%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COM020+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:47:56 EDT 2024

% Result   : Theorem 1.82s 0.61s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f6609,plain,
    $false,
    inference(avatar_sat_refutation,[],[f190,f199,f228,f240,f249,f253,f329,f334,f440,f549,f568,f623,f642,f907,f915,f986,f1216,f1245,f1458,f1480,f1541,f1587,f1603,f1698,f1751,f1881,f1886,f1980,f2038,f2042,f2123,f2236,f2243,f2365,f2531,f2559,f2562,f2564,f2580,f2882,f3042,f3045,f3061,f3064,f3090,f3246,f3312,f3316,f3330,f3333,f3346,f3428,f3461,f3560,f3579,f3649,f3916,f4017,f4033,f4254,f4264,f4268,f4379,f4619,f4649,f4872,f4901,f4952,f4954,f4956,f4958,f4990,f5056,f5130,f5348,f5353,f5548,f5552,f5556,f5561,f5566,f5571,f5575,f5577,f5579,f5582,f5585,f5589,f5719,f5720,f5858,f5869,f5935,f6237,f6245,f6248,f6330,f6605]) ).

fof(f6605,plain,
    ( ~ spl22_2
    | ~ spl22_31
    | ~ spl22_32
    | ~ spl22_94 ),
    inference(avatar_contradiction_clause,[],[f6604]) ).

fof(f6604,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_31
    | ~ spl22_32
    | ~ spl22_94 ),
    inference(subsumption_resolution,[],[f6603,f188]) ).

fof(f188,plain,
    ( aElement0(xd)
    | ~ spl22_2 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl22_2
  <=> aElement0(xd) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).

fof(f6603,plain,
    ( ~ aElement0(xd)
    | ~ spl22_2
    | ~ spl22_31
    | ~ spl22_32
    | ~ spl22_94 ),
    inference(subsumption_resolution,[],[f6599,f6232]) ).

fof(f6232,plain,
    ( sdtmndtasgtdt0(xu,xR,xd)
    | ~ spl22_94 ),
    inference(avatar_component_clause,[],[f6230]) ).

fof(f6230,plain,
    ( spl22_94
  <=> sdtmndtasgtdt0(xu,xR,xd) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_94])]) ).

fof(f6599,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,xd)
    | ~ aElement0(xd)
    | ~ spl22_2
    | ~ spl22_31
    | ~ spl22_32
    | ~ spl22_94 ),
    inference(resolution,[],[f6598,f5607]) ).

fof(f5607,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xb,xR,sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_32 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f359,f375,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f136,f1340,f1341,f1343,f1345,f137,f1394,f1395,f1397,f1399,f682,f686,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2355,f2356,f2353,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f348,f2342,f4681,f4682,f491,f4752,f4791,f4793,f4805,f4859,f4861,f4730,f4862,f4863,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f392,f5343,f5336,f5360,f5361,f1601,f5600,f5601,f965,f5605,f1040]) ).

fof(f1040,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(xb,xR,sK8(X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f1039,f107]) ).

fof(f1039,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(xb,xR,sK8(X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f1020,f114]) ).

fof(f1020,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(xb,xR,sK8(X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(xb)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(resolution,[],[f120,f109]) ).

fof(f5605,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_32 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f359,f375,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f136,f1340,f1341,f1343,f1345,f137,f1394,f1395,f1397,f1399,f682,f686,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2355,f2356,f2353,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f348,f2342,f4681,f4682,f491,f4752,f4791,f4793,f4805,f4859,f4861,f4730,f4862,f4863,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f392,f5343,f5336,f5360,f5361,f1040,f1601,f5600,f5601,f965]) ).

fof(f965,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f964,f107]) ).

fof(f964,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f945,f114]) ).

fof(f945,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(xb)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(resolution,[],[f119,f109]) ).

fof(f5601,plain,
    ( aElement0(sK8(xb,xu))
    | ~ spl22_32 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f359,f375,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f136,f1340,f1341,f1343,f1345,f137,f1394,f1395,f1397,f1399,f682,f686,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2355,f2356,f2353,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f348,f2342,f4681,f4682,f491,f4752,f4791,f4793,f4805,f4859,f4861,f4730,f4862,f4863,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f392,f5343,f5336,f5360,f5361,f1040,f965,f1601,f5600]) ).

fof(f5600,plain,
    ( aElement0(sK8(xb,xu))
    | ~ iLess0(xu,xa) ),
    inference(subsumption_resolution,[],[f5599,f114]) ).

fof(f5599,plain,
    ( aElement0(sK8(xb,xu))
    | ~ iLess0(xu,xa)
    | ~ aElement0(xb) ),
    inference(subsumption_resolution,[],[f2315,f107]) ).

fof(f2315,plain,
    ( aElement0(sK8(xb,xu))
    | ~ iLess0(xu,xa)
    | ~ aElement0(xu)
    | ~ aElement0(xb) ),
    inference(resolution,[],[f697,f109]) ).

fof(f1601,plain,
    ( iLess0(xu,xa)
    | ~ spl22_32 ),
    inference(avatar_component_clause,[],[f1600]) ).

fof(f1600,plain,
    ( spl22_32
  <=> iLess0(xu,xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_32])]) ).

fof(f5361,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | iLess0(sK15(X0),sK13(X0))
      | ~ sP4(X0)
      | sP2(X0) ),
    inference(subsumption_resolution,[],[f5342,f138]) ).

fof(f5342,plain,
    ! [X0] :
      ( ~ aElement0(sK13(X0))
      | ~ aRewritingSystem0(X0)
      | iLess0(sK15(X0),sK13(X0))
      | ~ sP4(X0)
      | sP2(X0) ),
    inference(resolution,[],[f392,f142]) ).

fof(f5360,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | iLess0(sK14(X0),sK13(X0))
      | ~ sP4(X0)
      | sP2(X0) ),
    inference(subsumption_resolution,[],[f5341,f138]) ).

fof(f5341,plain,
    ! [X0] :
      ( ~ aElement0(sK13(X0))
      | ~ aRewritingSystem0(X0)
      | iLess0(sK14(X0),sK13(X0))
      | ~ sP4(X0)
      | sP2(X0) ),
    inference(resolution,[],[f392,f141]) ).

fof(f5336,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | iLess0(sK21(X2,X1,X0),X0)
      | ~ sP4(X1)
      | aReductOfIn0(X2,X0,X1)
      | ~ sP6(X2,X1,X0) ),
    inference(resolution,[],[f392,f162]) ).

fof(f5343,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | iLess0(sK20(X1,X0),X0)
      | ~ sP4(X1)
      | aNormalFormOfIn0(X0,X2,X1)
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f5335]) ).

fof(f5335,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | iLess0(sK20(X1,X0),X0)
      | ~ sP4(X1)
      | aNormalFormOfIn0(X0,X2,X1)
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(resolution,[],[f392,f158]) ).

fof(f392,plain,
    ! [X2,X0,X1] :
      ( ~ aReductOfIn0(X2,X1,X0)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | iLess0(X2,X1)
      | ~ sP4(X0) ),
    inference(subsumption_resolution,[],[f390,f154]) ).

fof(f390,plain,
    ! [X2,X0,X1] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | ~ aReductOfIn0(X2,X1,X0)
      | iLess0(X2,X1)
      | ~ aElement0(X2)
      | ~ sP4(X0) ),
    inference(duplicate_literal_removal,[],[f379]) ).

fof(f379,plain,
    ! [X2,X0,X1] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | ~ aReductOfIn0(X2,X1,X0)
      | iLess0(X2,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ sP4(X0) ),
    inference(resolution,[],[f355,f147]) ).

fof(f5324,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X0)
      | aElement0(sK20(X1,X0))
      | ~ aRewritingSystem0(X1)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f5309]) ).

fof(f5309,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X0)
      | aElement0(sK20(X1,X0))
      | ~ aRewritingSystem0(X1)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f5258,f214]) ).

fof(f5258,plain,
    ! [X2,X0,X1] :
      ( ~ sP6(X2,X0,X1)
      | ~ aElement0(X1)
      | aElement0(sK20(X0,X1))
      | ~ aRewritingSystem0(X0) ),
    inference(subsumption_resolution,[],[f5250,f5238]) ).

fof(f5250,plain,
    ! [X2,X0,X1] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | aElement0(sK20(X0,X1))
      | aReductOfIn0(X2,X1,X0)
      | ~ sP6(X2,X0,X1) ),
    inference(resolution,[],[f5238,f162]) ).

fof(f5263,plain,
    ! [X0] :
      ( aElement0(sK20(X0,sK13(X0)))
      | ~ aRewritingSystem0(X0)
      | sP2(X0) ),
    inference(subsumption_resolution,[],[f5255,f138]) ).

fof(f5255,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(sK13(X0))
      | aElement0(sK20(X0,sK13(X0)))
      | sP2(X0) ),
    inference(resolution,[],[f5238,f141]) ).

fof(f5260,plain,
    aElement0(sK20(xR,xa)),
    inference(subsumption_resolution,[],[f5259,f113]) ).

fof(f5259,plain,
    ( ~ aElement0(xa)
    | aElement0(sK20(xR,xa)) ),
    inference(subsumption_resolution,[],[f5251,f100]) ).

fof(f5251,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xa)
    | aElement0(sK20(xR,xa)) ),
    inference(resolution,[],[f5238,f105]) ).

fof(f5308,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sK12(X1,X2,X0) = X0
      | sdtmndtplgtdt0(X0,X1,sK12(X1,X2,X0)) ),
    inference(subsumption_resolution,[],[f5286,f766]) ).

fof(f5286,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sK12(X1,X2,X0) = X0
      | sdtmndtplgtdt0(X0,X1,sK12(X1,X2,X0))
      | ~ aElement0(sK12(X1,X2,X0)) ),
    inference(duplicate_literal_removal,[],[f5285]) ).

fof(f5285,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sK12(X1,X2,X0) = X0
      | sdtmndtplgtdt0(X0,X1,sK12(X1,X2,X0))
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f1234,f167]) ).

fof(f5307,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X3,X1,X0)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f5287,f766]) ).

fof(f5287,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X3,X1,X0)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f5284]) ).

fof(f5284,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X3,X1,X0)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3) ),
    inference(resolution,[],[f1234,f171]) ).

fof(f5306,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aElement0(sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f5288,f766]) ).

fof(f5288,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aElement0(sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f5283]) ).

fof(f5283,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aElement0(sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3)
      | ~ aElement0(X0)
      | ~ sP0(X1) ),
    inference(resolution,[],[f1234,f123]) ).

fof(f5305,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f5289,f766]) ).

fof(f5289,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f5282]) ).

fof(f5282,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3)
      | ~ aElement0(X0)
      | ~ sP0(X1) ),
    inference(resolution,[],[f1234,f124]) ).

fof(f5304,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(sK12(X1,X2,X0),X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f5290,f766]) ).

fof(f5290,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(sK12(X1,X2,X0),X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f5281]) ).

fof(f5281,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(sK12(X1,X2,X0),X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3)
      | ~ aElement0(X0)
      | ~ sP0(X1) ),
    inference(resolution,[],[f1234,f125]) ).

fof(f5303,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aNormalFormOfIn0(sK12(X1,X2,X0),X0,X1)
      | aElement0(sK20(X1,sK12(X1,X2,X0))) ),
    inference(subsumption_resolution,[],[f5291,f766]) ).

fof(f5291,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aNormalFormOfIn0(sK12(X1,X2,X0),X0,X1)
      | ~ aElement0(sK12(X1,X2,X0))
      | aElement0(sK20(X1,sK12(X1,X2,X0))) ),
    inference(duplicate_literal_removal,[],[f5280]) ).

fof(f5280,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aNormalFormOfIn0(sK12(X1,X2,X0),X0,X1)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | aElement0(sK20(X1,sK12(X1,X2,X0))) ),
    inference(resolution,[],[f1234,f491]) ).

fof(f5302,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(sK15(X0),X0,X1)
      | ~ aElement0(X1)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK12(X0,X1,sK15(X0)))
      | ~ aElement0(sK12(X0,X1,sK15(X0))) ),
    inference(subsumption_resolution,[],[f5279,f140]) ).

fof(f5279,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(sK15(X0),X0,X1)
      | ~ aElement0(sK15(X0))
      | ~ aElement0(X1)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK12(X0,X1,sK15(X0)))
      | ~ aElement0(sK12(X0,X1,sK15(X0))) ),
    inference(resolution,[],[f1234,f143]) ).

fof(f5301,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,X1)
      | ~ aElement0(X1)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK12(X0,X1,sK14(X0)))
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK12(X0,X1,sK14(X0))) ),
    inference(subsumption_resolution,[],[f5292,f139]) ).

fof(f5292,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,X1)
      | ~ aElement0(sK14(X0))
      | ~ aElement0(X1)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK12(X0,X1,sK14(X0)))
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK12(X0,X1,sK14(X0))) ),
    inference(duplicate_literal_removal,[],[f5278]) ).

fof(f5278,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,X1)
      | ~ aElement0(sK14(X0))
      | ~ aElement0(X1)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK12(X0,X1,sK14(X0)))
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK12(X0,X1,sK14(X0))) ),
    inference(resolution,[],[f1234,f299]) ).

fof(f1234,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1) ),
    inference(duplicate_literal_removal,[],[f1229]) ).

fof(f1229,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ sP0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1) ),
    inference(resolution,[],[f125,f173]) ).

fof(f5264,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | aElement0(sK20(X0,sK13(X0)))
      | sP2(X0) ),
    inference(subsumption_resolution,[],[f5256,f138]) ).

fof(f5256,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(sK13(X0))
      | aElement0(sK20(X0,sK13(X0)))
      | sP2(X0) ),
    inference(resolution,[],[f5238,f142]) ).

fof(f5262,plain,
    aElement0(sK20(xR,xa)),
    inference(subsumption_resolution,[],[f5261,f113]) ).

fof(f5261,plain,
    ( ~ aElement0(xa)
    | aElement0(sK20(xR,xa)) ),
    inference(subsumption_resolution,[],[f5252,f100]) ).

fof(f5252,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xa)
    | aElement0(sK20(xR,xa)) ),
    inference(resolution,[],[f5238,f108]) ).

fof(f5238,plain,
    ! [X2,X0,X1] :
      ( ~ aReductOfIn0(X2,X1,X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | aElement0(sK20(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f5229]) ).

fof(f5229,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK20(X0,X1))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | ~ aReductOfIn0(X2,X1,X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f4731,f157]) ).

fof(f4731,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(X0,X0,X1)
      | aElement0(sK20(X1,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(duplicate_literal_removal,[],[f4722]) ).

fof(f4722,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(X0,X0,X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | aElement0(sK20(X1,X0))
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1) ),
    inference(resolution,[],[f491,f173]) ).

fof(f5174,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sK12(X1,X2,X0) = X2
      | sdtmndtplgtdt0(X2,X1,sK12(X1,X2,X0)) ),
    inference(subsumption_resolution,[],[f5152,f766]) ).

fof(f5152,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sK12(X1,X2,X0) = X2
      | sdtmndtplgtdt0(X2,X1,sK12(X1,X2,X0))
      | ~ aElement0(sK12(X1,X2,X0)) ),
    inference(duplicate_literal_removal,[],[f5151]) ).

fof(f5151,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sK12(X1,X2,X0) = X2
      | sdtmndtplgtdt0(X2,X1,sK12(X1,X2,X0))
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(resolution,[],[f1185,f167]) ).

fof(f5173,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X3,X1,X2)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f5153,f766]) ).

fof(f5153,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X3,X1,X2)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f5150]) ).

fof(f5150,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X3,X1,X2)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3) ),
    inference(resolution,[],[f1185,f171]) ).

fof(f5172,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aElement0(sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f5154,f766]) ).

fof(f5154,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aElement0(sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f5149]) ).

fof(f5149,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aElement0(sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ sP0(X1) ),
    inference(resolution,[],[f1185,f123]) ).

fof(f5171,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f5155,f766]) ).

fof(f5155,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f5148]) ).

fof(f5148,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(X3,X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ sP0(X1) ),
    inference(resolution,[],[f1185,f124]) ).

fof(f5170,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(sK12(X1,X2,X0),X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f5156,f766]) ).

fof(f5156,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(sK12(X1,X2,X0),X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f5147]) ).

fof(f5147,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sdtmndtasgtdt0(sK12(X1,X2,X0),X1,sK12(X1,X3,sK12(X1,X2,X0)))
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ sP0(X1) ),
    inference(resolution,[],[f1185,f125]) ).

fof(f5169,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aNormalFormOfIn0(sK12(X1,X2,X0),X2,X1)
      | aElement0(sK20(X1,sK12(X1,X2,X0))) ),
    inference(subsumption_resolution,[],[f5157,f766]) ).

fof(f5157,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aNormalFormOfIn0(sK12(X1,X2,X0),X2,X1)
      | ~ aElement0(sK12(X1,X2,X0))
      | aElement0(sK20(X1,sK12(X1,X2,X0))) ),
    inference(duplicate_literal_removal,[],[f5146]) ).

fof(f5146,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | aNormalFormOfIn0(sK12(X1,X2,X0),X2,X1)
      | ~ aElement0(sK12(X1,X2,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | aElement0(sK20(X1,sK12(X1,X2,X0))) ),
    inference(resolution,[],[f1185,f491]) ).

fof(f5168,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK15(X1))
      | ~ aElement0(X0)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sP2(X1)
      | ~ sdtmndtasgtdt0(sK14(X1),X1,sK12(X1,sK15(X1),X0))
      | ~ aElement0(sK12(X1,sK15(X1),X0)) ),
    inference(subsumption_resolution,[],[f5145,f140]) ).

fof(f5145,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK15(X1))
      | ~ aElement0(X0)
      | ~ aElement0(sK15(X1))
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | sP2(X1)
      | ~ sdtmndtasgtdt0(sK14(X1),X1,sK12(X1,sK15(X1),X0))
      | ~ aElement0(sK12(X1,sK15(X1),X0)) ),
    inference(resolution,[],[f1185,f143]) ).

fof(f5167,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK14(X1))
      | ~ aElement0(X0)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(sK12(X1,sK14(X1),X0))
      | sP2(X1)
      | ~ sdtmndtplgtdt0(sK15(X1),X1,sK12(X1,sK14(X1),X0)) ),
    inference(subsumption_resolution,[],[f5158,f139]) ).

fof(f5158,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK14(X1))
      | ~ aElement0(X0)
      | ~ aElement0(sK14(X1))
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(sK12(X1,sK14(X1),X0))
      | sP2(X1)
      | ~ sdtmndtplgtdt0(sK15(X1),X1,sK12(X1,sK14(X1),X0)) ),
    inference(duplicate_literal_removal,[],[f5144]) ).

fof(f5144,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK14(X1))
      | ~ aElement0(X0)
      | ~ aElement0(sK14(X1))
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(sK12(X1,sK14(X1),X0))
      | ~ aRewritingSystem0(X1)
      | sP2(X1)
      | ~ sdtmndtplgtdt0(sK15(X1),X1,sK12(X1,sK14(X1),X0)) ),
    inference(resolution,[],[f1185,f299]) ).

fof(f1185,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X0,X2))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1) ),
    inference(duplicate_literal_removal,[],[f1180]) ).

fof(f1180,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X0,X2))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1) ),
    inference(resolution,[],[f124,f173]) ).

fof(f347,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aReductOfIn0(sK21(X0,X2,X1),X3,X2)
      | ~ sP6(X0,X2,X1)
      | sP6(X0,X2,X3)
      | aReductOfIn0(X0,X1,X2) ),
    inference(subsumption_resolution,[],[f345,f161]) ).

fof(f345,plain,
    ! [X2,X3,X0,X1] :
      ( aReductOfIn0(X0,X1,X2)
      | ~ sP6(X0,X2,X1)
      | sP6(X0,X2,X3)
      | ~ aReductOfIn0(sK21(X0,X2,X1),X3,X2)
      | ~ aElement0(sK21(X0,X2,X1)) ),
    inference(resolution,[],[f163,f165]) ).

fof(f4863,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK11(X0),X1,X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | aElement0(sK20(X0,sK11(X0)))
      | ~ sdtmndtasgtdt0(X1,X0,sK9(X0))
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4728,f128]) ).

fof(f4728,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK11(X0),X1,X0)
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | aElement0(sK20(X0,sK11(X0)))
      | ~ sdtmndtasgtdt0(X1,X0,sK9(X0))
      | sP0(X0) ),
    inference(duplicate_literal_removal,[],[f4725]) ).

fof(f4725,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK11(X0),X1,X0)
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | aElement0(sK20(X0,sK11(X0)))
      | ~ sdtmndtasgtdt0(X1,X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | sP0(X0) ),
    inference(resolution,[],[f491,f613]) ).

fof(f4862,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK10(X0),X1,X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | aElement0(sK20(X0,sK10(X0)))
      | ~ sdtmndtasgtdt0(X1,X0,sK9(X0))
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4729,f127]) ).

fof(f4729,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK10(X0),X1,X0)
      | ~ aElement0(sK10(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | aElement0(sK20(X0,sK10(X0)))
      | ~ sdtmndtasgtdt0(X1,X0,sK9(X0))
      | sP0(X0) ),
    inference(duplicate_literal_removal,[],[f4724]) ).

fof(f4724,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK10(X0),X1,X0)
      | ~ aElement0(sK10(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | aElement0(sK20(X0,sK10(X0)))
      | ~ sdtmndtasgtdt0(X1,X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | sP0(X0) ),
    inference(resolution,[],[f491,f611]) ).

fof(f4730,plain,
    ! [X2,X0,X1] :
      ( aNormalFormOfIn0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X2)
      | ~ aElement0(X1)
      | aElement0(sK20(X2,X0))
      | ~ sdtmndtplgtdt0(X1,X2,X0) ),
    inference(duplicate_literal_removal,[],[f4723]) ).

fof(f4723,plain,
    ! [X2,X0,X1] :
      ( aNormalFormOfIn0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X2)
      | ~ aElement0(X1)
      | aElement0(sK20(X2,X0))
      | ~ sdtmndtplgtdt0(X1,X2,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X2)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f491,f169]) ).

fof(f4861,plain,
    ! [X0] :
      ( aNormalFormOfIn0(sK11(X0),sK9(X0),X0)
      | ~ aRewritingSystem0(X0)
      | aElement0(sK20(X0,sK11(X0)))
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4860,f126]) ).

fof(f4860,plain,
    ! [X0] :
      ( aNormalFormOfIn0(sK11(X0),sK9(X0),X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK9(X0))
      | aElement0(sK20(X0,sK11(X0)))
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4721,f128]) ).

fof(f4721,plain,
    ! [X0] :
      ( aNormalFormOfIn0(sK11(X0),sK9(X0),X0)
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK9(X0))
      | aElement0(sK20(X0,sK11(X0)))
      | sP0(X0) ),
    inference(resolution,[],[f491,f130]) ).

fof(f4859,plain,
    ! [X0] :
      ( aNormalFormOfIn0(sK10(X0),sK9(X0),X0)
      | ~ aRewritingSystem0(X0)
      | aElement0(sK20(X0,sK10(X0)))
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4858,f126]) ).

fof(f4858,plain,
    ! [X0] :
      ( aNormalFormOfIn0(sK10(X0),sK9(X0),X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK9(X0))
      | aElement0(sK20(X0,sK10(X0)))
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4720,f127]) ).

fof(f4720,plain,
    ! [X0] :
      ( aNormalFormOfIn0(sK10(X0),sK9(X0),X0)
      | ~ aElement0(sK10(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK9(X0))
      | aElement0(sK20(X0,sK10(X0)))
      | sP0(X0) ),
    inference(resolution,[],[f491,f129]) ).

fof(f4805,plain,
    ( aNormalFormOfIn0(xb,xu,xR)
    | aElement0(sK20(xR,xb)) ),
    inference(subsumption_resolution,[],[f4804,f107]) ).

fof(f4804,plain,
    ( aNormalFormOfIn0(xb,xu,xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xb)) ),
    inference(subsumption_resolution,[],[f4803,f100]) ).

fof(f4803,plain,
    ( aNormalFormOfIn0(xb,xu,xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xb)) ),
    inference(subsumption_resolution,[],[f4705,f114]) ).

fof(f4705,plain,
    ( aNormalFormOfIn0(xb,xu,xR)
    | ~ aElement0(xb)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xb)) ),
    inference(resolution,[],[f491,f109]) ).

fof(f4793,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK8(X0,X1),X1,xR)
      | ~ aElement0(X1)
      | aElement0(sK20(xR,sK8(X0,X1)))
      | ~ iLess0(X1,xa)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f4792,f697]) ).

fof(f4792,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK8(X0,X1),X1,xR)
      | ~ aElement0(sK8(X0,X1))
      | ~ aElement0(X1)
      | aElement0(sK20(xR,sK8(X0,X1)))
      | ~ iLess0(X1,xa)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f4737,f100]) ).

fof(f4737,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK8(X0,X1),X1,xR)
      | ~ aElement0(sK8(X0,X1))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1)
      | aElement0(sK20(xR,sK8(X0,X1)))
      | ~ iLess0(X1,xa)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X0) ),
    inference(duplicate_literal_removal,[],[f4700]) ).

fof(f4700,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK8(X0,X1),X1,xR)
      | ~ aElement0(sK8(X0,X1))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1)
      | aElement0(sK20(xR,sK8(X0,X1)))
      | ~ iLess0(X1,xa)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f491,f1055]) ).

fof(f4791,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK8(X0,X1),X0,xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,sK8(X0,X1)))
      | ~ iLess0(X1,xa)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f4790,f697]) ).

fof(f4790,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK8(X0,X1),X0,xR)
      | ~ aElement0(sK8(X0,X1))
      | ~ aElement0(X0)
      | aElement0(sK20(xR,sK8(X0,X1)))
      | ~ iLess0(X1,xa)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f4738,f100]) ).

fof(f4738,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK8(X0,X1),X0,xR)
      | ~ aElement0(sK8(X0,X1))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,sK8(X0,X1)))
      | ~ iLess0(X1,xa)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f4699]) ).

fof(f4699,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK8(X0,X1),X0,xR)
      | ~ aElement0(sK8(X0,X1))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,sK8(X0,X1)))
      | ~ iLess0(X1,xa)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f491,f974]) ).

fof(f4752,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xb,X0,xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xb))
      | ~ sdtmndtplgtdt0(X0,xR,xu) ),
    inference(subsumption_resolution,[],[f4751,f100]) ).

fof(f4751,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xb,X0,xR)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xb))
      | ~ sdtmndtplgtdt0(X0,xR,xu) ),
    inference(subsumption_resolution,[],[f4750,f114]) ).

fof(f4750,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xb,X0,xR)
      | ~ aElement0(xb)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xb))
      | ~ sdtmndtplgtdt0(X0,xR,xu) ),
    inference(duplicate_literal_removal,[],[f4687]) ).

fof(f4687,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xb,X0,xR)
      | ~ aElement0(xb)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xb))
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu) ),
    inference(resolution,[],[f491,f852]) ).

fof(f491,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X1,X2,X0)
      | aNormalFormOfIn0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X2)
      | ~ aElement0(X1)
      | aElement0(sK20(X2,X0)) ),
    inference(duplicate_literal_removal,[],[f480]) ).

fof(f480,plain,
    ! [X2,X0,X1] :
      ( aNormalFormOfIn0(X0,X1,X2)
      | ~ sdtmndtasgtdt0(X1,X2,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X2)
      | ~ aElement0(X1)
      | aElement0(sK20(X2,X0))
      | ~ aRewritingSystem0(X2)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f158,f154]) ).

fof(f4682,plain,
    ! [X0] :
      ( ~ iLess0(sK21(xu,xR,X0),xa)
      | aElement0(sK8(xb,sK21(xu,xR,X0)))
      | aReductOfIn0(xu,X0,xR)
      | ~ sP6(xu,xR,X0) ),
    inference(subsumption_resolution,[],[f4679,f161]) ).

fof(f4679,plain,
    ! [X0] :
      ( ~ iLess0(sK21(xu,xR,X0),xa)
      | ~ aElement0(sK21(xu,xR,X0))
      | aElement0(sK8(xb,sK21(xu,xR,X0)))
      | aReductOfIn0(xu,X0,xR)
      | ~ sP6(xu,xR,X0) ),
    inference(resolution,[],[f2342,f163]) ).

fof(f4681,plain,
    ! [X0] :
      ( ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | aElement0(sK8(xb,X0))
      | ~ aReductOfIn0(xu,X0,xR) ),
    inference(subsumption_resolution,[],[f4680,f100]) ).

fof(f4680,plain,
    ! [X0] :
      ( ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | aElement0(sK8(xb,X0))
      | ~ aRewritingSystem0(xR)
      | ~ aReductOfIn0(xu,X0,xR) ),
    inference(duplicate_literal_removal,[],[f4678]) ).

fof(f4678,plain,
    ! [X0] :
      ( ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | aElement0(sK8(xb,X0))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xu,X0,xR) ),
    inference(resolution,[],[f2342,f355]) ).

fof(f2342,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | aElement0(sK8(xb,X0)) ),
    inference(subsumption_resolution,[],[f2341,f114]) ).

fof(f2341,plain,
    ! [X0] :
      ( aElement0(sK8(xb,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(xb)
      | ~ sdtmndtplgtdt0(X0,xR,xu) ),
    inference(duplicate_literal_removal,[],[f2308]) ).

fof(f2308,plain,
    ! [X0] :
      ( aElement0(sK8(xb,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(xb)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu) ),
    inference(resolution,[],[f697,f852]) ).

fof(f348,plain,
    ! [X2,X0,X1] :
      ( iLess0(X0,sK21(X0,X2,X1))
      | ~ sP6(X0,X2,X1)
      | aReductOfIn0(X0,X1,X2)
      | ~ aElement0(X0)
      | ~ sP4(X2) ),
    inference(subsumption_resolution,[],[f346,f161]) ).

fof(f346,plain,
    ! [X2,X0,X1] :
      ( aReductOfIn0(X0,X1,X2)
      | ~ sP6(X0,X2,X1)
      | iLess0(X0,sK21(X0,X2,X1))
      | ~ aElement0(X0)
      | ~ aElement0(sK21(X0,X2,X1))
      | ~ sP4(X2) ),
    inference(resolution,[],[f163,f147]) ).

fof(f766,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK12(X0,X1,X2))
      | ~ sdtmndtasgtdt0(X2,X0,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(duplicate_literal_removal,[],[f761]) ).

fof(f761,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK12(X0,X1,X2))
      | ~ sdtmndtasgtdt0(X2,X0,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ sP0(X0)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f123,f173]) ).

fof(f4353,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sK8(X1,X0) = X0
      | sdtmndtplgtdt0(X0,xR,sK8(X1,X0)) ),
    inference(subsumption_resolution,[],[f4352,f697]) ).

fof(f4352,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sK8(X1,X0) = X0
      | sdtmndtplgtdt0(X0,xR,sK8(X1,X0))
      | ~ aElement0(sK8(X1,X0)) ),
    inference(subsumption_resolution,[],[f4326,f100]) ).

fof(f4326,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sK8(X1,X0) = X0
      | sdtmndtplgtdt0(X0,xR,sK8(X1,X0))
      | ~ aElement0(sK8(X1,X0))
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f4325]) ).

fof(f4325,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sK8(X1,X0) = X0
      | sdtmndtplgtdt0(X0,xR,sK8(X1,X0))
      | ~ aElement0(sK8(X1,X0))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f1055,f167]) ).

fof(f4351,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X2,xR,X0)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4350,f697]) ).

fof(f4350,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X2,xR,X0)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4327,f100]) ).

fof(f4327,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X2,xR,X0)
      | ~ aElement0(sK8(X1,X0))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f4324]) ).

fof(f4324,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X2,xR,X0)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X2) ),
    inference(resolution,[],[f1055,f171]) ).

fof(f4342,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | aElement0(sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4331,f697]) ).

fof(f4331,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | aElement0(sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f4312]) ).

fof(f4312,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f1055,f118]) ).

fof(f4341,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4332,f697]) ).

fof(f4332,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f4311]) ).

fof(f4311,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X2,xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f1055,f119]) ).

fof(f4340,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(sK8(X1,X0),xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4333,f697]) ).

fof(f4333,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(sK8(X1,X0),xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f4310]) ).

fof(f4310,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(sK8(X1,X0),xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f1055,f120]) ).

fof(f4339,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | aElement0(sK8(sK8(X1,X0),X0)) ),
    inference(subsumption_resolution,[],[f4334,f697]) ).

fof(f4334,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | aElement0(sK8(sK8(X1,X0),X0))
      | ~ aElement0(sK8(X1,X0)) ),
    inference(duplicate_literal_removal,[],[f4309]) ).

fof(f4309,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | aElement0(sK8(sK8(X1,X0),X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(sK8(X1,X0)) ),
    inference(resolution,[],[f1055,f697]) ).

fof(f1055,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,xR,sK8(X1,X0))
      | ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f1033,f100]) ).

fof(f1033,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f1028]) ).

fof(f1028,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR) ),
    inference(resolution,[],[f120,f173]) ).

fof(f4178,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sK8(X1,X0) = X1
      | sdtmndtplgtdt0(X1,xR,sK8(X1,X0)) ),
    inference(subsumption_resolution,[],[f4177,f697]) ).

fof(f4177,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sK8(X1,X0) = X1
      | sdtmndtplgtdt0(X1,xR,sK8(X1,X0))
      | ~ aElement0(sK8(X1,X0)) ),
    inference(subsumption_resolution,[],[f4150,f100]) ).

fof(f4150,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sK8(X1,X0) = X1
      | sdtmndtplgtdt0(X1,xR,sK8(X1,X0))
      | ~ aElement0(sK8(X1,X0))
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f4149]) ).

fof(f4149,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sK8(X1,X0) = X1
      | sdtmndtplgtdt0(X1,xR,sK8(X1,X0))
      | ~ aElement0(sK8(X1,X0))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f974,f167]) ).

fof(f4176,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X2,xR,X1)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4175,f697]) ).

fof(f4175,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X2,xR,X1)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4151,f100]) ).

fof(f4151,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X2,xR,X1)
      | ~ aElement0(sK8(X1,X0))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f4148]) ).

fof(f4148,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtmndtasgtdt0(X2,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X2,xR,X1)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X2) ),
    inference(resolution,[],[f974,f171]) ).

fof(f4166,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X1,xa)
      | aElement0(sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X1,xR,X2)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4155,f697]) ).

fof(f4155,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X1,xa)
      | aElement0(sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X1,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f4136]) ).

fof(f4136,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X1,xa)
      | aElement0(sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X1,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f974,f118]) ).

fof(f4165,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X1,xa)
      | sdtmndtasgtdt0(X2,xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X1,xR,X2)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4156,f697]) ).

fof(f4156,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X1,xa)
      | sdtmndtasgtdt0(X2,xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X1,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f4135]) ).

fof(f4135,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X1,xa)
      | sdtmndtasgtdt0(X2,xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X1,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f974,f119]) ).

fof(f4164,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X1,xa)
      | sdtmndtasgtdt0(sK8(X1,X0),xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X1,xR,X2)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4157,f697]) ).

fof(f4157,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X1,xa)
      | sdtmndtasgtdt0(sK8(X1,X0),xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X1,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f4134]) ).

fof(f4134,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ iLess0(X1,xa)
      | sdtmndtasgtdt0(sK8(X1,X0),xR,sK8(X2,sK8(X1,X0)))
      | ~ sdtmndtasgtdt0(X1,xR,X2)
      | ~ aElement0(sK8(X1,X0))
      | ~ aElement0(X2)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f974,f120]) ).

fof(f4163,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | aElement0(sK8(sK8(X1,X0),X1))
      | ~ iLess0(X1,xa) ),
    inference(subsumption_resolution,[],[f4158,f697]) ).

fof(f4158,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | aElement0(sK8(sK8(X1,X0),X1))
      | ~ iLess0(X1,xa)
      | ~ aElement0(sK8(X1,X0)) ),
    inference(duplicate_literal_removal,[],[f4133]) ).

fof(f4133,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | aElement0(sK8(sK8(X1,X0),X1))
      | ~ iLess0(X1,xa)
      | ~ aElement0(X1)
      | ~ aElement0(sK8(X1,X0)) ),
    inference(resolution,[],[f974,f697]) ).

fof(f974,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X1,xR,sK8(X1,X0))
      | ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f958,f100]) ).

fof(f958,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f953]) ).

fof(f953,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR) ),
    inference(resolution,[],[f119,f173]) ).

fof(f4124,plain,
    ! [X0] :
      ( ~ aReductOfIn0(sK9(X0),sK10(X0),X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4123,f127]) ).

fof(f4123,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | ~ aReductOfIn0(sK9(X0),sK10(X0),X0) ),
    inference(duplicate_literal_removal,[],[f4122]) ).

fof(f4122,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | ~ aReductOfIn0(sK9(X0),sK10(X0),X0) ),
    inference(resolution,[],[f4118,f355]) ).

fof(f4121,plain,
    ! [X0] :
      ( ~ aReductOfIn0(sK9(X0),sK11(X0),X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4120,f128]) ).

fof(f4120,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | ~ aReductOfIn0(sK9(X0),sK11(X0),X0) ),
    inference(duplicate_literal_removal,[],[f4119]) ).

fof(f4119,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | ~ aReductOfIn0(sK9(X0),sK11(X0),X0) ),
    inference(resolution,[],[f4114,f355]) ).

fof(f4118,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK10(X0),X0,sK9(X0))
      | sP0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(subsumption_resolution,[],[f4117,f127]) ).

fof(f4117,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aElement0(sK10(X0)) ),
    inference(subsumption_resolution,[],[f4116,f126]) ).

fof(f4116,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aElement0(sK9(X0))
      | ~ aElement0(sK10(X0)) ),
    inference(duplicate_literal_removal,[],[f4115]) ).

fof(f4115,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aElement0(sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0)) ),
    inference(resolution,[],[f4101,f169]) ).

fof(f4114,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK11(X0),X0,sK9(X0))
      | sP0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(subsumption_resolution,[],[f4113,f128]) ).

fof(f4113,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK9(X0))
      | ~ aElement0(sK11(X0)) ),
    inference(subsumption_resolution,[],[f4112,f126]) ).

fof(f4112,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK9(X0))
      | ~ aElement0(sK9(X0))
      | ~ aElement0(sK11(X0)) ),
    inference(duplicate_literal_removal,[],[f4111]) ).

fof(f4111,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK9(X0))
      | ~ aElement0(sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0)) ),
    inference(resolution,[],[f4002,f169]) ).

fof(f4101,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4082,f127]) ).

fof(f4082,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | sP0(X0) ),
    inference(duplicate_literal_removal,[],[f4064]) ).

fof(f4064,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | sP0(X0)
      | sP0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f613,f259]) ).

fof(f4002,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK11(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f4001,f127]) ).

fof(f4001,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK11(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ aElement0(sK10(X0)) ),
    inference(subsumption_resolution,[],[f4000,f173]) ).

fof(f4000,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK11(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,sK10(X0))
      | ~ aElement0(sK10(X0)) ),
    inference(subsumption_resolution,[],[f3968,f128]) ).

fof(f3968,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK11(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,sK10(X0))
      | ~ aElement0(sK10(X0)) ),
    inference(duplicate_literal_removal,[],[f3954]) ).

fof(f3954,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK11(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | sP0(X0)
      | sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,sK10(X0))
      | ~ aElement0(sK10(X0)) ),
    inference(resolution,[],[f611,f131]) ).

fof(f4110,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sK11(X1) = X0
      | sdtmndtplgtdt0(X0,X1,sK11(X1)) ),
    inference(subsumption_resolution,[],[f4074,f128]) ).

fof(f4074,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sK11(X1) = X0
      | sdtmndtplgtdt0(X0,X1,sK11(X1))
      | ~ aElement0(sK11(X1)) ),
    inference(duplicate_literal_removal,[],[f4073]) ).

fof(f4073,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sK11(X1) = X0
      | sdtmndtplgtdt0(X0,X1,sK11(X1))
      | ~ aElement0(sK11(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f613,f167]) ).

fof(f4109,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sdtmndtasgtdt0(X2,X1,sK11(X1))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f4075,f128]) ).

fof(f4075,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sdtmndtasgtdt0(X2,X1,sK11(X1))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(sK11(X1))
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f4072]) ).

fof(f4072,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sdtmndtasgtdt0(X2,X1,sK11(X1))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(sK11(X1))
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(resolution,[],[f613,f171]) ).

fof(f4108,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK15(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK11(X0)) ),
    inference(subsumption_resolution,[],[f4107,f128]) ).

fof(f4107,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK15(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK11(X0))
      | ~ aElement0(sK11(X0)) ),
    inference(subsumption_resolution,[],[f4068,f140]) ).

fof(f4068,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK15(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK15(X0))
      | sP0(X0)
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK11(X0))
      | ~ aElement0(sK11(X0)) ),
    inference(resolution,[],[f613,f143]) ).

fof(f4106,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK11(X0)) ),
    inference(subsumption_resolution,[],[f4105,f128]) ).

fof(f4105,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ aElement0(sK11(X0))
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK11(X0)) ),
    inference(subsumption_resolution,[],[f4079,f139]) ).

fof(f4079,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | sP0(X0)
      | ~ aElement0(sK11(X0))
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK11(X0)) ),
    inference(duplicate_literal_removal,[],[f4067]) ).

fof(f4067,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | sP0(X0)
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK11(X0)) ),
    inference(resolution,[],[f613,f299]) ).

fof(f4104,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f359,f375,f355,f391,f392,f397,f398,f167,f431,f158,f491,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f766,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1055,f1057,f1058,f124,f1185,f1190,f1183,f125,f1234,f1239,f1232,f136,f1340,f1341,f1343,f1345,f137,f1394,f1395,f1397,f1399,f682,f686,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2342,f2343,f2355,f2356,f2353,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4002,f4004,f4006,f4007,f4008,f613,f4101,f4103]) ).

fof(f4103,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK11(X0)) ),
    inference(subsumption_resolution,[],[f4102,f128]) ).

fof(f4102,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ aElement0(sK11(X0))
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK11(X0)) ),
    inference(subsumption_resolution,[],[f4081,f127]) ).

fof(f4081,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | sP0(X0)
      | ~ aElement0(sK11(X0))
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK11(X0)) ),
    inference(duplicate_literal_removal,[],[f4065]) ).

fof(f4065,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | sP0(X0)
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK11(X0)) ),
    inference(resolution,[],[f613,f296]) ).

fof(f613,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK11(X1))
      | ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1) ),
    inference(subsumption_resolution,[],[f612,f126]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK11(X1))
      | ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aElement0(sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1) ),
    inference(subsumption_resolution,[],[f586,f128]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK11(X1))
      | ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aElement0(sK11(X1))
      | ~ aElement0(sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1) ),
    inference(resolution,[],[f171,f130]) ).

fof(f4008,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sK10(X1) = X0
      | sdtmndtplgtdt0(X0,X1,sK10(X1)) ),
    inference(subsumption_resolution,[],[f3962,f127]) ).

fof(f3962,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sK10(X1) = X0
      | sdtmndtplgtdt0(X0,X1,sK10(X1))
      | ~ aElement0(sK10(X1)) ),
    inference(duplicate_literal_removal,[],[f3961]) ).

fof(f3961,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sK10(X1) = X0
      | sdtmndtplgtdt0(X0,X1,sK10(X1))
      | ~ aElement0(sK10(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f611,f167]) ).

fof(f4007,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sdtmndtasgtdt0(X2,X1,sK10(X1))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f3963,f127]) ).

fof(f3963,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sdtmndtasgtdt0(X2,X1,sK10(X1))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(sK10(X1))
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f3960]) ).

fof(f3960,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1)
      | sdtmndtasgtdt0(X2,X1,sK10(X1))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(sK10(X1))
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(resolution,[],[f611,f171]) ).

fof(f4006,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK15(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK10(X0)) ),
    inference(subsumption_resolution,[],[f4005,f127]) ).

fof(f4005,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK15(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK10(X0))
      | ~ aElement0(sK10(X0)) ),
    inference(subsumption_resolution,[],[f3956,f140]) ).

fof(f3956,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK15(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK15(X0))
      | sP0(X0)
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK10(X0))
      | ~ aElement0(sK10(X0)) ),
    inference(resolution,[],[f611,f143]) ).

fof(f4004,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK10(X0)) ),
    inference(subsumption_resolution,[],[f4003,f127]) ).

fof(f4003,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ aElement0(sK10(X0))
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK10(X0)) ),
    inference(subsumption_resolution,[],[f3967,f139]) ).

fof(f3967,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | sP0(X0)
      | ~ aElement0(sK10(X0))
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK10(X0)) ),
    inference(duplicate_literal_removal,[],[f3955]) ).

fof(f3955,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | sP0(X0)
      | ~ aElement0(sK10(X0))
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK10(X0)) ),
    inference(resolution,[],[f611,f299]) ).

fof(f611,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK10(X1))
      | ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1) ),
    inference(subsumption_resolution,[],[f610,f126]) ).

fof(f610,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK10(X1))
      | ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aElement0(sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1) ),
    inference(subsumption_resolution,[],[f585,f127]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK10(X1))
      | ~ sdtmndtasgtdt0(X0,X1,sK9(X1))
      | ~ aElement0(sK10(X1))
      | ~ aElement0(sK9(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP0(X1) ),
    inference(resolution,[],[f171,f129]) ).

fof(f3858,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,X1,sK17(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP4(X1)
      | sP6(sK18(X1),X1,X2)
      | ~ aReductOfIn0(X0,X2,X1) ),
    inference(duplicate_literal_removal,[],[f3845]) ).

fof(f3845,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,X1,sK17(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP4(X1)
      | sP6(sK18(X1),X1,X2)
      | ~ aReductOfIn0(X0,X2,X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f539,f165]) ).

fof(f3860,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,X1,sK17(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP4(X1)
      | sdtmndtplgtdt0(X2,X1,sK18(X1))
      | ~ sdtmndtplgtdt0(X2,X1,X0)
      | ~ aElement0(X2) ),
    inference(subsumption_resolution,[],[f3859,f149]) ).

fof(f3859,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,X1,sK17(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP4(X1)
      | sdtmndtplgtdt0(X2,X1,sK18(X1))
      | ~ sdtmndtplgtdt0(X2,X1,X0)
      | ~ aElement0(sK18(X1))
      | ~ aElement0(X2) ),
    inference(duplicate_literal_removal,[],[f3844]) ).

fof(f3844,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,X1,sK17(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP4(X1)
      | sdtmndtplgtdt0(X2,X1,sK18(X1))
      | ~ sdtmndtplgtdt0(X2,X1,X0)
      | ~ aElement0(sK18(X1))
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(resolution,[],[f539,f170]) ).

fof(f539,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,sK18(X1))
      | ~ sdtmndtplgtdt0(X0,X1,sK17(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP4(X1) ),
    inference(subsumption_resolution,[],[f538,f148]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,sK18(X1))
      | ~ sdtmndtplgtdt0(X0,X1,sK17(X1))
      | ~ aElement0(sK17(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP4(X1) ),
    inference(subsumption_resolution,[],[f522,f149]) ).

fof(f522,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,sK18(X1))
      | ~ sdtmndtplgtdt0(X0,X1,sK17(X1))
      | ~ aElement0(sK18(X1))
      | ~ aElement0(sK17(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | sP4(X1) ),
    inference(resolution,[],[f170,f150]) ).

fof(f3679,plain,
    ! [X0] :
      ( ~ aReductOfIn0(sK14(X0),sK15(X0),X0)
      | ~ aRewritingSystem0(X0)
      | sP2(X0) ),
    inference(subsumption_resolution,[],[f3678,f140]) ).

fof(f3678,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK15(X0))
      | ~ aReductOfIn0(sK14(X0),sK15(X0),X0) ),
    inference(duplicate_literal_removal,[],[f3677]) ).

fof(f3677,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK15(X0))
      | ~ aReductOfIn0(sK14(X0),sK15(X0),X0) ),
    inference(resolution,[],[f3673,f355]) ).

fof(f3673,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK15(X0),X0,sK14(X0))
      | sP2(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(subsumption_resolution,[],[f3672,f139]) ).

fof(f3672,plain,
    ! [X0] :
      ( ~ aElement0(sK14(X0))
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK14(X0)) ),
    inference(duplicate_literal_removal,[],[f3667]) ).

fof(f3667,plain,
    ! [X0] :
      ( ~ aElement0(sK14(X0))
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK14(X0))
      | ~ aElement0(sK14(X0))
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f299,f173]) ).

fof(f3676,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | sP2(X1)
      | ~ sdtmndtplgtdt0(sK15(X1),X1,X0)
      | ~ sdtmndtplgtdt0(sK14(X1),X1,X0) ),
    inference(subsumption_resolution,[],[f3670,f139]) ).

fof(f3670,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | sP2(X1)
      | ~ sdtmndtplgtdt0(sK15(X1),X1,X0)
      | ~ sdtmndtplgtdt0(sK14(X1),X1,X0)
      | ~ aElement0(sK14(X1)) ),
    inference(duplicate_literal_removal,[],[f3669]) ).

fof(f3669,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | sP2(X1)
      | ~ sdtmndtplgtdt0(sK15(X1),X1,X0)
      | ~ sdtmndtplgtdt0(sK14(X1),X1,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(sK14(X1)) ),
    inference(resolution,[],[f299,f169]) ).

fof(f3675,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK19(X0,sK14(X0)))
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f3674,f139]) ).

fof(f3674,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK19(X0,sK14(X0)))
      | ~ aElement0(sK14(X0))
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f3671,f203]) ).

fof(f3671,plain,
    ! [X0] :
      ( ~ aElement0(sK19(X0,sK14(X0)))
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK19(X0,sK14(X0)))
      | ~ aElement0(sK14(X0))
      | ~ isTerminating0(X0) ),
    inference(duplicate_literal_removal,[],[f3668]) ).

fof(f3668,plain,
    ! [X0] :
      ( ~ aElement0(sK19(X0,sK14(X0)))
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,sK19(X0,sK14(X0)))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | ~ isTerminating0(X0) ),
    inference(resolution,[],[f299,f206]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | sP2(X0)
      | ~ sdtmndtplgtdt0(sK15(X0),X0,X1) ),
    inference(subsumption_resolution,[],[f281,f140]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(sK15(X0),X0,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK15(X0))
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,X1) ),
    inference(duplicate_literal_removal,[],[f280]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(sK15(X0),X0,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK15(X0))
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,X1)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f169,f143]) ).

fof(f3636,plain,
    ! [X0] :
      ( ~ aReductOfIn0(sK10(X0),sK11(X0),X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f3635,f128]) ).

fof(f3635,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | ~ aReductOfIn0(sK10(X0),sK11(X0),X0) ),
    inference(duplicate_literal_removal,[],[f3634]) ).

fof(f3634,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | ~ aReductOfIn0(sK10(X0),sK11(X0),X0) ),
    inference(resolution,[],[f3627,f355]) ).

fof(f3627,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK11(X0),X0,sK10(X0))
      | sP0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(subsumption_resolution,[],[f3598,f127]) ).

fof(f3598,plain,
    ! [X0] :
      ( ~ aElement0(sK10(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK10(X0)) ),
    inference(duplicate_literal_removal,[],[f3593]) ).

fof(f3593,plain,
    ! [X0] :
      ( ~ aElement0(sK10(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK10(X0))
      | ~ aElement0(sK10(X0))
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f296,f173]) ).

fof(f3630,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | sP0(X1)
      | ~ sdtmndtplgtdt0(sK11(X1),X1,X0)
      | ~ sdtmndtplgtdt0(sK10(X1),X1,X0) ),
    inference(subsumption_resolution,[],[f3596,f127]) ).

fof(f3596,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | sP0(X1)
      | ~ sdtmndtplgtdt0(sK11(X1),X1,X0)
      | ~ sdtmndtplgtdt0(sK10(X1),X1,X0)
      | ~ aElement0(sK10(X1)) ),
    inference(duplicate_literal_removal,[],[f3595]) ).

fof(f3595,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | sP0(X1)
      | ~ sdtmndtplgtdt0(sK11(X1),X1,X0)
      | ~ sdtmndtplgtdt0(sK10(X1),X1,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(sK10(X1)) ),
    inference(resolution,[],[f296,f169]) ).

fof(f3629,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK19(X0,sK10(X0)))
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f3628,f127]) ).

fof(f3628,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK19(X0,sK10(X0)))
      | ~ aElement0(sK10(X0))
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f3597,f203]) ).

fof(f3597,plain,
    ! [X0] :
      ( ~ aElement0(sK19(X0,sK10(X0)))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK19(X0,sK10(X0)))
      | ~ aElement0(sK10(X0))
      | ~ isTerminating0(X0) ),
    inference(duplicate_literal_removal,[],[f3594]) ).

fof(f3594,plain,
    ! [X0] :
      ( ~ aElement0(sK19(X0,sK10(X0)))
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,sK19(X0,sK10(X0)))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | ~ isTerminating0(X0) ),
    inference(resolution,[],[f296,f206]) ).

fof(f296,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | ~ sdtmndtplgtdt0(sK11(X0),X0,X1) ),
    inference(subsumption_resolution,[],[f283,f128]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(sK11(X0),X0,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,X1) ),
    inference(duplicate_literal_removal,[],[f278]) ).

fof(f278,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(sK11(X0),X0,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,X1)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f169,f131]) ).

fof(f3503,plain,
    ! [X0] :
      ( sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | iLess0(sK11(X0),sK9(X0))
      | ~ sP4(X0) ),
    inference(subsumption_resolution,[],[f3502,f126]) ).

fof(f3502,plain,
    ! [X0] :
      ( sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | iLess0(sK11(X0),sK9(X0))
      | ~ aElement0(sK9(X0))
      | ~ sP4(X0) ),
    inference(subsumption_resolution,[],[f3497,f128]) ).

fof(f3497,plain,
    ! [X0] :
      ( sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | iLess0(sK11(X0),sK9(X0))
      | ~ aElement0(sK11(X0))
      | ~ aElement0(sK9(X0))
      | ~ sP4(X0) ),
    inference(resolution,[],[f430,f147]) ).

fof(f3501,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP6(sK11(X0),X0,X1)
      | ~ aReductOfIn0(sK9(X0),X1,X0) ),
    inference(subsumption_resolution,[],[f3496,f126]) ).

fof(f3496,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP6(sK11(X0),X0,X1)
      | ~ aReductOfIn0(sK9(X0),X1,X0)
      | ~ aElement0(sK9(X0)) ),
    inference(resolution,[],[f430,f165]) ).

fof(f3500,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sdtmndtplgtdt0(X1,X0,sK11(X0))
      | ~ sdtmndtplgtdt0(X1,X0,sK9(X0))
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f3499,f126]) ).

fof(f3499,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sdtmndtplgtdt0(X1,X0,sK11(X0))
      | ~ sdtmndtplgtdt0(X1,X0,sK9(X0))
      | ~ aElement0(sK9(X0))
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f3498,f128]) ).

fof(f3498,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sdtmndtplgtdt0(X1,X0,sK11(X0))
      | ~ sdtmndtplgtdt0(X1,X0,sK9(X0))
      | ~ aElement0(sK11(X0))
      | ~ aElement0(sK9(X0))
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f3495]) ).

fof(f3495,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sdtmndtplgtdt0(X1,X0,sK11(X0))
      | ~ sdtmndtplgtdt0(X1,X0,sK9(X0))
      | ~ aElement0(sK11(X0))
      | ~ aElement0(sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f430,f170]) ).

fof(f430,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(sK9(X0),X0,sK11(X0))
      | sK9(X0) = sK11(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f429,f126]) ).

fof(f429,plain,
    ! [X0] :
      ( sK9(X0) = sK11(X0)
      | sdtmndtplgtdt0(sK9(X0),X0,sK11(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK9(X0))
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f405,f128]) ).

fof(f405,plain,
    ! [X0] :
      ( sK9(X0) = sK11(X0)
      | sdtmndtplgtdt0(sK9(X0),X0,sK11(X0))
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK9(X0))
      | sP0(X0) ),
    inference(resolution,[],[f167,f130]) ).

fof(f3437,plain,
    ! [X0] :
      ( sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | iLess0(sK10(X0),sK9(X0))
      | ~ sP4(X0) ),
    inference(subsumption_resolution,[],[f3436,f126]) ).

fof(f3436,plain,
    ! [X0] :
      ( sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | iLess0(sK10(X0),sK9(X0))
      | ~ aElement0(sK9(X0))
      | ~ sP4(X0) ),
    inference(subsumption_resolution,[],[f3431,f127]) ).

fof(f3431,plain,
    ! [X0] :
      ( sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | iLess0(sK10(X0),sK9(X0))
      | ~ aElement0(sK10(X0))
      | ~ aElement0(sK9(X0))
      | ~ sP4(X0) ),
    inference(resolution,[],[f428,f147]) ).

fof(f3435,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP6(sK10(X0),X0,X1)
      | ~ aReductOfIn0(sK9(X0),X1,X0) ),
    inference(subsumption_resolution,[],[f3430,f126]) ).

fof(f3430,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sP6(sK10(X0),X0,X1)
      | ~ aReductOfIn0(sK9(X0),X1,X0)
      | ~ aElement0(sK9(X0)) ),
    inference(resolution,[],[f428,f165]) ).

fof(f3434,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sdtmndtplgtdt0(X1,X0,sK10(X0))
      | ~ sdtmndtplgtdt0(X1,X0,sK9(X0))
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f3433,f126]) ).

fof(f3433,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sdtmndtplgtdt0(X1,X0,sK10(X0))
      | ~ sdtmndtplgtdt0(X1,X0,sK9(X0))
      | ~ aElement0(sK9(X0))
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f3432,f127]) ).

fof(f3432,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sdtmndtplgtdt0(X1,X0,sK10(X0))
      | ~ sdtmndtplgtdt0(X1,X0,sK9(X0))
      | ~ aElement0(sK10(X0))
      | ~ aElement0(sK9(X0))
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f3429]) ).

fof(f3429,plain,
    ! [X0,X1] :
      ( sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0)
      | sdtmndtplgtdt0(X1,X0,sK10(X0))
      | ~ sdtmndtplgtdt0(X1,X0,sK9(X0))
      | ~ aElement0(sK10(X0))
      | ~ aElement0(sK9(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f428,f170]) ).

fof(f428,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(sK9(X0),X0,sK10(X0))
      | sK9(X0) = sK10(X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f427,f126]) ).

fof(f427,plain,
    ! [X0] :
      ( sK9(X0) = sK10(X0)
      | sdtmndtplgtdt0(sK9(X0),X0,sK10(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK9(X0))
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f404,f127]) ).

fof(f404,plain,
    ! [X0] :
      ( sK9(X0) = sK10(X0)
      | sdtmndtplgtdt0(sK9(X0),X0,sK10(X0))
      | ~ aElement0(sK10(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK9(X0))
      | sP0(X0) ),
    inference(resolution,[],[f167,f129]) ).

fof(f2353,plain,
    ! [X0] :
      ( aElement0(sK8(X0,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f2333,f100]) ).

fof(f2333,plain,
    ! [X0] :
      ( aElement0(sK8(X0,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f2328]) ).

fof(f2328,plain,
    ! [X0] :
      ( aElement0(sK8(X0,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR) ),
    inference(resolution,[],[f697,f173]) ).

fof(f2356,plain,
    ! [X0,X1] :
      ( aElement0(sK8(X0,X1))
      | ~ iLess0(X1,xa)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X1,xR,X0) ),
    inference(subsumption_resolution,[],[f2331,f100]) ).

fof(f2331,plain,
    ! [X0,X1] :
      ( aElement0(sK8(X0,X1))
      | ~ iLess0(X1,xa)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f2330]) ).

fof(f2330,plain,
    ! [X0,X1] :
      ( aElement0(sK8(X0,X1))
      | ~ iLess0(X1,xa)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f697,f169]) ).

fof(f2355,plain,
    ! [X0] :
      ( aElement0(sK8(sK19(xR,X0),X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(sK19(xR,X0)) ),
    inference(subsumption_resolution,[],[f2354,f103]) ).

fof(f2354,plain,
    ! [X0] :
      ( aElement0(sK8(sK19(xR,X0),X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(sK19(xR,X0))
      | ~ isTerminating0(xR) ),
    inference(subsumption_resolution,[],[f2332,f100]) ).

fof(f2332,plain,
    ! [X0] :
      ( aElement0(sK8(sK19(xR,X0),X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(sK19(xR,X0))
      | ~ aRewritingSystem0(xR)
      | ~ isTerminating0(xR) ),
    inference(duplicate_literal_removal,[],[f2329]) ).

fof(f2329,plain,
    ! [X0] :
      ( aElement0(sK8(sK19(xR,X0),X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(sK19(xR,X0))
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ isTerminating0(xR) ),
    inference(resolution,[],[f697,f206]) ).

fof(f2343,plain,
    ! [X0] :
      ( aElement0(sK8(xc,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv) ),
    inference(subsumption_resolution,[],[f2340,f115]) ).

fof(f2340,plain,
    ! [X0] :
      ( aElement0(sK8(xc,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(xc)
      | ~ sdtmndtplgtdt0(X0,xR,xv) ),
    inference(duplicate_literal_removal,[],[f2309]) ).

fof(f2309,plain,
    ! [X0] :
      ( aElement0(sK8(xc,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(xc)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv) ),
    inference(resolution,[],[f697,f813]) ).

fof(f697,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X1)
      | aElement0(sK8(X1,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f679,f100]) ).

fof(f679,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | aElement0(sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f674]) ).

fof(f674,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | aElement0(sK8(X1,X0))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR) ),
    inference(resolution,[],[f118,f173]) ).

fof(f2224,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | sdtmndtasgtdt0(X1,xR,xb)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2223,f100]) ).

fof(f2223,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | sdtmndtasgtdt0(X1,xR,xb)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2200,f114]) ).

fof(f2200,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | sdtmndtasgtdt0(X1,xR,xb)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(xb)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f2197]) ).

fof(f2197,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | sdtmndtasgtdt0(X1,xR,xb)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(xb)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f852,f171]) ).

fof(f2210,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xb))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2205,f114]) ).

fof(f2205,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xb))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xb)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f2187]) ).

fof(f2187,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xb))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xb)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f852,f118]) ).

fof(f2209,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xb))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2206,f114]) ).

fof(f2206,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xb))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xb)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f2186]) ).

fof(f2186,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xb))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xb)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f852,f119]) ).

fof(f2208,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xb,xR,sK8(X1,xb))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2207,f114]) ).

fof(f2207,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xb,xR,sK8(X1,xb))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xb)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f2185]) ).

fof(f2185,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xb,xR,sK8(X1,xb))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xb)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f852,f120]) ).

fof(f852,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu) ),
    inference(subsumption_resolution,[],[f851,f100]) ).

fof(f851,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ aRewritingSystem0(xR) ),
    inference(subsumption_resolution,[],[f849,f107]) ).

fof(f849,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ aElement0(xu)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f848]) ).

fof(f848,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xu)
      | ~ aElement0(xu)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f602,f169]) ).

fof(f2184,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | sdtmndtasgtdt0(X1,xR,xc)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2183,f100]) ).

fof(f2183,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | sdtmndtasgtdt0(X1,xR,xc)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2168,f115]) ).

fof(f2168,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | sdtmndtasgtdt0(X1,xR,xc)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(xc)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f2165]) ).

fof(f2165,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | sdtmndtasgtdt0(X1,xR,xc)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(xc)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f813,f171]) ).

fof(f2177,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xc))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2172,f115]) ).

fof(f2172,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xc))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xc)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f2155]) ).

fof(f2155,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xc))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xc)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f813,f118]) ).

fof(f2176,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xc))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2173,f115]) ).

fof(f2173,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xc))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xc)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f2154]) ).

fof(f2154,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xc))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xc)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f813,f119]) ).

fof(f2175,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xc,xR,sK8(X1,xc))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f2174,f115]) ).

fof(f2174,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xc,xR,sK8(X1,xc))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xc)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f2153]) ).

fof(f2153,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xc,xR,sK8(X1,xc))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xc)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f813,f120]) ).

fof(f813,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xc)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv) ),
    inference(subsumption_resolution,[],[f812,f100]) ).

fof(f812,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xc)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ aRewritingSystem0(xR) ),
    inference(subsumption_resolution,[],[f810,f104]) ).

fof(f810,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xc)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ aElement0(xv)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f809]) ).

fof(f809,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xc)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv)
      | ~ aElement0(xv)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f596,f169]) ).

fof(f890,plain,
    ! [X0] :
      ( aElement0(sK16(xR,X0,xv))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f889,f113]) ).

fof(f889,plain,
    ! [X0] :
      ( aElement0(sK16(xR,X0,xv))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f881,f104]) ).

fof(f881,plain,
    ! [X0] :
      ( aElement0(sK16(xR,X0,xv))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(xv)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(resolution,[],[f135,f105]) ).

fof(f686,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | aElement0(sK8(X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f685,f107]) ).

fof(f685,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | aElement0(sK8(X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f668,f114]) ).

fof(f668,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | aElement0(sK8(X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(xb)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(resolution,[],[f118,f109]) ).

fof(f682,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | aElement0(sK8(X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f681,f104]) ).

fof(f681,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | aElement0(sK8(X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f666,f115]) ).

fof(f666,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | aElement0(sK8(X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(xc)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(resolution,[],[f118,f106]) ).

fof(f1399,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(xu,xR,sK16(xR,X0,xu))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f1398,f113]) ).

fof(f1398,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(xu,xR,sK16(xR,X0,xu))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f1389,f107]) ).

fof(f1389,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(xu,xR,sK16(xR,X0,xu))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(xu)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(resolution,[],[f137,f108]) ).

fof(f1397,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(xv,xR,sK16(xR,X0,xv))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f1396,f113]) ).

fof(f1396,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(xv,xR,sK16(xR,X0,xv))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f1388,f104]) ).

fof(f1388,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(xv,xR,sK16(xR,X0,xv))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(xv)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(resolution,[],[f137,f105]) ).

fof(f1395,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(sK21(X0,X1,X2),X1,sK16(X1,X3,sK21(X0,X1,X2)))
      | ~ aReductOfIn0(X3,X2,X1)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ sP2(X1)
      | aReductOfIn0(X0,X2,X1)
      | ~ sP6(X0,X1,X2) ),
    inference(subsumption_resolution,[],[f1387,f161]) ).

fof(f1387,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(sK21(X0,X1,X2),X1,sK16(X1,X3,sK21(X0,X1,X2)))
      | ~ aReductOfIn0(X3,X2,X1)
      | ~ aElement0(sK21(X0,X1,X2))
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ sP2(X1)
      | aReductOfIn0(X0,X2,X1)
      | ~ sP6(X0,X1,X2) ),
    inference(resolution,[],[f137,f162]) ).

fof(f1394,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(sK20(X0,X1),X0,sK16(X0,X2,sK20(X0,X1)))
      | ~ aReductOfIn0(X2,X1,X0)
      | ~ aElement0(sK20(X0,X1))
      | ~ aElement0(X1)
      | ~ sP2(X0)
      | ~ sdtmndtasgtdt0(X3,X0,X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f1393,f157]) ).

fof(f1393,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(sK20(X0,X1),X0,sK16(X0,X2,sK20(X0,X1)))
      | ~ aReductOfIn0(X2,X1,X0)
      | ~ aElement0(sK20(X0,X1))
      | ~ aElement0(X1)
      | ~ sP2(X0)
      | aNormalFormOfIn0(X1,X3,X0)
      | ~ sdtmndtasgtdt0(X3,X0,X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f1392,f154]) ).

fof(f1392,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(sK20(X0,X1),X0,sK16(X0,X2,sK20(X0,X1)))
      | ~ aReductOfIn0(X2,X1,X0)
      | ~ aElement0(sK20(X0,X1))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ sP2(X0)
      | aNormalFormOfIn0(X1,X3,X0)
      | ~ sdtmndtasgtdt0(X3,X0,X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f1386]) ).

fof(f1386,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(sK20(X0,X1),X0,sK16(X0,X2,sK20(X0,X1)))
      | ~ aReductOfIn0(X2,X1,X0)
      | ~ aElement0(sK20(X0,X1))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ sP2(X0)
      | aNormalFormOfIn0(X1,X3,X0)
      | ~ sdtmndtasgtdt0(X3,X0,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X3) ),
    inference(resolution,[],[f137,f158]) ).

fof(f137,plain,
    ! [X0,X6,X7,X5] :
      ( ~ aReductOfIn0(X7,X5,X0)
      | sdtmndtasgtdt0(X7,X0,sK16(X0,X6,X7))
      | ~ aReductOfIn0(X6,X5,X0)
      | ~ aElement0(X7)
      | ~ aElement0(X6)
      | ~ aElement0(X5)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ( ! [X4] :
              ( ~ sdtmndtasgtdt0(sK15(X0),X0,X4)
              | ~ sdtmndtasgtdt0(sK14(X0),X0,X4)
              | ~ aElement0(X4) )
          & aReductOfIn0(sK15(X0),sK13(X0),X0)
          & aReductOfIn0(sK14(X0),sK13(X0),X0)
          & aElement0(sK15(X0))
          & aElement0(sK14(X0))
          & aElement0(sK13(X0)) ) )
      & ( ! [X5,X6,X7] :
            ( ( sdtmndtasgtdt0(X7,X0,sK16(X0,X6,X7))
              & sdtmndtasgtdt0(X6,X0,sK16(X0,X6,X7))
              & aElement0(sK16(X0,X6,X7)) )
            | ~ aReductOfIn0(X7,X5,X0)
            | ~ aReductOfIn0(X6,X5,X0)
            | ~ aElement0(X7)
            | ~ aElement0(X6)
            | ~ aElement0(X5) )
        | ~ sP2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f75,f77,f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( ! [X4] :
              ( ~ sdtmndtasgtdt0(X3,X0,X4)
              | ~ sdtmndtasgtdt0(X2,X0,X4)
              | ~ aElement0(X4) )
          & aReductOfIn0(X3,X1,X0)
          & aReductOfIn0(X2,X1,X0)
          & aElement0(X3)
          & aElement0(X2)
          & aElement0(X1) )
     => ( ! [X4] :
            ( ~ sdtmndtasgtdt0(sK15(X0),X0,X4)
            | ~ sdtmndtasgtdt0(sK14(X0),X0,X4)
            | ~ aElement0(X4) )
        & aReductOfIn0(sK15(X0),sK13(X0),X0)
        & aReductOfIn0(sK14(X0),sK13(X0),X0)
        & aElement0(sK15(X0))
        & aElement0(sK14(X0))
        & aElement0(sK13(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X0,X6,X7] :
      ( ? [X8] :
          ( sdtmndtasgtdt0(X7,X0,X8)
          & sdtmndtasgtdt0(X6,X0,X8)
          & aElement0(X8) )
     => ( sdtmndtasgtdt0(X7,X0,sK16(X0,X6,X7))
        & sdtmndtasgtdt0(X6,X0,sK16(X0,X6,X7))
        & aElement0(sK16(X0,X6,X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ? [X1,X2,X3] :
            ( ! [X4] :
                ( ~ sdtmndtasgtdt0(X3,X0,X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4)
                | ~ aElement0(X4) )
            & aReductOfIn0(X3,X1,X0)
            & aReductOfIn0(X2,X1,X0)
            & aElement0(X3)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X5,X6,X7] :
            ( ? [X8] :
                ( sdtmndtasgtdt0(X7,X0,X8)
                & sdtmndtasgtdt0(X6,X0,X8)
                & aElement0(X8) )
            | ~ aReductOfIn0(X7,X5,X0)
            | ~ aReductOfIn0(X6,X5,X0)
            | ~ aElement0(X7)
            | ~ aElement0(X6)
            | ~ aElement0(X5) )
        | ~ sP2(X0) ) ),
    inference(rectify,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ? [X1,X2,X3] :
            ( ! [X4] :
                ( ~ sdtmndtasgtdt0(X3,X0,X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4)
                | ~ aElement0(X4) )
            & aReductOfIn0(X3,X1,X0)
            & aReductOfIn0(X2,X1,X0)
            & aElement0(X3)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ aReductOfIn0(X3,X1,X0)
            | ~ aReductOfIn0(X2,X1,X0)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) )
        | ~ sP2(X0) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( sP2(X0)
    <=> ! [X1,X2,X3] :
          ( ? [X4] :
              ( sdtmndtasgtdt0(X3,X0,X4)
              & sdtmndtasgtdt0(X2,X0,X4)
              & aElement0(X4) )
          | ~ aReductOfIn0(X3,X1,X0)
          | ~ aReductOfIn0(X2,X1,X0)
          | ~ aElement0(X3)
          | ~ aElement0(X2)
          | ~ aElement0(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1345,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,sK16(xR,X0,xu))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f1344,f113]) ).

fof(f1344,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,sK16(xR,X0,xu))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f1335,f107]) ).

fof(f1335,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,sK16(xR,X0,xu))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(xu)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(resolution,[],[f136,f108]) ).

fof(f1343,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,sK16(xR,X0,xv))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f1342,f113]) ).

fof(f1342,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,sK16(xR,X0,xv))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f1334,f104]) ).

fof(f1334,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,sK16(xR,X0,xv))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(xv)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(resolution,[],[f136,f105]) ).

fof(f1341,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK16(X1,X0,sK21(X2,X1,X3)))
      | ~ aReductOfIn0(X0,X3,X1)
      | ~ aElement0(X0)
      | ~ aElement0(X3)
      | ~ sP2(X1)
      | aReductOfIn0(X2,X3,X1)
      | ~ sP6(X2,X1,X3) ),
    inference(subsumption_resolution,[],[f1333,f161]) ).

fof(f1333,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK16(X1,X0,sK21(X2,X1,X3)))
      | ~ aReductOfIn0(X0,X3,X1)
      | ~ aElement0(sK21(X2,X1,X3))
      | ~ aElement0(X0)
      | ~ aElement0(X3)
      | ~ sP2(X1)
      | aReductOfIn0(X2,X3,X1)
      | ~ sP6(X2,X1,X3) ),
    inference(resolution,[],[f136,f162]) ).

fof(f1340,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK16(X1,X0,sK20(X1,X2)))
      | ~ aReductOfIn0(X0,X2,X1)
      | ~ aElement0(sK20(X1,X2))
      | ~ aElement0(X2)
      | ~ sP2(X1)
      | ~ sdtmndtasgtdt0(X3,X1,X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f1339,f157]) ).

fof(f1339,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK16(X1,X0,sK20(X1,X2)))
      | ~ aReductOfIn0(X0,X2,X1)
      | ~ aElement0(sK20(X1,X2))
      | ~ aElement0(X2)
      | ~ sP2(X1)
      | aNormalFormOfIn0(X2,X3,X1)
      | ~ sdtmndtasgtdt0(X3,X1,X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f1338,f154]) ).

fof(f1338,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK16(X1,X0,sK20(X1,X2)))
      | ~ aReductOfIn0(X0,X2,X1)
      | ~ aElement0(sK20(X1,X2))
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP2(X1)
      | aNormalFormOfIn0(X2,X3,X1)
      | ~ sdtmndtasgtdt0(X3,X1,X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f1332]) ).

fof(f1332,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK16(X1,X0,sK20(X1,X2)))
      | ~ aReductOfIn0(X0,X2,X1)
      | ~ aElement0(sK20(X1,X2))
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP2(X1)
      | aNormalFormOfIn0(X2,X3,X1)
      | ~ sdtmndtasgtdt0(X3,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3) ),
    inference(resolution,[],[f136,f158]) ).

fof(f136,plain,
    ! [X0,X6,X7,X5] :
      ( ~ aReductOfIn0(X7,X5,X0)
      | sdtmndtasgtdt0(X6,X0,sK16(X0,X6,X7))
      | ~ aReductOfIn0(X6,X5,X0)
      | ~ aElement0(X7)
      | ~ aElement0(X6)
      | ~ aElement0(X5)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f1232,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X3,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ aElement0(X3)
      | ~ sP0(X1)
      | ~ sdtmndtplgtdt0(X3,X1,X0)
      | ~ aRewritingSystem0(X1) ),
    inference(duplicate_literal_removal,[],[f1231]) ).

fof(f1231,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X2,X0))
      | ~ sdtmndtasgtdt0(X3,X1,X2)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ aElement0(X3)
      | ~ sP0(X1)
      | ~ sdtmndtplgtdt0(X3,X1,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3) ),
    inference(resolution,[],[f125,f169]) ).

fof(f1239,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(sK19(X0,X1),X0,sK12(X0,X2,sK19(X0,X1)))
      | ~ sdtmndtasgtdt0(X1,X0,X2)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f1233,f203]) ).

fof(f1233,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(sK19(X0,X1),X0,sK12(X0,X2,sK19(X0,X1)))
      | ~ sdtmndtasgtdt0(X1,X0,X2)
      | ~ aElement0(sK19(X0,X1))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(duplicate_literal_removal,[],[f1230]) ).

fof(f1230,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(sK19(X0,X1),X0,sK12(X0,X2,sK19(X0,X1)))
      | ~ sdtmndtasgtdt0(X1,X0,X2)
      | ~ aElement0(sK19(X0,X1))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | ~ isTerminating0(X0) ),
    inference(resolution,[],[f125,f206]) ).

fof(f125,plain,
    ! [X0,X6,X7,X5] :
      ( ~ sdtmndtasgtdt0(X5,X0,X7)
      | sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
      | ~ sdtmndtasgtdt0(X5,X0,X6)
      | ~ aElement0(X7)
      | ~ aElement0(X6)
      | ~ aElement0(X5)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( ! [X4] :
              ( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
              | ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
              | ~ aElement0(X4) )
          & sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
          & sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
          & aElement0(sK11(X0))
          & aElement0(sK10(X0))
          & aElement0(sK9(X0)) ) )
      & ( ! [X5,X6,X7] :
            ( ( sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
              & sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
              & aElement0(sK12(X0,X6,X7)) )
            | ~ sdtmndtasgtdt0(X5,X0,X7)
            | ~ sdtmndtasgtdt0(X5,X0,X6)
            | ~ aElement0(X7)
            | ~ aElement0(X6)
            | ~ aElement0(X5) )
        | ~ sP0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f69,f71,f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( ! [X4] :
              ( ~ sdtmndtasgtdt0(X3,X0,X4)
              | ~ sdtmndtasgtdt0(X2,X0,X4)
              | ~ aElement0(X4) )
          & sdtmndtasgtdt0(X1,X0,X3)
          & sdtmndtasgtdt0(X1,X0,X2)
          & aElement0(X3)
          & aElement0(X2)
          & aElement0(X1) )
     => ( ! [X4] :
            ( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
            | ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
            | ~ aElement0(X4) )
        & sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
        & sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
        & aElement0(sK11(X0))
        & aElement0(sK10(X0))
        & aElement0(sK9(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0,X6,X7] :
      ( ? [X8] :
          ( sdtmndtasgtdt0(X7,X0,X8)
          & sdtmndtasgtdt0(X6,X0,X8)
          & aElement0(X8) )
     => ( sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
        & sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
        & aElement0(sK12(X0,X6,X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( ! [X4] :
                ( ~ sdtmndtasgtdt0(X3,X0,X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4)
                | ~ aElement0(X4) )
            & sdtmndtasgtdt0(X1,X0,X3)
            & sdtmndtasgtdt0(X1,X0,X2)
            & aElement0(X3)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X5,X6,X7] :
            ( ? [X8] :
                ( sdtmndtasgtdt0(X7,X0,X8)
                & sdtmndtasgtdt0(X6,X0,X8)
                & aElement0(X8) )
            | ~ sdtmndtasgtdt0(X5,X0,X7)
            | ~ sdtmndtasgtdt0(X5,X0,X6)
            | ~ aElement0(X7)
            | ~ aElement0(X6)
            | ~ aElement0(X5) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( ! [X4] :
                ( ~ sdtmndtasgtdt0(X3,X0,X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4)
                | ~ aElement0(X4) )
            & sdtmndtasgtdt0(X1,X0,X3)
            & sdtmndtasgtdt0(X1,X0,X2)
            & aElement0(X3)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ sdtmndtasgtdt0(X1,X0,X3)
            | ~ sdtmndtasgtdt0(X1,X0,X2)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( sP0(X0)
    <=> ! [X1,X2,X3] :
          ( ? [X4] :
              ( sdtmndtasgtdt0(X3,X0,X4)
              & sdtmndtasgtdt0(X2,X0,X4)
              & aElement0(X4) )
          | ~ sdtmndtasgtdt0(X1,X0,X3)
          | ~ sdtmndtasgtdt0(X1,X0,X2)
          | ~ aElement0(X3)
          | ~ aElement0(X2)
          | ~ aElement0(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1183,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X0,X2))
      | ~ sdtmndtasgtdt0(X3,X1,X0)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ aElement0(X3)
      | ~ sP0(X1)
      | ~ sdtmndtplgtdt0(X3,X1,X2)
      | ~ aRewritingSystem0(X1) ),
    inference(duplicate_literal_removal,[],[f1182]) ).

fof(f1182,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X0,X2))
      | ~ sdtmndtasgtdt0(X3,X1,X0)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ aElement0(X3)
      | ~ sP0(X1)
      | ~ sdtmndtplgtdt0(X3,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3) ),
    inference(resolution,[],[f124,f169]) ).

fof(f1190,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X0,sK19(X1,X2)))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | ~ isTerminating0(X1) ),
    inference(subsumption_resolution,[],[f1184,f203]) ).

fof(f1184,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X0,sK19(X1,X2)))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(sK19(X1,X2))
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | ~ isTerminating0(X1) ),
    inference(duplicate_literal_removal,[],[f1181]) ).

fof(f1181,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK12(X1,X0,sK19(X1,X2)))
      | ~ sdtmndtasgtdt0(X2,X1,X0)
      | ~ aElement0(sK19(X1,X2))
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ sP0(X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ isTerminating0(X1) ),
    inference(resolution,[],[f124,f206]) ).

fof(f124,plain,
    ! [X0,X6,X7,X5] :
      ( ~ sdtmndtasgtdt0(X5,X0,X7)
      | sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
      | ~ sdtmndtasgtdt0(X5,X0,X6)
      | ~ aElement0(X7)
      | ~ aElement0(X6)
      | ~ aElement0(X5)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f1058,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X2,X1))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X1) ),
    inference(subsumption_resolution,[],[f1031,f100]) ).

fof(f1031,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X2,X1))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f1030]) ).

fof(f1030,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X2,X1))
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f120,f169]) ).

fof(f1057,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(sK19(xR,X0),xR,sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f1056,f103]) ).

fof(f1056,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(sK19(xR,X0),xR,sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ isTerminating0(xR) ),
    inference(subsumption_resolution,[],[f1032,f100]) ).

fof(f1032,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(sK19(xR,X0),xR,sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ isTerminating0(xR) ),
    inference(duplicate_literal_removal,[],[f1029]) ).

fof(f1029,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(sK19(xR,X0),xR,sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ isTerminating0(xR) ),
    inference(resolution,[],[f120,f206]) ).

fof(f1046,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f1045,f104]) ).

fof(f1045,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f1023,f110]) ).

fof(f1023,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(resolution,[],[f120,f112]) ).

fof(f1044,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f1043,f104]) ).

fof(f1043,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f1022,f115]) ).

fof(f1022,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(xc)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(resolution,[],[f120,f106]) ).

fof(f1042,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f1041,f107]) ).

fof(f1041,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f1021,f110]) ).

fof(f1021,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(resolution,[],[f120,f111]) ).

fof(f1038,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xv) ),
    inference(subsumption_resolution,[],[f1035,f110]) ).

fof(f1035,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xv) ),
    inference(duplicate_literal_removal,[],[f1019]) ).

fof(f1019,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f120,f599]) ).

fof(f1037,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xu) ),
    inference(subsumption_resolution,[],[f1036,f110]) ).

fof(f1036,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xu) ),
    inference(duplicate_literal_removal,[],[f1018]) ).

fof(f1018,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(xw,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f120,f605]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X2,xR,sK8(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X2,xR,sK8(X1,X2))
        & sdtmndtasgtdt0(X1,xR,sK8(X1,X2))
        & aElement0(sK8(X1,X2)) )
      | ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f32,f65]) ).

fof(f65,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & aElement0(X3) )
     => ( sdtmndtasgtdt0(X2,xR,sK8(X1,X2))
        & sdtmndtasgtdt0(X1,xR,sK8(X1,X2))
        & aElement0(sK8(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & aElement0(X3) )
      | ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( sdtmndtasgtdt0(X2,xR,X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & aElement0(X3) )
      | ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X0,xR,X2)
        & sdtmndtasgtdt0(X0,xR,X1)
        & aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => ( iLess0(X0,xa)
       => ? [X3] :
            ( sdtmndtasgtdt0(X2,xR,X3)
            & sdtmndtasgtdt0(X1,xR,X3)
            & aElement0(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__715) ).

fof(f977,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X2) ),
    inference(subsumption_resolution,[],[f956,f100]) ).

fof(f956,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X2)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f955]) ).

fof(f955,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f119,f169]) ).

fof(f976,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f975,f103]) ).

fof(f975,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ isTerminating0(xR) ),
    inference(subsumption_resolution,[],[f957,f100]) ).

fof(f957,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ isTerminating0(xR) ),
    inference(duplicate_literal_removal,[],[f954]) ).

fof(f954,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ isTerminating0(xR) ),
    inference(resolution,[],[f119,f206]) ).

fof(f971,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f970,f104]) ).

fof(f970,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f948,f110]) ).

fof(f948,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(resolution,[],[f119,f112]) ).

fof(f969,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f968,f104]) ).

fof(f968,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f947,f115]) ).

fof(f947,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(xc)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(resolution,[],[f119,f106]) ).

fof(f967,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f966,f107]) ).

fof(f966,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f946,f110]) ).

fof(f946,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(resolution,[],[f119,f111]) ).

fof(f963,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xv) ),
    inference(subsumption_resolution,[],[f960,f110]) ).

fof(f960,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xv) ),
    inference(duplicate_literal_removal,[],[f944]) ).

fof(f944,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f119,f599]) ).

fof(f962,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xu) ),
    inference(subsumption_resolution,[],[f961,f110]) ).

fof(f961,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xu) ),
    inference(duplicate_literal_removal,[],[f943]) ).

fof(f943,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f119,f605]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ iLess0(X0,xa)
      | sdtmndtasgtdt0(X1,xR,sK8(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f892,plain,
    ! [X0] :
      ( aElement0(sK16(xR,X0,xu))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f891,f113]) ).

fof(f891,plain,
    ! [X0] :
      ( aElement0(sK16(xR,X0,xu))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f882,f107]) ).

fof(f882,plain,
    ! [X0] :
      ( aElement0(sK16(xR,X0,xu))
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(xu)
      | ~ aElement0(X0)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(resolution,[],[f135,f108]) ).

fof(f888,plain,
    ! [X2,X3,X0,X1] :
      ( aElement0(sK16(X0,X1,sK21(X2,X0,X3)))
      | ~ aReductOfIn0(X1,X3,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X3)
      | ~ sP2(X0)
      | aReductOfIn0(X2,X3,X0)
      | ~ sP6(X2,X0,X3) ),
    inference(subsumption_resolution,[],[f880,f161]) ).

fof(f880,plain,
    ! [X2,X3,X0,X1] :
      ( aElement0(sK16(X0,X1,sK21(X2,X0,X3)))
      | ~ aReductOfIn0(X1,X3,X0)
      | ~ aElement0(sK21(X2,X0,X3))
      | ~ aElement0(X1)
      | ~ aElement0(X3)
      | ~ sP2(X0)
      | aReductOfIn0(X2,X3,X0)
      | ~ sP6(X2,X0,X3) ),
    inference(resolution,[],[f135,f162]) ).

fof(f887,plain,
    ! [X2,X3,X0,X1] :
      ( aElement0(sK16(X0,X1,sK20(X0,X2)))
      | ~ aReductOfIn0(X1,X2,X0)
      | ~ aElement0(sK20(X0,X2))
      | ~ aElement0(X2)
      | ~ sP2(X0)
      | ~ sdtmndtasgtdt0(X3,X0,X2)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f886,f157]) ).

fof(f886,plain,
    ! [X2,X3,X0,X1] :
      ( aElement0(sK16(X0,X1,sK20(X0,X2)))
      | ~ aReductOfIn0(X1,X2,X0)
      | ~ aElement0(sK20(X0,X2))
      | ~ aElement0(X2)
      | ~ sP2(X0)
      | aNormalFormOfIn0(X2,X3,X0)
      | ~ sdtmndtasgtdt0(X3,X0,X2)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X3) ),
    inference(subsumption_resolution,[],[f885,f154]) ).

fof(f885,plain,
    ! [X2,X3,X0,X1] :
      ( aElement0(sK16(X0,X1,sK20(X0,X2)))
      | ~ aReductOfIn0(X1,X2,X0)
      | ~ aElement0(sK20(X0,X2))
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ sP2(X0)
      | aNormalFormOfIn0(X2,X3,X0)
      | ~ sdtmndtasgtdt0(X3,X0,X2)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X3) ),
    inference(duplicate_literal_removal,[],[f879]) ).

fof(f879,plain,
    ! [X2,X3,X0,X1] :
      ( aElement0(sK16(X0,X1,sK20(X0,X2)))
      | ~ aReductOfIn0(X1,X2,X0)
      | ~ aElement0(sK20(X0,X2))
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ sP2(X0)
      | aNormalFormOfIn0(X2,X3,X0)
      | ~ sdtmndtasgtdt0(X3,X0,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X3) ),
    inference(resolution,[],[f135,f158]) ).

fof(f135,plain,
    ! [X0,X6,X7,X5] :
      ( ~ aReductOfIn0(X7,X5,X0)
      | aElement0(sK16(X0,X6,X7))
      | ~ aReductOfIn0(X6,X5,X0)
      | ~ aElement0(X7)
      | ~ aElement0(X6)
      | ~ aElement0(X5)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f878,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | xw = X0
      | sdtmndtplgtdt0(X0,xR,xw) ),
    inference(subsumption_resolution,[],[f877,f100]) ).

fof(f877,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | xw = X0
      | sdtmndtplgtdt0(X0,xR,xw)
      | ~ aRewritingSystem0(xR) ),
    inference(subsumption_resolution,[],[f863,f110]) ).

fof(f863,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | xw = X0
      | sdtmndtplgtdt0(X0,xR,xw)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f862]) ).

fof(f862,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | xw = X0
      | sdtmndtplgtdt0(X0,xR,xw)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f605,f167]) ).

fof(f876,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,xw)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f875,f100]) ).

fof(f875,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,xw)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f864,f110]) ).

fof(f864,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,xw)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f861]) ).

fof(f861,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,xw)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f605,f171]) ).

fof(f874,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | aElement0(sK12(xR,X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f865,f110]) ).

fof(f865,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | aElement0(sK12(xR,X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ sP0(xR) ),
    inference(duplicate_literal_removal,[],[f860]) ).

fof(f860,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | aElement0(sK12(xR,X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sP0(xR) ),
    inference(resolution,[],[f605,f123]) ).

fof(f873,plain,
    ( ~ sdtmndtasgtdt0(sK15(xR),xR,xu)
    | sP2(xR)
    | ~ sdtmndtasgtdt0(sK14(xR),xR,xw) ),
    inference(subsumption_resolution,[],[f872,f140]) ).

fof(f872,plain,
    ( ~ sdtmndtasgtdt0(sK15(xR),xR,xu)
    | ~ aElement0(sK15(xR))
    | sP2(xR)
    | ~ sdtmndtasgtdt0(sK14(xR),xR,xw) ),
    inference(subsumption_resolution,[],[f859,f110]) ).

fof(f859,plain,
    ( ~ sdtmndtasgtdt0(sK15(xR),xR,xu)
    | ~ aElement0(sK15(xR))
    | sP2(xR)
    | ~ sdtmndtasgtdt0(sK14(xR),xR,xw)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f605,f143]) ).

fof(f871,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xu)
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xw) ),
    inference(subsumption_resolution,[],[f870,f128]) ).

fof(f870,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xu)
    | ~ aElement0(sK11(xR))
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xw) ),
    inference(subsumption_resolution,[],[f858,f110]) ).

fof(f858,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xu)
    | ~ aElement0(sK11(xR))
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xw)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f605,f131]) ).

fof(f868,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f867,f110]) ).

fof(f867,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f853]) ).

fof(f853,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f605,f118]) ).

fof(f605,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xw)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f604,f100]) ).

fof(f604,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xw)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f603,f107]) ).

fof(f603,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xw)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(xu)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f582,f110]) ).

fof(f582,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xw)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(xw)
      | ~ aElement0(xu)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f171,f111]) ).

fof(f602,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xu)
      | sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f601,f100]) ).

fof(f601,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xb)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f600,f107]) ).

fof(f600,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xb)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(xu)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f581,f114]) ).

fof(f581,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xb)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(xb)
      | ~ aElement0(xu)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f171,f109]) ).

fof(f839,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | xw = X0
      | sdtmndtplgtdt0(X0,xR,xw) ),
    inference(subsumption_resolution,[],[f838,f100]) ).

fof(f838,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | xw = X0
      | sdtmndtplgtdt0(X0,xR,xw)
      | ~ aRewritingSystem0(xR) ),
    inference(subsumption_resolution,[],[f824,f110]) ).

fof(f824,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | xw = X0
      | sdtmndtplgtdt0(X0,xR,xw)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f823]) ).

fof(f823,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | xw = X0
      | sdtmndtplgtdt0(X0,xR,xw)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f599,f167]) ).

fof(f837,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,xw)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f836,f100]) ).

fof(f836,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,xw)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f825,f110]) ).

fof(f825,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,xw)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f822]) ).

fof(f822,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,xw)
      | ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f599,f171]) ).

fof(f835,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | aElement0(sK12(xR,X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f826,f110]) ).

fof(f826,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | aElement0(sK12(xR,X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ sP0(xR) ),
    inference(duplicate_literal_removal,[],[f821]) ).

fof(f821,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | aElement0(sK12(xR,X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sP0(xR) ),
    inference(resolution,[],[f599,f123]) ).

fof(f834,plain,
    ( ~ sdtmndtasgtdt0(sK15(xR),xR,xv)
    | sP2(xR)
    | ~ sdtmndtasgtdt0(sK14(xR),xR,xw) ),
    inference(subsumption_resolution,[],[f833,f140]) ).

fof(f833,plain,
    ( ~ sdtmndtasgtdt0(sK15(xR),xR,xv)
    | ~ aElement0(sK15(xR))
    | sP2(xR)
    | ~ sdtmndtasgtdt0(sK14(xR),xR,xw) ),
    inference(subsumption_resolution,[],[f820,f110]) ).

fof(f820,plain,
    ( ~ sdtmndtasgtdt0(sK15(xR),xR,xv)
    | ~ aElement0(sK15(xR))
    | sP2(xR)
    | ~ sdtmndtasgtdt0(sK14(xR),xR,xw)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f599,f143]) ).

fof(f832,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xv)
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xw) ),
    inference(subsumption_resolution,[],[f831,f128]) ).

fof(f831,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xv)
    | ~ aElement0(sK11(xR))
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xw) ),
    inference(subsumption_resolution,[],[f819,f110]) ).

fof(f819,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xv)
    | ~ aElement0(sK11(xR))
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xw)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f599,f131]) ).

fof(f829,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f828,f110]) ).

fof(f828,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f814]) ).

fof(f814,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,xw))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(xw)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f599,f118]) ).

fof(f599,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xw)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f598,f100]) ).

fof(f598,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xw)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f597,f104]) ).

fof(f597,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xw)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(xv)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f580,f110]) ).

fof(f580,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xw)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(xw)
      | ~ aElement0(xv)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f171,f112]) ).

fof(f596,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xv)
      | sdtmndtasgtdt0(X0,xR,xc)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f595,f100]) ).

fof(f595,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xc)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f594,f104]) ).

fof(f594,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xc)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(xv)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f579,f115]) ).

fof(f579,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xc)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(xc)
      | ~ aElement0(xv)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f171,f106]) ).

fof(f792,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sP6(xc,xR,X1)
      | ~ aReductOfIn0(X0,X1,xR) ),
    inference(duplicate_literal_removal,[],[f786]) ).

fof(f786,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sP6(xc,xR,X1)
      | ~ aReductOfIn0(X0,X1,xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f537,f165]) ).

fof(f795,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sdtmndtplgtdt0(X1,xR,xc)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f794,f100]) ).

fof(f794,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sdtmndtplgtdt0(X1,xR,xc)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f793,f115]) ).

fof(f793,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sdtmndtplgtdt0(X1,xR,xc)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aElement0(xc)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f785]) ).

fof(f785,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sdtmndtplgtdt0(X1,xR,xc)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aElement0(xc)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f537,f170]) ).

fof(f537,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f536,f100]) ).

fof(f536,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f535,f113]) ).

fof(f535,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(xa)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f521,f115]) ).

fof(f521,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(xc)
      | ~ aElement0(xa)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f170,f117]) ).

fof(f764,plain,
    ! [X2,X3,X0,X1] :
      ( aElement0(sK12(X0,X1,X2))
      | ~ sdtmndtasgtdt0(X3,X0,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X3)
      | ~ sP0(X0)
      | ~ sdtmndtplgtdt0(X3,X0,X2)
      | ~ aRewritingSystem0(X0) ),
    inference(duplicate_literal_removal,[],[f763]) ).

fof(f763,plain,
    ! [X2,X3,X0,X1] :
      ( aElement0(sK12(X0,X1,X2))
      | ~ sdtmndtasgtdt0(X3,X0,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X3)
      | ~ sP0(X0)
      | ~ sdtmndtplgtdt0(X3,X0,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X3) ),
    inference(resolution,[],[f123,f169]) ).

fof(f780,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK12(X0,X1,sK19(X0,X2)))
      | ~ sdtmndtasgtdt0(X2,X0,X1)
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f765,f203]) ).

fof(f765,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK12(X0,X1,sK19(X0,X2)))
      | ~ sdtmndtasgtdt0(X2,X0,X1)
      | ~ aElement0(sK19(X0,X2))
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(duplicate_literal_removal,[],[f762]) ).

fof(f762,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK12(X0,X1,sK19(X0,X2)))
      | ~ sdtmndtasgtdt0(X2,X0,X1)
      | ~ aElement0(sK19(X0,X2))
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ sP0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X2)
      | ~ isTerminating0(X0) ),
    inference(resolution,[],[f123,f206]) ).

fof(f775,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f774,f107]) ).

fof(f774,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xu)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f756,f110]) ).

fof(f756,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aElement0(xu)
      | ~ sP0(xR) ),
    inference(resolution,[],[f123,f111]) ).

fof(f773,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f772,f107]) ).

fof(f772,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xu)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f755,f114]) ).

fof(f755,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xb))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(xb)
      | ~ aElement0(X0)
      | ~ aElement0(xu)
      | ~ sP0(xR) ),
    inference(resolution,[],[f123,f109]) ).

fof(f771,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f770,f104]) ).

fof(f770,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xv)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f754,f110]) ).

fof(f754,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aElement0(xv)
      | ~ sP0(xR) ),
    inference(resolution,[],[f123,f112]) ).

fof(f769,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f768,f104]) ).

fof(f768,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xv)
      | ~ sP0(xR) ),
    inference(subsumption_resolution,[],[f753,f115]) ).

fof(f753,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xc))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(xc)
      | ~ aElement0(X0)
      | ~ aElement0(xv)
      | ~ sP0(xR) ),
    inference(resolution,[],[f123,f106]) ).

fof(f123,plain,
    ! [X0,X6,X7,X5] :
      ( ~ sdtmndtasgtdt0(X5,X0,X7)
      | aElement0(sK12(X0,X6,X7))
      | ~ sdtmndtasgtdt0(X5,X0,X6)
      | ~ aElement0(X7)
      | ~ aElement0(X6)
      | ~ aElement0(X5)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f734,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sP6(xb,xR,X1)
      | ~ aReductOfIn0(X0,X1,xR) ),
    inference(duplicate_literal_removal,[],[f726]) ).

fof(f726,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sP6(xb,xR,X1)
      | ~ aReductOfIn0(X0,X1,xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f534,f165]) ).

fof(f737,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sdtmndtplgtdt0(X1,xR,xb)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f736,f100]) ).

fof(f736,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sdtmndtplgtdt0(X1,xR,xb)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f735,f114]) ).

fof(f735,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sdtmndtplgtdt0(X1,xR,xb)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aElement0(xb)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(duplicate_literal_removal,[],[f725]) ).

fof(f725,plain,
    ! [X0,X1] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | sdtmndtplgtdt0(X1,xR,xb)
      | ~ sdtmndtplgtdt0(X1,xR,X0)
      | ~ aElement0(xb)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f534,f170]) ).

fof(f534,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f533,f100]) ).

fof(f533,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f532,f113]) ).

fof(f532,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(xa)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f520,f114]) ).

fof(f520,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(xb)
      | ~ aElement0(xa)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f170,f116]) ).

fof(f700,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | aElement0(sK8(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X2) ),
    inference(subsumption_resolution,[],[f677,f100]) ).

fof(f677,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | aElement0(sK8(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X2)
      | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f676]) ).

fof(f676,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(X0,xa)
      | aElement0(sK8(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f118,f169]) ).

fof(f699,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | aElement0(sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f698,f103]) ).

fof(f698,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | aElement0(sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ isTerminating0(xR) ),
    inference(subsumption_resolution,[],[f678,f100]) ).

fof(f678,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | aElement0(sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ isTerminating0(xR) ),
    inference(duplicate_literal_removal,[],[f675]) ).

fof(f675,plain,
    ! [X0,X1] :
      ( ~ iLess0(X0,xa)
      | aElement0(sK8(X1,sK19(xR,X0)))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(sK19(xR,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ isTerminating0(xR) ),
    inference(resolution,[],[f118,f206]) ).

fof(f696,plain,
    ! [X0] :
      ( ~ iLess0(sK9(xR),xa)
      | aElement0(sK8(X0,sK11(xR)))
      | ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
      | ~ aElement0(X0)
      | sP0(xR) ),
    inference(subsumption_resolution,[],[f695,f126]) ).

fof(f695,plain,
    ! [X0] :
      ( ~ iLess0(sK9(xR),xa)
      | aElement0(sK8(X0,sK11(xR)))
      | ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(sK9(xR))
      | sP0(xR) ),
    inference(subsumption_resolution,[],[f673,f128]) ).

fof(f673,plain,
    ! [X0] :
      ( ~ iLess0(sK9(xR),xa)
      | aElement0(sK8(X0,sK11(xR)))
      | ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
      | ~ aElement0(sK11(xR))
      | ~ aElement0(X0)
      | ~ aElement0(sK9(xR))
      | sP0(xR) ),
    inference(resolution,[],[f118,f130]) ).

fof(f694,plain,
    ! [X0] :
      ( ~ iLess0(sK9(xR),xa)
      | aElement0(sK8(X0,sK10(xR)))
      | ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
      | ~ aElement0(X0)
      | sP0(xR) ),
    inference(subsumption_resolution,[],[f693,f126]) ).

fof(f693,plain,
    ! [X0] :
      ( ~ iLess0(sK9(xR),xa)
      | aElement0(sK8(X0,sK10(xR)))
      | ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(sK9(xR))
      | sP0(xR) ),
    inference(subsumption_resolution,[],[f672,f127]) ).

fof(f672,plain,
    ! [X0] :
      ( ~ iLess0(sK9(xR),xa)
      | aElement0(sK8(X0,sK10(xR)))
      | ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
      | ~ aElement0(sK10(xR))
      | ~ aElement0(X0)
      | ~ aElement0(sK9(xR))
      | sP0(xR) ),
    inference(resolution,[],[f118,f129]) ).

fof(f688,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | aElement0(sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f687,f107]) ).

fof(f687,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | aElement0(sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f669,f110]) ).

fof(f669,plain,
    ! [X0] :
      ( ~ iLess0(xu,xa)
      | aElement0(sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aElement0(xu) ),
    inference(resolution,[],[f118,f111]) ).

fof(f684,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | aElement0(sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f683,f104]) ).

fof(f683,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | aElement0(sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f667,f110]) ).

fof(f667,plain,
    ! [X0] :
      ( ~ iLess0(xv,xa)
      | aElement0(sK8(X0,xw))
      | ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ aElement0(xw)
      | ~ aElement0(X0)
      | ~ aElement0(xv) ),
    inference(resolution,[],[f118,f112]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ iLess0(X0,xa)
      | aElement0(sK8(X1,X2))
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f423,plain,
    ( xu = xw
    | sdtmndtplgtdt0(xu,xR,xw) ),
    inference(subsumption_resolution,[],[f422,f107]) ).

fof(f422,plain,
    ( xu = xw
    | sdtmndtplgtdt0(xu,xR,xw)
    | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f421,f100]) ).

fof(f421,plain,
    ( xu = xw
    | sdtmndtplgtdt0(xu,xR,xw)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f402,f110]) ).

fof(f402,plain,
    ( xu = xw
    | sdtmndtplgtdt0(xu,xR,xw)
    | ~ aElement0(xw)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu) ),
    inference(resolution,[],[f167,f111]) ).

fof(f420,plain,
    ( xb = xu
    | sdtmndtplgtdt0(xu,xR,xb) ),
    inference(subsumption_resolution,[],[f419,f107]) ).

fof(f419,plain,
    ( xb = xu
    | sdtmndtplgtdt0(xu,xR,xb)
    | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f418,f100]) ).

fof(f418,plain,
    ( xb = xu
    | sdtmndtplgtdt0(xu,xR,xb)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu) ),
    inference(subsumption_resolution,[],[f401,f114]) ).

fof(f401,plain,
    ( xb = xu
    | sdtmndtplgtdt0(xu,xR,xb)
    | ~ aElement0(xb)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu) ),
    inference(resolution,[],[f167,f109]) ).

fof(f590,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,X2)
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(X2)
      | ~ aElement0(X3)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X3,X1,X2) ),
    inference(duplicate_literal_removal,[],[f589]) ).

fof(f589,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,X2)
      | ~ sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(X2)
      | ~ aElement0(X3)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X3,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3) ),
    inference(resolution,[],[f171,f169]) ).

fof(f614,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK19(X1,X2))
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ isTerminating0(X1) ),
    inference(subsumption_resolution,[],[f591,f203]) ).

fof(f591,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK19(X1,X2))
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(sK19(X1,X2))
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ isTerminating0(X1) ),
    inference(duplicate_literal_removal,[],[f588]) ).

fof(f588,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK19(X1,X2))
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(sK19(X1,X2))
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ isTerminating0(X1) ),
    inference(resolution,[],[f171,f206]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtasgtdt0(X2,X1,X3)
      | sdtmndtasgtdt0(X0,X1,X3)
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3] :
      ( sdtmndtasgtdt0(X0,X1,X3)
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3] :
      ( sdtmndtasgtdt0(X0,X1,X3)
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aElement0(X3)
        & aElement0(X2)
        & aRewritingSystem0(X1)
        & aElement0(X0) )
     => ( ( sdtmndtasgtdt0(X2,X1,X3)
          & sdtmndtasgtdt0(X0,X1,X2) )
       => sdtmndtasgtdt0(X0,X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRTrans) ).

fof(f417,plain,
    ( xv = xw
    | sdtmndtplgtdt0(xv,xR,xw) ),
    inference(subsumption_resolution,[],[f416,f104]) ).

fof(f416,plain,
    ( xv = xw
    | sdtmndtplgtdt0(xv,xR,xw)
    | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f415,f100]) ).

fof(f415,plain,
    ( xv = xw
    | sdtmndtplgtdt0(xv,xR,xw)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f400,f110]) ).

fof(f400,plain,
    ( xv = xw
    | sdtmndtplgtdt0(xv,xR,xw)
    | ~ aElement0(xw)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv) ),
    inference(resolution,[],[f167,f112]) ).

fof(f414,plain,
    ( xc = xv
    | sdtmndtplgtdt0(xv,xR,xc) ),
    inference(subsumption_resolution,[],[f413,f104]) ).

fof(f413,plain,
    ( xc = xv
    | sdtmndtplgtdt0(xv,xR,xc)
    | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f412,f100]) ).

fof(f412,plain,
    ( xc = xv
    | sdtmndtplgtdt0(xv,xR,xc)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv) ),
    inference(subsumption_resolution,[],[f399,f115]) ).

fof(f399,plain,
    ( xc = xv
    | sdtmndtplgtdt0(xv,xR,xc)
    | ~ aElement0(xc)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv) ),
    inference(resolution,[],[f167,f106]) ).

fof(f540,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X0,X1,sK21(X2,X1,X3))
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | aReductOfIn0(X2,X3,X1)
      | ~ sP6(X2,X1,X3) ),
    inference(subsumption_resolution,[],[f523,f161]) ).

fof(f523,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X0,X1,sK21(X2,X1,X3))
      | ~ aElement0(X2)
      | ~ aElement0(sK21(X2,X1,X3))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | aReductOfIn0(X2,X3,X1)
      | ~ sP6(X2,X1,X3) ),
    inference(resolution,[],[f170,f163]) ).

fof(f531,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X0,X1,X3)
      | ~ aElement0(X3)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(X2,X3,X1) ),
    inference(subsumption_resolution,[],[f524,f154]) ).

fof(f524,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X0,X1,X3)
      | ~ aElement0(X2)
      | ~ aElement0(X3)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(X2,X3,X1) ),
    inference(duplicate_literal_removal,[],[f519]) ).

fof(f519,plain,
    ! [X2,X3,X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X0,X1,X3)
      | ~ aElement0(X2)
      | ~ aElement0(X3)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X3)
      | ~ aReductOfIn0(X2,X3,X1) ),
    inference(resolution,[],[f170,f355]) ).

fof(f530,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X1,xR) ),
    inference(subsumption_resolution,[],[f529,f100]) ).

fof(f529,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X1,xR) ),
    inference(subsumption_resolution,[],[f525,f115]) ).

fof(f525,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aElement0(xc)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X1,xR) ),
    inference(duplicate_literal_removal,[],[f518]) ).

fof(f518,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aElement0(xc)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aReductOfIn0(xa,X1,xR) ),
    inference(resolution,[],[f170,f359]) ).

fof(f528,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X1,xR) ),
    inference(subsumption_resolution,[],[f527,f100]) ).

fof(f527,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X1,xR) ),
    inference(subsumption_resolution,[],[f526,f114]) ).

fof(f526,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aElement0(xb)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X1,xR) ),
    inference(duplicate_literal_removal,[],[f517]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ sdtmndtplgtdt0(X0,xR,X1)
      | ~ aElement0(xb)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aReductOfIn0(xa,X1,xR) ),
    inference(resolution,[],[f170,f357]) ).

fof(f170,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtplgtdt0(X2,X1,X3)
      | sdtmndtplgtdt0(X0,X1,X3)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2,X3] :
      ( sdtmndtplgtdt0(X0,X1,X3)
      | ~ sdtmndtplgtdt0(X2,X1,X3)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3] :
      ( sdtmndtplgtdt0(X0,X1,X3)
      | ~ sdtmndtplgtdt0(X2,X1,X3)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aElement0(X3)
        & aElement0(X2)
        & aRewritingSystem0(X1)
        & aElement0(X0) )
     => ( ( sdtmndtplgtdt0(X2,X1,X3)
          & sdtmndtplgtdt0(X0,X1,X2) )
       => sdtmndtplgtdt0(X0,X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCTrans) ).

fof(f489,plain,
    ! [X2,X3,X0,X1] :
      ( aReductOfIn0(sK20(X0,X1),X1,X0)
      | ~ sdtmndtasgtdt0(X2,X0,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X2)
      | ~ aReductOfIn0(X3,X1,X0) ),
    inference(duplicate_literal_removal,[],[f484]) ).

fof(f484,plain,
    ! [X2,X3,X0,X1] :
      ( aReductOfIn0(sK20(X0,X1),X1,X0)
      | ~ sdtmndtasgtdt0(X2,X0,X1)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X2)
      | ~ aReductOfIn0(X3,X1,X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X2) ),
    inference(resolution,[],[f158,f157]) ).

fof(f498,plain,
    ! [X2,X0,X1] :
      ( aNormalFormOfIn0(sK19(X0,X1),X2,X0)
      | ~ sdtmndtasgtdt0(X2,X0,sK19(X0,X1))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f490,f203]) ).

fof(f490,plain,
    ! [X2,X0,X1] :
      ( aNormalFormOfIn0(sK19(X0,X1),X2,X0)
      | ~ sdtmndtasgtdt0(X2,X0,sK19(X0,X1))
      | ~ aElement0(sK19(X0,X1))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ isTerminating0(X0) ),
    inference(duplicate_literal_removal,[],[f483]) ).

fof(f483,plain,
    ! [X2,X0,X1] :
      ( aNormalFormOfIn0(sK19(X0,X1),X2,X0)
      | ~ sdtmndtasgtdt0(X2,X0,sK19(X0,X1))
      | ~ aElement0(sK19(X0,X1))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | ~ isTerminating0(X0) ),
    inference(resolution,[],[f158,f211]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( aReductOfIn0(sK20(X1,X2),X2,X1)
      | aNormalFormOfIn0(X2,X0,X1)
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( aNormalFormOfIn0(X2,X0,X1)
            | aReductOfIn0(sK20(X1,X2),X2,X1)
            | ~ sdtmndtasgtdt0(X0,X1,X2)
            | ~ aElement0(X2) )
          & ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
              & sdtmndtasgtdt0(X0,X1,X2)
              & aElement0(X2) )
            | ~ aNormalFormOfIn0(X2,X0,X1) ) )
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f88,f89]) ).

fof(f89,plain,
    ! [X1,X2] :
      ( ? [X3] : aReductOfIn0(X3,X2,X1)
     => aReductOfIn0(sK20(X1,X2),X2,X1) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( aNormalFormOfIn0(X2,X0,X1)
            | ? [X3] : aReductOfIn0(X3,X2,X1)
            | ~ sdtmndtasgtdt0(X0,X1,X2)
            | ~ aElement0(X2) )
          & ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
              & sdtmndtasgtdt0(X0,X1,X2)
              & aElement0(X2) )
            | ~ aNormalFormOfIn0(X2,X0,X1) ) )
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( aNormalFormOfIn0(X2,X0,X1)
            | ? [X3] : aReductOfIn0(X3,X2,X1)
            | ~ sdtmndtasgtdt0(X0,X1,X2)
            | ~ aElement0(X2) )
          & ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
              & sdtmndtasgtdt0(X0,X1,X2)
              & aElement0(X2) )
            | ~ aNormalFormOfIn0(X2,X0,X1) ) )
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( aNormalFormOfIn0(X2,X0,X1)
            | ? [X3] : aReductOfIn0(X3,X2,X1)
            | ~ sdtmndtasgtdt0(X0,X1,X2)
            | ~ aElement0(X2) )
          & ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
              & sdtmndtasgtdt0(X0,X1,X2)
              & aElement0(X2) )
            | ~ aNormalFormOfIn0(X2,X0,X1) ) )
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( aNormalFormOfIn0(X2,X0,X1)
        <=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
            & sdtmndtasgtdt0(X0,X1,X2)
            & aElement0(X2) ) )
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( aNormalFormOfIn0(X2,X0,X1)
        <=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
            & sdtmndtasgtdt0(X0,X1,X2)
            & aElement0(X2) ) )
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( aRewritingSystem0(X1)
        & aElement0(X0) )
     => ! [X2] :
          ( aNormalFormOfIn0(X2,X0,X1)
        <=> ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
            & sdtmndtasgtdt0(X0,X1,X2)
            & aElement0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).

fof(f431,plain,
    ! [X0,X1] :
      ( sK19(X1,X0) = X0
      | sdtmndtplgtdt0(X0,X1,sK19(X1,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ isTerminating0(X1) ),
    inference(subsumption_resolution,[],[f410,f203]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( sK19(X1,X0) = X0
      | sdtmndtplgtdt0(X0,X1,sK19(X1,X0))
      | ~ aElement0(sK19(X1,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ isTerminating0(X1) ),
    inference(duplicate_literal_removal,[],[f407]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( sK19(X1,X0) = X0
      | sdtmndtplgtdt0(X0,X1,sK19(X1,X0))
      | ~ aElement0(sK19(X1,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ isTerminating0(X1) ),
    inference(resolution,[],[f167,f206]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,X1,X2)
      | X0 = X2
      | sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( ( ( sdtmndtasgtdt0(X0,X1,X2)
          | ( ~ sdtmndtplgtdt0(X0,X1,X2)
            & X0 != X2 ) )
        & ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2
          | ~ sdtmndtasgtdt0(X0,X1,X2) ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ( ( sdtmndtasgtdt0(X0,X1,X2)
          | ( ~ sdtmndtplgtdt0(X0,X1,X2)
            & X0 != X2 ) )
        & ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2
          | ~ sdtmndtasgtdt0(X0,X1,X2) ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aRewritingSystem0(X1)
        & aElement0(X0) )
     => ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).

fof(f398,plain,
    ! [X0] :
      ( ~ aReductOfIn0(sK15(X0),sK14(X0),X0)
      | ~ aRewritingSystem0(X0)
      | sP2(X0) ),
    inference(subsumption_resolution,[],[f388,f139]) ).

fof(f388,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | ~ aReductOfIn0(sK15(X0),sK14(X0),X0)
      | sP2(X0) ),
    inference(duplicate_literal_removal,[],[f387]) ).

fof(f387,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | ~ aReductOfIn0(sK15(X0),sK14(X0),X0)
      | ~ aRewritingSystem0(X0)
      | sP2(X0) ),
    inference(resolution,[],[f355,f298]) ).

fof(f397,plain,
    ! [X0] :
      ( ~ aReductOfIn0(sK11(X0),sK10(X0),X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f389,f127]) ).

fof(f389,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | ~ aReductOfIn0(sK11(X0),sK10(X0),X0)
      | sP0(X0) ),
    inference(duplicate_literal_removal,[],[f386]) ).

fof(f386,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | ~ aReductOfIn0(sK11(X0),sK10(X0),X0)
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(resolution,[],[f355,f295]) ).

fof(f391,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | ~ aReductOfIn0(X2,X1,X0)
      | sP6(X2,X0,X3)
      | ~ aReductOfIn0(X1,X3,X0) ),
    inference(duplicate_literal_removal,[],[f378]) ).

fof(f378,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | ~ aReductOfIn0(X2,X1,X0)
      | sP6(X2,X0,X3)
      | ~ aReductOfIn0(X1,X3,X0)
      | ~ aElement0(X1) ),
    inference(resolution,[],[f355,f165]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(X2,X0,X1) ),
    inference(subsumption_resolution,[],[f350,f154]) ).

fof(f350,plain,
    ! [X2,X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(X2,X0,X1) ),
    inference(resolution,[],[f215,f164]) ).

fof(f375,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | sP6(xc,xR,X1)
      | ~ aReductOfIn0(X0,X1,xR) ),
    inference(duplicate_literal_removal,[],[f370]) ).

fof(f370,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | sP6(xc,xR,X1)
      | ~ aReductOfIn0(X0,X1,xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f359,f165]) ).

fof(f359,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR) ),
    inference(subsumption_resolution,[],[f358,f100]) ).

fof(f358,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR) ),
    inference(subsumption_resolution,[],[f352,f115]) ).

fof(f352,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xc)
      | ~ aElement0(xc)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR) ),
    inference(resolution,[],[f215,f272]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | sP6(xb,xR,X1)
      | ~ aReductOfIn0(X0,X1,xR) ),
    inference(duplicate_literal_removal,[],[f361]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | sP6(xb,xR,X1)
      | ~ aReductOfIn0(X0,X1,xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f357,f165]) ).

fof(f357,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR) ),
    inference(subsumption_resolution,[],[f356,f100]) ).

fof(f356,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR) ),
    inference(subsumption_resolution,[],[f351,f114]) ).

fof(f351,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(X0,xR,xb)
      | ~ aElement0(xb)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR) ),
    inference(resolution,[],[f215,f271]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,sK18(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(sK17(X1),X0,X1)
      | sP4(X1) ),
    inference(subsumption_resolution,[],[f353,f149]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,sK18(X1))
      | ~ aElement0(sK18(X1))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aReductOfIn0(sK17(X1),X0,X1)
      | sP4(X1) ),
    inference(resolution,[],[f215,f273]) ).

fof(f215,plain,
    ! [X2,X0,X1] :
      ( ~ sP6(X0,X1,X2)
      | sdtmndtplgtdt0(X2,X1,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(resolution,[],[f160,f166]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( sdtmndtplgtdt0(sK21(X0,X1,X2),X1,X0)
      | aReductOfIn0(X0,X2,X1)
      | ~ sP6(X0,X1,X2) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ( sP6(X0,X1,X2)
        | ( ! [X3] :
              ( ~ sdtmndtplgtdt0(X3,X1,X0)
              | ~ aReductOfIn0(X3,X2,X1)
              | ~ aElement0(X3) )
          & ~ aReductOfIn0(X0,X2,X1) ) )
      & ( ( sdtmndtplgtdt0(sK21(X0,X1,X2),X1,X0)
          & aReductOfIn0(sK21(X0,X1,X2),X2,X1)
          & aElement0(sK21(X0,X1,X2)) )
        | aReductOfIn0(X0,X2,X1)
        | ~ sP6(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f94,f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( sdtmndtplgtdt0(X4,X1,X0)
          & aReductOfIn0(X4,X2,X1)
          & aElement0(X4) )
     => ( sdtmndtplgtdt0(sK21(X0,X1,X2),X1,X0)
        & aReductOfIn0(sK21(X0,X1,X2),X2,X1)
        & aElement0(sK21(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( ( sP6(X0,X1,X2)
        | ( ! [X3] :
              ( ~ sdtmndtplgtdt0(X3,X1,X0)
              | ~ aReductOfIn0(X3,X2,X1)
              | ~ aElement0(X3) )
          & ~ aReductOfIn0(X0,X2,X1) ) )
      & ( ? [X4] :
            ( sdtmndtplgtdt0(X4,X1,X0)
            & aReductOfIn0(X4,X2,X1)
            & aElement0(X4) )
        | aReductOfIn0(X0,X2,X1)
        | ~ sP6(X0,X1,X2) ) ),
    inference(rectify,[],[f93]) ).

fof(f93,plain,
    ! [X2,X1,X0] :
      ( ( sP6(X2,X1,X0)
        | ( ! [X3] :
              ( ~ sdtmndtplgtdt0(X3,X1,X2)
              | ~ aReductOfIn0(X3,X0,X1)
              | ~ aElement0(X3) )
          & ~ aReductOfIn0(X2,X0,X1) ) )
      & ( ? [X3] :
            ( sdtmndtplgtdt0(X3,X1,X2)
            & aReductOfIn0(X3,X0,X1)
            & aElement0(X3) )
        | aReductOfIn0(X2,X0,X1)
        | ~ sP6(X2,X1,X0) ) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X2,X1,X0] :
      ( ( sP6(X2,X1,X0)
        | ( ! [X3] :
              ( ~ sdtmndtplgtdt0(X3,X1,X2)
              | ~ aReductOfIn0(X3,X0,X1)
              | ~ aElement0(X3) )
          & ~ aReductOfIn0(X2,X0,X1) ) )
      & ( ? [X3] :
            ( sdtmndtplgtdt0(X3,X1,X2)
            & aReductOfIn0(X3,X0,X1)
            & aElement0(X3) )
        | aReductOfIn0(X2,X0,X1)
        | ~ sP6(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X2,X1,X0] :
      ( sP6(X2,X1,X0)
    <=> ( ? [X3] :
            ( sdtmndtplgtdt0(X3,X1,X2)
            & aReductOfIn0(X3,X0,X1)
            & aElement0(X3) )
        | aReductOfIn0(X2,X0,X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f344,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtplgtdt0(sK19(X0,X1),X0,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f341,f203]) ).

fof(f341,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtplgtdt0(sK19(X0,X1),X0,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK19(X0,X1))
      | ~ aElement0(X1)
      | ~ isTerminating0(X0) ),
    inference(duplicate_literal_removal,[],[f340]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtplgtdt0(sK19(X0,X1),X0,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK19(X0,X1))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1)
      | ~ isTerminating0(X0) ),
    inference(resolution,[],[f214,f316]) ).

fof(f214,plain,
    ! [X2,X0,X1] :
      ( sP6(X2,X1,X0)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f159,f166]) ).

fof(f316,plain,
    ! [X2,X0,X1] :
      ( ~ sP6(X0,X1,sK19(X1,X2))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ isTerminating0(X1) ),
    inference(subsumption_resolution,[],[f314,f211]) ).

fof(f314,plain,
    ! [X2,X0,X1] :
      ( aReductOfIn0(X0,sK19(X1,X2),X1)
      | ~ sP6(X0,X1,sK19(X1,X2))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ isTerminating0(X1) ),
    inference(resolution,[],[f162,f211]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK14(X0),X0,sK15(X0))
      | ~ aRewritingSystem0(X0)
      | sP2(X0) ),
    inference(subsumption_resolution,[],[f297,f139]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK14(X0),X0,sK15(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | sP2(X0) ),
    inference(subsumption_resolution,[],[f282,f140]) ).

fof(f282,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK14(X0),X0,sK15(X0))
      | ~ aElement0(sK15(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | sP2(X0) ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK14(X0),X0,sK15(X0))
      | ~ aElement0(sK15(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK14(X0))
      | sP2(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f169,f265]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK10(X0),X0,sK11(X0))
      | ~ aRewritingSystem0(X0)
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f294,f127]) ).

fof(f294,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK10(X0),X0,sK11(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | sP0(X0) ),
    inference(subsumption_resolution,[],[f284,f128]) ).

fof(f284,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK10(X0),X0,sK11(X0))
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | sP0(X0) ),
    inference(duplicate_literal_removal,[],[f277]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(sK10(X0),X0,sK11(X0))
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK10(X0))
      | sP0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f169,f259]) ).

fof(f315,plain,
    ! [X0] : ~ sP6(X0,xR,xd),
    inference(subsumption_resolution,[],[f313,f213]) ).

fof(f313,plain,
    ! [X0] :
      ( aReductOfIn0(X0,xd,xR)
      | ~ sP6(X0,xR,xd) ),
    inference(resolution,[],[f162,f213]) ).

fof(f162,plain,
    ! [X2,X0,X1] :
      ( aReductOfIn0(sK21(X0,X1,X2),X2,X1)
      | aReductOfIn0(X0,X2,X1)
      | ~ sP6(X0,X1,X2) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f169,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( sP6(sK18(X0),X0,X1)
      | ~ aReductOfIn0(sK17(X0),X1,X0)
      | sP4(X0) ),
    inference(subsumption_resolution,[],[f270,f148]) ).

fof(f270,plain,
    ! [X0,X1] :
      ( sP6(sK18(X0),X0,X1)
      | ~ aReductOfIn0(sK17(X0),X1,X0)
      | ~ aElement0(sK17(X0))
      | sP4(X0) ),
    inference(resolution,[],[f165,f150]) ).

fof(f272,plain,
    ! [X0] :
      ( sP6(xc,xR,X0)
      | ~ aReductOfIn0(xa,X0,xR) ),
    inference(subsumption_resolution,[],[f269,f113]) ).

fof(f269,plain,
    ! [X0] :
      ( sP6(xc,xR,X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | ~ aElement0(xa) ),
    inference(resolution,[],[f165,f117]) ).

fof(f271,plain,
    ! [X0] :
      ( sP6(xb,xR,X0)
      | ~ aReductOfIn0(xa,X0,xR) ),
    inference(subsumption_resolution,[],[f268,f113]) ).

fof(f268,plain,
    ! [X0] :
      ( sP6(xb,xR,X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | ~ aElement0(xa) ),
    inference(resolution,[],[f165,f116]) ).

fof(f165,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtplgtdt0(X3,X1,X0)
      | sP6(X0,X1,X2)
      | ~ aReductOfIn0(X3,X2,X1)
      | ~ aElement0(X3) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f265,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK14(X0),X0,sK15(X0))
      | sP2(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(subsumption_resolution,[],[f264,f140]) ).

fof(f264,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK15(X0))
      | ~ aElement0(sK15(X0))
      | ~ aRewritingSystem0(X0) ),
    inference(duplicate_literal_removal,[],[f262]) ).

fof(f262,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK15(X0))
      | ~ aElement0(sK15(X0))
      | ~ aElement0(sK15(X0))
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f143,f173]) ).

fof(f267,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK19(X0,sK15(X0)))
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f266,f140]) ).

fof(f266,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK19(X0,sK15(X0)))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK15(X0))
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f263,f203]) ).

fof(f263,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,sK19(X0,sK15(X0)))
      | ~ aElement0(sK19(X0,sK15(X0)))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK15(X0))
      | ~ isTerminating0(X0) ),
    inference(resolution,[],[f143,f206]) ).

fof(f143,plain,
    ! [X0,X4] :
      ( ~ sdtmndtasgtdt0(sK15(X0),X0,X4)
      | sP2(X0)
      | ~ sdtmndtasgtdt0(sK14(X0),X0,X4)
      | ~ aElement0(X4) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f259,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK10(X0),X0,sK11(X0))
      | sP0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(subsumption_resolution,[],[f258,f128]) ).

fof(f258,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,sK11(X0))
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0) ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f256,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,sK11(X0))
      | ~ aElement0(sK11(X0))
      | ~ aElement0(sK11(X0))
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f131,f173]) ).

fof(f261,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,sK19(X0,sK11(X0)))
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f260,f128]) ).

fof(f260,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,sK19(X0,sK11(X0)))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | ~ isTerminating0(X0) ),
    inference(subsumption_resolution,[],[f257,f203]) ).

fof(f257,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,sK19(X0,sK11(X0)))
      | ~ aElement0(sK19(X0,sK11(X0)))
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(sK11(X0))
      | ~ isTerminating0(X0) ),
    inference(resolution,[],[f131,f206]) ).

fof(f131,plain,
    ! [X0,X4] :
      ( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
      | sP0(X0)
      | ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
      | ~ aElement0(X4) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f161,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK21(X0,X1,X2))
      | aReductOfIn0(X0,X2,X1)
      | ~ sP6(X0,X1,X2) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f211,plain,
    ! [X2,X0,X1] :
      ( ~ aReductOfIn0(X0,sK19(X1,X2),X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ isTerminating0(X1) ),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( ~ aReductOfIn0(X0,sK19(X1,X2),X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X2)
      | ~ isTerminating0(X1)
      | ~ aRewritingSystem0(X1) ),
    inference(resolution,[],[f157,f153]) ).

fof(f233,plain,
    ( iLess0(xb,xa)
    | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f232,f113]) ).

fof(f232,plain,
    ( iLess0(xb,xa)
    | ~ aElement0(xa)
    | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f229,f114]) ).

fof(f229,plain,
    ( iLess0(xb,xa)
    | ~ aElement0(xb)
    | ~ aElement0(xa)
    | ~ sP4(xR) ),
    inference(resolution,[],[f147,f116]) ).

fof(f235,plain,
    ( iLess0(xc,xa)
    | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f234,f113]) ).

fof(f234,plain,
    ( iLess0(xc,xa)
    | ~ aElement0(xa)
    | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f230,f115]) ).

fof(f230,plain,
    ( iLess0(xc,xa)
    | ~ aElement0(xc)
    | ~ aElement0(xa)
    | ~ sP4(xR) ),
    inference(resolution,[],[f147,f117]) ).

fof(f147,plain,
    ! [X3,X0,X4] :
      ( ~ sdtmndtplgtdt0(X3,X0,X4)
      | iLess0(X4,X3)
      | ~ aElement0(X4)
      | ~ aElement0(X3)
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ( ~ iLess0(sK18(X0),sK17(X0))
          & sdtmndtplgtdt0(sK17(X0),X0,sK18(X0))
          & aElement0(sK18(X0))
          & aElement0(sK17(X0)) ) )
      & ( ! [X3,X4] :
            ( iLess0(X4,X3)
            | ~ sdtmndtplgtdt0(X3,X0,X4)
            | ~ aElement0(X4)
            | ~ aElement0(X3) )
        | ~ sP4(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f81,f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( ~ iLess0(X2,X1)
          & sdtmndtplgtdt0(X1,X0,X2)
          & aElement0(X2)
          & aElement0(X1) )
     => ( ~ iLess0(sK18(X0),sK17(X0))
        & sdtmndtplgtdt0(sK17(X0),X0,sK18(X0))
        & aElement0(sK18(X0))
        & aElement0(sK17(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1,X2] :
            ( ~ iLess0(X2,X1)
            & sdtmndtplgtdt0(X1,X0,X2)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X3,X4] :
            ( iLess0(X4,X3)
            | ~ sdtmndtplgtdt0(X3,X0,X4)
            | ~ aElement0(X4)
            | ~ aElement0(X3) )
        | ~ sP4(X0) ) ),
    inference(rectify,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1,X2] :
            ( ~ iLess0(X2,X1)
            & sdtmndtplgtdt0(X1,X0,X2)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X1,X2] :
            ( iLess0(X2,X1)
            | ~ sdtmndtplgtdt0(X1,X0,X2)
            | ~ aElement0(X2)
            | ~ aElement0(X1) )
        | ~ sP4(X0) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( sP4(X0)
    <=> ! [X1,X2] :
          ( iLess0(X2,X1)
          | ~ sdtmndtplgtdt0(X1,X0,X2)
          | ~ aElement0(X2)
          | ~ aElement0(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK19(X1,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ isTerminating0(X1) ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,sK19(X1,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(X0)
      | ~ isTerminating0(X1)
      | ~ aRewritingSystem0(X1) ),
    inference(resolution,[],[f156,f153]) ).

fof(f160,plain,
    ! [X2,X0,X1] :
      ( ~ sP7(X0,X1,X2)
      | ~ sP6(X2,X1,X0)
      | sdtmndtplgtdt0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( ( ( sdtmndtplgtdt0(X0,X1,X2)
          | ~ sP6(X2,X1,X0) )
        & ( sP6(X2,X1,X0)
          | ~ sdtmndtplgtdt0(X0,X1,X2) ) )
      | ~ sP7(X0,X1,X2) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtplgtdt0(X0,X1,X2)
      <=> sP6(X2,X1,X0) )
      | ~ sP7(X0,X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( ~ sP7(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | sP6(X2,X1,X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f213,plain,
    ! [X0] : ~ aReductOfIn0(X0,xd,xR),
    inference(subsumption_resolution,[],[f212,f110]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ aReductOfIn0(X0,xd,xR)
      | ~ aElement0(xw) ),
    inference(subsumption_resolution,[],[f209,f100]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ aReductOfIn0(X0,xd,xR)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(xw) ),
    inference(resolution,[],[f157,f101]) ).

fof(f157,plain,
    ! [X2,X0,X1,X4] :
      ( ~ aNormalFormOfIn0(X2,X0,X1)
      | ~ aReductOfIn0(X4,X2,X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f208,plain,
    sdtmndtasgtdt0(xw,xR,xd),
    inference(subsumption_resolution,[],[f207,f110]) ).

fof(f207,plain,
    ( sdtmndtasgtdt0(xw,xR,xd)
    | ~ aElement0(xw) ),
    inference(subsumption_resolution,[],[f204,f100]) ).

fof(f204,plain,
    ( sdtmndtasgtdt0(xw,xR,xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f156,f101]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ aNormalFormOfIn0(X2,X0,X1)
      | sdtmndtasgtdt0(X0,X1,X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( aElement0(sK19(X1,X0))
      | ~ isTerminating0(X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(duplicate_literal_removal,[],[f202]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ isTerminating0(X1)
      | ~ aRewritingSystem0(X1)
      | aElement0(sK19(X1,X0))
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f153,f155]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK19(X0,X1),X1,X0)
      | ~ aElement0(X1)
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1] :
          ( aNormalFormOfIn0(sK19(X0,X1),X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f40,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
     => aNormalFormOfIn0(sK19(X0,X1),X1,X0) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( isTerminating0(X0)
        & aRewritingSystem0(X0) )
     => ! [X1] :
          ( aElement0(X1)
         => ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermNF) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( sP7(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( sP7(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(definition_folding,[],[f46,f63,f62]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtplgtdt0(X0,X1,X2)
      <=> ( ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtplgtdt0(X0,X1,X2)
      <=> ( ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aRewritingSystem0(X1)
        & aElement0(X0) )
     => ( sdtmndtplgtdt0(X0,X1,X2)
      <=> ( ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).

fof(f201,plain,
    aElement0(xd),
    inference(subsumption_resolution,[],[f200,f110]) ).

fof(f200,plain,
    ( aElement0(xd)
    | ~ aElement0(xw) ),
    inference(subsumption_resolution,[],[f195,f100]) ).

fof(f195,plain,
    ( aElement0(xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f155,f101]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( ~ aNormalFormOfIn0(X2,X0,X1)
      | aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( ~ aReductOfIn0(X2,X0,X1)
      | aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( aElement0(X2)
          | ~ aReductOfIn0(X2,X0,X1) )
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( aElement0(X2)
          | ~ aReductOfIn0(X2,X0,X1) )
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( aRewritingSystem0(X1)
        & aElement0(X0) )
     => ! [X2] :
          ( aReductOfIn0(X2,X0,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mReduct) ).

fof(f181,plain,
    ( ~ aElement0(xd)
    | ~ sdtmndtasgtdt0(xb,xR,xd) ),
    inference(subsumption_resolution,[],[f180,f100]) ).

fof(f180,plain,
    ( ~ aElement0(xd)
    | ~ aRewritingSystem0(xR)
    | ~ sdtmndtasgtdt0(xb,xR,xd) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ( ~ aElement0(xd)
    | ~ aRewritingSystem0(xR)
    | ~ sdtmndtasgtdt0(xb,xR,xd)
    | ~ aElement0(xd) ),
    inference(resolution,[],[f173,f99]) ).

fof(f173,plain,
    ! [X2,X1] :
      ( sdtmndtasgtdt0(X2,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X2,X1] :
      ( sdtmndtasgtdt0(X2,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(equality_resolution,[],[f168]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,X2)
      | X0 != X2
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( sP6(X0,X1,X2)
      | ~ aReductOfIn0(X0,X2,X1) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f150,plain,
    ! [X0] :
      ( sdtmndtplgtdt0(sK17(X0),X0,sK18(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f142,plain,
    ! [X0] :
      ( aReductOfIn0(sK15(X0),sK13(X0),X0)
      | sP2(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f141,plain,
    ! [X0] :
      ( aReductOfIn0(sK14(X0),sK13(X0),X0)
      | sP2(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f130,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
      | sP0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f129,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
      | sP0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(xd,xR,X0)
      | ~ sdtmndtasgtdt0(xb,xR,X0)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(xd,xR,X0)
      | ~ sdtmndtasgtdt0(xb,xR,X0)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,negated_conjecture,
    ~ ? [X0] :
        ( sdtmndtasgtdt0(xd,xR,X0)
        & sdtmndtasgtdt0(xb,xR,X0)
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f24]) ).

fof(f24,conjecture,
    ? [X0] :
      ( sdtmndtasgtdt0(xd,xR,X0)
      & sdtmndtasgtdt0(xb,xR,X0)
      & aElement0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f151,plain,
    ! [X0] :
      ( ~ iLess0(sK18(X0),sK17(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ sP4(X0)
      | isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f146,f152]) ).

fof(f175,plain,
    ! [X0] :
      ( sP4(X0)
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f145,f152]) ).

fof(f174,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ isLocallyConfluent0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(resolution,[],[f133,f144]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ sP5(X0)
      | ~ sP4(X0)
      | isTerminating0(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ( ( isTerminating0(X0)
          | ~ sP4(X0) )
        & ( sP4(X0)
          | ~ isTerminating0(X0) ) )
      | ~ sP5(X0) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ( isTerminating0(X0)
      <=> sP4(X0) )
      | ~ sP5(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ sP5(X0)
      | ~ isTerminating0(X0)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | ~ isLocallyConfluent0(X0)
      | sP2(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ( ( isLocallyConfluent0(X0)
          | ~ sP2(X0) )
        & ( sP2(X0)
          | ~ isLocallyConfluent0(X0) ) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ( isLocallyConfluent0(X0)
      <=> sP2(X0) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f149,plain,
    ! [X0] :
      ( aElement0(sK18(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f148,plain,
    ! [X0] :
      ( aElement0(sK17(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f140,plain,
    ! [X0] :
      ( aElement0(sK15(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f139,plain,
    ! [X0] :
      ( aElement0(sK14(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f138,plain,
    ! [X0] :
      ( aElement0(sK13(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f128,plain,
    ! [X0] :
      ( aElement0(sK11(X0))
      | sP0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f127,plain,
    ! [X0] :
      ( aElement0(sK10(X0))
      | sP0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f126,plain,
    ! [X0] :
      ( aElement0(sK9(X0))
      | sP0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f152,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(definition_folding,[],[f38,f60,f59]) ).

fof(f38,plain,
    ! [X0] :
      ( ( isTerminating0(X0)
      <=> ! [X1,X2] :
            ( iLess0(X2,X1)
            | ~ sdtmndtplgtdt0(X1,X0,X2)
            | ~ aElement0(X2)
            | ~ aElement0(X1) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ( isTerminating0(X0)
      <=> ! [X1,X2] :
            ( iLess0(X2,X1)
            | ~ sdtmndtplgtdt0(X1,X0,X2)
            | ~ aElement0(X2)
            | ~ aElement0(X1) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aRewritingSystem0(X0)
     => ( isTerminating0(X0)
      <=> ! [X1,X2] :
            ( ( aElement0(X2)
              & aElement0(X1) )
           => ( sdtmndtplgtdt0(X1,X0,X2)
             => iLess0(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermin) ).

fof(f144,plain,
    ! [X0] :
      ( sP3(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( sP3(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(definition_folding,[],[f36,f57,f56]) ).

fof(f36,plain,
    ! [X0] :
      ( ( isLocallyConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ aReductOfIn0(X3,X1,X0)
            | ~ aReductOfIn0(X2,X1,X0)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ( isLocallyConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ aReductOfIn0(X3,X1,X0)
            | ~ aReductOfIn0(X2,X1,X0)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aRewritingSystem0(X0)
     => ( isLocallyConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ( aReductOfIn0(X3,X1,X0)
              & aReductOfIn0(X2,X1,X0)
              & aElement0(X3)
              & aElement0(X2)
              & aElement0(X1) )
           => ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mWCRDef) ).

fof(f117,plain,
    sdtmndtplgtdt0(xa,xR,xc),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ( sdtmndtplgtdt0(xa,xR,xc)
    & sdtmndtplgtdt0(xa,xR,xb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731_02) ).

fof(f116,plain,
    sdtmndtplgtdt0(xa,xR,xb),
    inference(cnf_transformation,[],[f19]) ).

fof(f112,plain,
    sdtmndtasgtdt0(xv,xR,xw),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    ( sdtmndtasgtdt0(xv,xR,xw)
    & sdtmndtasgtdt0(xu,xR,xw)
    & aElement0(xw) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).

fof(f111,plain,
    sdtmndtasgtdt0(xu,xR,xw),
    inference(cnf_transformation,[],[f22]) ).

fof(f109,plain,
    sdtmndtasgtdt0(xu,xR,xb),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    ( sdtmndtasgtdt0(xu,xR,xb)
    & aReductOfIn0(xu,xa,xR)
    & aElement0(xu) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__755) ).

fof(f108,plain,
    aReductOfIn0(xu,xa,xR),
    inference(cnf_transformation,[],[f20]) ).

fof(f106,plain,
    sdtmndtasgtdt0(xv,xR,xc),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    ( sdtmndtasgtdt0(xv,xR,xc)
    & aReductOfIn0(xv,xa,xR)
    & aElement0(xv) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__779) ).

fof(f105,plain,
    aReductOfIn0(xv,xa,xR),
    inference(cnf_transformation,[],[f21]) ).

fof(f101,plain,
    aNormalFormOfIn0(xd,xw,xR),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    aNormalFormOfIn0(xd,xw,xR),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).

fof(f115,plain,
    aElement0(xc),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( aElement0(xc)
    & aElement0(xb)
    & aElement0(xa) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).

fof(f114,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f17]) ).

fof(f113,plain,
    aElement0(xa),
    inference(cnf_transformation,[],[f17]) ).

fof(f110,plain,
    aElement0(xw),
    inference(cnf_transformation,[],[f22]) ).

fof(f107,plain,
    aElement0(xu),
    inference(cnf_transformation,[],[f20]) ).

fof(f104,plain,
    aElement0(xv),
    inference(cnf_transformation,[],[f21]) ).

fof(f103,plain,
    isTerminating0(xR),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( isTerminating0(xR)
    & isLocallyConfluent0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).

fof(f102,plain,
    isLocallyConfluent0(xR),
    inference(cnf_transformation,[],[f16]) ).

fof(f100,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).

fof(f6598,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,sK8(xd,xb))
    | ~ spl22_2
    | ~ spl22_31
    | ~ spl22_32
    | ~ spl22_94 ),
    inference(subsumption_resolution,[],[f6084,f6232]) ).

fof(f6084,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,xd)
    | ~ sdtmndtasgtdt0(xb,xR,sK8(xd,xb))
    | ~ spl22_2
    | ~ spl22_31
    | ~ spl22_32 ),
    inference(subsumption_resolution,[],[f6083,f5889]) ).

fof(f5889,plain,
    ( aElement0(sK8(xd,xb))
    | ~ spl22_2
    | ~ spl22_31 ),
    inference(subsumption_resolution,[],[f5888,f107]) ).

fof(f5888,plain,
    ( aElement0(sK8(xd,xb))
    | ~ aElement0(xu)
    | ~ spl22_2
    | ~ spl22_31 ),
    inference(subsumption_resolution,[],[f5887,f111]) ).

fof(f5887,plain,
    ( aElement0(sK8(xd,xb))
    | ~ sdtmndtasgtdt0(xu,xR,xw)
    | ~ aElement0(xu)
    | ~ spl22_2
    | ~ spl22_31 ),
    inference(subsumption_resolution,[],[f5842,f188]) ).

fof(f5842,plain,
    ( ~ aElement0(xd)
    | aElement0(sK8(xd,xb))
    | ~ sdtmndtasgtdt0(xu,xR,xw)
    | ~ aElement0(xu)
    | ~ spl22_2
    | ~ spl22_31 ),
    inference(resolution,[],[f1598,f608]) ).

fof(f608,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(X0) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f607,f100]) ).

fof(f607,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f606,f110]) ).

fof(f606,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f583,f188]) ).

fof(f583,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,xd)
      | ~ sdtmndtasgtdt0(X0,xR,xw)
      | ~ aElement0(xd)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f171,f208]) ).

fof(f1598,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | aElement0(sK8(X0,xb)) )
    | ~ spl22_31 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f1597,plain,
    ( spl22_31
  <=> ! [X0] :
        ( aElement0(sK8(X0,xb))
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(xu,xR,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_31])]) ).

fof(f6083,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,xd)
    | ~ sdtmndtasgtdt0(xb,xR,sK8(xd,xb))
    | ~ aElement0(sK8(xd,xb))
    | ~ spl22_2
    | ~ spl22_32 ),
    inference(subsumption_resolution,[],[f6046,f188]) ).

fof(f6046,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,xd)
    | ~ aElement0(xd)
    | ~ sdtmndtasgtdt0(xb,xR,sK8(xd,xb))
    | ~ aElement0(sK8(xd,xb))
    | ~ spl22_32 ),
    inference(resolution,[],[f5605,f99]) ).

fof(f6330,plain,
    ( spl22_96
    | spl22_97
    | ~ spl22_2
    | ~ spl22_94 ),
    inference(avatar_split_clause,[],[f6282,f6230,f187,f6327,f6323]) ).

fof(f6323,plain,
    ( spl22_96
  <=> sdtmndtplgtdt0(xu,xR,xd) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_96])]) ).

fof(f6327,plain,
    ( spl22_97
  <=> xu = xd ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_97])]) ).

fof(f6282,plain,
    ( xu = xd
    | sdtmndtplgtdt0(xu,xR,xd)
    | ~ spl22_2
    | ~ spl22_94 ),
    inference(subsumption_resolution,[],[f6281,f107]) ).

fof(f6281,plain,
    ( xu = xd
    | sdtmndtplgtdt0(xu,xR,xd)
    | ~ aElement0(xu)
    | ~ spl22_2
    | ~ spl22_94 ),
    inference(subsumption_resolution,[],[f6280,f100]) ).

fof(f6280,plain,
    ( xu = xd
    | sdtmndtplgtdt0(xu,xR,xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | ~ spl22_2
    | ~ spl22_94 ),
    inference(subsumption_resolution,[],[f6264,f188]) ).

fof(f6264,plain,
    ( xu = xd
    | sdtmndtplgtdt0(xu,xR,xd)
    | ~ aElement0(xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | ~ spl22_94 ),
    inference(resolution,[],[f6232,f167]) ).

fof(f6248,plain,
    ( ~ spl22_2
    | spl22_94 ),
    inference(avatar_contradiction_clause,[],[f6247]) ).

fof(f6247,plain,
    ( $false
    | ~ spl22_2
    | spl22_94 ),
    inference(subsumption_resolution,[],[f6246,f107]) ).

fof(f6246,plain,
    ( ~ aElement0(xu)
    | ~ spl22_2
    | spl22_94 ),
    inference(subsumption_resolution,[],[f6240,f111]) ).

fof(f6240,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,xw)
    | ~ aElement0(xu)
    | ~ spl22_2
    | spl22_94 ),
    inference(resolution,[],[f6231,f608]) ).

fof(f6231,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,xd)
    | spl22_94 ),
    inference(avatar_component_clause,[],[f6230]) ).

fof(f6245,plain,
    ( ~ spl22_2
    | ~ spl22_14
    | spl22_94 ),
    inference(avatar_contradiction_clause,[],[f6244]) ).

fof(f6244,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_14
    | spl22_94 ),
    inference(subsumption_resolution,[],[f6243,f107]) ).

fof(f6243,plain,
    ( ~ aElement0(xu)
    | ~ spl22_2
    | ~ spl22_14
    | spl22_94 ),
    inference(subsumption_resolution,[],[f6239,f1712]) ).

fof(f1712,plain,
    ( sdtmndtasgtdt0(xu,xR,xv)
    | ~ spl22_14 ),
    inference(superposition,[],[f111,f567]) ).

fof(f567,plain,
    ( xv = xw
    | ~ spl22_14 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl22_14
  <=> xv = xw ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).

fof(f6239,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,xv)
    | ~ aElement0(xu)
    | ~ spl22_2
    | ~ spl22_14
    | spl22_94 ),
    inference(resolution,[],[f6231,f1810]) ).

fof(f1810,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xv)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1809,f100]) ).

fof(f1809,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1808,f104]) ).

fof(f1808,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xv)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1806,f188]) ).

fof(f1806,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xv)
        | ~ aElement0(xd)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1714,f171]) ).

fof(f1714,plain,
    ( sdtmndtasgtdt0(xv,xR,xd)
    | ~ spl22_14 ),
    inference(superposition,[],[f208,f567]) ).

fof(f6237,plain,
    ( spl22_94
    | ~ spl22_95
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_61 ),
    inference(avatar_split_clause,[],[f5687,f3426,f565,f187,f6234,f6230]) ).

fof(f6234,plain,
    ( spl22_95
  <=> sdtmndtplgtdt0(xv,xR,xu) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_95])]) ).

fof(f3426,plain,
    ( spl22_61
  <=> ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X0,xR,xd) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_61])]) ).

fof(f5687,plain,
    ( ~ sdtmndtplgtdt0(xv,xR,xu)
    | sdtmndtasgtdt0(xu,xR,xd)
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_61 ),
    inference(forward_demodulation,[],[f5686,f567]) ).

fof(f5686,plain,
    ( ~ sdtmndtplgtdt0(xw,xR,xu)
    | sdtmndtasgtdt0(xu,xR,xd)
    | ~ spl22_2
    | ~ spl22_61 ),
    inference(subsumption_resolution,[],[f5685,f107]) ).

fof(f5685,plain,
    ( ~ sdtmndtplgtdt0(xw,xR,xu)
    | sdtmndtasgtdt0(xu,xR,xd)
    | ~ aElement0(xu)
    | ~ spl22_2
    | ~ spl22_61 ),
    inference(subsumption_resolution,[],[f3704,f110]) ).

fof(f3704,plain,
    ( ~ sdtmndtplgtdt0(xw,xR,xu)
    | sdtmndtasgtdt0(xu,xR,xd)
    | ~ aElement0(xw)
    | ~ aElement0(xu)
    | ~ spl22_2
    | ~ spl22_61 ),
    inference(resolution,[],[f3494,f111]) ).

fof(f3494,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ aElement0(X0)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_61 ),
    inference(subsumption_resolution,[],[f3493,f100]) ).

fof(f3493,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_61 ),
    inference(subsumption_resolution,[],[f3480,f188]) ).

fof(f3480,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_61 ),
    inference(duplicate_literal_removal,[],[f3477]) ).

fof(f3477,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_61 ),
    inference(resolution,[],[f3427,f171]) ).

fof(f3427,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu) )
    | ~ spl22_61 ),
    inference(avatar_component_clause,[],[f3426]) ).

fof(f5935,plain,
    ( ~ spl22_14
    | ~ spl22_32
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5934]) ).

fof(f5934,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_32
    | spl22_36 ),
    inference(subsumption_resolution,[],[f5933,f114]) ).

fof(f5933,plain,
    ( ~ aElement0(xb)
    | ~ spl22_14
    | ~ spl22_32
    | spl22_36 ),
    inference(subsumption_resolution,[],[f5907,f1978]) ).

fof(f1978,plain,
    ( ~ aElement0(sK8(xb,xv))
    | spl22_36 ),
    inference(avatar_component_clause,[],[f1977]) ).

fof(f1977,plain,
    ( spl22_36
  <=> aElement0(sK8(xb,xv)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_36])]) ).

fof(f5907,plain,
    ( aElement0(sK8(xb,xv))
    | ~ aElement0(xb)
    | ~ spl22_14
    | ~ spl22_32 ),
    inference(resolution,[],[f5590,f109]) ).

fof(f5590,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | aElement0(sK8(X0,xv))
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_32 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f359,f375,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f348,f2342,f4681,f4682,f491,f4752,f4754,f4791,f4793,f4805,f4808,f4859,f4861,f4730,f4862,f4863,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f392,f5343,f5336,f5360,f5361,f1040,f965,f5542,f5550,f5554,f1601,f5572]) ).

fof(f5572,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xv))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f688,f567]) ).

fof(f5554,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f5553,f107]) ).

fof(f5553,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1818,f115]) ).

fof(f1818,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xc)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1779,f120]) ).

fof(f5550,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f5549,f107]) ).

fof(f5549,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1819,f115]) ).

fof(f1819,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xc)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1779,f119]) ).

fof(f5542,plain,
    ( aElement0(sK8(xc,xu))
    | ~ iLess0(xu,xa)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f5541,f115]) ).

fof(f5541,plain,
    ( aElement0(sK8(xc,xu))
    | ~ iLess0(xu,xa)
    | ~ aElement0(xc)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2316,f107]) ).

fof(f2316,plain,
    ( aElement0(sK8(xc,xu))
    | ~ iLess0(xu,xa)
    | ~ aElement0(xu)
    | ~ aElement0(xc)
    | ~ spl22_14 ),
    inference(resolution,[],[f697,f1779]) ).

fof(f4808,plain,
    ( aNormalFormOfIn0(xc,xu,xR)
    | aElement0(sK20(xR,xc))
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4807,f107]) ).

fof(f4807,plain,
    ( aNormalFormOfIn0(xc,xu,xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xc))
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4806,f100]) ).

fof(f4806,plain,
    ( aNormalFormOfIn0(xc,xu,xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xc))
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4706,f115]) ).

fof(f4706,plain,
    ( aNormalFormOfIn0(xc,xu,xR)
    | ~ aElement0(xc)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xc))
    | ~ spl22_14 ),
    inference(resolution,[],[f491,f1779]) ).

fof(f4754,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xc,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xc))
        | ~ sdtmndtplgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4753,f100]) ).

fof(f4753,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xc,X0,xR)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xc))
        | ~ sdtmndtplgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4749,f115]) ).

fof(f4749,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xc,X0,xR)
        | ~ aElement0(xc)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xc))
        | ~ sdtmndtplgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f4688]) ).

fof(f4688,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xc,X0,xR)
        | ~ aElement0(xc)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xc))
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f491,f3131]) ).

fof(f3235,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X1,xR,xc)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f3234,f100]) ).

fof(f3234,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X1,xR,xc)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f3222,f115]) ).

fof(f3222,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X1,xR,xc)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xc)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f3219]) ).

fof(f3219,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X1,xR,xc)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xc)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(resolution,[],[f3131,f171]) ).

fof(f3233,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | aElement0(sK8(X1,xc))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f3226,f115]) ).

fof(f3226,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | aElement0(sK8(X1,xc))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xc)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f3209]) ).

fof(f3209,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | aElement0(sK8(X1,xc))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xc)
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f3131,f118]) ).

fof(f3232,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(X1,xR,sK8(X1,xc))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f3227,f115]) ).

fof(f3227,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(X1,xR,sK8(X1,xc))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xc)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f3208]) ).

fof(f3208,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(X1,xR,sK8(X1,xc))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xc)
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f3131,f119]) ).

fof(f3231,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X1,xc))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f3228,f115]) ).

fof(f3228,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X1,xc))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xc)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f3207]) ).

fof(f3207,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X1,xc))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xc)
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f3131,f120]) ).

fof(f3230,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | aElement0(sK8(xc,X0))
        | ~ iLess0(X0,xa) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f3229,f115]) ).

fof(f3229,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | aElement0(sK8(xc,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(xc) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f3206]) ).

fof(f3206,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | aElement0(sK8(xc,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ aElement0(xc) )
    | ~ spl22_14 ),
    inference(resolution,[],[f3131,f697]) ).

fof(f3131,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xc)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f3130,f100]) ).

fof(f3130,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f3128,f107]) ).

fof(f3128,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f3127]) ).

fof(f3127,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f2471,f169]) ).

fof(f2471,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X0,xR,xc) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f2442]) ).

fof(f2442,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X0,xR,xc)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1717,f596]) ).

fof(f2578,plain,
    ( xu = xv
    | sdtmndtplgtdt0(xu,xR,xv)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2577,f107]) ).

fof(f2577,plain,
    ( xu = xv
    | sdtmndtplgtdt0(xu,xR,xv)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2576,f100]) ).

fof(f2576,plain,
    ( xu = xv
    | sdtmndtplgtdt0(xu,xR,xv)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1778,f104]) ).

fof(f1778,plain,
    ( xu = xv
    | sdtmndtplgtdt0(xu,xR,xv)
    | ~ aElement0(xv)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(resolution,[],[f1712,f167]) ).

fof(f2575,plain,
    ( xc = xu
    | sdtmndtplgtdt0(xu,xR,xc)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2574,f107]) ).

fof(f2574,plain,
    ( xc = xu
    | sdtmndtplgtdt0(xu,xR,xc)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2573,f100]) ).

fof(f2573,plain,
    ( xc = xu
    | sdtmndtplgtdt0(xu,xR,xc)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1825,f115]) ).

fof(f1825,plain,
    ( xc = xu
    | sdtmndtplgtdt0(xu,xR,xc)
    | ~ aElement0(xc)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(resolution,[],[f1779,f167]) ).

fof(f2554,plain,
    ( ! [X0] :
        ( ~ iLess0(xv,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1798,f104]) ).

fof(f1798,plain,
    ( ! [X0] :
        ( ~ iLess0(xv,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f1785]) ).

fof(f1785,plain,
    ( ! [X0] :
        ( ~ iLess0(xv,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aElement0(xv) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1713,f119]) ).

fof(f2556,plain,
    ( ! [X0] :
        ( ~ iLess0(xv,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1799,f104]) ).

fof(f1799,plain,
    ( ! [X0] :
        ( ~ iLess0(xv,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f1784]) ).

fof(f1784,plain,
    ( ! [X0] :
        ( ~ iLess0(xv,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aElement0(xv) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1713,f120]) ).

fof(f2486,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | xv = X0
        | sdtmndtplgtdt0(X0,xR,xv) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2485,f100]) ).

fof(f2485,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | xv = X0
        | sdtmndtplgtdt0(X0,xR,xv)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2461,f104]) ).

fof(f2461,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | xv = X0
        | sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f2460]) ).

fof(f2460,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | xv = X0
        | sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1717,f167]) ).

fof(f2484,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xv)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2483,f100]) ).

fof(f2483,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xv)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2462,f104]) ).

fof(f2462,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xv)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f2459]) ).

fof(f2459,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xv)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1717,f171]) ).

fof(f2475,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | ~ iLess0(X0,xa)
        | aElement0(sK8(X1,xv))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2467,f104]) ).

fof(f2467,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | ~ iLess0(X0,xa)
        | aElement0(sK8(X1,xv))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xv)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f2446]) ).

fof(f2446,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | ~ iLess0(X0,xa)
        | aElement0(sK8(X1,xv))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xv)
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1717,f118]) ).

fof(f2474,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(X1,xR,sK8(X1,xv))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2468,f104]) ).

fof(f2468,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(X1,xR,sK8(X1,xv))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xv)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f2445]) ).

fof(f2445,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(X1,xR,sK8(X1,xv))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xv)
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1717,f119]) ).

fof(f2473,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X1,xv))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2469,f104]) ).

fof(f2469,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X1,xv))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xv)
        | ~ aElement0(X1) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f2444]) ).

fof(f2444,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | ~ iLess0(X0,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X1,xv))
        | ~ sdtmndtasgtdt0(X0,xR,X1)
        | ~ aElement0(xv)
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1717,f120]) ).

fof(f2472,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | aElement0(sK8(xv,X0))
        | ~ iLess0(X0,xa) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2470,f104]) ).

fof(f2470,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | aElement0(sK8(xv,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(xv) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f2443]) ).

fof(f2443,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | aElement0(sK8(xv,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ aElement0(xv) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1717,f697]) ).

fof(f1717,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(superposition,[],[f605,f567]) ).

fof(f2347,plain,
    ( ! [X0] :
        ( aElement0(sK8(xv,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,xv) )
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f2346,f567]) ).

fof(f2346,plain,
    ! [X0] :
      ( aElement0(sK8(xw,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xv) ),
    inference(subsumption_resolution,[],[f2338,f110]) ).

fof(f2338,plain,
    ! [X0] :
      ( aElement0(sK8(xw,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(xw)
      | ~ sdtmndtasgtdt0(X0,xR,xv) ),
    inference(duplicate_literal_removal,[],[f2311]) ).

fof(f2311,plain,
    ! [X0] :
      ( aElement0(sK8(xw,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(xw)
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f697,f599]) ).

fof(f2345,plain,
    ( ! [X0] :
        ( aElement0(sK8(xv,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f2344,f567]) ).

fof(f2344,plain,
    ! [X0] :
      ( aElement0(sK8(xw,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,xu) ),
    inference(subsumption_resolution,[],[f2339,f110]) ).

fof(f2339,plain,
    ! [X0] :
      ( aElement0(sK8(xw,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(xw)
      | ~ sdtmndtasgtdt0(X0,xR,xu) ),
    inference(duplicate_literal_removal,[],[f2310]) ).

fof(f2310,plain,
    ! [X0] :
      ( aElement0(sK8(xw,X0))
      | ~ iLess0(X0,xa)
      | ~ aElement0(X0)
      | ~ aElement0(xw)
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f697,f605]) ).

fof(f1828,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1827,f100]) ).

fof(f1827,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1826,f107]) ).

fof(f1826,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1824,f115]) ).

fof(f1824,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(xc)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1779,f171]) ).

fof(f1779,plain,
    ( sdtmndtasgtdt0(xu,xR,xc)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1770,f107]) ).

fof(f1770,plain,
    ( sdtmndtasgtdt0(xu,xR,xc)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(resolution,[],[f1712,f596]) ).

fof(f1713,plain,
    ( sdtmndtasgtdt0(xv,xR,xv)
    | ~ spl22_14 ),
    inference(superposition,[],[f112,f567]) ).

fof(f1782,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1781,f100]) ).

fof(f1781,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1780,f107]) ).

fof(f1780,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1777,f104]) ).

fof(f1777,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(xv)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1712,f171]) ).

fof(f1769,plain,
    ( sdtmndtasgtdt0(xv,xR,xd)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1768,f104]) ).

fof(f1768,plain,
    ( sdtmndtasgtdt0(xv,xR,xd)
    | ~ aElement0(xv)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1766,f100]) ).

fof(f1766,plain,
    ( sdtmndtasgtdt0(xv,xR,xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | ~ spl22_14 ),
    inference(resolution,[],[f1710,f156]) ).

fof(f1710,plain,
    ( aNormalFormOfIn0(xd,xv,xR)
    | ~ spl22_14 ),
    inference(superposition,[],[f101,f567]) ).

fof(f1428,plain,
    ( xc = xu
    | sdtmndtplgtdt0(xu,xR,xc)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1427,f107]) ).

fof(f1427,plain,
    ( xc = xu
    | sdtmndtplgtdt0(xu,xR,xc)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1426,f100]) ).

fof(f1426,plain,
    ( xc = xu
    | sdtmndtplgtdt0(xu,xR,xc)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1416,f115]) ).

fof(f1416,plain,
    ( xc = xu
    | sdtmndtplgtdt0(xu,xR,xc)
    | ~ aElement0(xc)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(resolution,[],[f1372,f167]) ).

fof(f1425,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1424,f100]) ).

fof(f1424,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1423,f107]) ).

fof(f1423,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1415,f115]) ).

fof(f1415,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xc)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(xc)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1372,f171]) ).

fof(f1422,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1421,f107]) ).

fof(f1421,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1411,f115]) ).

fof(f1411,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xc)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1372,f118]) ).

fof(f1420,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1419,f107]) ).

fof(f1419,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1410,f115]) ).

fof(f1410,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xc)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1372,f119]) ).

fof(f1418,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1417,f107]) ).

fof(f1417,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1409,f115]) ).

fof(f1409,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xc)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1372,f120]) ).

fof(f1372,plain,
    ( sdtmndtasgtdt0(xu,xR,xc)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1363,f107]) ).

fof(f1363,plain,
    ( sdtmndtasgtdt0(xu,xR,xc)
    | ~ aElement0(xu)
    | ~ spl22_14 ),
    inference(resolution,[],[f1250,f596]) ).

fof(f1381,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1380,f100]) ).

fof(f1380,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1379,f107]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1370,f104]) ).

fof(f1370,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(xv)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1250,f171]) ).

fof(f1378,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1377,f107]) ).

fof(f1377,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1366,f104]) ).

fof(f1366,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1250,f118]) ).

fof(f1376,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1375,f107]) ).

fof(f1375,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1365,f104]) ).

fof(f1365,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1250,f119]) ).

fof(f1374,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1373,f107]) ).

fof(f1373,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1364,f104]) ).

fof(f1364,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1250,f120]) ).

fof(f1250,plain,
    ( sdtmndtasgtdt0(xu,xR,xv)
    | ~ spl22_14 ),
    inference(superposition,[],[f111,f567]) ).

fof(f1271,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xv)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(superposition,[],[f605,f567]) ).

fof(f1251,plain,
    ( sdtmndtasgtdt0(xv,xR,xv)
    | ~ spl22_14 ),
    inference(superposition,[],[f112,f567]) ).

fof(f5869,plain,
    ( ~ spl22_14
    | ~ spl22_17
    | ~ spl22_31
    | spl22_42 ),
    inference(avatar_contradiction_clause,[],[f5868]) ).

fof(f5868,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_17
    | ~ spl22_31
    | spl22_42 ),
    inference(subsumption_resolution,[],[f5867,f5718]) ).

fof(f5718,plain,
    ( sdtmndtplgtdt0(xu,xR,xv)
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f637,f567]) ).

fof(f637,plain,
    ( sdtmndtplgtdt0(xu,xR,xw)
    | ~ spl22_17 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl22_17
  <=> sdtmndtplgtdt0(xu,xR,xw) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).

fof(f5867,plain,
    ( ~ sdtmndtplgtdt0(xu,xR,xv)
    | ~ spl22_31
    | spl22_42 ),
    inference(subsumption_resolution,[],[f5866,f107]) ).

fof(f5866,plain,
    ( ~ aElement0(xu)
    | ~ sdtmndtplgtdt0(xu,xR,xv)
    | ~ spl22_31
    | spl22_42 ),
    inference(subsumption_resolution,[],[f5865,f2363]) ).

fof(f2363,plain,
    ( ~ aElement0(sK8(xc,xb))
    | spl22_42 ),
    inference(avatar_component_clause,[],[f2362]) ).

fof(f2362,plain,
    ( spl22_42
  <=> aElement0(sK8(xc,xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_42])]) ).

fof(f5865,plain,
    ( aElement0(sK8(xc,xb))
    | ~ aElement0(xu)
    | ~ sdtmndtplgtdt0(xu,xR,xv)
    | ~ spl22_31 ),
    inference(subsumption_resolution,[],[f5836,f115]) ).

fof(f5836,plain,
    ( ~ aElement0(xc)
    | aElement0(sK8(xc,xb))
    | ~ aElement0(xu)
    | ~ sdtmndtplgtdt0(xu,xR,xv)
    | ~ spl22_31 ),
    inference(resolution,[],[f1598,f813]) ).

fof(f5858,plain,
    ( ~ spl22_14
    | ~ spl22_31
    | spl22_42 ),
    inference(avatar_contradiction_clause,[],[f5857]) ).

fof(f5857,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_31
    | spl22_42 ),
    inference(subsumption_resolution,[],[f5856,f2363]) ).

fof(f5856,plain,
    ( aElement0(sK8(xc,xb))
    | ~ spl22_14
    | ~ spl22_31 ),
    inference(subsumption_resolution,[],[f5831,f115]) ).

fof(f5831,plain,
    ( ~ aElement0(xc)
    | aElement0(sK8(xc,xb))
    | ~ spl22_14
    | ~ spl22_31 ),
    inference(resolution,[],[f1598,f1779]) ).

fof(f5720,plain,
    ( spl22_26
    | ~ spl22_14
    | ~ spl22_19 ),
    inference(avatar_split_clause,[],[f1277,f901,f565,f1477]) ).

fof(f1477,plain,
    ( spl22_26
  <=> iLess0(xv,xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_26])]) ).

fof(f901,plain,
    ( spl22_19
  <=> iLess0(xw,xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).

fof(f1277,plain,
    ( iLess0(xv,xa)
    | ~ spl22_14
    | ~ spl22_19 ),
    inference(superposition,[],[f902,f567]) ).

fof(f902,plain,
    ( iLess0(xw,xa)
    | ~ spl22_19 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f5719,plain,
    ( spl22_26
    | ~ spl22_14
    | ~ spl22_19 ),
    inference(avatar_split_clause,[],[f5586,f901,f565,f1477]) ).

fof(f5586,plain,
    ( iLess0(xv,xa)
    | ~ spl22_14
    | ~ spl22_19 ),
    inference(forward_demodulation,[],[f902,f567]) ).

fof(f5589,plain,
    ( ~ spl22_14
    | ~ spl22_18
    | ~ spl22_19
    | ~ spl22_32
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5588]) ).

fof(f5588,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_19
    | ~ spl22_32
    | spl22_36 ),
    inference(global_subsumption,[],[f5587,f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f359,f375,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5416,f5419,f5424,f5437,f5441,f5446,f5449,f5474,f5478,f5501,f1040,f5520,f965,f5535,f5539,f5542,f5546,f5550,f5554,f5559,f5564,f5569,f5573,f1601]) ).

fof(f5573,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5572,f2581]) ).

fof(f5569,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xu,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5568,f2581]) ).

fof(f5568,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f5567,f107]) ).

fof(f5567,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1771,f104]) ).

fof(f1771,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1712,f120]) ).

fof(f5564,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5563,f2581]) ).

fof(f5563,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f5562,f107]) ).

fof(f5562,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1772,f104]) ).

fof(f1772,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1712,f119]) ).

fof(f5559,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5558,f2581]) ).

fof(f5558,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f5557,f107]) ).

fof(f5557,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1773,f104]) ).

fof(f1773,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_14 ),
    inference(resolution,[],[f1712,f118]) ).

fof(f5546,plain,
    ( ~ iLess0(xu,xa)
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(subsumption_resolution,[],[f5545,f114]) ).

fof(f5545,plain,
    ( ~ iLess0(xu,xa)
    | ~ aElement0(xb)
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(subsumption_resolution,[],[f5544,f107]) ).

fof(f5544,plain,
    ( ~ iLess0(xu,xa)
    | ~ aElement0(xu)
    | ~ aElement0(xb)
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(subsumption_resolution,[],[f2315,f2639]) ).

fof(f5539,plain,
    ( aElement0(sK8(xu,xu))
    | ~ iLess0(xu,xa)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5538,f2581]) ).

fof(f5538,plain,
    ( aElement0(sK8(xv,xu))
    | ~ iLess0(xu,xa)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f5537,f104]) ).

fof(f5537,plain,
    ( aElement0(sK8(xv,xu))
    | ~ iLess0(xu,xa)
    | ~ aElement0(xv)
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2317,f107]) ).

fof(f2317,plain,
    ( aElement0(sK8(xv,xu))
    | ~ iLess0(xu,xa)
    | ~ aElement0(xu)
    | ~ aElement0(xv)
    | ~ spl22_14 ),
    inference(resolution,[],[f697,f1712]) ).

fof(f5535,plain,
    ( aElement0(sK8(xu,xu))
    | ~ iLess0(xu,xa)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5534,f2581]) ).

fof(f5534,plain,
    ( aElement0(sK8(xv,xu))
    | ~ iLess0(xu,xa)
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f5533,f567]) ).

fof(f5533,plain,
    ( aElement0(sK8(xw,xu))
    | ~ iLess0(xu,xa) ),
    inference(subsumption_resolution,[],[f5532,f110]) ).

fof(f5532,plain,
    ( aElement0(sK8(xw,xu))
    | ~ iLess0(xu,xa)
    | ~ aElement0(xw) ),
    inference(subsumption_resolution,[],[f2318,f107]) ).

fof(f2318,plain,
    ( aElement0(sK8(xw,xu))
    | ~ iLess0(xu,xa)
    | ~ aElement0(xu)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f697,f111]) ).

fof(f5520,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5519,f2581]) ).

fof(f5519,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f967,f567]) ).

fof(f5501,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xu,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5500,f2581]) ).

fof(f5500,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f1042,f567]) ).

fof(f5478,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(xu,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5477,f2581]) ).

fof(f5477,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xu,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5476,f2581]) ).

fof(f5476,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f2556,f2581]) ).

fof(f5474,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5473,f2581]) ).

fof(f5473,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5472,f2581]) ).

fof(f5472,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f2554,f2581]) ).

fof(f5449,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5448,f2581]) ).

fof(f5448,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f969,f2581]) ).

fof(f5446,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5445,f2581]) ).

fof(f5445,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5444,f2581]) ).

fof(f5444,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5443,f567]) ).

fof(f5443,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f971,f2581]) ).

fof(f5441,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xu))
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5440,f2581]) ).

fof(f5440,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | aElement0(sK8(X0,xu))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5439,f2581]) ).

fof(f5439,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xu))
        | ~ iLess0(xv,xa)
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f2560,f2581]) ).

fof(f2560,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xv))
        | ~ iLess0(xv,xa)
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f684,f567]) ).

fof(f5437,plain,
    ( ~ iLess0(xu,xa)
    | aElement0(sK8(xu,xu))
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5436,f2581]) ).

fof(f5436,plain,
    ( aElement0(sK8(xu,xu))
    | ~ iLess0(xv,xa)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f2535,f2581]) ).

fof(f2535,plain,
    ( aElement0(sK8(xv,xv))
    | ~ iLess0(xv,xa)
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f2534,f567]) ).

fof(f2534,plain,
    ( aElement0(sK8(xw,xv))
    | ~ iLess0(xv,xa) ),
    inference(subsumption_resolution,[],[f2533,f110]) ).

fof(f2533,plain,
    ( aElement0(sK8(xw,xv))
    | ~ iLess0(xv,xa)
    | ~ aElement0(xw) ),
    inference(subsumption_resolution,[],[f2321,f104]) ).

fof(f2321,plain,
    ( aElement0(sK8(xw,xv))
    | ~ iLess0(xv,xa)
    | ~ aElement0(xv)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f697,f112]) ).

fof(f5424,plain,
    ( ~ iLess0(xu,xa)
    | aElement0(sK8(xc,xu))
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5423,f2581]) ).

fof(f5423,plain,
    ( aElement0(sK8(xc,xu))
    | ~ iLess0(xv,xa)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5422,f2581]) ).

fof(f5422,plain,
    ( aElement0(sK8(xc,xv))
    | ~ iLess0(xv,xa) ),
    inference(subsumption_resolution,[],[f5421,f115]) ).

fof(f5421,plain,
    ( aElement0(sK8(xc,xv))
    | ~ iLess0(xv,xa)
    | ~ aElement0(xc) ),
    inference(subsumption_resolution,[],[f2319,f104]) ).

fof(f2319,plain,
    ( aElement0(sK8(xc,xv))
    | ~ iLess0(xv,xa)
    | ~ aElement0(xv)
    | ~ aElement0(xc) ),
    inference(resolution,[],[f697,f106]) ).

fof(f5419,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5418,f2581]) ).

fof(f5418,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f1044,f2581]) ).

fof(f5416,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(xu,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5415,f2581]) ).

fof(f5415,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xu,xR,sK8(X0,xu))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5414,f2581]) ).

fof(f5414,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ iLess0(xu,xa)
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5413,f567]) ).

fof(f5413,plain,
    ( ! [X0] :
        ( ~ iLess0(xu,xa)
        | sdtmndtasgtdt0(xw,xR,sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f1046,f2581]) ).

fof(f5334,plain,
    ( ! [X0] :
        ( aElement0(sK8(xc,sK21(xu,xR,X0)))
        | ~ iLess0(sK21(xu,xR,X0),xa)
        | aReductOfIn0(xu,X0,xR)
        | ~ sP6(xu,xR,X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f5331,f161]) ).

fof(f5331,plain,
    ( ! [X0] :
        ( aElement0(sK8(xc,sK21(xu,xR,X0)))
        | ~ iLess0(sK21(xu,xR,X0),xa)
        | ~ aElement0(sK21(xu,xR,X0))
        | aReductOfIn0(xu,X0,xR)
        | ~ sP6(xu,xR,X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f4683,f163]) ).

fof(f5333,plain,
    ( ! [X0] :
        ( aElement0(sK8(xc,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f5332,f100]) ).

fof(f5332,plain,
    ( ! [X0] :
        ( aElement0(sK8(xc,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f5330]) ).

fof(f5330,plain,
    ( ! [X0] :
        ( aElement0(sK8(xc,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f4683,f355]) ).

fof(f4683,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | aElement0(sK8(xc,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f2343,f2581]) ).

fof(f5329,plain,
    ( ! [X0] :
        ( aElement0(sK8(xu,sK21(xu,xR,X0)))
        | ~ iLess0(sK21(xu,xR,X0),xa)
        | aReductOfIn0(xu,X0,xR)
        | ~ sP6(xu,xR,X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f5326,f161]) ).

fof(f5326,plain,
    ( ! [X0] :
        ( ~ aElement0(sK21(xu,xR,X0))
        | aElement0(sK8(xu,sK21(xu,xR,X0)))
        | ~ iLess0(sK21(xu,xR,X0),xa)
        | aReductOfIn0(xu,X0,xR)
        | ~ sP6(xu,xR,X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f4677,f163]) ).

fof(f5328,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | aElement0(sK8(xu,X0))
        | ~ iLess0(X0,xa)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f5327,f100]) ).

fof(f5327,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | aElement0(sK8(xu,X0))
        | ~ iLess0(X0,xa)
        | ~ aRewritingSystem0(xR)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f5325]) ).

fof(f5325,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | aElement0(sK8(xu,X0))
        | ~ iLess0(X0,xa)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f4677,f355]) ).

fof(f4677,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | aElement0(sK8(xu,X0))
        | ~ iLess0(X0,xa) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f4676,f100]) ).

fof(f4676,plain,
    ( ! [X0] :
        ( ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | aElement0(sK8(xu,X0))
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f4674,f107]) ).

fof(f4674,plain,
    ( ! [X0] :
        ( ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | aElement0(sK8(xu,X0))
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f4673]) ).

fof(f4673,plain,
    ( ! [X0] :
        ( ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | aElement0(sK8(xu,X0))
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f4663,f169]) ).

fof(f4832,plain,
    ( aNormalFormOfIn0(xc,xu,xR)
    | aElement0(sK20(xR,xc))
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4831,f2581]) ).

fof(f4831,plain,
    ( aNormalFormOfIn0(xc,xv,xR)
    | aElement0(sK20(xR,xc)) ),
    inference(subsumption_resolution,[],[f4830,f104]) ).

fof(f4830,plain,
    ( aNormalFormOfIn0(xc,xv,xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,xc)) ),
    inference(subsumption_resolution,[],[f4829,f100]) ).

fof(f4829,plain,
    ( aNormalFormOfIn0(xc,xv,xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,xc)) ),
    inference(subsumption_resolution,[],[f4713,f115]) ).

fof(f4713,plain,
    ( aNormalFormOfIn0(xc,xv,xR)
    | ~ aElement0(xc)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,xc)) ),
    inference(resolution,[],[f491,f106]) ).

fof(f4822,plain,
    ( aElement0(sK20(xR,xu))
    | aNormalFormOfIn0(xu,xu,xR)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4821,f2581]) ).

fof(f4821,plain,
    ( aElement0(sK20(xR,xv))
    | aNormalFormOfIn0(xu,xu,xR)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4820,f567]) ).

fof(f4820,plain,
    ( aNormalFormOfIn0(xu,xu,xR)
    | aElement0(sK20(xR,xw))
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4819,f2581]) ).

fof(f4819,plain,
    ( aNormalFormOfIn0(xv,xu,xR)
    | aElement0(sK20(xR,xw))
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f4818,f567]) ).

fof(f4818,plain,
    ( aNormalFormOfIn0(xw,xu,xR)
    | aElement0(sK20(xR,xw)) ),
    inference(subsumption_resolution,[],[f4817,f107]) ).

fof(f4817,plain,
    ( aNormalFormOfIn0(xw,xu,xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xw)) ),
    inference(subsumption_resolution,[],[f4816,f100]) ).

fof(f4816,plain,
    ( aNormalFormOfIn0(xw,xu,xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xw)) ),
    inference(subsumption_resolution,[],[f4709,f110]) ).

fof(f4709,plain,
    ( aNormalFormOfIn0(xw,xu,xR)
    | ~ aElement0(xw)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xw)) ),
    inference(resolution,[],[f491,f111]) ).

fof(f4844,plain,
    ( aElement0(sK20(xR,xu))
    | aNormalFormOfIn0(xu,xu,xR)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4843,f2581]) ).

fof(f4843,plain,
    ( aElement0(sK20(xR,xv))
    | aNormalFormOfIn0(xu,xu,xR)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4842,f567]) ).

fof(f4842,plain,
    ( aNormalFormOfIn0(xu,xu,xR)
    | aElement0(sK20(xR,xw))
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4841,f2581]) ).

fof(f4841,plain,
    ( aNormalFormOfIn0(xv,xu,xR)
    | aElement0(sK20(xR,xw))
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4840,f567]) ).

fof(f4840,plain,
    ( aNormalFormOfIn0(xw,xu,xR)
    | aElement0(sK20(xR,xw))
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4839,f2581]) ).

fof(f4839,plain,
    ( aNormalFormOfIn0(xw,xv,xR)
    | aElement0(sK20(xR,xw)) ),
    inference(subsumption_resolution,[],[f4838,f104]) ).

fof(f4838,plain,
    ( aNormalFormOfIn0(xw,xv,xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,xw)) ),
    inference(subsumption_resolution,[],[f4837,f100]) ).

fof(f4837,plain,
    ( aNormalFormOfIn0(xw,xv,xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,xw)) ),
    inference(subsumption_resolution,[],[f4715,f110]) ).

fof(f4715,plain,
    ( aNormalFormOfIn0(xw,xv,xR)
    | ~ aElement0(xw)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,xw)) ),
    inference(resolution,[],[f491,f112]) ).

fof(f4836,plain,
    ( aElement0(sK20(xR,xu))
    | aNormalFormOfIn0(xu,xu,xR)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4835,f2581]) ).

fof(f4835,plain,
    ( aNormalFormOfIn0(xu,xu,xR)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4834,f2581]) ).

fof(f4834,plain,
    ( aNormalFormOfIn0(xv,xv,xR)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4833,f100]) ).

fof(f4833,plain,
    ( aNormalFormOfIn0(xv,xv,xR)
    | ~ aRewritingSystem0(xR)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4732,f104]) ).

fof(f4732,plain,
    ( aNormalFormOfIn0(xv,xv,xR)
    | ~ aElement0(xv)
    | ~ aRewritingSystem0(xR)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f4714]) ).

fof(f4714,plain,
    ( aNormalFormOfIn0(xv,xv,xR)
    | ~ aElement0(xv)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14 ),
    inference(resolution,[],[f491,f1713]) ).

fof(f4815,plain,
    ( aElement0(sK20(xR,xu))
    | aNormalFormOfIn0(xu,xu,xR)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4814,f2581]) ).

fof(f4814,plain,
    ( aNormalFormOfIn0(xu,xu,xR)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4813,f2581]) ).

fof(f4813,plain,
    ( aNormalFormOfIn0(xv,xu,xR)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4812,f107]) ).

fof(f4812,plain,
    ( aNormalFormOfIn0(xv,xu,xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4811,f100]) ).

fof(f4811,plain,
    ( aNormalFormOfIn0(xv,xu,xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4708,f104]) ).

fof(f4708,plain,
    ( aNormalFormOfIn0(xv,xu,xR)
    | ~ aElement0(xv)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xv))
    | ~ spl22_14 ),
    inference(resolution,[],[f491,f1712]) ).

fof(f4810,plain,
    ( aNormalFormOfIn0(xu,xu,xR)
    | aElement0(sK20(xR,xu))
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f4809,f100]) ).

fof(f4809,plain,
    ( aNormalFormOfIn0(xu,xu,xR)
    | ~ aRewritingSystem0(xR)
    | aElement0(sK20(xR,xu))
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f4733,f107]) ).

fof(f4733,plain,
    ( aNormalFormOfIn0(xu,xu,xR)
    | ~ aElement0(xu)
    | ~ aRewritingSystem0(xR)
    | aElement0(sK20(xR,xu))
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f4707]) ).

fof(f4707,plain,
    ( aNormalFormOfIn0(xu,xu,xR)
    | ~ aElement0(xu)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | aElement0(sK20(xR,xu))
    | ~ spl22_18 ),
    inference(resolution,[],[f491,f2584]) ).

fof(f4774,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | aElement0(sK20(xR,xu))
        | aNormalFormOfIn0(xu,X0,xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4773,f2581]) ).

fof(f4773,plain,
    ( ! [X0] :
        ( aElement0(sK20(xR,xu))
        | aNormalFormOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,xv) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4772,f2581]) ).

fof(f4772,plain,
    ( ! [X0] :
        ( aElement0(sK20(xR,xv))
        | aNormalFormOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,xv) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4771,f567]) ).

fof(f4771,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xw))
        | ~ sdtmndtasgtdt0(X0,xR,xv) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4770,f2581]) ).

fof(f4770,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xv,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xw))
        | ~ sdtmndtasgtdt0(X0,xR,xv) )
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f4769,f567]) ).

fof(f4769,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xw,X0,xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xw))
      | ~ sdtmndtasgtdt0(X0,xR,xv) ),
    inference(subsumption_resolution,[],[f4768,f100]) ).

fof(f4768,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xw,X0,xR)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xw))
      | ~ sdtmndtasgtdt0(X0,xR,xv) ),
    inference(subsumption_resolution,[],[f4745,f110]) ).

fof(f4745,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xw,X0,xR)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xw))
      | ~ sdtmndtasgtdt0(X0,xR,xv) ),
    inference(duplicate_literal_removal,[],[f4692]) ).

fof(f4692,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xw,X0,xR)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xw))
      | ~ sdtmndtasgtdt0(X0,xR,xv)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f491,f599]) ).

fof(f4767,plain,
    ( ! [X0] :
        ( aElement0(sK20(xR,xu))
        | aNormalFormOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4766,f2581]) ).

fof(f4766,plain,
    ( ! [X0] :
        ( aElement0(sK20(xR,xv))
        | aNormalFormOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4765,f567]) ).

fof(f4765,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xw))
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4764,f2581]) ).

fof(f4764,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xv,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xw))
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f4763,f567]) ).

fof(f4763,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xw,X0,xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xw))
      | ~ sdtmndtasgtdt0(X0,xR,xu) ),
    inference(subsumption_resolution,[],[f4762,f100]) ).

fof(f4762,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xw,X0,xR)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xw))
      | ~ sdtmndtasgtdt0(X0,xR,xu) ),
    inference(subsumption_resolution,[],[f4746,f110]) ).

fof(f4746,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xw,X0,xR)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xw))
      | ~ sdtmndtasgtdt0(X0,xR,xu) ),
    inference(duplicate_literal_removal,[],[f4691]) ).

fof(f4691,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xw,X0,xR)
      | ~ aElement0(xw)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xw))
      | ~ sdtmndtasgtdt0(X0,xR,xu)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f491,f605]) ).

fof(f4761,plain,
    ( ! [X0] :
        ( aElement0(sK20(xR,xu))
        | aNormalFormOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4760,f2581]) ).

fof(f4760,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xv))
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4759,f2581]) ).

fof(f4759,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xv,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xv))
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4758,f100]) ).

fof(f4758,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xv,X0,xR)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xv))
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4747,f104]) ).

fof(f4747,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xv,X0,xR)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xv))
        | ~ sdtmndtasgtdt0(X0,xR,xu) )
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f4690]) ).

fof(f4690,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xv,X0,xR)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xv))
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14 ),
    inference(resolution,[],[f491,f1717]) ).

fof(f4757,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | aNormalFormOfIn0(xc,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xc)) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4756,f2581]) ).

fof(f4756,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xc,X0,xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xc))
      | ~ sdtmndtplgtdt0(X0,xR,xv) ),
    inference(subsumption_resolution,[],[f4755,f100]) ).

fof(f4755,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xc,X0,xR)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xc))
      | ~ sdtmndtplgtdt0(X0,xR,xv) ),
    inference(subsumption_resolution,[],[f4748,f115]) ).

fof(f4748,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xc,X0,xR)
      | ~ aElement0(xc)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xc))
      | ~ sdtmndtplgtdt0(X0,xR,xv) ),
    inference(duplicate_literal_removal,[],[f4689]) ).

fof(f4689,plain,
    ! [X0] :
      ( aNormalFormOfIn0(xc,X0,xR)
      | ~ aElement0(xc)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(X0)
      | aElement0(sK20(xR,xc))
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,xv) ),
    inference(resolution,[],[f491,f813]) ).

fof(f4663,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | aElement0(sK8(xu,X0)) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f2345,f2581]) ).

fof(f4658,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | xu = X0
        | sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4657,f2581]) ).

fof(f4657,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | xu = X0
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4656,f567]) ).

fof(f4656,plain,
    ( ! [X0] :
        ( xu = X0
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X0,xR,xw) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4655,f2581]) ).

fof(f4655,plain,
    ( ! [X0] :
        ( xv = X0
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X0,xR,xw) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4654,f567]) ).

fof(f4654,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | xw = X0
        | sdtmndtplgtdt0(X0,xR,xw) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f839,f2581]) ).

fof(f4665,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | aElement0(sK8(xu,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4664,f2581]) ).

fof(f4664,plain,
    ( ! [X0] :
        ( aElement0(sK8(xu,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,xv) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f2347,f2581]) ).

fof(f4662,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xu)
        | xu = X0
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4661,f2581]) ).

fof(f4661,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | xu = X0
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4660,f567]) ).

fof(f4660,plain,
    ( ! [X0] :
        ( xu = X0
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X0,xR,xw) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4659,f2581]) ).

fof(f4659,plain,
    ( ! [X0] :
        ( xv = X0
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X0,xR,xw) )
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f878,f567]) ).

fof(f2586,plain,
    ( sdtmndtasgtdt0(xu,xR,xd)
    | ~ spl22_18 ),
    inference(superposition,[],[f208,f641]) ).

fof(f2584,plain,
    ( sdtmndtasgtdt0(xu,xR,xu)
    | ~ spl22_18 ),
    inference(superposition,[],[f111,f641]) ).

fof(f2678,plain,
    ( sdtmndtasgtdt0(xu,xR,xd)
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f2677,f107]) ).

fof(f2677,plain,
    ( sdtmndtasgtdt0(xu,xR,xd)
    | ~ aElement0(xu)
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f2675,f100]) ).

fof(f2675,plain,
    ( sdtmndtasgtdt0(xu,xR,xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | ~ spl22_18 ),
    inference(resolution,[],[f2582,f156]) ).

fof(f2582,plain,
    ( aNormalFormOfIn0(xd,xu,xR)
    | ~ spl22_18 ),
    inference(superposition,[],[f101,f641]) ).

fof(f2639,plain,
    ( ~ aElement0(sK8(xb,xu))
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(superposition,[],[f1978,f2581]) ).

fof(f2622,plain,
    ( sdtmndtasgtdt0(xu,xR,xd)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(superposition,[],[f1714,f2581]) ).

fof(f2621,plain,
    ( sdtmndtasgtdt0(xu,xR,xu)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(superposition,[],[f1713,f2581]) ).

fof(f2620,plain,
    ( sdtmndtasgtdt0(xu,xR,xu)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(superposition,[],[f1712,f2581]) ).

fof(f2619,plain,
    ( aNormalFormOfIn0(xd,xu,xR)
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(superposition,[],[f1710,f2581]) ).

fof(f2610,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X0,xR,xc)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(superposition,[],[f596,f2581]) ).

fof(f2581,plain,
    ( xu = xv
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(superposition,[],[f641,f567]) ).

fof(f2589,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xu)
        | ~ sdtmndtasgtdt0(X0,xR,xv)
        | ~ aElement0(X0) )
    | ~ spl22_18 ),
    inference(superposition,[],[f599,f641]) ).

fof(f2588,plain,
    ( xu = xv
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(superposition,[],[f567,f641]) ).

fof(f2585,plain,
    ( sdtmndtasgtdt0(xv,xR,xu)
    | ~ spl22_18 ),
    inference(superposition,[],[f112,f641]) ).

fof(f641,plain,
    ( xu = xw
    | ~ spl22_18 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f639,plain,
    ( spl22_18
  <=> xu = xw ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).

fof(f5587,plain,
    ( iLess0(xu,xa)
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_19 ),
    inference(forward_demodulation,[],[f5586,f2581]) ).

fof(f5585,plain,
    ( ~ spl22_14
    | ~ spl22_18
    | ~ spl22_19
    | ~ spl22_32
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5584]) ).

fof(f5584,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_19
    | ~ spl22_32
    | spl22_36 ),
    inference(global_subsumption,[],[f5583,f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f359,f375,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5416,f5419,f5424,f5437,f5441,f5446,f5449,f5474,f5478,f5501,f1040,f5520,f965,f5535,f5539,f5542,f5546,f5550,f5554,f5559,f5564,f5569,f5573,f1601]) ).

fof(f5583,plain,
    ( iLess0(xu,xa)
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_19 ),
    inference(forward_demodulation,[],[f1277,f2581]) ).

fof(f5582,plain,
    ( ~ spl22_14
    | ~ spl22_18
    | ~ spl22_26
    | ~ spl22_32
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5581]) ).

fof(f5581,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_26
    | ~ spl22_32
    | spl22_36 ),
    inference(global_subsumption,[],[f5580,f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f359,f375,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5416,f5419,f5424,f5437,f5441,f5446,f5449,f5474,f5478,f5501,f1040,f5520,f965,f5535,f5539,f5542,f5546,f5550,f5554,f5559,f5564,f5569,f5573,f1601]) ).

fof(f5580,plain,
    ( iLess0(xu,xa)
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_26 ),
    inference(forward_demodulation,[],[f1478,f2581]) ).

fof(f1478,plain,
    ( iLess0(xv,xa)
    | ~ spl22_26 ),
    inference(avatar_component_clause,[],[f1477]) ).

fof(f5579,plain,
    ( ~ spl22_14
    | ~ spl22_18
    | ~ spl22_31
    | ~ spl22_32
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5578]) ).

fof(f5578,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_31
    | ~ spl22_32
    | spl22_36 ),
    inference(global_subsumption,[],[f1598,f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f359,f375,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5416,f5419,f5424,f5437,f5441,f5446,f5449,f5474,f5478,f5501,f1040,f5520,f965,f5535,f5539,f5542,f5546,f5550,f5554,f5559,f5564,f5569,f5573,f1601]) ).

fof(f5577,plain,
    ( ~ spl22_14
    | ~ spl22_18
    | ~ spl22_32
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5576]) ).

fof(f5576,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_32
    | spl22_36 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f359,f375,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5416,f5419,f5424,f5437,f5441,f5446,f5449,f5474,f5478,f5501,f1040,f5520,f965,f5535,f5539,f5542,f5546,f5550,f5554,f5559,f5564,f5569,f5573,f1601]) ).

fof(f5575,plain,
    ( ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5574]) ).

fof(f5574,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535,f5536,f5539,f5540,f5542,f5543,f5546,f5550,f5554,f5559,f5564,f5569,f5573]) ).

fof(f5543,plain,
    ( aElement0(sK8(xc,xu))
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535,f5536,f5539,f5540,f5542]) ).

fof(f5540,plain,
    ( aElement0(sK8(xu,xu))
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535,f5536,f5539]) ).

fof(f5536,plain,
    ( aElement0(sK8(xu,xu))
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535]) ).

fof(f5531,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965]) ).

fof(f5521,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xu))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520]) ).

fof(f5503,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xb,xR,sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040]) ).

fof(f5502,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xu,xR,sK8(X0,xu))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501]) ).

fof(f5480,plain,
    ( iLess0(xu,xa)
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f5350,f243]) ).

fof(f5350,plain,
    ( iLess0(xu,xa)
    | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f5349,f100]) ).

fof(f5349,plain,
    ( ~ aRewritingSystem0(xR)
    | iLess0(xu,xa)
    | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f5338,f113]) ).

fof(f5338,plain,
    ( ~ aElement0(xa)
    | ~ aRewritingSystem0(xR)
    | iLess0(xu,xa)
    | ~ sP4(xR) ),
    inference(resolution,[],[f392,f108]) ).

fof(f5479,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(xu,xR,sK8(X0,xu))
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478]) ).

fof(f5475,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xu))
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474]) ).

fof(f5450,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xc))
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449]) ).

fof(f5447,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xu))
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446]) ).

fof(f5442,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | aElement0(sK8(X0,xu))
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441]) ).

fof(f5438,plain,
    ( aElement0(sK8(xu,xu))
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437]) ).

fof(f5425,plain,
    ( aElement0(sK8(xc,xu))
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424]) ).

fof(f5420,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(xc,xR,sK8(X0,xc))
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419]) ).

fof(f5417,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | sdtmndtasgtdt0(xu,xR,sK8(X0,xu))
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416]) ).

fof(f5412,plain,
    ( iLess0(xu,xa)
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f5411,f2581]) ).

fof(f5411,plain,
    ( iLess0(xv,xa)
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f5345,f243]) ).

fof(f5345,plain,
    ( iLess0(xv,xa)
    | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f5344,f100]) ).

fof(f5344,plain,
    ( ~ aRewritingSystem0(xR)
    | iLess0(xv,xa)
    | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f5337,f113]) ).

fof(f5337,plain,
    ( ~ aElement0(xa)
    | ~ aRewritingSystem0(xR)
    | iLess0(xv,xa)
    | ~ sP4(xR) ),
    inference(resolution,[],[f392,f105]) ).

fof(f807,plain,
    ( ! [X0] :
        ( iLess0(xc,sK21(xa,xR,X0))
        | aReductOfIn0(xa,X0,xR)
        | ~ sP6(xa,xR,X0) )
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f805,f161]) ).

fof(f805,plain,
    ( ! [X0] :
        ( ~ aElement0(sK21(xa,xR,X0))
        | iLess0(xc,sK21(xa,xR,X0))
        | aReductOfIn0(xa,X0,xR)
        | ~ sP6(xa,xR,X0) )
    | ~ spl22_5 ),
    inference(resolution,[],[f797,f163]) ).

fof(f797,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aElement0(X0)
        | iLess0(xc,X0) )
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f796,f243]) ).

fof(f796,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | iLess0(xc,X0)
      | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f791,f115]) ).

fof(f791,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | iLess0(xc,X0)
      | ~ aElement0(xc)
      | ~ sP4(xR) ),
    inference(duplicate_literal_removal,[],[f787]) ).

fof(f787,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | iLess0(xc,X0)
      | ~ aElement0(xc)
      | ~ aElement0(X0)
      | ~ sP4(xR) ),
    inference(resolution,[],[f537,f147]) ).

fof(f784,plain,
    ( ! [X0] :
        ( iLess0(xb,sK21(xa,xR,X0))
        | aReductOfIn0(xa,X0,xR)
        | ~ sP6(xa,xR,X0) )
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f782,f161]) ).

fof(f782,plain,
    ( ! [X0] :
        ( ~ aElement0(sK21(xa,xR,X0))
        | iLess0(xb,sK21(xa,xR,X0))
        | aReductOfIn0(xa,X0,xR)
        | ~ sP6(xa,xR,X0) )
    | ~ spl22_5 ),
    inference(resolution,[],[f739,f163]) ).

fof(f739,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aElement0(X0)
        | iLess0(xb,X0) )
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f738,f243]) ).

fof(f738,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | iLess0(xb,X0)
      | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f733,f114]) ).

fof(f733,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | iLess0(xb,X0)
      | ~ aElement0(xb)
      | ~ sP4(xR) ),
    inference(duplicate_literal_removal,[],[f727]) ).

fof(f727,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(X0,xR,xa)
      | ~ aElement0(X0)
      | iLess0(xb,X0)
      | ~ aElement0(xb)
      | ~ aElement0(X0)
      | ~ sP4(xR) ),
    inference(resolution,[],[f534,f147]) ).

fof(f377,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xa,X0,xR)
        | ~ aElement0(X0)
        | iLess0(xc,X0) )
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f376,f243]) ).

fof(f376,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | iLess0(xc,X0)
      | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f374,f115]) ).

fof(f374,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | iLess0(xc,X0)
      | ~ aElement0(xc)
      | ~ sP4(xR) ),
    inference(duplicate_literal_removal,[],[f371]) ).

fof(f371,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | iLess0(xc,X0)
      | ~ aElement0(xc)
      | ~ aElement0(X0)
      | ~ sP4(xR) ),
    inference(resolution,[],[f359,f147]) ).

fof(f369,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xa,X0,xR)
        | ~ aElement0(X0)
        | iLess0(xb,X0) )
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f368,f243]) ).

fof(f368,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | iLess0(xb,X0)
      | ~ sP4(xR) ),
    inference(subsumption_resolution,[],[f366,f114]) ).

fof(f366,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | iLess0(xb,X0)
      | ~ aElement0(xb)
      | ~ sP4(xR) ),
    inference(duplicate_literal_removal,[],[f362]) ).

fof(f362,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ~ aReductOfIn0(xa,X0,xR)
      | iLess0(xb,X0)
      | ~ aElement0(xb)
      | ~ aElement0(X0)
      | ~ sP4(xR) ),
    inference(resolution,[],[f357,f147]) ).

fof(f255,plain,
    ( iLess0(xc,xa)
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f235,f243]) ).

fof(f243,plain,
    ( sP4(xR)
    | ~ spl22_5 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl22_5
  <=> sP4(xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).

fof(f5571,plain,
    ( ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5570]) ).

fof(f5570,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535,f5536,f5539,f5540,f5542,f5543,f5546,f5550,f5554,f5559,f5564,f5569]) ).

fof(f5566,plain,
    ( ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5565]) ).

fof(f5565,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535,f5536,f5539,f5540,f5542,f5543,f5546,f5550,f5554,f5559,f5564]) ).

fof(f5561,plain,
    ( ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5560]) ).

fof(f5560,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535,f5536,f5539,f5540,f5542,f5543,f5546,f5550,f5554,f5559]) ).

fof(f5556,plain,
    ( ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5555]) ).

fof(f5555,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535,f5536,f5539,f5540,f5542,f5543,f5546,f5550,f5554]) ).

fof(f5552,plain,
    ( ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5551]) ).

fof(f5551,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535,f5536,f5539,f5540,f5542,f5543,f5546,f5550]) ).

fof(f5548,plain,
    ( ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f5547]) ).

fof(f5547,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_18
    | spl22_36 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f162,f315,f295,f298,f316,f214,f344,f163,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f397,f398,f167,f431,f158,f498,f489,f170,f528,f530,f531,f540,f414,f417,f171,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f967,f969,f971,f976,f977,f120,f1037,f1038,f1042,f1044,f1046,f1057,f1058,f124,f1190,f1183,f125,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f1978,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2472,f2473,f2474,f2475,f2484,f2486,f2556,f2554,f2575,f2578,f641,f2585,f2588,f2589,f2581,f2610,f2619,f2620,f2621,f2622,f2639,f2582,f2678,f2584,f2586,f2471,f3131,f3230,f3231,f3232,f3233,f3235,f428,f3434,f3435,f3437,f430,f3500,f3501,f3503,f296,f3629,f3630,f3627,f3636,f299,f3675,f3676,f3673,f3679,f539,f3860,f3858,f611,f4004,f4006,f4007,f4008,f613,f4103,f4104,f4106,f4108,f4109,f4110,f4002,f4101,f4114,f4118,f4121,f4124,f974,f4163,f4164,f4165,f4166,f4176,f4178,f1055,f4339,f4340,f4341,f4342,f4351,f4353,f766,f4662,f348,f4665,f4658,f4663,f2342,f4681,f4682,f491,f4752,f4754,f4757,f4761,f4767,f4774,f4791,f4793,f4805,f4808,f4810,f4815,f4836,f4844,f4859,f4861,f4730,f4862,f4863,f4822,f4832,f347,f1185,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f4731,f5238,f5262,f5264,f1234,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5260,f5263,f5258,f5324,f4677,f5328,f5329,f4683,f5333,f5334,f392,f5343,f5336,f5360,f5361,f5412,f5416,f5417,f5419,f5420,f5424,f5425,f5437,f5438,f5441,f5442,f5446,f5447,f5449,f5450,f5474,f5475,f5478,f5479,f5480,f5501,f5502,f1040,f5503,f5520,f5521,f965,f5531,f5535,f5536,f5539,f5540,f5542,f5543,f5546]) ).

fof(f5353,plain,
    ( ~ spl22_5
    | spl22_32 ),
    inference(avatar_contradiction_clause,[],[f5352]) ).

fof(f5352,plain,
    ( $false
    | ~ spl22_5
    | spl22_32 ),
    inference(subsumption_resolution,[],[f5351,f243]) ).

fof(f5351,plain,
    ( ~ sP4(xR)
    | spl22_32 ),
    inference(subsumption_resolution,[],[f5350,f1602]) ).

fof(f1602,plain,
    ( ~ iLess0(xu,xa)
    | spl22_32 ),
    inference(avatar_component_clause,[],[f1600]) ).

fof(f5348,plain,
    ( ~ spl22_5
    | spl22_26 ),
    inference(avatar_contradiction_clause,[],[f5347]) ).

fof(f5347,plain,
    ( $false
    | ~ spl22_5
    | spl22_26 ),
    inference(subsumption_resolution,[],[f5346,f243]) ).

fof(f5346,plain,
    ( ~ sP4(xR)
    | spl22_26 ),
    inference(subsumption_resolution,[],[f5345,f1479]) ).

fof(f1479,plain,
    ( ~ iLess0(xv,xa)
    | spl22_26 ),
    inference(avatar_component_clause,[],[f1477]) ).

fof(f5130,plain,
    ( spl22_92
    | spl22_93
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(avatar_split_clause,[],[f4787,f639,f565,f187,f5128,f5124]) ).

fof(f5124,plain,
    ( spl22_92
  <=> aElement0(sK20(xR,xd)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_92])]) ).

fof(f5128,plain,
    ( spl22_93
  <=> ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | aNormalFormOfIn0(xd,X0,xR) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_93])]) ).

fof(f4787,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | aNormalFormOfIn0(xd,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xd)) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f4786,f2581]) ).

fof(f4786,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xv)
        | aNormalFormOfIn0(xd,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xd)) )
    | ~ spl22_2
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f4785,f567]) ).

fof(f4785,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xd,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xd))
        | ~ sdtmndtasgtdt0(X0,xR,xw) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f4784,f100]) ).

fof(f4784,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xd,X0,xR)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xd))
        | ~ sdtmndtasgtdt0(X0,xR,xw) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f4740,f188]) ).

fof(f4740,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xd,X0,xR)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xd))
        | ~ sdtmndtasgtdt0(X0,xR,xw) )
    | ~ spl22_2 ),
    inference(duplicate_literal_removal,[],[f4697]) ).

fof(f4697,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xd,X0,xR)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | aElement0(sK20(xR,xd))
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(X0) )
    | ~ spl22_2 ),
    inference(resolution,[],[f491,f608]) ).

fof(f5056,plain,
    ( spl22_90
    | spl22_91
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_23
    | ~ spl22_33 ),
    inference(avatar_split_clause,[],[f4849,f1874,f1209,f639,f565,f5053,f5049]) ).

fof(f5049,plain,
    ( spl22_90
  <=> aNormalFormOfIn0(sK19(xR,xu),xu,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_90])]) ).

fof(f5053,plain,
    ( spl22_91
  <=> aElement0(sK20(xR,sK19(xR,xu))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_91])]) ).

fof(f1209,plain,
    ( spl22_23
  <=> sdtmndtasgtdt0(xw,xR,sK19(xR,xw)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_23])]) ).

fof(f1874,plain,
    ( spl22_33
  <=> aElement0(sK19(xR,xv)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_33])]) ).

fof(f4849,plain,
    ( aElement0(sK20(xR,sK19(xR,xu)))
    | aNormalFormOfIn0(sK19(xR,xu),xu,xR)
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_23
    | ~ spl22_33 ),
    inference(forward_demodulation,[],[f4848,f2581]) ).

fof(f4848,plain,
    ( aNormalFormOfIn0(sK19(xR,xu),xu,xR)
    | aElement0(sK20(xR,sK19(xR,xv)))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_23
    | ~ spl22_33 ),
    inference(forward_demodulation,[],[f4847,f2581]) ).

fof(f4847,plain,
    ( aNormalFormOfIn0(sK19(xR,xv),xv,xR)
    | aElement0(sK20(xR,sK19(xR,xv)))
    | ~ spl22_14
    | ~ spl22_23
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f4846,f104]) ).

fof(f4846,plain,
    ( aNormalFormOfIn0(sK19(xR,xv),xv,xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,sK19(xR,xv)))
    | ~ spl22_14
    | ~ spl22_23
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f4845,f100]) ).

fof(f4845,plain,
    ( aNormalFormOfIn0(sK19(xR,xv),xv,xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,sK19(xR,xv)))
    | ~ spl22_14
    | ~ spl22_23
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f4717,f1875]) ).

fof(f1875,plain,
    ( aElement0(sK19(xR,xv))
    | ~ spl22_33 ),
    inference(avatar_component_clause,[],[f1874]) ).

fof(f4717,plain,
    ( aNormalFormOfIn0(sK19(xR,xv),xv,xR)
    | ~ aElement0(sK19(xR,xv))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | aElement0(sK20(xR,sK19(xR,xv)))
    | ~ spl22_14
    | ~ spl22_23 ),
    inference(resolution,[],[f491,f1445]) ).

fof(f1445,plain,
    ( sdtmndtasgtdt0(xv,xR,sK19(xR,xv))
    | ~ spl22_14
    | ~ spl22_23 ),
    inference(forward_demodulation,[],[f1210,f567]) ).

fof(f1210,plain,
    ( sdtmndtasgtdt0(xw,xR,sK19(xR,xw))
    | ~ spl22_23 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f4990,plain,
    ( spl22_88
    | spl22_89
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(avatar_split_clause,[],[f4832,f639,f565,f4987,f4983]) ).

fof(f4983,plain,
    ( spl22_88
  <=> aElement0(sK20(xR,xc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_88])]) ).

fof(f4987,plain,
    ( spl22_89
  <=> aNormalFormOfIn0(xc,xu,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_89])]) ).

fof(f4958,plain,
    ( ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27
    | ~ spl22_33
    | ~ spl22_86 ),
    inference(avatar_contradiction_clause,[],[f4957]) ).

fof(f4957,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27
    | ~ spl22_33
    | ~ spl22_86 ),
    inference(subsumption_resolution,[],[f4932,f2632]) ).

fof(f2632,plain,
    ( aElement0(sK19(xR,xu))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_33 ),
    inference(superposition,[],[f1875,f2581]) ).

fof(f4932,plain,
    ( ~ aElement0(sK19(xR,xu))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27
    | ~ spl22_86 ),
    inference(resolution,[],[f4928,f2629]) ).

fof(f2629,plain,
    ( sdtmndtplgtdt0(xu,xR,sK19(xR,xu))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27 ),
    inference(superposition,[],[f1752,f2581]) ).

fof(f1752,plain,
    ( sdtmndtplgtdt0(xv,xR,sK19(xR,xv))
    | ~ spl22_14
    | ~ spl22_27 ),
    inference(forward_demodulation,[],[f1536,f567]) ).

fof(f1536,plain,
    ( sdtmndtplgtdt0(xw,xR,sK19(xR,xw))
    | ~ spl22_27 ),
    inference(avatar_component_clause,[],[f1534]) ).

fof(f1534,plain,
    ( spl22_27
  <=> sdtmndtplgtdt0(xw,xR,sK19(xR,xw)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_27])]) ).

fof(f4928,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_86 ),
    inference(subsumption_resolution,[],[f4927,f107]) ).

fof(f4927,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xu) )
    | ~ spl22_86 ),
    inference(subsumption_resolution,[],[f4912,f100]) ).

fof(f4912,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xu) )
    | ~ spl22_86 ),
    inference(resolution,[],[f4911,f214]) ).

fof(f4911,plain,
    ( ! [X0] : ~ sP6(X0,xR,xu)
    | ~ spl22_86 ),
    inference(subsumption_resolution,[],[f4908,f4906]) ).

fof(f4906,plain,
    ( ! [X0] : ~ aReductOfIn0(X0,xu,xR)
    | ~ spl22_86 ),
    inference(subsumption_resolution,[],[f4905,f107]) ).

fof(f4905,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(X0,xu,xR)
        | ~ aElement0(xu) )
    | ~ spl22_86 ),
    inference(subsumption_resolution,[],[f4902,f100]) ).

fof(f4902,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(X0,xu,xR)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xu) )
    | ~ spl22_86 ),
    inference(resolution,[],[f4896,f157]) ).

fof(f4896,plain,
    ( aNormalFormOfIn0(xu,xu,xR)
    | ~ spl22_86 ),
    inference(avatar_component_clause,[],[f4894]) ).

fof(f4894,plain,
    ( spl22_86
  <=> aNormalFormOfIn0(xu,xu,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_86])]) ).

fof(f4908,plain,
    ( ! [X0] :
        ( aReductOfIn0(X0,xu,xR)
        | ~ sP6(X0,xR,xu) )
    | ~ spl22_86 ),
    inference(resolution,[],[f4906,f162]) ).

fof(f4956,plain,
    ( ~ spl22_2
    | ~ spl22_9
    | ~ spl22_18
    | ~ spl22_86 ),
    inference(avatar_contradiction_clause,[],[f4955]) ).

fof(f4955,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_18
    | ~ spl22_86 ),
    inference(subsumption_resolution,[],[f4931,f188]) ).

fof(f4931,plain,
    ( ~ aElement0(xd)
    | ~ spl22_9
    | ~ spl22_18
    | ~ spl22_86 ),
    inference(resolution,[],[f4928,f2587]) ).

fof(f2587,plain,
    ( sdtmndtplgtdt0(xu,xR,xd)
    | ~ spl22_9
    | ~ spl22_18 ),
    inference(superposition,[],[f435,f641]) ).

fof(f435,plain,
    ( sdtmndtplgtdt0(xw,xR,xd)
    | ~ spl22_9 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f433,plain,
    ( spl22_9
  <=> sdtmndtplgtdt0(xw,xR,xd) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).

fof(f4954,plain,
    ( ~ spl22_11
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_86 ),
    inference(avatar_contradiction_clause,[],[f4953]) ).

fof(f4953,plain,
    ( $false
    | ~ spl22_11
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_86 ),
    inference(subsumption_resolution,[],[f4930,f115]) ).

fof(f4930,plain,
    ( ~ aElement0(xc)
    | ~ spl22_11
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_86 ),
    inference(resolution,[],[f4928,f2606]) ).

fof(f2606,plain,
    ( sdtmndtplgtdt0(xu,xR,xc)
    | ~ spl22_11
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(superposition,[],[f544,f2581]) ).

fof(f544,plain,
    ( sdtmndtplgtdt0(xv,xR,xc)
    | ~ spl22_11 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl22_11
  <=> sdtmndtplgtdt0(xv,xR,xc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).

fof(f4952,plain,
    ( ~ spl22_15
    | ~ spl22_86 ),
    inference(avatar_contradiction_clause,[],[f4951]) ).

fof(f4951,plain,
    ( $false
    | ~ spl22_15
    | ~ spl22_86 ),
    inference(subsumption_resolution,[],[f4929,f114]) ).

fof(f4929,plain,
    ( ~ aElement0(xb)
    | ~ spl22_15
    | ~ spl22_86 ),
    inference(resolution,[],[f4928,f618]) ).

fof(f618,plain,
    ( sdtmndtplgtdt0(xu,xR,xb)
    | ~ spl22_15 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f616,plain,
    ( spl22_15
  <=> sdtmndtplgtdt0(xu,xR,xb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).

fof(f4901,plain,
    ( spl22_86
    | spl22_87
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(avatar_split_clause,[],[f4822,f639,f565,f4898,f4894]) ).

fof(f4898,plain,
    ( spl22_87
  <=> aElement0(sK20(xR,xu)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_87])]) ).

fof(f4872,plain,
    ( spl22_84
    | spl22_85
    | ~ spl22_39 ),
    inference(avatar_split_clause,[],[f4799,f2229,f4869,f4865]) ).

fof(f4865,plain,
    ( spl22_84
  <=> aElement0(sK20(xR,xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_84])]) ).

fof(f4869,plain,
    ( spl22_85
  <=> aNormalFormOfIn0(xb,xb,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_85])]) ).

fof(f2229,plain,
    ( spl22_39
  <=> sdtmndtasgtdt0(xb,xR,xb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_39])]) ).

fof(f4799,plain,
    ( aNormalFormOfIn0(xb,xb,xR)
    | aElement0(sK20(xR,xb))
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f4798,f100]) ).

fof(f4798,plain,
    ( aNormalFormOfIn0(xb,xb,xR)
    | ~ aRewritingSystem0(xR)
    | aElement0(sK20(xR,xb))
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f4734,f114]) ).

fof(f4734,plain,
    ( aNormalFormOfIn0(xb,xb,xR)
    | ~ aElement0(xb)
    | ~ aRewritingSystem0(xR)
    | aElement0(sK20(xR,xb))
    | ~ spl22_39 ),
    inference(duplicate_literal_removal,[],[f4703]) ).

fof(f4703,plain,
    ( aNormalFormOfIn0(xb,xb,xR)
    | ~ aElement0(xb)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | aElement0(sK20(xR,xb))
    | ~ spl22_39 ),
    inference(resolution,[],[f491,f2230]) ).

fof(f2230,plain,
    ( sdtmndtasgtdt0(xb,xR,xb)
    | ~ spl22_39 ),
    inference(avatar_component_clause,[],[f2229]) ).

fof(f4649,plain,
    ( ~ spl22_82
    | spl22_83
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27
    | ~ spl22_33 ),
    inference(avatar_split_clause,[],[f4546,f1874,f1534,f639,f565,f187,f4647,f4643]) ).

fof(f4643,plain,
    ( spl22_82
  <=> aReductOfIn0(xa,sK19(xR,xu),xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_82])]) ).

fof(f4647,plain,
    ( spl22_83
  <=> ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X0,xR,xd) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_83])]) ).

fof(f4546,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | ~ aReductOfIn0(xa,sK19(xR,xu),xR)
        | sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27
    | ~ spl22_33 ),
    inference(forward_demodulation,[],[f4545,f2581]) ).

fof(f4545,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xa,sK19(xR,xu),xR)
        | sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xv,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27
    | ~ spl22_33 ),
    inference(forward_demodulation,[],[f4544,f2581]) ).

fof(f4544,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xa,sK19(xR,xv),xR)
        | ~ aReductOfIn0(xv,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f4531,f1875]) ).

fof(f4531,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(sK19(xR,xv))
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xa,sK19(xR,xv),xR)
        | ~ aReductOfIn0(xv,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27
    | ~ spl22_33 ),
    inference(duplicate_literal_removal,[],[f4505]) ).

fof(f4505,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(sK19(xR,xv))
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xa,sK19(xR,xv),xR)
        | ~ aReductOfIn0(xv,X0,xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_27
    | ~ spl22_33 ),
    inference(resolution,[],[f4463,f2096]) ).

fof(f2096,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,sK19(xR,xv))
        | ~ aReductOfIn0(xv,X0,xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_27
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f2095,f100]) ).

fof(f2095,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xv,X0,xR)
        | sdtmndtplgtdt0(X0,xR,sK19(xR,xv))
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_27
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f2094,f1875]) ).

fof(f2094,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xv,X0,xR)
        | sdtmndtplgtdt0(X0,xR,sK19(xR,xv))
        | ~ aElement0(sK19(xR,xv))
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_27 ),
    inference(resolution,[],[f1865,f215]) ).

fof(f1865,plain,
    ( ! [X0] :
        ( sP6(sK19(xR,xv),xR,X0)
        | ~ aReductOfIn0(xv,X0,xR) )
    | ~ spl22_14
    | ~ spl22_27 ),
    inference(subsumption_resolution,[],[f1861,f104]) ).

fof(f1861,plain,
    ( ! [X0] :
        ( sP6(sK19(xR,xv),xR,X0)
        | ~ aReductOfIn0(xv,X0,xR)
        | ~ aElement0(xv) )
    | ~ spl22_14
    | ~ spl22_27 ),
    inference(resolution,[],[f1752,f165]) ).

fof(f4463,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X1,xR,X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ aReductOfIn0(xa,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f4435,f100]) ).

fof(f4435,plain,
    ( ! [X0,X1] :
        ( ~ aReductOfIn0(xa,X0,xR)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f4428]) ).

fof(f4428,plain,
    ( ! [X0,X1] :
        ( ~ aReductOfIn0(xa,X0,xR)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3907,f169]) ).

fof(f3907,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aReductOfIn0(xa,X0,xR)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ aElement0(X0)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3906,f100]) ).

fof(f3906,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ aReductOfIn0(xa,X0,xR)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3888,f188]) ).

fof(f3888,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ aReductOfIn0(xa,X0,xR)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3885]) ).

fof(f3885,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ aReductOfIn0(xa,X0,xR)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3866,f171]) ).

fof(f3866,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xa,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3865,f113]) ).

fof(f3865,plain,
    ( ! [X0] :
        ( ~ aElement0(xa)
        | sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xa,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3842,f108]) ).

fof(f3842,plain,
    ( ! [X0,X1] :
        ( ~ aReductOfIn0(xu,X1,xR)
        | ~ aElement0(X1)
        | sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(X1,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3827,f100]) ).

fof(f3827,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ aElement0(X1)
        | sdtmndtasgtdt0(X0,xR,xd)
        | ~ aReductOfIn0(xu,X1,xR)
        | ~ aRewritingSystem0(xR)
        | ~ aReductOfIn0(X1,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3812]) ).

fof(f3812,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ aElement0(X1)
        | sdtmndtasgtdt0(X0,xR,xd)
        | ~ aReductOfIn0(xu,X1,xR)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(X1,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3683,f355]) ).

fof(f3683,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(X1)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3682,f100]) ).

fof(f3682,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ aRewritingSystem0(xR)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3680]) ).

fof(f3680,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3460,f355]) ).

fof(f3460,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X1,xR,xu)
        | ~ aElement0(X1)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,X1)
        | sdtmndtasgtdt0(X0,xR,xd) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3459,f100]) ).

fof(f3459,plain,
    ( ! [X0,X1] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X1)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,X1)
        | ~ sdtmndtplgtdt0(X1,xR,xu)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3454,f107]) ).

fof(f3454,plain,
    ( ! [X0,X1] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X1)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,X1)
        | ~ sdtmndtplgtdt0(X1,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3453]) ).

fof(f3453,plain,
    ( ! [X0,X1] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X1)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,X1)
        | ~ sdtmndtplgtdt0(X1,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3413,f169]) ).

fof(f3413,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ sdtmndtplgtdt0(X1,xR,X0) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3385,f100]) ).

fof(f3385,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X1)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3384]) ).

fof(f3384,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X1)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3350,f169]) ).

fof(f3350,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X0,xR,xu)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f3349,f2581]) ).

fof(f3349,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f1664,f567]) ).

fof(f1664,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(X1) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f1663,f100]) ).

fof(f1663,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f1648,f188]) ).

fof(f1648,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2 ),
    inference(duplicate_literal_removal,[],[f1645]) ).

fof(f1645,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,xd)
        | ~ sdtmndtasgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2 ),
    inference(resolution,[],[f608,f171]) ).

fof(f4619,plain,
    ( spl22_79
    | ~ spl22_80
    | spl22_81
    | ~ spl22_2
    | spl22_21
    | ~ spl22_45
    | ~ spl22_54
    | ~ spl22_76 ),
    inference(avatar_split_clause,[],[f4605,f4251,f3319,f3039,f909,f187,f4616,f4612,f4608]) ).

fof(f4608,plain,
    ( spl22_79
  <=> sK9(xR) = sK11(xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_79])]) ).

fof(f4612,plain,
    ( spl22_80
  <=> sdtmndtplgtdt0(sK11(xR),xR,xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_80])]) ).

fof(f4616,plain,
    ( spl22_81
  <=> sdtmndtplgtdt0(sK9(xR),xR,xd) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_81])]) ).

fof(f909,plain,
    ( spl22_21
  <=> sP0(xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).

fof(f3039,plain,
    ( spl22_45
  <=> aElement0(sK11(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_45])]) ).

fof(f3319,plain,
    ( spl22_54
  <=> aElement0(sK9(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_54])]) ).

fof(f4251,plain,
    ( spl22_76
  <=> sdtmndtplgtdt0(xa,xR,xd) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_76])]) ).

fof(f4605,plain,
    ( sdtmndtplgtdt0(sK9(xR),xR,xd)
    | ~ sdtmndtplgtdt0(sK11(xR),xR,xa)
    | sK9(xR) = sK11(xR)
    | ~ spl22_2
    | spl22_21
    | ~ spl22_45
    | ~ spl22_54
    | ~ spl22_76 ),
    inference(subsumption_resolution,[],[f4604,f911]) ).

fof(f911,plain,
    ( ~ sP0(xR)
    | spl22_21 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f4604,plain,
    ( sdtmndtplgtdt0(sK9(xR),xR,xd)
    | ~ sdtmndtplgtdt0(sK11(xR),xR,xa)
    | sK9(xR) = sK11(xR)
    | sP0(xR)
    | ~ spl22_2
    | ~ spl22_45
    | ~ spl22_54
    | ~ spl22_76 ),
    inference(subsumption_resolution,[],[f4603,f100]) ).

fof(f4603,plain,
    ( sdtmndtplgtdt0(sK9(xR),xR,xd)
    | ~ sdtmndtplgtdt0(sK11(xR),xR,xa)
    | sK9(xR) = sK11(xR)
    | ~ aRewritingSystem0(xR)
    | sP0(xR)
    | ~ spl22_2
    | ~ spl22_45
    | ~ spl22_54
    | ~ spl22_76 ),
    inference(subsumption_resolution,[],[f4602,f3320]) ).

fof(f3320,plain,
    ( aElement0(sK9(xR))
    | ~ spl22_54 ),
    inference(avatar_component_clause,[],[f3319]) ).

fof(f4602,plain,
    ( sdtmndtplgtdt0(sK9(xR),xR,xd)
    | ~ sdtmndtplgtdt0(sK11(xR),xR,xa)
    | ~ aElement0(sK9(xR))
    | sK9(xR) = sK11(xR)
    | ~ aRewritingSystem0(xR)
    | sP0(xR)
    | ~ spl22_2
    | ~ spl22_45
    | ~ spl22_76 ),
    inference(subsumption_resolution,[],[f4580,f3040]) ).

fof(f3040,plain,
    ( aElement0(sK11(xR))
    | ~ spl22_45 ),
    inference(avatar_component_clause,[],[f3039]) ).

fof(f4580,plain,
    ( ~ aElement0(sK11(xR))
    | sdtmndtplgtdt0(sK9(xR),xR,xd)
    | ~ sdtmndtplgtdt0(sK11(xR),xR,xa)
    | ~ aElement0(sK9(xR))
    | sK9(xR) = sK11(xR)
    | ~ aRewritingSystem0(xR)
    | sP0(xR)
    | ~ spl22_2
    | ~ spl22_76 ),
    inference(resolution,[],[f4304,f430]) ).

fof(f4304,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_76 ),
    inference(subsumption_resolution,[],[f4303,f100]) ).

fof(f4303,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xd)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_76 ),
    inference(subsumption_resolution,[],[f4298,f188]) ).

fof(f4298,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xd)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_76 ),
    inference(duplicate_literal_removal,[],[f4285]) ).

fof(f4285,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xd)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_76 ),
    inference(resolution,[],[f4280,f170]) ).

fof(f4280,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_76 ),
    inference(subsumption_resolution,[],[f4279,f100]) ).

fof(f4279,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_76 ),
    inference(subsumption_resolution,[],[f4278,f113]) ).

fof(f4278,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aElement0(xa)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_76 ),
    inference(subsumption_resolution,[],[f4275,f188]) ).

fof(f4275,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xa)
        | ~ aElement0(xd)
        | ~ aElement0(xa)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_76 ),
    inference(resolution,[],[f4253,f170]) ).

fof(f4253,plain,
    ( sdtmndtplgtdt0(xa,xR,xd)
    | ~ spl22_76 ),
    inference(avatar_component_clause,[],[f4251]) ).

fof(f4379,plain,
    ( ~ spl22_77
    | ~ spl22_78
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(avatar_split_clause,[],[f4368,f565,f433,f242,f187,f4376,f4372]) ).

fof(f4372,plain,
    ( spl22_77
  <=> aElement0(sK8(xb,xd)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_77])]) ).

fof(f4376,plain,
    ( spl22_78
  <=> sdtmndtasgtdt0(xd,xR,xb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_78])]) ).

fof(f4368,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,xb)
    | ~ aElement0(sK8(xb,xd))
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4367,f188]) ).

fof(f4367,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,xb)
    | ~ aElement0(sK8(xb,xd))
    | ~ aElement0(xd)
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4366,f2010]) ).

fof(f2010,plain,
    ( iLess0(xd,xa)
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2009,f113]) ).

fof(f2009,plain,
    ( iLess0(xd,xa)
    | ~ aElement0(xa)
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(resolution,[],[f2006,f105]) ).

fof(f2006,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xv,X0,xR)
        | iLess0(xd,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f2005,f100]) ).

fof(f2005,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | iLess0(xd,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aReductOfIn0(xv,X0,xR) )
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f2002]) ).

fof(f2002,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | iLess0(xd,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xv,X0,xR) )
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(resolution,[],[f1999,f355]) ).

fof(f1999,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | iLess0(xd,X0) )
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1998,f243]) ).

fof(f1998,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | iLess0(xd,X0)
        | ~ sP4(xR) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1993,f188]) ).

fof(f1993,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | iLess0(xd,X0)
        | ~ aElement0(xd)
        | ~ sP4(xR) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f1986]) ).

fof(f1986,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | iLess0(xd,X0)
        | ~ aElement0(xd)
        | ~ aElement0(X0)
        | ~ sP4(xR) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(resolution,[],[f1922,f147]) ).

fof(f1922,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f1569,f567]) ).

fof(f1569,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xw)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(subsumption_resolution,[],[f1568,f100]) ).

fof(f1568,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(subsumption_resolution,[],[f1567,f110]) ).

fof(f1567,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xw)
        | ~ aElement0(xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(subsumption_resolution,[],[f1564,f188]) ).

fof(f1564,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ sdtmndtplgtdt0(X0,xR,xw)
        | ~ aElement0(xd)
        | ~ aElement0(xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_9 ),
    inference(resolution,[],[f435,f170]) ).

fof(f4366,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,xb)
    | ~ aElement0(sK8(xb,xd))
    | ~ iLess0(xd,xa)
    | ~ aElement0(xd)
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4365,f114]) ).

fof(f4365,plain,
    ( ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xd,xR,xb)
    | ~ aElement0(sK8(xb,xd))
    | ~ iLess0(xd,xa)
    | ~ aElement0(xd)
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f4362]) ).

fof(f4362,plain,
    ( ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xd,xR,xb)
    | ~ aElement0(sK8(xb,xd))
    | ~ iLess0(xd,xa)
    | ~ sdtmndtasgtdt0(xd,xR,xb)
    | ~ aElement0(xd)
    | ~ aElement0(xb)
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(resolution,[],[f4344,f974]) ).

fof(f4344,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xb,xR,sK8(X0,xd))
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(xd,xR,X0)
        | ~ aElement0(sK8(X0,xd)) )
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4343,f188]) ).

fof(f4343,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xd,xR,X0)
        | ~ aElement0(xd)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(xb,xR,sK8(X0,xd))
        | ~ aElement0(sK8(X0,xd)) )
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f4316,f2010]) ).

fof(f4316,plain,
    ! [X0] :
      ( ~ iLess0(xd,xa)
      | ~ sdtmndtasgtdt0(xd,xR,X0)
      | ~ aElement0(xd)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(xb,xR,sK8(X0,xd))
      | ~ aElement0(sK8(X0,xd)) ),
    inference(resolution,[],[f1055,f99]) ).

fof(f4268,plain,
    ( ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | spl22_76 ),
    inference(avatar_contradiction_clause,[],[f4267]) ).

fof(f4267,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | spl22_76 ),
    inference(subsumption_resolution,[],[f4266,f113]) ).

fof(f4266,plain,
    ( ~ aElement0(xa)
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | spl22_76 ),
    inference(subsumption_resolution,[],[f4258,f105]) ).

fof(f4258,plain,
    ( ~ aReductOfIn0(xv,xa,xR)
    | ~ aElement0(xa)
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | spl22_76 ),
    inference(resolution,[],[f4252,f2011]) ).

fof(f2011,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ aReductOfIn0(xv,X0,xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f1626,f567]) ).

fof(f1626,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xw,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xd)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(subsumption_resolution,[],[f1625,f100]) ).

fof(f1625,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xw,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(subsumption_resolution,[],[f1624,f188]) ).

fof(f1624,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xw,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xd)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_9 ),
    inference(resolution,[],[f1570,f215]) ).

fof(f1570,plain,
    ( ! [X0] :
        ( sP6(xd,xR,X0)
        | ~ aReductOfIn0(xw,X0,xR) )
    | ~ spl22_9 ),
    inference(subsumption_resolution,[],[f1565,f110]) ).

fof(f1565,plain,
    ( ! [X0] :
        ( sP6(xd,xR,X0)
        | ~ aReductOfIn0(xw,X0,xR)
        | ~ aElement0(xw) )
    | ~ spl22_9 ),
    inference(resolution,[],[f435,f165]) ).

fof(f4252,plain,
    ( ~ sdtmndtplgtdt0(xa,xR,xd)
    | spl22_76 ),
    inference(avatar_component_clause,[],[f4251]) ).

fof(f4264,plain,
    ( ~ spl22_2
    | ~ spl22_9
    | ~ spl22_18
    | spl22_76 ),
    inference(avatar_contradiction_clause,[],[f4263]) ).

fof(f4263,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_18
    | spl22_76 ),
    inference(subsumption_resolution,[],[f4262,f113]) ).

fof(f4262,plain,
    ( ~ aElement0(xa)
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_18
    | spl22_76 ),
    inference(subsumption_resolution,[],[f4256,f108]) ).

fof(f4256,plain,
    ( ~ aReductOfIn0(xu,xa,xR)
    | ~ aElement0(xa)
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_18
    | spl22_76 ),
    inference(resolution,[],[f4252,f2813]) ).

fof(f2813,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ aReductOfIn0(xu,X0,xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f2812,f100]) ).

fof(f2812,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f2811,f188]) ).

fof(f2811,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xd)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_9
    | ~ spl22_18 ),
    inference(resolution,[],[f2667,f215]) ).

fof(f2667,plain,
    ( ! [X0] :
        ( sP6(xd,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_9
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f2662,f107]) ).

fof(f2662,plain,
    ( ! [X0] :
        ( sP6(xd,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR)
        | ~ aElement0(xu) )
    | ~ spl22_9
    | ~ spl22_18 ),
    inference(resolution,[],[f2587,f165]) ).

fof(f4254,plain,
    ( ~ spl22_75
    | spl22_76
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(avatar_split_clause,[],[f4244,f639,f565,f433,f187,f4251,f4247]) ).

fof(f4247,plain,
    ( spl22_75
  <=> aReductOfIn0(xa,xc,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_75])]) ).

fof(f4244,plain,
    ( sdtmndtplgtdt0(xa,xR,xd)
    | ~ aReductOfIn0(xa,xc,xR)
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f4243,f113]) ).

fof(f4243,plain,
    ( sdtmndtplgtdt0(xa,xR,xd)
    | ~ aReductOfIn0(xa,xc,xR)
    | ~ aElement0(xa)
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f4212,f115]) ).

fof(f4212,plain,
    ( ~ aElement0(xc)
    | sdtmndtplgtdt0(xa,xR,xd)
    | ~ aReductOfIn0(xa,xc,xR)
    | ~ aElement0(xa)
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3278,f117]) ).

fof(f3278,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xd)
        | ~ aReductOfIn0(xa,X0,xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3277,f100]) ).

fof(f3277,plain,
    ( ! [X0,X1] :
        ( ~ aReductOfIn0(xa,X0,xR)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xd)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3276,f188]) ).

fof(f3276,plain,
    ( ! [X0,X1] :
        ( ~ aReductOfIn0(xa,X0,xR)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xd)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3264]) ).

fof(f3264,plain,
    ( ! [X0,X1] :
        ( ~ aReductOfIn0(xa,X0,xR)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xd)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(xd)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3263,f170]) ).

fof(f3263,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xd)
        | ~ aReductOfIn0(xa,X0,xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3262,f100]) ).

fof(f3262,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xa,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3261,f188]) ).

fof(f3261,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xa,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xd)
        | ~ aElement0(xd)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3258,f215]) ).

fof(f3258,plain,
    ( ! [X0] :
        ( sP6(xd,xR,X0)
        | ~ aReductOfIn0(xa,X0,xR) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3257,f113]) ).

fof(f3257,plain,
    ( ! [X0] :
        ( sP6(xd,xR,X0)
        | ~ aReductOfIn0(xa,X0,xR)
        | ~ aElement0(xa) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3251,f108]) ).

fof(f3251,plain,
    ( ! [X0,X1] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | sP6(xd,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3250,f100]) ).

fof(f3250,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | sP6(xd,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR)
        | ~ aRewritingSystem0(xR)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3248]) ).

fof(f3248,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | sP6(xd,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3247,f355]) ).

fof(f3247,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sP6(xd,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f1994,f2581]) ).

fof(f1994,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | sP6(xd,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(duplicate_literal_removal,[],[f1985]) ).

fof(f1985,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | sP6(xd,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(resolution,[],[f1922,f165]) ).

fof(f4033,plain,
    ( ~ spl22_73
    | ~ spl22_74
    | ~ spl22_2
    | spl22_21
    | ~ spl22_47 ),
    inference(avatar_split_clause,[],[f3999,f3058,f909,f187,f4030,f4026]) ).

fof(f4026,plain,
    ( spl22_73
  <=> sdtmndtasgtdt0(xb,xR,sK10(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_73])]) ).

fof(f4030,plain,
    ( spl22_74
  <=> sdtmndtasgtdt0(xd,xR,sK9(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_74])]) ).

fof(f3058,plain,
    ( spl22_47
  <=> aElement0(sK10(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_47])]) ).

fof(f3999,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,sK9(xR))
    | ~ sdtmndtasgtdt0(xb,xR,sK10(xR))
    | ~ spl22_2
    | spl22_21
    | ~ spl22_47 ),
    inference(subsumption_resolution,[],[f3998,f3059]) ).

fof(f3059,plain,
    ( aElement0(sK10(xR))
    | ~ spl22_47 ),
    inference(avatar_component_clause,[],[f3058]) ).

fof(f3998,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,sK9(xR))
    | ~ sdtmndtasgtdt0(xb,xR,sK10(xR))
    | ~ aElement0(sK10(xR))
    | ~ spl22_2
    | spl22_21 ),
    inference(subsumption_resolution,[],[f3997,f911]) ).

fof(f3997,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,sK9(xR))
    | sP0(xR)
    | ~ sdtmndtasgtdt0(xb,xR,sK10(xR))
    | ~ aElement0(sK10(xR))
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f3996,f188]) ).

fof(f3996,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,sK9(xR))
    | ~ aElement0(xd)
    | sP0(xR)
    | ~ sdtmndtasgtdt0(xb,xR,sK10(xR))
    | ~ aElement0(sK10(xR)) ),
    inference(subsumption_resolution,[],[f3952,f100]) ).

fof(f3952,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,sK9(xR))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xd)
    | sP0(xR)
    | ~ sdtmndtasgtdt0(xb,xR,sK10(xR))
    | ~ aElement0(sK10(xR)) ),
    inference(resolution,[],[f611,f99]) ).

fof(f4017,plain,
    ( spl22_71
    | ~ spl22_72
    | ~ spl22_14
    | ~ spl22_18
    | spl22_21
    | ~ spl22_25
    | ~ spl22_47 ),
    inference(avatar_split_clause,[],[f3995,f3058,f1474,f909,f639,f565,f4014,f4010]) ).

fof(f4010,plain,
    ( spl22_71
  <=> aElement0(sK8(sK10(xR),xc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_71])]) ).

fof(f4014,plain,
    ( spl22_72
  <=> sdtmndtasgtdt0(xu,xR,sK9(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_72])]) ).

fof(f1474,plain,
    ( spl22_25
  <=> ! [X0] :
        ( aElement0(sK8(X0,xc))
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(xv,xR,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).

fof(f3995,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,sK9(xR))
    | aElement0(sK8(sK10(xR),xc))
    | ~ spl22_14
    | ~ spl22_18
    | spl22_21
    | ~ spl22_25
    | ~ spl22_47 ),
    inference(subsumption_resolution,[],[f3994,f3059]) ).

fof(f3994,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,sK9(xR))
    | aElement0(sK8(sK10(xR),xc))
    | ~ aElement0(sK10(xR))
    | ~ spl22_14
    | ~ spl22_18
    | spl22_21
    | ~ spl22_25 ),
    inference(subsumption_resolution,[],[f3993,f911]) ).

fof(f3993,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,sK9(xR))
    | sP0(xR)
    | aElement0(sK8(sK10(xR),xc))
    | ~ aElement0(sK10(xR))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_25 ),
    inference(subsumption_resolution,[],[f3992,f107]) ).

fof(f3992,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,sK9(xR))
    | ~ aElement0(xu)
    | sP0(xR)
    | aElement0(sK8(sK10(xR),xc))
    | ~ aElement0(sK10(xR))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_25 ),
    inference(subsumption_resolution,[],[f3951,f100]) ).

fof(f3951,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,sK9(xR))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xu)
    | sP0(xR)
    | aElement0(sK8(sK10(xR),xc))
    | ~ aElement0(sK10(xR))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_25 ),
    inference(resolution,[],[f611,f2679]) ).

fof(f2679,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | aElement0(sK8(X0,xc))
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_25 ),
    inference(forward_demodulation,[],[f1475,f2581]) ).

fof(f1475,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0)
        | aElement0(sK8(X0,xc)) )
    | ~ spl22_25 ),
    inference(avatar_component_clause,[],[f1474]) ).

fof(f3916,plain,
    ( ~ spl22_69
    | ~ spl22_70
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | spl22_21
    | ~ spl22_45 ),
    inference(avatar_split_clause,[],[f3905,f3039,f909,f639,f565,f187,f3913,f3909]) ).

fof(f3909,plain,
    ( spl22_69
  <=> sdtmndtasgtdt0(sK10(xR),xR,xd) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_69])]) ).

fof(f3913,plain,
    ( spl22_70
  <=> aReductOfIn0(xa,sK11(xR),xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_70])]) ).

fof(f3905,plain,
    ( ~ aReductOfIn0(xa,sK11(xR),xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xd)
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | spl22_21
    | ~ spl22_45 ),
    inference(subsumption_resolution,[],[f3904,f188]) ).

fof(f3904,plain,
    ( ~ aReductOfIn0(xa,sK11(xR),xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xd)
    | ~ aElement0(xd)
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | spl22_21
    | ~ spl22_45 ),
    inference(subsumption_resolution,[],[f3903,f911]) ).

fof(f3903,plain,
    ( ~ aReductOfIn0(xa,sK11(xR),xR)
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xd)
    | ~ aElement0(xd)
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_45 ),
    inference(subsumption_resolution,[],[f3879,f3040]) ).

fof(f3879,plain,
    ( ~ aElement0(sK11(xR))
    | ~ aReductOfIn0(xa,sK11(xR),xR)
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xd)
    | ~ aElement0(xd)
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3866,f131]) ).

fof(f3649,plain,
    ( ~ spl22_66
    | spl22_67
    | ~ spl22_68
    | ~ spl22_6
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_37
    | ~ spl22_39 ),
    inference(avatar_split_clause,[],[f3191,f2229,f2032,f639,f565,f246,f3646,f3642,f3638]) ).

fof(f3638,plain,
    ( spl22_66
  <=> aElement0(sK16(xR,xb,xu)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_66])]) ).

fof(f3642,plain,
    ( spl22_67
  <=> aElement0(sK8(sK16(xR,xb,xu),xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_67])]) ).

fof(f3646,plain,
    ( spl22_68
  <=> aReductOfIn0(xb,xa,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_68])]) ).

fof(f246,plain,
    ( spl22_6
  <=> iLess0(xb,xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).

fof(f2032,plain,
    ( spl22_37
  <=> sP2(xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_37])]) ).

fof(f3191,plain,
    ( ~ aReductOfIn0(xb,xa,xR)
    | aElement0(sK8(sK16(xR,xb,xu),xb))
    | ~ aElement0(sK16(xR,xb,xu))
    | ~ spl22_6
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_37
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f3167,f114]) ).

fof(f3167,plain,
    ( ~ aReductOfIn0(xb,xa,xR)
    | ~ aElement0(xb)
    | aElement0(sK8(sK16(xR,xb,xu),xb))
    | ~ aElement0(sK16(xR,xb,xu))
    | ~ spl22_6
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_37
    | ~ spl22_39 ),
    inference(resolution,[],[f3133,f2268]) ).

fof(f2268,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xb,xR,X0)
        | aElement0(sK8(X0,xb))
        | ~ aElement0(X0) )
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2267,f114]) ).

fof(f2267,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ aElement0(xb)
        | ~ aElement0(X0) )
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2260,f248]) ).

fof(f248,plain,
    ( iLess0(xb,xa)
    | ~ spl22_6 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f2260,plain,
    ( ! [X0] :
        ( ~ iLess0(xb,xa)
        | aElement0(sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ aElement0(xb)
        | ~ aElement0(X0) )
    | ~ spl22_39 ),
    inference(duplicate_literal_removal,[],[f2249]) ).

fof(f2249,plain,
    ( ! [X0] :
        ( ~ iLess0(xb,xa)
        | aElement0(sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ aElement0(xb)
        | ~ aElement0(X0)
        | ~ aElement0(xb) )
    | ~ spl22_39 ),
    inference(resolution,[],[f2230,f118]) ).

fof(f3133,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK16(xR,X0,xu))
        | ~ aReductOfIn0(X0,xa,xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_37 ),
    inference(forward_demodulation,[],[f3132,f2581]) ).

fof(f3132,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK16(xR,X0,xv))
        | ~ aReductOfIn0(X0,xa,xR)
        | ~ aElement0(X0) )
    | ~ spl22_37 ),
    inference(subsumption_resolution,[],[f1343,f2033]) ).

fof(f2033,plain,
    ( sP2(xR)
    | ~ spl22_37 ),
    inference(avatar_component_clause,[],[f2032]) ).

fof(f3579,plain,
    ( ~ spl22_64
    | ~ spl22_65
    | ~ spl22_47
    | spl22_62 ),
    inference(avatar_split_clause,[],[f3570,f3553,f3058,f3576,f3572]) ).

fof(f3572,plain,
    ( spl22_64
  <=> aElement0(sK8(sK11(xR),xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_64])]) ).

fof(f3576,plain,
    ( spl22_65
  <=> sdtmndtplgtdt0(sK10(xR),xR,sK8(sK11(xR),xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_65])]) ).

fof(f3553,plain,
    ( spl22_62
  <=> sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_62])]) ).

fof(f3570,plain,
    ( ~ sdtmndtplgtdt0(sK10(xR),xR,sK8(sK11(xR),xb))
    | ~ aElement0(sK8(sK11(xR),xb))
    | ~ spl22_47
    | spl22_62 ),
    inference(subsumption_resolution,[],[f3569,f3059]) ).

fof(f3569,plain,
    ( ~ sdtmndtplgtdt0(sK10(xR),xR,sK8(sK11(xR),xb))
    | ~ aElement0(sK8(sK11(xR),xb))
    | ~ aElement0(sK10(xR))
    | spl22_62 ),
    inference(subsumption_resolution,[],[f3568,f100]) ).

fof(f3568,plain,
    ( ~ sdtmndtplgtdt0(sK10(xR),xR,sK8(sK11(xR),xb))
    | ~ aElement0(sK8(sK11(xR),xb))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(sK10(xR))
    | spl22_62 ),
    inference(resolution,[],[f3555,f169]) ).

fof(f3555,plain,
    ( ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),xb))
    | spl22_62 ),
    inference(avatar_component_clause,[],[f3553]) ).

fof(f3560,plain,
    ( ~ spl22_62
    | ~ spl22_63
    | ~ spl22_6
    | spl22_21
    | ~ spl22_39
    | ~ spl22_45 ),
    inference(avatar_split_clause,[],[f3551,f3039,f2229,f909,f246,f3557,f3553]) ).

fof(f3557,plain,
    ( spl22_63
  <=> sdtmndtasgtdt0(xb,xR,sK11(xR)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_63])]) ).

fof(f3551,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,sK11(xR))
    | ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),xb))
    | ~ spl22_6
    | spl22_21
    | ~ spl22_39
    | ~ spl22_45 ),
    inference(subsumption_resolution,[],[f2437,f3040]) ).

fof(f2437,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,sK11(xR))
    | ~ aElement0(sK11(xR))
    | ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),xb))
    | ~ spl22_6
    | spl22_21
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2436,f2268]) ).

fof(f2436,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,sK11(xR))
    | ~ aElement0(sK11(xR))
    | ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),xb))
    | ~ aElement0(sK8(sK11(xR),xb))
    | ~ spl22_6
    | spl22_21
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2413,f911]) ).

fof(f2413,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,sK11(xR))
    | ~ aElement0(sK11(xR))
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),xb))
    | ~ aElement0(sK8(sK11(xR),xb))
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(resolution,[],[f2266,f131]) ).

fof(f2266,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2265,f114]) ).

fof(f2265,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ aElement0(xb)
        | ~ aElement0(X0) )
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2261,f248]) ).

fof(f2261,plain,
    ( ! [X0] :
        ( ~ iLess0(xb,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ aElement0(xb)
        | ~ aElement0(X0) )
    | ~ spl22_39 ),
    inference(duplicate_literal_removal,[],[f2248]) ).

fof(f2248,plain,
    ( ! [X0] :
        ( ~ iLess0(xb,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xb))
        | ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ aElement0(xb)
        | ~ aElement0(X0)
        | ~ aElement0(xb) )
    | ~ spl22_39 ),
    inference(resolution,[],[f2230,f119]) ).

fof(f3461,plain,
    ( spl22_61
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(avatar_split_clause,[],[f3456,f639,f565,f187,f3426]) ).

fof(f3456,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3451,f107]) ).

fof(f3451,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ aElement0(xu)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3413,f2584]) ).

fof(f3428,plain,
    ( ~ spl22_60
    | spl22_61
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(avatar_split_clause,[],[f3405,f639,f565,f187,f3426,f3422]) ).

fof(f3422,plain,
    ( spl22_60
  <=> sdtmndtasgtdt0(xc,xR,xu) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_60])]) ).

fof(f3405,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(xc,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f3404,f2581]) ).

fof(f3404,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(xc,xR,xu)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xv) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3400,f115]) ).

fof(f3400,plain,
    ( ! [X0] :
        ( ~ aElement0(xc)
        | sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(xc,xR,xu)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xv) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3353]) ).

fof(f3353,plain,
    ( ! [X0] :
        ( ~ aElement0(xc)
        | sdtmndtasgtdt0(X0,xR,xd)
        | ~ sdtmndtasgtdt0(xc,xR,xu)
        | ~ aElement0(X0)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xv) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3350,f813]) ).

fof(f3346,plain,
    ( ~ spl22_57
    | ~ spl22_58
    | ~ spl22_59
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_37 ),
    inference(avatar_split_clause,[],[f3194,f2032,f639,f565,f187,f3343,f3339,f3335]) ).

fof(f3335,plain,
    ( spl22_57
  <=> aElement0(sK16(xR,xd,xu)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_57])]) ).

fof(f3339,plain,
    ( spl22_58
  <=> sdtmndtasgtdt0(xb,xR,sK16(xR,xd,xu)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_58])]) ).

fof(f3343,plain,
    ( spl22_59
  <=> aReductOfIn0(xd,xa,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_59])]) ).

fof(f3194,plain,
    ( ~ aReductOfIn0(xd,xa,xR)
    | ~ sdtmndtasgtdt0(xb,xR,sK16(xR,xd,xu))
    | ~ aElement0(sK16(xR,xd,xu))
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_37 ),
    inference(subsumption_resolution,[],[f3170,f188]) ).

fof(f3170,plain,
    ( ~ aReductOfIn0(xd,xa,xR)
    | ~ aElement0(xd)
    | ~ sdtmndtasgtdt0(xb,xR,sK16(xR,xd,xu))
    | ~ aElement0(sK16(xR,xd,xu))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_37 ),
    inference(resolution,[],[f3133,f99]) ).

fof(f3333,plain,
    ( spl22_21
    | spl22_54 ),
    inference(avatar_contradiction_clause,[],[f3332]) ).

fof(f3332,plain,
    ( $false
    | spl22_21
    | spl22_54 ),
    inference(subsumption_resolution,[],[f3331,f911]) ).

fof(f3331,plain,
    ( sP0(xR)
    | spl22_54 ),
    inference(resolution,[],[f3321,f126]) ).

fof(f3321,plain,
    ( ~ aElement0(sK9(xR))
    | spl22_54 ),
    inference(avatar_component_clause,[],[f3319]) ).

fof(f3330,plain,
    ( ~ spl22_54
    | ~ spl22_55
    | spl22_56
    | spl22_21
    | ~ spl22_47 ),
    inference(avatar_split_clause,[],[f3317,f3058,f909,f3327,f3323,f3319]) ).

fof(f3323,plain,
    ( spl22_55
  <=> iLess0(sK9(xR),xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_55])]) ).

fof(f3327,plain,
    ( spl22_56
  <=> aElement0(sK8(sK10(xR),sK9(xR))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_56])]) ).

fof(f3317,plain,
    ( aElement0(sK8(sK10(xR),sK9(xR)))
    | ~ iLess0(sK9(xR),xa)
    | ~ aElement0(sK9(xR))
    | spl22_21
    | ~ spl22_47 ),
    inference(subsumption_resolution,[],[f2351,f3059]) ).

fof(f2351,plain,
    ( aElement0(sK8(sK10(xR),sK9(xR)))
    | ~ iLess0(sK9(xR),xa)
    | ~ aElement0(sK9(xR))
    | ~ aElement0(sK10(xR))
    | spl22_21 ),
    inference(subsumption_resolution,[],[f2326,f911]) ).

fof(f2326,plain,
    ( aElement0(sK8(sK10(xR),sK9(xR)))
    | ~ iLess0(sK9(xR),xa)
    | ~ aElement0(sK9(xR))
    | ~ aElement0(sK10(xR))
    | sP0(xR) ),
    inference(resolution,[],[f697,f129]) ).

fof(f3316,plain,
    ( ~ spl22_37
    | spl22_52 ),
    inference(avatar_contradiction_clause,[],[f3315]) ).

fof(f3315,plain,
    ( $false
    | ~ spl22_37
    | spl22_52 ),
    inference(subsumption_resolution,[],[f3314,f107]) ).

fof(f3314,plain,
    ( ~ aElement0(xu)
    | ~ spl22_37
    | spl22_52 ),
    inference(subsumption_resolution,[],[f3313,f108]) ).

fof(f3313,plain,
    ( ~ aReductOfIn0(xu,xa,xR)
    | ~ aElement0(xu)
    | ~ spl22_37
    | spl22_52 ),
    inference(resolution,[],[f3307,f2126]) ).

fof(f2126,plain,
    ( ! [X0] :
        ( aElement0(sK16(xR,X0,xu))
        | ~ aReductOfIn0(X0,xa,xR)
        | ~ aElement0(X0) )
    | ~ spl22_37 ),
    inference(subsumption_resolution,[],[f892,f2033]) ).

fof(f3307,plain,
    ( ~ aElement0(sK16(xR,xu,xu))
    | spl22_52 ),
    inference(avatar_component_clause,[],[f3305]) ).

fof(f3305,plain,
    ( spl22_52
  <=> aElement0(sK16(xR,xu,xu)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_52])]) ).

fof(f3312,plain,
    ( ~ spl22_52
    | spl22_53
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_25
    | ~ spl22_37 ),
    inference(avatar_split_clause,[],[f3193,f2032,f1474,f639,f565,f3309,f3305]) ).

fof(f3309,plain,
    ( spl22_53
  <=> aElement0(sK8(sK16(xR,xu,xu),xc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_53])]) ).

fof(f3193,plain,
    ( aElement0(sK8(sK16(xR,xu,xu),xc))
    | ~ aElement0(sK16(xR,xu,xu))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_25
    | ~ spl22_37 ),
    inference(subsumption_resolution,[],[f3192,f107]) ).

fof(f3192,plain,
    ( ~ aElement0(xu)
    | aElement0(sK8(sK16(xR,xu,xu),xc))
    | ~ aElement0(sK16(xR,xu,xu))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_25
    | ~ spl22_37 ),
    inference(subsumption_resolution,[],[f3169,f108]) ).

fof(f3169,plain,
    ( ~ aReductOfIn0(xu,xa,xR)
    | ~ aElement0(xu)
    | aElement0(sK8(sK16(xR,xu,xu),xc))
    | ~ aElement0(sK16(xR,xu,xu))
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_25
    | ~ spl22_37 ),
    inference(resolution,[],[f3133,f2679]) ).

fof(f3246,plain,
    ( ~ spl22_50
    | spl22_51
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(avatar_split_clause,[],[f3237,f639,f565,f187,f3243,f3239]) ).

fof(f3239,plain,
    ( spl22_50
  <=> iLess0(xa,xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_50])]) ).

fof(f3243,plain,
    ( spl22_51
  <=> aElement0(sK8(xd,xa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_51])]) ).

fof(f3237,plain,
    ( aElement0(sK8(xd,xa))
    | ~ iLess0(xa,xa)
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3236,f113]) ).

fof(f3236,plain,
    ( ~ aElement0(xa)
    | aElement0(sK8(xd,xa))
    | ~ iLess0(xa,xa)
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3204,f108]) ).

fof(f3204,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | ~ aElement0(X0)
        | aElement0(sK8(xd,X0))
        | ~ iLess0(X0,xa) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3203,f100]) ).

fof(f3203,plain,
    ( ! [X0] :
        ( ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | aElement0(sK8(xd,X0))
        | ~ aRewritingSystem0(xR)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3201]) ).

fof(f3201,plain,
    ( ! [X0] :
        ( ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | aElement0(sK8(xd,X0))
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3104,f355]) ).

fof(f3104,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | aElement0(sK8(xd,X0)) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3103,f100]) ).

fof(f3103,plain,
    ( ! [X0] :
        ( aElement0(sK8(xd,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f3101,f107]) ).

fof(f3101,plain,
    ( ! [X0] :
        ( aElement0(sK8(xd,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(duplicate_literal_removal,[],[f3100]) ).

fof(f3100,plain,
    ( ! [X0] :
        ( aElement0(sK8(xd,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(resolution,[],[f3079,f169]) ).

fof(f3079,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xu)
        | aElement0(sK8(xd,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_14
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f2350,f2581]) ).

fof(f2350,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(X0,xR,xv)
        | aElement0(sK8(xd,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f2349,f567]) ).

fof(f2349,plain,
    ( ! [X0] :
        ( aElement0(sK8(xd,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(X0,xR,xw) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f2336,f188]) ).

fof(f2336,plain,
    ( ! [X0] :
        ( aElement0(sK8(xd,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ aElement0(xd)
        | ~ sdtmndtasgtdt0(X0,xR,xw) )
    | ~ spl22_2 ),
    inference(duplicate_literal_removal,[],[f2313]) ).

fof(f2313,plain,
    ( ! [X0] :
        ( aElement0(sK8(xd,X0))
        | ~ iLess0(X0,xa)
        | ~ aElement0(X0)
        | ~ aElement0(xd)
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(X0) )
    | ~ spl22_2 ),
    inference(resolution,[],[f697,f608]) ).

fof(f3090,plain,
    ( ~ spl22_48
    | ~ spl22_49
    | ~ spl22_14
    | ~ spl22_18
    | spl22_21
    | ~ spl22_45 ),
    inference(avatar_split_clause,[],[f3081,f3039,f909,f639,f565,f3087,f3083]) ).

fof(f3083,plain,
    ( spl22_48
  <=> sdtmndtasgtdt0(sK11(xR),xR,xu) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_48])]) ).

fof(f3087,plain,
    ( spl22_49
  <=> sdtmndtasgtdt0(sK10(xR),xR,xu) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_49])]) ).

fof(f3081,plain,
    ( ~ sdtmndtasgtdt0(sK10(xR),xR,xu)
    | ~ sdtmndtasgtdt0(sK11(xR),xR,xu)
    | ~ spl22_14
    | ~ spl22_18
    | spl22_21
    | ~ spl22_45 ),
    inference(forward_demodulation,[],[f3080,f2581]) ).

fof(f3080,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xu)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xv)
    | ~ spl22_14
    | spl22_21
    | ~ spl22_45 ),
    inference(subsumption_resolution,[],[f2482,f3040]) ).

fof(f2482,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xu)
    | ~ aElement0(sK11(xR))
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xv)
    | ~ spl22_14
    | spl22_21 ),
    inference(subsumption_resolution,[],[f2481,f104]) ).

fof(f2481,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xu)
    | ~ aElement0(sK11(xR))
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xv)
    | ~ aElement0(xv)
    | ~ spl22_14
    | spl22_21 ),
    inference(subsumption_resolution,[],[f2454,f911]) ).

fof(f2454,plain,
    ( ~ sdtmndtasgtdt0(sK11(xR),xR,xu)
    | ~ aElement0(sK11(xR))
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xv)
    | ~ aElement0(xv)
    | ~ spl22_14 ),
    inference(resolution,[],[f1717,f131]) ).

fof(f3064,plain,
    ( spl22_21
    | spl22_47 ),
    inference(avatar_contradiction_clause,[],[f3063]) ).

fof(f3063,plain,
    ( $false
    | spl22_21
    | spl22_47 ),
    inference(subsumption_resolution,[],[f3062,f911]) ).

fof(f3062,plain,
    ( sP0(xR)
    | spl22_47 ),
    inference(resolution,[],[f3060,f127]) ).

fof(f3060,plain,
    ( ~ aElement0(sK10(xR))
    | spl22_47 ),
    inference(avatar_component_clause,[],[f3058]) ).

fof(f3061,plain,
    ( ~ spl22_46
    | ~ spl22_47
    | spl22_43 ),
    inference(avatar_split_clause,[],[f3046,f3031,f3058,f3054]) ).

fof(f3054,plain,
    ( spl22_46
  <=> sdtmndtplgtdt0(sK10(xR),xR,xu) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_46])]) ).

fof(f3031,plain,
    ( spl22_43
  <=> sdtmndtasgtdt0(sK10(xR),xR,xb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_43])]) ).

fof(f3046,plain,
    ( ~ aElement0(sK10(xR))
    | ~ sdtmndtplgtdt0(sK10(xR),xR,xu)
    | spl22_43 ),
    inference(resolution,[],[f3033,f852]) ).

fof(f3033,plain,
    ( ~ sdtmndtasgtdt0(sK10(xR),xR,xb)
    | spl22_43 ),
    inference(avatar_component_clause,[],[f3031]) ).

fof(f3045,plain,
    ( spl22_21
    | spl22_45 ),
    inference(avatar_contradiction_clause,[],[f3044]) ).

fof(f3044,plain,
    ( $false
    | spl22_21
    | spl22_45 ),
    inference(subsumption_resolution,[],[f3043,f911]) ).

fof(f3043,plain,
    ( sP0(xR)
    | spl22_45 ),
    inference(resolution,[],[f3041,f128]) ).

fof(f3041,plain,
    ( ~ aElement0(sK11(xR))
    | spl22_45 ),
    inference(avatar_component_clause,[],[f3039]) ).

fof(f3042,plain,
    ( ~ spl22_43
    | ~ spl22_44
    | ~ spl22_45
    | spl22_21 ),
    inference(avatar_split_clause,[],[f2222,f909,f3039,f3035,f3031]) ).

fof(f3035,plain,
    ( spl22_44
  <=> sdtmndtplgtdt0(sK11(xR),xR,xu) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_44])]) ).

fof(f2222,plain,
    ( ~ aElement0(sK11(xR))
    | ~ sdtmndtplgtdt0(sK11(xR),xR,xu)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xb)
    | spl22_21 ),
    inference(subsumption_resolution,[],[f2221,f114]) ).

fof(f2221,plain,
    ( ~ aElement0(sK11(xR))
    | ~ sdtmndtplgtdt0(sK11(xR),xR,xu)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xb)
    | ~ aElement0(xb)
    | spl22_21 ),
    inference(subsumption_resolution,[],[f2192,f911]) ).

fof(f2192,plain,
    ( ~ aElement0(sK11(xR))
    | ~ sdtmndtplgtdt0(sK11(xR),xR,xu)
    | sP0(xR)
    | ~ sdtmndtasgtdt0(sK10(xR),xR,xb)
    | ~ aElement0(xb) ),
    inference(resolution,[],[f852,f131]) ).

fof(f2882,plain,
    ( ~ spl22_14
    | ~ spl22_18
    | ~ spl22_20
    | spl22_36 ),
    inference(avatar_contradiction_clause,[],[f2881]) ).

fof(f2881,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_20
    | spl22_36 ),
    inference(subsumption_resolution,[],[f2880,f114]) ).

fof(f2880,plain,
    ( ~ aElement0(xb)
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_20
    | spl22_36 ),
    inference(subsumption_resolution,[],[f2859,f2639]) ).

fof(f2859,plain,
    ( aElement0(sK8(xb,xu))
    | ~ aElement0(xb)
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_20 ),
    inference(resolution,[],[f2820,f109]) ).

fof(f2820,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | aElement0(sK8(X0,xu))
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_20 ),
    inference(forward_demodulation,[],[f2601,f2581]) ).

fof(f2601,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_18
    | ~ spl22_20 ),
    inference(forward_demodulation,[],[f2592,f567]) ).

fof(f2592,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xu,xR,X0)
        | ~ aElement0(X0)
        | aElement0(sK8(X0,xw)) )
    | ~ spl22_18
    | ~ spl22_20 ),
    inference(superposition,[],[f906,f641]) ).

fof(f906,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | aElement0(sK8(X0,xw)) )
    | ~ spl22_20 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f905,plain,
    ( spl22_20
  <=> ! [X0] :
        ( aElement0(sK8(X0,xw))
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(xw,xR,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).

fof(f2580,plain,
    ( ~ spl22_26
    | ~ spl22_14
    | spl22_19 ),
    inference(avatar_split_clause,[],[f1722,f901,f565,f1477]) ).

fof(f1722,plain,
    ( ~ iLess0(xv,xa)
    | ~ spl22_14
    | spl22_19 ),
    inference(superposition,[],[f903,f567]) ).

fof(f903,plain,
    ( ~ iLess0(xw,xa)
    | spl22_19 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f2564,plain,
    ( ~ spl22_14
    | spl22_19
    | ~ spl22_25
    | ~ spl22_26 ),
    inference(avatar_contradiction_clause,[],[f2563]) ).

fof(f2563,plain,
    ( $false
    | ~ spl22_14
    | spl22_19
    | ~ spl22_25
    | ~ spl22_26 ),
    inference(global_subsumption,[],[f1475,f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f296,f299,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f359,f375,f355,f391,f392,f397,f398,f167,f428,f430,f431,f158,f491,f498,f489,f170,f528,f530,f531,f539,f540,f414,f417,f171,f611,f613,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f766,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1055,f1057,f1058,f124,f1185,f1190,f1183,f125,f1234,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f903,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2342,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2471,f2472,f2473,f2474,f2475,f2484,f2486,f2554,f2556,f1722,f1478]) ).

fof(f2562,plain,
    ( ~ spl22_14
    | spl22_19
    | ~ spl22_26 ),
    inference(avatar_contradiction_clause,[],[f2561]) ).

fof(f2561,plain,
    ( $false
    | ~ spl22_14
    | spl22_19
    | ~ spl22_26 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f296,f299,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f359,f375,f355,f391,f392,f397,f398,f167,f428,f430,f431,f158,f491,f498,f489,f170,f528,f530,f531,f539,f540,f414,f417,f171,f611,f613,f614,f590,f420,f423,f118,f684,f688,f694,f696,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f766,f780,f764,f537,f795,f792,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1055,f1057,f1058,f124,f1185,f1190,f1183,f125,f1234,f1239,f1232,f1251,f1271,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f903,f567,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2342,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2471,f2472,f2473,f2474,f2475,f2484,f2486,f2554,f2556,f1722,f1478]) ).

fof(f2559,plain,
    ( ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17
    | spl22_19 ),
    inference(avatar_contradiction_clause,[],[f2558]) ).

fof(f2558,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17
    | spl22_19 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f296,f299,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f392,f397,f398,f167,f428,f430,f431,f158,f491,f498,f489,f170,f528,f530,f531,f539,f540,f414,f417,f171,f611,f613,f614,f590,f420,f423,f637,f648,f652,f118,f684,f688,f694,f696,f699,f700,f649,f724,f534,f737,f734,f123,f769,f771,f773,f775,f766,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1055,f1057,f1058,f124,f1185,f1190,f1183,f125,f1234,f1239,f1232,f1251,f1271,f1274,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1407,f1408,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f903,f567,f1718,f1721,f1275,f1272,f1763,f1764,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f1720,f2101,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2342,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2471,f2472,f2473,f2474,f2475,f2484,f2486,f2152,f2514,f2509,f2516,f2527,f2526,f2532,f2554,f2555,f2556,f2557,f1722]) ).

fof(f2557,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xv,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f296,f299,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f392,f397,f398,f167,f428,f430,f431,f158,f491,f498,f489,f170,f528,f530,f531,f539,f540,f414,f417,f171,f611,f613,f614,f590,f420,f423,f637,f648,f652,f118,f684,f688,f694,f696,f699,f700,f649,f724,f534,f737,f734,f123,f769,f771,f773,f775,f766,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1055,f1057,f1058,f124,f1185,f1190,f1183,f125,f1234,f1239,f1232,f1251,f1271,f1274,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1407,f1408,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1718,f1721,f1275,f1272,f1763,f1764,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f1720,f2101,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2342,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2471,f2472,f2473,f2474,f2475,f2484,f2486,f2152,f2514,f2509,f2516,f2527,f2526,f2532,f2554,f2555,f2556]) ).

fof(f2555,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xv))
        | ~ sdtmndtasgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f296,f299,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f392,f397,f398,f167,f428,f430,f431,f158,f491,f498,f489,f170,f528,f530,f531,f539,f540,f414,f417,f171,f611,f613,f614,f590,f420,f423,f637,f648,f652,f118,f684,f688,f694,f696,f699,f700,f649,f724,f534,f737,f734,f123,f769,f771,f773,f775,f766,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f599,f829,f832,f834,f835,f837,f839,f602,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f892,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1055,f1057,f1058,f124,f1185,f1190,f1183,f125,f1234,f1239,f1232,f1251,f1271,f1274,f136,f1340,f1341,f1343,f1345,f1250,f1374,f1376,f1378,f1381,f137,f1394,f1395,f1397,f1399,f1407,f1408,f1372,f1418,f1420,f1422,f1425,f1428,f682,f686,f567,f1718,f1721,f1275,f1272,f1763,f1764,f1710,f1769,f1712,f1782,f1713,f1714,f1779,f1828,f890,f1720,f2101,f813,f2175,f2176,f2177,f2184,f852,f2208,f2209,f2210,f2224,f697,f2342,f2343,f2345,f2347,f2355,f2356,f2353,f1717,f2471,f2472,f2473,f2474,f2475,f2484,f2486,f2152,f2514,f2509,f2516,f2527,f2526,f2532,f2554]) ).

fof(f2532,plain,
    ( iLess0(xv,xa)
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f2528,f113]) ).

fof(f2528,plain,
    ( iLess0(xv,xa)
    | ~ aElement0(xa)
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f2526,f108]) ).

fof(f2526,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | iLess0(xv,X0)
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f2525,f100]) ).

fof(f2525,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | iLess0(xv,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(duplicate_literal_removal,[],[f2523]) ).

fof(f2523,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | iLess0(xv,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f2516,f355]) ).

fof(f2527,plain,
    ( ! [X0] :
        ( iLess0(xv,sK21(xu,xR,X0))
        | aReductOfIn0(xu,X0,xR)
        | ~ sP6(xu,xR,X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f2524,f161]) ).

fof(f2524,plain,
    ( ! [X0] :
        ( ~ aElement0(sK21(xu,xR,X0))
        | iLess0(xv,sK21(xu,xR,X0))
        | aReductOfIn0(xu,X0,xR)
        | ~ sP6(xu,xR,X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f2516,f163]) ).

fof(f2516,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | iLess0(xv,X0) )
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f2515,f243]) ).

fof(f2515,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | iLess0(xv,X0)
        | ~ sP4(xR) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f2508,f104]) ).

fof(f2508,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | iLess0(xv,X0)
        | ~ aElement0(xv)
        | ~ sP4(xR) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(duplicate_literal_removal,[],[f2498]) ).

fof(f2498,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | iLess0(xv,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ sP4(xR) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f2152,f147]) ).

fof(f2509,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sP6(xv,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(duplicate_literal_removal,[],[f2497]) ).

fof(f2497,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sP6(xv,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f2152,f165]) ).

fof(f2514,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xv)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(X1) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f2513,f100]) ).

fof(f2513,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xv)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f2510,f104]) ).

fof(f2510,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xv)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(duplicate_literal_removal,[],[f2496]) ).

fof(f2496,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xv)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f2152,f170]) ).

fof(f2152,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f648,f567]) ).

fof(f2101,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f2100,f100]) ).

fof(f2100,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f2099,f104]) ).

fof(f2099,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f1720,f215]) ).

fof(f1720,plain,
    ( ! [X0] :
        ( sP6(xv,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(superposition,[],[f649,f567]) ).

fof(f1764,plain,
    ( ! [X0] :
        ( sP6(xv,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f1758,f107]) ).

fof(f1758,plain,
    ( ! [X0] :
        ( sP6(xv,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR)
        | ~ aElement0(xu) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f1272,f165]) ).

fof(f1763,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f1762,f100]) ).

fof(f1762,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f1761,f107]) ).

fof(f1761,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f1757,f104]) ).

fof(f1757,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xv)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f1272,f170]) ).

fof(f1272,plain,
    ( sdtmndtplgtdt0(xu,xR,xv)
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(superposition,[],[f637,f567]) ).

fof(f1275,plain,
    ( iLess0(xv,xu)
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(superposition,[],[f652,f567]) ).

fof(f1721,plain,
    ( iLess0(xv,xu)
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(superposition,[],[f652,f567]) ).

fof(f1718,plain,
    ( sdtmndtplgtdt0(xu,xR,xv)
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(superposition,[],[f637,f567]) ).

fof(f1408,plain,
    ( ! [X0] :
        ( sP6(xv,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f1402,f107]) ).

fof(f1402,plain,
    ( ! [X0] :
        ( sP6(xv,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR)
        | ~ aElement0(xu) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f1272,f165]) ).

fof(f1407,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f1406,f100]) ).

fof(f1406,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f1405,f107]) ).

fof(f1405,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f1401,f104]) ).

fof(f1401,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xv)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(resolution,[],[f1272,f170]) ).

fof(f1274,plain,
    ( ! [X0] :
        ( sP6(xv,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_14
    | ~ spl22_17 ),
    inference(superposition,[],[f649,f567]) ).

fof(f724,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xw)
        | ~ aElement0(X0) )
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f723,f100]) ).

fof(f723,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f722,f110]) ).

fof(f722,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xw)
        | ~ aElement0(xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_17 ),
    inference(resolution,[],[f649,f215]) ).

fof(f649,plain,
    ( ! [X0] :
        ( sP6(xw,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR) )
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f644,f107]) ).

fof(f644,plain,
    ( ! [X0] :
        ( sP6(xw,xR,X0)
        | ~ aReductOfIn0(xu,X0,xR)
        | ~ aElement0(xu) )
    | ~ spl22_17 ),
    inference(resolution,[],[f637,f165]) ).

fof(f652,plain,
    ( iLess0(xw,xu)
    | ~ spl22_5
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f651,f243]) ).

fof(f651,plain,
    ( iLess0(xw,xu)
    | ~ sP4(xR)
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f650,f107]) ).

fof(f650,plain,
    ( iLess0(xw,xu)
    | ~ aElement0(xu)
    | ~ sP4(xR)
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f645,f110]) ).

fof(f645,plain,
    ( iLess0(xw,xu)
    | ~ aElement0(xw)
    | ~ aElement0(xu)
    | ~ sP4(xR)
    | ~ spl22_17 ),
    inference(resolution,[],[f637,f147]) ).

fof(f648,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(X0) )
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f647,f100]) ).

fof(f647,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f646,f107]) ).

fof(f646,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f643,f110]) ).

fof(f643,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        | ~ sdtmndtplgtdt0(X0,xR,xu)
        | ~ aElement0(xw)
        | ~ aElement0(xu)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_17 ),
    inference(resolution,[],[f637,f170]) ).

fof(f2531,plain,
    ( ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17
    | spl22_26 ),
    inference(avatar_contradiction_clause,[],[f2530]) ).

fof(f2530,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17
    | spl22_26 ),
    inference(subsumption_resolution,[],[f2529,f113]) ).

fof(f2529,plain,
    ( ~ aElement0(xa)
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_17
    | spl22_26 ),
    inference(subsumption_resolution,[],[f2528,f1479]) ).

fof(f2365,plain,
    ( ~ spl22_41
    | spl22_42
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(avatar_split_clause,[],[f2303,f2229,f246,f2362,f2358]) ).

fof(f2358,plain,
    ( spl22_41
  <=> sdtmndtplgtdt0(xb,xR,xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_41])]) ).

fof(f2303,plain,
    ( aElement0(sK8(xc,xb))
    | ~ sdtmndtplgtdt0(xb,xR,xa)
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2302,f114]) ).

fof(f2302,plain,
    ( aElement0(sK8(xc,xb))
    | ~ sdtmndtplgtdt0(xb,xR,xa)
    | ~ aElement0(xb)
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2294,f115]) ).

fof(f2294,plain,
    ( ~ aElement0(xc)
    | aElement0(sK8(xc,xb))
    | ~ sdtmndtplgtdt0(xb,xR,xa)
    | ~ aElement0(xb)
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(resolution,[],[f2291,f537]) ).

fof(f2291,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xb,xR,X0)
        | ~ aElement0(X0)
        | aElement0(sK8(X0,xb)) )
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2290,f114]) ).

fof(f2290,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xb))
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(xb,xR,X0)
        | ~ aElement0(xb) )
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(subsumption_resolution,[],[f2280,f100]) ).

fof(f2280,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xb))
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(xb,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xb) )
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(duplicate_literal_removal,[],[f2279]) ).

fof(f2279,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xb))
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(xb,xR,X0)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xb) )
    | ~ spl22_6
    | ~ spl22_39 ),
    inference(resolution,[],[f2268,f169]) ).

fof(f2243,plain,
    spl22_39,
    inference(avatar_contradiction_clause,[],[f2242]) ).

fof(f2242,plain,
    ( $false
    | spl22_39 ),
    inference(subsumption_resolution,[],[f2241,f100]) ).

fof(f2241,plain,
    ( ~ aRewritingSystem0(xR)
    | spl22_39 ),
    inference(subsumption_resolution,[],[f2238,f114]) ).

fof(f2238,plain,
    ( ~ aElement0(xb)
    | ~ aRewritingSystem0(xR)
    | spl22_39 ),
    inference(resolution,[],[f2231,f173]) ).

fof(f2231,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,xb)
    | spl22_39 ),
    inference(avatar_component_clause,[],[f2229]) ).

fof(f2236,plain,
    ( ~ spl22_39
    | ~ spl22_40
    | ~ spl22_2 ),
    inference(avatar_split_clause,[],[f2220,f187,f2233,f2229]) ).

fof(f2233,plain,
    ( spl22_40
  <=> sdtmndtplgtdt0(xd,xR,xu) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_40])]) ).

fof(f2220,plain,
    ( ~ sdtmndtplgtdt0(xd,xR,xu)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f2219,f114]) ).

fof(f2219,plain,
    ( ~ sdtmndtplgtdt0(xd,xR,xu)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xb)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f2191,f188]) ).

fof(f2191,plain,
    ( ~ aElement0(xd)
    | ~ sdtmndtplgtdt0(xd,xR,xu)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xb) ),
    inference(resolution,[],[f852,f99]) ).

fof(f2123,plain,
    ( spl22_13
    | ~ spl22_14
    | ~ spl22_24
    | ~ spl22_27
    | spl22_28
    | ~ spl22_33 ),
    inference(avatar_contradiction_clause,[],[f2122]) ).

fof(f2122,plain,
    ( $false
    | spl22_13
    | ~ spl22_14
    | ~ spl22_24
    | ~ spl22_27
    | spl22_28
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f2121,f104]) ).

fof(f2121,plain,
    ( ~ aElement0(xv)
    | spl22_13
    | ~ spl22_14
    | ~ spl22_24
    | ~ spl22_27
    | spl22_28
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f2117,f1362]) ).

fof(f1362,plain,
    ( ~ sdtmndtplgtdt0(xv,xR,xv)
    | spl22_13
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f562,f567]) ).

fof(f562,plain,
    ( ~ sdtmndtplgtdt0(xv,xR,xw)
    | spl22_13 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl22_13
  <=> sdtmndtplgtdt0(xv,xR,xw) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).

fof(f2117,plain,
    ( sdtmndtplgtdt0(xv,xR,xv)
    | ~ aElement0(xv)
    | ~ spl22_14
    | ~ spl22_24
    | ~ spl22_27
    | spl22_28
    | ~ spl22_33 ),
    inference(resolution,[],[f2077,f1752]) ).

fof(f2077,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,sK19(xR,xv))
        | sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_24
    | spl22_28
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f2076,f100]) ).

fof(f2076,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,sK19(xR,xv))
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_24
    | spl22_28
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f2075,f1875]) ).

fof(f2075,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,sK19(xR,xv))
        | ~ aElement0(sK19(xR,xv))
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_24
    | spl22_28
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f2070,f104]) ).

fof(f2070,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xv)
        | ~ sdtmndtplgtdt0(X0,xR,sK19(xR,xv))
        | ~ aElement0(xv)
        | ~ aElement0(sK19(xR,xv))
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_24
    | spl22_28
    | ~ spl22_33 ),
    inference(resolution,[],[f2067,f170]) ).

fof(f2067,plain,
    ( sdtmndtplgtdt0(sK19(xR,xv),xR,xv)
    | ~ spl22_14
    | ~ spl22_24
    | spl22_28
    | ~ spl22_33 ),
    inference(subsumption_resolution,[],[f1859,f1875]) ).

fof(f1859,plain,
    ( sdtmndtplgtdt0(sK19(xR,xv),xR,xv)
    | ~ aElement0(sK19(xR,xv))
    | ~ spl22_14
    | ~ spl22_24
    | spl22_28 ),
    inference(subsumption_resolution,[],[f1858,f100]) ).

fof(f1858,plain,
    ( sdtmndtplgtdt0(sK19(xR,xv),xR,xv)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(sK19(xR,xv))
    | ~ spl22_14
    | ~ spl22_24
    | spl22_28 ),
    inference(subsumption_resolution,[],[f1857,f104]) ).

fof(f1857,plain,
    ( sdtmndtplgtdt0(sK19(xR,xv),xR,xv)
    | ~ aElement0(xv)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(sK19(xR,xv))
    | ~ spl22_14
    | ~ spl22_24
    | spl22_28 ),
    inference(subsumption_resolution,[],[f1851,f1729]) ).

fof(f1729,plain,
    ( xv != sK19(xR,xv)
    | ~ spl22_14
    | spl22_28 ),
    inference(superposition,[],[f1539,f567]) ).

fof(f1539,plain,
    ( xw != sK19(xR,xw)
    | spl22_28 ),
    inference(avatar_component_clause,[],[f1538]) ).

fof(f1538,plain,
    ( spl22_28
  <=> xw = sK19(xR,xw) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_28])]) ).

fof(f1851,plain,
    ( xv = sK19(xR,xv)
    | sdtmndtplgtdt0(sK19(xR,xv),xR,xv)
    | ~ aElement0(xv)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(sK19(xR,xv))
    | ~ spl22_14
    | ~ spl22_24 ),
    inference(resolution,[],[f1727,f167]) ).

fof(f1727,plain,
    ( sdtmndtasgtdt0(sK19(xR,xv),xR,xv)
    | ~ spl22_14
    | ~ spl22_24 ),
    inference(superposition,[],[f1215,f567]) ).

fof(f1215,plain,
    ( sdtmndtasgtdt0(sK19(xR,xw),xR,xw)
    | ~ spl22_24 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f1213,plain,
    ( spl22_24
  <=> sdtmndtasgtdt0(sK19(xR,xw),xR,xw) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).

fof(f2042,plain,
    spl22_37,
    inference(avatar_contradiction_clause,[],[f2041]) ).

fof(f2041,plain,
    ( $false
    | spl22_37 ),
    inference(subsumption_resolution,[],[f2040,f100]) ).

fof(f2040,plain,
    ( ~ aRewritingSystem0(xR)
    | spl22_37 ),
    inference(subsumption_resolution,[],[f2039,f102]) ).

fof(f2039,plain,
    ( ~ isLocallyConfluent0(xR)
    | ~ aRewritingSystem0(xR)
    | spl22_37 ),
    inference(resolution,[],[f2034,f174]) ).

fof(f2034,plain,
    ( ~ sP2(xR)
    | spl22_37 ),
    inference(avatar_component_clause,[],[f2032]) ).

fof(f2038,plain,
    ( ~ spl22_37
    | spl22_38 ),
    inference(avatar_split_clause,[],[f890,f2036,f2032]) ).

fof(f2036,plain,
    ( spl22_38
  <=> ! [X0] :
        ( aElement0(sK16(xR,X0,xv))
        | ~ aElement0(X0)
        | ~ aReductOfIn0(X0,xa,xR) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_38])]) ).

fof(f1980,plain,
    ( ~ spl22_35
    | spl22_36
    | ~ spl22_14
    | ~ spl22_20 ),
    inference(avatar_split_clause,[],[f1967,f905,f565,f1977,f1973]) ).

fof(f1973,plain,
    ( spl22_35
  <=> sdtmndtplgtdt0(xv,xR,xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_35])]) ).

fof(f1967,plain,
    ( aElement0(sK8(xb,xv))
    | ~ sdtmndtplgtdt0(xv,xR,xa)
    | ~ spl22_14
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1966,f104]) ).

fof(f1966,plain,
    ( aElement0(sK8(xb,xv))
    | ~ sdtmndtplgtdt0(xv,xR,xa)
    | ~ aElement0(xv)
    | ~ spl22_14
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1961,f114]) ).

fof(f1961,plain,
    ( aElement0(sK8(xb,xv))
    | ~ aElement0(xb)
    | ~ sdtmndtplgtdt0(xv,xR,xa)
    | ~ aElement0(xv)
    | ~ spl22_14
    | ~ spl22_20 ),
    inference(resolution,[],[f1918,f534]) ).

fof(f1918,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xv,xR,X0)
        | aElement0(sK8(X0,xv))
        | ~ aElement0(X0) )
    | ~ spl22_14
    | ~ spl22_20 ),
    inference(forward_demodulation,[],[f1917,f567]) ).

fof(f1917,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xv))
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(xw,xR,X0) )
    | ~ spl22_14
    | ~ spl22_20 ),
    inference(forward_demodulation,[],[f1551,f567]) ).

fof(f1551,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | aElement0(sK8(X0,xw))
        | ~ sdtmndtplgtdt0(xw,xR,X0) )
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1550,f110]) ).

fof(f1550,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | aElement0(sK8(X0,xw))
        | ~ sdtmndtplgtdt0(xw,xR,X0)
        | ~ aElement0(xw) )
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1001,f100]) ).

fof(f1001,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | aElement0(sK8(X0,xw))
        | ~ sdtmndtplgtdt0(xw,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xw) )
    | ~ spl22_20 ),
    inference(duplicate_literal_removal,[],[f1000]) ).

fof(f1000,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | aElement0(sK8(X0,xw))
        | ~ sdtmndtplgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xw) )
    | ~ spl22_20 ),
    inference(resolution,[],[f906,f169]) ).

fof(f1886,plain,
    spl22_33,
    inference(avatar_contradiction_clause,[],[f1885]) ).

fof(f1885,plain,
    ( $false
    | spl22_33 ),
    inference(subsumption_resolution,[],[f1884,f104]) ).

fof(f1884,plain,
    ( ~ aElement0(xv)
    | spl22_33 ),
    inference(subsumption_resolution,[],[f1883,f100]) ).

fof(f1883,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | spl22_33 ),
    inference(subsumption_resolution,[],[f1882,f103]) ).

fof(f1882,plain,
    ( ~ isTerminating0(xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | spl22_33 ),
    inference(resolution,[],[f1876,f203]) ).

fof(f1876,plain,
    ( ~ aElement0(sK19(xR,xv))
    | spl22_33 ),
    inference(avatar_component_clause,[],[f1874]) ).

fof(f1881,plain,
    ( ~ spl22_33
    | spl22_34
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_27 ),
    inference(avatar_split_clause,[],[f1867,f1534,f565,f242,f1878,f1874]) ).

fof(f1878,plain,
    ( spl22_34
  <=> iLess0(sK19(xR,xv),xv) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).

fof(f1867,plain,
    ( iLess0(sK19(xR,xv),xv)
    | ~ aElement0(sK19(xR,xv))
    | ~ spl22_5
    | ~ spl22_14
    | ~ spl22_27 ),
    inference(subsumption_resolution,[],[f1866,f243]) ).

fof(f1866,plain,
    ( iLess0(sK19(xR,xv),xv)
    | ~ aElement0(sK19(xR,xv))
    | ~ sP4(xR)
    | ~ spl22_14
    | ~ spl22_27 ),
    inference(subsumption_resolution,[],[f1862,f104]) ).

fof(f1862,plain,
    ( iLess0(sK19(xR,xv),xv)
    | ~ aElement0(sK19(xR,xv))
    | ~ aElement0(xv)
    | ~ sP4(xR)
    | ~ spl22_14
    | ~ spl22_27 ),
    inference(resolution,[],[f1752,f147]) ).

fof(f1751,plain,
    ( ~ spl22_14
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(avatar_contradiction_clause,[],[f1750]) ).

fof(f1750,plain,
    ( $false
    | ~ spl22_14
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(subsumption_resolution,[],[f1749,f104]) ).

fof(f1749,plain,
    ( ~ aElement0(xv)
    | ~ spl22_14
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(subsumption_resolution,[],[f1748,f100]) ).

fof(f1748,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | ~ spl22_14
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(subsumption_resolution,[],[f1747,f103]) ).

fof(f1747,plain,
    ( ~ isTerminating0(xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xv)
    | ~ spl22_14
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(resolution,[],[f1744,f203]) ).

fof(f1744,plain,
    ( ~ aElement0(sK19(xR,xv))
    | ~ spl22_14
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(forward_demodulation,[],[f1702,f567]) ).

fof(f1702,plain,
    ( ~ aElement0(sK19(xR,xw))
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(global_subsumption,[],[f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f296,f299,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f359,f375,f355,f391,f392,f397,f398,f167,f428,f430,f431,f158,f491,f498,f489,f170,f528,f530,f531,f539,f540,f414,f417,f171,f611,f613,f614,f590,f420,f423,f118,f684,f688,f694,f696,f697,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f766,f780,f764,f537,f795,f792,f596,f813,f599,f829,f832,f834,f835,f837,f839,f602,f852,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f890,f892,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1055,f1057,f1058,f124,f1185,f1190,f1183,f125,f1234,f1239,f1232,f136,f1340,f1341,f1343,f1345,f137,f1394,f1395,f1397,f1399,f682,f1210,f1544,f1546,f1539,f1535,f1578,f686,f1701]) ).

fof(f1701,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | aElement0(sK8(X0,sK19(xR,xw)))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(sK19(xR,xw))
        | ~ aElement0(X0) )
    | ~ spl22_23 ),
    inference(subsumption_resolution,[],[f1486,f110]) ).

fof(f1486,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | aElement0(sK8(X0,sK19(xR,xw)))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(sK19(xR,xw))
        | ~ aElement0(X0)
        | ~ aElement0(xw) )
    | ~ spl22_23 ),
    inference(resolution,[],[f1210,f118]) ).

fof(f1578,plain,
    ( ~ aReductOfIn0(sK19(xR,xw),xw,xR)
    | spl22_27 ),
    inference(subsumption_resolution,[],[f1577,f110]) ).

fof(f1577,plain,
    ( ~ aElement0(xw)
    | ~ aReductOfIn0(sK19(xR,xw),xw,xR)
    | spl22_27 ),
    inference(subsumption_resolution,[],[f1576,f100]) ).

fof(f1576,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ aReductOfIn0(sK19(xR,xw),xw,xR)
    | spl22_27 ),
    inference(resolution,[],[f1535,f355]) ).

fof(f1535,plain,
    ( ~ sdtmndtplgtdt0(xw,xR,sK19(xR,xw))
    | spl22_27 ),
    inference(avatar_component_clause,[],[f1534]) ).

fof(f1546,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK19(xR,xw))
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(sK19(xR,xw))
        | ~ aElement0(X0) )
    | ~ spl22_23 ),
    inference(subsumption_resolution,[],[f1545,f100]) ).

fof(f1545,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK19(xR,xw))
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(sK19(xR,xw))
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_23 ),
    inference(subsumption_resolution,[],[f1490,f110]) ).

fof(f1490,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK19(xR,xw))
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(sK19(xR,xw))
        | ~ aElement0(xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_23 ),
    inference(resolution,[],[f1210,f171]) ).

fof(f1544,plain,
    ( xw = sK19(xR,xw)
    | sdtmndtplgtdt0(xw,xR,sK19(xR,xw))
    | ~ aElement0(sK19(xR,xw))
    | ~ spl22_23 ),
    inference(subsumption_resolution,[],[f1543,f110]) ).

fof(f1543,plain,
    ( xw = sK19(xR,xw)
    | sdtmndtplgtdt0(xw,xR,sK19(xR,xw))
    | ~ aElement0(sK19(xR,xw))
    | ~ aElement0(xw)
    | ~ spl22_23 ),
    inference(subsumption_resolution,[],[f1491,f100]) ).

fof(f1491,plain,
    ( xw = sK19(xR,xw)
    | sdtmndtplgtdt0(xw,xR,sK19(xR,xw))
    | ~ aElement0(sK19(xR,xw))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ spl22_23 ),
    inference(resolution,[],[f1210,f167]) ).

fof(f1698,plain,
    ( ~ spl22_2
    | ~ spl22_19
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(avatar_contradiction_clause,[],[f1697]) ).

fof(f1697,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_19
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(subsumption_resolution,[],[f1696,f110]) ).

fof(f1696,plain,
    ( ~ aElement0(xw)
    | ~ spl22_2
    | ~ spl22_19
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(subsumption_resolution,[],[f1695,f100]) ).

fof(f1695,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ spl22_2
    | ~ spl22_19
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(subsumption_resolution,[],[f1694,f103]) ).

fof(f1694,plain,
    ( ~ isTerminating0(xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ spl22_2
    | ~ spl22_19
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(resolution,[],[f1691,f203]) ).

fof(f1691,plain,
    ( ~ aElement0(sK19(xR,xw))
    | ~ spl22_2
    | ~ spl22_19
    | ~ spl22_23
    | spl22_27
    | spl22_28 ),
    inference(global_subsumption,[],[f1690,f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f296,f299,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f359,f375,f355,f391,f392,f397,f398,f167,f428,f430,f431,f158,f491,f498,f489,f170,f528,f530,f531,f539,f540,f414,f417,f171,f611,f613,f614,f590,f420,f423,f118,f684,f688,f694,f696,f697,f699,f700,f534,f737,f734,f123,f769,f771,f773,f775,f766,f780,f764,f537,f795,f792,f596,f813,f599,f829,f832,f834,f835,f837,f839,f602,f852,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f890,f892,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f120,f1037,f1038,f1040,f1042,f1044,f1046,f1055,f1057,f1058,f124,f1185,f1190,f1183,f125,f1234,f1239,f1232,f136,f1340,f1341,f1343,f1345,f137,f1394,f1395,f1397,f1399,f682,f1210,f1544,f1546,f1539,f1535,f1578,f686]) ).

fof(f1690,plain,
    ( aElement0(sK8(sK19(xR,xw),xd))
    | ~ aElement0(sK19(xR,xw))
    | ~ spl22_2
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f1689,f103]) ).

fof(f1689,plain,
    ( aElement0(sK8(sK19(xR,xw),xd))
    | ~ aElement0(sK19(xR,xw))
    | ~ isTerminating0(xR)
    | ~ spl22_2
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f1688,f110]) ).

fof(f1688,plain,
    ( aElement0(sK8(sK19(xR,xw),xd))
    | ~ aElement0(sK19(xR,xw))
    | ~ aElement0(xw)
    | ~ isTerminating0(xR)
    | ~ spl22_2
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f1673,f100]) ).

fof(f1673,plain,
    ( aElement0(sK8(sK19(xR,xw),xd))
    | ~ aElement0(sK19(xR,xw))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ isTerminating0(xR)
    | ~ spl22_2
    | ~ spl22_19 ),
    inference(resolution,[],[f1563,f206]) ).

fof(f1563,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xw,xR,X0)
        | aElement0(sK8(X0,xd))
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f690,f902]) ).

fof(f690,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | aElement0(sK8(X0,xd))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f689,f110]) ).

fof(f689,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | aElement0(sK8(X0,xd))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xw) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f670,f188]) ).

fof(f670,plain,
    ! [X0] :
      ( ~ iLess0(xw,xa)
      | aElement0(sK8(X0,xd))
      | ~ sdtmndtasgtdt0(xw,xR,X0)
      | ~ aElement0(xd)
      | ~ aElement0(X0)
      | ~ aElement0(xw) ),
    inference(resolution,[],[f118,f208]) ).

fof(f1603,plain,
    ( spl22_31
    | ~ spl22_32 ),
    inference(avatar_split_clause,[],[f686,f1600,f1597]) ).

fof(f1587,plain,
    ( ~ spl22_29
    | ~ spl22_30
    | ~ spl22_2 ),
    inference(avatar_split_clause,[],[f1559,f187,f1584,f1580]) ).

fof(f1580,plain,
    ( spl22_29
  <=> sdtmndtasgtdt0(xb,xR,xw) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_29])]) ).

fof(f1584,plain,
    ( spl22_30
  <=> sdtmndtasgtdt0(xd,xR,xu) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_30])]) ).

fof(f1559,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,xu)
    | ~ sdtmndtasgtdt0(xb,xR,xw)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f1558,f110]) ).

fof(f1558,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,xu)
    | ~ sdtmndtasgtdt0(xb,xR,xw)
    | ~ aElement0(xw)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f857,f188]) ).

fof(f857,plain,
    ( ~ sdtmndtasgtdt0(xd,xR,xu)
    | ~ aElement0(xd)
    | ~ sdtmndtasgtdt0(xb,xR,xw)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f605,f99]) ).

fof(f1541,plain,
    ( spl22_27
    | spl22_28
    | ~ spl22_3
    | ~ spl22_10
    | ~ spl22_23 ),
    inference(avatar_split_clause,[],[f1506,f1209,f437,f221,f1538,f1534]) ).

fof(f221,plain,
    ( spl22_3
  <=> aElement0(sK19(xR,xd)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).

fof(f437,plain,
    ( spl22_10
  <=> xw = xd ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).

fof(f1506,plain,
    ( xw = sK19(xR,xw)
    | sdtmndtplgtdt0(xw,xR,sK19(xR,xw))
    | ~ spl22_3
    | ~ spl22_10
    | ~ spl22_23 ),
    inference(subsumption_resolution,[],[f1505,f110]) ).

fof(f1505,plain,
    ( xw = sK19(xR,xw)
    | sdtmndtplgtdt0(xw,xR,sK19(xR,xw))
    | ~ aElement0(xw)
    | ~ spl22_3
    | ~ spl22_10
    | ~ spl22_23 ),
    inference(subsumption_resolution,[],[f1504,f100]) ).

fof(f1504,plain,
    ( xw = sK19(xR,xw)
    | sdtmndtplgtdt0(xw,xR,sK19(xR,xw))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ spl22_3
    | ~ spl22_10
    | ~ spl22_23 ),
    inference(subsumption_resolution,[],[f1491,f447]) ).

fof(f447,plain,
    ( aElement0(sK19(xR,xw))
    | ~ spl22_3
    | ~ spl22_10 ),
    inference(superposition,[],[f222,f439]) ).

fof(f439,plain,
    ( xw = xd
    | ~ spl22_10 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f222,plain,
    ( aElement0(sK19(xR,xd))
    | ~ spl22_3 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f1480,plain,
    ( spl22_25
    | ~ spl22_26 ),
    inference(avatar_split_clause,[],[f682,f1477,f1474]) ).

fof(f1458,plain,
    ( ~ spl22_2
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_14 ),
    inference(avatar_contradiction_clause,[],[f1457]) ).

fof(f1457,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f1451,f115]) ).

fof(f1451,plain,
    ( ~ aElement0(xc)
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_14 ),
    inference(resolution,[],[f1265,f544]) ).

fof(f1265,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xv,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_14 ),
    inference(superposition,[],[f455,f567]) ).

fof(f455,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_10 ),
    inference(superposition,[],[f343,f439]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xd,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f342,f188]) ).

fof(f342,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(xd,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xd) ),
    inference(subsumption_resolution,[],[f339,f100]) ).

fof(f339,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(xd,xR,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(xd) ),
    inference(resolution,[],[f214,f315]) ).

fof(f1245,plain,
    spl22_23,
    inference(avatar_contradiction_clause,[],[f1244]) ).

fof(f1244,plain,
    ( $false
    | spl22_23 ),
    inference(subsumption_resolution,[],[f1243,f103]) ).

fof(f1243,plain,
    ( ~ isTerminating0(xR)
    | spl22_23 ),
    inference(subsumption_resolution,[],[f1242,f110]) ).

fof(f1242,plain,
    ( ~ aElement0(xw)
    | ~ isTerminating0(xR)
    | spl22_23 ),
    inference(subsumption_resolution,[],[f1240,f100]) ).

fof(f1240,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ isTerminating0(xR)
    | spl22_23 ),
    inference(resolution,[],[f1211,f206]) ).

fof(f1211,plain,
    ( ~ sdtmndtasgtdt0(xw,xR,sK19(xR,xw))
    | spl22_23 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f1216,plain,
    ( ~ spl22_23
    | spl22_24
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_5
    | ~ spl22_10
    | ~ spl22_13
    | ~ spl22_19
    | ~ spl22_20 ),
    inference(avatar_split_clause,[],[f1195,f905,f901,f561,f437,f242,f221,f187,f1213,f1209]) ).

fof(f1195,plain,
    ( sdtmndtasgtdt0(sK19(xR,xw),xR,xw)
    | ~ sdtmndtasgtdt0(xw,xR,sK19(xR,xw))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_5
    | ~ spl22_10
    | ~ spl22_13
    | ~ spl22_19
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1194,f447]) ).

fof(f1194,plain,
    ( sdtmndtasgtdt0(sK19(xR,xw),xR,xw)
    | ~ sdtmndtasgtdt0(xw,xR,sK19(xR,xw))
    | ~ aElement0(sK19(xR,xw))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_5
    | ~ spl22_10
    | ~ spl22_13
    | ~ spl22_19
    | ~ spl22_20 ),
    inference(superposition,[],[f993,f1160]) ).

fof(f1160,plain,
    ( xw = sK8(sK19(xR,xw),xw)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_10
    | ~ spl22_19
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1159,f103]) ).

fof(f1159,plain,
    ( xw = sK8(sK19(xR,xw),xw)
    | ~ isTerminating0(xR)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_10
    | ~ spl22_19
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1158,f110]) ).

fof(f1158,plain,
    ( xw = sK8(sK19(xR,xw),xw)
    | ~ aElement0(xw)
    | ~ isTerminating0(xR)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_10
    | ~ spl22_19
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1157,f100]) ).

fof(f1157,plain,
    ( xw = sK8(sK19(xR,xw),xw)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ isTerminating0(xR)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_10
    | ~ spl22_19
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1138,f447]) ).

fof(f1138,plain,
    ( ~ aElement0(sK19(xR,xw))
    | xw = sK8(sK19(xR,xw),xw)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ isTerminating0(xR)
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_19
    | ~ spl22_20 ),
    inference(resolution,[],[f1130,f206]) ).

fof(f1130,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | xw = sK8(X0,xw) )
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_19
    | ~ spl22_20 ),
    inference(subsumption_resolution,[],[f1129,f906]) ).

fof(f1129,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | xw = sK8(X0,xw)
        | ~ aElement0(sK8(X0,xw)) )
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f1128,f455]) ).

fof(f1128,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | xw = sK8(X0,xw)
        | sdtmndtplgtdt0(xw,xR,sK8(X0,xw))
        | ~ aElement0(sK8(X0,xw)) )
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f1127,f110]) ).

fof(f1127,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | xw = sK8(X0,xw)
        | sdtmndtplgtdt0(xw,xR,sK8(X0,xw))
        | ~ aElement0(sK8(X0,xw))
        | ~ aElement0(xw) )
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f1112,f100]) ).

fof(f1112,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | xw = sK8(X0,xw)
        | sdtmndtplgtdt0(xw,xR,sK8(X0,xw))
        | ~ aElement0(sK8(X0,xw))
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xw) )
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_19 ),
    inference(resolution,[],[f1050,f167]) ).

fof(f1050,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xw,xR,sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_19 ),
    inference(forward_demodulation,[],[f1049,f439]) ).

fof(f1049,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xd,xR,sK8(X0,xd))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f1048,f110]) ).

fof(f1048,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xd,xR,sK8(X0,xd))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xw) )
    | ~ spl22_2
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f1047,f188]) ).

fof(f1047,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(xd,xR,sK8(X0,xd))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(xd)
        | ~ aElement0(X0)
        | ~ aElement0(xw) )
    | ~ spl22_19 ),
    inference(subsumption_resolution,[],[f1024,f902]) ).

fof(f1024,plain,
    ! [X0] :
      ( ~ iLess0(xw,xa)
      | sdtmndtasgtdt0(xd,xR,sK8(X0,xd))
      | ~ sdtmndtasgtdt0(xw,xR,X0)
      | ~ aElement0(xd)
      | ~ aElement0(X0)
      | ~ aElement0(xw) ),
    inference(resolution,[],[f120,f208]) ).

fof(f993,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_10
    | ~ spl22_13 ),
    inference(global_subsumption,[],[f992,f120,f125,f124,f137,f136,f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f296,f299,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f392,f397,f398,f167,f428,f430,f431,f439,f442,f466,f445,f446,f474,f158,f491,f493,f498,f489,f453,f505,f170,f528,f530,f531,f539,f540,f414,f417,f563,f171,f611,f613,f614,f590,f578,f420,f423,f441,f118,f682,f684,f686,f688,f692,f694,f696,f697,f699,f700,f575,f712,f534,f737,f734,f123,f769,f771,f773,f775,f779,f766,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f813,f599,f829,f832,f834,f835,f837,f839,f602,f852,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f890,f892,f574,f934,f931,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f936,f982,f981,f987,f988,f989]) ).

fof(f989,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_10
    | ~ spl22_13 ),
    inference(global_subsumption,[],[f120,f125,f124,f137,f136,f100,f102,f103,f104,f107,f110,f113,f114,f115,f101,f105,f106,f108,f109,f111,f112,f116,f117,f144,f152,f126,f127,f128,f138,f139,f140,f148,f149,f133,f145,f146,f174,f175,f176,f151,f99,f129,f130,f141,f142,f150,f164,f173,f181,f154,f155,f201,f166,f153,f203,f156,f208,f157,f213,f159,f160,f206,f147,f235,f233,f243,f255,f211,f161,f131,f261,f259,f143,f267,f265,f165,f271,f272,f273,f169,f296,f299,f162,f315,f295,f298,f316,f214,f344,f163,f347,f348,f215,f360,f357,f367,f369,f359,f375,f377,f355,f391,f392,f397,f398,f167,f428,f430,f431,f439,f442,f466,f445,f446,f474,f158,f491,f493,f498,f489,f453,f505,f170,f528,f530,f531,f539,f540,f414,f417,f563,f171,f611,f613,f614,f590,f578,f420,f423,f441,f118,f682,f684,f686,f688,f692,f694,f696,f697,f699,f700,f575,f712,f534,f737,f734,f123,f769,f771,f773,f775,f779,f766,f780,f764,f739,f784,f537,f795,f792,f797,f807,f596,f813,f599,f829,f832,f834,f835,f837,f839,f602,f852,f605,f868,f871,f873,f874,f876,f878,f135,f887,f888,f890,f892,f574,f934,f931,f119,f962,f963,f965,f967,f969,f971,f974,f976,f977,f936,f982,f981,f987,f988]) ).

fof(f988,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f959,f110]) ).

fof(f959,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(xw)
        | ~ aElement0(X0) )
    | ~ spl22_10 ),
    inference(duplicate_literal_removal,[],[f950]) ).

fof(f950,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(xw)
        | ~ aElement0(X0)
        | ~ aElement0(xw) )
    | ~ spl22_10 ),
    inference(resolution,[],[f119,f445]) ).

fof(f987,plain,
    ( iLess0(xw,xa)
    | ~ spl22_5
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f983,f113]) ).

fof(f983,plain,
    ( iLess0(xw,xa)
    | ~ aElement0(xa)
    | ~ spl22_5
    | ~ spl22_13 ),
    inference(resolution,[],[f981,f105]) ).

fof(f981,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xv,X0,xR)
        | iLess0(xw,X0)
        | ~ aElement0(X0) )
    | ~ spl22_5
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f980,f100]) ).

fof(f980,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | iLess0(xw,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aReductOfIn0(xv,X0,xR) )
    | ~ spl22_5
    | ~ spl22_13 ),
    inference(duplicate_literal_removal,[],[f978]) ).

fof(f978,plain,
    ( ! [X0] :
        ( ~ aElement0(X0)
        | iLess0(xw,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0)
        | ~ aReductOfIn0(xv,X0,xR) )
    | ~ spl22_5
    | ~ spl22_13 ),
    inference(resolution,[],[f936,f355]) ).

fof(f982,plain,
    ( ! [X0] :
        ( iLess0(xw,sK21(xv,xR,X0))
        | aReductOfIn0(xv,X0,xR)
        | ~ sP6(xv,xR,X0) )
    | ~ spl22_5
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f979,f161]) ).

fof(f979,plain,
    ( ! [X0] :
        ( ~ aElement0(sK21(xv,xR,X0))
        | iLess0(xw,sK21(xv,xR,X0))
        | aReductOfIn0(xv,X0,xR)
        | ~ sP6(xv,xR,X0) )
    | ~ spl22_5
    | ~ spl22_13 ),
    inference(resolution,[],[f936,f163]) ).

fof(f936,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | iLess0(xw,X0) )
    | ~ spl22_5
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f935,f243]) ).

fof(f935,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | iLess0(xw,X0)
        | ~ sP4(xR) )
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f930,f110]) ).

fof(f930,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | iLess0(xw,X0)
        | ~ aElement0(xw)
        | ~ sP4(xR) )
    | ~ spl22_13 ),
    inference(duplicate_literal_removal,[],[f923]) ).

fof(f923,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | iLess0(xw,X0)
        | ~ aElement0(xw)
        | ~ aElement0(X0)
        | ~ sP4(xR) )
    | ~ spl22_13 ),
    inference(resolution,[],[f574,f147]) ).

fof(f931,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | sP6(xw,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR) )
    | ~ spl22_13 ),
    inference(duplicate_literal_removal,[],[f922]) ).

fof(f922,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | sP6(xw,xR,X1)
        | ~ aReductOfIn0(X0,X1,xR)
        | ~ aElement0(X0) )
    | ~ spl22_13 ),
    inference(resolution,[],[f574,f165]) ).

fof(f934,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xw)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(X1) )
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f933,f100]) ).

fof(f933,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xw)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f932,f110]) ).

fof(f932,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xw)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_13 ),
    inference(duplicate_literal_removal,[],[f921]) ).

fof(f921,plain,
    ( ! [X0,X1] :
        ( ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0)
        | sdtmndtplgtdt0(X1,xR,xw)
        | ~ sdtmndtplgtdt0(X1,xR,X0)
        | ~ aElement0(xw)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X1) )
    | ~ spl22_13 ),
    inference(resolution,[],[f574,f170]) ).

fof(f574,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        | ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(X0) )
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f573,f100]) ).

fof(f573,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        | ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f572,f104]) ).

fof(f572,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        | ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f569,f110]) ).

fof(f569,plain,
    ( ! [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        | ~ sdtmndtplgtdt0(X0,xR,xv)
        | ~ aElement0(xw)
        | ~ aElement0(xv)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_13 ),
    inference(resolution,[],[f563,f170]) ).

fof(f779,plain,
    ( ! [X0] :
        ( aElement0(sK12(xR,X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ sP0(xR) )
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f767,f110]) ).

fof(f767,plain,
    ( ! [X0] :
        ( aElement0(sK12(xR,X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(xw)
        | ~ aElement0(X0)
        | ~ sP0(xR) )
    | ~ spl22_10 ),
    inference(duplicate_literal_removal,[],[f758]) ).

fof(f758,plain,
    ( ! [X0] :
        ( aElement0(sK12(xR,X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(xw)
        | ~ aElement0(X0)
        | ~ aElement0(xw)
        | ~ sP0(xR) )
    | ~ spl22_10 ),
    inference(resolution,[],[f123,f445]) ).

fof(f712,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xv,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xw)
        | ~ aElement0(X0) )
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f711,f100]) ).

fof(f711,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xv,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f710,f110]) ).

fof(f710,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xv,X0,xR)
        | sdtmndtplgtdt0(X0,xR,xw)
        | ~ aElement0(xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_13 ),
    inference(resolution,[],[f575,f215]) ).

fof(f575,plain,
    ( ! [X0] :
        ( sP6(xw,xR,X0)
        | ~ aReductOfIn0(xv,X0,xR) )
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f570,f104]) ).

fof(f570,plain,
    ( ! [X0] :
        ( sP6(xw,xR,X0)
        | ~ aReductOfIn0(xv,X0,xR)
        | ~ aElement0(xv) )
    | ~ spl22_13 ),
    inference(resolution,[],[f563,f165]) ).

fof(f692,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | aElement0(sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f680,f110]) ).

fof(f680,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | aElement0(sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(xw)
        | ~ aElement0(X0) )
    | ~ spl22_10 ),
    inference(duplicate_literal_removal,[],[f671]) ).

fof(f671,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | aElement0(sK8(X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(xw)
        | ~ aElement0(X0)
        | ~ aElement0(xw) )
    | ~ spl22_10 ),
    inference(resolution,[],[f118,f445]) ).

fof(f441,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_10 ),
    inference(superposition,[],[f99,f439]) ).

fof(f578,plain,
    ( iLess0(xw,xv)
    | ~ spl22_5
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f577,f243]) ).

fof(f577,plain,
    ( iLess0(xw,xv)
    | ~ sP4(xR)
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f576,f104]) ).

fof(f576,plain,
    ( iLess0(xw,xv)
    | ~ aElement0(xv)
    | ~ sP4(xR)
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f571,f110]) ).

fof(f571,plain,
    ( iLess0(xw,xv)
    | ~ aElement0(xw)
    | ~ aElement0(xv)
    | ~ sP4(xR)
    | ~ spl22_13 ),
    inference(resolution,[],[f563,f147]) ).

fof(f563,plain,
    ( sdtmndtplgtdt0(xv,xR,xw)
    | ~ spl22_13 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f505,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f504,f110]) ).

fof(f504,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xw) )
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f499,f100]) ).

fof(f499,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xw) )
    | ~ spl22_10 ),
    inference(resolution,[],[f453,f214]) ).

fof(f453,plain,
    ( ! [X0] : ~ sP6(X0,xR,xw)
    | ~ spl22_10 ),
    inference(superposition,[],[f315,f439]) ).

fof(f493,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xw,X0,xR)
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(X0) )
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f492,f100]) ).

fof(f492,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xw,X0,xR)
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f481,f110]) ).

fof(f481,plain,
    ( ! [X0] :
        ( aNormalFormOfIn0(xw,X0,xR)
        | ~ sdtmndtasgtdt0(X0,xR,xw)
        | ~ aElement0(xw)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(X0) )
    | ~ spl22_10 ),
    inference(resolution,[],[f158,f446]) ).

fof(f474,plain,
    ( ! [X0] : ~ sP6(X0,xR,xw)
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f473,f446]) ).

fof(f473,plain,
    ( ! [X0] :
        ( aReductOfIn0(X0,xw,xR)
        | ~ sP6(X0,xR,xw) )
    | ~ spl22_10 ),
    inference(resolution,[],[f446,f162]) ).

fof(f446,plain,
    ( ! [X0] : ~ aReductOfIn0(X0,xw,xR)
    | ~ spl22_10 ),
    inference(superposition,[],[f213,f439]) ).

fof(f445,plain,
    ( sdtmndtasgtdt0(xw,xR,xw)
    | ~ spl22_10 ),
    inference(superposition,[],[f208,f439]) ).

fof(f466,plain,
    ( ! [X0] : ~ aReductOfIn0(X0,xw,xR)
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f465,f110]) ).

fof(f465,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(X0,xw,xR)
        | ~ aElement0(xw) )
    | ~ spl22_10 ),
    inference(subsumption_resolution,[],[f462,f100]) ).

fof(f462,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(X0,xw,xR)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xw) )
    | ~ spl22_10 ),
    inference(resolution,[],[f442,f157]) ).

fof(f442,plain,
    ( aNormalFormOfIn0(xw,xw,xR)
    | ~ spl22_10 ),
    inference(superposition,[],[f101,f439]) ).

fof(f992,plain,
    ( ! [X0] :
        ( sdtmndtasgtdt0(X0,xR,sK8(X0,xw))
        | ~ iLess0(xw,xa)
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_10 ),
    inference(forward_demodulation,[],[f991,f439]) ).

fof(f991,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xd))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f990,f110]) ).

fof(f990,plain,
    ( ! [X0] :
        ( ~ iLess0(xw,xa)
        | sdtmndtasgtdt0(X0,xR,sK8(X0,xd))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xw) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f949,f188]) ).

fof(f949,plain,
    ! [X0] :
      ( ~ iLess0(xw,xa)
      | sdtmndtasgtdt0(X0,xR,sK8(X0,xd))
      | ~ sdtmndtasgtdt0(xw,xR,X0)
      | ~ aElement0(xd)
      | ~ aElement0(X0)
      | ~ aElement0(xw) ),
    inference(resolution,[],[f119,f208]) ).

fof(f986,plain,
    ( ~ spl22_5
    | ~ spl22_13
    | spl22_19 ),
    inference(avatar_contradiction_clause,[],[f985]) ).

fof(f985,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_13
    | spl22_19 ),
    inference(subsumption_resolution,[],[f984,f113]) ).

fof(f984,plain,
    ( ~ aElement0(xa)
    | ~ spl22_5
    | ~ spl22_13
    | spl22_19 ),
    inference(subsumption_resolution,[],[f983,f903]) ).

fof(f915,plain,
    ( ~ spl22_21
    | spl22_22
    | ~ spl22_2
    | ~ spl22_10 ),
    inference(avatar_split_clause,[],[f778,f437,f187,f913,f909]) ).

fof(f913,plain,
    ( spl22_22
  <=> ! [X0] :
        ( aElement0(sK12(xR,X0,xw))
        | ~ aElement0(X0)
        | ~ sdtmndtasgtdt0(xw,xR,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).

fof(f778,plain,
    ( ! [X0] :
        ( aElement0(sK12(xR,X0,xw))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ sP0(xR) )
    | ~ spl22_2
    | ~ spl22_10 ),
    inference(forward_demodulation,[],[f777,f439]) ).

fof(f777,plain,
    ( ! [X0] :
        ( aElement0(sK12(xR,X0,xd))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ sP0(xR) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f776,f110]) ).

fof(f776,plain,
    ( ! [X0] :
        ( aElement0(sK12(xR,X0,xd))
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0)
        | ~ aElement0(xw)
        | ~ sP0(xR) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f757,f188]) ).

fof(f757,plain,
    ! [X0] :
      ( aElement0(sK12(xR,X0,xd))
      | ~ sdtmndtasgtdt0(xw,xR,X0)
      | ~ aElement0(xd)
      | ~ aElement0(X0)
      | ~ aElement0(xw)
      | ~ sP0(xR) ),
    inference(resolution,[],[f123,f208]) ).

fof(f907,plain,
    ( ~ spl22_19
    | spl22_20
    | ~ spl22_2
    | ~ spl22_10 ),
    inference(avatar_split_clause,[],[f691,f437,f187,f905,f901]) ).

fof(f691,plain,
    ( ! [X0] :
        ( aElement0(sK8(X0,xw))
        | ~ iLess0(xw,xa)
        | ~ sdtmndtasgtdt0(xw,xR,X0)
        | ~ aElement0(X0) )
    | ~ spl22_2
    | ~ spl22_10 ),
    inference(forward_demodulation,[],[f690,f439]) ).

fof(f642,plain,
    ( spl22_17
    | spl22_18 ),
    inference(avatar_split_clause,[],[f423,f639,f635]) ).

fof(f623,plain,
    ( spl22_15
    | spl22_16 ),
    inference(avatar_split_clause,[],[f420,f620,f616]) ).

fof(f620,plain,
    ( spl22_16
  <=> xb = xu ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).

fof(f568,plain,
    ( spl22_13
    | spl22_14 ),
    inference(avatar_split_clause,[],[f417,f565,f561]) ).

fof(f549,plain,
    ( spl22_11
    | spl22_12 ),
    inference(avatar_split_clause,[],[f414,f546,f542]) ).

fof(f546,plain,
    ( spl22_12
  <=> xc = xv ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).

fof(f440,plain,
    ( spl22_9
    | spl22_10
    | ~ spl22_2 ),
    inference(avatar_split_clause,[],[f426,f187,f437,f433]) ).

fof(f426,plain,
    ( xw = xd
    | sdtmndtplgtdt0(xw,xR,xd)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f425,f110]) ).

fof(f425,plain,
    ( xw = xd
    | sdtmndtplgtdt0(xw,xR,xd)
    | ~ aElement0(xw)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f424,f100]) ).

fof(f424,plain,
    ( xw = xd
    | sdtmndtplgtdt0(xw,xR,xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f403,f188]) ).

fof(f403,plain,
    ( xw = xd
    | sdtmndtplgtdt0(xw,xR,xd)
    | ~ aElement0(xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f167,f208]) ).

fof(f334,plain,
    spl22_8,
    inference(avatar_contradiction_clause,[],[f333]) ).

fof(f333,plain,
    ( $false
    | spl22_8 ),
    inference(subsumption_resolution,[],[f332,f114]) ).

fof(f332,plain,
    ( ~ aElement0(xb)
    | spl22_8 ),
    inference(subsumption_resolution,[],[f331,f100]) ).

fof(f331,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | spl22_8 ),
    inference(subsumption_resolution,[],[f330,f103]) ).

fof(f330,plain,
    ( ~ isTerminating0(xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | spl22_8 ),
    inference(resolution,[],[f328,f203]) ).

fof(f328,plain,
    ( ~ aElement0(sK19(xR,xb))
    | spl22_8 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f326,plain,
    ( spl22_8
  <=> aElement0(sK19(xR,xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).

fof(f329,plain,
    ( ~ spl22_7
    | ~ spl22_8
    | ~ spl22_2 ),
    inference(avatar_split_clause,[],[f309,f187,f326,f322]) ).

fof(f322,plain,
    ( spl22_7
  <=> sdtmndtplgtdt0(xd,xR,sK19(xR,xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).

fof(f309,plain,
    ( ~ aElement0(sK19(xR,xb))
    | ~ sdtmndtplgtdt0(xd,xR,sK19(xR,xb))
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f308,f103]) ).

fof(f308,plain,
    ( ~ aElement0(sK19(xR,xb))
    | ~ sdtmndtplgtdt0(xd,xR,sK19(xR,xb))
    | ~ isTerminating0(xR)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f307,f114]) ).

fof(f307,plain,
    ( ~ aElement0(sK19(xR,xb))
    | ~ sdtmndtplgtdt0(xd,xR,sK19(xR,xb))
    | ~ aElement0(xb)
    | ~ isTerminating0(xR)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f301,f100]) ).

fof(f301,plain,
    ( ~ aElement0(sK19(xR,xb))
    | ~ sdtmndtplgtdt0(xd,xR,sK19(xR,xb))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ isTerminating0(xR)
    | ~ spl22_2 ),
    inference(resolution,[],[f287,f206]) ).

fof(f287,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ aElement0(X0)
        | ~ sdtmndtplgtdt0(xd,xR,X0) )
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f286,f188]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(xd,xR,X0)
      | ~ aElement0(X0)
      | ~ aElement0(xd)
      | ~ sdtmndtasgtdt0(xb,xR,X0) ),
    inference(subsumption_resolution,[],[f285,f100]) ).

fof(f285,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(xd,xR,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(xd)
      | ~ sdtmndtasgtdt0(xb,xR,X0) ),
    inference(duplicate_literal_removal,[],[f274]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(xd,xR,X0)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(xd)
      | ~ sdtmndtasgtdt0(xb,xR,X0)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f169,f99]) ).

fof(f253,plain,
    spl22_5,
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | spl22_5 ),
    inference(subsumption_resolution,[],[f251,f100]) ).

fof(f251,plain,
    ( ~ aRewritingSystem0(xR)
    | spl22_5 ),
    inference(subsumption_resolution,[],[f250,f103]) ).

fof(f250,plain,
    ( ~ isTerminating0(xR)
    | ~ aRewritingSystem0(xR)
    | spl22_5 ),
    inference(resolution,[],[f244,f175]) ).

fof(f244,plain,
    ( ~ sP4(xR)
    | spl22_5 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f249,plain,
    ( ~ spl22_5
    | spl22_6 ),
    inference(avatar_split_clause,[],[f233,f246,f242]) ).

fof(f240,plain,
    ( ~ spl22_2
    | spl22_3 ),
    inference(avatar_contradiction_clause,[],[f239]) ).

fof(f239,plain,
    ( $false
    | ~ spl22_2
    | spl22_3 ),
    inference(subsumption_resolution,[],[f238,f188]) ).

fof(f238,plain,
    ( ~ aElement0(xd)
    | spl22_3 ),
    inference(subsumption_resolution,[],[f237,f100]) ).

fof(f237,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xd)
    | spl22_3 ),
    inference(subsumption_resolution,[],[f236,f103]) ).

fof(f236,plain,
    ( ~ isTerminating0(xR)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xd)
    | spl22_3 ),
    inference(resolution,[],[f223,f203]) ).

fof(f223,plain,
    ( ~ aElement0(sK19(xR,xd))
    | spl22_3 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f228,plain,
    ( ~ spl22_3
    | ~ spl22_4
    | ~ spl22_2 ),
    inference(avatar_split_clause,[],[f219,f187,f225,f221]) ).

fof(f225,plain,
    ( spl22_4
  <=> sdtmndtasgtdt0(xb,xR,sK19(xR,xd)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).

fof(f219,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,sK19(xR,xd))
    | ~ aElement0(sK19(xR,xd))
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f218,f103]) ).

fof(f218,plain,
    ( ~ isTerminating0(xR)
    | ~ sdtmndtasgtdt0(xb,xR,sK19(xR,xd))
    | ~ aElement0(sK19(xR,xd))
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f217,f188]) ).

fof(f217,plain,
    ( ~ aElement0(xd)
    | ~ isTerminating0(xR)
    | ~ sdtmndtasgtdt0(xb,xR,sK19(xR,xd))
    | ~ aElement0(sK19(xR,xd)) ),
    inference(subsumption_resolution,[],[f216,f100]) ).

fof(f216,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xd)
    | ~ isTerminating0(xR)
    | ~ sdtmndtasgtdt0(xb,xR,sK19(xR,xd))
    | ~ aElement0(sK19(xR,xd)) ),
    inference(resolution,[],[f206,f99]) ).

fof(f199,plain,
    spl22_2,
    inference(avatar_contradiction_clause,[],[f198]) ).

fof(f198,plain,
    ( $false
    | spl22_2 ),
    inference(subsumption_resolution,[],[f197,f110]) ).

fof(f197,plain,
    ( ~ aElement0(xw)
    | spl22_2 ),
    inference(subsumption_resolution,[],[f196,f100]) ).

fof(f196,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xw)
    | spl22_2 ),
    inference(subsumption_resolution,[],[f195,f189]) ).

fof(f189,plain,
    ( ~ aElement0(xd)
    | spl22_2 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f190,plain,
    ( ~ spl22_1
    | ~ spl22_2 ),
    inference(avatar_split_clause,[],[f181,f187,f183]) ).

fof(f183,plain,
    ( spl22_1
  <=> sdtmndtasgtdt0(xb,xR,xd) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COM020+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 21:28:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (20042)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (20045)WARNING: value z3 for option sas not known
% 0.14/0.38  % (20043)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (20046)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (20045)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (20047)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (20048)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (20044)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (20049)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [4]
% 0.21/0.41  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.43  TRYING [6]
% 0.21/0.44  TRYING [6]
% 0.21/0.47  TRYING [7]
% 0.21/0.48  TRYING [1]
% 0.21/0.48  TRYING [7]
% 0.21/0.48  TRYING [2]
% 0.21/0.48  TRYING [3]
% 0.21/0.48  TRYING [4]
% 0.21/0.49  TRYING [5]
% 0.21/0.51  TRYING [6]
% 0.21/0.51  TRYING [8]
% 0.21/0.52  TRYING [8]
% 0.21/0.53  TRYING [7]
% 0.21/0.57  TRYING [8]
% 0.21/0.58  TRYING [9]
% 1.66/0.59  % (20045)First to succeed.
% 1.66/0.59  TRYING [9]
% 1.82/0.61  % (20045)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20042"
% 1.82/0.61  % (20045)Refutation found. Thanks to Tanya!
% 1.82/0.61  % SZS status Theorem for theBenchmark
% 1.82/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.62  % (20045)------------------------------
% 1.82/0.62  % (20045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.82/0.62  % (20045)Termination reason: Refutation
% 1.82/0.62  
% 1.82/0.62  % (20045)Memory used [KB]: 3941
% 1.82/0.62  % (20045)Time elapsed: 0.233 s
% 1.82/0.62  % (20045)Instructions burned: 545 (million)
% 1.82/0.62  % (20042)Success in time 0.249 s
%------------------------------------------------------------------------------