%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SCT153+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:18:00 EDT 2022

% Result   : Theorem 67.57s 8.94s
% Output   : Refutation 67.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :  475
% Syntax   : Number of formulae    : 2084 ( 147 unt;   0 def)
%            Number of atoms       : 7234 (1247 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives : 7987 (2837   ~;4540   |;  90   &)
%                                         ( 436 <=>;  77  =>;   0  <=;   7 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :  416 ( 414 usr; 398 prp; 0-3 aty)
%            Number of functors    :   48 (  48 usr;  21 con; 0-6 aty)
%            Number of variables   : 1556 (1516   !;  40   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9946,plain,
    $false,
    inference(avatar_smt_refutation,[],[f3051,f3056,f3061,f3066,f3071,f3076,f3081,f3086,f3091,f3103,f3108,f3113,f3118,f3123,f3128,f3133,f3138,f3144,f3151,f3156,f3161,f3167,f3172,f3177,f3182,f3187,f3188,f3194,f3199,f3204,f3209,f3220,f3225,f3254,f3259,f3260,f3270,f3286,f3291,f3298,f3307,f3314,f3344,f3359,f3365,f3392,f3398,f3405,f3412,f3420,f3428,f3442,f3447,f3452,f3457,f3466,f3476,f3481,f3486,f3491,f3493,f3505,f3516,f3520,f3537,f3549,f3550,f3551,f3552,f3553,f3571,f3584,f3585,f3586,f3587,f3588,f3589,f3608,f3622,f3623,f3624,f3625,f3645,f3660,f3736,f3741,f3746,f3751,f3756,f3774,f3775,f3776,f3777,f3778,f3779,f3780,f3781,f3922,f3927,f3929,f3934,f3935,f3964,f4066,f4067,f4080,f4081,f4091,f4092,f4093,f4094,f4095,f4096,f4097,f4098,f4099,f4100,f4101,f4102,f4103,f4104,f4105,f4106,f4135,f4140,f4145,f4150,f4155,f4160,f4165,f4170,f4175,f4180,f4185,f4186,f4187,f4188,f4217,f4221,f4225,f4229,f4233,f4238,f4242,f4247,f4251,f4255,f4259,f4263,f4264,f4291,f4300,f4301,f4310,f4311,f4312,f4313,f4371,f4376,f4541,f4546,f4551,f4688,f4693,f4694,f4695,f4696,f4697,f4698,f4699,f4700,f4701,f4702,f4703,f4704,f4705,f4706,f4707,f4708,f4709,f4710,f4711,f4712,f4713,f4714,f4715,f4716,f4717,f4718,f4737,f4819,f4820,f4939,f4943,f4947,f4951,f4955,f4959,f4963,f4968,f4973,f4978,f4982,f4986,f4990,f4991,f4992,f5025,f5030,f5036,f5037,f5038,f5039,f5040,f5041,f5042,f5043,f5044,f5045,f5046,f5047,f5048,f5125,f5131,f5136,f5138,f5139,f5140,f5232,f5237,f5242,f5243,f5244,f5245,f5518,f5523,f5528,f5529,f5530,f5531,f6269,f6274,f6279,f6280,f6343,f6351,f6353,f6358,f6359,f6360,f6361,f6362,f6363,f6364,f6365,f6366,f6367,f6368,f6369,f6445,f6458,f6472,f6473,f6474,f6486,f6491,f6496,f6497,f6498,f6499,f6500,f6501,f6502,f6503,f6504,f6505,f6506,f6610,f6615,f6620,f6625,f6630,f6631,f6632,f6633,f6634,f6635,f6636,f6637,f6638,f6639,f6640,f6676,f6677,f6678,f6679,f6680,f6681,f6682,f6683,f6684,f6685,f6686,f6687,f6688,f6717,f6721,f6722,f6723,f6724,f6775,f6785,f6786,f6787,f6788,f6789,f6790,f6791,f6792,f6793,f6794,f6795,f6796,f6797,f6798,f6799,f6800,f6801,f6802,f6803,f6804,f6805,f6806,f6807,f6808,f6809,f6810,f6811,f6881,f6909,f6944,f6949,f6954,f6959,f6964,f6965,f6966,f6967,f6968,f6969,f6970,f7052,f7056,f7061,f7075,f7084,f7086,f7087,f7088,f7089,f7090,f7091,f7092,f7093,f7114,f7161,f7164,f7165,f7166,f7167,f7168,f7169,f7170,f7171,f7172,f7173,f7174,f7175,f7176,f7177,f7178,f7179,f7180,f7227,f7232,f7237,f7242,f7247,f7248,f7249,f7329,f7335,f7348,f7357,f7361,f7363,f7364,f7416,f7417,f7422,f7451,f7452,f7453,f7454,f7455,f7456,f7457,f7458,f7459,f7460,f7461,f7462,f7463,f7464,f7465,f7466,f7467,f7468,f7469,f7496,f7497,f7498,f7499,f7500,f7581,f7585,f7590,f7594,f7598,f7603,f7608,f7612,f7616,f7620,f7624,f7628,f7633,f7637,f7729,f7738,f7742,f7746,f7750,f7754,f7758,f7762,f7766,f7770,f7774,f7778,f7782,f7786,f7790,f7791,f7792,f7793,f7794,f7795,f7796,f7797,f7798,f7799,f7800,f7801,f7802,f7803,f7887,f7900,f7901,f7902,f7903,f7904,f7905,f7906,f7907,f7908,f7909,f7910,f7911,f7912,f7913,f7914,f7915,f7916,f7917,f7918,f7919,f7920,f7921,f7922,f7929,f7934,f7935,f7936,f8082,f8089,f8094,f8099,f8104,f8109,f8114,f8119,f8124,f8125,f8207,f8208,f8213,f8219,f8224,f8227,f8244,f8249,f8254,f8259,f8264,f8322,f8326,f8331,f8337,f8342,f8346,f8352,f8358,f8362,f8366,f8372,f8376,f8382,f8383,f8384,f8385,f8386,f8468,f8473,f8478,f8483,f8488,f8504,f8513,f8522,f8523,f8524,f8525,f8537,f8541,f8543,f8544,f8545,f8546,f8547,f8548,f8549,f8550,f8551,f8552,f8553,f8554,f8555,f8556,f8557,f8558,f8559,f8560,f8561,f8562,f8563,f8564,f8565,f8566,f8567,f8568,f8602,f8603,f8608,f8609,f8610,f8612,f8613,f8617,f8618,f8619,f8621,f8622,f8629,f8631,f8632,f8633,f8634,f8635,f8637,f8638,f8639,f8641,f8642,f8643,f8644,f8650,f8832,f8836,f8840,f8845,f8849,f8853,f8858,f8862,f8866,f8870,f8874,f8879,f8883,f8888,f8994,f9021,f9025,f9029,f9033,f9037,f9157,f9160,f9165,f9171,f9176,f9177,f9182,f9184,f9205,f9210,f9216,f9217,f9222,f9223,f9224,f9225,f9226,f9227,f9228,f9229,f9230,f9231,f9232,f9233,f9234,f9235,f9236,f9237,f9238,f9239,f9240,f9244,f9248,f9253,f9257,f9261,f9419,f9423,f9448,f9452,f9483,f9496,f9497,f9498,f9499,f9512,f9526,f9527,f9528,f9548,f9553,f9557,f9562,f9566,f9570,f9574,f9578,f9582,f9586,f9590,f9595,f9599,f9603,f9625,f9630,f9637,f9642,f9647,f9652,f9657,f9662,f9667,f9683,f9692,f9693,f9705,f9709,f9721,f9726,f9749,f9753,f9758,f9762,f9766,f9770,f9775,f9779,f9783,f9788,f9792,f9797,f9801,f9805,f9806,f9818,f9822,f9839,f9844,f9845,f9846,f9847,f9848,f9849,f9850,f9851,f9852,f9853,f9854,f9855,f9856,f9857,f9858,f9859,f9860,f9863,f9864,f9865,f9866,f9867,f9868,f9875,f9881,f9899,f9907,f9945]) ).

fof(f9945,plain,
    ( spl79_10
    | ~ spl79_87
    | ~ spl79_37
    | ~ spl79_49
    | ~ spl79_86 ),
    inference(avatar_split_clause,[],[f9944,f4084,f3418,f3283,f4088,f3096]) ).

fof(f3096,plain,
    ( spl79_10
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_10])]) ).

fof(f4088,plain,
    ( spl79_87
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_87])]) ).

fof(f3283,plain,
    ( spl79_37
  <=> c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_37])]) ).

fof(f3418,plain,
    ( spl79_49
  <=> ! [X0] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,X0,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_a____,X0,v_P____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_49])]) ).

fof(f4084,plain,
    ( spl79_86
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_86])]) ).

fof(f9944,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_49
    | ~ spl79_86 ),
    inference(forward_demodulation,[],[f9942,f2968]) ).

fof(f2968,plain,
    ! [X2,X3,X0,X1,X6,X4] : hAPP(X4,hAPP(X2,X3)) = hAPP(c_Fun_Ocomp(X1,X6,X0,X4,X2),X3),
    inference(equality_resolution,[],[f2505]) ).

fof(f2505,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( hAPP(X4,hAPP(X2,X3)) = hAPP(X5,X3)
      | c_Fun_Ocomp(X1,X6,X0,X4,X2) != X5 ),
    inference(cnf_transformation,[],[f1832]) ).

fof(f1832,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( hAPP(X4,hAPP(X2,X3)) = hAPP(X5,X3)
      | c_Fun_Ocomp(X1,X6,X0,X4,X2) != X5 ),
    inference(rectify,[],[f1075]) ).

fof(f1075,plain,
    ! [X4,X6,X1,X5,X2,X3,X0] :
      ( hAPP(X3,X5) = hAPP(X2,hAPP(X1,X5))
      | c_Fun_Ocomp(X6,X0,X4,X2,X1) != X3 ),
    inference(ennf_transformation,[],[f757]) ).

fof(f757,plain,
    ! [X1,X5,X3,X2,X0,X6,X4] :
      ( c_Fun_Ocomp(X6,X0,X4,X2,X1) = X3
     => hAPP(X3,X5) = hAPP(X2,hAPP(X1,X5)) ),
    inference(rectify,[],[f107]) ).

fof(f107,axiom,
    ! [X7,X5,X6,X9,X8,X43,X21] :
      ( c_Fun_Ocomp(X21,X7,X8,X6,X5) = X9
     => hAPP(X6,hAPP(X5,X43)) = hAPP(X9,X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_o__eq__dest__lhs) ).

fof(f9942,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_49
    | ~ spl79_86 ),
    inference(resolution,[],[f3419,f4086]) ).

fof(f4086,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | ~ spl79_86 ),
    inference(avatar_component_clause,[],[f4084]) ).

fof(f3419,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,X0,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_a____,X0,v_P____,v_b____))) )
    | ~ spl79_49 ),
    inference(avatar_component_clause,[],[f3418]) ).

fof(f9907,plain,
    ( spl79_397
    | ~ spl79_377
    | ~ spl79_389 ),
    inference(avatar_split_clause,[],[f9902,f9794,f9743,f9904]) ).

fof(f9904,plain,
    ( spl79_397
  <=> hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_397])]) ).

fof(f9743,plain,
    ( spl79_377
  <=> v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_377])]) ).

fof(f9794,plain,
    ( spl79_389
  <=> hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_389])]) ).

fof(f9902,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____)))
    | ~ spl79_377
    | ~ spl79_389 ),
    inference(forward_demodulation,[],[f9796,f9745]) ).

fof(f9745,plain,
    ( v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
    | ~ spl79_377 ),
    inference(avatar_component_clause,[],[f9743]) ).

fof(f9796,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
    | ~ spl79_389 ),
    inference(avatar_component_clause,[],[f9794]) ).

fof(f9899,plain,
    ( spl79_396
    | ~ spl79_377
    | ~ spl79_387 ),
    inference(avatar_split_clause,[],[f9894,f9785,f9743,f9896]) ).

fof(f9896,plain,
    ( spl79_396
  <=> hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_396])]) ).

fof(f9785,plain,
    ( spl79_387
  <=> hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_387])]) ).

fof(f9894,plain,
    ( hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_377
    | ~ spl79_387 ),
    inference(forward_demodulation,[],[f9787,f9745]) ).

fof(f9787,plain,
    ( hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_387 ),
    inference(avatar_component_clause,[],[f9785]) ).

fof(f9881,plain,
    ( spl79_395
    | ~ spl79_377
    | ~ spl79_384 ),
    inference(avatar_split_clause,[],[f9876,f9772,f9743,f9878]) ).

fof(f9878,plain,
    ( spl79_395
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_395])]) ).

fof(f9772,plain,
    ( spl79_384
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_384])]) ).

fof(f9876,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_377
    | ~ spl79_384 ),
    inference(forward_demodulation,[],[f9774,f9745]) ).

fof(f9774,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_384 ),
    inference(avatar_component_clause,[],[f9772]) ).

fof(f9875,plain,
    ( spl79_394
    | ~ spl79_377
    | ~ spl79_380 ),
    inference(avatar_split_clause,[],[f9870,f9755,f9743,f9872]) ).

fof(f9872,plain,
    ( spl79_394
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_394])]) ).

fof(f9755,plain,
    ( spl79_380
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_380])]) ).

fof(f9870,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_377
    | ~ spl79_380 ),
    inference(forward_demodulation,[],[f9757,f9745]) ).

fof(f9757,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_380 ),
    inference(avatar_component_clause,[],[f9755]) ).

fof(f9868,plain,
    ( spl79_5
    | spl79_316
    | ~ spl79_248 ),
    inference(avatar_split_clause,[],[f9003,f7926,f9031,f3068]) ).

fof(f3068,plain,
    ( spl79_5
  <=> v_a____ = v_b____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_5])]) ).

fof(f9031,plain,
    ( spl79_316
  <=> ! [X12] : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Relation_Orel__comp(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X12))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_316])]) ).

fof(f7926,plain,
    ( spl79_248
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_248])]) ).

fof(f9003,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Relation_Orel__comp(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X12)))
        | v_a____ = v_b____ )
    | ~ spl79_248 ),
    inference(resolution,[],[f8961,f2875]) ).

fof(f2875,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X0))
      | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_Orel__comp(X1,X1,X1,X0,c_Transitive__Closure_Ortrancl(X1,X0)))
      | X2 = X3 ),
    inference(definition_unfolding,[],[f2496,f2431]) ).

fof(f2431,plain,
    ! [X0,X1] : c_Relation_Orel__comp(X1,X1,X1,X0,c_Transitive__Closure_Ortrancl(X1,X0)) = c_Transitive__Closure_Otrancl(X1,X0),
    inference(cnf_transformation,[],[f1772]) ).

fof(f1772,plain,
    ! [X0,X1] : c_Relation_Orel__comp(X1,X1,X1,X0,c_Transitive__Closure_Ortrancl(X1,X0)) = c_Transitive__Closure_Otrancl(X1,X0),
    inference(rectify,[],[f816]) ).

fof(f816,plain,
    ! [X1,X0] : c_Relation_Orel__comp(X0,X0,X0,X1,c_Transitive__Closure_Ortrancl(X0,X1)) = c_Transitive__Closure_Otrancl(X0,X1),
    inference(rectify,[],[f414]) ).

fof(f414,axiom,
    ! [X8,X4] : c_Transitive__Closure_Otrancl(X8,X4) = c_Relation_Orel__comp(X8,X8,X8,X4,c_Transitive__Closure_Ortrancl(X8,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_trancl__unfold__left) ).

fof(f2496,plain,
    ! [X2,X3,X0,X1] :
      ( X2 = X3
      | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X0))
      | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X0)) ),
    inference(cnf_transformation,[],[f1825]) ).

fof(f1825,plain,
    ! [X0,X1,X2,X3] :
      ( ( X2 = X3
        | ( X2 != X3
          & c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X0)) )
        | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X0)) )
      & ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X0))
        | ( X2 != X3
          & ( X2 = X3
            | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X0)) ) ) ) ),
    inference(rectify,[],[f1824]) ).

fof(f1824,plain,
    ! [X3,X0,X2,X1] :
      ( ( X1 = X2
        | ( X1 != X2
          & c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Otrancl(X0,X3)) )
        | ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Ortrancl(X0,X3)) )
      & ( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Ortrancl(X0,X3))
        | ( X1 != X2
          & ( X1 = X2
            | ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Otrancl(X0,X3)) ) ) ) ),
    inference(flattening,[],[f1823]) ).

fof(f1823,plain,
    ! [X3,X0,X2,X1] :
      ( ( X1 = X2
        | ( X1 != X2
          & c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Otrancl(X0,X3)) )
        | ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Ortrancl(X0,X3)) )
      & ( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Ortrancl(X0,X3))
        | ( X1 != X2
          & ( X1 = X2
            | ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Otrancl(X0,X3)) ) ) ) ),
    inference(nnf_transformation,[],[f886]) ).

fof(f886,plain,
    ! [X3,X0,X2,X1] :
      ( ( X1 = X2
        | ( X1 != X2
          & c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Otrancl(X0,X3)) ) )
    <=> c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X1),c_Transitive__Closure_Ortrancl(X0,X3)) ),
    inference(rectify,[],[f125]) ).

fof(f125,axiom,
    ! [X8,X14,X15,X16] :
      ( c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X15,X14),c_Transitive__Closure_Ortrancl(X8,X16))
    <=> ( X14 = X15
        | ( X14 != X15
          & c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X15,X14),c_Transitive__Closure_Otrancl(X8,X16)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rtrancl__eq__or__trancl) ).

fof(f8961,plain,
    ( ! [X55] : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X55))
    | ~ spl79_248 ),
    inference(superposition,[],[f2967,f7928]) ).

fof(f7928,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_248 ),
    inference(avatar_component_clause,[],[f7926]) ).

fof(f2967,plain,
    ! [X3,X0,X1] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),c_Transitive__Closure_Ortrancl(X1,X0)),
    inference(equality_resolution,[],[f2495]) ).

fof(f2495,plain,
    ! [X2,X3,X0,X1] :
      ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X0))
      | X2 != X3 ),
    inference(cnf_transformation,[],[f1825]) ).

fof(f9867,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f5153,f3169,f3743]) ).

fof(f3743,plain,
    ( spl79_72
  <=> hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_72])]) ).

fof(f3169,plain,
    ( spl79_24
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_24])]) ).

fof(f5153,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_24 ),
    inference(resolution,[],[f3170,f2567]) ).

fof(f2567,plain,
    ! [X2,X0,X1] :
      ( ~ c_member(X0,X1,X2)
      | hBOOL(hAPP(X2,X1)) ),
    inference(cnf_transformation,[],[f1885]) ).

fof(f1885,plain,
    ! [X0,X1,X2] :
      ( ( hBOOL(hAPP(X2,X1))
        | ~ c_member(X0,X1,X2) )
      & ( c_member(X0,X1,X2)
        | ~ hBOOL(hAPP(X2,X1)) ) ),
    inference(nnf_transformation,[],[f582]) ).

fof(f582,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(X2,X1))
    <=> c_member(X0,X1,X2) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X8,X15,X11] :
      ( c_member(X8,X15,X11)
    <=> hBOOL(hAPP(X11,X15)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).

fof(f3170,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_24 ),
    inference(avatar_component_clause,[],[f3169]) ).

fof(f9866,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f8193,f6607,f3743]) ).

fof(f6607,plain,
    ( spl79_168
  <=> hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_168])]) ).

fof(f8193,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_168 ),
    inference(superposition,[],[f3022,f6609]) ).

fof(f6609,plain,
    ( hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_168 ),
    inference(avatar_component_clause,[],[f6607]) ).

fof(f3022,plain,
    ! [X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X0,X3,X1),X3)),
    inference(equality_resolution,[],[f2800]) ).

fof(f2800,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(c_Set_Oinsert(X0,X3,X1),X2))
      | X2 != X3 ),
    inference(cnf_transformation,[],[f2057]) ).

fof(f2057,plain,
    ! [X0,X1,X2,X3] :
      ( ( hBOOL(hAPP(X1,X2))
        | X2 = X3
        | ~ hBOOL(hAPP(c_Set_Oinsert(X0,X3,X1),X2)) )
      & ( hBOOL(hAPP(c_Set_Oinsert(X0,X3,X1),X2))
        | ( ~ hBOOL(hAPP(X1,X2))
          & X2 != X3 ) ) ),
    inference(rectify,[],[f2056]) ).

fof(f2056,plain,
    ! [X1,X0,X2,X3] :
      ( ( hBOOL(hAPP(X0,X2))
        | X2 = X3
        | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X3,X0),X2)) )
      & ( hBOOL(hAPP(c_Set_Oinsert(X1,X3,X0),X2))
        | ( ~ hBOOL(hAPP(X0,X2))
          & X2 != X3 ) ) ),
    inference(flattening,[],[f2055]) ).

fof(f2055,plain,
    ! [X1,X0,X2,X3] :
      ( ( hBOOL(hAPP(X0,X2))
        | X2 = X3
        | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X3,X0),X2)) )
      & ( hBOOL(hAPP(c_Set_Oinsert(X1,X3,X0),X2))
        | ( ~ hBOOL(hAPP(X0,X2))
          & X2 != X3 ) ) ),
    inference(nnf_transformation,[],[f979]) ).

fof(f979,plain,
    ! [X1,X0,X2,X3] :
      ( ( hBOOL(hAPP(X0,X2))
        | X2 = X3 )
    <=> hBOOL(hAPP(c_Set_Oinsert(X1,X3,X0),X2)) ),
    inference(rectify,[],[f146]) ).

fof(f146,axiom,
    ! [X11,X8,X15,X14] :
      ( ( X14 = X15
        | hBOOL(hAPP(X11,X15)) )
    <=> hBOOL(hAPP(c_Set_Oinsert(X8,X14,X11),X15)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__code) ).

fof(f9865,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f6703,f3169,f3743]) ).

fof(f6703,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_24 ),
    inference(resolution,[],[f3170,f2567]) ).

fof(f9864,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6836,f3362,f3748]) ).

fof(f3748,plain,
    ( spl79_73
  <=> hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_73])]) ).

fof(f3362,plain,
    ( spl79_44
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_44])]) ).

fof(f6836,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2567]) ).

fof(f3364,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_44 ),
    inference(avatar_component_clause,[],[f3362]) ).

fof(f9863,plain,
    ( spl79_106
    | ~ spl79_225
    | ~ spl79_248
    | ~ spl79_272 ),
    inference(avatar_split_clause,[],[f9862,f8339,f7926,f7723,f4244]) ).

fof(f4244,plain,
    ( spl79_106
  <=> hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_106])]) ).

fof(f7723,plain,
    ( spl79_225
  <=> sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_225])]) ).

fof(f8339,plain,
    ( spl79_272
  <=> hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_272])]) ).

fof(f9862,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_225
    | ~ spl79_248
    | ~ spl79_272 ),
    inference(forward_demodulation,[],[f8596,f7928]) ).

fof(f8596,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
    | ~ spl79_225
    | ~ spl79_272 ),
    inference(backward_demodulation,[],[f8341,f7725]) ).

fof(f7725,plain,
    ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
    | ~ spl79_225 ),
    inference(avatar_component_clause,[],[f7723]) ).

fof(f8341,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
    | ~ spl79_272 ),
    inference(avatar_component_clause,[],[f8339]) ).

fof(f9860,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f9126,f6607,f3743]) ).

fof(f9126,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_168 ),
    inference(superposition,[],[f9123,f7967]) ).

fof(f7967,plain,
    ( ! [X25] : hAPP(v_F,v_P____) = c_Set_Oinsert(X25,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_168 ),
    inference(resolution,[],[f7673,f2728]) ).

fof(f2728,plain,
    ! [X2,X0,X1] :
      ( ~ c_member(X0,X1,X2)
      | c_Set_Oinsert(X0,X1,X2) = X2 ),
    inference(cnf_transformation,[],[f1995]) ).

fof(f1995,plain,
    ! [X0,X1,X2] :
      ( c_Set_Oinsert(X0,X1,X2) = X2
      | ~ c_member(X0,X1,X2) ),
    inference(rectify,[],[f1232]) ).

fof(f1232,plain,
    ! [X1,X2,X0] :
      ( c_Set_Oinsert(X1,X2,X0) = X0
      | ~ c_member(X1,X2,X0) ),
    inference(ennf_transformation,[],[f739]) ).

fof(f739,plain,
    ! [X0,X2,X1] :
      ( c_member(X1,X2,X0)
     => c_Set_Oinsert(X1,X2,X0) = X0 ),
    inference(rectify,[],[f152]) ).

fof(f152,axiom,
    ! [X11,X8,X6] :
      ( c_member(X8,X6,X11)
     => c_Set_Oinsert(X8,X6,X11) = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__absorb) ).

fof(f7673,plain,
    ( ! [X1] : c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_168 ),
    inference(superposition,[],[f3700,f6609]) ).

fof(f3700,plain,
    ! [X2,X3,X4,X5] : c_member(X2,X3,c_Set_Oinsert(X4,X3,X5)),
    inference(resolution,[],[f2566,f3022]) ).

fof(f2566,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X2,X1))
      | c_member(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1885]) ).

fof(f9123,plain,
    ( ! [X10,X11] : hBOOL(hAPP(c_Set_Oinsert(X10,X11,hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_168 ),
    inference(resolution,[],[f9113,f2567]) ).

fof(f9113,plain,
    ( ! [X3,X4] : c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),c_Set_Oinsert(X3,X4,hAPP(v_F,v_P____)))
    | ~ spl79_168 ),
    inference(resolution,[],[f8274,f2564]) ).

fof(f2564,plain,
    ! [X2,X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Set_Oinsert(X2,X0,X1)),
    inference(cnf_transformation,[],[f1883]) ).

fof(f1883,plain,
    ! [X0,X1,X2] : c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Set_Oinsert(X2,X0,X1)),
    inference(rectify,[],[f984]) ).

fof(f984,plain,
    ! [X2,X1,X0] : c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,X1)),
    inference(rectify,[],[f277]) ).

fof(f277,axiom,
    ! [X8,X10,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X8,tc_HOL_Obool),X10,c_Set_Oinsert(X8,X6,X10)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subset__insertI) ).

fof(f8274,plain,
    ( ! [X6,X7] :
        ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),hAPP(v_F,v_P____),X7)
        | c_member(X6,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),X7) )
    | ~ spl79_168 ),
    inference(superposition,[],[f2750,f7967]) ).

fof(f2750,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X3,X1),X2)
      | c_member(X0,X3,X2) ),
    inference(cnf_transformation,[],[f2012]) ).

fof(f2012,plain,
    ! [X0,X1,X2,X3] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X3,X1),X2)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
        | ~ c_member(X0,X3,X2) )
      & ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)
          & c_member(X0,X3,X2) )
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X3,X1),X2) ) ),
    inference(rectify,[],[f2011]) ).

fof(f2011,plain,
    ! [X1,X2,X3,X0] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X0,X2),X3)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
        | ~ c_member(X1,X0,X3) )
      & ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
          & c_member(X1,X0,X3) )
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X0,X2),X3) ) ),
    inference(flattening,[],[f2010]) ).

fof(f2010,plain,
    ! [X1,X2,X3,X0] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X0,X2),X3)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
        | ~ c_member(X1,X0,X3) )
      & ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
          & c_member(X1,X0,X3) )
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X0,X2),X3) ) ),
    inference(nnf_transformation,[],[f894]) ).

fof(f894,plain,
    ! [X1,X2,X3,X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X0,X2),X3)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
        & c_member(X1,X0,X3) ) ),
    inference(rectify,[],[f292]) ).

fof(f292,axiom,
    ! [X15,X8,X11,X10] :
      ( ( c_member(X8,X15,X10)
        & c_Orderings_Oord__class_Oless__eq(tc_fun(X8,tc_HOL_Obool),X11,X10) )
    <=> c_Orderings_Oord__class_Oless__eq(tc_fun(X8,tc_HOL_Obool),c_Set_Oinsert(X8,X15,X11),X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__subset) ).

fof(f9859,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3729,f3169,f3743]) ).

fof(f3729,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_24 ),
    inference(resolution,[],[f2567,f3170]) ).

fof(f9858,plain,
    ( spl79_296
    | ~ spl79_225
    | ~ spl79_248
    | ~ spl79_270 ),
    inference(avatar_split_clause,[],[f8624,f8328,f7926,f7723,f8626]) ).

fof(f8626,plain,
    ( spl79_296
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_296])]) ).

fof(f8328,plain,
    ( spl79_270
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_270])]) ).

fof(f8624,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_225
    | ~ spl79_248
    | ~ spl79_270 ),
    inference(forward_demodulation,[],[f8623,f7928]) ).

fof(f8623,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_225
    | ~ spl79_270 ),
    inference(forward_demodulation,[],[f8330,f7725]) ).

fof(f8330,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_270 ),
    inference(avatar_component_clause,[],[f8328]) ).

fof(f9857,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f8039,f6607,f3743]) ).

fof(f8039,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_168 ),
    inference(superposition,[],[f3022,f7967]) ).

fof(f9856,plain,
    ( spl79_389
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9741,f8079,f9794]) ).

fof(f8079,plain,
    ( spl79_250
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_250])]) ).

fof(f9741,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2567]) ).

fof(f8081,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_250 ),
    inference(avatar_component_clause,[],[f8079]) ).

fof(f9855,plain,
    ( spl79_140
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5019,f4235,f5033]) ).

fof(f5033,plain,
    ( spl79_140
  <=> hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_140])]) ).

fof(f4235,plain,
    ( spl79_104
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_104])]) ).

fof(f5019,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_104 ),
    inference(resolution,[],[f4237,f2567]) ).

fof(f4237,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_104 ),
    inference(avatar_component_clause,[],[f4235]) ).

fof(f9854,plain,
    ( spl79_272
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f9057,f3488,f8339]) ).

fof(f3488,plain,
    ( spl79_58
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_58])]) ).

fof(f9057,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2567]) ).

fof(f3490,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_58 ),
    inference(avatar_component_clause,[],[f3488]) ).

fof(f9853,plain,
    ( spl79_85
    | ~ spl79_58
    | ~ spl79_225
    | ~ spl79_248 ),
    inference(avatar_split_clause,[],[f8630,f7926,f7723,f3488,f4077]) ).

fof(f4077,plain,
    ( spl79_85
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_85])]) ).

fof(f8630,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_58
    | ~ spl79_225
    | ~ spl79_248 ),
    inference(forward_demodulation,[],[f7924,f7928]) ).

fof(f7924,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_58
    | ~ spl79_225 ),
    inference(backward_demodulation,[],[f3490,f7725]) ).

fof(f9852,plain,
    ( spl79_272
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8318,f3488,f8339]) ).

fof(f8318,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2567]) ).

fof(f9851,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3802,f3362,f3748]) ).

fof(f3802,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2567]) ).

fof(f9850,plain,
    ( spl79_85
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f6239,f4235,f4077]) ).

fof(f6239,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_104 ),
    inference(forward_demodulation,[],[f6232,f2510]) ).

fof(f2510,plain,
    ! [X2,X0,X1] : hAPP(c_Relation_Oconverse(X0,X2),hAPP(c_Relation_Oconverse(X2,X0),X1)) = X1,
    inference(cnf_transformation,[],[f1836]) ).

fof(f1836,plain,
    ! [X0,X1,X2] : hAPP(c_Relation_Oconverse(X0,X2),hAPP(c_Relation_Oconverse(X2,X0),X1)) = X1,
    inference(rectify,[],[f812]) ).

fof(f812,plain,
    ! [X0,X2,X1] : hAPP(c_Relation_Oconverse(X0,X1),hAPP(c_Relation_Oconverse(X1,X0),X2)) = X2,
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X7,X8,X4] : hAPP(c_Relation_Oconverse(X7,X8),hAPP(c_Relation_Oconverse(X8,X7),X4)) = X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_converse__converse) ).

fof(f6232,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_104 ),
    inference(resolution,[],[f4237,f2441]) ).

fof(f2441,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_member(tc_prod(X4,X3),c_Product__Type_OPair(X4,X3,X1,X0),X2)
      | c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X0,X1),hAPP(c_Relation_Oconverse(X4,X3),X2)) ),
    inference(cnf_transformation,[],[f1780]) ).

fof(f1780,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X0,X1),hAPP(c_Relation_Oconverse(X4,X3),X2))
      | ~ c_member(tc_prod(X4,X3),c_Product__Type_OPair(X4,X3,X1,X0),X2) ),
    inference(rectify,[],[f1101]) ).

fof(f1101,plain,
    ! [X4,X1,X2,X3,X0] :
      ( c_member(tc_prod(X3,X0),c_Product__Type_OPair(X3,X0,X4,X1),hAPP(c_Relation_Oconverse(X0,X3),X2))
      | ~ c_member(tc_prod(X0,X3),c_Product__Type_OPair(X0,X3,X1,X4),X2) ),
    inference(ennf_transformation,[],[f563]) ).

fof(f563,plain,
    ! [X4,X2,X0,X1,X3] :
      ( c_member(tc_prod(X0,X3),c_Product__Type_OPair(X0,X3,X1,X4),X2)
     => c_member(tc_prod(X3,X0),c_Product__Type_OPair(X3,X0,X4,X1),hAPP(c_Relation_Oconverse(X0,X3),X2)) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X8,X6,X4,X7,X5] :
      ( c_member(tc_prod(X8,X7),c_Product__Type_OPair(X8,X7,X6,X5),X4)
     => c_member(tc_prod(X7,X8),c_Product__Type_OPair(X7,X8,X5,X6),hAPP(c_Relation_Oconverse(X8,X7),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_converseI) ).

fof(f9849,plain,
    ( spl79_5
    | spl79_314
    | ~ spl79_248 ),
    inference(avatar_split_clause,[],[f8999,f7926,f9023,f3068]) ).

fof(f9023,plain,
    ( spl79_314
  <=> ! [X6] : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,X6),v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_314])]) ).

fof(f8999,plain,
    ( ! [X6] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,X6),v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X6))
        | v_a____ = v_b____ )
    | ~ spl79_248 ),
    inference(resolution,[],[f8961,f2426]) ).

fof(f2426,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X1),c_Transitive__Closure_Ortrancl(X2,X3))
      | X0 = X1
      | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK43(X0,X1,X2,X3),X1),c_Transitive__Closure_Ortrancl(X2,X3)) ),
    inference(cnf_transformation,[],[f1770]) ).

fof(f1770,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X1),c_Transitive__Closure_Ortrancl(X2,X3))
      | ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,sK43(X0,X1,X2,X3)),X3)
        & c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK43(X0,X1,X2,X3),X1),c_Transitive__Closure_Ortrancl(X2,X3)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f1768,f1769]) ).

fof(f1769,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X4),X3)
          & c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X1),c_Transitive__Closure_Ortrancl(X2,X3)) )
     => ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,sK43(X0,X1,X2,X3)),X3)
        & c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK43(X0,X1,X2,X3),X1),c_Transitive__Closure_Ortrancl(X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1768,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X1),c_Transitive__Closure_Ortrancl(X2,X3))
      | ? [X4] :
          ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X4),X3)
          & c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X1),c_Transitive__Closure_Ortrancl(X2,X3)) ) ),
    inference(rectify,[],[f1061]) ).

fof(f1061,plain,
    ! [X3,X0,X1,X2] :
      ( X0 = X3
      | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X0),c_Transitive__Closure_Ortrancl(X1,X2))
      | ? [X4] :
          ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X2)
          & c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X0),c_Transitive__Closure_Ortrancl(X1,X2)) ) ),
    inference(flattening,[],[f1060]) ).

fof(f1060,plain,
    ! [X2,X0,X1,X3] :
      ( ? [X4] :
          ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X2)
          & c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X0),c_Transitive__Closure_Ortrancl(X1,X2)) )
      | X0 = X3
      | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X0),c_Transitive__Closure_Ortrancl(X1,X2)) ),
    inference(ennf_transformation,[],[f860]) ).

fof(f860,plain,
    ! [X2,X0,X1,X3] :
      ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X0),c_Transitive__Closure_Ortrancl(X1,X2))
     => ( X0 != X3
       => ~ ! [X4] :
              ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X2)
             => ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X0),c_Transitive__Closure_Ortrancl(X1,X2)) ) ) ),
    inference(rectify,[],[f105]) ).

fof(f105,axiom,
    ! [X12,X8,X4,X15] :
      ( c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X15,X12),c_Transitive__Closure_Ortrancl(X8,X4))
     => ( X12 != X15
       => ~ ! [X35] :
              ( c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X15,X35),X4)
             => ~ c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X35,X12),c_Transitive__Closure_Ortrancl(X8,X4)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_converse__rtranclE) ).

fof(f9848,plain,
    ( spl79_140
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f6236,f4235,f5033]) ).

fof(f6236,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_104 ),
    inference(resolution,[],[f4237,f2567]) ).

fof(f9847,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f8766,f6607,f3743]) ).

fof(f8766,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_168 ),
    inference(superposition,[],[f3022,f7967]) ).

fof(f9846,plain,
    ( spl79_248
    | ~ spl79_57
    | ~ spl79_225 ),
    inference(avatar_split_clause,[],[f7923,f7723,f3483,f7926]) ).

fof(f3483,plain,
    ( spl79_57
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_57])]) ).

fof(f7923,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_57
    | ~ spl79_225 ),
    inference(backward_demodulation,[],[f3485,f7725]) ).

fof(f3485,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_57 ),
    inference(avatar_component_clause,[],[f3483]) ).

fof(f9845,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4269,f3362,f3748]) ).

fof(f4269,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2567]) ).

fof(f9844,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3730,f3362,f3748]) ).

fof(f3730,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_44 ),
    inference(resolution,[],[f2567,f3364]) ).

fof(f9839,plain,
    ( ~ spl79_30
    | spl79_24
    | ~ spl79_86
    | ~ spl79_87
    | ~ spl79_90 ),
    inference(avatar_split_clause,[],[f9829,f4143,f4088,f4084,f3169,f3201]) ).

fof(f3201,plain,
    ( spl79_30
  <=> c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_30])]) ).

fof(f4143,plain,
    ( spl79_90
  <=> ! [X15] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X15,v_b____))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X15,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_90])]) ).

fof(f9829,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_87
    | ~ spl79_90 ),
    inference(resolution,[],[f4090,f4144]) ).

fof(f4144,plain,
    ( ! [X15] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X15,v_b____))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X15,v_b____))) )
    | ~ spl79_90 ),
    inference(avatar_component_clause,[],[f4143]) ).

fof(f4090,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))
    | ~ spl79_87 ),
    inference(avatar_component_clause,[],[f4088]) ).

fof(f9822,plain,
    ( spl79_185
    | spl79_393
    | ~ spl79_98 ),
    inference(avatar_split_clause,[],[f9813,f4183,f9820,f7046]) ).

fof(f7046,plain,
    ( spl79_185
  <=> c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_185])]) ).

fof(f9820,plain,
    ( spl79_393
  <=> ! [X13,X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_a____,X12,X13,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | v_a____ = X12
        | v_b____ = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_a____,X12,X13,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
        | X12 = X13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_393])]) ).

fof(f4183,plain,
    ( spl79_98
  <=> ! [X4,X5,X3] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(X5,v_b____,v_a____,X3,X4,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | v_a____ = X3
        | v_b____ = X4
        | X3 = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_98])]) ).

fof(f9813,plain,
    ( ! [X12,X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_a____,X12,X13,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | X12 = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_a____,X12,X13,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_b____ = X13
        | v_a____ = X12 )
    | ~ spl79_98 ),
    inference(resolution,[],[f4184,f2213]) ).

fof(f2213,plain,
    ! [X0,X1] :
      ( c_member(X0,sK17(X0,X1),X1)
      | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1 ),
    inference(cnf_transformation,[],[f1603]) ).

fof(f1603,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1
        | c_member(X0,sK17(X0,X1),X1) )
      & ( ! [X3] : ~ c_member(X0,X3,X1)
        | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f1601,f1602]) ).

fof(f1602,plain,
    ! [X0,X1] :
      ( ? [X2] : c_member(X0,X2,X1)
     => c_member(X0,sK17(X0,X1),X1) ),
    introduced(choice_axiom,[]) ).

fof(f1601,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1
        | ? [X2] : c_member(X0,X2,X1) )
      & ( ! [X3] : ~ c_member(X0,X3,X1)
        | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != X1 ) ),
    inference(rectify,[],[f1600]) ).

fof(f1600,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1
        | ? [X2] : c_member(X0,X2,X1) )
      & ( ! [X2] : ~ c_member(X0,X2,X1)
        | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != X1 ) ),
    inference(nnf_transformation,[],[f542]) ).

fof(f542,plain,
    ! [X0,X1] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1
    <=> ! [X2] : ~ c_member(X0,X2,X1) ),
    inference(rectify,[],[f386]) ).

fof(f386,axiom,
    ! [X8,X11] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool)) = X11
    <=> ! [X2] : ~ c_member(X8,X2,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_all__not__in__conv) ).

fof(f4184,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | v_a____ = X3
        | v_b____ = X4
        | X3 = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(X5,v_b____,v_a____,X3,X4,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))) )
    | ~ spl79_98 ),
    inference(avatar_component_clause,[],[f4183]) ).

fof(f9818,plain,
    ( spl79_185
    | spl79_392
    | ~ spl79_98 ),
    inference(avatar_split_clause,[],[f9812,f4183,f9816,f7046]) ).

fof(f9816,plain,
    ( spl79_392
  <=> ! [X11,X10] :
        ( v_a____ = X10
        | v_b____ = X11
        | X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_a____,X10,X11,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_a____,X10,X11,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_392])]) ).

fof(f9812,plain,
    ( ! [X10,X11] :
        ( v_a____ = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_a____,X10,X11,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_a____,X10,X11,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
        | X10 = X11
        | v_b____ = X11
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool)) )
    | ~ spl79_98 ),
    inference(resolution,[],[f4184,f2159]) ).

fof(f2159,plain,
    ! [X0,X1] :
      ( c_member(X0,sK12(X0,X1),X1)
      | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1 ),
    inference(cnf_transformation,[],[f1560]) ).

fof(f1560,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != X1
        | ! [X2] : ~ c_member(X0,X2,X1) )
      & ( c_member(X0,sK12(X0,X1),X1)
        | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f1558,f1559]) ).

fof(f1559,plain,
    ! [X0,X1] :
      ( ? [X3] : c_member(X0,X3,X1)
     => c_member(X0,sK12(X0,X1),X1) ),
    introduced(choice_axiom,[]) ).

fof(f1558,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != X1
        | ! [X2] : ~ c_member(X0,X2,X1) )
      & ( ? [X3] : c_member(X0,X3,X1)
        | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1 ) ),
    inference(rectify,[],[f1557]) ).

fof(f1557,plain,
    ! [X1,X0] :
      ( ( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != X0
        | ! [X2] : ~ c_member(X1,X2,X0) )
      & ( ? [X2] : c_member(X1,X2,X0)
        | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = X0 ) ),
    inference(nnf_transformation,[],[f767]) ).

fof(f767,plain,
    ! [X1,X0] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != X0
    <=> ? [X2] : c_member(X1,X2,X0) ),
    inference(rectify,[],[f387]) ).

fof(f387,axiom,
    ! [X11,X8] :
      ( ? [X2] : c_member(X8,X2,X11)
    <=> c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool)) != X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ex__in__conv) ).

fof(f9806,plain,
    ( spl79_250
    | spl79_5
    | ~ spl79_256 ),
    inference(avatar_split_clause,[],[f8733,f8111,f3068,f8079]) ).

fof(f8111,plain,
    ( spl79_256
  <=> hBOOL(hAPP(c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_256])]) ).

fof(f8733,plain,
    ( v_a____ = v_b____
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_256 ),
    inference(resolution,[],[f8727,f2427]) ).

fof(f2427,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X1),c_Transitive__Closure_Ortrancl(X2,X3))
      | X0 = X1
      | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,sK43(X0,X1,X2,X3)),X3) ),
    inference(cnf_transformation,[],[f1770]) ).

fof(f8727,plain,
    ( ! [X0] : c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_256 ),
    inference(resolution,[],[f8113,f2566]) ).

fof(f8113,plain,
    ( hBOOL(hAPP(c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_256 ),
    inference(avatar_component_clause,[],[f8111]) ).

fof(f9805,plain,
    ( ~ spl79_30
    | spl79_391
    | spl79_377
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9728,f8079,f9743,f9803,f3201]) ).

fof(f9803,plain,
    ( spl79_391
  <=> ! [X4,X5,X3] :
        ( sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X3
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3,X4,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(X5,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3,X4,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | X3 = X4
        | v_b____ = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_391])]) ).

fof(f9728,plain,
    ( ! [X3,X4,X5] :
        ( v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X3
        | v_b____ = X4
        | X3 = X4
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(X5,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3,X4,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3,X4,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5)) )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2140]) ).

fof(f2140,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X5))
      | X2 = X3
      | X3 = X4
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,sK7(X0,X1,X2,X3,X4,X5)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,sK7(X0,X1,X2,X3,X4,X5)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0))
      | X1 = X4
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f1540]) ).

fof(f1540,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X1 = X4
      | ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,sK7(X0,X1,X2,X3,X4,X5)))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,sK7(X0,X1,X2,X3,X4,X5))) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,sK7(X0,X1,X2,X3,X4,X5)))
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,sK7(X0,X1,X2,X3,X4,X5))) ) )
      | ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X5)) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X5))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0)) ) )
      | X2 = X3
      | X1 = X2
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | X3 = X4
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f1538,f1539]) ).

fof(f1539,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X6] :
          ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,X6))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,X6)) )
          & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,X6))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,X6)) ) )
     => ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,sK7(X0,X1,X2,X3,X4,X5)))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,sK7(X0,X1,X2,X3,X4,X5))) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,sK7(X0,X1,X2,X3,X4,X5)))
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,sK7(X0,X1,X2,X3,X4,X5))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1538,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X1 = X4
      | ? [X6] :
          ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,X6))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,X6)) )
          & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,X6))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,X6)) ) )
      | ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X5)) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X5))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0)) ) )
      | X2 = X3
      | X1 = X2
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | X3 = X4
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) ),
    inference(rectify,[],[f1537]) ).

fof(f1537,plain,
    ! [X1,X3,X4,X2,X5,X0] :
      ( X3 = X5
      | ? [X6] :
          ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,X6))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(X1,X6)) )
          & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,X6))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(X1,X6)) ) )
      | ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(v_F,X1))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0)) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(v_F,X1)) ) )
      | X2 = X4
      | X3 = X4
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | X2 = X5
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf) ),
    inference(nnf_transformation,[],[f1408]) ).

fof(f1408,plain,
    ! [X1,X3,X4,X2,X5,X0] :
      ( X3 = X5
      | ? [X6] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(X1,X6))
        <~> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,X6)) )
      | ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(v_F,X1))
      <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0)) )
      | X2 = X4
      | X3 = X4
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | X2 = X5
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf) ),
    inference(flattening,[],[f1407]) ).

fof(f1407,plain,
    ! [X4,X5,X2,X3,X0,X1] :
      ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(v_F,X1))
      <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0)) )
      | ? [X6] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(X1,X6))
        <~> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,X6)) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | X3 = X5
      | X2 = X4
      | X3 = X4
      | X2 = X5 ),
    inference(ennf_transformation,[],[f711]) ).

fof(f711,plain,
    ! [X4,X5,X2,X3,X0,X1] :
      ( X2 != X5
     => ( X3 != X4
       => ( X2 != X4
         => ( X3 != X5
           => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
             => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
               => ( ! [X6] :
                      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,X6))
                    <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(X1,X6)) )
                 => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),hAPP(v_F,X1))
                  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0)) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X25,X18,X6,X27,X26,X5] :
      ( X5 != X6
     => ( X26 != X27
       => ( X6 != X26
         => ( X5 != X27
           => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
             => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25,c_Arrow__Order__Mirabelle_OProf)
               => ( ! [X3] :
                      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X5),hAPP(X18,X3))
                    <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X27,X26),hAPP(X25,X3)) )
                 => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X27,X26),hAPP(v_F,X25))
                  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X5),hAPP(v_F,X18)) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__C2_C) ).

fof(f9801,plain,
    ( spl79_377
    | ~ spl79_30
    | spl79_390
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9727,f8079,f9799,f3201,f9743]) ).

fof(f9799,plain,
    ( spl79_390
  <=> ! [X2,X0,X1] :
        ( sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(v_P____,X0,X1,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_b____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X2)))
        | X0 = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_390])]) ).

fof(f9727,plain,
    ( ! [X2,X0,X1] :
        ( sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X0
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X2)))
        | v_b____ = X1
        | v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(v_P____,X0,X1,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X2))) )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2139]) ).

fof(f2139,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X5))
      | X1 = X2
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | X2 = X3
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,sK7(X0,X1,X2,X3,X4,X5)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,sK7(X0,X1,X2,X3,X4,X5)))
      | X1 = X4
      | X3 = X4
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf) ),
    inference(cnf_transformation,[],[f1540]) ).

fof(f9797,plain,
    ( spl79_389
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9741,f8079,f9794]) ).

fof(f9792,plain,
    ( spl79_377
    | ~ spl79_30
    | spl79_388
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9733,f8079,f9790,f3201,f9743]) ).

fof(f9790,plain,
    ( spl79_388
  <=> ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(X14,sK62(v_b____,X14,v_P____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(v_b____,X14,v_P____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(v_F,X14)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_388])]) ).

fof(f9733,plain,
    ( ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(X14,sK62(v_b____,X14,v_P____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(v_F,X14))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(v_b____,X14,v_P____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2682]) ).

fof(f2682,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(v_F,X2))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,sK62(X0,X1,X2,X3)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(v_F,X1))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,sK62(X0,X1,X2,X3)))
      | X0 = X3 ),
    inference(cnf_transformation,[],[f1957]) ).

fof(f1957,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X3
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,sK62(X0,X1,X2,X3)))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,sK62(X0,X1,X2,X3))) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,sK62(X0,X1,X2,X3)))
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,sK62(X0,X1,X2,X3))) ) )
      | ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(v_F,X2))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(v_F,X1)) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(v_F,X1))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(v_F,X2)) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f1955,f1956]) ).

fof(f1956,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,X4))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,X4)) )
          & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,X4))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,X4)) ) )
     => ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,sK62(X0,X1,X2,X3)))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,sK62(X0,X1,X2,X3))) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,sK62(X0,X1,X2,X3)))
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,sK62(X0,X1,X2,X3))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1955,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X3
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ? [X4] :
          ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,X4))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,X4)) )
          & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,X4))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,X4)) ) )
      | ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(v_F,X2))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(v_F,X1)) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(v_F,X1))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(v_F,X2)) ) ) ),
    inference(rectify,[],[f1954]) ).

fof(f1954,plain,
    ! [X0,X3,X2,X1] :
      ( X0 = X1
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
      | ? [X4] :
          ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,X4))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(X3,X4)) )
          & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,X4))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(X3,X4)) ) )
      | ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(v_F,X3)) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(v_F,X3))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2)) ) ) ),
    inference(nnf_transformation,[],[f1456]) ).

fof(f1456,plain,
    ! [X0,X3,X2,X1] :
      ( X0 = X1
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
      | ? [X4] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(X3,X4))
        <~> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,X4)) )
      | ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
      <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(v_F,X3)) ) ),
    inference(flattening,[],[f1455]) ).

fof(f1455,plain,
    ! [X1,X3,X0,X2] :
      ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
      <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(v_F,X3)) )
      | ? [X4] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(X3,X4))
        <~> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,X4)) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f951]) ).

fof(f951,plain,
    ! [X1,X3,X0,X2] :
      ( X0 != X1
     => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
       => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
         => ( ! [X4] :
                ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,X4))
              <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(X3,X4)) )
           => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
            <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(v_F,X3)) ) ) ) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X6,X5,X18,X25] :
      ( X5 != X6
     => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
       => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25,c_Arrow__Order__Mirabelle_OProf)
         => ( ! [X3] :
                ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X5),hAPP(X18,X3))
              <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X6),hAPP(X25,X3)) )
           => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X5),hAPP(v_F,X18))
            <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X6),hAPP(v_F,X25)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__C3_C) ).

fof(f9788,plain,
    ( spl79_387
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9740,f8079,f9785]) ).

fof(f9740,plain,
    ( hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2728]) ).

fof(f9783,plain,
    ( ~ spl79_30
    | spl79_386
    | spl79_377
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9731,f8079,f9743,f9781,f3201]) ).

fof(f9781,plain,
    ( spl79_386
  <=> ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(X12,sK62(v_b____,X12,v_P____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(v_b____,X12,v_P____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(v_F,X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_386])]) ).

fof(f9731,plain,
    ( ! [X12] :
        ( v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(X12,sK62(v_b____,X12,v_P____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(v_F,X12))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(v_b____,X12,v_P____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2680]) ).

fof(f2680,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(v_F,X2))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(v_F,X1))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,sK62(X0,X1,X2,X3)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,sK62(X0,X1,X2,X3)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f1957]) ).

fof(f9779,plain,
    ( ~ spl79_30
    | spl79_385
    | spl79_377
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9732,f8079,f9743,f9777,f3201]) ).

fof(f9777,plain,
    ( spl79_385
  <=> ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(v_F,X13))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(X13,sK62(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_385])]) ).

fof(f9732,plain,
    ( ! [X13] :
        ( v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(v_F,X13))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(X13,sK62(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,v_b____))) )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2681]) ).

fof(f2681,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(v_F,X1))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,sK62(X0,X1,X2,X3)))
      | X0 = X3
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(v_F,X2))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,sK62(X0,X1,X2,X3)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf) ),
    inference(cnf_transformation,[],[f1957]) ).

fof(f9775,plain,
    ( spl79_384
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9738,f8079,f9772]) ).

fof(f9738,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2441]) ).

fof(f9770,plain,
    ( ~ spl79_30
    | spl79_383
    | spl79_377
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9736,f8079,f9743,f9768,f3201]) ).

fof(f9768,plain,
    ( spl79_383
  <=> ! [X20,X21,X19] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | X19 = X21
        | v_b____ = X19
        | sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,X19,v_P____,v_b____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK64(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,X19,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_383])]) ).

fof(f9736,plain,
    ( ! [X21,X19,X20] :
        ( v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK64(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,X19,v_P____,v_b____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,X19,v_P____,v_b____)))
        | sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X21
        | v_b____ = X19
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | X19 = X21 )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2706]) ).

fof(f2706,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(v_F,X4))
      | X3 = X5
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,sK64(X0,X1,X2,X3,X4,X5)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(v_F,X2))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,sK64(X0,X1,X2,X3,X4,X5)))
      | X0 = X5
      | X1 = X3
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1981]) ).

fof(f1981,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X3 = X5
      | X1 = X3
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(v_F,X2))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X5
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(v_F,X4))
      | ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,sK64(X0,X1,X2,X3,X4,X5)))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,sK64(X0,X1,X2,X3,X4,X5))) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,sK64(X0,X1,X2,X3,X4,X5)))
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,sK64(X0,X1,X2,X3,X4,X5))) ) )
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f1979,f1980]) ).

fof(f1980,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X6] :
          ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,X6))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,X6)) )
          & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,X6))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,X6)) ) )
     => ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,sK64(X0,X1,X2,X3,X4,X5)))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,sK64(X0,X1,X2,X3,X4,X5))) )
        & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,sK64(X0,X1,X2,X3,X4,X5)))
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,sK64(X0,X1,X2,X3,X4,X5))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1979,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X3 = X5
      | X1 = X3
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(v_F,X2))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X5
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(v_F,X4))
      | ? [X6] :
          ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,X6))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,X6)) )
          & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,X6))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,X6)) ) )
      | X0 = X1 ),
    inference(rectify,[],[f1978]) ).

fof(f1978,plain,
    ! [X1,X3,X4,X2,X5,X0] :
      ( X0 = X2
      | X2 = X3
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(v_F,X4))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X1
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X5))
      | ? [X6] :
          ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X4,X6))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X5,X6)) )
          & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X4,X6))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X5,X6)) ) )
      | X1 = X3 ),
    inference(nnf_transformation,[],[f1382]) ).

fof(f1382,plain,
    ! [X1,X3,X4,X2,X5,X0] :
      ( X0 = X2
      | X2 = X3
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(v_F,X4))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X1
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X5))
      | ? [X6] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X5,X6))
        <~> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X4,X6)) )
      | X1 = X3 ),
    inference(flattening,[],[f1381]) ).

fof(f1381,plain,
    ! [X3,X5,X2,X0,X1,X4] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(v_F,X4))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X5))
      | ? [X6] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X5,X6))
        <~> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X4,X6)) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | X1 = X3
      | X0 = X2
      | X2 = X3
      | X0 = X1 ),
    inference(ennf_transformation,[],[f595]) ).

fof(f595,plain,
    ! [X3,X5,X2,X0,X1,X4] :
      ( X0 != X1
     => ( X2 != X3
       => ( X0 != X2
         => ( X1 != X3
           => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
             => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
               => ( ! [X6] :
                      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X5,X6))
                    <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X4,X6)) )
                 => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X5))
                   => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(v_F,X4)) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X6,X5,X26,X27,X25,X18] :
      ( X5 != X6
     => ( X26 != X27
       => ( X6 != X26
         => ( X5 != X27
           => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
             => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25,c_Arrow__Order__Mirabelle_OProf)
               => ( ! [X3] :
                      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X27,X26),hAPP(X25,X3))
                    <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X5),hAPP(X18,X3)) )
                 => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X5),hAPP(v_F,X18))
                   => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X27,X26),hAPP(v_F,X25)) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__C1_C) ).

fof(f9766,plain,
    ( ~ spl79_30
    | spl79_382
    | spl79_377
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9729,f8079,f9743,f9764,f3201]) ).

fof(f9764,plain,
    ( spl79_382
  <=> ! [X6,X8,X7] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | v_b____ = X7
        | X6 = X7
        | sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X6
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(v_P____,X6,X7,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X8)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_382])]) ).

fof(f9729,plain,
    ( ! [X8,X6,X7] :
        ( v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(v_P____,X6,X7,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X6
        | X6 = X7
        | v_b____ = X7 )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2141]) ).

fof(f2141,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,sK7(X0,X1,X2,X3,X4,X5)))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,sK7(X0,X1,X2,X3,X4,X5)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X5))
      | X3 = X4
      | X1 = X4
      | X2 = X3
      | X1 = X2
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) ),
    inference(cnf_transformation,[],[f1540]) ).

fof(f9762,plain,
    ( spl79_377
    | spl79_381
    | ~ spl79_30
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9734,f8079,f3201,f9760,f9743]) ).

fof(f9760,plain,
    ( spl79_381
  <=> ! [X15] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(X15,sK62(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,v_b____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_381])]) ).

fof(f9734,plain,
    ( ! [X15] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,v_b____)))
        | v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(X15,sK62(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_b____),hAPP(v_F,X15)) )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2683]) ).

fof(f2683,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(v_F,X1))
      | X0 = X3
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(v_F,X2))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X2,sK62(X0,X1,X2,X3)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),hAPP(X1,sK62(X0,X1,X2,X3)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf) ),
    inference(cnf_transformation,[],[f1957]) ).

fof(f9758,plain,
    ( spl79_380
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9739,f8079,f9755]) ).

fof(f9739,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f3352]) ).

fof(f3352,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(X1,X0),X3,X2)
      | c_Product__Type_OPair(X1,X0,sK37(X0,X3,X1,hAPP(c_Relation_Oconverse(X1,X0),X2)),sK36(X0,X3,X1,hAPP(c_Relation_Oconverse(X1,X0),X2))) = X3 ),
    inference(superposition,[],[f2405,f2510]) ).

fof(f2405,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(X2,X0),X1,hAPP(c_Relation_Oconverse(X0,X2),X3))
      | c_Product__Type_OPair(X2,X0,sK37(X0,X1,X2,X3),sK36(X0,X1,X2,X3)) = X1 ),
    inference(cnf_transformation,[],[f1750]) ).

fof(f1750,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_member(tc_prod(X2,X0),X1,hAPP(c_Relation_Oconverse(X0,X2),X3))
      | ( c_Product__Type_OPair(X2,X0,sK37(X0,X1,X2,X3),sK36(X0,X1,X2,X3)) = X1
        & c_member(tc_prod(X0,X2),c_Product__Type_OPair(X0,X2,sK36(X0,X1,X2,X3),sK37(X0,X1,X2,X3)),X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f1748,f1749]) ).

fof(f1749,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5] :
          ( c_Product__Type_OPair(X2,X0,X5,X4) = X1
          & c_member(tc_prod(X0,X2),c_Product__Type_OPair(X0,X2,X4,X5),X3) )
     => ( c_Product__Type_OPair(X2,X0,sK37(X0,X1,X2,X3),sK36(X0,X1,X2,X3)) = X1
        & c_member(tc_prod(X0,X2),c_Product__Type_OPair(X0,X2,sK36(X0,X1,X2,X3),sK37(X0,X1,X2,X3)),X3) ) ),
    introduced(choice_axiom,[]) ).

fof(f1748,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_member(tc_prod(X2,X0),X1,hAPP(c_Relation_Oconverse(X0,X2),X3))
      | ? [X4,X5] :
          ( c_Product__Type_OPair(X2,X0,X5,X4) = X1
          & c_member(tc_prod(X0,X2),c_Product__Type_OPair(X0,X2,X4,X5),X3) ) ),
    inference(rectify,[],[f1462]) ).

fof(f1462,plain,
    ! [X1,X0,X2,X3] :
      ( ~ c_member(tc_prod(X2,X1),X0,hAPP(c_Relation_Oconverse(X1,X2),X3))
      | ? [X5,X4] :
          ( c_Product__Type_OPair(X2,X1,X4,X5) = X0
          & c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X5,X4),X3) ) ),
    inference(ennf_transformation,[],[f836]) ).

fof(f836,plain,
    ! [X1,X3,X0,X2] :
      ( c_member(tc_prod(X2,X1),X0,hAPP(c_Relation_Oconverse(X1,X2),X3))
     => ~ ! [X5,X4] :
            ( c_Product__Type_OPair(X2,X1,X4,X5) = X0
           => ~ c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X5,X4),X3) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X34,X7,X8,X4] :
      ( c_member(tc_prod(X8,X7),X34,hAPP(c_Relation_Oconverse(X7,X8),X4))
     => ~ ! [X35,X2] :
            ( c_Product__Type_OPair(X8,X7,X35,X2) = X34
           => ~ c_member(tc_prod(X7,X8),c_Product__Type_OPair(X7,X8,X2,X35),X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_converseE) ).

fof(f9753,plain,
    ( spl79_377
    | ~ spl79_30
    | spl79_379
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9735,f8079,f9751,f3201,f9743]) ).

fof(f9751,plain,
    ( spl79_379
  <=> ! [X18,X16,X17] :
        ( X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X16
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X16,X18,X17,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK64(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X16,X18,X17,v_P____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_379])]) ).

fof(f9735,plain,
    ( ! [X18,X16,X17] :
        ( X16 = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK64(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X16,X18,X17,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X16,X18,X17,v_P____,v_b____)))
        | v_b____ = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18)) )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2705]) ).

fof(f2705,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(v_F,X4))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(v_F,X2))
      | X3 = X5
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | X1 = X3
      | X0 = X5
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X0),hAPP(X4,sK64(X0,X1,X2,X3,X4,X5)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X1
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),hAPP(X2,sK64(X0,X1,X2,X3,X4,X5))) ),
    inference(cnf_transformation,[],[f1981]) ).

fof(f9749,plain,
    ( ~ spl79_30
    | spl79_377
    | spl79_378
    | ~ spl79_250 ),
    inference(avatar_split_clause,[],[f9730,f8079,f9747,f9743,f3201]) ).

fof(f9747,plain,
    ( spl79_378
  <=> ! [X9,X11,X10] :
        ( v_b____ = X10
        | X9 = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X9,X10,v_P____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(X11,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X9,X10,v_P____)))
        | sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X9
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_378])]) ).

fof(f9730,plain,
    ( ! [X10,X11,X9] :
        ( v_b____ = X10
        | v_b____ = sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X9
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(X11,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X9,X10,v_P____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X9,X10,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | X9 = X10 )
    | ~ spl79_250 ),
    inference(resolution,[],[f8081,f2142]) ).

fof(f2142,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X5))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X0,sK7(X0,X1,X2,X3,X4,X5)))
      | X3 = X4
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | X1 = X2
      | X1 = X4
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X0))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | X2 = X3
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X5,sK7(X0,X1,X2,X3,X4,X5))) ),
    inference(cnf_transformation,[],[f1540]) ).

fof(f9726,plain,
    ( spl79_185
    | spl79_376
    | ~ spl79_96 ),
    inference(avatar_split_clause,[],[f9717,f4173,f9724,f7046]) ).

fof(f9724,plain,
    ( spl79_376
  <=> ! [X13,X12] :
        ( v_a____ = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X12),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,X12,v_b____,v_a____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | X12 = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X12),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_b____ = X12
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,X12,v_b____,v_a____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_376])]) ).

fof(f4173,plain,
    ( spl79_96
  <=> ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0,X1,v_b____,v_a____,X2)))
        | X0 = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0,X1,v_b____,v_a____,X2))))
        | v_a____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_96])]) ).

fof(f9717,plain,
    ( ! [X12,X13] :
        ( v_a____ = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,X12,v_b____,v_a____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))))
        | v_b____ = X12
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X12),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | X12 = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X12),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,X12,v_b____,v_a____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))) )
    | ~ spl79_96 ),
    inference(resolution,[],[f4174,f2213]) ).

fof(f4174,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X1
        | X0 = X1
        | v_a____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0,X1,v_b____,v_a____,X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0,X1,v_b____,v_a____,X2)))) )
    | ~ spl79_96 ),
    inference(avatar_component_clause,[],[f4173]) ).

fof(f9721,plain,
    ( spl79_185
    | spl79_375
    | ~ spl79_96 ),
    inference(avatar_split_clause,[],[f9716,f4173,f9719,f7046]) ).

fof(f9719,plain,
    ( spl79_375
  <=> ! [X11,X10] :
        ( v_b____ = X10
        | v_a____ = X11
        | X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X11,X10),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X11,X10,v_b____,v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X11,X10),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X11,X10,v_b____,v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_375])]) ).

fof(f9716,plain,
    ( ! [X10,X11] :
        ( v_b____ = X10
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X11,X10),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X11,X10,v_b____,v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X11,X10,v_b____,v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X11,X10),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | X10 = X11
        | v_a____ = X11 )
    | ~ spl79_96 ),
    inference(resolution,[],[f4174,f2159]) ).

fof(f9709,plain,
    ( spl79_185
    | spl79_374
    | ~ spl79_94 ),
    inference(avatar_split_clause,[],[f9701,f4163,f9707,f7046]) ).

fof(f9707,plain,
    ( spl79_374
  <=> ! [X13,X12] :
        ( v_b____ = X13
        | X12 = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_a____,X12,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X13,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK64(v_a____,X12,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X13,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))))
        | v_a____ = X12
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_374])]) ).

fof(f4163,plain,
    ( spl79_94
  <=> ! [X18,X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK64(v_a____,X16,X18,X17,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | X16 = X17
        | v_a____ = X16
        | v_b____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_94])]) ).

fof(f9701,plain,
    ( ! [X12,X13] :
        ( v_b____ = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_a____ = X12
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK64(v_a____,X12,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X13,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_a____,X12,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X13,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | X12 = X13 )
    | ~ spl79_94 ),
    inference(resolution,[],[f4164,f2213]) ).

fof(f4164,plain,
    ( ! [X18,X16,X17] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X16
        | X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK64(v_a____,X16,X18,X17,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | v_b____ = X17 )
    | ~ spl79_94 ),
    inference(avatar_component_clause,[],[f4163]) ).

fof(f9705,plain,
    ( spl79_185
    | spl79_373
    | ~ spl79_94 ),
    inference(avatar_split_clause,[],[f9700,f4163,f9703,f7046]) ).

fof(f9703,plain,
    ( spl79_373
  <=> ! [X11,X10] :
        ( X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK64(v_a____,X10,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X11,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))))
        | v_b____ = X11
        | v_a____ = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_a____,X10,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X11,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_373])]) ).

fof(f9700,plain,
    ( ! [X10,X11] :
        ( X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_a____,X10,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X11,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | v_a____ = X10
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | v_b____ = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK64(v_a____,X10,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X11,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))) )
    | ~ spl79_94 ),
    inference(resolution,[],[f4164,f2159]) ).

fof(f9693,plain,
    ( spl79_194
    | spl79_369
    | spl79_370
    | ~ spl79_71
    | ~ spl79_95 ),
    inference(avatar_split_clause,[],[f9672,f4168,f3738,f9680,f9676,f7111]) ).

fof(f7111,plain,
    ( spl79_194
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_194])]) ).

fof(f9676,plain,
    ( spl79_369
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_369])]) ).

fof(f9680,plain,
    ( spl79_370
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P_H____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_370])]) ).

fof(f3738,plain,
    ( spl79_71
  <=> hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_71])]) ).

fof(f4168,plain,
    ( spl79_95
  <=> ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,X12,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_95])]) ).

fof(f9672,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P_H____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))
    | ~ spl79_71
    | ~ spl79_95 ),
    inference(resolution,[],[f4169,f3794]) ).

fof(f3794,plain,
    ( ! [X0] : c_member(X0,v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_71 ),
    inference(resolution,[],[f3740,f2566]) ).

fof(f3740,plain,
    ( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____))
    | ~ spl79_71 ),
    inference(avatar_component_clause,[],[f3738]) ).

fof(f4169,plain,
    ( ! [X12] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,X12,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))) )
    | ~ spl79_95 ),
    inference(avatar_component_clause,[],[f4168]) ).

fof(f9692,plain,
    ( spl79_185
    | spl79_371
    | spl79_372
    | spl79_342
    | ~ spl79_95 ),
    inference(avatar_split_clause,[],[f9674,f4168,f9509,f9689,f9685,f7046]) ).

fof(f9685,plain,
    ( spl79_371
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_371])]) ).

fof(f9689,plain,
    ( spl79_372
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_372])]) ).

fof(f9509,plain,
    ( spl79_342
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_342])]) ).

fof(f9674,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
    | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | ~ spl79_95 ),
    inference(resolution,[],[f4169,f2213]) ).

fof(f9683,plain,
    ( spl79_369
    | spl79_370
    | spl79_194
    | ~ spl79_8
    | ~ spl79_95 ),
    inference(avatar_split_clause,[],[f9670,f4168,f3083,f7111,f9680,f9676]) ).

fof(f3083,plain,
    ( spl79_8
  <=> c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_8])]) ).

fof(f9670,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P_H____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
    | ~ spl79_8
    | ~ spl79_95 ),
    inference(resolution,[],[f4169,f3085]) ).

fof(f3085,plain,
    ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_8 ),
    inference(avatar_component_clause,[],[f3083]) ).

fof(f9667,plain,
    ( spl79_5
    | spl79_368
    | ~ spl79_179 ),
    inference(avatar_split_clause,[],[f9605,f6906,f9664,f3068]) ).

fof(f9664,plain,
    ( spl79_368
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,sK35(v_a____,hAPP(v_F,v_P_H____),v_b____,tc_Arrow__Order__Mirabelle_Oalt)),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_368])]) ).

fof(f6906,plain,
    ( spl79_179
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_179])]) ).

fof(f9605,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,sK35(v_a____,hAPP(v_F,v_P_H____),v_b____,tc_Arrow__Order__Mirabelle_Oalt)),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))
    | v_a____ = v_b____
    | ~ spl79_179 ),
    inference(resolution,[],[f6907,f2368]) ).

fof(f2368,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X0,X2),c_Transitive__Closure_Ortrancl(X3,X1))
      | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X0,sK35(X0,X1,X2,X3)),c_Transitive__Closure_Ortrancl(X3,X1))
      | X0 = X2 ),
    inference(cnf_transformation,[],[f1720]) ).

fof(f1720,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X0,X2),c_Transitive__Closure_Ortrancl(X3,X1))
      | X0 = X2
      | ( c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,sK35(X0,X1,X2,X3),X2),X1)
        & c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X0,sK35(X0,X1,X2,X3)),c_Transitive__Closure_Ortrancl(X3,X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f1718,f1719]) ).

fof(f1719,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X4,X2),X1)
          & c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X0,X4),c_Transitive__Closure_Ortrancl(X3,X1)) )
     => ( c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,sK35(X0,X1,X2,X3),X2),X1)
        & c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X0,sK35(X0,X1,X2,X3)),c_Transitive__Closure_Ortrancl(X3,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1718,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X0,X2),c_Transitive__Closure_Ortrancl(X3,X1))
      | X0 = X2
      | ? [X4] :
          ( c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X4,X2),X1)
          & c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X0,X4),c_Transitive__Closure_Ortrancl(X3,X1)) ) ),
    inference(rectify,[],[f1279]) ).

fof(f1279,plain,
    ! [X3,X1,X0,X2] :
      ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X0),c_Transitive__Closure_Ortrancl(X2,X1))
      | X0 = X3
      | ? [X4] :
          ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X0),X1)
          & c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),c_Transitive__Closure_Ortrancl(X2,X1)) ) ),
    inference(flattening,[],[f1278]) ).

fof(f1278,plain,
    ! [X1,X0,X2,X3] :
      ( ? [X4] :
          ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X0),X1)
          & c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),c_Transitive__Closure_Ortrancl(X2,X1)) )
      | X0 = X3
      | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X0),c_Transitive__Closure_Ortrancl(X2,X1)) ),
    inference(ennf_transformation,[],[f822]) ).

fof(f822,plain,
    ! [X1,X0,X2,X3] :
      ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X0),c_Transitive__Closure_Ortrancl(X2,X1))
     => ( X0 != X3
       => ~ ! [X4] :
              ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),c_Transitive__Closure_Ortrancl(X2,X1))
             => ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X0),X1) ) ) ),
    inference(rectify,[],[f98]) ).

fof(f98,axiom,
    ! [X5,X4,X8,X6] :
      ( c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X6,X5),c_Transitive__Closure_Ortrancl(X8,X4))
     => ( X5 != X6
       => ~ ! [X35] :
              ( c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X6,X35),c_Transitive__Closure_Ortrancl(X8,X4))
             => ~ c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X35,X5),X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rtranclE) ).

fof(f6907,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))
    | ~ spl79_179 ),
    inference(avatar_component_clause,[],[f6906]) ).

fof(f9662,plain,
    ( spl79_5
    | spl79_367
    | ~ spl79_179 ),
    inference(avatar_split_clause,[],[f9612,f6906,f9659,f3068]) ).

fof(f9659,plain,
    ( spl79_367
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),c_Relation_Orel__comp(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_367])]) ).

fof(f9612,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),c_Relation_Orel__comp(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))))
    | v_a____ = v_b____
    | ~ spl79_179 ),
    inference(resolution,[],[f6907,f2875]) ).

fof(f9657,plain,
    ( spl79_366
    | ~ spl79_179 ),
    inference(avatar_split_clause,[],[f9619,f6906,f9654]) ).

fof(f9654,plain,
    ( spl79_366
  <=> c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_366])]) ).

fof(f9619,plain,
    ( c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))
    | ~ spl79_179 ),
    inference(resolution,[],[f6907,f2728]) ).

fof(f9652,plain,
    ( spl79_365
    | ~ spl79_179 ),
    inference(avatar_split_clause,[],[f9615,f6906,f9649]) ).

fof(f9649,plain,
    ( spl79_365
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_365])]) ).

fof(f9615,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))))
    | ~ spl79_179 ),
    inference(resolution,[],[f6907,f2441]) ).

fof(f9647,plain,
    ( spl79_5
    | spl79_364
    | ~ spl79_179 ),
    inference(avatar_split_clause,[],[f9608,f6906,f9644,f3068]) ).

fof(f9644,plain,
    ( spl79_364
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),v_b____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_364])]) ).

fof(f9608,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),v_b____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))
    | v_a____ = v_b____
    | ~ spl79_179 ),
    inference(resolution,[],[f6907,f2426]) ).

fof(f9642,plain,
    ( spl79_363
    | ~ spl79_179 ),
    inference(avatar_split_clause,[],[f9620,f6906,f9639]) ).

fof(f9639,plain,
    ( spl79_363
  <=> hBOOL(hAPP(c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_363])]) ).

fof(f9620,plain,
    ( hBOOL(hAPP(c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_179 ),
    inference(resolution,[],[f6907,f2567]) ).

fof(f9637,plain,
    ( spl79_362
    | spl79_5
    | ~ spl79_179 ),
    inference(avatar_split_clause,[],[f9606,f6906,f3068,f9634]) ).

fof(f9634,plain,
    ( spl79_362
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK35(v_a____,hAPP(v_F,v_P_H____),v_b____,tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_362])]) ).

fof(f9606,plain,
    ( v_a____ = v_b____
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK35(v_a____,hAPP(v_F,v_P_H____),v_b____,tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(v_F,v_P_H____))
    | ~ spl79_179 ),
    inference(resolution,[],[f6907,f2369]) ).

fof(f2369,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X0,X2),c_Transitive__Closure_Ortrancl(X3,X1))
      | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,sK35(X0,X1,X2,X3),X2),X1)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f1720]) ).

fof(f9630,plain,
    ( spl79_5
    | spl79_361
    | ~ spl79_179 ),
    inference(avatar_split_clause,[],[f9609,f6906,f9627,f3068]) ).

fof(f9627,plain,
    ( spl79_361
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,sK43(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_361])]) ).

fof(f9609,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,sK43(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))),hAPP(v_F,v_P_H____))
    | v_a____ = v_b____
    | ~ spl79_179 ),
    inference(resolution,[],[f6907,f2427]) ).

fof(f9625,plain,
    ( spl79_360
    | ~ spl79_179 ),
    inference(avatar_split_clause,[],[f9616,f6906,f9622]) ).

fof(f9622,plain,
    ( spl79_360
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_360])]) ).

fof(f9616,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))))
    | ~ spl79_179 ),
    inference(resolution,[],[f6907,f3352]) ).

fof(f9603,plain,
    ( ~ spl79_8
    | spl79_5
    | spl79_359
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9537,f7111,f9601,f3068,f3083]) ).

fof(f9601,plain,
    ( spl79_359
  <=> ! [X18,X16,X17] :
        ( X16 = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_b____,X16,X18,X17,v_P_H____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK64(v_b____,X16,X18,X17,v_P_H____,v_a____)))
        | v_b____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_359])]) ).

fof(f9537,plain,
    ( ! [X18,X16,X17] :
        ( X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | v_b____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK64(v_b____,X16,X18,X17,v_P_H____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_b____,X16,X18,X17,v_P_H____,v_a____)))
        | v_a____ = v_b____
        | v_a____ = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2705]) ).

fof(f7112,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))
    | ~ spl79_194 ),
    inference(avatar_component_clause,[],[f7111]) ).

fof(f9599,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_358
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9532,f7111,f9597,f3083,f3068]) ).

fof(f9597,plain,
    ( spl79_358
  <=> ! [X9,X11,X10] :
        ( v_b____ = X9
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_a____,v_b____,X9,X10,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | v_a____ = X10
        | X9 = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK7(X11,v_a____,v_b____,X9,X10,v_P_H____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_358])]) ).

fof(f9532,plain,
    ( ! [X10,X11,X9] :
        ( v_b____ = X9
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK7(X11,v_a____,v_b____,X9,X10,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | X9 = X10
        | v_a____ = v_b____
        | v_a____ = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_a____,v_b____,X9,X10,v_P_H____))) )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2142]) ).

fof(f9595,plain,
    ( spl79_357
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9540,f7111,f9592]) ).

fof(f9592,plain,
    ( spl79_357
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_357])]) ).

fof(f9540,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2441]) ).

fof(f9590,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_356
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9538,f7111,f9588,f3083,f3068]) ).

fof(f9588,plain,
    ( spl79_356
  <=> ! [X20,X21,X19] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | v_b____ = X21
        | v_a____ = X19
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK64(v_b____,X21,X20,X19,v_P_H____,v_a____)))
        | X19 = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_b____,X21,X20,X19,v_P_H____,v_a____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_356])]) ).

fof(f9538,plain,
    ( ! [X21,X19,X20] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_b____,X21,X20,X19,v_P_H____,v_a____)))
        | X19 = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK64(v_b____,X21,X20,X19,v_P_H____,v_a____)))
        | v_a____ = X19
        | v_b____ = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20)) )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2706]) ).

fof(f9586,plain,
    ( ~ spl79_8
    | spl79_5
    | spl79_355
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9530,f7111,f9584,f3068,f3083]) ).

fof(f9584,plain,
    ( spl79_355
  <=> ! [X4,X5,X3] :
        ( v_b____ = X3
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_a____,v_b____,X3,X4,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK7(X5,v_a____,v_b____,X3,X4,v_P_H____)))
        | X3 = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | v_a____ = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_355])]) ).

fof(f9530,plain,
    ( ! [X3,X4,X5] :
        ( v_b____ = X3
        | v_a____ = v_b____
        | v_a____ = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | X3 = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK7(X5,v_a____,v_b____,X3,X4,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_a____,v_b____,X3,X4,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2140]) ).

fof(f9582,plain,
    ( spl79_354
    | spl79_5
    | ~ spl79_8
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9534,f7111,f3083,f3068,f9580]) ).

fof(f9580,plain,
    ( spl79_354
  <=> ! [X13] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,X13,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X13,sK62(v_b____,v_P_H____,X13,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_354])]) ).

fof(f9534,plain,
    ( ! [X13] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X13))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X13,sK62(v_b____,v_P_H____,X13,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,X13,v_a____))) )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2681]) ).

fof(f9578,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_353
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9536,f7111,f9576,f3083,f3068]) ).

fof(f9576,plain,
    ( spl79_353
  <=> ! [X15] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X15,sK62(v_b____,v_P_H____,X15,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,X15,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_353])]) ).

fof(f9536,plain,
    ( ! [X15] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X15,sK62(v_b____,v_P_H____,X15,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,X15,v_a____)))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X15)) )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2683]) ).

fof(f9574,plain,
    ( spl79_5
    | spl79_352
    | ~ spl79_8
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9535,f7111,f3083,f9572,f3068]) ).

fof(f9572,plain,
    ( spl79_352
  <=> ! [X14] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X14))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X14,sK62(v_a____,X14,v_P_H____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_a____,X14,v_P_H____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_352])]) ).

fof(f9535,plain,
    ( ! [X14] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X14))
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_a____,X14,v_P_H____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X14,sK62(v_a____,X14,v_P_H____,v_b____))) )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2682]) ).

fof(f9570,plain,
    ( spl79_5
    | spl79_351
    | ~ spl79_8
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9533,f7111,f3083,f9568,f3068]) ).

fof(f9568,plain,
    ( spl79_351
  <=> ! [X12] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_a____,X12,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X12,sK62(v_a____,X12,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_351])]) ).

fof(f9533,plain,
    ( ! [X12] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X12))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X12,sK62(v_a____,X12,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_a____,X12,v_P_H____,v_b____)))
        | v_a____ = v_b____ )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2680]) ).

fof(f9566,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_350
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9531,f7111,f9564,f3083,f3068]) ).

fof(f9564,plain,
    ( spl79_350
  <=> ! [X6,X7,X8] :
        ( v_a____ = X7
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | X6 = X7
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | v_b____ = X6
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P_H____,X6,X7,v_a____,v_b____,X8)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK7(v_P_H____,X6,X7,v_a____,v_b____,X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_350])]) ).

fof(f9531,plain,
    ( ! [X8,X6,X7] :
        ( v_a____ = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK7(v_P_H____,X6,X7,v_a____,v_b____,X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P_H____,X6,X7,v_a____,v_b____,X8)))
        | v_b____ = X6
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | X6 = X7
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____ )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2141]) ).

fof(f9562,plain,
    ( spl79_349
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9542,f7111,f9559]) ).

fof(f9559,plain,
    ( spl79_349
  <=> hAPP(v_F,v_P_H____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_349])]) ).

fof(f9542,plain,
    ( hAPP(v_F,v_P_H____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2728]) ).

fof(f9557,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_348
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9529,f7111,f9555,f3083,f3068]) ).

fof(f9555,plain,
    ( spl79_348
  <=> ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P_H____,X0,X1,v_a____,v_b____,X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK7(v_P_H____,X0,X1,v_a____,v_b____,X2)))
        | v_a____ = X1
        | X0 = X1
        | v_b____ = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_348])]) ).

fof(f9529,plain,
    ( ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P_H____,X0,X1,v_a____,v_b____,X2)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X0
        | X0 = X1
        | v_a____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK7(v_P_H____,X0,X1,v_a____,v_b____,X2)))
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2)) )
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2139]) ).

fof(f9553,plain,
    ( spl79_347
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9543,f7111,f9550]) ).

fof(f9550,plain,
    ( spl79_347
  <=> hBOOL(hAPP(hAPP(v_F,v_P_H____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_347])]) ).

fof(f9543,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P_H____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f2567]) ).

fof(f9548,plain,
    ( spl79_346
    | ~ spl79_194 ),
    inference(avatar_split_clause,[],[f9541,f7111,f9545]) ).

fof(f9545,plain,
    ( spl79_346
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_346])]) ).

fof(f9541,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))))
    | ~ spl79_194 ),
    inference(resolution,[],[f7112,f3352]) ).

fof(f9528,plain,
    ( spl79_319
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9152,f4088,f9162]) ).

fof(f9162,plain,
    ( spl79_319
  <=> hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_319])]) ).

fof(f9152,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_87 ),
    inference(resolution,[],[f4090,f2567]) ).

fof(f9527,plain,
    ( spl79_86
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9145,f4088,f4084]) ).

fof(f9145,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | ~ spl79_87 ),
    inference(resolution,[],[f4090,f2292]) ).

fof(f2292,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_member(tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X3,X4),hAPP(c_Relation_Oconverse(X1,X0),X2))
      | c_member(tc_prod(X1,X0),c_Product__Type_OPair(X1,X0,X4,X3),X2) ),
    inference(cnf_transformation,[],[f1668]) ).

fof(f1668,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_member(tc_prod(X1,X0),c_Product__Type_OPair(X1,X0,X4,X3),X2)
      | ~ c_member(tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X3,X4),hAPP(c_Relation_Oconverse(X1,X0),X2)) ),
    inference(rectify,[],[f1055]) ).

fof(f1055,plain,
    ! [X4,X0,X3,X1,X2] :
      ( c_member(tc_prod(X0,X4),c_Product__Type_OPair(X0,X4,X2,X1),X3)
      | ~ c_member(tc_prod(X4,X0),c_Product__Type_OPair(X4,X0,X1,X2),hAPP(c_Relation_Oconverse(X0,X4),X3)) ),
    inference(ennf_transformation,[],[f726]) ).

fof(f726,plain,
    ! [X2,X4,X0,X3,X1] :
      ( c_member(tc_prod(X4,X0),c_Product__Type_OPair(X4,X0,X1,X2),hAPP(c_Relation_Oconverse(X0,X4),X3))
     => c_member(tc_prod(X0,X4),c_Product__Type_OPair(X0,X4,X2,X1),X3) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X7,X6,X5,X4,X8] :
      ( c_member(tc_prod(X8,X7),c_Product__Type_OPair(X8,X7,X6,X5),hAPP(c_Relation_Oconverse(X7,X8),X4))
     => c_member(tc_prod(X7,X8),c_Product__Type_OPair(X7,X8,X5,X6),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_converseD) ).

fof(f9526,plain,
    ( spl79_343
    | spl79_344
    | spl79_345
    | ~ spl79_37
    | ~ spl79_88 ),
    inference(avatar_split_clause,[],[f9513,f4133,f3283,f9523,f9519,f9515]) ).

fof(f9515,plain,
    ( spl79_343
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_343])]) ).

fof(f9519,plain,
    ( spl79_344
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_344])]) ).

fof(f9523,plain,
    ( spl79_345
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_345])]) ).

fof(f4133,plain,
    ( spl79_88
  <=> ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,v_b____))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_88])]) ).

fof(f9513,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))))
    | ~ spl79_37
    | ~ spl79_88 ),
    inference(forward_demodulation,[],[f9469,f2968]) ).

fof(f9469,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))))
    | ~ spl79_37
    | ~ spl79_88 ),
    inference(resolution,[],[f4134,f3285]) ).

fof(f3285,plain,
    ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_37 ),
    inference(avatar_component_clause,[],[f3283]) ).

fof(f4134,plain,
    ( ! [X13] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,v_b____))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13)) )
    | ~ spl79_88 ),
    inference(avatar_component_clause,[],[f4133]) ).

fof(f9512,plain,
    ( spl79_340
    | spl79_341
    | spl79_185
    | spl79_342
    | ~ spl79_88 ),
    inference(avatar_split_clause,[],[f9474,f4133,f9509,f7046,f9505,f9501]) ).

fof(f9501,plain,
    ( spl79_340
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_340])]) ).

fof(f9505,plain,
    ( spl79_341
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_341])]) ).

fof(f9474,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____)))
    | ~ spl79_88 ),
    inference(resolution,[],[f4134,f2213]) ).

fof(f9499,plain,
    ( spl79_24
    | spl79_87
    | spl79_86
    | ~ spl79_70
    | ~ spl79_88 ),
    inference(avatar_split_clause,[],[f9471,f4133,f3733,f4084,f4088,f3169]) ).

fof(f3733,plain,
    ( spl79_70
  <=> hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_70])]) ).

fof(f9471,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_70
    | ~ spl79_88 ),
    inference(resolution,[],[f4134,f3757]) ).

fof(f3757,plain,
    ( ! [X0] : c_member(X0,v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_70 ),
    inference(resolution,[],[f3735,f2566]) ).

fof(f3735,plain,
    ( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____))
    | ~ spl79_70 ),
    inference(avatar_component_clause,[],[f3733]) ).

fof(f9498,plain,
    ( spl79_335
    | spl79_336
    | spl79_194
    | ~ spl79_71
    | ~ spl79_88 ),
    inference(avatar_split_clause,[],[f9472,f4133,f3738,f7111,f9480,f9476]) ).

fof(f9476,plain,
    ( spl79_335
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_335])]) ).

fof(f9480,plain,
    ( spl79_336
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_336])]) ).

fof(f9472,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____))))
    | ~ spl79_71
    | ~ spl79_88 ),
    inference(resolution,[],[f4134,f3794]) ).

fof(f9497,plain,
    ( spl79_86
    | spl79_87
    | spl79_24
    | ~ spl79_30
    | ~ spl79_88 ),
    inference(avatar_split_clause,[],[f9468,f4133,f3201,f3169,f4088,f4084]) ).

fof(f9468,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | ~ spl79_30
    | ~ spl79_88 ),
    inference(resolution,[],[f4134,f3203]) ).

fof(f3203,plain,
    ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_30 ),
    inference(avatar_component_clause,[],[f3201]) ).

fof(f9496,plain,
    ( spl79_337
    | spl79_185
    | spl79_338
    | spl79_339
    | ~ spl79_88 ),
    inference(avatar_split_clause,[],[f9473,f4133,f9493,f9489,f7046,f9485]) ).

fof(f9485,plain,
    ( spl79_337
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_337])]) ).

fof(f9489,plain,
    ( spl79_338
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_338])]) ).

fof(f9493,plain,
    ( spl79_339
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_339])]) ).

fof(f9473,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____)))
    | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____))))
    | ~ spl79_88 ),
    inference(resolution,[],[f4134,f2159]) ).

fof(f9483,plain,
    ( spl79_335
    | spl79_194
    | spl79_336
    | ~ spl79_8
    | ~ spl79_88 ),
    inference(avatar_split_clause,[],[f9470,f4133,f3083,f9480,f7111,f9476]) ).

fof(f9470,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____))))
    | ~ spl79_8
    | ~ spl79_88 ),
    inference(resolution,[],[f4134,f3085]) ).

fof(f9452,plain,
    ( spl79_334
    | spl79_185
    | ~ spl79_67 ),
    inference(avatar_split_clause,[],[f9444,f3620,f7046,f9450]) ).

fof(f9450,plain,
    ( spl79_334
  <=> ! [X13,X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_c____,X12,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X13,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK64(v_c____,X12,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X13,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | X12 = X13
        | v_b____ = X13
        | v_c____ = X12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_334])]) ).

fof(f3620,plain,
    ( spl79_67
  <=> ! [X18,X16,X17] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | v_b____ = X17
        | v_c____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_c____,X16,X18,X17,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK64(v_c____,X16,X18,X17,v_P_H____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_67])]) ).

fof(f9444,plain,
    ( ! [X12,X13] :
        ( c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_c____,X12,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X13,v_P_H____,v_b____)))
        | v_c____ = X12
        | v_b____ = X13
        | X12 = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK64(v_c____,X12,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X13,v_P_H____,v_b____))) )
    | ~ spl79_67 ),
    inference(resolution,[],[f3621,f2213]) ).

fof(f3621,plain,
    ( ! [X18,X16,X17] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | v_c____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_c____,X16,X18,X17,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK64(v_c____,X16,X18,X17,v_P_H____,v_b____)))
        | v_b____ = X17 )
    | ~ spl79_67 ),
    inference(avatar_component_clause,[],[f3620]) ).

fof(f9448,plain,
    ( spl79_185
    | spl79_333
    | ~ spl79_67 ),
    inference(avatar_split_clause,[],[f9443,f3620,f9446,f7046]) ).

fof(f9446,plain,
    ( spl79_333
  <=> ! [X11,X10] :
        ( v_c____ = X10
        | v_b____ = X11
        | X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_c____,X10,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X11,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK64(v_c____,X10,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X11,v_P_H____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_333])]) ).

fof(f9443,plain,
    ( ! [X10,X11] :
        ( v_c____ = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK64(v_c____,X10,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X11,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_c____,X10,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X11,v_P_H____,v_b____)))
        | X10 = X11
        | v_b____ = X11
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool)) )
    | ~ spl79_67 ),
    inference(resolution,[],[f3621,f2159]) ).

fof(f9423,plain,
    ( spl79_185
    | spl79_332
    | ~ spl79_61 ),
    inference(avatar_split_clause,[],[f9414,f3518,f9421,f7046]) ).

fof(f9421,plain,
    ( spl79_332
  <=> ! [X11,X10] :
        ( v_b____ = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_c____,X10,X11,v_P_H____)))
        | v_c____ = X10
        | X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_c____,X10,X11,v_P_H____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_332])]) ).

fof(f3518,plain,
    ( spl79_61
  <=> ! [X2,X0,X1] :
        ( v_b____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(X2,v_b____,v_c____,X0,X1,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(X2,v_b____,v_c____,X0,X1,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_c____ = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_61])]) ).

fof(f9414,plain,
    ( ! [X10,X11] :
        ( v_b____ = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_c____,X10,X11,v_P_H____)))
        | X10 = X11
        | v_c____ = X10
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_c____,X10,X11,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) )
    | ~ spl79_61 ),
    inference(resolution,[],[f3519,f2159]) ).

fof(f3519,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(X2,v_b____,v_c____,X0,X1,v_P_H____)))
        | X0 = X1
        | v_b____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(X2,v_b____,v_c____,X0,X1,v_P_H____)))
        | v_c____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2)) )
    | ~ spl79_61 ),
    inference(avatar_component_clause,[],[f3518]) ).

fof(f9419,plain,
    ( spl79_185
    | spl79_331
    | ~ spl79_61 ),
    inference(avatar_split_clause,[],[f9415,f3518,f9417,f7046]) ).

fof(f9417,plain,
    ( spl79_331
  <=> ! [X13,X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_c____,X12,X13,v_P_H____)))
        | v_b____ = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_c____ = X12
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_c____,X12,X13,v_P_H____)))
        | X12 = X13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_331])]) ).

fof(f9415,plain,
    ( ! [X12,X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_c____,X12,X13,v_P_H____)))
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | X12 = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____,v_c____,X12,X13,v_P_H____)))
        | v_c____ = X12
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_b____ = X13 )
    | ~ spl79_61 ),
    inference(resolution,[],[f3519,f2213]) ).

fof(f9261,plain,
    ( ~ spl79_30
    | spl79_225
    | spl79_330
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f9048,f3488,f9259,f7723,f3201]) ).

fof(f9259,plain,
    ( spl79_330
  <=> ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X13,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_330])]) ).

fof(f9048,plain,
    ( ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X13))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X13,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2681]) ).

fof(f9257,plain,
    ( ~ spl79_30
    | spl79_225
    | spl79_329
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f9047,f3488,f9255,f7723,f3201]) ).

fof(f9255,plain,
    ( spl79_329
  <=> ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X12))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X12,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_329])]) ).

fof(f9047,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X12,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X12)) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2680]) ).

fof(f9253,plain,
    ( spl79_328
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f9054,f3488,f9250]) ).

fof(f9250,plain,
    ( spl79_328
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_328])]) ).

fof(f9054,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2441]) ).

fof(f9248,plain,
    ( spl79_225
    | ~ spl79_30
    | spl79_327
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f9049,f3488,f9246,f3201,f7723]) ).

fof(f9246,plain,
    ( spl79_327
  <=> ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X14,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X14)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_327])]) ).

fof(f9049,plain,
    ( ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X14))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X14,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2682]) ).

fof(f9244,plain,
    ( spl79_225
    | ~ spl79_30
    | spl79_326
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f9050,f3488,f9242,f3201,f7723]) ).

fof(f9242,plain,
    ( spl79_326
  <=> ! [X15] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X15,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X15)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_326])]) ).

fof(f9050,plain,
    ( ! [X15] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X15,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2683]) ).

fof(f9240,plain,
    ( spl79_44
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f9060,f3488,f3483,f3362]) ).

fof(f9060,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f9054,f3485]) ).

fof(f9239,plain,
    ( spl79_44
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8353,f3488,f3483,f3362]) ).

fof(f8353,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f8315,f3485]) ).

fof(f8315,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2441]) ).

fof(f9238,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7147,f3341,f3100]) ).

fof(f3100,plain,
    ( spl79_11
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_11])]) ).

fof(f3341,plain,
    ( spl79_42
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_42])]) ).

fof(f7147,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2292]) ).

fof(f3343,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))
    | ~ spl79_42 ),
    inference(avatar_component_clause,[],[f3341]) ).

fof(f9237,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5115,f3356,f3096]) ).

fof(f3356,plain,
    ( spl79_43
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_43])]) ).

fof(f5115,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2292]) ).

fof(f3358,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
    | ~ spl79_43 ),
    inference(avatar_component_clause,[],[f3356]) ).

fof(f9236,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5126,f3356,f3096]) ).

fof(f5126,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(forward_demodulation,[],[f5116,f2510]) ).

fof(f5116,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2441]) ).

fof(f9235,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7163,f3341,f3100]) ).

fof(f7163,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(forward_demodulation,[],[f7149,f2510]) ).

fof(f7149,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2441]) ).

fof(f9234,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4348,f3341,f3100]) ).

fof(f4348,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2292]) ).

fof(f9233,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3928,f3341,f3100]) ).

fof(f3928,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(forward_demodulation,[],[f3914,f2510]) ).

fof(f3914,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2441]) ).

fof(f9232,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f7435,f3356,f3096]) ).

fof(f7435,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2292]) ).

fof(f9231,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7844,f3341,f3100]) ).

fof(f7844,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2292]) ).

fof(f9230,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3913,f3341,f3100]) ).

fof(f3913,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2292]) ).

fof(f9229,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f7856,f3356,f3096]) ).

fof(f7856,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2292]) ).

fof(f9228,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f8447,f3356,f3096]) ).

fof(f8447,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(forward_demodulation,[],[f8441,f2510]) ).

fof(f8441,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2441]) ).

fof(f9227,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f7867,f3356,f3096]) ).

fof(f7867,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(forward_demodulation,[],[f7858,f2510]) ).

fof(f7858,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2441]) ).

fof(f9226,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f8437,f3341,f3100]) ).

fof(f8437,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(forward_demodulation,[],[f8429,f2510]) ).

fof(f8429,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2441]) ).

fof(f9225,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4353,f3341,f3100]) ).

fof(f4353,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(forward_demodulation,[],[f4349,f2510]) ).

fof(f4349,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2441]) ).

fof(f9224,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4774,f3341,f3100]) ).

fof(f4774,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2292]) ).

fof(f9223,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f8439,f3356,f3096]) ).

fof(f8439,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2292]) ).

fof(f9222,plain,
    ( spl79_325
    | ~ spl79_86 ),
    inference(avatar_split_clause,[],[f9202,f4084,f9219]) ).

fof(f9219,plain,
    ( spl79_325
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_325])]) ).

fof(f9202,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))))
    | ~ spl79_86 ),
    inference(resolution,[],[f4086,f3352]) ).

fof(f9217,plain,
    ( spl79_87
    | ~ spl79_86 ),
    inference(avatar_split_clause,[],[f9201,f4084,f4088]) ).

fof(f9201,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))
    | ~ spl79_86 ),
    inference(resolution,[],[f4086,f2441]) ).

fof(f9216,plain,
    ( spl79_324
    | ~ spl79_86 ),
    inference(avatar_split_clause,[],[f9203,f4084,f9213]) ).

fof(f9213,plain,
    ( spl79_324
  <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))) = hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_324])]) ).

fof(f9203,plain,
    ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))) = hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))
    | ~ spl79_86 ),
    inference(resolution,[],[f4086,f2728]) ).

fof(f9210,plain,
    ( spl79_323
    | ~ spl79_86 ),
    inference(avatar_split_clause,[],[f9204,f4084,f9207]) ).

fof(f9207,plain,
    ( spl79_323
  <=> hBOOL(hAPP(hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_323])]) ).

fof(f9204,plain,
    ( hBOOL(hAPP(hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_86 ),
    inference(resolution,[],[f4086,f2567]) ).

fof(f9205,plain,
    ( spl79_318
    | ~ spl79_86 ),
    inference(avatar_split_clause,[],[f9199,f4084,f9154]) ).

fof(f9154,plain,
    ( spl79_318
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_318])]) ).

fof(f9199,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | ~ spl79_86 ),
    inference(resolution,[],[f4086,f2232]) ).

fof(f2232,plain,
    ! [X0] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X0))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X0)) ),
    inference(cnf_transformation,[],[f1617]) ).

fof(f1617,plain,
    ! [X0] :
      ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X0))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X0)) )
      & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X0))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X0)) ) ),
    inference(nnf_transformation,[],[f856]) ).

fof(f856,plain,
    ! [X0] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X0))
    <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X0)) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X3))
    <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_iff) ).

fof(f9184,plain,
    ( spl79_86
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9183,f4088,f4084]) ).

fof(f9183,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | ~ spl79_87 ),
    inference(forward_demodulation,[],[f9147,f2510]) ).

fof(f9147,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))))
    | ~ spl79_87 ),
    inference(resolution,[],[f4090,f2441]) ).

fof(f9182,plain,
    ( spl79_322
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9148,f4088,f9179]) ).

fof(f9179,plain,
    ( spl79_322
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_322])]) ).

fof(f9148,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | ~ spl79_87 ),
    inference(resolution,[],[f4090,f2404]) ).

fof(f2404,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(tc_prod(X2,X0),X1,hAPP(c_Relation_Oconverse(X0,X2),X3))
      | c_member(tc_prod(X0,X2),c_Product__Type_OPair(X0,X2,sK36(X0,X1,X2,X3),sK37(X0,X1,X2,X3)),X3) ),
    inference(cnf_transformation,[],[f1750]) ).

fof(f9177,plain,
    ( spl79_320
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9149,f4088,f9168]) ).

fof(f9168,plain,
    ( spl79_320
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_320])]) ).

fof(f9149,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))
    | ~ spl79_87 ),
    inference(resolution,[],[f4090,f2405]) ).

fof(f9176,plain,
    ( spl79_321
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9151,f4088,f9173]) ).

fof(f9173,plain,
    ( spl79_321
  <=> hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_321])]) ).

fof(f9151,plain,
    ( hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))
    | ~ spl79_87 ),
    inference(resolution,[],[f4090,f2728]) ).

fof(f9171,plain,
    ( spl79_320
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9166,f4088,f9168]) ).

fof(f9166,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))
    | ~ spl79_87 ),
    inference(forward_demodulation,[],[f9150,f2510]) ).

fof(f9150,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))))
    | ~ spl79_87 ),
    inference(resolution,[],[f4090,f3352]) ).

fof(f9165,plain,
    ( spl79_319
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9152,f4088,f9162]) ).

fof(f9160,plain,
    ( spl79_86
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9145,f4088,f4084]) ).

fof(f9157,plain,
    ( spl79_318
    | ~ spl79_87 ),
    inference(avatar_split_clause,[],[f9144,f4088,f9154]) ).

fof(f9144,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | ~ spl79_87 ),
    inference(resolution,[],[f4090,f3146]) ).

fof(f3146,plain,
    ! [X0] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X0)) ),
    inference(backward_demodulation,[],[f2274,f2968]) ).

fof(f2274,plain,
    ! [X0] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X0)) ),
    inference(cnf_transformation,[],[f1655]) ).

fof(f1655,plain,
    ! [X0] :
      ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X0)) )
      & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X0))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0)) ) ),
    inference(nnf_transformation,[],[f660]) ).

fof(f660,plain,
    ! [X0] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0))
    <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X0)) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X3] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,X3))
    <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062_Iconverse_Ao_AP_J_Ai_092_060_094esub_062_Aa_J_A_061_A_Ib_A_060_092_060_094bsub_062P_H_Ai_092_060_094esub_062_Ac_J_096) ).

fof(f9037,plain,
    ( spl79_317
    | spl79_5
    | ~ spl79_248 ),
    inference(avatar_split_clause,[],[f8996,f7926,f3068,f9035]) ).

fof(f9035,plain,
    ( spl79_317
  <=> ! [X2] : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK35(v_b____,X2,v_a____,tc_Arrow__Order__Mirabelle_Oalt)),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_317])]) ).

fof(f8996,plain,
    ( ! [X2] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK35(v_b____,X2,v_a____,tc_Arrow__Order__Mirabelle_Oalt)),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X2))
        | v_a____ = v_b____ )
    | ~ spl79_248 ),
    inference(resolution,[],[f8961,f2368]) ).

fof(f9033,plain,
    ( spl79_5
    | spl79_316
    | ~ spl79_248 ),
    inference(avatar_split_clause,[],[f9003,f7926,f9031,f3068]) ).

fof(f9029,plain,
    ( spl79_5
    | spl79_315
    | ~ spl79_248 ),
    inference(avatar_split_clause,[],[f8997,f7926,f9027,f3068]) ).

fof(f9027,plain,
    ( spl79_315
  <=> ! [X3] : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK35(v_b____,X3,v_a____,tc_Arrow__Order__Mirabelle_Oalt),v_a____),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_315])]) ).

fof(f8997,plain,
    ( ! [X3] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK35(v_b____,X3,v_a____,tc_Arrow__Order__Mirabelle_Oalt),v_a____),X3)
        | v_a____ = v_b____ )
    | ~ spl79_248 ),
    inference(resolution,[],[f8961,f2369]) ).

fof(f9025,plain,
    ( spl79_5
    | spl79_314
    | ~ spl79_248 ),
    inference(avatar_split_clause,[],[f8999,f7926,f9023,f3068]) ).

fof(f9021,plain,
    ( spl79_313
    | spl79_5
    | ~ spl79_248 ),
    inference(avatar_split_clause,[],[f9000,f7926,f3068,f9019]) ).

fof(f9019,plain,
    ( spl79_313
  <=> ! [X7] : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,X7)),X7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_313])]) ).

fof(f9000,plain,
    ( ! [X7] :
        ( v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,X7)),X7) )
    | ~ spl79_248 ),
    inference(resolution,[],[f8961,f2427]) ).

fof(f8994,plain,
    ( ~ spl79_312
    | ~ spl79_248 ),
    inference(avatar_split_clause,[],[f8959,f7926,f8991]) ).

fof(f8991,plain,
    ( spl79_312
  <=> c_Wellfounded_Owf(tc_Arrow__Order__Mirabelle_Oalt,c_fequal(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_312])]) ).

fof(f8959,plain,
    ( ~ c_Wellfounded_Owf(tc_Arrow__Order__Mirabelle_Oalt,c_fequal(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_248 ),
    inference(superposition,[],[f3805,f7928]) ).

fof(f3805,plain,
    ! [X2,X3] : ~ c_Wellfounded_Owf(X2,c_fequal(c_Product__Type_OPair(X2,X2,X3,X3))),
    inference(resolution,[],[f2108,f2925]) ).

fof(f2925,plain,
    ! [X2,X1] : c_member(X2,X1,c_fequal(X1)),
    inference(equality_resolution,[],[f2287]) ).

fof(f2287,plain,
    ! [X2,X0,X1] :
      ( c_member(X2,X1,c_fequal(X0))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f1666]) ).

fof(f1666,plain,
    ! [X0,X1,X2] :
      ( ( X0 = X1
        | ~ c_member(X2,X1,c_fequal(X0)) )
      & ( c_member(X2,X1,c_fequal(X0))
        | X0 != X1 ) ),
    inference(rectify,[],[f1665]) ).

fof(f1665,plain,
    ! [X1,X2,X0] :
      ( ( X1 = X2
        | ~ c_member(X0,X2,c_fequal(X1)) )
      & ( c_member(X0,X2,c_fequal(X1))
        | X1 != X2 ) ),
    inference(nnf_transformation,[],[f709]) ).

fof(f709,plain,
    ! [X1,X2,X0] :
      ( X1 = X2
    <=> c_member(X0,X2,c_fequal(X1)) ),
    inference(rectify,[],[f479]) ).

fof(f479,axiom,
    ! [X8,X14,X15] :
      ( X14 = X15
    <=> c_member(X8,X15,c_fequal(X14)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__mem) ).

fof(f2108,plain,
    ! [X2,X0,X1] :
      ( ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X1),X2)
      | ~ c_Wellfounded_Owf(X0,X2) ),
    inference(cnf_transformation,[],[f1510]) ).

fof(f1510,plain,
    ! [X0,X1,X2] :
      ( ~ c_Wellfounded_Owf(X0,X2)
      | ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X1),X2) ),
    inference(rectify,[],[f1114]) ).

fof(f1114,plain,
    ! [X2,X1,X0] :
      ( ~ c_Wellfounded_Owf(X2,X0)
      | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X1,X1),X0) ),
    inference(ennf_transformation,[],[f658]) ).

fof(f658,plain,
    ! [X0,X2,X1] :
      ( c_Wellfounded_Owf(X2,X0)
     => ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X1,X1),X0) ),
    inference(rectify,[],[f176]) ).

fof(f176,axiom,
    ! [X4,X6,X8] :
      ( c_Wellfounded_Owf(X8,X4)
     => ~ c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X6,X6),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_wf__not__refl) ).

fof(f8888,plain,
    ( spl79_311
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8828,f6451,f8885]) ).

fof(f8885,plain,
    ( spl79_311
  <=> hBOOL(hAPP(hAPP(v_F,v_P_H____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_311])]) ).

fof(f6451,plain,
    ( spl79_160
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_160])]) ).

fof(f8828,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P_H____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____)))
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2567]) ).

fof(f6453,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P_H____))
    | ~ spl79_160 ),
    inference(avatar_component_clause,[],[f6451]) ).

fof(f8883,plain,
    ( ~ spl79_8
    | spl79_1
    | spl79_310
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8814,f6451,f8881,f3048,f3083]) ).

fof(f3048,plain,
    ( spl79_1
  <=> v_b____ = v_c____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_1])]) ).

fof(f8881,plain,
    ( spl79_310
  <=> ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_c____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK7(v_P_H____,X0,X1,v_c____,v_b____,X2)))
        | v_b____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P_H____,X0,X1,v_c____,v_b____,X2)))
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_310])]) ).

fof(f8814,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = v_c____
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P_H____,X0,X1,v_c____,v_b____,X2)))
        | v_b____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK7(v_P_H____,X0,X1,v_c____,v_b____,X2)))
        | v_c____ = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2)) )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2139]) ).

fof(f8879,plain,
    ( spl79_309
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8826,f6451,f8876]) ).

fof(f8876,plain,
    ( spl79_309
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_309])]) ).

fof(f8826,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____)
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f3352]) ).

fof(f8874,plain,
    ( spl79_1
    | ~ spl79_8
    | spl79_308
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8817,f6451,f8872,f3083,f3048]) ).

fof(f8872,plain,
    ( spl79_308
  <=> ! [X9,X11,X10] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK7(X11,v_c____,v_b____,X9,X10,v_P_H____)))
        | X9 = X10
        | v_b____ = X9
        | v_c____ = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_c____,v_b____,X9,X10,v_P_H____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_308])]) ).

fof(f8817,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK7(X11,v_c____,v_b____,X9,X10,v_P_H____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_c____,v_b____,X9,X10,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | v_c____ = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X9
        | v_b____ = v_c____
        | X9 = X10 )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2142]) ).

fof(f8870,plain,
    ( ~ spl79_8
    | spl79_1
    | spl79_307
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8818,f6451,f8868,f3048,f3083]) ).

fof(f8868,plain,
    ( spl79_307
  <=> ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X12))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X12,sK62(v_c____,X12,v_P_H____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_c____,X12,v_P_H____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_307])]) ).

fof(f8818,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X12))
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_c____,X12,v_P_H____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X12,sK62(v_c____,X12,v_P_H____,v_b____))) )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2680]) ).

fof(f8866,plain,
    ( ~ spl79_8
    | spl79_1
    | spl79_306
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8822,f6451,f8864,f3048,f3083]) ).

fof(f8864,plain,
    ( spl79_306
  <=> ! [X18,X16,X17] :
        ( X16 = X17
        | v_c____ = X17
        | v_b____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_b____,X16,X18,X17,v_P_H____,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK64(v_b____,X16,X18,X17,v_P_H____,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_306])]) ).

fof(f8822,plain,
    ( ! [X18,X16,X17] :
        ( X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | v_b____ = v_c____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK64(v_b____,X16,X18,X17,v_P_H____,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_b____,X16,X18,X17,v_P_H____,v_c____)))
        | v_b____ = X16
        | v_c____ = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2705]) ).

fof(f8862,plain,
    ( ~ spl79_8
    | spl79_1
    | spl79_305
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8820,f6451,f8860,f3048,f3083]) ).

fof(f8860,plain,
    ( spl79_305
  <=> ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_c____,X14,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X14))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X14,sK62(v_c____,X14,v_P_H____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_305])]) ).

fof(f8820,plain,
    ( ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_c____,X14,v_P_H____,v_b____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X14,sK62(v_c____,X14,v_P_H____,v_b____)))
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X14))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2682]) ).

fof(f8858,plain,
    ( spl79_304
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8827,f6451,f8855]) ).

fof(f8855,plain,
    ( spl79_304
  <=> hAPP(v_F,v_P_H____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_304])]) ).

fof(f8827,plain,
    ( hAPP(v_F,v_P_H____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P_H____))
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2728]) ).

fof(f8853,plain,
    ( spl79_1
    | ~ spl79_8
    | spl79_303
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8823,f6451,f8851,f3083,f3048]) ).

fof(f8851,plain,
    ( spl79_303
  <=> ! [X20,X21,X19] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK64(v_b____,X21,X20,X19,v_P_H____,v_c____)))
        | X19 = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_b____,X21,X20,X19,v_P_H____,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X21
        | v_c____ = X19
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_303])]) ).

fof(f8823,plain,
    ( ! [X21,X19,X20] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK64(v_b____,X21,X20,X19,v_P_H____,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | v_c____ = X19
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_b____,X21,X20,X19,v_P_H____,v_c____)))
        | X19 = X21
        | v_b____ = v_c____ )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2706]) ).

fof(f8849,plain,
    ( spl79_1
    | ~ spl79_8
    | spl79_302
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8821,f6451,f8847,f3083,f3048]) ).

fof(f8847,plain,
    ( spl79_302
  <=> ! [X15] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,X15,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X15,sK62(v_b____,v_P_H____,X15,v_c____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_302])]) ).

fof(f8821,plain,
    ( ! [X15] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X15,sK62(v_b____,v_P_H____,X15,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,X15,v_c____)))
        | v_b____ = v_c____ )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2683]) ).

fof(f8845,plain,
    ( spl79_301
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8825,f6451,f8842]) ).

fof(f8842,plain,
    ( spl79_301
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_301])]) ).

fof(f8825,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2441]) ).

fof(f8840,plain,
    ( spl79_1
    | ~ spl79_8
    | spl79_300
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8819,f6451,f8838,f3083,f3048]) ).

fof(f8838,plain,
    ( spl79_300
  <=> ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X13,sK62(v_b____,v_P_H____,X13,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,X13,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_300])]) ).

fof(f8819,plain,
    ( ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X13,sK62(v_b____,v_P_H____,X13,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X13))
        | v_b____ = v_c____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,X13,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2681]) ).

fof(f8836,plain,
    ( spl79_1
    | spl79_299
    | ~ spl79_8
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8815,f6451,f3083,f8834,f3048]) ).

fof(f8834,plain,
    ( spl79_299
  <=> ! [X4,X5,X3] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK7(X5,v_c____,v_b____,X3,X4,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | v_c____ = X4
        | X3 = X4
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_c____,v_b____,X3,X4,v_P_H____)))
        | v_b____ = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_299])]) ).

fof(f8815,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK7(X5,v_c____,v_b____,X3,X4,v_P_H____)))
        | v_b____ = X3
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_c____,v_b____,X3,X4,v_P_H____)))
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | X3 = X4
        | v_c____ = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5)) )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2140]) ).

fof(f8832,plain,
    ( ~ spl79_8
    | spl79_1
    | spl79_298
    | ~ spl79_160 ),
    inference(avatar_split_clause,[],[f8816,f6451,f8830,f3048,f3083]) ).

fof(f8830,plain,
    ( spl79_298
  <=> ! [X6,X8,X7] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK7(v_P_H____,X6,X7,v_c____,v_b____,X8)))
        | v_c____ = X7
        | v_b____ = X6
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P_H____,X6,X7,v_c____,v_b____,X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | X6 = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_298])]) ).

fof(f8816,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK7(v_P_H____,X6,X7,v_c____,v_b____,X8)))
        | X6 = X7
        | v_b____ = v_c____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P_H____,X6,X7,v_c____,v_b____,X8)))
        | v_b____ = X6
        | v_c____ = X7
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_160 ),
    inference(resolution,[],[f6453,f2141]) ).

fof(f8650,plain,
    ( ~ spl79_297
    | ~ spl79_248
    | spl79_295 ),
    inference(avatar_split_clause,[],[f8645,f8605,f7926,f8647]) ).

fof(f8647,plain,
    ( spl79_297
  <=> hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_297])]) ).

fof(f8605,plain,
    ( spl79_295
  <=> hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_295])]) ).

fof(f8645,plain,
    ( hAPP(v_F,v_P____) != c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_248
    | spl79_295 ),
    inference(forward_demodulation,[],[f8606,f7928]) ).

fof(f8606,plain,
    ( hAPP(v_F,v_P____) != c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | spl79_295 ),
    inference(avatar_component_clause,[],[f8605]) ).

fof(f8644,plain,
    ( spl79_225
    | spl79_231
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8156,f3483,f7748,f7723]) ).

fof(f7748,plain,
    ( spl79_231
  <=> ! [X57] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X57))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK35(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X57,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_231])]) ).

fof(f8156,plain,
    ( ! [X57] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X57))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK35(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X57,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),X57)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2369,f3485]) ).

fof(f8643,plain,
    ( spl79_225
    | spl79_235
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8136,f3483,f7764,f7723]) ).

fof(f7764,plain,
    ( spl79_235
  <=> ! [X10,X11,X9,X8] :
        ( X9 = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X8,sK7(X8,X9,X10,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X11)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X10
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X9
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X8,X9,X10,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X11)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_235])]) ).

fof(f8136,plain,
    ( ! [X10,X11,X8,X9] :
        ( X9 = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X8,sK7(X8,X9,X10,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X11)))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X8,X9,X10,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X11)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X8))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X9 )
    | ~ spl79_57 ),
    inference(superposition,[],[f2141,f3485]) ).

fof(f8642,plain,
    ( spl79_225
    | spl79_229
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8141,f3483,f7740,f7723]) ).

fof(f7740,plain,
    ( spl79_229
  <=> ! [X22,X23] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X23))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X23,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X22,X23,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X22))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X23,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X22,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X22,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X22,X23,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_229])]) ).

fof(f8141,plain,
    ( ! [X22,X23] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X23,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X23))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X22))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X22,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X22,X23,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X23,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X22,X23,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X22,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2683,f3485]) ).

fof(f8641,plain,
    ( ~ spl79_106
    | ~ spl79_248
    | spl79_294 ),
    inference(avatar_split_clause,[],[f8640,f8599,f7926,f4244]) ).

fof(f8599,plain,
    ( spl79_294
  <=> hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_294])]) ).

fof(f8640,plain,
    ( ~ hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_248
    | spl79_294 ),
    inference(forward_demodulation,[],[f8600,f7928]) ).

fof(f8600,plain,
    ( ~ hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
    | spl79_294 ),
    inference(avatar_component_clause,[],[f8599]) ).

fof(f8639,plain,
    ( spl79_238
    | spl79_225
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8134,f3483,f7723,f7776]) ).

fof(f7776,plain,
    ( spl79_238
  <=> ! [X0,X3,X2,X1] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X3))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X2
        | X1 = X2
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK7(X0,X1,X2,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X3,sK7(X0,X1,X2,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_238])]) ).

fof(f8134,plain,
    ( ! [X2,X3,X0,X1] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | X1 = X2
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X3))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X2
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X3,sK7(X0,X1,X2,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK7(X0,X1,X2,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X1 )
    | ~ spl79_57 ),
    inference(superposition,[],[f2139,f3485]) ).

fof(f8638,plain,
    ( spl79_225
    | spl79_237
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8138,f3483,f7772,f7723]) ).

fof(f7772,plain,
    ( spl79_237
  <=> ! [X16,X17] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X16))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X17,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X17,X16,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X16,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X17,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X17))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X16,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X17,X16,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_237])]) ).

fof(f8138,plain,
    ( ! [X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X17,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X17,X16,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X16))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X17))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X16,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X17,X16,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X16,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X17,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2680,f3485]) ).

fof(f8637,plain,
    ( ~ spl79_85
    | ~ spl79_248
    | spl79_249 ),
    inference(avatar_split_clause,[],[f8636,f7931,f7926,f4077]) ).

fof(f7931,plain,
    ( spl79_249
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_249])]) ).

fof(f8636,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_248
    | spl79_249 ),
    inference(forward_demodulation,[],[f7932,f7928]) ).

fof(f7932,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | spl79_249 ),
    inference(avatar_component_clause,[],[f7931]) ).

fof(f8635,plain,
    ( spl79_225
    | spl79_233
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8142,f3483,f7756,f7723]) ).

fof(f7756,plain,
    ( spl79_233
  <=> ! [X24,X27,X25,X26] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X25,X26),hAPP(X27,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X25,X27,X26,X24,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X25
        | X25 = X26
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X24))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X24,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X24,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X25,X27,X26,X24,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X25,X26),hAPP(v_F,X27))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X26
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X27,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_233])]) ).

fof(f8142,plain,
    ( ! [X26,X27,X24,X25] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X25
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X26
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X25,X26),hAPP(v_F,X27))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X24,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X24,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X25,X27,X26,X24,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X27,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X24))
        | X25 = X26
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X25,X26),hAPP(X27,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X25,X27,X26,X24,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2705,f3485]) ).

fof(f8634,plain,
    ( spl79_225
    | spl79_240
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8155,f3483,f7784,f7723]) ).

fof(f7784,plain,
    ( spl79_240
  <=> ! [X56] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X56))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK35(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X56,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt)),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X56)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_240])]) ).

fof(f8155,plain,
    ( ! [X56] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK35(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X56,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt)),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X56))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X56)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2368,f3485]) ).

fof(f8633,plain,
    ( spl79_234
    | spl79_225
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8143,f3483,f7723,f7760]) ).

fof(f7760,plain,
    ( spl79_234
  <=> ! [X31,X29,X28,X30] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X31,X29),hAPP(X30,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X31,X30,X29,X28,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | X29 = X31
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X28,c_Arrow__Order__Mirabelle_OProf)
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X29
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X28,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X31,X30,X29,X28,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X31,X29),hAPP(v_F,X30))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X31
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X28))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X30,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_234])]) ).

fof(f8143,plain,
    ( ! [X31,X28,X29,X30] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | X29 = X31
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X29
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X28,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X31,X30,X29,X28,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X30,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X31,X29),hAPP(v_F,X30))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X31,X29),hAPP(X30,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X31,X30,X29,X28,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X31
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X28,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X28)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2706,f3485]) ).

fof(f8632,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f5153,f3169,f3743]) ).

fof(f8631,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3793,f3169,f3743]) ).

fof(f3793,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_24 ),
    inference(resolution,[],[f3170,f2567]) ).

fof(f8629,plain,
    ( spl79_296
    | ~ spl79_225
    | ~ spl79_248
    | ~ spl79_270 ),
    inference(avatar_split_clause,[],[f8624,f8328,f7926,f7723,f8626]) ).

fof(f8622,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f7968,f6607,f3743]) ).

fof(f7968,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_168 ),
    inference(resolution,[],[f7673,f2567]) ).

fof(f8621,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f4732,f3169,f3743]) ).

fof(f4732,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_24 ),
    inference(resolution,[],[f3170,f2567]) ).

fof(f8619,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3730,f3362,f3748]) ).

fof(f8618,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f7413,f6607,f3743]) ).

fof(f7413,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_168 ),
    inference(superposition,[],[f3022,f6609]) ).

fof(f8617,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f6703,f3169,f3743]) ).

fof(f8613,plain,
    ( spl79_256
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8077,f6878,f8111]) ).

fof(f6878,plain,
    ( spl79_177
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_177])]) ).

fof(f8077,plain,
    ( hBOOL(hAPP(c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_177 ),
    inference(resolution,[],[f6879,f2567]) ).

fof(f6879,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_177 ),
    inference(avatar_component_clause,[],[f6878]) ).

fof(f8612,plain,
    ( spl79_249
    | ~ spl79_58
    | ~ spl79_225 ),
    inference(avatar_split_clause,[],[f8611,f7723,f3488,f7931]) ).

fof(f8611,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_58
    | ~ spl79_225 ),
    inference(forward_demodulation,[],[f3490,f7725]) ).

fof(f8610,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3729,f3169,f3743]) ).

fof(f8609,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f8193,f6607,f3743]) ).

fof(f8608,plain,
    ( spl79_295
    | ~ spl79_225
    | ~ spl79_275 ),
    inference(avatar_split_clause,[],[f8597,f8355,f7723,f8605]) ).

fof(f8355,plain,
    ( spl79_275
  <=> hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_275])]) ).

fof(f8597,plain,
    ( hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_225
    | ~ spl79_275 ),
    inference(backward_demodulation,[],[f8357,f7725]) ).

fof(f8357,plain,
    ( hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_275 ),
    inference(avatar_component_clause,[],[f8355]) ).

fof(f8603,plain,
    ( spl79_248
    | ~ spl79_57
    | ~ spl79_225 ),
    inference(avatar_split_clause,[],[f8569,f7723,f3483,f7926]) ).

fof(f8569,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_57
    | ~ spl79_225 ),
    inference(backward_demodulation,[],[f3485,f7725]) ).

fof(f8602,plain,
    ( spl79_294
    | ~ spl79_225
    | ~ spl79_272 ),
    inference(avatar_split_clause,[],[f8596,f8339,f7723,f8599]) ).

fof(f8568,plain,
    ( spl79_225
    | spl79_241
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8158,f3483,f7788,f7723]) ).

fof(f7788,plain,
    ( spl79_241
  <=> ! [X60] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt,X60),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X60))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X60)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_241])]) ).

fof(f8158,plain,
    ( ! [X60] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt,X60),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X60))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X60))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2426,f3485]) ).

fof(f8567,plain,
    ( spl79_230
    | spl79_225
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8139,f3483,f7723,f7744]) ).

fof(f7744,plain,
    ( spl79_230
  <=> ! [X18,X19] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X19,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X19))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X18))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X19,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X18,X19,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X18,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X18,X19,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_230])]) ).

fof(f8139,plain,
    ( ! [X18,X19] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X18,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X18,X19,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X19,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X18,X19,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X19,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X18))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X19)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2681,f3485]) ).

fof(f8566,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6836,f3362,f3748]) ).

fof(f8565,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4270,f3362,f3169]) ).

fof(f4270,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f4266,f2510]) ).

fof(f4266,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f8564,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3802,f3362,f3748]) ).

fof(f8563,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4269,f3362,f3748]) ).

fof(f8562,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f3855,f3748,f3169]) ).

fof(f3855,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_73 ),
    inference(resolution,[],[f3854,f2292]) ).

fof(f3854,plain,
    ( ! [X0] : c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_73 ),
    inference(resolution,[],[f3750,f2566]) ).

fof(f3750,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_73 ),
    inference(avatar_component_clause,[],[f3748]) ).

fof(f8561,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f8007,f3748,f3169]) ).

fof(f8007,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_73 ),
    inference(forward_demodulation,[],[f8001,f2510]) ).

fof(f8001,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_73 ),
    inference(resolution,[],[f3854,f2441]) ).

fof(f8560,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f5160,f3362,f3748]) ).

fof(f5160,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2567]) ).

fof(f8559,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3798,f3362,f3169]) ).

fof(f3798,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f8558,plain,
    ( spl79_225
    | spl79_226
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8140,f3483,f7727,f7723]) ).

fof(f7727,plain,
    ( spl79_226
  <=> ! [X20,X21] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X20))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X21,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X20,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X21))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X21,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_226])]) ).

fof(f8140,plain,
    ( ! [X21,X20] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X21,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X20))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X20,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X21,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X21)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2682,f3485]) ).

fof(f8557,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f7639,f3748,f3169]) ).

fof(f7639,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_73 ),
    inference(resolution,[],[f3854,f2292]) ).

fof(f8556,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3803,f3362,f3169]) ).

fof(f3803,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f3799,f2510]) ).

fof(f3799,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f8555,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f7671,f6607,f3743]) ).

fof(f7671,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_168 ),
    inference(superposition,[],[f3022,f6609]) ).

fof(f8554,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f7266,f3748,f3169]) ).

fof(f7266,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_73 ),
    inference(resolution,[],[f3854,f2292]) ).

fof(f8553,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f8039,f6607,f3743]) ).

fof(f8552,plain,
    ( spl79_272
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8318,f3488,f8339]) ).

fof(f8551,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f6847,f3748,f3169]) ).

fof(f6847,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_73 ),
    inference(resolution,[],[f3854,f2292]) ).

fof(f8550,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f7977,f3362,f3748]) ).

fof(f7977,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2567]) ).

fof(f8549,plain,
    ( spl79_225
    | spl79_232
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8137,f3483,f7752,f7723]) ).

fof(f7752,plain,
    ( spl79_232
  <=> ! [X13,X14,X12,X15] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X12,sK7(X15,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X13,X14,X12)))
        | X13 = X14
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),hAPP(X15,sK7(X15,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X13,X14,X12)))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X14
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),hAPP(v_F,X15))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X12))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X13
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_232])]) ).

fof(f8137,plain,
    ( ! [X14,X15,X12,X13] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X13
        | X13 = X14
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),hAPP(X15,sK7(X15,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X13,X14,X12)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X12,sK7(X15,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X13,X14,X12)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X12))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X14
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),hAPP(v_F,X15)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2142,f3485]) ).

fof(f8548,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6711,f3362,f3748]) ).

fof(f6711,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2567]) ).

fof(f8547,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6840,f3362,f3169]) ).

fof(f6840,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f6831,f2510]) ).

fof(f6831,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f8546,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3672,f3362,f3169]) ).

fof(f3672,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f8545,plain,
    ( spl79_225
    | spl79_239
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f8159,f3483,f7780,f7723]) ).

fof(f7780,plain,
    ( spl79_239
  <=> ! [X61] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X61))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK43(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt,X61)),X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_239])]) ).

fof(f8159,plain,
    ( ! [X61] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X61))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK43(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt,X61)),X61) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2427,f3485]) ).

fof(f8544,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f7970,f3362,f3169]) ).

fof(f7970,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f8543,plain,
    ( spl79_106
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4922,f4077,f4244]) ).

fof(f4922,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2567]) ).

fof(f4079,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_85 ),
    inference(avatar_component_clause,[],[f4077]) ).

fof(f8541,plain,
    ( spl79_293
    | spl79_185
    | ~ spl79_60 ),
    inference(avatar_split_clause,[],[f8533,f3514,f7046,f8539]) ).

fof(f8539,plain,
    ( spl79_293
  <=> ! [X13,X12] :
        ( v_c____ = X12
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(v_P_H____,X12,X13,v_b____,v_c____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | X12 = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_b____ = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(v_P_H____,X12,X13,v_b____,v_c____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_293])]) ).

fof(f3514,plain,
    ( spl79_60
  <=> ! [X4,X5,X3] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(v_P_H____,X3,X4,v_b____,v_c____,X5)))
        | X3 = X4
        | v_c____ = X3
        | v_b____ = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(v_P_H____,X3,X4,v_b____,v_c____,X5))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_60])]) ).

fof(f8533,plain,
    ( ! [X12,X13] :
        ( c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | v_c____ = X12
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(v_P_H____,X12,X13,v_b____,v_c____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | v_b____ = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X13),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | X12 = X13
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(v_P_H____,X12,X13,v_b____,v_c____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))) )
    | ~ spl79_60 ),
    inference(resolution,[],[f3515,f2213]) ).

fof(f3515,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(v_P_H____,X3,X4,v_b____,v_c____,X5)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(v_P_H____,X3,X4,v_b____,v_c____,X5)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | v_c____ = X3
        | v_b____ = X4
        | X3 = X4 )
    | ~ spl79_60 ),
    inference(avatar_component_clause,[],[f3514]) ).

fof(f8537,plain,
    ( spl79_185
    | spl79_292
    | ~ spl79_60 ),
    inference(avatar_split_clause,[],[f8532,f3514,f8535,f7046]) ).

fof(f8535,plain,
    ( spl79_292
  <=> ! [X11,X10] :
        ( X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(v_P_H____,X10,X11,v_b____,v_c____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(v_P_H____,X10,X11,v_b____,v_c____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | v_c____ = X10
        | v_b____ = X11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_292])]) ).

fof(f8532,plain,
    ( ! [X10,X11] :
        ( X10 = X11
        | v_b____ = X11
        | v_c____ = X10
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(v_P_H____,X10,X11,v_b____,v_c____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(v_P_H____,X10,X11,v_b____,v_c____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) )
    | ~ spl79_60 ),
    inference(resolution,[],[f3515,f2159]) ).

fof(f8525,plain,
    ( spl79_217
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7577,f6442,f7605]) ).

fof(f7605,plain,
    ( spl79_217
  <=> hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_217])]) ).

fof(f6442,plain,
    ( spl79_158
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_158])]) ).

fof(f7577,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____)))
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2567]) ).

fof(f6444,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_158 ),
    inference(avatar_component_clause,[],[f6442]) ).

fof(f8524,plain,
    ( spl79_290
    | spl79_158
    | spl79_291
    | ~ spl79_48
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f8492,f3733,f3410,f8519,f6442,f8515]) ).

fof(f8515,plain,
    ( spl79_290
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_c____,v_P_H____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_290])]) ).

fof(f8519,plain,
    ( spl79_291
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_291])]) ).

fof(f3410,plain,
    ( spl79_48
  <=> ! [X0] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_c____,v_P_H____,X0,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,X0,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_48])]) ).

fof(f8492,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_c____,v_P_H____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_48
    | ~ spl79_70 ),
    inference(resolution,[],[f3411,f3757]) ).

fof(f3411,plain,
    ( ! [X0] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,X0,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_c____,v_P_H____,X0,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0)) )
    | ~ spl79_48 ),
    inference(avatar_component_clause,[],[f3410]) ).

fof(f8523,plain,
    ( spl79_288
    | spl79_160
    | spl79_289
    | ~ spl79_8
    | ~ spl79_48 ),
    inference(avatar_split_clause,[],[f8491,f3410,f3083,f8510,f6451,f8506]) ).

fof(f8506,plain,
    ( spl79_288
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,v_P_H____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_288])]) ).

fof(f8510,plain,
    ( spl79_289
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,v_P_H____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_289])]) ).

fof(f8491,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,v_P_H____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,v_P_H____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P_H____))
    | ~ spl79_8
    | ~ spl79_48 ),
    inference(resolution,[],[f3411,f3085]) ).

fof(f8522,plain,
    ( spl79_290
    | spl79_291
    | spl79_158
    | ~ spl79_30
    | ~ spl79_48 ),
    inference(avatar_split_clause,[],[f8489,f3410,f3201,f6442,f8519,f8515]) ).

fof(f8489,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_c____,v_P_H____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_30
    | ~ spl79_48 ),
    inference(resolution,[],[f3411,f3203]) ).

fof(f8513,plain,
    ( spl79_160
    | spl79_288
    | spl79_289
    | ~ spl79_48
    | ~ spl79_71 ),
    inference(avatar_split_clause,[],[f8493,f3738,f3410,f8510,f8506,f6451]) ).

fof(f8493,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,v_P_H____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,v_P_H____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P_H____))
    | ~ spl79_48
    | ~ spl79_71 ),
    inference(resolution,[],[f3411,f3794]) ).

fof(f8504,plain,
    ( spl79_286
    | spl79_246
    | spl79_287
    | spl79_185
    | ~ spl79_48 ),
    inference(avatar_split_clause,[],[f8495,f3410,f7046,f8501,f7893,f8497]) ).

fof(f8497,plain,
    ( spl79_286
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_286])]) ).

fof(f7893,plain,
    ( spl79_246
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_246])]) ).

fof(f8501,plain,
    ( spl79_287
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_c____,v_P_H____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_287])]) ).

fof(f8495,plain,
    ( c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_c____,v_P_H____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_b____)))
    | ~ spl79_48 ),
    inference(resolution,[],[f3411,f2213]) ).

fof(f8488,plain,
    ( spl79_285
    | ~ spl79_115 ),
    inference(avatar_split_clause,[],[f8461,f4303,f8485]) ).

fof(f8485,plain,
    ( spl79_285
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_285])]) ).

fof(f4303,plain,
    ( spl79_115
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_115])]) ).

fof(f8461,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))))
    | ~ spl79_115 ),
    inference(resolution,[],[f4305,f3352]) ).

fof(f4305,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | ~ spl79_115 ),
    inference(avatar_component_clause,[],[f4303]) ).

fof(f8483,plain,
    ( spl79_284
    | ~ spl79_115 ),
    inference(avatar_split_clause,[],[f8460,f4303,f8480]) ).

fof(f8480,plain,
    ( spl79_284
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_284])]) ).

fof(f8460,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____))))
    | ~ spl79_115 ),
    inference(resolution,[],[f4305,f2441]) ).

fof(f8478,plain,
    ( spl79_283
    | ~ spl79_115 ),
    inference(avatar_split_clause,[],[f8458,f4303,f8475]) ).

fof(f8475,plain,
    ( spl79_283
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_283])]) ).

fof(f8458,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | ~ spl79_115 ),
    inference(resolution,[],[f4305,f2232]) ).

fof(f8473,plain,
    ( spl79_282
    | ~ spl79_115 ),
    inference(avatar_split_clause,[],[f8463,f4303,f8470]) ).

fof(f8470,plain,
    ( spl79_282
  <=> hBOOL(hAPP(hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_282])]) ).

fof(f8463,plain,
    ( hBOOL(hAPP(hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_115 ),
    inference(resolution,[],[f4305,f2567]) ).

fof(f8468,plain,
    ( spl79_281
    | ~ spl79_115 ),
    inference(avatar_split_clause,[],[f8462,f4303,f8465]) ).

fof(f8465,plain,
    ( spl79_281
  <=> hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_281])]) ).

fof(f8462,plain,
    ( hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | ~ spl79_115 ),
    inference(resolution,[],[f4305,f2728]) ).

fof(f8386,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3928,f3341,f3100]) ).

fof(f8385,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3913,f3341,f3100]) ).

fof(f8384,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7423,f3341,f3100]) ).

fof(f7423,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2292]) ).

fof(f8383,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7431,f3341,f3100]) ).

fof(f7431,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(forward_demodulation,[],[f7425,f2510]) ).

fof(f7425,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2441]) ).

fof(f8382,plain,
    ( spl79_225
    | ~ spl79_30
    | spl79_280
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8378,f3488,f3483,f8380,f3201,f7723]) ).

fof(f8380,plain,
    ( spl79_280
  <=> ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X12))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X12,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_280])]) ).

fof(f8378,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X12,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X12)) )
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f8377,f3485]) ).

fof(f8377,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X12))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X12,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) )
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f8308,f3485]) ).

fof(f8308,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X12,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X12,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X12))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2680]) ).

fof(f8376,plain,
    ( spl79_225
    | ~ spl79_30
    | spl79_279
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8307,f3488,f8374,f3201,f7723]) ).

fof(f8374,plain,
    ( spl79_279
  <=> ! [X9,X11,X10] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X9
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X9,X10,v_P____)))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X10
        | X9 = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(X11,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X9,X10,v_P____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_279])]) ).

fof(f8307,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(X11,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X9,X10,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | X9 = X10
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X9,X10,v_P____)))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X9 )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2142]) ).

fof(f8372,plain,
    ( ~ spl79_30
    | spl79_278
    | spl79_225
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8368,f3488,f3483,f7723,f8370,f3201]) ).

fof(f8370,plain,
    ( spl79_278
  <=> ! [X15] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X15,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_278])]) ).

fof(f8368,plain,
    ( ! [X15] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X15,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X15))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f8367,f3485]) ).

fof(f8367,plain,
    ( ! [X15] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X15,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f8311,f3485]) ).

fof(f8311,plain,
    ( ! [X15] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X15))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X15,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X15,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2683]) ).

fof(f8366,plain,
    ( ~ spl79_30
    | spl79_225
    | spl79_277
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8304,f3488,f8364,f7723,f3201]) ).

fof(f8364,plain,
    ( spl79_277
  <=> ! [X2,X0,X1] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(v_P____,X0,X1,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X2)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_277])]) ).

fof(f8304,plain,
    ( ! [X2,X0,X1] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X1
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X0
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X2)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(v_P____,X0,X1,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X2))) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2139]) ).

fof(f8362,plain,
    ( ~ spl79_30
    | spl79_225
    | spl79_276
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8306,f3488,f8360,f7723,f3201]) ).

fof(f8360,plain,
    ( spl79_276
  <=> ! [X6,X8,X7] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(v_P____,X6,X7,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X8)))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X6
        | X6 = X7
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_276])]) ).

fof(f8306,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X8)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | X6 = X7
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X6
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(v_P____,X6,X7,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X7 )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2141]) ).

fof(f8358,plain,
    ( spl79_275
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8317,f3488,f8355]) ).

fof(f8317,plain,
    ( hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2728]) ).

fof(f8352,plain,
    ( ~ spl79_30
    | spl79_225
    | spl79_274
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8348,f3488,f3483,f8350,f7723,f3201]) ).

fof(f8350,plain,
    ( spl79_274
  <=> ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X13,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_274])]) ).

fof(f8348,plain,
    ( ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X13,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X13))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f8347,f3485]) ).

fof(f8347,plain,
    ( ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X13))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X13,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f8309,f3485]) ).

fof(f8309,plain,
    ( ! [X13] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X13))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X13,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_P____,X13,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2681]) ).

fof(f8346,plain,
    ( ~ spl79_30
    | spl79_225
    | spl79_273
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8312,f3488,f8344,f7723,f3201]) ).

fof(f8344,plain,
    ( spl79_273
  <=> ! [X18,X16,X17] :
        ( sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X16
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X17
        | X16 = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK64(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X16,X18,X17,v_P____,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X16,X18,X17,v_P____,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_273])]) ).

fof(f8312,plain,
    ( ! [X18,X16,X17] :
        ( sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X16
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X16,X18,X17,v_P____,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK64(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X16,X18,X17,v_P____,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | X16 = X17
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X17 )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2705]) ).

fof(f8342,plain,
    ( spl79_272
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8318,f3488,f8339]) ).

fof(f8337,plain,
    ( spl79_225
    | ~ spl79_30
    | spl79_271
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8333,f3488,f3483,f8335,f3201,f7723]) ).

fof(f8335,plain,
    ( spl79_271
  <=> ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X14))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X14,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_271])]) ).

fof(f8333,plain,
    ( ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X14,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X14))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f8332,f3485]) ).

fof(f8332,plain,
    ( ! [X14] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X14,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X14))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) )
    | ~ spl79_57
    | ~ spl79_58 ),
    inference(forward_demodulation,[],[f8310,f3485]) ).

fof(f8310,plain,
    ( ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X14,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X14,v_P____,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X14)) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2682]) ).

fof(f8331,plain,
    ( spl79_270
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8316,f3488,f8328]) ).

fof(f8316,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f3352]) ).

fof(f8326,plain,
    ( ~ spl79_30
    | spl79_225
    | spl79_269
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8313,f3488,f8324,f7723,f3201]) ).

fof(f8324,plain,
    ( spl79_269
  <=> ! [X20,X21,X19] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X19
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X21
        | X19 = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,X19,v_P____,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK64(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,X19,v_P____,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_269])]) ).

fof(f8313,plain,
    ( ! [X21,X19,X20] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK64(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,X19,v_P____,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,X19,v_P____,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | X19 = X21
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X21
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X19
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2706]) ).

fof(f8322,plain,
    ( ~ spl79_30
    | spl79_225
    | spl79_268
    | ~ spl79_58 ),
    inference(avatar_split_clause,[],[f8305,f3488,f8320,f7723,f3201]) ).

fof(f8320,plain,
    ( spl79_268
  <=> ! [X4,X5,X3] :
        ( X3 = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(X5,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3,X4,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3,X4,v_P____)))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X4
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X3
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_268])]) ).

fof(f8305,plain,
    ( ! [X3,X4,X5] :
        ( X3 = X4
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X3
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3,X4,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_P____,sK7(X5,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3,X4,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_58 ),
    inference(resolution,[],[f3490,f2140]) ).

fof(f8264,plain,
    ( spl79_267
    | ~ spl79_113 ),
    inference(avatar_split_clause,[],[f8237,f4293,f8261]) ).

fof(f8261,plain,
    ( spl79_267
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_267])]) ).

fof(f4293,plain,
    ( spl79_113
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_113])]) ).

fof(f8237,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)))))
    | ~ spl79_113 ),
    inference(resolution,[],[f4295,f3352]) ).

fof(f4295,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)))
    | ~ spl79_113 ),
    inference(avatar_component_clause,[],[f4293]) ).

fof(f8259,plain,
    ( spl79_266
    | ~ spl79_113 ),
    inference(avatar_split_clause,[],[f8236,f4293,f8256]) ).

fof(f8256,plain,
    ( spl79_266
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_266])]) ).

fof(f8236,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____))))
    | ~ spl79_113 ),
    inference(resolution,[],[f4295,f2441]) ).

fof(f8254,plain,
    ( spl79_265
    | ~ spl79_113 ),
    inference(avatar_split_clause,[],[f8239,f4293,f8251]) ).

fof(f8251,plain,
    ( spl79_265
  <=> hBOOL(hAPP(hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_265])]) ).

fof(f8239,plain,
    ( hBOOL(hAPP(hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_113 ),
    inference(resolution,[],[f4295,f2567]) ).

fof(f8249,plain,
    ( spl79_264
    | ~ spl79_113 ),
    inference(avatar_split_clause,[],[f8238,f4293,f8246]) ).

fof(f8246,plain,
    ( spl79_264
  <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____))) = hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_264])]) ).

fof(f8238,plain,
    ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____))) = hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____))
    | ~ spl79_113 ),
    inference(resolution,[],[f4295,f2728]) ).

fof(f8244,plain,
    ( spl79_263
    | ~ spl79_113 ),
    inference(avatar_split_clause,[],[f8234,f4293,f8241]) ).

fof(f8241,plain,
    ( spl79_263
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_263])]) ).

fof(f8234,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)))
    | ~ spl79_113 ),
    inference(resolution,[],[f4295,f2232]) ).

fof(f8227,plain,
    ( spl79_82
    | ~ spl79_120 ),
    inference(avatar_contradiction_clause,[],[f8226]) ).

fof(f8226,plain,
    ( $false
    | spl79_82
    | ~ spl79_120 ),
    inference(resolution,[],[f4064,f4999]) ).

fof(f4999,plain,
    ( ! [X0] : c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_120 ),
    inference(resolution,[],[f4545,f2566]) ).

fof(f4545,plain,
    ( hBOOL(hAPP(hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_120 ),
    inference(avatar_component_clause,[],[f4543]) ).

fof(f4543,plain,
    ( spl79_120
  <=> hBOOL(hAPP(hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_120])]) ).

fof(f4064,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | spl79_82 ),
    inference(avatar_component_clause,[],[f4063]) ).

fof(f4063,plain,
    ( spl79_82
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_82])]) ).

fof(f8224,plain,
    ( spl79_262
    | ~ spl79_112 ),
    inference(avatar_split_clause,[],[f8200,f4288,f8221]) ).

fof(f8221,plain,
    ( spl79_262
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_262])]) ).

fof(f4288,plain,
    ( spl79_112
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_112])]) ).

fof(f8200,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))))
    | ~ spl79_112 ),
    inference(resolution,[],[f4290,f3352]) ).

fof(f4290,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
    | ~ spl79_112 ),
    inference(avatar_component_clause,[],[f4288]) ).

fof(f8219,plain,
    ( spl79_261
    | ~ spl79_112 ),
    inference(avatar_split_clause,[],[f8197,f4288,f8216]) ).

fof(f8216,plain,
    ( spl79_261
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_261])]) ).

fof(f8197,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
    | ~ spl79_112 ),
    inference(resolution,[],[f4290,f2232]) ).

fof(f8213,plain,
    ( spl79_260
    | ~ spl79_112 ),
    inference(avatar_split_clause,[],[f8202,f4288,f8210]) ).

fof(f8210,plain,
    ( spl79_260
  <=> hBOOL(hAPP(hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_260])]) ).

fof(f8202,plain,
    ( hBOOL(hAPP(hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_112 ),
    inference(resolution,[],[f4290,f2567]) ).

fof(f8208,plain,
    ( spl79_111
    | ~ spl79_112 ),
    inference(avatar_split_clause,[],[f8199,f4288,f4284]) ).

fof(f4284,plain,
    ( spl79_111
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_111])]) ).

fof(f8199,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))))
    | ~ spl79_112 ),
    inference(resolution,[],[f4290,f2441]) ).

fof(f8207,plain,
    ( spl79_259
    | ~ spl79_112 ),
    inference(avatar_split_clause,[],[f8201,f4288,f8204]) ).

fof(f8204,plain,
    ( spl79_259
  <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))) = hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_259])]) ).

fof(f8201,plain,
    ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))) = hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))
    | ~ spl79_112 ),
    inference(resolution,[],[f4290,f2728]) ).

fof(f8125,plain,
    ( ~ spl79_85
    | spl79_177 ),
    inference(avatar_split_clause,[],[f6883,f6878,f4077]) ).

fof(f6883,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | spl79_177 ),
    inference(resolution,[],[f6880,f2676]) ).

fof(f2676,plain,
    ! [X2,X0,X1] :
      ( c_member(tc_prod(X0,X0),X1,c_Transitive__Closure_Ortrancl(X0,X2))
      | ~ c_member(tc_prod(X0,X0),X1,X2) ),
    inference(cnf_transformation,[],[f1441]) ).

fof(f1441,plain,
    ! [X0,X1,X2] :
      ( ~ c_member(tc_prod(X0,X0),X1,X2)
      | c_member(tc_prod(X0,X0),X1,c_Transitive__Closure_Ortrancl(X0,X2)) ),
    inference(ennf_transformation,[],[f815]) ).

fof(f815,plain,
    ! [X2,X1,X0] :
      ( c_member(tc_prod(X0,X0),X1,X2)
     => c_member(tc_prod(X0,X0),X1,c_Transitive__Closure_Ortrancl(X0,X2)) ),
    inference(rectify,[],[f78]) ).

fof(f78,axiom,
    ! [X8,X44,X4] :
      ( c_member(tc_prod(X8,X8),X44,X4)
     => c_member(tc_prod(X8,X8),X44,c_Transitive__Closure_Ortrancl(X8,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_r__into__rtrancl) ).

fof(f6880,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | spl79_177 ),
    inference(avatar_component_clause,[],[f6878]) ).

fof(f8124,plain,
    ( spl79_5
    | spl79_258
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8062,f6878,f8121,f3068]) ).

fof(f8121,plain,
    ( spl79_258
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK35(v_b____,hAPP(v_F,v_P____),v_a____,tc_Arrow__Order__Mirabelle_Oalt)),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_258])]) ).

fof(f8062,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK35(v_b____,hAPP(v_F,v_P____),v_a____,tc_Arrow__Order__Mirabelle_Oalt)),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | v_a____ = v_b____
    | ~ spl79_177 ),
    inference(resolution,[],[f6879,f2368]) ).

fof(f8119,plain,
    ( spl79_257
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8072,f6878,f8116]) ).

fof(f8116,plain,
    ( spl79_257
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_257])]) ).

fof(f8072,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))
    | ~ spl79_177 ),
    inference(resolution,[],[f6879,f2441]) ).

fof(f8114,plain,
    ( spl79_256
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8077,f6878,f8111]) ).

fof(f8109,plain,
    ( spl79_5
    | spl79_255
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8063,f6878,f8106,f3068]) ).

fof(f8106,plain,
    ( spl79_255
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK35(v_b____,hAPP(v_F,v_P____),v_a____,tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_255])]) ).

fof(f8063,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK35(v_b____,hAPP(v_F,v_P____),v_a____,tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(v_F,v_P____))
    | v_a____ = v_b____
    | ~ spl79_177 ),
    inference(resolution,[],[f6879,f2369]) ).

fof(f8104,plain,
    ( spl79_254
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8076,f6878,f8101]) ).

fof(f8101,plain,
    ( spl79_254
  <=> c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_254])]) ).

fof(f8076,plain,
    ( c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_177 ),
    inference(resolution,[],[f6879,f2728]) ).

fof(f8099,plain,
    ( spl79_253
    | spl79_5
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8069,f6878,f3068,f8096]) ).

fof(f8096,plain,
    ( spl79_253
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Relation_Orel__comp(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_253])]) ).

fof(f8069,plain,
    ( v_a____ = v_b____
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Relation_Orel__comp(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))
    | ~ spl79_177 ),
    inference(resolution,[],[f6879,f2875]) ).

fof(f8094,plain,
    ( spl79_252
    | spl79_5
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8065,f6878,f3068,f8091]) ).

fof(f8091,plain,
    ( spl79_252
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_252])]) ).

fof(f8065,plain,
    ( v_a____ = v_b____
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_177 ),
    inference(resolution,[],[f6879,f2426]) ).

fof(f8089,plain,
    ( spl79_251
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8073,f6878,f8086]) ).

fof(f8086,plain,
    ( spl79_251
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_251])]) ).

fof(f8073,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
    | ~ spl79_177 ),
    inference(resolution,[],[f6879,f3352]) ).

fof(f8082,plain,
    ( spl79_5
    | spl79_250
    | ~ spl79_177 ),
    inference(avatar_split_clause,[],[f8066,f6878,f8079,f3068]) ).

fof(f8066,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,sK43(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | v_a____ = v_b____
    | ~ spl79_177 ),
    inference(resolution,[],[f6879,f2427]) ).

fof(f7936,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f4732,f3169,f3743]) ).

fof(f7935,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f7413,f6607,f3743]) ).

fof(f7934,plain,
    ( spl79_249
    | ~ spl79_58
    | ~ spl79_225 ),
    inference(avatar_split_clause,[],[f7924,f7723,f3488,f7931]) ).

fof(f7929,plain,
    ( spl79_248
    | ~ spl79_57
    | ~ spl79_225 ),
    inference(avatar_split_clause,[],[f7923,f7723,f3483,f7926]) ).

fof(f7922,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3730,f3362,f3748]) ).

fof(f7921,plain,
    ( spl79_85
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5014,f4235,f4077]) ).

fof(f5014,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_104 ),
    inference(resolution,[],[f4237,f2292]) ).

fof(f7920,plain,
    ( spl79_140
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5019,f4235,f5033]) ).

fof(f7919,plain,
    ( spl79_85
    | ~ spl79_140 ),
    inference(avatar_split_clause,[],[f6057,f5033,f4077]) ).

fof(f6057,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_140 ),
    inference(forward_demodulation,[],[f6052,f2510]) ).

fof(f6052,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_140 ),
    inference(resolution,[],[f6050,f2441]) ).

fof(f6050,plain,
    ( ! [X0] : c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_140 ),
    inference(resolution,[],[f5035,f2566]) ).

fof(f5035,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_140 ),
    inference(avatar_component_clause,[],[f5033]) ).

fof(f7918,plain,
    ( spl79_106
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4213,f4077,f4244]) ).

fof(f4213,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2567]) ).

fof(f7917,plain,
    ( spl79_140
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f6236,f4235,f5033]) ).

fof(f7916,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f6703,f3169,f3743]) ).

fof(f7915,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f7671,f6607,f3743]) ).

fof(f7914,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6836,f3362,f3748]) ).

fof(f7913,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f5160,f3362,f3748]) ).

fof(f7912,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f5153,f3169,f3743]) ).

fof(f7911,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4269,f3362,f3748]) ).

fof(f7910,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6718,f3362,f3169]) ).

fof(f6718,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f6706,f2510]) ).

fof(f6706,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f7909,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3798,f3362,f3169]) ).

fof(f7908,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4265,f3362,f3169]) ).

fof(f4265,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f7907,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6704,f3362,f3169]) ).

fof(f6704,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f7906,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3793,f3169,f3743]) ).

fof(f7905,plain,
    ( spl79_85
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5031,f4235,f4077]) ).

fof(f5031,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_104 ),
    inference(forward_demodulation,[],[f5015,f2510]) ).

fof(f5015,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_104 ),
    inference(resolution,[],[f4237,f2441]) ).

fof(f7904,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3676,f3362,f3169]) ).

fof(f3676,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f3673,f2510]) ).

fof(f3673,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f7903,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3729,f3169,f3743]) ).

fof(f7902,plain,
    ( spl79_85
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f6230,f4235,f4077]) ).

fof(f6230,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_104 ),
    inference(resolution,[],[f4237,f2292]) ).

fof(f7901,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f5162,f3362,f3169]) ).

fof(f5162,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f5156,f2510]) ).

fof(f5156,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f7900,plain,
    ( spl79_245
    | spl79_246
    | spl79_185
    | spl79_247
    | ~ spl79_46 ),
    inference(avatar_split_clause,[],[f7874,f3396,f7897,f7046,f7893,f7889]) ).

fof(f7889,plain,
    ( spl79_245
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P_H____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_245])]) ).

fof(f7897,plain,
    ( spl79_247
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P_H____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_247])]) ).

fof(f3396,plain,
    ( spl79_46
  <=> ! [X0] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_b____,X0,v_P_H____,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,X0,v_P_H____,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_46])]) ).

fof(f7874,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P_H____,v_c____)))
    | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P_H____,v_c____)))
    | ~ spl79_46 ),
    inference(resolution,[],[f3397,f2213]) ).

fof(f3397,plain,
    ( ! [X0] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_b____,X0,v_P_H____,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,X0,v_P_H____,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0)) )
    | ~ spl79_46 ),
    inference(avatar_component_clause,[],[f3396]) ).

fof(f7887,plain,
    ( spl79_242
    | spl79_243
    | spl79_185
    | spl79_244
    | ~ spl79_46 ),
    inference(avatar_split_clause,[],[f7873,f3396,f7884,f7046,f7880,f7876]) ).

fof(f7876,plain,
    ( spl79_242
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P_H____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_242])]) ).

fof(f7880,plain,
    ( spl79_243
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P_H____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_243])]) ).

fof(f7884,plain,
    ( spl79_244
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_244])]) ).

fof(f7873,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P_H____,v_c____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P_H____,v_c____)))
    | ~ spl79_46 ),
    inference(resolution,[],[f3397,f2159]) ).

fof(f7803,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7163,f3341,f3100]) ).

fof(f7802,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3928,f3341,f3100]) ).

fof(f7801,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7431,f3341,f3100]) ).

fof(f7800,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4353,f3341,f3100]) ).

fof(f7799,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7147,f3341,f3100]) ).

fof(f7798,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3913,f3341,f3100]) ).

fof(f7797,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4781,f3341,f3100]) ).

fof(f4781,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(forward_demodulation,[],[f4775,f2510]) ).

fof(f4775,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2441]) ).

fof(f7796,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4348,f3341,f3100]) ).

fof(f7795,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5126,f3356,f3096]) ).

fof(f7794,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4774,f3341,f3100]) ).

fof(f7793,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f7443,f3356,f3096]) ).

fof(f7443,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(forward_demodulation,[],[f7437,f2510]) ).

fof(f7437,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2441]) ).

fof(f7792,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7423,f3341,f3100]) ).

fof(f7791,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5115,f3356,f3096]) ).

fof(f7790,plain,
    ( spl79_241
    | spl79_225
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7698,f3483,f7723,f7788]) ).

fof(f7698,plain,
    ( ! [X60] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt,X60),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X60))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X60)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2426,f3485]) ).

fof(f7786,plain,
    ( spl79_225
    | spl79_240
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7695,f3483,f7784,f7723]) ).

fof(f7695,plain,
    ( ! [X56] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X56))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK35(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X56,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt)),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X56)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2368,f3485]) ).

fof(f7782,plain,
    ( spl79_225
    | spl79_239
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7699,f3483,f7780,f7723]) ).

fof(f7699,plain,
    ( ! [X61] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X61))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK43(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt,X61)),X61) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2427,f3485]) ).

fof(f7778,plain,
    ( spl79_225
    | spl79_238
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7674,f3483,f7776,f7723]) ).

fof(f7674,plain,
    ( ! [X2,X3,X0,X1] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X3,sK7(X0,X1,X2,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK7(X0,X1,X2,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X3)))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | X1 = X2
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X2
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_F,X3)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2139,f3485]) ).

fof(f7774,plain,
    ( spl79_225
    | spl79_237
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7678,f3483,f7772,f7723]) ).

fof(f7678,plain,
    ( ! [X16,X17] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X16))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X16,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X17,X16,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X17))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X17,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X16,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X17,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X17,X16,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2680,f3485]) ).

fof(f7770,plain,
    ( spl79_236
    | spl79_225
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7675,f3483,f7723,f7768]) ).

fof(f7768,plain,
    ( spl79_236
  <=> ! [X5,X4,X7,X6] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X5
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X6),hAPP(X7,sK7(X7,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X5,X6,X4)))
        | X5 = X6
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X4))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X4,sK7(X7,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X5,X6,X4)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X6),hAPP(v_F,X7))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X6
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X7,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_236])]) ).

fof(f7675,plain,
    ( ! [X6,X7,X4,X5] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X6
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X6),hAPP(v_F,X7))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X7,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X4,sK7(X7,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X5,X6,X4)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X4))
        | X5 = X6
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X6),hAPP(X7,sK7(X7,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X5,X6,X4)))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X5 )
    | ~ spl79_57 ),
    inference(superposition,[],[f2140,f3485]) ).

fof(f7766,plain,
    ( spl79_225
    | spl79_235
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7676,f3483,f7764,f7723]) ).

fof(f7676,plain,
    ( ! [X10,X11,X8,X9] :
        ( X9 = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X8))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X8,X9,X10,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X11)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X9
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X8,sK7(X8,X9,X10,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X11)))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2141,f3485]) ).

fof(f7762,plain,
    ( spl79_234
    | spl79_225
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7683,f3483,f7723,f7760]) ).

fof(f7683,plain,
    ( ! [X31,X28,X29,X30] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X31,X29),hAPP(X30,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X31,X30,X29,X28,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X30,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X28))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X31
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X31,X29),hAPP(v_F,X30))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X28,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X31,X30,X29,X28,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X29
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X28,c_Arrow__Order__Mirabelle_OProf)
        | X29 = X31 )
    | ~ spl79_57 ),
    inference(superposition,[],[f2706,f3485]) ).

fof(f7758,plain,
    ( spl79_225
    | spl79_233
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7682,f3483,f7756,f7723]) ).

fof(f7682,plain,
    ( ! [X26,X27,X24,X25] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X25,X26),hAPP(X27,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X25,X27,X26,X24,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X27,c_Arrow__Order__Mirabelle_OProf)
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X26
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X25,X26),hAPP(v_F,X27))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X24,sK64(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X25,X27,X26,X24,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X24,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X24))
        | X25 = X26
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X25
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2705,f3485]) ).

fof(f7754,plain,
    ( spl79_225
    | spl79_232
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7677,f3483,f7752,f7723]) ).

fof(f7677,plain,
    ( ! [X14,X15,X12,X13] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X12,sK7(X15,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X13,X14,X12)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X13
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X12))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),hAPP(v_F,X15))
        | sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = X14
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),hAPP(X15,sK7(X15,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X13,X14,X12)))
        | X13 = X14
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2142,f3485]) ).

fof(f7750,plain,
    ( spl79_225
    | spl79_231
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7696,f3483,f7748,f7723]) ).

fof(f7696,plain,
    ( ! [X57] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X57))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK35(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X57,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),tc_Arrow__Order__Mirabelle_Oalt),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),X57) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2369,f3485]) ).

fof(f7746,plain,
    ( spl79_225
    | spl79_230
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7679,f3483,f7744,f7723]) ).

fof(f7679,plain,
    ( ! [X18,X19] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X18,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X18,X19,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X19,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X18,X19,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X18))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X19))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X19,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2681,f3485]) ).

fof(f7742,plain,
    ( spl79_229
    | spl79_225
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7681,f3483,f7723,f7740]) ).

fof(f7681,plain,
    ( ! [X22,X23] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X23))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X22,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X22,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X22,X23,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X23,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X22))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X23,sK62(sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X22,X23,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))))) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2683,f3485]) ).

fof(f7738,plain,
    ( spl79_227
    | spl79_228
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7730,f3483,f7736,f7732]) ).

fof(f7732,plain,
    ( spl79_227
  <=> sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_227])]) ).

fof(f7736,plain,
    ( spl79_228
  <=> ! [X81] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Relation_Orel__comp(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X81,c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X81)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_228])]) ).

fof(f7730,plain,
    ( ! [X81] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Relation_Orel__comp(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X81,c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X81)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X81))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) )
    | ~ spl79_57 ),
    inference(forward_subsumption_demodulation,[],[f7714,f2875]) ).

fof(f7714,plain,
    ( ! [X81] :
        ( sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Relation_Orel__comp(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X81,c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X81)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,X81)) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2875,f3485]) ).

fof(f7729,plain,
    ( spl79_225
    | spl79_226
    | ~ spl79_57 ),
    inference(avatar_split_clause,[],[f7680,f3483,f7727,f7723]) ).

fof(f7680,plain,
    ( ! [X21,X20] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X20))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(X21,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,X21))
        | sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) = sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X20,sK62(sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),X21,X20,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X21,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_57 ),
    inference(superposition,[],[f2682,f3485]) ).

fof(f7637,plain,
    ( ~ spl79_30
    | spl79_1
    | spl79_224
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7565,f6442,f7635,f3048,f3201]) ).

fof(f7635,plain,
    ( spl79_224
  <=> ! [X6,X8,X7] :
        ( v_b____ = X6
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | v_c____ = X7
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,v_c____,v_b____,X8)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK7(v_P____,X6,X7,v_c____,v_b____,X8)))
        | X6 = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_224])]) ).

fof(f7565,plain,
    ( ! [X8,X6,X7] :
        ( v_b____ = X6
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | X6 = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK7(v_P____,X6,X7,v_c____,v_b____,X8)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,v_c____,v_b____,X8)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | v_c____ = X7
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2141]) ).

fof(f7633,plain,
    ( spl79_223
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7574,f6442,f7630]) ).

fof(f7630,plain,
    ( spl79_223
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_223])]) ).

fof(f7574,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2441]) ).

fof(f7628,plain,
    ( spl79_1
    | ~ spl79_30
    | spl79_222
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7567,f6442,f7626,f3201,f3048]) ).

fof(f7626,plain,
    ( spl79_222
  <=> ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X12))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X12,sK62(v_c____,X12,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_c____,X12,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_222])]) ).

fof(f7567,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X12))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_c____,X12,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X12,sK62(v_c____,X12,v_P____,v_b____)))
        | v_b____ = v_c____ )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2680]) ).

fof(f7624,plain,
    ( spl79_1
    | ~ spl79_30
    | spl79_221
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7566,f6442,f7622,f3201,f3048]) ).

fof(f7622,plain,
    ( spl79_221
  <=> ! [X9,X11,X10] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | v_b____ = X9
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_c____,v_b____,X9,X10,v_P____)))
        | X9 = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK7(X11,v_c____,v_b____,X9,X10,v_P____)))
        | v_c____ = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_221])]) ).

fof(f7566,plain,
    ( ! [X10,X11,X9] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_c____ = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK7(X11,v_c____,v_b____,X9,X10,v_P____)))
        | X9 = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_c____,v_b____,X9,X10,v_P____)))
        | v_b____ = v_c____
        | v_b____ = X9 )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2142]) ).

fof(f7620,plain,
    ( spl79_1
    | ~ spl79_30
    | spl79_220
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7571,f6442,f7618,f3201,f3048]) ).

fof(f7618,plain,
    ( spl79_220
  <=> ! [X18,X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | X16 = X17
        | v_b____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_b____,X16,X18,X17,v_P____,v_c____)))
        | v_c____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK64(v_b____,X16,X18,X17,v_P____,v_c____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_220])]) ).

fof(f7571,plain,
    ( ! [X18,X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK64(v_b____,X16,X18,X17,v_P____,v_c____)))
        | v_c____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_b____,X16,X18,X17,v_P____,v_c____)))
        | v_b____ = X16
        | X16 = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2705]) ).

fof(f7616,plain,
    ( ~ spl79_30
    | spl79_219
    | spl79_1
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7568,f6442,f3048,f7614,f3201]) ).

fof(f7614,plain,
    ( spl79_219
  <=> ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X13))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X13,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X13,sK62(v_b____,v_P____,X13,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_219])]) ).

fof(f7568,plain,
    ( ! [X13] :
        ( v_b____ = v_c____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X13))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X13,sK62(v_b____,v_P____,X13,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X13,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2681]) ).

fof(f7612,plain,
    ( spl79_1
    | spl79_218
    | ~ spl79_30
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7570,f6442,f3201,f7610,f3048]) ).

fof(f7610,plain,
    ( spl79_218
  <=> ! [X15] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X15,sK62(v_b____,v_P____,X15,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X15,v_c____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_218])]) ).

fof(f7570,plain,
    ( ! [X15] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X15,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X15))
        | v_b____ = v_c____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X15,sK62(v_b____,v_P____,X15,v_c____))) )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2683]) ).

fof(f7608,plain,
    ( spl79_217
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7577,f6442,f7605]) ).

fof(f7603,plain,
    ( spl79_216
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7575,f6442,f7600]) ).

fof(f7600,plain,
    ( spl79_216
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_216])]) ).

fof(f7575,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f3352]) ).

fof(f7598,plain,
    ( spl79_1
    | spl79_215
    | ~ spl79_30
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7572,f6442,f3201,f7596,f3048]) ).

fof(f7596,plain,
    ( spl79_215
  <=> ! [X20,X21,X19] :
        ( v_c____ = X19
        | X19 = X21
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_b____,X21,X20,X19,v_P____,v_c____)))
        | v_b____ = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK64(v_b____,X21,X20,X19,v_P____,v_c____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_215])]) ).

fof(f7572,plain,
    ( ! [X21,X19,X20] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_c____ = X19
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK64(v_b____,X21,X20,X19,v_P____,v_c____)))
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_b____,X21,X20,X19,v_P____,v_c____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | X19 = X21 )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2706]) ).

fof(f7594,plain,
    ( ~ spl79_30
    | spl79_1
    | spl79_214
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7564,f6442,f7592,f3048,f3201]) ).

fof(f7592,plain,
    ( spl79_214
  <=> ! [X4,X5,X3] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK7(X5,v_c____,v_b____,X3,X4,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_c____,v_b____,X3,X4,v_P____)))
        | v_c____ = X4
        | X3 = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | v_b____ = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_214])]) ).

fof(f7564,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X3
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | X3 = X4
        | v_c____ = X4
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_c____,v_b____,X3,X4,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK7(X5,v_c____,v_b____,X3,X4,v_P____))) )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2140]) ).

fof(f7590,plain,
    ( spl79_213
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7576,f6442,f7587]) ).

fof(f7587,plain,
    ( spl79_213
  <=> hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_213])]) ).

fof(f7576,plain,
    ( hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2728]) ).

fof(f7585,plain,
    ( spl79_1
    | ~ spl79_30
    | spl79_212
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7569,f6442,f7583,f3201,f3048]) ).

fof(f7583,plain,
    ( spl79_212
  <=> ! [X14] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X14))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_c____,X14,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X14,sK62(v_c____,X14,v_P____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_212])]) ).

fof(f7569,plain,
    ( ! [X14] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,X14))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(X14,sK62(v_c____,X14,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_c____,X14,v_P____,v_b____))) )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2682]) ).

fof(f7581,plain,
    ( ~ spl79_30
    | spl79_1
    | spl79_211
    | ~ spl79_158 ),
    inference(avatar_split_clause,[],[f7563,f6442,f7579,f3048,f3201]) ).

fof(f7579,plain,
    ( spl79_211
  <=> ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK7(v_P____,X0,X1,v_c____,v_b____,X2)))
        | X0 = X1
        | v_c____ = X1
        | v_b____ = X0
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_c____,v_b____,X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_211])]) ).

fof(f7563,plain,
    ( ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK7(v_P____,X0,X1,v_c____,v_b____,X2)))
        | v_b____ = v_c____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_c____,v_b____,X2)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X0
        | v_c____ = X1
        | X0 = X1 )
    | ~ spl79_158 ),
    inference(resolution,[],[f6444,f2139]) ).

fof(f7500,plain,
    ( ~ spl79_8
    | ~ spl79_185 ),
    inference(avatar_contradiction_clause,[],[f7491]) ).

fof(f7491,plain,
    ( $false
    | ~ spl79_8
    | ~ spl79_185 ),
    inference(resolution,[],[f7217,f3085]) ).

fof(f7217,plain,
    ( ! [X7] : ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X7,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_185 ),
    inference(superposition,[],[f2912,f7048]) ).

fof(f7048,plain,
    ( c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | ~ spl79_185 ),
    inference(avatar_component_clause,[],[f7046]) ).

fof(f2912,plain,
    ! [X2,X0] : ~ c_member(X0,X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),
    inference(equality_resolution,[],[f2160]) ).

fof(f2160,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != X1
      | ~ c_member(X0,X2,X1) ),
    inference(cnf_transformation,[],[f1560]) ).

fof(f7499,plain,
    ( ~ spl79_70
    | ~ spl79_185 ),
    inference(avatar_contradiction_clause,[],[f7492]) ).

fof(f7492,plain,
    ( $false
    | ~ spl79_70
    | ~ spl79_185 ),
    inference(resolution,[],[f7217,f3757]) ).

fof(f7498,plain,
    ( ~ spl79_71
    | ~ spl79_185 ),
    inference(avatar_contradiction_clause,[],[f7493]) ).

fof(f7493,plain,
    ( $false
    | ~ spl79_71
    | ~ spl79_185 ),
    inference(resolution,[],[f7217,f3794]) ).

fof(f7497,plain,
    ( ~ spl79_37
    | ~ spl79_185 ),
    inference(avatar_contradiction_clause,[],[f7490]) ).

fof(f7490,plain,
    ( $false
    | ~ spl79_37
    | ~ spl79_185 ),
    inference(resolution,[],[f7217,f3285]) ).

fof(f7496,plain,
    ( ~ spl79_30
    | ~ spl79_185 ),
    inference(avatar_contradiction_clause,[],[f7489]) ).

fof(f7489,plain,
    ( $false
    | ~ spl79_30
    | ~ spl79_185 ),
    inference(resolution,[],[f7217,f3203]) ).

fof(f7469,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3730,f3362,f3748]) ).

fof(f7468,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6711,f3362,f3748]) ).

fof(f7467,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f7413,f6607,f3743]) ).

fof(f7466,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4269,f3362,f3748]) ).

fof(f7465,plain,
    ( spl79_196
    | ~ spl79_185 ),
    inference(avatar_split_clause,[],[f7216,f7046,f7224]) ).

fof(f7224,plain,
    ( spl79_196
  <=> c_Finite__Set_Ofinite(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_196])]) ).

fof(f7216,plain,
    ( c_Finite__Set_Ofinite(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_185 ),
    inference(superposition,[],[f2729,f7048]) ).

fof(f2729,plain,
    ! [X0] : c_Finite__Set_Ofinite(X0,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),
    inference(cnf_transformation,[],[f747]) ).

fof(f747,plain,
    ! [X0] : c_Finite__Set_Ofinite(X0,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),
    inference(rectify,[],[f410]) ).

fof(f410,axiom,
    ! [X8] : c_Finite__Set_Ofinite(X8,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite_Oequations_I1_J) ).

fof(f7464,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3729,f3169,f3743]) ).

fof(f7463,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f5160,f3362,f3748]) ).

fof(f7462,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f6703,f3169,f3743]) ).

fof(f7461,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f5153,f3169,f3743]) ).

fof(f7460,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f4732,f3169,f3743]) ).

fof(f7459,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3492,f3362,f3169]) ).

fof(f3492,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f3478,f2510]) ).

fof(f3478,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f7458,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3676,f3362,f3169]) ).

fof(f7457,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3803,f3362,f3169]) ).

fof(f7456,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3798,f3362,f3169]) ).

fof(f7455,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f5195,f3748,f3169]) ).

fof(f5195,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_73 ),
    inference(forward_demodulation,[],[f5190,f2510]) ).

fof(f5190,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_73 ),
    inference(resolution,[],[f3854,f2441]) ).

fof(f7454,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f6847,f3748,f3169]) ).

fof(f7453,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3532,f3362,f3169]) ).

fof(f3532,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f3529,f2510]) ).

fof(f3529,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f7452,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3603,f3362,f3169]) ).

fof(f3603,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f3600,f2510]) ).

fof(f3600,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f7451,plain,
    ( spl79_210
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f7441,f3356,f7448]) ).

fof(f7448,plain,
    ( spl79_210
  <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))) = hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_210])]) ).

fof(f7441,plain,
    ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))) = hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2728]) ).

fof(f7422,plain,
    ( ~ spl79_209
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f7410,f6607,f7419]) ).

fof(f7419,plain,
    ( spl79_209
  <=> hAPP(v_F,v_P____) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_209])]) ).

fof(f7410,plain,
    ( hAPP(v_F,v_P____) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))
    | ~ spl79_168 ),
    inference(superposition,[],[f2429,f6609]) ).

fof(f2429,plain,
    ! [X2,X0,X1] : c_Set_Oinsert(X0,X2,X1) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),
    inference(cnf_transformation,[],[f933]) ).

fof(f933,plain,
    ! [X0,X1,X2] : c_Set_Oinsert(X0,X2,X1) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),
    inference(rectify,[],[f392]) ).

fof(f392,axiom,
    ! [X8,X11,X6] : c_Set_Oinsert(X8,X6,X11) != c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__not__empty) ).

fof(f7417,plain,
    ( spl79_72
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f7413,f6607,f3743]) ).

fof(f7416,plain,
    ( spl79_24
    | ~ spl79_168 ),
    inference(avatar_split_clause,[],[f7414,f6607,f3169]) ).

fof(f7414,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_168 ),
    inference(superposition,[],[f3027,f6609]) ).

fof(f3027,plain,
    ! [X2,X3,X1] : c_member(X2,X1,c_Set_Oinsert(X2,X1,X3)),
    inference(equality_resolution,[],[f2817]) ).

fof(f2817,plain,
    ! [X2,X3,X0,X1] :
      ( c_member(X2,X0,c_Set_Oinsert(X2,X1,X3))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f2074]) ).

fof(f2074,plain,
    ! [X0,X1,X2,X3] :
      ( ( X0 = X1
        | c_member(X2,X0,X3)
        | ~ c_member(X2,X0,c_Set_Oinsert(X2,X1,X3)) )
      & ( c_member(X2,X0,c_Set_Oinsert(X2,X1,X3))
        | ( X0 != X1
          & ~ c_member(X2,X0,X3) ) ) ),
    inference(rectify,[],[f2073]) ).

fof(f2073,plain,
    ! [X1,X2,X3,X0] :
      ( ( X1 = X2
        | c_member(X3,X1,X0)
        | ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,X0)) )
      & ( c_member(X3,X1,c_Set_Oinsert(X3,X2,X0))
        | ( X1 != X2
          & ~ c_member(X3,X1,X0) ) ) ),
    inference(flattening,[],[f2072]) ).

fof(f2072,plain,
    ! [X1,X2,X3,X0] :
      ( ( X1 = X2
        | c_member(X3,X1,X0)
        | ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,X0)) )
      & ( c_member(X3,X1,c_Set_Oinsert(X3,X2,X0))
        | ( X1 != X2
          & ~ c_member(X3,X1,X0) ) ) ),
    inference(nnf_transformation,[],[f746]) ).

fof(f746,plain,
    ! [X1,X2,X3,X0] :
      ( ( X1 = X2
        | c_member(X3,X1,X0) )
    <=> c_member(X3,X1,c_Set_Oinsert(X3,X2,X0)) ),
    inference(rectify,[],[f155]) ).

fof(f155,axiom,
    ! [X11,X6,X5,X8] :
      ( c_member(X8,X6,c_Set_Oinsert(X8,X5,X11))
    <=> ( X5 = X6
        | c_member(X8,X6,X11) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__iff) ).

fof(f7364,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5115,f3356,f3096]) ).

fof(f7363,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3928,f3341,f3100]) ).

fof(f7361,plain,
    ( spl79_185
    | spl79_208
    | ~ spl79_56 ),
    inference(avatar_split_clause,[],[f7323,f3474,f7359,f7046]) ).

fof(f7359,plain,
    ( spl79_208
  <=> ! [X34,X35] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X34,X35),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(v_P____,X34,X35,v_a____,v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X34,X35),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_a____ = X35
        | v_b____ = X34
        | X34 = X35
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X34,X35,v_a____,v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_208])]) ).

fof(f3474,plain,
    ( spl79_56
  <=> ! [X2,X0,X1] :
        ( v_b____ = X0
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | X0 = X1
        | v_a____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_a____,v_b____,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_56])]) ).

fof(f7323,plain,
    ( ! [X34,X35] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X34,X35),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(v_P____,X34,X35,v_a____,v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X34,X35,v_a____,v_b____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | X34 = X35
        | v_b____ = X34
        | v_a____ = X35
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X34,X35),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) )
    | ~ spl79_56 ),
    inference(resolution,[],[f2213,f3475]) ).

fof(f3475,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | v_a____ = X1
        | v_b____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | X0 = X1 )
    | ~ spl79_56 ),
    inference(avatar_component_clause,[],[f3474]) ).

fof(f7357,plain,
    ( spl79_205
    | spl79_206
    | spl79_185
    | spl79_207
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f7325,f3390,f7354,f7046,f7350,f7345]) ).

fof(f7345,plain,
    ( spl79_205
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_205])]) ).

fof(f7350,plain,
    ( spl79_206
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_a____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_206])]) ).

fof(f7354,plain,
    ( spl79_207
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_207])]) ).

fof(f3390,plain,
    ( spl79_45
  <=> ! [X0] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,X0,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_a____,X0,v_P____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_45])]) ).

fof(f7325,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____)))
    | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_a____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | ~ spl79_45 ),
    inference(resolution,[],[f2213,f3391]) ).

fof(f3391,plain,
    ( ! [X0] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_a____,X0,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,X0,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0)) )
    | ~ spl79_45 ),
    inference(avatar_component_clause,[],[f3390]) ).

fof(f7348,plain,
    ( spl79_203
    | spl79_204
    | spl79_205
    | spl79_185
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f7324,f3403,f7046,f7345,f7341,f7337]) ).

fof(f7337,plain,
    ( spl79_203
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_203])]) ).

fof(f7341,plain,
    ( spl79_204
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,v_P____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_204])]) ).

fof(f3403,plain,
    ( spl79_47
  <=> ! [X0] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_b____,v_P____,X0,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X0,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_47])]) ).

fof(f7324,plain,
    ( c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,v_P____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____)))
    | ~ spl79_47 ),
    inference(resolution,[],[f2213,f3404]) ).

fof(f3404,plain,
    ( ! [X0] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X0,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_b____,v_P____,X0,v_a____))) )
    | ~ spl79_47 ),
    inference(avatar_component_clause,[],[f3403]) ).

fof(f7335,plain,
    ( spl79_185
    | spl79_202
    | ~ spl79_59 ),
    inference(avatar_split_clause,[],[f7322,f3503,f7333,f7046]) ).

fof(f7333,plain,
    ( spl79_202
  <=> ! [X32,X33] :
        ( v_b____ = X32
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X32,X33),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X32,X33),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____,v_b____,X32,X33,v_P____)))
        | v_a____ = X33
        | X32 = X33
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____,v_b____,X32,X33,v_P____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_202])]) ).

fof(f3503,plain,
    ( spl79_59
  <=> ! [X2,X0,X1] :
        ( v_b____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(X2,v_a____,v_b____,X0,X1,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X1
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(X2,v_a____,v_b____,X0,X1,v_P____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_59])]) ).

fof(f7322,plain,
    ( ! [X32,X33] :
        ( v_b____ = X32
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____,v_b____,X32,X33,v_P____)))
        | X32 = X33
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | v_a____ = X33
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X32,X33),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____,v_b____,X32,X33,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X32,X33),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) )
    | ~ spl79_59 ),
    inference(resolution,[],[f2213,f3504]) ).

fof(f3504,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | X0 = X1
        | v_a____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(X2,v_a____,v_b____,X0,X1,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(X2,v_a____,v_b____,X0,X1,v_P____)))
        | v_b____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2)) )
    | ~ spl79_59 ),
    inference(avatar_component_clause,[],[f3503]) ).

fof(f7329,plain,
    ( spl79_185
    | spl79_201
    | ~ spl79_66 ),
    inference(avatar_split_clause,[],[f7321,f3606,f7327,f7046]) ).

fof(f7327,plain,
    ( spl79_201
  <=> ! [X30,X31] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X30,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X31,v_P____,v_a____)))
        | X30 = X31
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X30,X31),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X30,X31),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_b____,X30,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X31,v_P____,v_a____)))
        | v_b____ = X30
        | v_a____ = X31 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_201])]) ).

fof(f3606,plain,
    ( spl79_66
  <=> ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X0,X2,X1,v_P____,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X0
        | v_a____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK64(v_b____,X0,X2,X1,v_P____,v_a____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_66])]) ).

fof(f7321,plain,
    ( ! [X31,X30] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X30,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X31,v_P____,v_a____)))
        | v_a____ = X31
        | v_b____ = X30
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X30,X31),hAPP(sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_b____,X30,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X31,v_P____,v_a____)))
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X30,X31),hAPP(v_F,sK17(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | X30 = X31 )
    | ~ spl79_66 ),
    inference(resolution,[],[f2213,f3607]) ).

fof(f3607,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_b____ = X0
        | v_a____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X0,X2,X1,v_P____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK64(v_b____,X0,X2,X1,v_P____,v_a____))) )
    | ~ spl79_66 ),
    inference(avatar_component_clause,[],[f3606]) ).

fof(f7249,plain,
    ( spl79_189
    | spl79_191
    | spl79_185
    | spl79_190
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f7187,f3390,f7068,f7046,f7072,f7064]) ).

fof(f7064,plain,
    ( spl79_189
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_189])]) ).

fof(f7072,plain,
    ( spl79_191
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_191])]) ).

fof(f7068,plain,
    ( spl79_190
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_190])]) ).

fof(f7187,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____)))
    | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | ~ spl79_45 ),
    inference(resolution,[],[f3391,f2159]) ).

fof(f7248,plain,
    ( spl79_189
    | spl79_192
    | spl79_193
    | spl79_185
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f7194,f3403,f7046,f7081,f7077,f7064]) ).

fof(f7077,plain,
    ( spl79_192
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,v_P____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_192])]) ).

fof(f7081,plain,
    ( spl79_193
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_193])]) ).

fof(f7194,plain,
    ( c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,v_P____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | ~ spl79_47 ),
    inference(resolution,[],[f3404,f2159]) ).

fof(f7247,plain,
    ( spl79_200
    | ~ spl79_185 ),
    inference(avatar_split_clause,[],[f7219,f7046,f7244]) ).

fof(f7244,plain,
    ( spl79_200
  <=> c_Wellfounded_Oacyclic(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Relation_OId__on(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_200])]) ).

fof(f7219,plain,
    ( c_Wellfounded_Oacyclic(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Relation_OId__on(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))
    | ~ spl79_185 ),
    inference(superposition,[],[f3679,f7048]) ).

fof(f3679,plain,
    ! [X0] : c_Wellfounded_Oacyclic(X0,c_Relation_OId__on(X0,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f3231,f2586]) ).

fof(f2586,plain,
    ! [X0,X1] :
      ( ~ c_Wellfounded_Owf(X0,X1)
      | c_Wellfounded_Oacyclic(X0,X1) ),
    inference(cnf_transformation,[],[f1898]) ).

fof(f1898,plain,
    ! [X0,X1] :
      ( ~ c_Wellfounded_Owf(X0,X1)
      | c_Wellfounded_Oacyclic(X0,X1) ),
    inference(rectify,[],[f1090]) ).

fof(f1090,plain,
    ! [X1,X0] :
      ( ~ c_Wellfounded_Owf(X1,X0)
      | c_Wellfounded_Oacyclic(X1,X0) ),
    inference(ennf_transformation,[],[f573]) ).

fof(f573,plain,
    ! [X1,X0] :
      ( c_Wellfounded_Owf(X1,X0)
     => c_Wellfounded_Oacyclic(X1,X0) ),
    inference(rectify,[],[f175]) ).

fof(f175,axiom,
    ! [X4,X8] :
      ( c_Wellfounded_Owf(X8,X4)
     => c_Wellfounded_Oacyclic(X8,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_wf__acyclic) ).

fof(f3231,plain,
    ! [X0] : c_Wellfounded_Owf(X0,c_Relation_OId__on(X0,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))),
    inference(backward_demodulation,[],[f2600,f2674]) ).

fof(f2674,plain,
    ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_HOL_Obool)) = c_Relation_OId__on(X0,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),
    inference(cnf_transformation,[],[f935]) ).

fof(f935,plain,
    ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_HOL_Obool)) = c_Relation_OId__on(X0,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),
    inference(rectify,[],[f399]) ).

fof(f399,axiom,
    ! [X8] : c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X8,X8),tc_HOL_Obool)) = c_Relation_OId__on(X8,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Id__on__empty) ).

fof(f2600,plain,
    ! [X0] : c_Wellfounded_Owf(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_HOL_Obool))),
    inference(cnf_transformation,[],[f980]) ).

fof(f980,plain,
    ! [X0] : c_Wellfounded_Owf(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_HOL_Obool))),
    inference(rectify,[],[f360]) ).

fof(f360,axiom,
    ! [X8] : c_Wellfounded_Owf(X8,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X8,X8),tc_HOL_Obool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_wf__empty) ).

fof(f7242,plain,
    ( ~ spl79_199
    | ~ spl79_132
    | ~ spl79_185 ),
    inference(avatar_split_clause,[],[f7221,f7046,f4965,f7239]) ).

fof(f7239,plain,
    ( spl79_199
  <=> hAPP(v_F,v_P_H____) = c_Arrow__Order__Mirabelle_OProf ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_199])]) ).

fof(f4965,plain,
    ( spl79_132
  <=> hBOOL(hAPP(hAPP(v_F,v_P_H____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_132])]) ).

fof(f7221,plain,
    ( hAPP(v_F,v_P_H____) != c_Arrow__Order__Mirabelle_OProf
    | ~ spl79_132
    | ~ spl79_185 ),
    inference(superposition,[],[f6892,f7048]) ).

fof(f6892,plain,
    ( ! [X1] : hAPP(v_F,v_P_H____) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | ~ spl79_132 ),
    inference(superposition,[],[f2429,f6655]) ).

fof(f6655,plain,
    ( ! [X25] : hAPP(v_F,v_P_H____) = c_Set_Oinsert(X25,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2728]) ).

fof(f5246,plain,
    ( ! [X0] : c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl79_132 ),
    inference(resolution,[],[f4967,f2566]) ).

fof(f4967,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P_H____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_132 ),
    inference(avatar_component_clause,[],[f4965]) ).

fof(f7237,plain,
    ( spl79_198
    | ~ spl79_185 ),
    inference(avatar_split_clause,[],[f7218,f7046,f7234]) ).

fof(f7234,plain,
    ( spl79_198
  <=> c_Wellfounded_Owf(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Relation_OId__on(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_198])]) ).

fof(f7218,plain,
    ( c_Wellfounded_Owf(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Relation_OId__on(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))
    | ~ spl79_185 ),
    inference(superposition,[],[f3231,f7048]) ).

fof(f7232,plain,
    ( ~ spl79_197
    | ~ spl79_72
    | ~ spl79_185 ),
    inference(avatar_split_clause,[],[f7220,f7046,f3743,f7229]) ).

fof(f7229,plain,
    ( spl79_197
  <=> c_Arrow__Order__Mirabelle_OProf = hAPP(v_F,v_P____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_197])]) ).

fof(f7220,plain,
    ( c_Arrow__Order__Mirabelle_OProf != hAPP(v_F,v_P____)
    | ~ spl79_72
    | ~ spl79_185 ),
    inference(superposition,[],[f6864,f7048]) ).

fof(f6864,plain,
    ( ! [X1] : hAPP(v_F,v_P____) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | ~ spl79_72 ),
    inference(superposition,[],[f2429,f6826]) ).

fof(f6826,plain,
    ( ! [X25] : hAPP(v_F,v_P____) = c_Set_Oinsert(X25,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2728]) ).

fof(f3797,plain,
    ( ! [X0] : c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_72 ),
    inference(resolution,[],[f3745,f2566]) ).

fof(f3745,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_72 ),
    inference(avatar_component_clause,[],[f3743]) ).

fof(f7227,plain,
    ( spl79_196
    | ~ spl79_185 ),
    inference(avatar_split_clause,[],[f7216,f7046,f7224]) ).

fof(f7180,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3730,f3362,f3748]) ).

fof(f7179,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3802,f3362,f3748]) ).

fof(f7178,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4269,f3362,f3748]) ).

fof(f7177,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f3860,f3748,f3169]) ).

fof(f3860,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_73 ),
    inference(forward_demodulation,[],[f3856,f2510]) ).

fof(f3856,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_73 ),
    inference(resolution,[],[f3854,f2441]) ).

fof(f7176,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6711,f3362,f3748]) ).

fof(f7175,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f6703,f3169,f3743]) ).

fof(f7174,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f5195,f3748,f3169]) ).

fof(f7173,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6718,f3362,f3169]) ).

fof(f7172,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f5160,f3362,f3748]) ).

fof(f7171,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6836,f3362,f3748]) ).

fof(f7170,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3492,f3362,f3169]) ).

fof(f7169,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3793,f3169,f3743]) ).

fof(f7168,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3532,f3362,f3169]) ).

fof(f7167,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6704,f3362,f3169]) ).

fof(f7166,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6840,f3362,f3169]) ).

fof(f7165,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3676,f3362,f3169]) ).

fof(f7164,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f4732,f3169,f3743]) ).

fof(f7161,plain,
    ( spl79_195
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f7153,f3341,f7158]) ).

fof(f7158,plain,
    ( spl79_195
  <=> hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_195])]) ).

fof(f7153,plain,
    ( hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2728]) ).

fof(f7114,plain,
    ( ~ spl79_194
    | spl79_179 ),
    inference(avatar_split_clause,[],[f7109,f6906,f7111]) ).

fof(f7109,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))
    | spl79_179 ),
    inference(resolution,[],[f6908,f2676]) ).

fof(f6908,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))
    | spl79_179 ),
    inference(avatar_component_clause,[],[f6906]) ).

fof(f7093,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4348,f3341,f3100]) ).

fof(f7092,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5115,f3356,f3096]) ).

fof(f7091,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4774,f3341,f3100]) ).

fof(f7090,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4353,f3341,f3100]) ).

fof(f7089,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3928,f3341,f3100]) ).

fof(f7088,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3913,f3341,f3100]) ).

fof(f7087,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4781,f3341,f3100]) ).

fof(f7086,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5126,f3356,f3096]) ).

fof(f7084,plain,
    ( spl79_189
    | spl79_192
    | spl79_185
    | spl79_193
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f7043,f3403,f7081,f7046,f7077,f7064]) ).

fof(f7043,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____)))
    | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_b____,v_P____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | ~ spl79_47 ),
    inference(resolution,[],[f2159,f3404]) ).

fof(f7075,plain,
    ( spl79_189
    | spl79_190
    | spl79_185
    | spl79_191
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f7044,f3390,f7072,f7046,f7068,f7064]) ).

fof(f7044,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____)))
    | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK62(v_a____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
    | ~ spl79_45 ),
    inference(resolution,[],[f2159,f3391]) ).

fof(f7061,plain,
    ( spl79_185
    | spl79_188
    | ~ spl79_66 ),
    inference(avatar_split_clause,[],[f7040,f3606,f7059,f7046]) ).

fof(f7059,plain,
    ( spl79_188
  <=> ! [X30,X31] :
        ( v_a____ = X31
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X30,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X31,v_P____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X30,X31),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_b____ = X30
        | X30 = X31
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X30,X31),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_b____,X30,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X31,v_P____,v_a____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_188])]) ).

fof(f7040,plain,
    ( ! [X31,X30] :
        ( v_a____ = X31
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X30,X31),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK64(v_b____,X30,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X31,v_P____,v_a____)))
        | X30 = X31
        | v_b____ = X30
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X30,X31),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X30,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),X31,v_P____,v_a____))) )
    | ~ spl79_66 ),
    inference(resolution,[],[f2159,f3607]) ).

fof(f7056,plain,
    ( spl79_185
    | spl79_187
    | ~ spl79_56 ),
    inference(avatar_split_clause,[],[f7042,f3474,f7054,f7046]) ).

fof(f7054,plain,
    ( spl79_187
  <=> ! [X34,X35] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X34,X35),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(v_P____,X34,X35,v_a____,v_b____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | v_b____ = X34
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X34,X35),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_a____ = X35
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X34,X35,v_a____,v_b____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | X34 = X35 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_187])]) ).

fof(f7042,plain,
    ( ! [X34,X35] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X34,X35),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(v_P____,X34,X35,v_a____,v_b____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | X34 = X35
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X34,X35,v_a____,v_b____,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf))))
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | v_a____ = X35
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X34,X35),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | v_b____ = X34 )
    | ~ spl79_56 ),
    inference(resolution,[],[f2159,f3475]) ).

fof(f7052,plain,
    ( spl79_185
    | spl79_186
    | ~ spl79_59 ),
    inference(avatar_split_clause,[],[f7041,f3503,f7050,f7046]) ).

fof(f7050,plain,
    ( spl79_186
  <=> ! [X32,X33] :
        ( v_a____ = X33
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____,v_b____,X32,X33,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X32,X33),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X32,X33),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____,v_b____,X32,X33,v_P____)))
        | v_b____ = X32
        | X32 = X33 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_186])]) ).

fof(f7041,plain,
    ( ! [X32,X33] :
        ( v_a____ = X33
        | v_b____ = X32
        | X32 = X33
        | c_Arrow__Order__Mirabelle_OProf = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_HOL_Obool))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X32,X33),hAPP(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____,v_b____,X32,X33,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X32,X33),hAPP(v_F,sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(sK12(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OProf),v_a____,v_b____,X32,X33,v_P____))) )
    | ~ spl79_59 ),
    inference(resolution,[],[f2159,f3504]) ).

fof(f6970,plain,
    ( spl79_85
    | ~ spl79_140 ),
    inference(avatar_split_clause,[],[f6051,f5033,f4077]) ).

fof(f6051,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_140 ),
    inference(resolution,[],[f6050,f2292]) ).

fof(f6969,plain,
    ( spl79_85
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5031,f4235,f4077]) ).

fof(f6968,plain,
    ( spl79_85
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f6239,f4235,f4077]) ).

fof(f6967,plain,
    ( ~ spl79_85
    | spl79_177 ),
    inference(avatar_split_clause,[],[f6883,f6878,f4077]) ).

fof(f6966,plain,
    ( spl79_85
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5014,f4235,f4077]) ).

fof(f6965,plain,
    ( spl79_85
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f6230,f4235,f4077]) ).

fof(f6964,plain,
    ( spl79_184
    | ~ spl79_83 ),
    inference(avatar_split_clause,[],[f6937,f4069,f6961]) ).

fof(f6961,plain,
    ( spl79_184
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_184])]) ).

fof(f4069,plain,
    ( spl79_83
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_83])]) ).

fof(f6937,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))))
    | ~ spl79_83 ),
    inference(resolution,[],[f4071,f3352]) ).

fof(f4071,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | ~ spl79_83 ),
    inference(avatar_component_clause,[],[f4069]) ).

fof(f6959,plain,
    ( spl79_183
    | ~ spl79_83 ),
    inference(avatar_split_clause,[],[f6939,f4069,f6956]) ).

fof(f6956,plain,
    ( spl79_183
  <=> hBOOL(hAPP(hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_183])]) ).

fof(f6939,plain,
    ( hBOOL(hAPP(hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_83 ),
    inference(resolution,[],[f4071,f2567]) ).

fof(f6954,plain,
    ( spl79_182
    | ~ spl79_83 ),
    inference(avatar_split_clause,[],[f6934,f4069,f6951]) ).

fof(f6951,plain,
    ( spl79_182
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,v_P____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_182])]) ).

fof(f6934,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | ~ spl79_83 ),
    inference(resolution,[],[f4071,f2232]) ).

fof(f6949,plain,
    ( spl79_181
    | ~ spl79_83 ),
    inference(avatar_split_clause,[],[f6936,f4069,f6946]) ).

fof(f6946,plain,
    ( spl79_181
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_181])]) ).

fof(f6936,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____))))
    | ~ spl79_83 ),
    inference(resolution,[],[f4071,f2441]) ).

fof(f6944,plain,
    ( spl79_180
    | ~ spl79_83 ),
    inference(avatar_split_clause,[],[f6938,f4069,f6941]) ).

fof(f6941,plain,
    ( spl79_180
  <=> hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_180])]) ).

fof(f6938,plain,
    ( hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | ~ spl79_83 ),
    inference(resolution,[],[f4071,f2728]) ).

fof(f6909,plain,
    ( ~ spl79_178
    | ~ spl79_179
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f6899,f4965,f6906,f6902]) ).

fof(f6902,plain,
    ( spl79_178
  <=> c_Wellfounded_Owf(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_178])]) ).

fof(f6899,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))
    | ~ c_Wellfounded_Owf(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))
    | ~ spl79_132 ),
    inference(superposition,[],[f2697,f6655]) ).

fof(f2697,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Wellfounded_Owf(X0,c_Set_Oinsert(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X3),X2))
      | ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X1),c_Transitive__Closure_Ortrancl(X0,X2)) ),
    inference(cnf_transformation,[],[f1971]) ).

fof(f1971,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X1),c_Transitive__Closure_Ortrancl(X0,X2))
          & c_Wellfounded_Owf(X0,X2) )
        | ~ c_Wellfounded_Owf(X0,c_Set_Oinsert(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X3),X2)) )
      & ( c_Wellfounded_Owf(X0,c_Set_Oinsert(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X3),X2))
        | c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X1),c_Transitive__Closure_Ortrancl(X0,X2))
        | ~ c_Wellfounded_Owf(X0,X2) ) ),
    inference(rectify,[],[f1970]) ).

fof(f1970,plain,
    ! [X1,X0,X2,X3] :
      ( ( ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X0),c_Transitive__Closure_Ortrancl(X1,X2))
          & c_Wellfounded_Owf(X1,X2) )
        | ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X0,X3),X2)) )
      & ( c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X0,X3),X2))
        | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X0),c_Transitive__Closure_Ortrancl(X1,X2))
        | ~ c_Wellfounded_Owf(X1,X2) ) ),
    inference(flattening,[],[f1969]) ).

fof(f1969,plain,
    ! [X1,X0,X2,X3] :
      ( ( ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X0),c_Transitive__Closure_Ortrancl(X1,X2))
          & c_Wellfounded_Owf(X1,X2) )
        | ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X0,X3),X2)) )
      & ( c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X0,X3),X2))
        | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X0),c_Transitive__Closure_Ortrancl(X1,X2))
        | ~ c_Wellfounded_Owf(X1,X2) ) ),
    inference(nnf_transformation,[],[f540]) ).

fof(f540,plain,
    ! [X1,X0,X2,X3] :
      ( ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X0),c_Transitive__Closure_Ortrancl(X1,X2))
        & c_Wellfounded_Owf(X1,X2) )
    <=> c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X0,X3),X2)) ),
    inference(rectify,[],[f169]) ).

fof(f169,axiom,
    ! [X14,X8,X4,X15] :
      ( c_Wellfounded_Owf(X8,c_Set_Oinsert(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X14,X15),X4))
    <=> ( ~ c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X15,X14),c_Transitive__Closure_Ortrancl(X8,X4))
        & c_Wellfounded_Owf(X8,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_wf__insert) ).

fof(f6881,plain,
    ( ~ spl79_176
    | ~ spl79_177
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f6871,f3743,f6878,f6874]) ).

fof(f6874,plain,
    ( spl79_176
  <=> c_Wellfounded_Owf(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_176])]) ).

fof(f6871,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),c_Transitive__Closure_Ortrancl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ c_Wellfounded_Owf(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))
    | ~ spl79_72 ),
    inference(superposition,[],[f2697,f6826]) ).

fof(f6811,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3640,f3362,f3169]) ).

fof(f3640,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f3637,f2510]) ).

fof(f3637,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f6810,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4265,f3362,f3169]) ).

fof(f6809,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f5195,f3748,f3169]) ).

fof(f6808,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f5162,f3362,f3169]) ).

fof(f6807,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3798,f3362,f3169]) ).

fof(f6806,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f5189,f3748,f3169]) ).

fof(f5189,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_73 ),
    inference(resolution,[],[f3854,f2292]) ).

fof(f6805,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3562,f3362,f3169]) ).

fof(f3562,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f6804,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6711,f3362,f3748]) ).

fof(f6803,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3528,f3362,f3169]) ).

fof(f3528,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f6802,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3603,f3362,f3169]) ).

fof(f6801,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3802,f3362,f3748]) ).

fof(f6800,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3599,f3362,f3169]) ).

fof(f3599,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f6799,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4270,f3362,f3169]) ).

fof(f6798,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6704,f3362,f3169]) ).

fof(f6797,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3672,f3362,f3169]) ).

fof(f6796,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f6703,f3169,f3743]) ).

fof(f6795,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3730,f3362,f3748]) ).

fof(f6794,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3477,f3362,f3169]) ).

fof(f3477,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f6793,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f5155,f3362,f3169]) ).

fof(f5155,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f6792,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f5160,f3362,f3748]) ).

fof(f6791,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f5153,f3169,f3743]) ).

fof(f6790,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3803,f3362,f3169]) ).

fof(f6789,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3729,f3169,f3743]) ).

fof(f6788,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6718,f3362,f3169]) ).

fof(f6787,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4269,f3362,f3748]) ).

fof(f6786,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3492,f3362,f3169]) ).

fof(f6785,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3793,f3169,f3743]) ).

fof(f6775,plain,
    ( spl79_175
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f6768,f3096,f6772]) ).

fof(f6772,plain,
    ( spl79_175
  <=> hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_175])]) ).

fof(f6768,plain,
    ( hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2728]) ).

fof(f3098,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_10 ),
    inference(avatar_component_clause,[],[f3096]) ).

fof(f6724,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3913,f3341,f3100]) ).

fof(f6723,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4348,f3341,f3100]) ).

fof(f6722,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4774,f3341,f3100]) ).

fof(f6721,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4353,f3341,f3100]) ).

fof(f6717,plain,
    ( spl79_174
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f6710,f3362,f6714]) ).

fof(f6714,plain,
    ( spl79_174
  <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) = hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_174])]) ).

fof(f6710,plain,
    ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) = hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2728]) ).

fof(f6688,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5126,f3356,f3096]) ).

fof(f6687,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3802,f3362,f3748]) ).

fof(f6686,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4269,f3362,f3748]) ).

fof(f6685,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f5160,f3362,f3748]) ).

fof(f6684,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3730,f3362,f3748]) ).

fof(f6683,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3562,f3362,f3169]) ).

fof(f6682,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f4732,f3169,f3743]) ).

fof(f6681,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f3860,f3748,f3169]) ).

fof(f6680,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3803,f3362,f3169]) ).

fof(f6679,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3603,f3362,f3169]) ).

fof(f6678,plain,
    ( spl79_10
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5115,f3356,f3096]) ).

fof(f6677,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3566,f3362,f3169]) ).

fof(f3566,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(forward_demodulation,[],[f3563,f2510]) ).

fof(f3563,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2441]) ).

fof(f6676,plain,
    ( spl79_173
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f6670,f3100,f6673]) ).

fof(f6673,plain,
    ( spl79_173
  <=> hAPP(v_F,v_P_H____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_173])]) ).

fof(f6670,plain,
    ( hAPP(v_F,v_P_H____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2728]) ).

fof(f3101,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ spl79_11 ),
    inference(avatar_component_clause,[],[f3100]) ).

fof(f6640,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4781,f3341,f3100]) ).

fof(f6639,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4774,f3341,f3100]) ).

fof(f6638,plain,
    ( spl79_159
    | spl79_160
    | spl79_161
    | ~ spl79_8
    | ~ spl79_46 ),
    inference(avatar_split_clause,[],[f6430,f3396,f3083,f6455,f6451,f6447]) ).

fof(f6447,plain,
    ( spl79_159
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,v_P_H____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_159])]) ).

fof(f6455,plain,
    ( spl79_161
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,v_P_H____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_161])]) ).

fof(f6430,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,v_P_H____,v_c____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,v_P_H____,v_c____)))
    | ~ spl79_8
    | ~ spl79_46 ),
    inference(resolution,[],[f3397,f3085]) ).

fof(f6637,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3928,f3341,f3100]) ).

fof(f6636,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f4348,f3341,f3100]) ).

fof(f6635,plain,
    ( spl79_85
    | ~ spl79_140 ),
    inference(avatar_split_clause,[],[f6057,f5033,f4077]) ).

fof(f6634,plain,
    ( spl79_158
    | spl79_156
    | spl79_157
    | ~ spl79_46
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f6431,f3733,f3396,f6438,f6434,f6442]) ).

fof(f6434,plain,
    ( spl79_156
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_156])]) ).

fof(f6438,plain,
    ( spl79_157
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_157])]) ).

fof(f6431,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_c____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_c____)))
    | ~ spl79_46
    | ~ spl79_70 ),
    inference(resolution,[],[f3397,f3757]) ).

fof(f6633,plain,
    ( spl79_143
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5120,f3356,f5133]) ).

fof(f5133,plain,
    ( spl79_143
  <=> hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_143])]) ).

fof(f5120,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2567]) ).

fof(f6632,plain,
    ( spl79_85
    | ~ spl79_140 ),
    inference(avatar_split_clause,[],[f6051,f5033,f4077]) ).

fof(f6631,plain,
    ( spl79_155
    | ~ spl79_134 ),
    inference(avatar_split_clause,[],[f6338,f4975,f6355]) ).

fof(f6355,plain,
    ( spl79_155
  <=> hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_155])]) ).

fof(f4975,plain,
    ( spl79_134
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_134])]) ).

fof(f6338,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_134 ),
    inference(resolution,[],[f4977,f2567]) ).

fof(f4977,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))
    | ~ spl79_134 ),
    inference(avatar_component_clause,[],[f4975]) ).

fof(f6630,plain,
    ( spl79_172
    | ~ spl79_37 ),
    inference(avatar_split_clause,[],[f6576,f3283,f6627]) ).

fof(f6627,plain,
    ( spl79_172
  <=> c_Arrow__Order__Mirabelle_OProf = c_Set_Oinsert(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_172])]) ).

fof(f6576,plain,
    ( c_Arrow__Order__Mirabelle_OProf = c_Set_Oinsert(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_37 ),
    inference(resolution,[],[f2728,f3285]) ).

fof(f6625,plain,
    ( spl79_171
    | ~ spl79_82 ),
    inference(avatar_split_clause,[],[f6600,f4063,f6622]) ).

fof(f6622,plain,
    ( spl79_171
  <=> hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_171])]) ).

fof(f6600,plain,
    ( hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_82 ),
    inference(resolution,[],[f2728,f4065]) ).

fof(f4065,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_82 ),
    inference(avatar_component_clause,[],[f4063]) ).

fof(f6620,plain,
    ( spl79_170
    | ~ spl79_84 ),
    inference(avatar_split_clause,[],[f6602,f4073,f6617]) ).

fof(f6617,plain,
    ( spl79_170
  <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____))) = hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_170])]) ).

fof(f4073,plain,
    ( spl79_84
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_84])]) ).

fof(f6602,plain,
    ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____))) = hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____))
    | ~ spl79_84 ),
    inference(resolution,[],[f2728,f4075]) ).

fof(f4075,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | ~ spl79_84 ),
    inference(avatar_component_clause,[],[f4073]) ).

fof(f6615,plain,
    ( spl79_169
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f6599,f4235,f6612]) ).

fof(f6612,plain,
    ( spl79_169
  <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) = hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_169])]) ).

fof(f6599,plain,
    ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))) = hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))
    | ~ spl79_104 ),
    inference(resolution,[],[f2728,f4237]) ).

fof(f6610,plain,
    ( spl79_168
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f6598,f3169,f6607]) ).

fof(f6598,plain,
    ( hAPP(v_F,v_P____) = c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_24 ),
    inference(resolution,[],[f2728,f3170]) ).

fof(f6506,plain,
    ( ~ spl79_80
    | spl79_81
    | ~ spl79_8
    | ~ spl79_49
    | ~ spl79_120 ),
    inference(avatar_split_clause,[],[f5188,f4543,f3418,f3083,f4059,f4055]) ).

fof(f4055,plain,
    ( spl79_80
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_80])]) ).

fof(f4059,plain,
    ( spl79_81
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_81])]) ).

fof(f5188,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl79_49
    | ~ spl79_120 ),
    inference(resolution,[],[f3419,f4999]) ).

fof(f6505,plain,
    ( spl79_80
    | spl79_82
    | spl79_81
    | ~ spl79_8
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4784,f3390,f3083,f4059,f4063,f4055]) ).

fof(f4784,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_8
    | ~ spl79_45 ),
    inference(resolution,[],[f3391,f3085]) ).

fof(f6504,plain,
    ( ~ spl79_8
    | spl79_81
    | ~ spl79_80
    | ~ spl79_49
    | ~ spl79_82 ),
    inference(avatar_split_clause,[],[f5214,f4063,f3418,f4055,f4059,f3083]) ).

fof(f5214,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl79_49
    | ~ spl79_82 ),
    inference(resolution,[],[f4065,f3419]) ).

fof(f6503,plain,
    ( spl79_82
    | spl79_81
    | spl79_80
    | ~ spl79_8
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4273,f3390,f3083,f4055,f4059,f4063]) ).

fof(f4273,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_8
    | ~ spl79_45 ),
    inference(resolution,[],[f3391,f3085]) ).

fof(f6502,plain,
    ( spl79_80
    | spl79_82
    | spl79_81
    | ~ spl79_45
    | ~ spl79_71 ),
    inference(avatar_split_clause,[],[f5180,f3738,f3390,f4059,f4063,f4055]) ).

fof(f5180,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_45
    | ~ spl79_71 ),
    inference(resolution,[],[f3391,f3794]) ).

fof(f6501,plain,
    ( spl79_119
    | ~ spl79_82 ),
    inference(avatar_split_clause,[],[f5215,f4063,f4538]) ).

fof(f4538,plain,
    ( spl79_119
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_119])]) ).

fof(f5215,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_82 ),
    inference(resolution,[],[f4065,f2232]) ).

fof(f6500,plain,
    ( spl79_82
    | spl79_80
    | spl79_81
    | ~ spl79_8
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4051,f3390,f3083,f4059,f4055,f4063]) ).

fof(f4051,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_8
    | ~ spl79_45 ),
    inference(resolution,[],[f3391,f3085]) ).

fof(f6499,plain,
    ( spl79_119
    | ~ spl79_82 ),
    inference(avatar_split_clause,[],[f4534,f4063,f4538]) ).

fof(f4534,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_82 ),
    inference(resolution,[],[f4065,f2232]) ).

fof(f6498,plain,
    ( spl79_81
    | spl79_82
    | spl79_80
    | ~ spl79_45
    | ~ spl79_71 ),
    inference(avatar_split_clause,[],[f4275,f3738,f3390,f4055,f4063,f4059]) ).

fof(f4275,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_45
    | ~ spl79_71 ),
    inference(resolution,[],[f3391,f3794]) ).

fof(f6497,plain,
    ( spl79_151
    | ~ spl79_119 ),
    inference(avatar_split_clause,[],[f6264,f4538,f6271]) ).

fof(f6271,plain,
    ( spl79_151
  <=> hBOOL(hAPP(hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_151])]) ).

fof(f6264,plain,
    ( hBOOL(hAPP(hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____)))
    | ~ spl79_119 ),
    inference(resolution,[],[f4540,f2567]) ).

fof(f4540,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_119 ),
    inference(avatar_component_clause,[],[f4538]) ).

fof(f6496,plain,
    ( spl79_167
    | ~ spl79_80 ),
    inference(avatar_split_clause,[],[f6480,f4055,f6493]) ).

fof(f6493,plain,
    ( spl79_167
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_167])]) ).

fof(f6480,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))))
    | ~ spl79_80 ),
    inference(resolution,[],[f4057,f3352]) ).

fof(f4057,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_80 ),
    inference(avatar_component_clause,[],[f4055]) ).

fof(f6491,plain,
    ( spl79_166
    | ~ spl79_80 ),
    inference(avatar_split_clause,[],[f6479,f4055,f6488]) ).

fof(f6488,plain,
    ( spl79_166
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_166])]) ).

fof(f6479,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____))))
    | ~ spl79_80 ),
    inference(resolution,[],[f4057,f2441]) ).

fof(f6486,plain,
    ( spl79_165
    | ~ spl79_80 ),
    inference(avatar_split_clause,[],[f6481,f4055,f6483]) ).

fof(f6483,plain,
    ( spl79_165
  <=> hBOOL(hAPP(hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_165])]) ).

fof(f6481,plain,
    ( hBOOL(hAPP(hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_80 ),
    inference(resolution,[],[f4057,f2567]) ).

fof(f6474,plain,
    ( spl79_161
    | spl79_159
    | spl79_160
    | ~ spl79_46
    | ~ spl79_71 ),
    inference(avatar_split_clause,[],[f6432,f3738,f3396,f6451,f6447,f6455]) ).

fof(f6432,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,v_P_H____,v_c____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P_H____,sK62(v_b____,v_P_H____,v_P_H____,v_c____)))
    | ~ spl79_46
    | ~ spl79_71 ),
    inference(resolution,[],[f3397,f3794]) ).

fof(f6473,plain,
    ( spl79_158
    | spl79_157
    | spl79_156
    | ~ spl79_46
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f6431,f3733,f3396,f6434,f6438,f6442]) ).

fof(f6472,plain,
    ( spl79_162
    | spl79_163
    | spl79_164
    | ~ spl79_37
    | ~ spl79_46 ),
    inference(avatar_split_clause,[],[f6459,f3396,f3283,f6469,f6465,f6461]) ).

fof(f6461,plain,
    ( spl79_162
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_162])]) ).

fof(f6465,plain,
    ( spl79_163
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_c____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_163])]) ).

fof(f6469,plain,
    ( spl79_164
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_164])]) ).

fof(f6459,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_c____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_c____)))
    | ~ spl79_37
    | ~ spl79_46 ),
    inference(forward_demodulation,[],[f6429,f2968]) ).

fof(f6429,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_c____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK62(v_b____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_c____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_37
    | ~ spl79_46 ),
    inference(resolution,[],[f3397,f3285]) ).

fof(f6458,plain,
    ( spl79_159
    | spl79_160
    | spl79_161
    | ~ spl79_8
    | ~ spl79_46 ),
    inference(avatar_split_clause,[],[f6430,f3396,f3083,f6455,f6451,f6447]) ).

fof(f6445,plain,
    ( spl79_156
    | spl79_157
    | spl79_158
    | ~ spl79_30
    | ~ spl79_46 ),
    inference(avatar_split_clause,[],[f6428,f3396,f3201,f6442,f6438,f6434]) ).

fof(f6428,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_c____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_c____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_30
    | ~ spl79_46 ),
    inference(resolution,[],[f3397,f3203]) ).

fof(f6369,plain,
    ( ~ spl79_8
    | spl79_5
    | spl79_137
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5254,f4965,f4988,f3068,f3083]) ).

fof(f4988,plain,
    ( spl79_137
  <=> ! [X15] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,X15,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,v_P_H____,X15,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_137])]) ).

fof(f5254,plain,
    ( ! [X15] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,X15,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,v_P_H____,X15,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2683]) ).

fof(f6368,plain,
    ( ~ spl79_8
    | spl79_5
    | spl79_125
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5255,f4965,f4937,f3068,f3083]) ).

fof(f4937,plain,
    ( spl79_125
  <=> ! [X18,X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK64(v_a____,X16,X18,X17,v_P_H____,v_b____)))
        | v_b____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,v_P_H____,v_b____)))
        | v_a____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | X16 = X17 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_125])]) ).

fof(f5255,plain,
    ( ! [X18,X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,v_P_H____,v_b____)))
        | v_a____ = X16
        | v_a____ = v_b____
        | v_b____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK64(v_a____,X16,X18,X17,v_P_H____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2705]) ).

fof(f6367,plain,
    ( ~ spl79_8
    | spl79_5
    | spl79_135
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5247,f4965,f4980,f3068,f3083]) ).

fof(f4980,plain,
    ( spl79_135
  <=> ! [X2,X0,X1] :
        ( v_a____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(v_P_H____,X0,X1,v_b____,v_a____,X2)))
        | v_b____ = X1
        | X0 = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P_H____,X0,X1,v_b____,v_a____,X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_135])]) ).

fof(f5247,plain,
    ( ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P_H____,X0,X1,v_b____,v_a____,X2)))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(v_P_H____,X0,X1,v_b____,v_a____,X2)))
        | v_a____ = X0
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | X0 = X1
        | v_b____ = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2139]) ).

fof(f6366,plain,
    ( ~ spl79_8
    | spl79_5
    | spl79_130
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5249,f4965,f4957,f3068,f3083]) ).

fof(f4957,plain,
    ( spl79_130
  <=> ! [X6,X8,X7] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P_H____,X6,X7,v_b____,v_a____,X8)))
        | X6 = X7
        | v_b____ = X7
        | v_a____ = X6
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(v_P_H____,X6,X7,v_b____,v_a____,X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_130])]) ).

fof(f5249,plain,
    ( ! [X8,X6,X7] :
        ( v_a____ = X6
        | v_b____ = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(v_P_H____,X6,X7,v_b____,v_a____,X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | X6 = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P_H____,X6,X7,v_b____,v_a____,X8)))
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2141]) ).

fof(f6365,plain,
    ( ~ spl79_8
    | spl79_5
    | spl79_127
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5250,f4965,f4945,f3068,f3083]) ).

fof(f4945,plain,
    ( spl79_127
  <=> ! [X9,X11,X10] :
        ( X9 = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(X11,v_b____,v_a____,X9,X10,v_P_H____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_a____,X9,X10,v_P_H____)))
        | v_a____ = X9
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | v_b____ = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_127])]) ).

fof(f5250,plain,
    ( ! [X10,X11,X9] :
        ( v_a____ = X9
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(X11,v_b____,v_a____,X9,X10,v_P_H____)))
        | v_a____ = v_b____
        | X9 = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_a____,X9,X10,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X10 )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2142]) ).

fof(f6364,plain,
    ( ~ spl79_8
    | spl79_128
    | spl79_5
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5253,f4965,f3068,f4949,f3083]) ).

fof(f4949,plain,
    ( spl79_128
  <=> ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X14,sK62(v_b____,X14,v_P_H____,v_a____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,X14,v_P_H____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X14))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_128])]) ).

fof(f5253,plain,
    ( ! [X14] :
        ( v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X14))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X14,sK62(v_b____,X14,v_P_H____,v_a____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,X14,v_P_H____,v_a____))) )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2682]) ).

fof(f6363,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_131
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5251,f4965,f4961,f3083,f3068]) ).

fof(f4961,plain,
    ( spl79_131
  <=> ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,v_P_H____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,X12,v_P_H____,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_131])]) ).

fof(f5251,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,X12,v_P_H____,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,v_P_H____,v_a____)))
        | v_a____ = v_b____ )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2680]) ).

fof(f6362,plain,
    ( spl79_134
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5257,f4965,f4975]) ).

fof(f5257,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2441]) ).

fof(f6361,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_136
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5256,f4965,f4984,f3083,f3068]) ).

fof(f4984,plain,
    ( spl79_136
  <=> ! [X20,X21,X19] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK64(v_a____,X21,X20,X19,v_P_H____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_a____,X21,X20,X19,v_P_H____,v_b____)))
        | v_b____ = X19
        | X19 = X21
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_136])]) ).

fof(f5256,plain,
    ( ! [X21,X19,X20] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_a____,X21,X20,X19,v_P_H____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | X19 = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X19
        | v_a____ = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK64(v_a____,X21,X20,X19,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20)) )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2706]) ).

fof(f6360,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_129
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5252,f4965,f4953,f3083,f3068]) ).

fof(f4953,plain,
    ( spl79_129
  <=> ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,X13,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,v_P_H____,X13,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_129])]) ).

fof(f5252,plain,
    ( ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,v_P_H____,X13,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,X13,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____ )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2681]) ).

fof(f6359,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_126
    | ~ spl79_132 ),
    inference(avatar_split_clause,[],[f5248,f4965,f4941,f3083,f3068]) ).

fof(f4941,plain,
    ( spl79_126
  <=> ! [X4,X5,X3] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | X3 = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,v_P_H____)))
        | v_a____ = X3
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(X5,v_b____,v_a____,X3,X4,v_P_H____)))
        | v_b____ = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_126])]) ).

fof(f5248,plain,
    ( ! [X3,X4,X5] :
        ( v_b____ = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(X5,v_b____,v_a____,X3,X4,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | v_a____ = X3
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | X3 = X4 )
    | ~ spl79_132 ),
    inference(resolution,[],[f5246,f2140]) ).

fof(f6358,plain,
    ( spl79_155
    | ~ spl79_134 ),
    inference(avatar_split_clause,[],[f6338,f4975,f6355]) ).

fof(f6353,plain,
    ( spl79_153
    | ~ spl79_134 ),
    inference(avatar_split_clause,[],[f6352,f4975,f6340]) ).

fof(f6340,plain,
    ( spl79_153
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_153])]) ).

fof(f6352,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))
    | ~ spl79_134 ),
    inference(forward_demodulation,[],[f6337,f2510]) ).

fof(f6337,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))))
    | ~ spl79_134 ),
    inference(resolution,[],[f4977,f3352]) ).

fof(f6351,plain,
    ( spl79_154
    | ~ spl79_134 ),
    inference(avatar_split_clause,[],[f6335,f4975,f6348]) ).

fof(f6348,plain,
    ( spl79_154
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_154])]) ).

fof(f6335,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))),hAPP(v_F,v_P_H____))
    | ~ spl79_134 ),
    inference(resolution,[],[f4977,f2404]) ).

fof(f6343,plain,
    ( spl79_153
    | ~ spl79_134 ),
    inference(avatar_split_clause,[],[f6336,f4975,f6340]) ).

fof(f6336,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))
    | ~ spl79_134 ),
    inference(resolution,[],[f4977,f2405]) ).

fof(f6280,plain,
    ( spl79_119
    | ~ spl79_120 ),
    inference(avatar_split_clause,[],[f5000,f4543,f4538]) ).

fof(f5000,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_120 ),
    inference(resolution,[],[f4999,f2232]) ).

fof(f6279,plain,
    ( spl79_152
    | ~ spl79_119 ),
    inference(avatar_split_clause,[],[f6262,f4538,f6276]) ).

fof(f6276,plain,
    ( spl79_152
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_152])]) ).

fof(f6262,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____))))
    | ~ spl79_119 ),
    inference(resolution,[],[f4540,f2441]) ).

fof(f6274,plain,
    ( spl79_151
    | ~ spl79_119 ),
    inference(avatar_split_clause,[],[f6264,f4538,f6271]) ).

fof(f6269,plain,
    ( spl79_150
    | ~ spl79_119 ),
    inference(avatar_split_clause,[],[f6263,f4538,f6266]) ).

fof(f6266,plain,
    ( spl79_150
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_150])]) ).

fof(f6263,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))))
    | ~ spl79_119 ),
    inference(resolution,[],[f4540,f3352]) ).

fof(f5531,plain,
    ( spl79_116
    | spl79_85
    | spl79_115
    | ~ spl79_30
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f5182,f3403,f3201,f4303,f4077,f4307]) ).

fof(f4307,plain,
    ( spl79_116
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_116])]) ).

fof(f5182,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_30
    | ~ spl79_47 ),
    inference(resolution,[],[f3404,f3203]) ).

fof(f5530,plain,
    ( spl79_85
    | spl79_116
    | spl79_115
    | ~ spl79_47
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f5185,f3733,f3403,f4303,f4307,f4077]) ).

fof(f5185,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_47
    | ~ spl79_70 ),
    inference(resolution,[],[f3404,f3757]) ).

fof(f5529,plain,
    ( spl79_115
    | spl79_116
    | spl79_85
    | ~ spl79_47
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f4790,f3733,f3403,f4077,f4307,f4303]) ).

fof(f4790,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | ~ spl79_47
    | ~ spl79_70 ),
    inference(resolution,[],[f3404,f3757]) ).

fof(f5528,plain,
    ( spl79_149
    | ~ spl79_116 ),
    inference(avatar_split_clause,[],[f5512,f4307,f5525]) ).

fof(f5525,plain,
    ( spl79_149
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_149])]) ).

fof(f5512,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))))
    | ~ spl79_116 ),
    inference(resolution,[],[f4309,f3352]) ).

fof(f4309,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | ~ spl79_116 ),
    inference(avatar_component_clause,[],[f4307]) ).

fof(f5523,plain,
    ( spl79_148
    | ~ spl79_116 ),
    inference(avatar_split_clause,[],[f5513,f4307,f5520]) ).

fof(f5520,plain,
    ( spl79_148
  <=> hBOOL(hAPP(hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_148])]) ).

fof(f5513,plain,
    ( hBOOL(hAPP(hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_116 ),
    inference(resolution,[],[f4309,f2567]) ).

fof(f5518,plain,
    ( spl79_147
    | ~ spl79_116 ),
    inference(avatar_split_clause,[],[f5511,f4307,f5515]) ).

fof(f5515,plain,
    ( spl79_147
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_147])]) ).

fof(f5511,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____))))
    | ~ spl79_116 ),
    inference(resolution,[],[f4309,f2441]) ).

fof(f5245,plain,
    ( spl79_132
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4935,f4059,f4965]) ).

fof(f4935,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P_H____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2567]) ).

fof(f4061,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl79_81 ),
    inference(avatar_component_clause,[],[f4059]) ).

fof(f5244,plain,
    ( spl79_114
    | spl79_81
    | spl79_113
    | ~ spl79_47
    | ~ spl79_71 ),
    inference(avatar_split_clause,[],[f5186,f3738,f3403,f4293,f4059,f4297]) ).

fof(f4297,plain,
    ( spl79_114
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_114])]) ).

fof(f5186,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl79_47
    | ~ spl79_71 ),
    inference(resolution,[],[f3404,f3794]) ).

fof(f5243,plain,
    ( spl79_81
    | spl79_113
    | spl79_114
    | ~ spl79_8
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f4279,f3403,f3083,f4297,f4293,f4059]) ).

fof(f4279,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)))
    | ~ spl79_8
    | ~ spl79_47 ),
    inference(resolution,[],[f3404,f3085]) ).

fof(f5242,plain,
    ( spl79_146
    | ~ spl79_114 ),
    inference(avatar_split_clause,[],[f5226,f4297,f5239]) ).

fof(f5239,plain,
    ( spl79_146
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_146])]) ).

fof(f5226,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)))))
    | ~ spl79_114 ),
    inference(resolution,[],[f4299,f3352]) ).

fof(f4299,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)))
    | ~ spl79_114 ),
    inference(avatar_component_clause,[],[f4297]) ).

fof(f5237,plain,
    ( spl79_145
    | ~ spl79_114 ),
    inference(avatar_split_clause,[],[f5227,f4297,f5234]) ).

fof(f5234,plain,
    ( spl79_145
  <=> hBOOL(hAPP(hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_145])]) ).

fof(f5227,plain,
    ( hBOOL(hAPP(hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_114 ),
    inference(resolution,[],[f4299,f2567]) ).

fof(f5232,plain,
    ( spl79_144
    | ~ spl79_114 ),
    inference(avatar_split_clause,[],[f5225,f4297,f5229]) ).

fof(f5229,plain,
    ( spl79_144
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_144])]) ).

fof(f5225,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____))))
    | ~ spl79_114 ),
    inference(resolution,[],[f4299,f2441]) ).

fof(f5140,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f4732,f3169,f3743]) ).

fof(f5139,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3729,f3169,f3743]) ).

fof(f5138,plain,
    ( spl79_141
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5137,f3356,f5122]) ).

fof(f5122,plain,
    ( spl79_141
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_141])]) ).

fof(f5137,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
    | ~ spl79_43 ),
    inference(forward_demodulation,[],[f5119,f2510]) ).

fof(f5119,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f3352]) ).

fof(f5136,plain,
    ( spl79_143
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5120,f3356,f5133]) ).

fof(f5131,plain,
    ( spl79_142
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5117,f3356,f5128]) ).

fof(f5128,plain,
    ( spl79_142
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_142])]) ).

fof(f5117,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2404]) ).

fof(f5125,plain,
    ( spl79_141
    | ~ spl79_43 ),
    inference(avatar_split_clause,[],[f5118,f3356,f5122]) ).

fof(f5118,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
    | ~ spl79_43 ),
    inference(resolution,[],[f3358,f2405]) ).

fof(f5048,plain,
    ( ~ spl79_30
    | spl79_5
    | spl79_105
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4856,f4244,f4240,f3068,f3201]) ).

fof(f4240,plain,
    ( spl79_105
  <=> ! [X9,X11,X10] :
        ( X9 = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(X11,v_b____,v_a____,X9,X10,v_P____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_a____,X9,X10,v_P____)))
        | v_b____ = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X9 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_105])]) ).

fof(f4856,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_a____,X9,X10,v_P____)))
        | v_a____ = v_b____
        | v_a____ = X9
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(X11,v_b____,v_a____,X9,X10,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | X9 = X10 )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2142]) ).

fof(f4798,plain,
    ( ! [X0] : c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_106 ),
    inference(resolution,[],[f4246,f2566]) ).

fof(f4246,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_106 ),
    inference(avatar_component_clause,[],[f4244]) ).

fof(f5047,plain,
    ( ~ spl79_30
    | spl79_5
    | spl79_101
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4853,f4244,f4223,f3068,f3201]) ).

fof(f4223,plain,
    ( spl79_101
  <=> ! [X2,X0,X1] :
        ( X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_b____,v_a____,X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_a____ = X0
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(v_P____,X0,X1,v_b____,v_a____,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_101])]) ).

fof(f4853,plain,
    ( ! [X2,X0,X1] :
        ( v_b____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_a____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_b____,v_a____,X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(v_P____,X0,X1,v_b____,v_a____,X2)))
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | X0 = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2139]) ).

fof(f5046,plain,
    ( spl79_5
    | spl79_110
    | ~ spl79_30
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4855,f4244,f3201,f4261,f3068]) ).

fof(f4261,plain,
    ( spl79_110
  <=> ! [X6,X7,X8] :
        ( X6 = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,v_b____,v_a____,X8)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(v_P____,X6,X7,v_b____,v_a____,X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | v_b____ = X7
        | v_a____ = X6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_110])]) ).

fof(f4855,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X7
        | X6 = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(v_P____,X6,X7,v_b____,v_a____,X8)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,v_b____,v_a____,X8)))
        | v_a____ = X6
        | v_a____ = v_b____ )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2141]) ).

fof(f5045,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_109
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4860,f4244,f4257,f3201,f3068]) ).

fof(f4257,plain,
    ( spl79_109
  <=> ! [X15] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,X15,v_b____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,v_P____,X15,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_109])]) ).

fof(f4860,plain,
    ( ! [X15] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,v_P____,X15,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,X15,v_b____)))
        | v_a____ = v_b____ )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2683]) ).

fof(f5044,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_108
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4858,f4244,f4253,f3201,f3068]) ).

fof(f4253,plain,
    ( spl79_108
  <=> ! [X13] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,v_P____,X13,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,X13,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_108])]) ).

fof(f4858,plain,
    ( ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,v_P____,X13,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,X13,v_b____))) )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2681]) ).

fof(f5043,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_100
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4862,f4244,f4219,f3201,f3068]) ).

fof(f4219,plain,
    ( spl79_100
  <=> ! [X20,X21,X19] :
        ( X19 = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_a____,X21,X20,X19,v_P____,v_b____)))
        | v_b____ = X19
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X21
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK64(v_a____,X21,X20,X19,v_P____,v_b____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_100])]) ).

fof(f4862,plain,
    ( ! [X21,X19,X20] :
        ( X19 = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK64(v_a____,X21,X20,X19,v_P____,v_b____)))
        | v_a____ = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X19
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_a____,X21,X20,X19,v_P____,v_b____))) )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2706]) ).

fof(f5042,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_99
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4861,f4244,f4215,f3201,f3068]) ).

fof(f4215,plain,
    ( spl79_99
  <=> ! [X18,X16,X17] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK64(v_a____,X16,X18,X17,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,v_P____,v_b____)))
        | X16 = X17
        | v_a____ = X16
        | v_b____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_99])]) ).

fof(f4861,plain,
    ( ! [X18,X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | v_a____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK64(v_a____,X16,X18,X17,v_P____,v_b____)))
        | X16 = X17
        | v_b____ = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____ )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2705]) ).

fof(f5041,plain,
    ( spl79_104
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4863,f4244,f4235]) ).

fof(f4863,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2441]) ).

fof(f5040,plain,
    ( ~ spl79_30
    | spl79_5
    | spl79_107
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4859,f4244,f4249,f3068,f3201]) ).

fof(f4249,plain,
    ( spl79_107
  <=> ! [X14] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X14))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,X14,v_P____,v_a____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X14,sK62(v_b____,X14,v_P____,v_a____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_107])]) ).

fof(f4859,plain,
    ( ! [X14] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X14))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,X14,v_P____,v_a____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X14,sK62(v_b____,X14,v_P____,v_a____)))
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2682]) ).

fof(f5039,plain,
    ( ~ spl79_30
    | spl79_103
    | spl79_5
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4857,f4244,f3068,f4231,f3201]) ).

fof(f4231,plain,
    ( spl79_103
  <=> ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,v_P____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,X12,v_P____,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_103])]) ).

fof(f4857,plain,
    ( ! [X12] :
        ( v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,X12,v_P____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,v_P____,v_a____))) )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2680]) ).

fof(f5038,plain,
    ( ~ spl79_30
    | spl79_102
    | spl79_5
    | ~ spl79_106 ),
    inference(avatar_split_clause,[],[f4854,f4244,f3068,f4227,f3201]) ).

fof(f4227,plain,
    ( spl79_102
  <=> ! [X4,X5,X3] :
        ( X3 = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,v_P____)))
        | v_a____ = X3
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(X5,v_b____,v_a____,X3,X4,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | v_b____ = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_102])]) ).

fof(f4854,plain,
    ( ! [X3,X4,X5] :
        ( v_a____ = v_b____
        | v_a____ = X3
        | v_b____ = X4
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(X5,v_b____,v_a____,X3,X4,v_P____)))
        | X3 = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,v_P____))) )
    | ~ spl79_106 ),
    inference(resolution,[],[f4798,f2140]) ).

fof(f5037,plain,
    ( spl79_138
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5017,f4235,f5022]) ).

fof(f5022,plain,
    ( spl79_138
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_138])]) ).

fof(f5017,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_104 ),
    inference(resolution,[],[f4237,f2405]) ).

fof(f5036,plain,
    ( spl79_140
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5019,f4235,f5033]) ).

fof(f5030,plain,
    ( spl79_139
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5016,f4235,f5027]) ).

fof(f5027,plain,
    ( spl79_139
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_139])]) ).

fof(f5016,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_104 ),
    inference(resolution,[],[f4237,f2404]) ).

fof(f5025,plain,
    ( spl79_138
    | ~ spl79_104 ),
    inference(avatar_split_clause,[],[f5020,f4235,f5022]) ).

fof(f5020,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_104 ),
    inference(forward_demodulation,[],[f5018,f2510]) ).

fof(f5018,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))))
    | ~ spl79_104 ),
    inference(resolution,[],[f4237,f3352]) ).

fof(f4992,plain,
    ( spl79_120
    | ~ spl79_82 ),
    inference(avatar_split_clause,[],[f4536,f4063,f4543]) ).

fof(f4536,plain,
    ( hBOOL(hAPP(hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____)))
    | ~ spl79_82 ),
    inference(resolution,[],[f4065,f2567]) ).

fof(f4991,plain,
    ( spl79_119
    | ~ spl79_82 ),
    inference(avatar_split_clause,[],[f4534,f4063,f4538]) ).

fof(f4990,plain,
    ( spl79_5
    | spl79_137
    | ~ spl79_8
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4930,f4059,f3083,f4988,f3068]) ).

fof(f4930,plain,
    ( ! [X15] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15))
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,v_P_H____,X15,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,X15,v_b____))) )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2683]) ).

fof(f4986,plain,
    ( spl79_136
    | spl79_5
    | ~ spl79_8
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4932,f4059,f3083,f3068,f4984]) ).

fof(f4932,plain,
    ( ! [X21,X19,X20] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK64(v_a____,X21,X20,X19,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | X19 = X21
        | v_b____ = X19
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_a____,X21,X20,X19,v_P_H____,v_b____)))
        | v_a____ = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2706]) ).

fof(f4982,plain,
    ( ~ spl79_8
    | spl79_135
    | spl79_5
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4923,f4059,f3068,f4980,f3083]) ).

fof(f4923,plain,
    ( ! [X2,X0,X1] :
        ( v_a____ = v_b____
        | v_a____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P_H____,X0,X1,v_b____,v_a____,X2)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | X0 = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(v_P_H____,X0,X1,v_b____,v_a____,X2))) )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2139]) ).

fof(f4978,plain,
    ( spl79_134
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4933,f4059,f4975]) ).

fof(f4933,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2441]) ).

fof(f4973,plain,
    ( spl79_133
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4934,f4059,f4970]) ).

fof(f4970,plain,
    ( spl79_133
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_133])]) ).

fof(f4934,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))))
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f3352]) ).

fof(f4968,plain,
    ( spl79_132
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4935,f4059,f4965]) ).

fof(f4963,plain,
    ( ~ spl79_8
    | spl79_131
    | spl79_5
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4927,f4059,f3068,f4961,f3083]) ).

fof(f4927,plain,
    ( ! [X12] :
        ( v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,v_P_H____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,X12,v_P_H____,v_a____))) )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2680]) ).

fof(f4959,plain,
    ( spl79_5
    | spl79_130
    | ~ spl79_8
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4925,f4059,f3083,f4957,f3068]) ).

fof(f4925,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(v_P_H____,X6,X7,v_b____,v_a____,X8)))
        | v_a____ = X6
        | v_b____ = X7
        | X6 = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P_H____,X6,X7,v_b____,v_a____,X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____ )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2141]) ).

fof(f4955,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_129
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4928,f4059,f4953,f3083,f3068]) ).

fof(f4928,plain,
    ( ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,X13,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,v_P_H____,X13,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2681]) ).

fof(f4951,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_128
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4929,f4059,f4949,f3083,f3068]) ).

fof(f4929,plain,
    ( ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X14,sK62(v_b____,X14,v_P_H____,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X14))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,X14,v_P_H____,v_a____)))
        | v_a____ = v_b____ )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2682]) ).

fof(f4947,plain,
    ( ~ spl79_8
    | spl79_5
    | spl79_127
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4926,f4059,f4945,f3068,f3083]) ).

fof(f4926,plain,
    ( ! [X10,X11,X9] :
        ( X9 = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | v_a____ = X9
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_a____,X9,X10,v_P_H____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(X11,v_b____,v_a____,X9,X10,v_P_H____))) )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2142]) ).

fof(f4943,plain,
    ( ~ spl79_8
    | spl79_5
    | spl79_126
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4924,f4059,f4941,f3068,f3083]) ).

fof(f4924,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK7(X5,v_b____,v_a____,X3,X4,v_P_H____)))
        | v_a____ = X3
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,v_P_H____)))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | X3 = X4
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2140]) ).

fof(f4939,plain,
    ( spl79_5
    | ~ spl79_8
    | spl79_125
    | ~ spl79_81 ),
    inference(avatar_split_clause,[],[f4931,f4059,f4937,f3083,f3068]) ).

fof(f4931,plain,
    ( ! [X18,X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK64(v_a____,X16,X18,X17,v_P_H____,v_b____)))
        | X16 = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | v_a____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,v_P_H____,v_b____)))
        | v_a____ = v_b____
        | v_b____ = X17 )
    | ~ spl79_81 ),
    inference(resolution,[],[f4061,f2705]) ).

fof(f4820,plain,
    ( spl79_44
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f4816,f3743,f3362]) ).

fof(f4816,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2441]) ).

fof(f4819,plain,
    ( spl79_24
    | ~ spl79_72 ),
    inference(avatar_contradiction_clause,[],[f4805]) ).

fof(f4805,plain,
    ( $false
    | spl79_24
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f3171]) ).

fof(f3171,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | spl79_24 ),
    inference(avatar_component_clause,[],[f3169]) ).

fof(f4737,plain,
    ( spl79_124
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f4731,f3169,f4734]) ).

fof(f4734,plain,
    ( spl79_124
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_124])]) ).

fof(f4731,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____))))
    | ~ spl79_24 ),
    inference(resolution,[],[f3170,f3352]) ).

fof(f4718,plain,
    ( spl79_114
    | spl79_81
    | spl79_113
    | ~ spl79_8
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f4279,f3403,f3083,f4293,f4059,f4297]) ).

fof(f4717,plain,
    ( spl79_80
    | spl79_82
    | spl79_81
    | ~ spl79_8
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4051,f3390,f3083,f4059,f4063,f4055]) ).

fof(f4716,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3603,f3362,f3169]) ).

fof(f4715,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3636,f3362,f3169]) ).

fof(f3636,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2292]) ).

fof(f4714,plain,
    ( spl79_81
    | spl79_80
    | spl79_82
    | ~ spl79_45
    | ~ spl79_71 ),
    inference(avatar_split_clause,[],[f4053,f3738,f3390,f4063,f4055,f4059]) ).

fof(f4053,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_a____,v_P_H____,v_P____,v_b____)))
    | ~ spl79_45
    | ~ spl79_71 ),
    inference(resolution,[],[f3391,f3794]) ).

fof(f4713,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4265,f3362,f3169]) ).

fof(f4712,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3492,f3362,f3169]) ).

fof(f4711,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3528,f3362,f3169]) ).

fof(f4710,plain,
    ( spl79_81
    | spl79_80
    | spl79_82
    | ~ spl79_8
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4273,f3390,f3083,f4063,f4055,f4059]) ).

fof(f4709,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3729,f3169,f3743]) ).

fof(f4708,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3477,f3362,f3169]) ).

fof(f4707,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f4270,f3362,f3169]) ).

fof(f4706,plain,
    ( spl79_83
    | spl79_85
    | spl79_84
    | ~ spl79_45
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f4052,f3733,f3390,f4073,f4077,f4069]) ).

fof(f4052,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_45
    | ~ spl79_70 ),
    inference(resolution,[],[f3391,f3757]) ).

fof(f4705,plain,
    ( spl79_83
    | spl79_84
    | spl79_85
    | ~ spl79_30
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4271,f3390,f3201,f4077,f4073,f4069]) ).

fof(f4271,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_30
    | ~ spl79_45 ),
    inference(resolution,[],[f3391,f3203]) ).

fof(f4704,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3798,f3362,f3169]) ).

fof(f4703,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3599,f3362,f3169]) ).

fof(f4702,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f3860,f3748,f3169]) ).

fof(f4701,plain,
    ( spl79_85
    | spl79_115
    | spl79_116
    | ~ spl79_47
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f4280,f3733,f3403,f4307,f4303,f4077]) ).

fof(f4280,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_47
    | ~ spl79_70 ),
    inference(resolution,[],[f3404,f3757]) ).

fof(f4700,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3640,f3362,f3169]) ).

fof(f4699,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3532,f3362,f3169]) ).

fof(f4698,plain,
    ( spl79_85
    | spl79_83
    | spl79_84
    | ~ spl79_30
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4049,f3390,f3201,f4073,f4069,f4077]) ).

fof(f4049,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_30
    | ~ spl79_45 ),
    inference(resolution,[],[f3391,f3203]) ).

fof(f4697,plain,
    ( spl79_114
    | spl79_81
    | spl79_113
    | ~ spl79_47
    | ~ spl79_71 ),
    inference(avatar_split_clause,[],[f4281,f3738,f3403,f4293,f4059,f4297]) ).

fof(f4281,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P_H____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P_H____,sK62(v_b____,v_P____,v_P_H____,v_a____)))
    | ~ spl79_47
    | ~ spl79_71 ),
    inference(resolution,[],[f3404,f3794]) ).

fof(f4696,plain,
    ( spl79_115
    | spl79_116
    | spl79_85
    | ~ spl79_30
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f4277,f3403,f3201,f4077,f4307,f4303]) ).

fof(f4277,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,v_P____,v_P____,v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))
    | ~ spl79_30
    | ~ spl79_47 ),
    inference(resolution,[],[f3404,f3203]) ).

fof(f4695,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3676,f3362,f3169]) ).

fof(f4694,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3793,f3169,f3743]) ).

fof(f4693,plain,
    ( spl79_123
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f4667,f3100,f4690]) ).

fof(f4690,plain,
    ( spl79_123
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_123])]) ).

fof(f4667,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____))))
    | ~ spl79_11 ),
    inference(resolution,[],[f3352,f3101]) ).

fof(f4688,plain,
    ( spl79_122
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4668,f3096,f4685]) ).

fof(f4685,plain,
    ( spl79_122
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_122])]) ).

fof(f4668,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
    | ~ spl79_10 ),
    inference(resolution,[],[f3352,f3098]) ).

fof(f4551,plain,
    ( spl79_121
    | ~ spl79_82 ),
    inference(avatar_split_clause,[],[f4535,f4063,f4548]) ).

fof(f4548,plain,
    ( spl79_121
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_121])]) ).

fof(f4535,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P_H____,v_P____,v_b____))))
    | ~ spl79_82 ),
    inference(resolution,[],[f4065,f2441]) ).

fof(f4546,plain,
    ( spl79_120
    | ~ spl79_82 ),
    inference(avatar_split_clause,[],[f4536,f4063,f4543]) ).

fof(f4541,plain,
    ( spl79_119
    | ~ spl79_82 ),
    inference(avatar_split_clause,[],[f4534,f4063,f4538]) ).

fof(f4376,plain,
    ( spl79_118
    | ~ spl79_84 ),
    inference(avatar_split_clause,[],[f4365,f4073,f4373]) ).

fof(f4373,plain,
    ( spl79_118
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_118])]) ).

fof(f4365,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____))))
    | ~ spl79_84 ),
    inference(resolution,[],[f4075,f2441]) ).

fof(f4371,plain,
    ( spl79_117
    | ~ spl79_84 ),
    inference(avatar_split_clause,[],[f4366,f4073,f4368]) ).

fof(f4368,plain,
    ( spl79_117
  <=> hBOOL(hAPP(hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_117])]) ).

fof(f4366,plain,
    ( hBOOL(hAPP(hAPP(v_P____,sK62(v_a____,v_P____,v_P____,v_b____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_84 ),
    inference(resolution,[],[f4075,f2567]) ).

fof(f4313,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3928,f3341,f3100]) ).

fof(f4312,plain,
    ( spl79_97
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4130,f3096,f4177]) ).

fof(f4177,plain,
    ( spl79_97
  <=> hBOOL(hAPP(hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_97])]) ).

fof(f4130,plain,
    ( hBOOL(hAPP(hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____)))
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2567]) ).

fof(f4311,plain,
    ( spl79_116
    | spl79_115
    | spl79_85
    | ~ spl79_30
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f4277,f3403,f3201,f4077,f4303,f4307]) ).

fof(f4310,plain,
    ( spl79_85
    | spl79_115
    | spl79_116
    | ~ spl79_47
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f4280,f3733,f3403,f4307,f4303,f4077]) ).

fof(f4301,plain,
    ( spl79_113
    | spl79_114
    | spl79_81
    | ~ spl79_8
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f4279,f3403,f3083,f4059,f4297,f4293]) ).

fof(f4300,plain,
    ( spl79_113
    | spl79_114
    | spl79_81
    | ~ spl79_47
    | ~ spl79_71 ),
    inference(avatar_split_clause,[],[f4281,f3738,f3403,f4059,f4297,f4293]) ).

fof(f4291,plain,
    ( spl79_111
    | spl79_112
    | spl79_10
    | ~ spl79_37
    | ~ spl79_47 ),
    inference(avatar_split_clause,[],[f4282,f3403,f3283,f3096,f4288,f4284]) ).

fof(f4282,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))))
    | ~ spl79_37
    | ~ spl79_47 ),
    inference(forward_demodulation,[],[f4278,f2968]) ).

fof(f4278,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK62(v_b____,v_P____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
    | ~ spl79_37
    | ~ spl79_47 ),
    inference(resolution,[],[f3404,f3285]) ).

fof(f4264,plain,
    ( spl79_83
    | spl79_85
    | spl79_84
    | ~ spl79_45
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f4052,f3733,f3390,f4073,f4077,f4069]) ).

fof(f4263,plain,
    ( ~ spl79_30
    | spl79_5
    | spl79_110
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4204,f4077,f4261,f3068,f3201]) ).

fof(f4204,plain,
    ( ! [X8,X6,X7] :
        ( X6 = X7
        | v_a____ = X6
        | v_b____ = X7
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(v_P____,X6,X7,v_b____,v_a____,X8)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,v_b____,v_a____,X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2141]) ).

fof(f4259,plain,
    ( ~ spl79_30
    | spl79_109
    | spl79_5
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4209,f4077,f3068,f4257,f3201]) ).

fof(f4209,plain,
    ( ! [X15] :
        ( v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,v_P____,X15,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,X15,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2683]) ).

fof(f4255,plain,
    ( spl79_5
    | spl79_108
    | ~ spl79_30
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4207,f4077,f3201,f4253,f3068]) ).

fof(f4207,plain,
    ( ! [X13] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_a____,v_P____,X13,v_b____)))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,v_P____,X13,v_b____))) )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2681]) ).

fof(f4251,plain,
    ( spl79_107
    | spl79_5
    | ~ spl79_30
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4208,f4077,f3201,f3068,f4249]) ).

fof(f4208,plain,
    ( ! [X14] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X14))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X14,sK62(v_b____,X14,v_P____,v_a____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,X14,v_P____,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2682]) ).

fof(f4247,plain,
    ( spl79_106
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4213,f4077,f4244]) ).

fof(f4242,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_105
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4205,f4077,f4240,f3201,f3068]) ).

fof(f4205,plain,
    ( ! [X10,X11,X9] :
        ( X9 = X10
        | v_a____ = X9
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X10
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_a____,X9,X10,v_P____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(X11,v_b____,v_a____,X9,X10,v_P____))) )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2142]) ).

fof(f4238,plain,
    ( spl79_104
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4212,f4077,f4235]) ).

fof(f4212,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2441]) ).

fof(f4233,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_103
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4206,f4077,f4231,f3201,f3068]) ).

fof(f4206,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,v_P____,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK62(v_b____,X12,v_P____,v_a____)))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12)) )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2680]) ).

fof(f4229,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_102
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4203,f4077,f4227,f3201,f3068]) ).

fof(f4203,plain,
    ( ! [X3,X4,X5] :
        ( X3 = X4
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(X5,v_b____,v_a____,X3,X4,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X3
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,v_P____))) )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2140]) ).

fof(f4225,plain,
    ( ~ spl79_30
    | spl79_5
    | spl79_101
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4202,f4077,f4223,f3068,f3201]) ).

fof(f4202,plain,
    ( ! [X2,X0,X1] :
        ( X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK7(v_P____,X0,X1,v_b____,v_a____,X2)))
        | v_b____ = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X0
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_b____,v_a____,X2))) )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2139]) ).

fof(f4221,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_100
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4211,f4077,f4219,f3201,f3068]) ).

fof(f4211,plain,
    ( ! [X21,X19,X20] :
        ( X19 = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK64(v_a____,X21,X20,X19,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | v_a____ = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X19
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_a____,X21,X20,X19,v_P____,v_b____))) )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2706]) ).

fof(f4217,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_99
    | ~ spl79_85 ),
    inference(avatar_split_clause,[],[f4210,f4077,f4215,f3201,f3068]) ).

fof(f4210,plain,
    ( ! [X18,X16,X17] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X16
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_P____,sK64(v_a____,X16,X18,X17,v_P____,v_b____)))
        | v_a____ = v_b____ )
    | ~ spl79_85 ),
    inference(resolution,[],[f4079,f2705]) ).

fof(f4188,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3802,f3362,f3748]) ).

fof(f4187,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3803,f3362,f3169]) ).

fof(f4186,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3730,f3362,f3748]) ).

fof(f4185,plain,
    ( ~ spl79_37
    | spl79_5
    | spl79_98
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4181,f3096,f4183,f3068,f3283]) ).

fof(f4181,plain,
    ( ! [X3,X4,X5] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | X3 = X4
        | v_a____ = v_b____
        | v_b____ = X4
        | v_a____ = X3
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(X5,v_b____,v_a____,X3,X4,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4120,f2968]) ).

fof(f4120,plain,
    ( ! [X3,X4,X5] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_b____,v_a____,X3,X4,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | v_b____ = X4
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | X3 = X4
        | v_a____ = X3
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK7(X5,v_b____,v_a____,X3,X4,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))) )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2140]) ).

fof(f4180,plain,
    ( spl79_97
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4130,f3096,f4177]) ).

fof(f4175,plain,
    ( ~ spl79_37
    | spl79_5
    | spl79_96
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4171,f3096,f4173,f3068,f3283]) ).

fof(f4171,plain,
    ( ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0,X1,v_b____,v_a____,X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_a____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0,X1,v_b____,v_a____,X2))))
        | v_a____ = v_b____
        | v_b____ = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | X0 = X1 )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4119,f2968]) ).

fof(f4119,plain,
    ( ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0,X1,v_b____,v_a____,X2)))
        | v_b____ = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X0,X1,v_b____,v_a____,X2)))
        | v_a____ = X0
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____ )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2139]) ).

fof(f4170,plain,
    ( ~ spl79_37
    | spl79_5
    | spl79_95
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4166,f3096,f4168,f3068,f3283]) ).

fof(f4166,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,X12,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))) )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4123,f2968]) ).

fof(f4123,plain,
    ( ! [X12] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X12))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK62(v_b____,X12,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X12,sK62(v_b____,X12,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2680]) ).

fof(f4165,plain,
    ( ~ spl79_37
    | spl79_5
    | spl79_94
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4161,f3096,f4163,f3068,f3283]) ).

fof(f4161,plain,
    ( ! [X18,X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | v_b____ = X17
        | v_a____ = X16
        | X16 = X17
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK64(v_a____,X16,X18,X17,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))) )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4127,f2968]) ).

fof(f4127,plain,
    ( ! [X18,X16,X17] :
        ( v_b____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_a____,X16,X18,X17,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | v_a____ = v_b____
        | v_a____ = X16
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK64(v_a____,X16,X18,X17,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))) )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2705]) ).

fof(f4160,plain,
    ( ~ spl79_37
    | spl79_5
    | spl79_93
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4156,f3096,f4158,f3068,f3283]) ).

fof(f4158,plain,
    ( spl79_93
  <=> ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X14,sK62(v_b____,X14,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X14))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,X14,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_93])]) ).

fof(f4156,plain,
    ( ! [X14] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X14,sK62(v_b____,X14,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_b____,X14,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X14)) )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4125,f2968]) ).

fof(f4125,plain,
    ( ! [X14] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X14))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK62(v_b____,X14,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X14,sK62(v_b____,X14,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_a____))) )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2682]) ).

fof(f4155,plain,
    ( spl79_5
    | ~ spl79_37
    | spl79_92
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4151,f3096,f4153,f3283,f3068]) ).

fof(f4153,plain,
    ( spl79_92
  <=> ! [X20,X21,X19] :
        ( X19 = X21
        | v_a____ = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_a____,X21,X20,X19,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | v_b____ = X19
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK64(v_a____,X21,X20,X19,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_92])]) ).

fof(f4151,plain,
    ( ! [X21,X19,X20] :
        ( X19 = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK64(v_a____,X21,X20,X19,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____))))
        | v_b____ = X19
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_a____,X21,X20,X19,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____ )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4128,f2968]) ).

fof(f4128,plain,
    ( ! [X21,X19,X20] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK64(v_a____,X21,X20,X19,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | v_b____ = X19
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | X19 = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_a____,X21,X20,X19,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____)))
        | v_a____ = X21
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2706]) ).

fof(f4150,plain,
    ( spl79_5
    | ~ spl79_37
    | spl79_91
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4146,f3096,f4148,f3283,f3068]) ).

fof(f4148,plain,
    ( spl79_91
  <=> ! [X6,X8,X7] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X6,X7,v_b____,v_a____,X8)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | v_b____ = X7
        | X6 = X7
        | v_a____ = X6
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X6,X7,v_b____,v_a____,X8)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_91])]) ).

fof(f4146,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X6
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | X6 = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X6,X7,v_b____,v_a____,X8))))
        | v_b____ = X7
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X6,X7,v_b____,v_a____,X8))) )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4121,f2968]) ).

fof(f4121,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X6,X7,v_b____,v_a____,X8)))
        | X6 = X7
        | v_a____ = v_b____
        | v_b____ = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X6,X7,v_b____,v_a____,X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | v_a____ = X6 )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2141]) ).

fof(f4145,plain,
    ( ~ spl79_37
    | spl79_90
    | spl79_5
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4141,f3096,f3068,f4143,f3283]) ).

fof(f4141,plain,
    ( ! [X15] :
        ( v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X15,v_b____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X15,v_b____)))) )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4126,f2968]) ).

fof(f4126,plain,
    ( ! [X15] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X15,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X15,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X15))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X15,v_b____)))
        | v_a____ = v_b____ )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2683]) ).

fof(f4140,plain,
    ( ~ spl79_37
    | spl79_5
    | spl79_89
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4136,f3096,f4138,f3068,f3283]) ).

fof(f4138,plain,
    ( spl79_89
  <=> ! [X9,X11,X10] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_a____,X9,X10,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | v_b____ = X10
        | v_a____ = X9
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(X11,v_b____,v_a____,X9,X10,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | X9 = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_89])]) ).

fof(f4136,plain,
    ( ! [X10,X11,X9] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | v_a____ = v_b____
        | X9 = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK7(X11,v_b____,v_a____,X9,X10,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))))
        | v_a____ = X9
        | v_b____ = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_a____,X9,X10,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))) )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4122,f2968]) ).

fof(f4122,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_a____,X9,X10,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | X9 = X10
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK7(X11,v_b____,v_a____,X9,X10,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
        | v_b____ = X10
        | v_a____ = X9 )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2142]) ).

fof(f4135,plain,
    ( ~ spl79_37
    | spl79_5
    | spl79_88
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f4131,f3096,f4133,f3068,f3283]) ).

fof(f4131,plain,
    ( ! [X13] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,v_b____))))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,v_b____))) )
    | ~ spl79_10 ),
    inference(forward_demodulation,[],[f4124,f2968]) ).

fof(f4124,plain,
    ( ! [X13] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,v_b____)))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X13))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(X13,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X13,v_b____))) )
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2681]) ).

fof(f4106,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f3855,f3748,f3169]) ).

fof(f4105,plain,
    ( spl79_24
    | ~ spl79_73 ),
    inference(avatar_split_clause,[],[f3860,f3748,f3169]) ).

fof(f4104,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_59
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3809,f3743,f3503,f3201,f3068]) ).

fof(f3809,plain,
    ( ! [X3,X4,X5] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(X5,v_a____,v_b____,X3,X4,v_P____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | X3 = X4
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(X5,v_a____,v_b____,X3,X4,v_P____)))
        | v_a____ = X4
        | v_b____ = X3 )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2140]) ).

fof(f4103,plain,
    ( spl79_5
    | spl79_64
    | ~ spl79_30
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3811,f3743,f3201,f3569,f3068]) ).

fof(f3569,plain,
    ( spl79_64
  <=> ! [X2,X0,X1] :
        ( X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_b____ = X0
        | v_a____ = X1
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(X2,v_a____,v_b____,X0,X1,v_P____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(X2,v_a____,v_b____,X0,X1,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_64])]) ).

fof(f3811,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | v_b____ = X9
        | v_a____ = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | X9 = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(X11,v_a____,v_b____,X9,X10,v_P____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_a____,v_b____,X9,X10,v_P____))) )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2142]) ).

fof(f4102,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_47
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3813,f3743,f3403,f3201,f3068]) ).

fof(f3813,plain,
    ( ! [X13] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X13))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X13,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X13,sK62(v_b____,v_P____,X13,v_a____))) )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2681]) ).

fof(f4101,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_56
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3808,f3743,f3474,f3201,f3068]) ).

fof(f3808,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | v_b____ = X0
        | v_a____ = X1
        | X0 = X1
        | v_a____ = v_b____ )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2139]) ).

fof(f4100,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3913,f3341,f3100]) ).

fof(f4099,plain,
    ( spl79_78
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3917,f3341,f3931]) ).

fof(f3931,plain,
    ( spl79_78
  <=> hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_78])]) ).

fof(f3917,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____)))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2567]) ).

fof(f4098,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_66
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3816,f3743,f3606,f3201,f3068]) ).

fof(f3816,plain,
    ( ! [X18,X16,X17] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X16,X18,X17,v_P____,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X16
        | X16 = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_b____,X16,X18,X17,v_P____,v_a____)))
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X17 )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2705]) ).

fof(f4097,plain,
    ( ~ spl79_30
    | spl79_5
    | spl79_54
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3815,f3743,f3455,f3068,f3201]) ).

fof(f3455,plain,
    ( spl79_54
  <=> ! [X0] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X0,v_a____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_b____,v_P____,X0,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_54])]) ).

fof(f3815,plain,
    ( ! [X15] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X15,sK62(v_b____,v_P____,X15,v_a____)))
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X15,v_a____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X15))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2683]) ).

fof(f4096,plain,
    ( ~ spl79_30
    | spl79_5
    | spl79_68
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3817,f3743,f3643,f3068,f3201]) ).

fof(f3643,plain,
    ( spl79_68
  <=> ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X2,X1,X0,v_P____,v_a____)))
        | X0 = X2
        | v_a____ = X0
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),hAPP(X1,sK64(v_b____,X2,X1,X0,v_P____,v_a____)))
        | v_b____ = X2
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),hAPP(v_F,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_68])]) ).

fof(f3817,plain,
    ( ! [X21,X19,X20] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X21,X20,X19,v_P____,v_a____)))
        | X19 = X21
        | v_a____ = X19
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_b____,X21,X20,X19,v_P____,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2706]) ).

fof(f4095,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3928,f3341,f3100]) ).

fof(f4094,plain,
    ( spl79_5
    | spl79_62
    | ~ spl79_30
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3810,f3743,f3201,f3535,f3068]) ).

fof(f3535,plain,
    ( spl79_62
  <=> ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | X0 = X1
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | v_b____ = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_62])]) ).

fof(f3810,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X7
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P____,X6,X7,v_a____,v_b____,X8)))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | X6 = X7
        | v_b____ = X6
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X6,X7,v_a____,v_b____,X8))) )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2141]) ).

fof(f4093,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_45
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3812,f3743,f3390,f3201,f3068]) ).

fof(f3812,plain,
    ( ! [X12] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X12,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X12,sK62(v_a____,X12,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X12))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,X12,v_P____,v_b____))) )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2680]) ).

fof(f4092,plain,
    ( spl79_5
    | spl79_49
    | ~ spl79_30
    | ~ spl79_72 ),
    inference(avatar_split_clause,[],[f3814,f3743,f3201,f3418,f3068]) ).

fof(f3814,plain,
    ( ! [X14] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X14,sK62(v_a____,X14,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,X14,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X14)) )
    | ~ spl79_72 ),
    inference(resolution,[],[f3797,f2682]) ).

fof(f4091,plain,
    ( spl79_86
    | spl79_87
    | spl79_10
    | ~ spl79_37
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4082,f3390,f3283,f3096,f4088,f4084]) ).

fof(f4082,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____))))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | ~ spl79_37
    | ~ spl79_45 ),
    inference(forward_demodulation,[],[f4050,f2968]) ).

fof(f4050,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P____,v_b____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_37
    | ~ spl79_45 ),
    inference(resolution,[],[f3391,f3285]) ).

fof(f4081,plain,
    ( spl79_85
    | spl79_84
    | spl79_83
    | ~ spl79_45
    | ~ spl79_70 ),
    inference(avatar_split_clause,[],[f4052,f3733,f3390,f4069,f4073,f4077]) ).

fof(f4080,plain,
    ( spl79_83
    | spl79_84
    | spl79_85
    | ~ spl79_30
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4049,f3390,f3201,f4077,f4073,f4069]) ).

fof(f4067,plain,
    ( spl79_82
    | spl79_80
    | spl79_81
    | ~ spl79_8
    | ~ spl79_45 ),
    inference(avatar_split_clause,[],[f4051,f3390,f3083,f4059,f4055,f4063]) ).

fof(f4066,plain,
    ( spl79_80
    | spl79_81
    | spl79_82
    | ~ spl79_45
    | ~ spl79_71 ),
    inference(avatar_split_clause,[],[f4053,f3738,f3390,f4063,f4059,f4055]) ).

fof(f3964,plain,
    ( spl79_79
    | ~ spl79_14 ),
    inference(avatar_split_clause,[],[f3959,f3115,f3961]) ).

fof(f3961,plain,
    ( spl79_79
  <=> hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_79])]) ).

fof(f3115,plain,
    ( spl79_14
  <=> c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),sK6,c_Arrow__Order__Mirabelle_OLin) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_14])]) ).

fof(f3959,plain,
    ( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,sK6))
    | ~ spl79_14 ),
    inference(resolution,[],[f3117,f2567]) ).

fof(f3117,plain,
    ( c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),sK6,c_Arrow__Order__Mirabelle_OLin)
    | ~ spl79_14 ),
    inference(avatar_component_clause,[],[f3115]) ).

fof(f3935,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3913,f3341,f3100]) ).

fof(f3934,plain,
    ( spl79_78
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3917,f3341,f3931]) ).

fof(f3929,plain,
    ( spl79_11
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3928,f3341,f3100]) ).

fof(f3927,plain,
    ( spl79_77
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3916,f3341,f3924]) ).

fof(f3924,plain,
    ( spl79_77
  <=> c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_77])]) ).

fof(f3916,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2405]) ).

fof(f3922,plain,
    ( spl79_76
    | ~ spl79_42 ),
    inference(avatar_split_clause,[],[f3915,f3341,f3919]) ).

fof(f3919,plain,
    ( spl79_76
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_76])]) ).

fof(f3915,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P_H____))),hAPP(v_F,v_P_H____))
    | ~ spl79_42 ),
    inference(resolution,[],[f3343,f2404]) ).

fof(f3781,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3532,f3362,f3169]) ).

fof(f3780,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3636,f3362,f3169]) ).

fof(f3779,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3599,f3362,f3169]) ).

fof(f3778,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3603,f3362,f3169]) ).

fof(f3777,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3676,f3362,f3169]) ).

fof(f3776,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3566,f3362,f3169]) ).

fof(f3775,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3492,f3362,f3169]) ).

fof(f3774,plain,
    ( spl79_75
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3769,f3100,f3771]) ).

fof(f3771,plain,
    ( spl79_75
  <=> hBOOL(hAPP(hAPP(v_F,v_P_H____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_75])]) ).

fof(f3769,plain,
    ( hBOOL(hAPP(hAPP(v_F,v_P_H____),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____)))
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2567]) ).

fof(f3756,plain,
    ( spl79_74
    | ~ spl79_37 ),
    inference(avatar_split_clause,[],[f3723,f3283,f3753]) ).

fof(f3753,plain,
    ( spl79_74
  <=> hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_74])]) ).

fof(f3723,plain,
    ( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ spl79_37 ),
    inference(resolution,[],[f2567,f3285]) ).

fof(f3751,plain,
    ( spl79_73
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3730,f3362,f3748]) ).

fof(f3746,plain,
    ( spl79_72
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3729,f3169,f3743]) ).

fof(f3741,plain,
    ( spl79_71
    | ~ spl79_8 ),
    inference(avatar_split_clause,[],[f3724,f3083,f3738]) ).

fof(f3724,plain,
    ( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____))
    | ~ spl79_8 ),
    inference(resolution,[],[f2567,f3085]) ).

fof(f3736,plain,
    ( spl79_70
    | ~ spl79_30 ),
    inference(avatar_split_clause,[],[f3722,f3201,f3733]) ).

fof(f3722,plain,
    ( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____))
    | ~ spl79_30 ),
    inference(resolution,[],[f2567,f3203]) ).

fof(f3660,plain,
    ( ~ spl79_8
    | spl79_1
    | spl79_69
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3655,f3100,f3658,f3048,f3083]) ).

fof(f3658,plain,
    ( spl79_69
  <=> ! [X20,X21,X19] :
        ( v_c____ = X21
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_c____,X21,X20,X19,v_P_H____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X19
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK64(v_c____,X21,X20,X19,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | X19 = X21 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_69])]) ).

fof(f3655,plain,
    ( ! [X21,X19,X20] :
        ( v_c____ = X21
        | X19 = X21
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(v_F,X20))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK64(v_c____,X21,X20,X19,v_P_H____,v_b____)))
        | v_b____ = X19
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X20,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),hAPP(X20,sK64(v_c____,X21,X20,X19,v_P_H____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2706]) ).

fof(f3645,plain,
    ( spl79_5
    | spl79_68
    | ~ spl79_30
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3641,f3169,f3201,f3643,f3068]) ).

fof(f3641,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),hAPP(v_F,X1))
        | v_a____ = v_b____
        | v_b____ = X2
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),hAPP(X1,sK64(v_b____,X2,X1,X0,v_P____,v_a____)))
        | v_a____ = X0
        | X0 = X2
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X2,X1,X0,v_P____,v_a____))) )
    | ~ spl79_24 ),
    inference(resolution,[],[f2706,f3170]) ).

fof(f3625,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3562,f3362,f3169]) ).

fof(f3624,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3492,f3362,f3169]) ).

fof(f3623,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3566,f3362,f3169]) ).

fof(f3622,plain,
    ( spl79_1
    | ~ spl79_8
    | spl79_67
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3617,f3100,f3620,f3083,f3048]) ).

fof(f3617,plain,
    ( ! [X18,X16,X17] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X18,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK64(v_c____,X16,X18,X17,v_P_H____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(X18,sK64(v_c____,X16,X18,X17,v_P_H____,v_b____)))
        | v_b____ = v_c____
        | v_c____ = X16
        | v_b____ = X17
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X17),hAPP(v_F,X18))
        | X16 = X17 )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2705]) ).

fof(f3608,plain,
    ( ~ spl79_30
    | spl79_5
    | spl79_66
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3604,f3169,f3606,f3068,f3201]) ).

fof(f3604,plain,
    ( ! [X2,X0,X1] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK64(v_b____,X0,X2,X1,v_P____,v_a____)))
        | v_a____ = X1
        | v_b____ = X0
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK64(v_b____,X0,X2,X1,v_P____,v_a____)))
        | X0 = X1 )
    | ~ spl79_24 ),
    inference(resolution,[],[f2705,f3170]) ).

fof(f3589,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3532,f3362,f3169]) ).

fof(f3588,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3562,f3362,f3169]) ).

fof(f3587,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3566,f3362,f3169]) ).

fof(f3586,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3477,f3362,f3169]) ).

fof(f3585,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3492,f3362,f3169]) ).

fof(f3584,plain,
    ( spl79_1
    | spl79_65
    | ~ spl79_8
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3575,f3100,f3083,f3582,f3048]) ).

fof(f3582,plain,
    ( spl79_65
  <=> ! [X9,X11,X10] :
        ( v_b____ = X10
        | X9 = X10
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_c____,X9,X10,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | v_c____ = X9
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(X11,v_b____,v_c____,X9,X10,v_P_H____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_65])]) ).

fof(f3575,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X10
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(X11,v_b____,v_c____,X9,X10,v_P_H____)))
        | v_c____ = X9
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(X11,sK7(X11,v_b____,v_c____,X9,X10,v_P_H____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X10),hAPP(v_F,X11))
        | X9 = X10 )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2142]) ).

fof(f3571,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_64
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3567,f3169,f3569,f3201,f3068]) ).

fof(f3567,plain,
    ( ! [X2,X0,X1] :
        ( X0 = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(X2,v_a____,v_b____,X0,X1,v_P____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(X2,v_a____,v_b____,X0,X1,v_P____)))
        | v_a____ = X1
        | v_b____ = X0
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_a____ = v_b____ )
    | ~ spl79_24 ),
    inference(resolution,[],[f2142,f3170]) ).

fof(f3553,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3532,f3362,f3169]) ).

fof(f3552,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3492,f3362,f3169]) ).

fof(f3551,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3477,f3362,f3169]) ).

fof(f3550,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3528,f3362,f3169]) ).

fof(f3549,plain,
    ( spl79_1
    | ~ spl79_8
    | spl79_63
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3540,f3100,f3547,f3083,f3048]) ).

fof(f3547,plain,
    ( spl79_63
  <=> ! [X6,X7,X8] :
        ( v_b____ = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P_H____,X6,X7,v_b____,v_c____,X8)))
        | X6 = X7
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(v_P_H____,X6,X7,v_b____,v_c____,X8)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | v_c____ = X6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_63])]) ).

fof(f3540,plain,
    ( ! [X8,X6,X7] :
        ( v_b____ = X7
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_c____ = X6
        | v_b____ = v_c____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(v_F,X8))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(v_P_H____,X6,X7,v_b____,v_c____,X8)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | X6 = X7
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X7),hAPP(X8,sK7(v_P_H____,X6,X7,v_b____,v_c____,X8))) )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2141]) ).

fof(f3537,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_62
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3533,f3169,f3535,f3201,f3068]) ).

fof(f3533,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X0
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | v_a____ = X1
        | v_a____ = v_b____ )
    | ~ spl79_24 ),
    inference(resolution,[],[f2141,f3170]) ).

fof(f3520,plain,
    ( spl79_1
    | ~ spl79_8
    | spl79_61
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3506,f3100,f3518,f3083,f3048]) ).

fof(f3506,plain,
    ( ! [X2,X0,X1] :
        ( v_b____ = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = v_c____
        | v_c____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(X2,v_b____,v_c____,X0,X1,v_P_H____)))
        | X0 = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(X2,v_b____,v_c____,X0,X1,v_P_H____))) )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2140]) ).

fof(f3516,plain,
    ( spl79_1
    | spl79_60
    | ~ spl79_8
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3507,f3100,f3083,f3514,f3048]) ).

fof(f3507,plain,
    ( ! [X3,X4,X5] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(v_F,X5))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),hAPP(X5,sK7(v_P_H____,X3,X4,v_b____,v_c____,X5)))
        | v_b____ = X4
        | v_c____ = X3
        | X3 = X4
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK7(v_P_H____,X3,X4,v_b____,v_c____,X5)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = v_c____ )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2139]) ).

fof(f3505,plain,
    ( spl79_5
    | spl79_59
    | ~ spl79_30
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3501,f3169,f3201,f3503,f3068]) ).

fof(f3501,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = X0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(X2,v_a____,v_b____,X0,X1,v_P____)))
        | X0 = X1
        | v_a____ = X1
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(X2,v_a____,v_b____,X0,X1,v_P____))) )
    | ~ spl79_24 ),
    inference(resolution,[],[f2140,f3170]) ).

fof(f3493,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3492,f3362,f3169]) ).

fof(f3491,plain,
    ( spl79_58
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3479,f3362,f3488]) ).

fof(f3479,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____))),hAPP(v_F,v_P____))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2404]) ).

fof(f3486,plain,
    ( spl79_57
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3480,f3362,f3483]) ).

fof(f3480,plain,
    ( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK37(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)),sK36(tc_Arrow__Order__Mirabelle_Oalt,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_F,v_P____)))
    | ~ spl79_44 ),
    inference(resolution,[],[f3364,f2405]) ).

fof(f3481,plain,
    ( spl79_24
    | ~ spl79_44 ),
    inference(avatar_split_clause,[],[f3477,f3362,f3169]) ).

fof(f3476,plain,
    ( spl79_5
    | ~ spl79_30
    | spl79_56
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3472,f3169,f3474,f3201,f3068]) ).

fof(f3472,plain,
    ( ! [X2,X0,X1] :
        ( v_b____ = X0
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | v_a____ = X1
        | X0 = X1
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK7(v_P____,X0,X1,v_a____,v_b____,X2)))
        | v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_24 ),
    inference(resolution,[],[f2139,f3170]) ).

fof(f3466,plain,
    ( spl79_1
    | ~ spl79_8
    | spl79_55
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3458,f3100,f3464,f3083,f3048]) ).

fof(f3464,plain,
    ( spl79_55
  <=> ! [X0] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_c____,v_P_H____,X0,v_b____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,X0,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_55])]) ).

fof(f3458,plain,
    ( ! [X0] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,X0,v_b____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_c____,v_P_H____,X0,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = v_c____ )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2683]) ).

fof(f3457,plain,
    ( ~ spl79_30
    | spl79_54
    | spl79_5
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3453,f3169,f3068,f3455,f3201]) ).

fof(f3453,plain,
    ( ! [X0] :
        ( v_a____ = v_b____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X0,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_b____,v_P____,X0,v_a____))) )
    | ~ spl79_24 ),
    inference(resolution,[],[f2683,f3170]) ).

fof(f3452,plain,
    ( spl79_53
    | ~ spl79_35 ),
    inference(avatar_split_clause,[],[f3434,f3256,f3449]) ).

fof(f3449,plain,
    ( spl79_53
  <=> c_Wellfounded_Oacyclic(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_53])]) ).

fof(f3256,plain,
    ( spl79_35
  <=> c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_35])]) ).

fof(f3434,plain,
    ( c_Wellfounded_Oacyclic(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less)
    | ~ spl79_35 ),
    inference(resolution,[],[f2586,f3258]) ).

fof(f3258,plain,
    ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less)
    | ~ spl79_35 ),
    inference(avatar_component_clause,[],[f3256]) ).

fof(f3447,plain,
    ( spl79_52
    | ~ spl79_19 ),
    inference(avatar_split_clause,[],[f3437,f3141,f3444]) ).

fof(f3444,plain,
    ( spl79_52
  <=> c_Wellfounded_Oacyclic(tc_Nat_Onat,c_Wellfounded_Opred__nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_52])]) ).

fof(f3141,plain,
    ( spl79_19
  <=> c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_19])]) ).

fof(f3437,plain,
    ( c_Wellfounded_Oacyclic(tc_Nat_Onat,c_Wellfounded_Opred__nat)
    | ~ spl79_19 ),
    inference(resolution,[],[f2586,f3143]) ).

fof(f3143,plain,
    ( c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat)
    | ~ spl79_19 ),
    inference(avatar_component_clause,[],[f3141]) ).

fof(f3442,plain,
    ( spl79_51
    | ~ spl79_3 ),
    inference(avatar_split_clause,[],[f3436,f3058,f3439]) ).

fof(f3439,plain,
    ( spl79_51
  <=> c_Wellfounded_Oacyclic(tc_Nat_Onat,c_Wellfounded_Oless__than) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_51])]) ).

fof(f3058,plain,
    ( spl79_3
  <=> c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_3])]) ).

fof(f3436,plain,
    ( c_Wellfounded_Oacyclic(tc_Nat_Onat,c_Wellfounded_Oless__than)
    | ~ spl79_3 ),
    inference(resolution,[],[f2586,f3060]) ).

fof(f3060,plain,
    ( c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than)
    | ~ spl79_3 ),
    inference(avatar_component_clause,[],[f3058]) ).

fof(f3428,plain,
    ( spl79_1
    | spl79_50
    | ~ spl79_8
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3421,f3100,f3083,f3426,f3048]) ).

fof(f3426,plain,
    ( spl79_50
  <=> ! [X0] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_b____,X0,v_P_H____,v_c____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,X0,v_P_H____,v_c____))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_50])]) ).

fof(f3421,plain,
    ( ! [X0] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0))
        | v_b____ = v_c____
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,X0,v_P_H____,v_c____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_b____,X0,v_P_H____,v_c____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2682]) ).

fof(f3420,plain,
    ( ~ spl79_30
    | spl79_5
    | spl79_49
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3416,f3169,f3418,f3068,f3201]) ).

fof(f3416,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,X0,v_P____,v_b____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_a____,X0,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0)) )
    | ~ spl79_24 ),
    inference(resolution,[],[f2682,f3170]) ).

fof(f3412,plain,
    ( ~ spl79_8
    | spl79_1
    | spl79_48
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3406,f3100,f3410,f3048,f3083]) ).

fof(f3406,plain,
    ( ! [X0] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_c____,v_P_H____,X0,v_b____)))
        | v_b____ = v_c____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_c____,v_P_H____,X0,v_b____))) )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2681]) ).

fof(f3405,plain,
    ( ~ spl79_30
    | spl79_47
    | spl79_5
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3401,f3169,f3068,f3403,f3201]) ).

fof(f3401,plain,
    ( ! [X0] :
        ( v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_b____,v_P____,X0,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_b____,v_P____,X0,v_a____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_24 ),
    inference(resolution,[],[f2681,f3170]) ).

fof(f3398,plain,
    ( spl79_1
    | spl79_46
    | ~ spl79_8
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3393,f3100,f3083,f3396,f3048]) ).

fof(f3393,plain,
    ( ! [X0] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(X0,sK62(v_b____,X0,v_P_H____,v_c____)))
        | v_b____ = v_c____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(v_F,X0))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK62(v_b____,X0,v_P_H____,v_c____))) )
    | ~ spl79_11 ),
    inference(resolution,[],[f3101,f2680]) ).

fof(f3392,plain,
    ( ~ spl79_30
    | spl79_45
    | spl79_5
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3388,f3169,f3068,f3390,f3201]) ).

fof(f3388,plain,
    ( ! [X0] :
        ( v_a____ = v_b____
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(X0,sK62(v_a____,X0,v_P____,v_b____)))
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK62(v_a____,X0,v_P____,v_b____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl79_24 ),
    inference(resolution,[],[f2680,f3170]) ).

fof(f3365,plain,
    ( spl79_44
    | ~ spl79_24 ),
    inference(avatar_split_clause,[],[f3360,f3169,f3362]) ).

fof(f3360,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____)))
    | ~ spl79_24 ),
    inference(resolution,[],[f3170,f2441]) ).

fof(f3359,plain,
    ( spl79_43
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f3354,f3096,f3356]) ).

fof(f3354,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))))
    | ~ spl79_10 ),
    inference(resolution,[],[f3098,f2441]) ).

fof(f3344,plain,
    ( spl79_42
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f3339,f3100,f3341]) ).

fof(f3339,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_c____,v_b____),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____)))
    | ~ spl79_11 ),
    inference(resolution,[],[f2441,f3101]) ).

fof(f3314,plain,
    ( spl79_41
    | ~ spl79_4 ),
    inference(avatar_split_clause,[],[f3309,f3063,f3311]) ).

fof(f3311,plain,
    ( spl79_41
  <=> c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Transitive__Closure_Ortrancl(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_41])]) ).

fof(f3063,plain,
    ( spl79_4
  <=> c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Transitive__Closure_Ortrancl(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_4])]) ).

fof(f3309,plain,
    ( c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Transitive__Closure_Ortrancl(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))))
    | ~ spl79_4 ),
    inference(forward_demodulation,[],[f3308,f2674]) ).

fof(f3308,plain,
    ( c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Transitive__Closure_Ortrancl(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))
    | ~ spl79_4 ),
    inference(forward_demodulation,[],[f3065,f2674]) ).

fof(f3065,plain,
    ( c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Transitive__Closure_Ortrancl(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool))))
    | ~ spl79_4 ),
    inference(avatar_component_clause,[],[f3063]) ).

fof(f3307,plain,
    ( spl79_40
    | ~ spl79_23 ),
    inference(avatar_split_clause,[],[f3302,f3164,f3304]) ).

fof(f3304,plain,
    ( spl79_40
  <=> c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))),c_Relation_OId__on(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_40])]) ).

fof(f3164,plain,
    ( spl79_23
  <=> c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_23])]) ).

fof(f3302,plain,
    ( c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))),c_Relation_OId__on(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool)))))
    | ~ spl79_23 ),
    inference(forward_demodulation,[],[f3301,f2674]) ).

fof(f3301,plain,
    ( c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Relation_OId__on(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool)))))
    | ~ spl79_23 ),
    inference(forward_demodulation,[],[f3166,f2674]) ).

fof(f3166,plain,
    ( c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool))))
    | ~ spl79_23 ),
    inference(avatar_component_clause,[],[f3164]) ).

fof(f3298,plain,
    ( spl79_39
    | ~ spl79_16 ),
    inference(avatar_split_clause,[],[f3293,f3125,f3295]) ).

fof(f3295,plain,
    ( spl79_39
  <=> c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))),c_Relation_OId__on(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_39])]) ).

fof(f3125,plain,
    ( spl79_16
  <=> c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_16])]) ).

fof(f3293,plain,
    ( c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_Relation_OId__on(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))),c_Relation_OId__on(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool)))))
    | ~ spl79_16 ),
    inference(forward_demodulation,[],[f3292,f2674]) ).

fof(f3292,plain,
    ( c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Relation_OId__on(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool)))))
    | ~ spl79_16 ),
    inference(forward_demodulation,[],[f3127,f2674]) ).

fof(f3127,plain,
    ( c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool))))
    | ~ spl79_16 ),
    inference(avatar_component_clause,[],[f3125]) ).

fof(f3291,plain,
    spl79_38,
    inference(avatar_split_clause,[],[f2546,f3288]) ).

fof(f3288,plain,
    ( spl79_38
  <=> class_Orderings_Opreorder(tc_HOL_Obool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_38])]) ).

fof(f2546,plain,
    class_Orderings_Opreorder(tc_HOL_Obool),
    inference(cnf_transformation,[],[f510]) ).

fof(f510,axiom,
    class_Orderings_Opreorder(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Opreorder) ).

fof(f3286,plain,
    spl79_37,
    inference(avatar_split_clause,[],[f2440,f3283]) ).

fof(f2440,plain,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cP) ).

fof(f3270,plain,
    spl79_36,
    inference(avatar_split_clause,[],[f2342,f3267]) ).

fof(f3267,plain,
    ( spl79_36
  <=> class_Orderings_Opreorder(tc_Nat_Onat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_36])]) ).

fof(f2342,plain,
    class_Orderings_Opreorder(tc_Nat_Onat),
    inference(cnf_transformation,[],[f503]) ).

fof(f503,axiom,
    class_Orderings_Opreorder(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Opreorder) ).

fof(f3260,plain,
    ( spl79_10
    | spl79_24 ),
    inference(avatar_split_clause,[],[f2646,f3169,f3096]) ).

fof(f2646,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(cnf_transformation,[],[f1932]) ).

fof(f1932,plain,
    ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____)) )
    & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____)) ) ),
    inference(nnf_transformation,[],[f1230]) ).

fof(f1230,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
  <~> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(ennf_transformation,[],[f520]) ).

fof(f520,negated_conjecture,
    ~ ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
    <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(negated_conjecture,[],[f519]) ).

fof(f519,conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f3259,plain,
    spl79_35,
    inference(avatar_split_clause,[],[f2300,f3256]) ).

fof(f2300,plain,
    c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    inference(cnf_transformation,[],[f242]) ).

fof(f242,axiom,
    c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_wf__pair__less) ).

fof(f3254,plain,
    spl79_34,
    inference(avatar_split_clause,[],[f2266,f3251]) ).

fof(f3251,plain,
    ( spl79_34
  <=> class_Lattices_Olattice(tc_Nat_Onat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_34])]) ).

fof(f2266,plain,
    class_Lattices_Olattice(tc_Nat_Onat),
    inference(cnf_transformation,[],[f505]) ).

fof(f505,axiom,
    class_Lattices_Olattice(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Lattices_Olattice) ).

fof(f3225,plain,
    spl79_33,
    inference(avatar_split_clause,[],[f2463,f3222]) ).

fof(f3222,plain,
    ( spl79_33
  <=> class_Lattices_Osemilattice__sup(tc_Nat_Onat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_33])]) ).

fof(f2463,plain,
    class_Lattices_Osemilattice__sup(tc_Nat_Onat),
    inference(cnf_transformation,[],[f502]) ).

fof(f502,axiom,
    class_Lattices_Osemilattice__sup(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Lattices_Osemilattice__sup) ).

fof(f3220,plain,
    spl79_32,
    inference(avatar_split_clause,[],[f2291,f3217]) ).

fof(f3217,plain,
    ( spl79_32
  <=> c_Arrow__Order__Mirabelle_OIIA(v_F) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_32])]) ).

fof(f2291,plain,
    c_Arrow__Order__Mirabelle_OIIA(v_F),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    c_Arrow__Order__Mirabelle_OIIA(v_F),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_assms_I3_J) ).

fof(f3209,plain,
    spl79_31,
    inference(avatar_split_clause,[],[f2470,f3206]) ).

fof(f3206,plain,
    ( spl79_31
  <=> c_Arrow__Order__Mirabelle_Ounanimity(v_F) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_31])]) ).

fof(f2470,plain,
    c_Arrow__Order__Mirabelle_Ounanimity(v_F),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    c_Arrow__Order__Mirabelle_Ounanimity(v_F),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_u) ).

fof(f3204,plain,
    spl79_30,
    inference(avatar_split_clause,[],[f2379,f3201]) ).

fof(f2379,plain,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I4_J) ).

fof(f3199,plain,
    spl79_29,
    inference(avatar_split_clause,[],[f2844,f3196]) ).

fof(f3196,plain,
    ( spl79_29
  <=> c_Wellfounded_Oless__than = c_Relation_Orel__comp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Opred__nat,c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_29])]) ).

fof(f2844,plain,
    c_Wellfounded_Oless__than = c_Relation_Orel__comp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Opred__nat,c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)),
    inference(definition_unfolding,[],[f2223,f2431]) ).

fof(f2223,plain,
    c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    inference(cnf_transformation,[],[f199]) ).

fof(f199,axiom,
    c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__than__def) ).

fof(f3194,plain,
    spl79_28,
    inference(avatar_split_clause,[],[f2640,f3191]) ).

fof(f3191,plain,
    ( spl79_28
  <=> c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_28])]) ).

fof(f2640,plain,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)),
    inference(cnf_transformation,[],[f251]) ).

fof(f251,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_min__rpair__set) ).

fof(f3188,plain,
    ( ~ spl79_10
    | spl79_11 ),
    inference(avatar_split_clause,[],[f2625,f3100,f3096]) ).

fof(f2625,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(cnf_transformation,[],[f1915]) ).

fof(f1915,plain,
    ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____)) )
    & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_calculation) ).

fof(f3187,plain,
    spl79_27,
    inference(avatar_split_clause,[],[f2552,f3184]) ).

fof(f3184,plain,
    ( spl79_27
  <=> class_Finite__Set_Ofinite(tc_HOL_Obool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_27])]) ).

fof(f2552,plain,
    class_Finite__Set_Ofinite(tc_HOL_Obool),
    inference(cnf_transformation,[],[f511]) ).

fof(f511,axiom,
    class_Finite__Set_Ofinite(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Finite__Set_Ofinite) ).

fof(f3182,plain,
    spl79_26,
    inference(avatar_split_clause,[],[f2289,f3179]) ).

fof(f3179,plain,
    ( spl79_26
  <=> class_Orderings_Obot(tc_Nat_Onat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_26])]) ).

fof(f2289,plain,
    class_Orderings_Obot(tc_Nat_Onat),
    inference(cnf_transformation,[],[f508]) ).

fof(f508,axiom,
    class_Orderings_Obot(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Obot) ).

fof(f3177,plain,
    spl79_25,
    inference(avatar_split_clause,[],[f2330,f3174]) ).

fof(f3174,plain,
    ( spl79_25
  <=> class_Orderings_Obot(tc_HOL_Obool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_25])]) ).

fof(f2330,plain,
    class_Orderings_Obot(tc_HOL_Obool),
    inference(cnf_transformation,[],[f515]) ).

fof(f515,axiom,
    class_Orderings_Obot(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Obot) ).

fof(f3172,plain,
    ( ~ spl79_24
    | ~ spl79_10 ),
    inference(avatar_split_clause,[],[f2647,f3096,f3169]) ).

fof(f2647,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____)) ),
    inference(cnf_transformation,[],[f1932]) ).

fof(f3167,plain,
    spl79_23,
    inference(avatar_split_clause,[],[f2736,f3164]) ).

fof(f2736,plain,
    c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f422]) ).

fof(f422,axiom,
    c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_max__weak__def) ).

fof(f3161,plain,
    spl79_22,
    inference(avatar_split_clause,[],[f2135,f3158]) ).

fof(f3158,plain,
    ( spl79_22
  <=> class_Orderings_Oorder(tc_HOL_Obool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_22])]) ).

fof(f2135,plain,
    class_Orderings_Oorder(tc_HOL_Obool),
    inference(cnf_transformation,[],[f513]) ).

fof(f513,axiom,
    class_Orderings_Oorder(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Oorder) ).

fof(f3156,plain,
    spl79_21,
    inference(avatar_split_clause,[],[f2365,f3153]) ).

fof(f3153,plain,
    ( spl79_21
  <=> class_Orderings_Olinorder(tc_Nat_Onat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_21])]) ).

fof(f2365,plain,
    class_Orderings_Olinorder(tc_Nat_Onat),
    inference(cnf_transformation,[],[f504]) ).

fof(f504,axiom,
    class_Orderings_Olinorder(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Olinorder) ).

fof(f3151,plain,
    ~ spl79_20,
    inference(avatar_split_clause,[],[f2744,f3148]) ).

fof(f3148,plain,
    ( spl79_20
  <=> v_a____ = v_c____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_20])]) ).

fof(f2744,plain,
    v_a____ != v_c____,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    v_a____ != v_c____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I3_J) ).

fof(f3144,plain,
    spl79_19,
    inference(avatar_split_clause,[],[f2455,f3141]) ).

fof(f2455,plain,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_wf__pred__nat) ).

fof(f3138,plain,
    spl79_18,
    inference(avatar_split_clause,[],[f2643,f3135]) ).

fof(f3135,plain,
    ( spl79_18
  <=> c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_18])]) ).

fof(f2643,plain,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)),
    inference(cnf_transformation,[],[f252]) ).

fof(f252,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_max__rpair__set) ).

fof(f3133,plain,
    spl79_17,
    inference(avatar_split_clause,[],[f2544,f3130]) ).

fof(f3130,plain,
    ( spl79_17
  <=> c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_17])]) ).

fof(f2544,plain,
    c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,axiom,
    c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pair__less__def) ).

fof(f3128,plain,
    spl79_16,
    inference(avatar_split_clause,[],[f2096,f3125]) ).

fof(f2096,plain,
    c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f423]) ).

fof(f423,axiom,
    c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_min__weak__def) ).

fof(f3123,plain,
    spl79_15,
    inference(avatar_split_clause,[],[f2462,f3120]) ).

fof(f3120,plain,
    ( spl79_15
  <=> c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_15])]) ).

fof(f2462,plain,
    c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    inference(cnf_transformation,[],[f250]) ).

fof(f250,axiom,
    c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_min__strict__def) ).

fof(f3118,plain,
    spl79_14,
    inference(avatar_split_clause,[],[f2133,f3115]) ).

fof(f2133,plain,
    c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),sK6,c_Arrow__Order__Mirabelle_OLin),
    inference(cnf_transformation,[],[f1533]) ).

fof(f1533,plain,
    c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),sK6,c_Arrow__Order__Mirabelle_OLin),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f961,f1532]) ).

fof(f1532,plain,
    ( ? [X0] : c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X0,c_Arrow__Order__Mirabelle_OLin)
   => c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),sK6,c_Arrow__Order__Mirabelle_OLin) ),
    introduced(choice_axiom,[]) ).

fof(f961,plain,
    ? [X0] : c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X0,c_Arrow__Order__Mirabelle_OLin),
    inference(rectify,[],[f142]) ).

fof(f142,axiom,
    ? [X58] : c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X58,c_Arrow__Order__Mirabelle_OLin),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linear__alt) ).

fof(f3113,plain,
    spl79_13,
    inference(avatar_split_clause,[],[f2388,f3110]) ).

fof(f3110,plain,
    ( spl79_13
  <=> class_Orderings_Oord(tc_Nat_Onat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_13])]) ).

fof(f2388,plain,
    class_Orderings_Oord(tc_Nat_Onat),
    inference(cnf_transformation,[],[f507]) ).

fof(f507,axiom,
    class_Orderings_Oord(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Oord) ).

fof(f3108,plain,
    spl79_12,
    inference(avatar_split_clause,[],[f2655,f3105]) ).

fof(f3105,plain,
    ( spl79_12
  <=> class_Lattices_Osemilattice__sup(tc_HOL_Obool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_12])]) ).

fof(f2655,plain,
    class_Lattices_Osemilattice__sup(tc_HOL_Obool),
    inference(cnf_transformation,[],[f509]) ).

fof(f509,axiom,
    class_Lattices_Osemilattice__sup(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Lattices_Osemilattice__sup) ).

fof(f3103,plain,
    ( spl79_10
    | ~ spl79_11 ),
    inference(avatar_split_clause,[],[f2626,f3100,f3096]) ).

fof(f2626,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(cnf_transformation,[],[f1915]) ).

fof(f3091,plain,
    spl79_9,
    inference(avatar_split_clause,[],[f2562,f3088]) ).

fof(f3088,plain,
    ( spl79_9
  <=> class_Orderings_Oord(tc_HOL_Obool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_9])]) ).

fof(f2562,plain,
    class_Orderings_Oord(tc_HOL_Obool),
    inference(cnf_transformation,[],[f514]) ).

fof(f514,axiom,
    class_Orderings_Oord(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Oord) ).

fof(f3086,plain,
    spl79_8,
    inference(avatar_split_clause,[],[f2573,f3083]) ).

fof(f2573,plain,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I5_J) ).

fof(f3081,plain,
    spl79_7,
    inference(avatar_split_clause,[],[f2382,f3078]) ).

fof(f3078,plain,
    ( spl79_7
  <=> c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_7])]) ).

fof(f2382,plain,
    c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    inference(cnf_transformation,[],[f249]) ).

fof(f249,axiom,
    c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_max__strict__def) ).

fof(f3076,plain,
    spl79_6,
    inference(avatar_split_clause,[],[f2143,f3073]) ).

fof(f3073,plain,
    ( spl79_6
  <=> class_Orderings_Oorder(tc_Nat_Onat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_6])]) ).

fof(f2143,plain,
    class_Orderings_Oorder(tc_Nat_Onat),
    inference(cnf_transformation,[],[f506]) ).

fof(f506,axiom,
    class_Orderings_Oorder(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Oorder) ).

fof(f3071,plain,
    ~ spl79_5,
    inference(avatar_split_clause,[],[f2709,f3068]) ).

fof(f2709,plain,
    v_a____ != v_b____,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    v_a____ != v_b____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I1_J) ).

fof(f3066,plain,
    spl79_4,
    inference(avatar_split_clause,[],[f2840,f3063]) ).

fof(f2840,plain,
    c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Transitive__Closure_Ortrancl(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)))),
    inference(definition_unfolding,[],[f2199,f2651]) ).

fof(f2651,plain,
    ! [X0] : c_Transitive__Closure_Ortrancl(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_HOL_Obool))) = c_Relation_OId(X0),
    inference(cnf_transformation,[],[f829]) ).

fof(f829,plain,
    ! [X0] : c_Transitive__Closure_Ortrancl(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_HOL_Obool))) = c_Relation_OId(X0),
    inference(rectify,[],[f416]) ).

fof(f416,axiom,
    ! [X8] : c_Relation_OId(X8) = c_Transitive__Closure_Ortrancl(X8,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X8,X8),tc_HOL_Obool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rtrancl__empty) ).

fof(f2199,plain,
    c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))),
    inference(cnf_transformation,[],[f478]) ).

fof(f478,axiom,
    c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pair__leq__def) ).

fof(f3061,plain,
    spl79_3,
    inference(avatar_split_clause,[],[f2211,f3058]) ).

fof(f2211,plain,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_wf__less__than) ).

fof(f3056,plain,
    spl79_2,
    inference(avatar_split_clause,[],[f2726,f3053]) ).

fof(f3053,plain,
    ( spl79_2
  <=> class_Lattices_Olattice(tc_HOL_Obool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl79_2])]) ).

fof(f2726,plain,
    class_Lattices_Olattice(tc_HOL_Obool),
    inference(cnf_transformation,[],[f512]) ).

fof(f512,axiom,
    class_Lattices_Olattice(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Lattices_Olattice) ).

fof(f3051,plain,
    ~ spl79_1,
    inference(avatar_split_clause,[],[f2184,f3048]) ).

fof(f2184,plain,
    v_b____ != v_c____,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    v_b____ != v_c____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I2_J) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SCT153+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 12:40:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.57  % (27400)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.58  % (27384)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.22/0.58  % (27391)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.22/0.59  % (27398)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.40/0.63  % (27381)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.63  % (27378)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.63  % (27382)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.64  % (27380)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.40/0.64  % (27389)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.40/0.64  % (27392)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.64  % (27387)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.40/0.64  % (27388)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.65  % (27399)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.65  % (27403)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.40/0.65  % (27401)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.40/0.65  % (27395)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.40/0.65  % (27385)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.65  % (27396)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.66  % (27394)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.66  % (27382)Instruction limit reached!
% 1.40/0.66  % (27382)------------------------------
% 1.40/0.66  % (27382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.66  % (27382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.66  % (27382)Termination reason: Unknown
% 1.40/0.66  % (27382)Termination phase: Preprocessing 1
% 1.40/0.66  
% 1.40/0.66  % (27382)Memory used [KB]: 1918
% 1.40/0.66  % (27382)Time elapsed: 0.008 s
% 1.40/0.66  % (27382)Instructions burned: 8 (million)
% 1.40/0.66  % (27382)------------------------------
% 1.40/0.66  % (27382)------------------------------
% 1.40/0.66  % (27402)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.01/0.68  % (27384)Instruction limit reached!
% 2.01/0.68  % (27384)------------------------------
% 2.01/0.68  % (27384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.68  % (27384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.68  % (27384)Termination reason: Unknown
% 2.01/0.68  % (27384)Termination phase: Saturation
% 2.01/0.68  
% 2.01/0.68  % (27384)Memory used [KB]: 3070
% 2.01/0.68  % (27384)Time elapsed: 0.035 s
% 2.01/0.68  % (27384)Instructions burned: 51 (million)
% 2.01/0.68  % (27384)------------------------------
% 2.01/0.68  % (27384)------------------------------
% 2.01/0.69  % (27377)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.01/0.71  % (27404)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.01/0.72  % (27397)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 2.01/0.73  % (27390)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 2.01/0.73  % (27383)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.01/0.73  % (27383)Instruction limit reached!
% 2.01/0.73  % (27383)------------------------------
% 2.01/0.73  % (27383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.73  % (27383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.73  % (27383)Termination reason: Unknown
% 2.01/0.73  % (27383)Termination phase: shuffling
% 2.01/0.73  
% 2.01/0.73  % (27383)Memory used [KB]: 1407
% 2.01/0.73  % (27383)Time elapsed: 0.004 s
% 2.01/0.73  % (27383)Instructions burned: 2 (million)
% 2.01/0.73  % (27383)------------------------------
% 2.01/0.73  % (27383)------------------------------
% 2.01/0.74  % (27379)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.01/0.75  % (27393)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.01/0.75  % (27380)Instruction limit reached!
% 2.01/0.75  % (27380)------------------------------
% 2.01/0.75  % (27380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.75  % (27380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.75  % (27380)Termination reason: Unknown
% 2.01/0.75  % (27380)Termination phase: Property scanning
% 2.01/0.75  
% 2.01/0.75  % (27380)Memory used [KB]: 2942
% 2.01/0.75  % (27380)Time elapsed: 0.035 s
% 2.01/0.75  % (27380)Instructions burned: 49 (million)
% 2.01/0.75  % (27380)------------------------------
% 2.01/0.75  % (27380)------------------------------
% 2.01/0.75  % (27386)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.01/0.76  % (27376)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.01/0.77  % (27385)Instruction limit reached!
% 2.01/0.77  % (27385)------------------------------
% 2.01/0.77  % (27385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.77  % (27385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.77  % (27385)Termination reason: Unknown
% 2.01/0.77  % (27385)Termination phase: Property scanning
% 2.01/0.77  
% 2.01/0.77  % (27385)Memory used [KB]: 2942
% 2.01/0.77  % (27385)Time elapsed: 0.035 s
% 2.01/0.77  % (27385)Instructions burned: 50 (million)
% 2.01/0.77  % (27385)------------------------------
% 2.01/0.77  % (27385)------------------------------
% 2.66/0.77  % (27378)Instruction limit reached!
% 2.66/0.77  % (27378)------------------------------
% 2.66/0.77  % (27378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.77  % (27378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.77  % (27378)Termination reason: Unknown
% 2.66/0.77  % (27378)Termination phase: Saturation
% 2.66/0.77  
% 2.66/0.77  % (27378)Memory used [KB]: 7419
% 2.66/0.77  % (27378)Time elapsed: 0.038 s
% 2.66/0.77  % (27378)Instructions burned: 52 (million)
% 2.66/0.77  % (27378)------------------------------
% 2.66/0.77  % (27378)------------------------------
% 2.66/0.77  % (27381)Instruction limit reached!
% 2.66/0.77  % (27381)------------------------------
% 2.66/0.77  % (27381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.77  % (27381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.77  % (27381)Termination reason: Unknown
% 2.66/0.77  % (27381)Termination phase: Finite model building preprocessing
% 2.66/0.77  
% 2.66/0.77  % (27381)Memory used [KB]: 3198
% 2.66/0.77  % (27381)Time elapsed: 0.038 s
% 2.66/0.77  % (27381)Instructions burned: 52 (million)
% 2.66/0.77  % (27381)------------------------------
% 2.66/0.77  % (27381)------------------------------
% 2.66/0.77  % (27392)Instruction limit reached!
% 2.66/0.77  % (27392)------------------------------
% 2.66/0.77  % (27392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.77  % (27392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.77  % (27392)Termination reason: Unknown
% 2.66/0.77  % (27392)Termination phase: Blocked clause elimination
% 2.66/0.77  
% 2.66/0.77  % (27392)Memory used [KB]: 3198
% 2.66/0.77  % (27392)Time elapsed: 0.040 s
% 2.66/0.77  % (27392)Instructions burned: 59 (million)
% 2.66/0.77  % (27392)------------------------------
% 2.66/0.77  % (27392)------------------------------
% 2.66/0.78  % (27391)Instruction limit reached!
% 2.66/0.78  % (27391)------------------------------
% 2.66/0.78  % (27391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.78  % (27391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.78  % (27391)Termination reason: Unknown
% 2.66/0.78  % (27391)Termination phase: Saturation
% 2.66/0.78  
% 2.66/0.78  % (27391)Memory used [KB]: 8187
% 2.66/0.78  % (27391)Time elapsed: 0.306 s
% 2.66/0.78  % (27391)Instructions burned: 99 (million)
% 2.66/0.78  % (27391)------------------------------
% 2.66/0.78  % (27391)------------------------------
% 2.66/0.78  % (27375)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.66/0.79  % (27377)Instruction limit reached!
% 2.66/0.79  % (27377)------------------------------
% 2.66/0.79  % (27377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.79  % (27377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.79  % (27377)Termination reason: Unknown
% 2.66/0.79  % (27377)Termination phase: Function definition elimination
% 2.66/0.79  
% 2.66/0.79  % (27377)Memory used [KB]: 2942
% 2.66/0.79  % (27377)Time elapsed: 0.029 s
% 2.66/0.79  % (27377)Instructions burned: 37 (million)
% 2.66/0.79  % (27377)------------------------------
% 2.66/0.79  % (27377)------------------------------
% 2.93/0.81  % (27389)Instruction limit reached!
% 2.93/0.81  % (27389)------------------------------
% 2.93/0.81  % (27389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.81  % (27389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.81  % (27389)Termination reason: Unknown
% 2.93/0.81  % (27389)Termination phase: Saturation
% 2.93/0.81  
% 2.93/0.81  % (27389)Memory used [KB]: 8571
% 2.93/0.81  % (27389)Time elapsed: 0.047 s
% 2.93/0.81  % (27389)Instructions burned: 68 (million)
% 2.93/0.81  % (27389)------------------------------
% 2.93/0.81  % (27389)------------------------------
% 2.93/0.81  % (27401)Instruction limit reached!
% 2.93/0.81  % (27401)------------------------------
% 2.93/0.81  % (27401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.81  % (27401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.81  % (27401)Termination reason: Unknown
% 2.93/0.81  % (27401)Termination phase: Saturation
% 2.93/0.81  
% 2.93/0.81  % (27401)Memory used [KB]: 8571
% 2.93/0.81  % (27401)Time elapsed: 0.048 s
% 2.93/0.81  % (27401)Instructions burned: 68 (million)
% 2.93/0.81  % (27401)------------------------------
% 2.93/0.81  % (27401)------------------------------
% 3.14/0.86  % (27420)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 3.14/0.89  % (27416)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.14/0.89  % (27388)Instruction limit reached!
% 3.14/0.89  % (27388)------------------------------
% 3.14/0.89  % (27388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.89  % (27388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.89  % (27388)Termination reason: Unknown
% 3.14/0.89  % (27388)Termination phase: Saturation
% 3.14/0.89  
% 3.14/0.89  % (27388)Memory used [KB]: 8059
% 3.14/0.89  % (27388)Time elapsed: 0.429 s
% 3.14/0.89  % (27388)Instructions burned: 99 (million)
% 3.14/0.89  % (27388)------------------------------
% 3.14/0.89  % (27388)------------------------------
% 3.14/0.90  % (27387)Instruction limit reached!
% 3.14/0.90  % (27387)------------------------------
% 3.14/0.90  % (27387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.90  % (27387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.90  % (27387)Termination reason: Unknown
% 3.14/0.90  % (27387)Termination phase: Saturation
% 3.14/0.90  
% 3.14/0.90  % (27387)Memory used [KB]: 8187
% 3.14/0.90  % (27387)Time elapsed: 0.072 s
% 3.14/0.90  % (27387)Instructions burned: 101 (million)
% 3.14/0.90  % (27387)------------------------------
% 3.14/0.90  % (27387)------------------------------
% 3.48/0.90  % (27394)Instruction limit reached!
% 3.48/0.90  % (27394)------------------------------
% 3.48/0.90  % (27394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/0.90  % (27394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/0.90  % (27394)Termination reason: Unknown
% 3.48/0.90  % (27394)Termination phase: Saturation
% 3.48/0.90  
% 3.48/0.90  % (27394)Memory used [KB]: 3582
% 3.48/0.90  % (27394)Time elapsed: 0.437 s
% 3.48/0.90  % (27394)Instructions burned: 101 (million)
% 3.48/0.90  % (27394)------------------------------
% 3.48/0.90  % (27394)------------------------------
% 3.48/0.91  % (27379)Instruction limit reached!
% 3.48/0.91  % (27379)------------------------------
% 3.48/0.91  % (27379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/0.91  % (27379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/0.91  % (27379)Termination reason: Unknown
% 3.48/0.91  % (27379)Termination phase: Property scanning
% 3.48/0.91  
% 3.48/0.91  % (27379)Memory used [KB]: 3070
% 3.48/0.91  % (27379)Time elapsed: 0.036 s
% 3.48/0.91  % (27379)Instructions burned: 51 (million)
% 3.48/0.91  % (27379)------------------------------
% 3.48/0.91  % (27379)------------------------------
% 3.48/0.91  % (27376)Instruction limit reached!
% 3.48/0.91  % (27376)------------------------------
% 3.48/0.91  % (27376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/0.91  % (27376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/0.91  % (27376)Termination reason: Unknown
% 3.48/0.91  % (27376)Termination phase: Saturation
% 3.48/0.91  
% 3.48/0.91  % (27376)Memory used [KB]: 2942
% 3.48/0.91  % (27376)Time elapsed: 0.035 s
% 3.48/0.91  % (27376)Instructions burned: 50 (million)
% 3.48/0.91  % (27376)------------------------------
% 3.48/0.91  % (27376)------------------------------
% 3.48/0.92  % (27390)Instruction limit reached!
% 3.48/0.92  % (27390)------------------------------
% 3.48/0.92  % (27390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/0.92  % (27390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/0.92  % (27390)Termination reason: Unknown
% 3.48/0.92  % (27390)Termination phase: Saturation
% 3.48/0.92  
% 3.48/0.92  % (27390)Memory used [KB]: 3326
% 3.48/0.92  % (27390)Time elapsed: 0.055 s
% 3.48/0.92  % (27390)Instructions burned: 76 (million)
% 3.48/0.92  % (27390)------------------------------
% 3.48/0.92  % (27390)------------------------------
% 3.48/0.92  % (27400)Instruction limit reached!
% 3.48/0.92  % (27400)------------------------------
% 3.48/0.92  % (27400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/0.92  % (27400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/0.92  % (27400)Termination reason: Unknown
% 3.48/0.92  % (27400)Termination phase: Saturation
% 3.48/0.92  
% 3.48/0.92  % (27400)Memory used [KB]: 13304
% 3.48/0.92  % (27400)Time elapsed: 0.442 s
% 3.48/0.92  % (27400)Instructions burned: 500 (million)
% 3.48/0.92  % (27400)------------------------------
% 3.48/0.92  % (27400)------------------------------
% 3.48/0.96  % (27432)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/940Mi)
% 3.73/0.98  % (27445)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 3.73/0.98  % (27426)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/934Mi)
% 3.73/0.99  % (27428)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/655Mi)
% 3.73/0.99  % (27424)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/920Mi)
% 3.73/0.99  % (27427)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/747Mi)
% 3.73/1.00  % (27429)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.73/1.01  % (27396)Instruction limit reached!
% 3.73/1.01  % (27396)------------------------------
% 3.73/1.01  % (27396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/1.01  % (27396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/1.01  % (27396)Termination reason: Unknown
% 3.73/1.01  % (27396)Termination phase: Saturation
% 3.73/1.01  
% 3.73/1.01  % (27396)Memory used [KB]: 8827
% 3.73/1.01  % (27396)Time elapsed: 0.548 s
% 3.73/1.01  % (27396)Instructions burned: 138 (million)
% 3.73/1.01  % (27396)------------------------------
% 3.73/1.01  % (27396)------------------------------
% 3.73/1.01  % (27422)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.73/1.02  % (27445)Instruction limit reached!
% 3.73/1.02  % (27445)------------------------------
% 3.73/1.02  % (27445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/1.02  % (27445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/1.02  % (27445)Termination reason: Unknown
% 3.73/1.02  % (27445)Termination phase: Saturation
% 3.73/1.02  
% 3.73/1.02  % (27445)Memory used [KB]: 8571
% 3.73/1.02  % (27445)Time elapsed: 0.041 s
% 3.73/1.02  % (27445)Instructions burned: 69 (million)
% 3.73/1.02  % (27445)------------------------------
% 3.73/1.02  % (27445)------------------------------
% 3.73/1.03  % (27436)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.73/1.03  % (27435)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.73/1.05  % (27393)Instruction limit reached!
% 3.73/1.05  % (27393)------------------------------
% 3.73/1.05  % (27393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/1.05  % (27393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/1.05  % (27393)Termination reason: Unknown
% 3.73/1.05  % (27393)Termination phase: Saturation
% 3.73/1.05  
% 3.73/1.05  % (27393)Memory used [KB]: 8187
% 3.73/1.05  % (27393)Time elapsed: 0.076 s
% 3.73/1.05  % (27393)Instructions burned: 100 (million)
% 3.73/1.05  % (27393)------------------------------
% 3.73/1.05  % (27393)------------------------------
% 4.07/1.06  % (27386)Instruction limit reached!
% 4.07/1.06  % (27386)------------------------------
% 4.07/1.06  % (27386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.07/1.06  % (27386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.07/1.06  % (27386)Termination reason: Unknown
% 4.07/1.06  % (27386)Termination phase: Saturation
% 4.07/1.06  
% 4.07/1.06  % (27386)Memory used [KB]: 8059
% 4.07/1.06  % (27386)Time elapsed: 0.526 s
% 4.07/1.06  % (27386)Instructions burned: 100 (million)
% 4.07/1.06  % (27386)------------------------------
% 4.07/1.06  % (27386)------------------------------
% 4.07/1.08  % (27452)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 4.07/1.08  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.07/1.08  % (27434)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/981Mi)
% 4.07/1.09  % (27395)Instruction limit reached!
% 4.07/1.09  % (27395)------------------------------
% 4.07/1.09  % (27395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.07/1.09  % (27395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.07/1.09  % (27395)Termination reason: Unknown
% 4.07/1.09  % (27395)Termination phase: Saturation
% 4.07/1.09  
% 4.07/1.09  % (27395)Memory used [KB]: 9083
% 4.07/1.09  % (27395)Time elapsed: 0.629 s
% 4.07/1.09  % (27395)Instructions burned: 177 (million)
% 4.07/1.09  % (27395)------------------------------
% 4.07/1.09  % (27395)------------------------------
% 4.15/1.10  % (27402)Instruction limit reached!
% 4.15/1.10  % (27402)------------------------------
% 4.15/1.10  % (27402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.15/1.10  % (27402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.15/1.10  % (27402)Termination reason: Unknown
% 4.15/1.10  % (27402)Termination phase: Saturation
% 4.15/1.10  
% 4.15/1.10  % (27402)Memory used [KB]: 4477
% 4.15/1.10  % (27402)Time elapsed: 0.640 s
% 4.15/1.10  % (27402)Instructions burned: 177 (million)
% 4.15/1.10  % (27402)------------------------------
% 4.15/1.10  % (27402)------------------------------
% 4.15/1.11  % (27440)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3735Mi)
% 4.15/1.12  % (27442)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4959Mi)
% 4.15/1.12  % (27441)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4958Mi)
% 4.15/1.16  % (27429)Instruction limit reached!
% 4.15/1.16  % (27429)------------------------------
% 4.15/1.16  % (27429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.15/1.16  % (27429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.15/1.16  % (27429)Termination reason: Unknown
% 4.15/1.16  % (27429)Termination phase: Saturation
% 4.15/1.16  
% 4.15/1.16  % (27429)Memory used [KB]: 8571
% 4.15/1.16  % (27429)Time elapsed: 0.046 s
% 4.15/1.16  % (27429)Instructions burned: 68 (million)
% 4.15/1.16  % (27429)------------------------------
% 4.15/1.16  % (27429)------------------------------
% 6.00/1.20  % (27443)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 6.00/1.21  % (27444)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 6.57/1.25  % (27446)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 6.57/1.26  % (27435)Instruction limit reached!
% 6.57/1.26  % (27435)------------------------------
% 6.57/1.26  % (27435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.57/1.26  % (27435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.57/1.26  % (27435)Termination reason: Unknown
% 6.57/1.26  % (27435)Termination phase: Saturation
% 6.57/1.26  
% 6.57/1.26  % (27435)Memory used [KB]: 8187
% 6.57/1.26  % (27435)Time elapsed: 0.384 s
% 6.57/1.26  % (27435)Instructions burned: 91 (million)
% 6.57/1.26  % (27435)------------------------------
% 6.57/1.26  % (27435)------------------------------
% 6.57/1.26  % (27451)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2134Mi)
% 6.57/1.27  % (27422)Instruction limit reached!
% 6.57/1.27  % (27422)------------------------------
% 6.57/1.27  % (27422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.57/1.27  % (27422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.57/1.27  % (27422)Termination reason: Unknown
% 6.57/1.27  % (27422)Termination phase: Saturation
% 6.57/1.27  
% 6.57/1.27  % (27422)Memory used [KB]: 8187
% 6.57/1.27  % (27422)Time elapsed: 0.453 s
% 6.57/1.27  % (27422)Instructions burned: 90 (million)
% 6.57/1.27  % (27422)------------------------------
% 6.57/1.27  % (27422)------------------------------
% 6.75/1.28  % (27420)Instruction limit reached!
% 6.75/1.28  % (27420)------------------------------
% 6.75/1.28  % (27420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.75/1.28  % (27420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.75/1.28  % (27420)Termination reason: Unknown
% 6.75/1.28  % (27420)Termination phase: Saturation
% 6.75/1.28  
% 6.75/1.28  % (27420)Memory used [KB]: 5373
% 6.75/1.28  % (27420)Time elapsed: 0.477 s
% 6.75/1.28  % (27420)Instructions burned: 212 (million)
% 6.75/1.28  % (27420)------------------------------
% 6.75/1.28  % (27420)------------------------------
% 7.08/1.34  % (27455)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2016Mi)
% 7.30/1.36  % (27456)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.30/1.39  % (27453)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4585Mi)
% 7.30/1.40  % (27398)Instruction limit reached!
% 7.30/1.40  % (27398)------------------------------
% 7.30/1.40  % (27398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.30/1.40  % (27398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.30/1.40  % (27398)Termination reason: Unknown
% 7.30/1.40  % (27398)Termination phase: Saturation
% 7.30/1.40  
% 7.30/1.40  % (27398)Memory used [KB]: 12920
% 7.30/1.40  % (27398)Time elapsed: 0.854 s
% 7.30/1.40  % (27398)Instructions burned: 467 (million)
% 7.30/1.40  % (27398)------------------------------
% 7.30/1.40  % (27398)------------------------------
% 7.30/1.40  % (27454)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/90Mi)
% 7.82/1.45  % (27462)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1824Mi)
% 7.82/1.47  % (27459)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9965Mi)
% 8.13/1.51  % (27460)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 8.76/1.58  % (27464)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 8.76/1.58  % (27461)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9902Mi)
% 9.91/1.69  % (27454)Instruction limit reached!
% 9.91/1.69  % (27454)------------------------------
% 9.91/1.69  % (27454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.91/1.69  % (27454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.91/1.69  % (27454)Termination reason: Unknown
% 9.91/1.69  % (27454)Termination phase: Saturation
% 9.91/1.69  
% 9.91/1.69  % (27454)Memory used [KB]: 8187
% 9.91/1.69  % (27454)Time elapsed: 0.560 s
% 9.91/1.69  % (27454)Instructions burned: 91 (million)
% 9.91/1.69  % (27454)------------------------------
% 9.91/1.69  % (27454)------------------------------
% 9.91/1.74  % (27399)Instruction limit reached!
% 9.91/1.74  % (27399)------------------------------
% 9.91/1.74  % (27399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.91/1.74  % (27399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.91/1.74  % (27399)Termination reason: Unknown
% 9.91/1.74  % (27399)Termination phase: Saturation
% 9.91/1.74  
% 9.91/1.74  % (27399)Memory used [KB]: 11001
% 9.91/1.74  % (27399)Time elapsed: 1.257 s
% 9.91/1.74  % (27399)Instructions burned: 482 (million)
% 9.91/1.74  % (27399)------------------------------
% 9.91/1.74  % (27399)------------------------------
% 9.91/1.75  % (27403)Instruction limit reached!
% 9.91/1.75  % (27403)------------------------------
% 9.91/1.75  % (27403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.91/1.75  % (27403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.91/1.75  % (27403)Termination reason: Unknown
% 9.91/1.75  % (27403)Termination phase: Saturation
% 9.91/1.75  
% 9.91/1.75  % (27403)Memory used [KB]: 12537
% 9.91/1.75  % (27403)Time elapsed: 1.266 s
% 9.91/1.75  % (27403)Instructions burned: 440 (million)
% 9.91/1.75  % (27403)------------------------------
% 9.91/1.75  % (27403)------------------------------
% 11.18/1.86  % (27404)Instruction limit reached!
% 11.18/1.86  % (27404)------------------------------
% 11.18/1.86  % (27404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.18/1.86  % (27404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.18/1.86  % (27404)Termination reason: Unknown
% 11.18/1.86  % (27404)Termination phase: Saturation
% 11.18/1.86  
% 11.18/1.86  % (27404)Memory used [KB]: 11001
% 11.18/1.86  % (27404)Time elapsed: 1.396 s
% 11.18/1.86  % (27404)Instructions burned: 356 (million)
% 11.18/1.86  % (27404)------------------------------
% 11.18/1.86  % (27404)------------------------------
% 11.18/1.91  % (27416)Instruction limit reached!
% 11.18/1.91  % (27416)------------------------------
% 11.18/1.91  % (27416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.18/1.91  % (27416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.18/1.91  % (27416)Termination reason: Unknown
% 11.18/1.91  % (27416)Termination phase: Saturation
% 11.18/1.91  
% 11.18/1.91  % (27416)Memory used [KB]: 10234
% 11.18/1.91  % (27416)Time elapsed: 1.204 s
% 11.18/1.91  % (27416)Instructions burned: 388 (million)
% 11.18/1.91  % (27416)------------------------------
% 11.18/1.91  % (27416)------------------------------
% 11.18/1.92  % (27470)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/90Mi)
% 12.17/1.99  % (27471)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/44001Mi)
% 12.17/2.00  % (27469)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/9707Mi)
% 12.58/2.06  % (27397)Instruction limit reached!
% 12.58/2.06  % (27397)------------------------------
% 12.58/2.06  % (27397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.58/2.06  % (27397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.58/2.06  % (27397)Termination reason: Unknown
% 12.58/2.06  % (27397)Termination phase: Saturation
% 12.58/2.06  
% 12.58/2.06  % (27397)Memory used [KB]: 5373
% 12.58/2.06  % (27397)Time elapsed: 1.569 s
% 12.58/2.06  % (27397)Instructions burned: 498 (million)
% 12.58/2.06  % (27397)------------------------------
% 12.58/2.06  % (27397)------------------------------
% 12.68/2.08  % (27470)Instruction limit reached!
% 12.68/2.08  % (27470)------------------------------
% 12.68/2.08  % (27470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.68/2.08  % (27470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.68/2.08  % (27470)Termination reason: Unknown
% 12.68/2.08  % (27470)Termination phase: Saturation
% 12.68/2.08  
% 12.68/2.08  % (27470)Memory used [KB]: 8315
% 12.68/2.08  % (27470)Time elapsed: 0.286 s
% 12.68/2.08  % (27470)Instructions burned: 91 (million)
% 12.68/2.08  % (27470)------------------------------
% 12.68/2.08  % (27470)------------------------------
% 13.37/2.17  % (27475)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/35256Mi)
% 13.37/2.18  % (27473)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/4958Mi)
% 13.96/2.26  % (27478)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/37001Mi)
% 13.96/2.29  % (27428)Instruction limit reached!
% 13.96/2.29  % (27428)------------------------------
% 13.96/2.29  % (27428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.96/2.29  % (27428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.96/2.29  % (27428)Termination reason: Unknown
% 13.96/2.29  % (27428)Termination phase: Saturation
% 13.96/2.29  
% 13.96/2.29  % (27428)Memory used [KB]: 5373
% 13.96/2.29  % (27428)Time elapsed: 1.447 s
% 13.96/2.29  % (27428)Instructions burned: 657 (million)
% 13.96/2.29  % (27428)------------------------------
% 13.96/2.29  % (27428)------------------------------
% 15.40/2.37  % (27477)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/32293Mi)
% 16.54/2.55  % (27427)Instruction limit reached!
% 16.54/2.55  % (27427)------------------------------
% 16.54/2.55  % (27427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.54/2.55  % (27427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.54/2.55  % (27427)Termination reason: Unknown
% 16.54/2.55  % (27427)Termination phase: Saturation
% 16.54/2.55  
% 16.54/2.55  % (27427)Memory used [KB]: 15863
% 16.54/2.55  % (27427)Time elapsed: 1.356 s
% 16.54/2.55  % (27427)Instructions burned: 747 (million)
% 16.54/2.55  % (27427)------------------------------
% 16.54/2.55  % (27427)------------------------------
% 16.54/2.56  % (27481)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/10187Mi)
% 18.13/2.74  % (27482)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/29337Mi)
% 19.09/2.86  % (27432)Instruction limit reached!
% 19.09/2.86  % (27432)------------------------------
% 19.09/2.86  % (27432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.09/2.86  % (27432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.09/2.86  % (27432)Termination reason: Unknown
% 19.09/2.86  % (27432)Termination phase: Saturation
% 19.09/2.86  
% 19.09/2.86  % (27432)Memory used [KB]: 14456
% 19.09/2.86  % (27432)Time elapsed: 1.964 s
% 19.09/2.86  % (27432)Instructions burned: 940 (million)
% 19.09/2.86  % (27432)------------------------------
% 19.09/2.86  % (27432)------------------------------
% 19.09/2.91  % (27426)Instruction limit reached!
% 19.09/2.91  % (27426)------------------------------
% 19.09/2.91  % (27426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.09/2.91  % (27426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.09/2.91  % (27426)Termination reason: Unknown
% 19.09/2.91  % (27426)Termination phase: Saturation
% 19.09/2.91  
% 19.09/2.91  % (27426)Memory used [KB]: 21492
% 19.09/2.91  % (27426)Time elapsed: 2.062 s
% 19.09/2.91  % (27426)Instructions burned: 934 (million)
% 19.09/2.91  % (27426)------------------------------
% 19.09/2.91  % (27426)------------------------------
% 19.73/2.95  TRYING [3]
% 20.36/3.05  % (27485)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/10147Mi)
% 20.36/3.07  % (27452)Instruction limit reached!
% 20.36/3.07  % (27452)------------------------------
% 20.36/3.07  % (27452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.36/3.07  % (27452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.36/3.07  % (27452)Termination reason: Unknown
% 20.36/3.07  % (27452)Termination phase: Saturation
% 20.36/3.07  
% 20.36/3.07  % (27452)Memory used [KB]: 25841
% 20.36/3.07  % (27452)Time elapsed: 1.991 s
% 20.36/3.07  % (27452)Instructions burned: 2892 (million)
% 20.36/3.07  % (27452)------------------------------
% 20.36/3.07  % (27452)------------------------------
% 20.96/3.10  % (27486)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/38056Mi)
% 20.96/3.13  % (27488)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/33239Mi)
% 23.46/3.48  TRYING [3]
% 27.96/4.02  % (27434)Instruction limit reached!
% 27.96/4.02  % (27434)------------------------------
% 27.96/4.02  % (27434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.96/4.02  % (27434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.96/4.02  % (27434)Termination reason: Unknown
% 27.96/4.02  % (27434)Termination phase: Saturation
% 27.96/4.02  
% 27.96/4.02  % (27434)Memory used [KB]: 16758
% 27.96/4.02  % (27434)Time elapsed: 3.165 s
% 27.96/4.02  % (27434)Instructions burned: 981 (million)
% 27.96/4.02  % (27434)------------------------------
% 27.96/4.02  % (27434)------------------------------
% 29.30/4.14  % (27424)Instruction limit reached!
% 29.30/4.14  % (27424)------------------------------
% 29.30/4.14  % (27424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.30/4.14  % (27424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.30/4.14  % (27424)Termination reason: Unknown
% 29.30/4.14  % (27424)Termination phase: Saturation
% 29.30/4.14  
% 29.30/4.14  % (27424)Memory used [KB]: 21364
% 29.30/4.14  % (27424)Time elapsed: 3.268 s
% 29.30/4.14  % (27424)Instructions burned: 920 (million)
% 29.30/4.14  % (27424)------------------------------
% 29.30/4.14  % (27424)------------------------------
% 30.59/4.29  TRYING [3]
% 31.04/4.39  % (27492)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/49917Mi)
% 31.64/4.42  % (27491)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/20987Mi)
% 33.74/4.71  % (27462)Instruction limit reached!
% 33.74/4.71  % (27462)------------------------------
% 33.74/4.71  % (27462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.74/4.71  % (27462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.74/4.71  % (27462)Termination reason: Unknown
% 33.74/4.71  % (27462)Termination phase: Saturation
% 33.74/4.71  
% 33.74/4.71  % (27462)Memory used [KB]: 16630
% 33.74/4.71  % (27462)Time elapsed: 3.339 s
% 33.74/4.71  % (27462)Instructions burned: 1826 (million)
% 33.74/4.71  % (27462)------------------------------
% 33.74/4.71  % (27462)------------------------------
% 36.12/4.99  % (27494)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/19144Mi)
% 36.68/5.06  % (27455)Instruction limit reached!
% 36.68/5.06  % (27455)------------------------------
% 36.68/5.06  % (27455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.68/5.06  % (27455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.68/5.06  % (27455)Termination reason: Unknown
% 36.68/5.06  % (27455)Termination phase: Saturation
% 36.68/5.06  
% 36.68/5.06  % (27455)Memory used [KB]: 8059
% 36.68/5.06  % (27455)Time elapsed: 3.922 s
% 36.68/5.06  % (27455)Instructions burned: 2016 (million)
% 36.68/5.06  % (27455)------------------------------
% 36.68/5.06  % (27455)------------------------------
% 39.14/5.38  % (27495)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/27492Mi)
% 40.17/5.50  % (27436)Instruction limit reached!
% 40.17/5.50  % (27436)------------------------------
% 40.17/5.50  % (27436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.17/5.50  % (27436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.17/5.50  % (27436)Termination reason: Unknown
% 40.17/5.50  % (27436)Termination phase: Saturation
% 40.17/5.50  
% 40.17/5.50  % (27436)Memory used [KB]: 8187
% 40.17/5.50  % (27436)Time elapsed: 4.632 s
% 40.17/5.50  % (27436)Instructions burned: 2017 (million)
% 40.17/5.50  % (27436)------------------------------
% 40.17/5.50  % (27436)------------------------------
% 42.69/5.82  % (27498)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/6101Mi)
% 43.72/6.01  TRYING [3]
% 44.43/6.04  TRYING [3]
% 44.95/6.14  % (27446)Instruction limit reached!
% 44.95/6.14  % (27446)------------------------------
% 44.95/6.14  % (27446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.95/6.14  % (27446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.95/6.14  % (27446)Termination reason: Unknown
% 44.95/6.14  % (27446)Termination phase: Saturation
% 44.95/6.14  
% 44.95/6.14  % (27446)Memory used [KB]: 15863
% 44.95/6.14  % (27446)Time elapsed: 5.114 s
% 44.95/6.14  % (27446)Instructions burned: 1825 (million)
% 44.95/6.14  % (27446)------------------------------
% 44.95/6.14  % (27446)------------------------------
% 47.58/6.42  % (27499)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/90Mi)
% 48.86/6.64  % (27499)Instruction limit reached!
% 48.86/6.64  % (27499)------------------------------
% 48.86/6.64  % (27499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.86/6.64  % (27499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.86/6.64  % (27499)Termination reason: Unknown
% 48.86/6.64  % (27499)Termination phase: Saturation
% 48.86/6.64  
% 48.86/6.64  % (27499)Memory used [KB]: 8187
% 48.86/6.64  % (27499)Time elapsed: 0.376 s
% 48.86/6.64  % (27499)Instructions burned: 90 (million)
% 48.86/6.64  % (27499)------------------------------
% 48.86/6.64  % (27499)------------------------------
% 50.76/6.90  % (27500)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/91600Mi)
% 52.76/7.11  % (27451)Instruction limit reached!
% 52.76/7.11  % (27451)------------------------------
% 52.76/7.11  % (27451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.76/7.11  % (27451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.76/7.11  % (27451)Termination reason: Unknown
% 52.76/7.11  % (27451)Termination phase: Saturation
% 52.76/7.11  
% 52.76/7.11  % (27451)Memory used [KB]: 21492
% 52.76/7.11  % (27451)Time elapsed: 5.846 s
% 52.76/7.11  % (27451)Instructions burned: 2134 (million)
% 52.76/7.11  % (27451)------------------------------
% 52.76/7.11  % (27451)------------------------------
% 55.65/7.45  % (27502)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=7127:si=on:rawr=on:rtra=on_0 on theBenchmark for (2932ds/7127Mi)
% 65.23/8.67  % (27473)First to succeed.
% 67.57/8.94  % (27473)Refutation found. Thanks to Tanya!
% 67.57/8.94  % SZS status Theorem for theBenchmark
% 67.57/8.94  % SZS output start Proof for theBenchmark
% See solution above
% 67.57/8.99  % (27473)------------------------------
% 67.57/8.99  % (27473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 67.57/8.99  % (27473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 67.57/8.99  % (27473)Termination reason: Refutation
% 67.57/8.99  
% 67.57/8.99  % (27473)Memory used [KB]: 13048
% 67.57/8.99  % (27473)Time elapsed: 6.766 s
% 67.57/8.99  % (27473)Instructions burned: 2651 (million)
% 67.57/8.99  % (27473)------------------------------
% 67.57/8.99  % (27473)------------------------------
% 67.57/8.99  % (27374)Success in time 8.62 s
%------------------------------------------------------------------------------