%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC261-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n025.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 18:42:45 EDT 2022

% Result   : Unsatisfiable 124.97s 16.13s
% Output   : Refutation 125.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  816
% Syntax   : Number of formulae    : 2789 (  81 unt;   0 def)
%            Number of atoms       : 10043 (1763 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 13227 (5973   ~;6522   |;   0   &)
%                                         ( 732 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :  747 ( 745 usr; 733 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;   8 con; 0-2 aty)
%            Number of variables   : 1242 (1242   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7304,plain,
    $false,
    inference(avatar_smt_refutation,[],[f232,f237,f242,f247,f252,f257,f258,f263,f268,f273,f277,f278,f279,f284,f289,f296,f301,f306,f311,f316,f321,f347,f352,f399,f412,f416,f420,f424,f451,f455,f468,f472,f476,f492,f497,f502,f504,f520,f525,f530,f531,f545,f546,f575,f585,f591,f641,f646,f665,f681,f686,f691,f696,f701,f706,f711,f716,f723,f729,f731,f737,f744,f746,f755,f758,f759,f761,f773,f775,f778,f790,f792,f796,f797,f827,f830,f845,f846,f858,f869,f874,f883,f887,f896,f902,f916,f921,f930,f935,f940,f949,f971,f974,f975,f977,f988,f997,f1005,f1010,f1015,f1027,f1030,f1043,f1048,f1049,f1068,f1074,f1107,f1112,f1116,f1120,f1124,f1129,f1133,f1137,f1141,f1142,f1146,f1147,f1156,f1161,f1189,f1190,f1194,f1199,f1204,f1208,f1212,f1216,f1229,f1230,f1234,f1238,f1258,f1263,f1268,f1273,f1278,f1284,f1294,f1314,f1319,f1324,f1329,f1332,f1333,f1334,f1335,f1379,f1384,f1389,f1394,f1399,f1404,f1405,f1406,f1411,f1412,f1413,f1418,f1423,f1428,f1429,f1435,f1436,f1437,f1453,f1457,f1461,f1465,f1506,f1507,f1569,f1574,f1579,f1584,f1589,f1634,f1642,f1651,f1654,f1657,f1667,f1688,f1693,f1698,f1703,f1768,f1769,f1791,f1792,f1807,f1810,f1824,f1827,f1842,f1844,f1859,f1863,f1878,f1896,f1901,f1910,f1914,f1919,f1924,f1929,f1934,f1936,f1959,f1965,f2011,f2013,f2019,f2057,f2062,f2067,f2072,f2077,f2082,f2089,f2094,f2100,f2107,f2114,f2123,f2124,f2176,f2184,f2192,f2193,f2207,f2210,f2225,f2227,f2229,f2245,f2246,f2263,f2268,f2273,f2278,f2283,f2288,f2293,f2298,f2307,f2311,f2321,f2343,f2347,f2355,f2356,f2384,f2389,f2394,f2399,f2417,f2425,f2427,f2441,f2446,f2451,f2456,f2491,f2497,f2503,f2509,f2515,f2517,f2526,f2530,f2534,f2538,f2542,f2545,f2570,f2575,f2581,f2588,f2594,f2599,f2607,f2620,f2669,f2703,f2740,f2787,f2806,f2812,f2813,f2814,f2815,f2818,f2825,f2829,f2831,f2834,f2837,f2839,f2844,f2847,f2851,f2853,f2865,f2870,f2875,f2880,f2885,f2890,f2895,f2900,f2902,f2934,f2939,f2948,f2952,f2957,f2963,f2968,f2973,f2978,f3008,f3091,f3098,f3102,f3106,f3110,f3148,f3157,f3162,f3167,f3193,f3214,f3222,f3230,f3232,f3242,f3249,f3252,f3255,f3262,f3269,f3277,f3281,f3284,f3286,f3292,f3296,f3298,f3303,f3308,f3314,f3320,f3326,f3338,f3341,f3347,f3350,f3403,f3407,f3418,f3422,f3426,f3462,f3467,f3472,f3482,f3487,f3492,f3497,f3501,f3506,f3508,f3556,f3560,f3565,f3567,f3597,f3605,f3610,f3619,f3623,f3642,f3651,f3655,f3667,f3672,f3742,f3765,f3774,f3783,f3787,f3792,f3860,f3865,f3947,f3956,f3961,f4012,f4017,f4022,f4031,f4036,f4045,f4054,f4057,f4061,f4095,f4096,f4181,f4229,f4233,f4239,f4243,f4245,f4260,f4265,f4271,f4275,f4284,f4318,f4324,f4331,f4354,f4407,f4414,f4419,f4428,f4440,f4445,f4451,f4456,f4465,f4471,f4473,f4475,f4481,f4486,f4534,f4539,f4548,f4557,f4562,f4567,f4571,f4575,f4580,f4585,f4590,f4594,f4599,f4647,f4656,f4661,f4667,f4672,f4677,f4684,f4690,f4701,f4706,f4731,f4735,f4739,f4747,f4748,f4759,f4764,f4813,f4818,f4823,f4829,f4838,f4846,f4851,f4857,f4862,f4867,f4872,f4878,f4886,f4893,f4895,f4902,f4905,f4945,f4946,f4950,f4958,f4959,f4961,f4962,f4964,f5015,f5031,f5122,f5128,f5133,f5138,f5142,f5147,f5152,f5157,f5163,f5264,f5268,f5269,f5273,f5274,f5278,f5282,f5283,f5287,f5288,f5289,f5290,f5364,f5370,f5376,f5383,f5385,f5392,f5393,f5462,f5471,f5476,f5477,f5481,f5493,f5505,f5510,f5522,f5534,f5546,f5554,f5559,f5564,f5570,f5578,f5582,f5586,f5592,f5620,f5632,f5644,f5656,f5686,f5691,f5696,f5701,f5707,f5712,f5719,f5727,f5732,f5737,f5742,f5747,f5753,f5782,f5786,f5791,f5796,f5798,f5799,f5841,f5845,f5846,f5850,f5854,f5858,f5862,f5867,f5869,f5881,f5902,f5905,f5918,f5943,f5948,f5952,f5953,f5957,f5962,f5966,f5967,f5971,f5981,f5985,f5989,f6013,f6022,f6027,f6029,f6033,f6046,f6067,f6068,f6088,f6089,f6097,f6102,f6110,f6132,f6141,f6149,f6151,f6155,f6180,f6188,f6192,f6193,f6197,f6215,f6218,f6231,f6243,f6250,f6274,f6279,f6281,f6286,f6294,f6306,f6330,f6334,f6335,f6343,f6348,f6350,f6391,f6399,f6403,f6404,f6409,f6452,f6457,f6464,f6469,f6474,f6479,f6484,f6489,f6494,f6499,f6503,f6526,f6530,f6534,f6538,f6542,f6546,f6550,f6554,f6558,f6562,f6566,f6571,f6576,f6594,f6598,f6602,f6606,f6610,f6615,f6619,f6620,f6624,f6628,f6630,f6634,f6652,f6656,f6660,f6665,f6669,f6673,f6677,f6681,f6685,f6689,f6691,f6695,f6726,f6731,f6736,f6741,f6747,f6752,f6758,f6763,f6769,f6774,f6779,f6784,f6815,f6820,f6825,f6830,f6836,f6841,f6846,f6851,f6856,f6861,f6866,f6871,f6881,f6885,f6890,f6899,f6904,f6934,f6939,f6943,f6947,f6951,f6952,f6956,f6965,f6966,f6970,f6972,f7003,f7008,f7014,f7019,f7024,f7029,f7036,f7041,f7046,f7051,f7056,f7061,f7093,f7098,f7103,f7108,f7113,f7118,f7123,f7128,f7133,f7138,f7143,f7148,f7157,f7161,f7182,f7186,f7191,f7195,f7199,f7203,f7207,f7208,f7210,f7214,f7218,f7222,f7242,f7246,f7250,f7254,f7259,f7263,f7267,f7271,f7275,f7279,f7281,f7285,f7297,f7298,f7303]) ).

fof(f7303,plain,
    ( spl0_732
    | ~ spl0_38
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f7287,f2970,f448,f7300]) ).

fof(f7300,plain,
    ( spl0_732
  <=> app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(skaf42(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),skaf64(sk3)),cons(skaf64(sk3),skaf43(skaf64(sk3),app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).

fof(f448,plain,
    ( spl0_38
  <=> ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2970,plain,
    ( spl0_282
  <=> memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),skaf64(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f7287,plain,
    ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(skaf42(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),skaf64(sk3)),cons(skaf64(sk3),skaf43(skaf64(sk3),app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))))
    | ~ spl0_282 ),
    inference(resolution,[],[f2972,f358]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,skaf64(X1))
      | ~ ssList(X0)
      | app(skaf42(X0,skaf64(X1)),cons(skaf64(X1),skaf43(skaf64(X1),X0))) = X0 ),
    inference(resolution,[],[f31,f169]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
      | ~ memberP(X0,X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f31,axiom,
    ! [X0] : ssItem(skaf64(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f2972,plain,
    ( memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),skaf64(sk3))
    | ~ spl0_282 ),
    inference(avatar_component_clause,[],[f2970]) ).

fof(f7298,plain,
    ( spl0_284
    | ~ spl0_262
    | ~ spl0_43
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f7288,f2970,f470,f2700,f3005]) ).

fof(f3005,plain,
    ( spl0_284
  <=> memberP(sk3,skaf64(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f2700,plain,
    ( spl0_262
  <=> ssItem(skaf64(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f470,plain,
    ( spl0_43
  <=> ! [X3] :
        ( ~ memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X3)
        | memberP(sk3,X3)
        | ~ ssItem(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f7288,plain,
    ( ~ ssItem(skaf64(sk3))
    | memberP(sk3,skaf64(sk3))
    | ~ spl0_43
    | ~ spl0_282 ),
    inference(resolution,[],[f2972,f471]) ).

fof(f471,plain,
    ( ! [X3] :
        ( ~ memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X3)
        | ~ ssItem(X3)
        | memberP(sk3,X3) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f7297,plain,
    ( spl0_730
    | ~ spl0_142
    | spl0_731
    | ~ spl0_143
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f7286,f2970,f1291,f7294,f1287,f7290]) ).

fof(f7290,plain,
    ( spl0_730
  <=> memberP(skaf66(sk3),skaf64(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).

fof(f1287,plain,
    ( spl0_142
  <=> ssList(cons(skaf64(sk3),skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f7294,plain,
    ( spl0_731
  <=> memberP(cons(skaf64(sk3),skaf67(sk3)),skaf64(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).

fof(f1291,plain,
    ( spl0_143
  <=> ssList(skaf66(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f7286,plain,
    ( ~ ssList(skaf66(sk3))
    | memberP(cons(skaf64(sk3),skaf67(sk3)),skaf64(sk3))
    | ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
    | memberP(skaf66(sk3),skaf64(sk3))
    | ~ spl0_282 ),
    inference(resolution,[],[f2972,f359]) ).

fof(f359,plain,
    ! [X2,X3,X4] :
      ( ~ memberP(app(X4,X2),skaf64(X3))
      | ~ ssList(X2)
      | memberP(X4,skaf64(X3))
      | ~ ssList(X4)
      | memberP(X2,skaf64(X3)) ),
    inference(resolution,[],[f31,f158]) ).

fof(f158,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssList(X1)
      | memberP(X1,X2)
      | ~ ssList(X0)
      | ~ memberP(app(X0,X1),X2)
      | memberP(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f7285,plain,
    ( ~ spl0_7
    | spl0_729
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7233,f260,f7283,f260]) ).

fof(f7283,plain,
    ( spl0_729
  <=> ! [X16,X15] :
        ( ~ ssList(cons(skaf64(X15),nil))
        | cons(skaf64(X15),sk3) != app(X16,sk3)
        | cons(skaf64(X15),nil) = X16
        | ~ ssList(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).

fof(f260,plain,
    ( spl0_7
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f7233,plain,
    ( ! [X16,X15] :
        ( ~ ssList(cons(skaf64(X15),nil))
        | ~ ssList(sk3)
        | ~ ssList(X16)
        | cons(skaf64(X15),nil) = X16
        | cons(skaf64(X15),sk3) != app(X16,sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f151,f2720]) ).

fof(f2720,plain,
    ( ! [X31] : app(cons(skaf64(X31),nil),sk3) = cons(skaf64(X31),sk3)
    | ~ spl0_7 ),
    inference(resolution,[],[f596,f262]) ).

fof(f262,plain,
    ( ssList(sk3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f596,plain,
    ! [X8,X7] :
      ( ~ ssList(X7)
      | app(cons(skaf64(X8),nil),X7) = cons(skaf64(X8),X7) ),
    inference(resolution,[],[f120,f31]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != app(X2,X1)
      | X0 = X2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f7281,plain,
    ( spl0_723
    | ~ spl0_7
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7280,f260,f260,f7257]) ).

fof(f7257,plain,
    ( spl0_723
  <=> ! [X9,X10] :
        ( cons(skaf64(X9),X10) != cons(skaf64(X9),sk3)
        | ~ ssList(cons(skaf64(X9),nil))
        | ~ ssList(X10)
        | sk3 = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).

fof(f7280,plain,
    ( ! [X11,X12] :
        ( ~ ssList(sk3)
        | sk3 = X12
        | cons(skaf64(X11),sk3) != cons(skaf64(X11),X12)
        | ~ ssList(X12)
        | ~ ssList(cons(skaf64(X11),nil)) )
    | ~ spl0_7 ),
    inference(forward_subsumption_demodulation,[],[f7231,f596]) ).

fof(f7231,plain,
    ( ! [X11,X12] :
        ( ~ ssList(sk3)
        | sk3 = X12
        | ~ ssList(cons(skaf64(X11),nil))
        | app(cons(skaf64(X11),nil),X12) != cons(skaf64(X11),sk3)
        | ~ ssList(X12) )
    | ~ spl0_7 ),
    inference(superposition,[],[f150,f2720]) ).

fof(f150,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != app(X0,X2)
      | X1 = X2
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f7279,plain,
    ( ~ spl0_7
    | spl0_728
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7235,f260,f7277,f260]) ).

fof(f7277,plain,
    ( spl0_728
  <=> ! [X18,X19] :
        ( ~ ssList(cons(skaf64(X18),nil))
        | ~ memberP(cons(skaf64(X18),sk3),skaf65(X19))
        | memberP(cons(skaf64(X18),nil),skaf65(X19))
        | memberP(sk3,skaf65(X19)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).

fof(f7235,plain,
    ( ! [X18,X19] :
        ( ~ ssList(cons(skaf64(X18),nil))
        | memberP(sk3,skaf65(X19))
        | memberP(cons(skaf64(X18),nil),skaf65(X19))
        | ~ ssList(sk3)
        | ~ memberP(cons(skaf64(X18),sk3),skaf65(X19)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f357,f2720]) ).

fof(f357,plain,
    ! [X2,X3,X4] :
      ( ~ memberP(app(X4,X2),skaf65(X3))
      | ~ ssList(X4)
      | memberP(X4,skaf65(X3))
      | memberP(X2,skaf65(X3))
      | ~ ssList(X2) ),
    inference(resolution,[],[f30,f158]) ).

fof(f30,axiom,
    ! [X0] : ssItem(skaf65(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f7275,plain,
    ( ~ spl0_7
    | spl0_727
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7226,f260,f7273,f260]) ).

fof(f7273,plain,
    ( spl0_727
  <=> ! [X3] :
        ( nil = cons(skaf64(X3),nil)
        | nil != cons(skaf64(X3),sk3)
        | ~ ssList(cons(skaf64(X3),nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).

fof(f7226,plain,
    ( ! [X3] :
        ( nil = cons(skaf64(X3),nil)
        | ~ ssList(cons(skaf64(X3),nil))
        | ~ ssList(sk3)
        | nil != cons(skaf64(X3),sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f118,f2720]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f7271,plain,
    ( ~ spl0_7
    | spl0_726
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7229,f260,f7269,f260]) ).

fof(f7269,plain,
    ( spl0_726
  <=> ! [X8,X7] :
        ( ~ ssItem(X8)
        | ~ ssList(cons(skaf64(X7),nil))
        | memberP(cons(skaf64(X7),sk3),X8)
        | ~ memberP(sk3,X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).

fof(f7229,plain,
    ( ! [X8,X7] :
        ( ~ ssItem(X8)
        | ~ memberP(sk3,X8)
        | memberP(cons(skaf64(X7),sk3),X8)
        | ~ ssList(cons(skaf64(X7),nil))
        | ~ ssList(sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f141,f2720]) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f7267,plain,
    ( ~ spl0_7
    | spl0_725
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7237,f260,f7265,f260]) ).

fof(f7265,plain,
    ( spl0_725
  <=> ! [X22,X23] :
        ( ~ ssList(cons(skaf64(X22),nil))
        | nil = X23
        | ~ ssList(X23)
        | memberP(sk3,hd(X23))
        | ~ memberP(cons(skaf64(X22),sk3),hd(X23))
        | memberP(cons(skaf64(X22),nil),hd(X23)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).

fof(f7237,plain,
    ( ! [X22,X23] :
        ( ~ ssList(cons(skaf64(X22),nil))
        | memberP(cons(skaf64(X22),nil),hd(X23))
        | ~ memberP(cons(skaf64(X22),sk3),hd(X23))
        | ~ ssList(sk3)
        | memberP(sk3,hd(X23))
        | ~ ssList(X23)
        | nil = X23 )
    | ~ spl0_7 ),
    inference(superposition,[],[f527,f2720]) ).

fof(f527,plain,
    ! [X2,X3,X4] :
      ( ~ memberP(app(X4,X3),hd(X2))
      | ~ ssList(X4)
      | nil = X2
      | memberP(X4,hd(X2))
      | memberP(X3,hd(X2))
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(resolution,[],[f76,f158]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f7263,plain,
    ( ~ spl0_7
    | spl0_724
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7228,f260,f7261,f260]) ).

fof(f7261,plain,
    ( spl0_724
  <=> ! [X6,X5] :
        ( ~ memberP(cons(skaf64(X5),nil),X6)
        | ~ ssList(cons(skaf64(X5),nil))
        | memberP(cons(skaf64(X5),sk3),X6)
        | ~ ssItem(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).

fof(f7228,plain,
    ( ! [X6,X5] :
        ( ~ memberP(cons(skaf64(X5),nil),X6)
        | ~ ssList(sk3)
        | ~ ssItem(X6)
        | memberP(cons(skaf64(X5),sk3),X6)
        | ~ ssList(cons(skaf64(X5),nil)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f140,f2720]) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ memberP(X0,X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f7259,plain,
    ( ~ spl0_7
    | spl0_723
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7255,f260,f7257,f260]) ).

fof(f7255,plain,
    ( ! [X10,X9] :
        ( cons(skaf64(X9),X10) != cons(skaf64(X9),sk3)
        | sk3 = X10
        | ~ ssList(sk3)
        | ~ ssList(X10)
        | ~ ssList(cons(skaf64(X9),nil)) )
    | ~ spl0_7 ),
    inference(forward_subsumption_demodulation,[],[f7230,f596]) ).

fof(f7230,plain,
    ( ! [X10,X9] :
        ( ~ ssList(sk3)
        | sk3 = X10
        | app(cons(skaf64(X9),nil),X10) != cons(skaf64(X9),sk3)
        | ~ ssList(X10)
        | ~ ssList(cons(skaf64(X9),nil)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f150,f2720]) ).

fof(f7254,plain,
    ( spl0_722
    | ~ spl0_7
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7225,f260,f260,f7252]) ).

fof(f7252,plain,
    ( spl0_722
  <=> ! [X2] :
        ( ~ ssList(cons(skaf64(X2),nil))
        | ssList(cons(skaf64(X2),sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).

fof(f7225,plain,
    ( ! [X2] :
        ( ~ ssList(sk3)
        | ~ ssList(cons(skaf64(X2),nil))
        | ssList(cons(skaf64(X2),sk3)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f85,f2720]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f7250,plain,
    ( spl0_53
    | spl0_721
    | ~ spl0_7
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7227,f260,f260,f7248,f582]) ).

fof(f582,plain,
    ( spl0_53
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f7248,plain,
    ( spl0_721
  <=> ! [X4] :
        ( ~ ssList(cons(skaf64(X4),nil))
        | nil != cons(skaf64(X4),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).

fof(f7227,plain,
    ( ! [X4] :
        ( ~ ssList(sk3)
        | ~ ssList(cons(skaf64(X4),nil))
        | nil = sk3
        | nil != cons(skaf64(X4),sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f119,f2720]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | nil = X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f7246,plain,
    ( ~ spl0_7
    | spl0_720
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7232,f260,f7244,f260]) ).

fof(f7244,plain,
    ( spl0_720
  <=> ! [X13,X14] :
        ( cons(skaf64(X13),nil) = X14
        | ~ ssList(cons(skaf64(X13),nil))
        | ~ ssList(X14)
        | app(X14,sk3) != cons(skaf64(X13),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).

fof(f7232,plain,
    ( ! [X14,X13] :
        ( cons(skaf64(X13),nil) = X14
        | app(X14,sk3) != cons(skaf64(X13),sk3)
        | ~ ssList(X14)
        | ~ ssList(cons(skaf64(X13),nil))
        | ~ ssList(sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f151,f2720]) ).

fof(f7242,plain,
    ( ~ spl0_7
    | spl0_719
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7236,f260,f7240,f260]) ).

fof(f7240,plain,
    ( spl0_719
  <=> ! [X20,X21] :
        ( ~ ssList(cons(skaf64(X20),nil))
        | ~ memberP(cons(skaf64(X20),sk3),skaf64(X21))
        | memberP(sk3,skaf64(X21))
        | memberP(cons(skaf64(X20),nil),skaf64(X21)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).

fof(f7236,plain,
    ( ! [X21,X20] :
        ( ~ ssList(cons(skaf64(X20),nil))
        | memberP(cons(skaf64(X20),nil),skaf64(X21))
        | memberP(sk3,skaf64(X21))
        | ~ ssList(sk3)
        | ~ memberP(cons(skaf64(X20),sk3),skaf64(X21)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f359,f2720]) ).

fof(f7222,plain,
    ( ~ spl0_7
    | spl0_718
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7176,f260,f7220,f260]) ).

fof(f7220,plain,
    ( spl0_718
  <=> ! [X20,X21] :
        ( ~ memberP(cons(skaf65(X20),sk3),skaf64(X21))
        | memberP(sk3,skaf64(X21))
        | memberP(cons(skaf65(X20),nil),skaf64(X21))
        | ~ ssList(cons(skaf65(X20),nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).

fof(f7176,plain,
    ( ! [X21,X20] :
        ( ~ memberP(cons(skaf65(X20),sk3),skaf64(X21))
        | ~ ssList(sk3)
        | ~ ssList(cons(skaf65(X20),nil))
        | memberP(cons(skaf65(X20),nil),skaf64(X21))
        | memberP(sk3,skaf64(X21)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f359,f2693]) ).

fof(f2693,plain,
    ( ! [X31] : cons(skaf65(X31),sk3) = app(cons(skaf65(X31),nil),sk3)
    | ~ spl0_7 ),
    inference(resolution,[],[f595,f262]) ).

fof(f595,plain,
    ! [X6,X5] :
      ( ~ ssList(X5)
      | app(cons(skaf65(X6),nil),X5) = cons(skaf65(X6),X5) ),
    inference(resolution,[],[f120,f30]) ).

fof(f7218,plain,
    ( ~ spl0_7
    | spl0_717
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7169,f260,f7216,f260]) ).

fof(f7216,plain,
    ( spl0_717
  <=> ! [X8,X7] :
        ( memberP(cons(skaf65(X7),sk3),X8)
        | ~ ssList(cons(skaf65(X7),nil))
        | ~ memberP(sk3,X8)
        | ~ ssItem(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).

fof(f7169,plain,
    ( ! [X8,X7] :
        ( memberP(cons(skaf65(X7),sk3),X8)
        | ~ ssItem(X8)
        | ~ memberP(sk3,X8)
        | ~ ssList(cons(skaf65(X7),nil))
        | ~ ssList(sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f141,f2693]) ).

fof(f7214,plain,
    ( ~ spl0_7
    | spl0_716
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7175,f260,f7212,f260]) ).

fof(f7212,plain,
    ( spl0_716
  <=> ! [X18,X19] :
        ( ~ ssList(cons(skaf65(X18),nil))
        | ~ memberP(cons(skaf65(X18),sk3),skaf65(X19))
        | memberP(sk3,skaf65(X19))
        | memberP(cons(skaf65(X18),nil),skaf65(X19)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).

fof(f7175,plain,
    ( ! [X18,X19] :
        ( ~ ssList(cons(skaf65(X18),nil))
        | ~ ssList(sk3)
        | memberP(cons(skaf65(X18),nil),skaf65(X19))
        | memberP(sk3,skaf65(X19))
        | ~ memberP(cons(skaf65(X18),sk3),skaf65(X19)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f357,f2693]) ).

fof(f7210,plain,
    ( spl0_711
    | ~ spl0_7
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7209,f260,f260,f7189]) ).

fof(f7189,plain,
    ( spl0_711
  <=> ! [X11,X12] :
        ( sk3 = X12
        | cons(skaf65(X11),X12) != cons(skaf65(X11),sk3)
        | ~ ssList(cons(skaf65(X11),nil))
        | ~ ssList(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).

fof(f7209,plain,
    ( ! [X10,X9] :
        ( ~ ssList(sk3)
        | ~ ssList(cons(skaf65(X9),nil))
        | cons(skaf65(X9),X10) != cons(skaf65(X9),sk3)
        | sk3 = X10
        | ~ ssList(X10) )
    | ~ spl0_7 ),
    inference(forward_subsumption_demodulation,[],[f7170,f595]) ).

fof(f7170,plain,
    ( ! [X10,X9] :
        ( ~ ssList(X10)
        | app(cons(skaf65(X9),nil),X10) != cons(skaf65(X9),sk3)
        | ~ ssList(cons(skaf65(X9),nil))
        | sk3 = X10
        | ~ ssList(sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f150,f2693]) ).

fof(f7208,plain,
    ( ~ spl0_7
    | spl0_709
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7172,f260,f7180,f260]) ).

fof(f7180,plain,
    ( spl0_709
  <=> ! [X16,X15] :
        ( cons(skaf65(X15),nil) = X16
        | app(X16,sk3) != cons(skaf65(X15),sk3)
        | ~ ssList(cons(skaf65(X15),nil))
        | ~ ssList(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).

fof(f7172,plain,
    ( ! [X14,X13] :
        ( cons(skaf65(X13),nil) = X14
        | ~ ssList(X14)
        | app(X14,sk3) != cons(skaf65(X13),sk3)
        | ~ ssList(sk3)
        | ~ ssList(cons(skaf65(X13),nil)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f151,f2693]) ).

fof(f7207,plain,
    ( ~ spl0_7
    | spl0_715
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7166,f260,f7205,f260]) ).

fof(f7205,plain,
    ( spl0_715
  <=> ! [X3] :
        ( nil = cons(skaf65(X3),nil)
        | ~ ssList(cons(skaf65(X3),nil))
        | nil != cons(skaf65(X3),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).

fof(f7166,plain,
    ( ! [X3] :
        ( nil = cons(skaf65(X3),nil)
        | ~ ssList(sk3)
        | nil != cons(skaf65(X3),sk3)
        | ~ ssList(cons(skaf65(X3),nil)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f118,f2693]) ).

fof(f7203,plain,
    ( ~ spl0_7
    | spl0_714
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7168,f260,f7201,f260]) ).

fof(f7201,plain,
    ( spl0_714
  <=> ! [X6,X5] :
        ( ~ ssItem(X6)
        | ~ ssList(cons(skaf65(X5),nil))
        | ~ memberP(cons(skaf65(X5),nil),X6)
        | memberP(cons(skaf65(X5),sk3),X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).

fof(f7168,plain,
    ( ! [X6,X5] :
        ( ~ ssItem(X6)
        | memberP(cons(skaf65(X5),sk3),X6)
        | ~ memberP(cons(skaf65(X5),nil),X6)
        | ~ ssList(cons(skaf65(X5),nil))
        | ~ ssList(sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f140,f2693]) ).

fof(f7199,plain,
    ( ~ spl0_7
    | spl0_713
    | spl0_53
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7167,f260,f582,f7197,f260]) ).

fof(f7197,plain,
    ( spl0_713
  <=> ! [X4] :
        ( ~ ssList(cons(skaf65(X4),nil))
        | nil != cons(skaf65(X4),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).

fof(f7167,plain,
    ( ! [X4] :
        ( nil = sk3
        | ~ ssList(cons(skaf65(X4),nil))
        | nil != cons(skaf65(X4),sk3)
        | ~ ssList(sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f119,f2693]) ).

fof(f7195,plain,
    ( ~ spl0_7
    | spl0_712
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7177,f260,f7193,f260]) ).

fof(f7193,plain,
    ( spl0_712
  <=> ! [X22,X23] :
        ( nil = X23
        | ~ ssList(cons(skaf65(X22),nil))
        | ~ memberP(cons(skaf65(X22),sk3),hd(X23))
        | memberP(sk3,hd(X23))
        | memberP(cons(skaf65(X22),nil),hd(X23))
        | ~ ssList(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).

fof(f7177,plain,
    ( ! [X22,X23] :
        ( nil = X23
        | ~ ssList(sk3)
        | ~ ssList(X23)
        | memberP(cons(skaf65(X22),nil),hd(X23))
        | memberP(sk3,hd(X23))
        | ~ memberP(cons(skaf65(X22),sk3),hd(X23))
        | ~ ssList(cons(skaf65(X22),nil)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f527,f2693]) ).

fof(f7191,plain,
    ( spl0_711
    | ~ spl0_7
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7187,f260,f260,f7189]) ).

fof(f7187,plain,
    ( ! [X11,X12] :
        ( ~ ssList(sk3)
        | sk3 = X12
        | ~ ssList(X12)
        | ~ ssList(cons(skaf65(X11),nil))
        | cons(skaf65(X11),X12) != cons(skaf65(X11),sk3) )
    | ~ spl0_7 ),
    inference(forward_subsumption_demodulation,[],[f7171,f595]) ).

fof(f7171,plain,
    ( ! [X11,X12] :
        ( ~ ssList(sk3)
        | app(cons(skaf65(X11),nil),X12) != cons(skaf65(X11),sk3)
        | ~ ssList(X12)
        | sk3 = X12
        | ~ ssList(cons(skaf65(X11),nil)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f150,f2693]) ).

fof(f7186,plain,
    ( ~ spl0_7
    | spl0_710
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7165,f260,f7184,f260]) ).

fof(f7184,plain,
    ( spl0_710
  <=> ! [X2] :
        ( ssList(cons(skaf65(X2),sk3))
        | ~ ssList(cons(skaf65(X2),nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).

fof(f7165,plain,
    ( ! [X2] :
        ( ssList(cons(skaf65(X2),sk3))
        | ~ ssList(sk3)
        | ~ ssList(cons(skaf65(X2),nil)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f85,f2693]) ).

fof(f7182,plain,
    ( ~ spl0_7
    | spl0_709
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f7173,f260,f7180,f260]) ).

fof(f7173,plain,
    ( ! [X16,X15] :
        ( cons(skaf65(X15),nil) = X16
        | ~ ssList(X16)
        | ~ ssList(sk3)
        | ~ ssList(cons(skaf65(X15),nil))
        | app(X16,sk3) != cons(skaf65(X15),sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f151,f2693]) ).

fof(f7161,plain,
    ( ~ spl0_208
    | spl0_708
    | ~ spl0_159
    | ~ spl0_669 ),
    inference(avatar_split_clause,[],[f7150,f6887,f1451,f7159,f2170]) ).

fof(f2170,plain,
    ( spl0_208
  <=> ssList(cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f7159,plain,
    ( spl0_708
  <=> ! [X1] :
        ( ~ ssList(app(cons(sk5,sk3),X1))
        | ~ ssList(X1)
        | app(cons(sk5,sk3),X1) = app(skaf42(app(cons(sk5,sk3),X1),sk5),cons(sk5,skaf43(sk5,app(cons(sk5,sk3),X1)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).

fof(f1451,plain,
    ( spl0_159
  <=> ! [X6,X5] :
        ( ~ ssList(X5)
        | app(X5,X6) = app(skaf42(app(X5,X6),sk5),cons(sk5,skaf43(sk5,app(X5,X6))))
        | ~ ssList(X6)
        | ~ ssList(app(X5,X6))
        | ~ memberP(X5,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f6887,plain,
    ( spl0_669
  <=> memberP(cons(sk5,sk3),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).

fof(f7150,plain,
    ( ! [X1] :
        ( ~ ssList(app(cons(sk5,sk3),X1))
        | ~ ssList(cons(sk5,sk3))
        | app(cons(sk5,sk3),X1) = app(skaf42(app(cons(sk5,sk3),X1),sk5),cons(sk5,skaf43(sk5,app(cons(sk5,sk3),X1))))
        | ~ ssList(X1) )
    | ~ spl0_159
    | ~ spl0_669 ),
    inference(resolution,[],[f6889,f1452]) ).

fof(f1452,plain,
    ( ! [X6,X5] :
        ( ~ memberP(X5,sk5)
        | ~ ssList(X5)
        | ~ ssList(X6)
        | app(X5,X6) = app(skaf42(app(X5,X6),sk5),cons(sk5,skaf43(sk5,app(X5,X6))))
        | ~ ssList(app(X5,X6)) )
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1451]) ).

fof(f6889,plain,
    ( memberP(cons(sk5,sk3),sk5)
    | ~ spl0_669 ),
    inference(avatar_component_clause,[],[f6887]) ).

fof(f7157,plain,
    ( spl0_707
    | ~ spl0_208
    | ~ spl0_161
    | ~ spl0_669 ),
    inference(avatar_split_clause,[],[f7149,f6887,f1459,f2170,f7155]) ).

fof(f7155,plain,
    ( spl0_707
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(app(X0,cons(sk5,sk3)))
        | app(skaf42(app(X0,cons(sk5,sk3)),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,sk3))))) = app(X0,cons(sk5,sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).

fof(f1459,plain,
    ( spl0_161
  <=> ! [X4,X3] :
        ( ~ ssList(X3)
        | ~ ssList(X4)
        | ~ memberP(X4,sk5)
        | app(X3,X4) = app(skaf42(app(X3,X4),sk5),cons(sk5,skaf43(sk5,app(X3,X4))))
        | ~ ssList(app(X3,X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f7149,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sk5,sk3))
        | ~ ssList(X0)
        | app(skaf42(app(X0,cons(sk5,sk3)),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,sk3))))) = app(X0,cons(sk5,sk3))
        | ~ ssList(app(X0,cons(sk5,sk3))) )
    | ~ spl0_161
    | ~ spl0_669 ),
    inference(resolution,[],[f6889,f1460]) ).

fof(f1460,plain,
    ( ! [X3,X4] :
        ( ~ memberP(X4,sk5)
        | ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssList(app(X3,X4))
        | app(X3,X4) = app(skaf42(app(X3,X4),sk5),cons(sk5,skaf43(sk5,app(X3,X4)))) )
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1459]) ).

fof(f7148,plain,
    ( spl0_706
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f7076,f2340,f308,f7145]) ).

fof(f7145,plain,
    ( spl0_706
  <=> cons(sk5,cons(sk5,nil)) = app(nil,cons(sk5,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).

fof(f308,plain,
    ( spl0_17
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2340,plain,
    ( spl0_230
  <=> ssList(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f7076,plain,
    ( cons(sk5,cons(sk5,nil)) = app(nil,cons(sk5,cons(sk5,nil)))
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(resolution,[],[f2663,f2341]) ).

fof(f2341,plain,
    ( ssList(cons(sk5,nil))
    | ~ spl0_230 ),
    inference(avatar_component_clause,[],[f2340]) ).

fof(f2663,plain,
    ( ! [X10] :
        ( ~ ssList(X10)
        | cons(sk5,X10) = app(nil,cons(sk5,X10)) )
    | ~ spl0_17 ),
    inference(resolution,[],[f540,f310]) ).

fof(f310,plain,
    ( ssItem(sk5)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | cons(X1,X0) = app(nil,cons(X1,X0))
      | ~ ssList(X0) ),
    inference(resolution,[],[f86,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f7143,plain,
    ( spl0_705
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f7084,f6316,f308,f7140]) ).

fof(f7140,plain,
    ( spl0_705
  <=> app(nil,cons(sk5,app(sk3,tl(sk3)))) = cons(sk5,app(sk3,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).

fof(f6316,plain,
    ( spl0_581
  <=> ssList(app(sk3,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).

fof(f7084,plain,
    ( app(nil,cons(sk5,app(sk3,tl(sk3)))) = cons(sk5,app(sk3,tl(sk3)))
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(resolution,[],[f2663,f6317]) ).

fof(f6317,plain,
    ( ssList(app(sk3,tl(sk3)))
    | ~ spl0_581 ),
    inference(avatar_component_clause,[],[f6316]) ).

fof(f7138,plain,
    ( spl0_704
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f7082,f678,f308,f7135]) ).

fof(f7135,plain,
    ( spl0_704
  <=> cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) = app(nil,cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).

fof(f678,plain,
    ( spl0_60
  <=> ssList(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f7082,plain,
    ( cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) = app(nil,cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(resolution,[],[f2663,f679]) ).

fof(f679,plain,
    ( ssList(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f7133,plain,
    ( spl0_703
    | ~ spl0_17
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f7077,f3236,f308,f7130]) ).

fof(f7130,plain,
    ( spl0_703
  <=> app(nil,cons(sk5,cons(sk5,skaf68(sk3)))) = cons(sk5,cons(sk5,skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).

fof(f3236,plain,
    ( spl0_297
  <=> ssList(cons(sk5,skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f7077,plain,
    ( app(nil,cons(sk5,cons(sk5,skaf68(sk3)))) = cons(sk5,cons(sk5,skaf68(sk3)))
    | ~ spl0_17
    | ~ spl0_297 ),
    inference(resolution,[],[f2663,f3237]) ).

fof(f3237,plain,
    ( ssList(cons(sk5,skaf68(sk3)))
    | ~ spl0_297 ),
    inference(avatar_component_clause,[],[f3236]) ).

fof(f7128,plain,
    ( spl0_702
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f7083,f4728,f308,f7125]) ).

fof(f7125,plain,
    ( spl0_702
  <=> app(nil,cons(sk5,app(sk3,sk3))) = cons(sk5,app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).

fof(f4728,plain,
    ( spl0_430
  <=> ssList(app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f7083,plain,
    ( app(nil,cons(sk5,app(sk3,sk3))) = cons(sk5,app(sk3,sk3))
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(resolution,[],[f2663,f4729]) ).

fof(f4729,plain,
    ( ssList(app(sk3,sk3))
    | ~ spl0_430 ),
    inference(avatar_component_clause,[],[f4728]) ).

fof(f7123,plain,
    ( spl0_701
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7081,f448,f308,f7120]) ).

fof(f7120,plain,
    ( spl0_701
  <=> app(nil,cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))) = cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).

fof(f7081,plain,
    ( app(nil,cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))) = cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(resolution,[],[f2663,f449]) ).

fof(f449,plain,
    ( ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f7118,plain,
    ( spl0_700
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f7075,f1376,f308,f7115]) ).

fof(f7115,plain,
    ( spl0_700
  <=> cons(sk5,cons(skaf64(nil),skaf67(nil))) = app(nil,cons(sk5,cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).

fof(f1376,plain,
    ( spl0_148
  <=> ssList(cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f7075,plain,
    ( cons(sk5,cons(skaf64(nil),skaf67(nil))) = app(nil,cons(sk5,cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(resolution,[],[f2663,f1377]) ).

fof(f1377,plain,
    ( ssList(cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f7113,plain,
    ( spl0_699
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f7073,f4848,f308,f7110]) ).

fof(f7110,plain,
    ( spl0_699
  <=> cons(sk5,cons(skaf65(nil),nil)) = app(nil,cons(sk5,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).

fof(f4848,plain,
    ( spl0_444
  <=> ssList(cons(skaf65(nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f7073,plain,
    ( cons(sk5,cons(skaf65(nil),nil)) = app(nil,cons(sk5,cons(skaf65(nil),nil)))
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(resolution,[],[f2663,f4850]) ).

fof(f4850,plain,
    ( ssList(cons(skaf65(nil),nil))
    | ~ spl0_444 ),
    inference(avatar_component_clause,[],[f4848]) ).

fof(f7108,plain,
    ( spl0_698
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f7072,f713,f308,f7105]) ).

fof(f7105,plain,
    ( spl0_698
  <=> cons(sk5,cons(skaf65(nil),skaf68(nil))) = app(nil,cons(sk5,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).

fof(f713,plain,
    ( spl0_67
  <=> ssList(cons(skaf65(nil),skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f7072,plain,
    ( cons(sk5,cons(skaf65(nil),skaf68(nil))) = app(nil,cons(sk5,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(resolution,[],[f2663,f714]) ).

fof(f714,plain,
    ( ssList(cons(skaf65(nil),skaf68(nil)))
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f7103,plain,
    ( spl0_697
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f7078,f3164,f308,f7100]) ).

fof(f7100,plain,
    ( spl0_697
  <=> app(nil,cons(sk5,cons(sk5,skaf67(sk3)))) = cons(sk5,cons(sk5,skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).

fof(f3164,plain,
    ( spl0_293
  <=> ssList(cons(sk5,skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f7078,plain,
    ( app(nil,cons(sk5,cons(sk5,skaf67(sk3)))) = cons(sk5,cons(sk5,skaf67(sk3)))
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(resolution,[],[f2663,f3166]) ).

fof(f3166,plain,
    ( ssList(cons(sk5,skaf67(sk3)))
    | ~ spl0_293 ),
    inference(avatar_component_clause,[],[f3164]) ).

fof(f7098,plain,
    ( spl0_696
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f7074,f1287,f308,f7095]) ).

fof(f7095,plain,
    ( spl0_696
  <=> cons(sk5,cons(skaf64(sk3),skaf67(sk3))) = app(nil,cons(sk5,cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).

fof(f7074,plain,
    ( cons(sk5,cons(skaf64(sk3),skaf67(sk3))) = app(nil,cons(sk5,cons(skaf64(sk3),skaf67(sk3))))
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(resolution,[],[f2663,f1288]) ).

fof(f1288,plain,
    ( ssList(cons(skaf64(sk3),skaf67(sk3)))
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1287]) ).

fof(f7093,plain,
    ( spl0_695
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f7079,f2170,f308,f7090]) ).

fof(f7090,plain,
    ( spl0_695
  <=> app(nil,cons(sk5,cons(sk5,sk3))) = cons(sk5,cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).

fof(f7079,plain,
    ( app(nil,cons(sk5,cons(sk5,sk3))) = cons(sk5,cons(sk5,sk3))
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(resolution,[],[f2663,f2171]) ).

fof(f2171,plain,
    ( ssList(cons(sk5,sk3))
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f2170]) ).

fof(f7061,plain,
    ( spl0_694
    | ~ spl0_7
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f6993,f678,f260,f7058]) ).

fof(f7058,plain,
    ( spl0_694
  <=> app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk3) = app(nil,app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).

fof(f6993,plain,
    ( app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk3) = app(nil,app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk3))
    | ~ spl0_7
    | ~ spl0_60 ),
    inference(resolution,[],[f2637,f679]) ).

fof(f2637,plain,
    ( ! [X31] :
        ( ~ ssList(X31)
        | app(nil,app(X31,sk3)) = app(X31,sk3) )
    | ~ spl0_7 ),
    inference(resolution,[],[f534,f262]) ).

fof(f534,plain,
    ! [X8,X9] :
      ( ~ ssList(X8)
      | ~ ssList(X9)
      | app(nil,app(X9,X8)) = app(X9,X8) ),
    inference(resolution,[],[f85,f74]) ).

fof(f7056,plain,
    ( spl0_693
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6992,f448,f260,f7053]) ).

fof(f7053,plain,
    ( spl0_693
  <=> app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk3) = app(nil,app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).

fof(f6992,plain,
    ( app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk3) = app(nil,app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk3))
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(resolution,[],[f2637,f449]) ).

fof(f7051,plain,
    ( spl0_692
    | ~ spl0_7
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6995,f6316,f260,f7048]) ).

fof(f7048,plain,
    ( spl0_692
  <=> app(app(sk3,tl(sk3)),sk3) = app(nil,app(app(sk3,tl(sk3)),sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).

fof(f6995,plain,
    ( app(app(sk3,tl(sk3)),sk3) = app(nil,app(app(sk3,tl(sk3)),sk3))
    | ~ spl0_7
    | ~ spl0_581 ),
    inference(resolution,[],[f2637,f6317]) ).

fof(f7046,plain,
    ( spl0_691
    | ~ spl0_7
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f6989,f3164,f260,f7043]) ).

fof(f7043,plain,
    ( spl0_691
  <=> app(cons(sk5,skaf67(sk3)),sk3) = app(nil,app(cons(sk5,skaf67(sk3)),sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).

fof(f6989,plain,
    ( app(cons(sk5,skaf67(sk3)),sk3) = app(nil,app(cons(sk5,skaf67(sk3)),sk3))
    | ~ spl0_7
    | ~ spl0_293 ),
    inference(resolution,[],[f2637,f3166]) ).

fof(f7041,plain,
    ( spl0_690
    | ~ spl0_7
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f6997,f1179,f260,f7038]) ).

fof(f7038,plain,
    ( spl0_690
  <=> app(nil,app(tl(sk3),sk3)) = app(tl(sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).

fof(f1179,plain,
    ( spl0_122
  <=> ssList(tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f6997,plain,
    ( app(nil,app(tl(sk3),sk3)) = app(tl(sk3),sk3)
    | ~ spl0_7
    | ~ spl0_122 ),
    inference(resolution,[],[f2637,f1180]) ).

fof(f1180,plain,
    ( ssList(tl(sk3))
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f7036,plain,
    ( spl0_689
    | ~ spl0_7
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f6994,f4728,f260,f7033]) ).

fof(f7033,plain,
    ( spl0_689
  <=> app(nil,app(app(sk3,sk3),sk3)) = app(app(sk3,sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).

fof(f6994,plain,
    ( app(nil,app(app(sk3,sk3),sk3)) = app(app(sk3,sk3),sk3)
    | ~ spl0_7
    | ~ spl0_430 ),
    inference(resolution,[],[f2637,f4729]) ).

fof(f7029,plain,
    ( spl0_688
    | ~ spl0_7
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f6985,f1287,f260,f7026]) ).

fof(f7026,plain,
    ( spl0_688
  <=> app(nil,app(cons(skaf64(sk3),skaf67(sk3)),sk3)) = app(cons(skaf64(sk3),skaf67(sk3)),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).

fof(f6985,plain,
    ( app(nil,app(cons(skaf64(sk3),skaf67(sk3)),sk3)) = app(cons(skaf64(sk3),skaf67(sk3)),sk3)
    | ~ spl0_7
    | ~ spl0_142 ),
    inference(resolution,[],[f2637,f1288]) ).

fof(f7024,plain,
    ( spl0_687
    | ~ spl0_7
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f6983,f713,f260,f7021]) ).

fof(f7021,plain,
    ( spl0_687
  <=> app(nil,app(cons(skaf65(nil),skaf68(nil)),sk3)) = app(cons(skaf65(nil),skaf68(nil)),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).

fof(f6983,plain,
    ( app(nil,app(cons(skaf65(nil),skaf68(nil)),sk3)) = app(cons(skaf65(nil),skaf68(nil)),sk3)
    | ~ spl0_7
    | ~ spl0_67 ),
    inference(resolution,[],[f2637,f714]) ).

fof(f7019,plain,
    ( spl0_686
    | ~ spl0_7
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f6986,f1376,f260,f7016]) ).

fof(f7016,plain,
    ( spl0_686
  <=> app(nil,app(cons(skaf64(nil),skaf67(nil)),sk3)) = app(cons(skaf64(nil),skaf67(nil)),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).

fof(f6986,plain,
    ( app(nil,app(cons(skaf64(nil),skaf67(nil)),sk3)) = app(cons(skaf64(nil),skaf67(nil)),sk3)
    | ~ spl0_7
    | ~ spl0_148 ),
    inference(resolution,[],[f2637,f1377]) ).

fof(f7014,plain,
    ( spl0_685
    | ~ spl0_7
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f7009,f4848,f260,f7011]) ).

fof(f7011,plain,
    ( spl0_685
  <=> app(nil,cons(skaf65(nil),sk3)) = cons(skaf65(nil),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).

fof(f7009,plain,
    ( app(nil,cons(skaf65(nil),sk3)) = cons(skaf65(nil),sk3)
    | ~ spl0_7
    | ~ spl0_444 ),
    inference(forward_demodulation,[],[f6984,f2693]) ).

fof(f6984,plain,
    ( app(nil,app(cons(skaf65(nil),nil),sk3)) = app(cons(skaf65(nil),nil),sk3)
    | ~ spl0_7
    | ~ spl0_444 ),
    inference(resolution,[],[f2637,f4850]) ).

fof(f7008,plain,
    ( spl0_684
    | ~ spl0_7
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f6990,f2170,f260,f7005]) ).

fof(f7005,plain,
    ( spl0_684
  <=> app(nil,app(cons(sk5,sk3),sk3)) = app(cons(sk5,sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).

fof(f6990,plain,
    ( app(nil,app(cons(sk5,sk3),sk3)) = app(cons(sk5,sk3),sk3)
    | ~ spl0_7
    | ~ spl0_208 ),
    inference(resolution,[],[f2637,f2171]) ).

fof(f7003,plain,
    ( spl0_683
    | ~ spl0_7
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f6988,f3236,f260,f7000]) ).

fof(f7000,plain,
    ( spl0_683
  <=> app(cons(sk5,skaf68(sk3)),sk3) = app(nil,app(cons(sk5,skaf68(sk3)),sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).

fof(f6988,plain,
    ( app(cons(sk5,skaf68(sk3)),sk3) = app(nil,app(cons(sk5,skaf68(sk3)),sk3))
    | ~ spl0_7
    | ~ spl0_297 ),
    inference(resolution,[],[f2637,f3237]) ).

fof(f6972,plain,
    spl0_673,
    inference(avatar_contradiction_clause,[],[f6971]) ).

fof(f6971,plain,
    ( $false
    | spl0_673 ),
    inference(resolution,[],[f6930,f53]) ).

fof(f53,axiom,
    ! [X0,X1] : ssList(skaf42(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f6930,plain,
    ( ~ ssList(skaf42(sk3,sk5))
    | spl0_673 ),
    inference(avatar_component_clause,[],[f6928]) ).

fof(f6928,plain,
    ( spl0_673
  <=> ssList(skaf42(sk3,sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).

fof(f6970,plain,
    ( ~ spl0_673
    | ~ spl0_672
    | spl0_682
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6920,f2111,f6968,f6924,f6928]) ).

fof(f6924,plain,
    ( spl0_672
  <=> ssList(cons(sk5,skaf43(sk5,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).

fof(f6968,plain,
    ( spl0_682
  <=> ! [X11] :
        ( ~ memberP(sk3,skaf64(X11))
        | memberP(cons(sk5,skaf43(sk5,sk3)),skaf64(X11))
        | memberP(skaf42(sk3,sk5),skaf64(X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).

fof(f2111,plain,
    ( spl0_205
  <=> sk3 = app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f6920,plain,
    ( ! [X11] :
        ( ~ memberP(sk3,skaf64(X11))
        | ~ ssList(cons(sk5,skaf43(sk5,sk3)))
        | memberP(skaf42(sk3,sk5),skaf64(X11))
        | memberP(cons(sk5,skaf43(sk5,sk3)),skaf64(X11))
        | ~ ssList(skaf42(sk3,sk5)) )
    | ~ spl0_205 ),
    inference(superposition,[],[f359,f2113]) ).

fof(f2113,plain,
    ( sk3 = app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3)))
    | ~ spl0_205 ),
    inference(avatar_component_clause,[],[f2111]) ).

fof(f6966,plain,
    ( ~ spl0_673
    | ~ spl0_672
    | spl0_679
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6916,f2111,f6954,f6924,f6928]) ).

fof(f6954,plain,
    ( spl0_679
  <=> ! [X9] :
        ( skaf42(sk3,sk5) = X9
        | ~ ssList(X9)
        | sk3 != app(X9,cons(sk5,skaf43(sk5,sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).

fof(f6916,plain,
    ( ! [X8] :
        ( ~ ssList(X8)
        | ~ ssList(cons(sk5,skaf43(sk5,sk3)))
        | ~ ssList(skaf42(sk3,sk5))
        | skaf42(sk3,sk5) = X8
        | sk3 != app(X8,cons(sk5,skaf43(sk5,sk3))) )
    | ~ spl0_205 ),
    inference(superposition,[],[f151,f2113]) ).

fof(f6965,plain,
    ( ~ spl0_672
    | spl0_680
    | spl0_681
    | ~ spl0_36
    | ~ spl0_673
    | ~ spl0_17
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6918,f2111,f308,f6928,f440,f6962,f6958,f6924]) ).

fof(f6958,plain,
    ( spl0_680
  <=> memberP(skaf42(sk3,sk5),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).

fof(f6962,plain,
    ( spl0_681
  <=> memberP(cons(sk5,skaf43(sk5,sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).

fof(f440,plain,
    ( spl0_36
  <=> memberP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f6918,plain,
    ( ~ ssList(skaf42(sk3,sk5))
    | ~ memberP(sk3,sk5)
    | memberP(cons(sk5,skaf43(sk5,sk3)),sk5)
    | memberP(skaf42(sk3,sk5),sk5)
    | ~ ssList(cons(sk5,skaf43(sk5,sk3)))
    | ~ spl0_17
    | ~ spl0_205 ),
    inference(superposition,[],[f326,f2113]) ).

fof(f326,plain,
    ( ! [X0,X1] :
        ( ~ memberP(app(X1,X0),sk5)
        | ~ ssList(X1)
        | memberP(X0,sk5)
        | memberP(X1,sk5)
        | ~ ssList(X0) )
    | ~ spl0_17 ),
    inference(resolution,[],[f158,f310]) ).

fof(f6956,plain,
    ( ~ spl0_673
    | ~ spl0_672
    | spl0_679
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6917,f2111,f6954,f6924,f6928]) ).

fof(f6917,plain,
    ( ! [X9] :
        ( skaf42(sk3,sk5) = X9
        | sk3 != app(X9,cons(sk5,skaf43(sk5,sk3)))
        | ~ ssList(cons(sk5,skaf43(sk5,sk3)))
        | ~ ssList(X9)
        | ~ ssList(skaf42(sk3,sk5)) )
    | ~ spl0_205 ),
    inference(superposition,[],[f151,f2113]) ).

fof(f6952,plain,
    ( ~ spl0_673
    | spl0_677
    | ~ spl0_672
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6915,f2111,f6924,f6945,f6928]) ).

fof(f6945,plain,
    ( spl0_677
  <=> ! [X6] :
        ( sk3 != app(skaf42(sk3,sk5),X6)
        | ~ ssList(X6)
        | cons(sk5,skaf43(sk5,sk3)) = X6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).

fof(f6915,plain,
    ( ! [X7] :
        ( ~ ssList(cons(sk5,skaf43(sk5,sk3)))
        | sk3 != app(skaf42(sk3,sk5),X7)
        | ~ ssList(skaf42(sk3,sk5))
        | ~ ssList(X7)
        | cons(sk5,skaf43(sk5,sk3)) = X7 )
    | ~ spl0_205 ),
    inference(superposition,[],[f150,f2113]) ).

fof(f6951,plain,
    ( ~ spl0_673
    | ~ spl0_672
    | spl0_678
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6919,f2111,f6949,f6924,f6928]) ).

fof(f6949,plain,
    ( spl0_678
  <=> ! [X10] :
        ( memberP(cons(sk5,skaf43(sk5,sk3)),skaf65(X10))
        | ~ memberP(sk3,skaf65(X10))
        | memberP(skaf42(sk3,sk5),skaf65(X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).

fof(f6919,plain,
    ( ! [X10] :
        ( memberP(cons(sk5,skaf43(sk5,sk3)),skaf65(X10))
        | memberP(skaf42(sk3,sk5),skaf65(X10))
        | ~ ssList(cons(sk5,skaf43(sk5,sk3)))
        | ~ memberP(sk3,skaf65(X10))
        | ~ ssList(skaf42(sk3,sk5)) )
    | ~ spl0_205 ),
    inference(superposition,[],[f357,f2113]) ).

fof(f6947,plain,
    ( ~ spl0_673
    | ~ spl0_672
    | spl0_677
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6914,f2111,f6945,f6924,f6928]) ).

fof(f6914,plain,
    ( ! [X6] :
        ( sk3 != app(skaf42(sk3,sk5),X6)
        | ~ ssList(cons(sk5,skaf43(sk5,sk3)))
        | cons(sk5,skaf43(sk5,sk3)) = X6
        | ~ ssList(skaf42(sk3,sk5))
        | ~ ssList(X6) )
    | ~ spl0_205 ),
    inference(superposition,[],[f150,f2113]) ).

fof(f6943,plain,
    ( ~ spl0_672
    | ~ spl0_673
    | spl0_676
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6921,f2111,f6941,f6928,f6924]) ).

fof(f6941,plain,
    ( spl0_676
  <=> ! [X12] :
        ( ~ memberP(sk3,hd(X12))
        | memberP(cons(sk5,skaf43(sk5,sk3)),hd(X12))
        | nil = X12
        | ~ ssList(X12)
        | memberP(skaf42(sk3,sk5),hd(X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).

fof(f6921,plain,
    ( ! [X12] :
        ( ~ memberP(sk3,hd(X12))
        | memberP(skaf42(sk3,sk5),hd(X12))
        | ~ ssList(X12)
        | ~ ssList(skaf42(sk3,sk5))
        | nil = X12
        | ~ ssList(cons(sk5,skaf43(sk5,sk3)))
        | memberP(cons(sk5,skaf43(sk5,sk3)),hd(X12)) )
    | ~ spl0_205 ),
    inference(superposition,[],[f527,f2113]) ).

fof(f6939,plain,
    ( ~ spl0_673
    | spl0_675
    | ~ spl0_672
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6912,f2111,f6924,f6937,f6928]) ).

fof(f6937,plain,
    ( spl0_675
  <=> ! [X4] :
        ( ~ ssItem(X4)
        | ~ memberP(skaf42(sk3,sk5),X4)
        | memberP(sk3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).

fof(f6912,plain,
    ( ! [X4] :
        ( ~ ssList(cons(sk5,skaf43(sk5,sk3)))
        | ~ ssItem(X4)
        | memberP(sk3,X4)
        | ~ memberP(skaf42(sk3,sk5),X4)
        | ~ ssList(skaf42(sk3,sk5)) )
    | ~ spl0_205 ),
    inference(superposition,[],[f140,f2113]) ).

fof(f6934,plain,
    ( ~ spl0_672
    | ~ spl0_673
    | spl0_674
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f6913,f2111,f6932,f6928,f6924]) ).

fof(f6932,plain,
    ( spl0_674
  <=> ! [X5] :
        ( ~ ssItem(X5)
        | memberP(sk3,X5)
        | ~ memberP(cons(sk5,skaf43(sk5,sk3)),X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).

fof(f6913,plain,
    ( ! [X5] :
        ( ~ ssItem(X5)
        | ~ memberP(cons(sk5,skaf43(sk5,sk3)),X5)
        | memberP(sk3,X5)
        | ~ ssList(skaf42(sk3,sk5))
        | ~ ssList(cons(sk5,skaf43(sk5,sk3))) )
    | ~ spl0_205 ),
    inference(superposition,[],[f141,f2113]) ).

fof(f6904,plain,
    ( ~ spl0_230
    | spl0_671
    | ~ spl0_17
    | ~ spl0_608 ),
    inference(avatar_split_clause,[],[f6893,f6520,f308,f6901,f2340]) ).

fof(f6901,plain,
    ( spl0_671
  <=> cons(sk5,nil) = app(skaf42(cons(sk5,nil),sk5),cons(sk5,skaf43(sk5,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).

fof(f6520,plain,
    ( spl0_608
  <=> memberP(cons(sk5,nil),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).

fof(f6893,plain,
    ( cons(sk5,nil) = app(skaf42(cons(sk5,nil),sk5),cons(sk5,skaf43(sk5,cons(sk5,nil))))
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_17
    | ~ spl0_608 ),
    inference(resolution,[],[f6522,f333]) ).

fof(f333,plain,
    ( ! [X0] :
        ( ~ memberP(X0,sk5)
        | app(skaf42(X0,sk5),cons(sk5,skaf43(sk5,X0))) = X0
        | ~ ssList(X0) )
    | ~ spl0_17 ),
    inference(resolution,[],[f169,f310]) ).

fof(f6522,plain,
    ( memberP(cons(sk5,nil),sk5)
    | ~ spl0_608 ),
    inference(avatar_component_clause,[],[f6520]) ).

fof(f6899,plain,
    ( ~ spl0_230
    | spl0_670
    | ~ spl0_161
    | ~ spl0_608 ),
    inference(avatar_split_clause,[],[f6891,f6520,f1459,f6897,f2340]) ).

fof(f6897,plain,
    ( spl0_670
  <=> ! [X0] :
        ( app(skaf42(app(X0,cons(sk5,nil)),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,nil))))) = app(X0,cons(sk5,nil))
        | ~ ssList(app(X0,cons(sk5,nil)))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).

fof(f6891,plain,
    ( ! [X0] :
        ( app(skaf42(app(X0,cons(sk5,nil)),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,nil))))) = app(X0,cons(sk5,nil))
        | ~ ssList(X0)
        | ~ ssList(app(X0,cons(sk5,nil)))
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_161
    | ~ spl0_608 ),
    inference(resolution,[],[f6522,f1460]) ).

fof(f6890,plain,
    ( ~ spl0_208
    | ~ spl0_230
    | spl0_669
    | ~ spl0_134
    | ~ spl0_171
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f6875,f2016,f1685,f1232,f6887,f2340,f2170]) ).

fof(f1232,plain,
    ( spl0_134
  <=> ! [X10] :
        ( memberP(app(X10,sk3),hd(sk3))
        | ~ ssList(app(X10,sk3))
        | ~ ssList(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1685,plain,
    ( spl0_171
  <=> cons(sk5,sk3) = app(cons(sk5,nil),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2016,plain,
    ( spl0_194
  <=> sk5 = hd(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f6875,plain,
    ( memberP(cons(sk5,sk3),sk5)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(cons(sk5,sk3))
    | ~ spl0_134
    | ~ spl0_171
    | ~ spl0_194 ),
    inference(superposition,[],[f2027,f1687]) ).

fof(f1687,plain,
    ( cons(sk5,sk3) = app(cons(sk5,nil),sk3)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1685]) ).

fof(f2027,plain,
    ( ! [X10] :
        ( ~ ssList(app(X10,sk3))
        | memberP(app(X10,sk3),sk5)
        | ~ ssList(X10) )
    | ~ spl0_134
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1233,f2018]) ).

fof(f2018,plain,
    ( sk5 = hd(sk3)
    | ~ spl0_194 ),
    inference(avatar_component_clause,[],[f2016]) ).

fof(f1233,plain,
    ( ! [X10] :
        ( ~ ssList(app(X10,sk3))
        | memberP(app(X10,sk3),hd(sk3))
        | ~ ssList(X10) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f6885,plain,
    ( ~ spl0_7
    | spl0_668
    | ~ spl0_134
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f6876,f2016,f1232,f6883,f260]) ).

fof(f6883,plain,
    ( spl0_668
  <=> ! [X0] :
        ( ~ ssList(X0)
        | memberP(app(X0,sk3),sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).

fof(f6876,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | memberP(app(X0,sk3),sk5)
        | ~ ssList(sk3) )
    | ~ spl0_134
    | ~ spl0_194 ),
    inference(duplicate_literal_removal,[],[f6872]) ).

fof(f6872,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | memberP(app(X0,sk3),sk5)
        | ~ ssList(sk3)
        | ~ ssList(X0) )
    | ~ spl0_134
    | ~ spl0_194 ),
    inference(resolution,[],[f2027,f85]) ).

fof(f6881,plain,
    ( ~ spl0_7
    | spl0_667
    | ~ spl0_134
    | ~ spl0_194
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f6873,f4728,f2016,f1232,f6878,f260]) ).

fof(f6878,plain,
    ( spl0_667
  <=> memberP(app(sk3,sk3),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).

fof(f6873,plain,
    ( memberP(app(sk3,sk3),sk5)
    | ~ ssList(sk3)
    | ~ spl0_134
    | ~ spl0_194
    | ~ spl0_430 ),
    inference(resolution,[],[f2027,f4729]) ).

fof(f6871,plain,
    ( spl0_666
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6804,f448,f308,f249,f6868]) ).

fof(f6868,plain,
    ( spl0_666
  <=> cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) = app(cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).

fof(f249,plain,
    ( spl0_5
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f6804,plain,
    ( cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) = app(cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),nil)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(resolution,[],[f1754,f449]) ).

fof(f1754,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(cons(sk5,X0),nil) = cons(sk5,X0) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_subsumption_demodulation,[],[f1740,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f1740,plain,
    ( ! [X0] :
        ( cons(sk5,app(X0,nil)) = app(cons(sk5,X0),nil)
        | ~ ssList(X0) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f854,f251]) ).

fof(f251,plain,
    ( ssList(nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f854,plain,
    ( ! [X18,X17] :
        ( ~ ssList(X18)
        | ~ ssList(X17)
        | cons(sk5,app(X17,X18)) = app(cons(sk5,X17),X18) )
    | ~ spl0_17 ),
    inference(resolution,[],[f157,f310]) ).

fof(f157,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f6866,plain,
    ( spl0_665
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f6798,f1376,f308,f249,f6863]) ).

fof(f6863,plain,
    ( spl0_665
  <=> cons(sk5,cons(skaf64(nil),skaf67(nil))) = app(cons(sk5,cons(skaf64(nil),skaf67(nil))),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).

fof(f6798,plain,
    ( cons(sk5,cons(skaf64(nil),skaf67(nil))) = app(cons(sk5,cons(skaf64(nil),skaf67(nil))),nil)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(resolution,[],[f1754,f1377]) ).

fof(f6861,plain,
    ( spl0_664
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f6800,f3236,f308,f249,f6858]) ).

fof(f6858,plain,
    ( spl0_664
  <=> app(cons(sk5,cons(sk5,skaf68(sk3))),nil) = cons(sk5,cons(sk5,skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).

fof(f6800,plain,
    ( app(cons(sk5,cons(sk5,skaf68(sk3))),nil) = cons(sk5,cons(sk5,skaf68(sk3)))
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_297 ),
    inference(resolution,[],[f1754,f3237]) ).

fof(f6856,plain,
    ( spl0_663
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f6801,f3164,f308,f249,f6853]) ).

fof(f6853,plain,
    ( spl0_663
  <=> app(cons(sk5,cons(sk5,skaf67(sk3))),nil) = cons(sk5,cons(sk5,skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).

fof(f6801,plain,
    ( app(cons(sk5,cons(sk5,skaf67(sk3))),nil) = cons(sk5,cons(sk5,skaf67(sk3)))
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(resolution,[],[f1754,f3166]) ).

fof(f6851,plain,
    ( spl0_662
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f6799,f2340,f308,f249,f6848]) ).

fof(f6848,plain,
    ( spl0_662
  <=> app(cons(sk5,cons(sk5,nil)),nil) = cons(sk5,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).

fof(f6799,plain,
    ( app(cons(sk5,cons(sk5,nil)),nil) = cons(sk5,cons(sk5,nil))
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(resolution,[],[f1754,f2341]) ).

fof(f6846,plain,
    ( spl0_661
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f6805,f678,f308,f249,f6843]) ).

fof(f6843,plain,
    ( spl0_661
  <=> cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) = app(cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).

fof(f6805,plain,
    ( cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) = app(cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),nil)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(resolution,[],[f1754,f679]) ).

fof(f6841,plain,
    ( spl0_660
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f6795,f713,f308,f249,f6838]) ).

fof(f6838,plain,
    ( spl0_660
  <=> cons(sk5,cons(skaf65(nil),skaf68(nil))) = app(cons(sk5,cons(skaf65(nil),skaf68(nil))),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).

fof(f6795,plain,
    ( cons(sk5,cons(skaf65(nil),skaf68(nil))) = app(cons(sk5,cons(skaf65(nil),skaf68(nil))),nil)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(resolution,[],[f1754,f714]) ).

fof(f6836,plain,
    ( spl0_659
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f6802,f2170,f308,f249,f6833]) ).

fof(f6833,plain,
    ( spl0_659
  <=> app(cons(sk5,cons(sk5,sk3)),nil) = cons(sk5,cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).

fof(f6802,plain,
    ( app(cons(sk5,cons(sk5,sk3)),nil) = cons(sk5,cons(sk5,sk3))
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(resolution,[],[f1754,f2171]) ).

fof(f6830,plain,
    ( spl0_658
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6807,f6316,f308,f249,f6827]) ).

fof(f6827,plain,
    ( spl0_658
  <=> cons(sk5,app(sk3,tl(sk3))) = app(cons(sk5,app(sk3,tl(sk3))),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).

fof(f6807,plain,
    ( cons(sk5,app(sk3,tl(sk3))) = app(cons(sk5,app(sk3,tl(sk3))),nil)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(resolution,[],[f1754,f6317]) ).

fof(f6825,plain,
    ( spl0_657
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f6796,f4848,f308,f249,f6822]) ).

fof(f6822,plain,
    ( spl0_657
  <=> cons(sk5,cons(skaf65(nil),nil)) = app(cons(sk5,cons(skaf65(nil),nil)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).

fof(f6796,plain,
    ( cons(sk5,cons(skaf65(nil),nil)) = app(cons(sk5,cons(skaf65(nil),nil)),nil)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(resolution,[],[f1754,f4850]) ).

fof(f6820,plain,
    ( spl0_656
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f6806,f4728,f308,f249,f6817]) ).

fof(f6817,plain,
    ( spl0_656
  <=> cons(sk5,app(sk3,sk3)) = app(cons(sk5,app(sk3,sk3)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).

fof(f6806,plain,
    ( cons(sk5,app(sk3,sk3)) = app(cons(sk5,app(sk3,sk3)),nil)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(resolution,[],[f1754,f4729]) ).

fof(f6815,plain,
    ( spl0_655
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f6797,f1287,f308,f249,f6812]) ).

fof(f6812,plain,
    ( spl0_655
  <=> cons(sk5,cons(skaf64(sk3),skaf67(sk3))) = app(cons(sk5,cons(skaf64(sk3),skaf67(sk3))),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).

fof(f6797,plain,
    ( cons(sk5,cons(skaf64(sk3),skaf67(sk3))) = app(cons(sk5,cons(skaf64(sk3),skaf67(sk3))),nil)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(resolution,[],[f1754,f1288]) ).

fof(f6784,plain,
    ( spl0_654
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f6706,f713,f499,f260,f249,f6781]) ).

fof(f6781,plain,
    ( spl0_654
  <=> app(cons(skaf65(nil),skaf68(nil)),sk3) = app(app(cons(skaf65(nil),skaf68(nil)),sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).

fof(f499,plain,
    ( spl0_47
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f6706,plain,
    ( app(cons(skaf65(nil),skaf68(nil)),sk3) = app(app(cons(skaf65(nil),skaf68(nil)),sk3),nil)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_67 ),
    inference(resolution,[],[f1739,f714]) ).

fof(f1739,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(X0,sk3) = app(app(X0,sk3),nil) )
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1725,f501]) ).

fof(f501,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f1725,plain,
    ( ! [X0] :
        ( app(X0,app(sk3,nil)) = app(app(X0,sk3),nil)
        | ~ ssList(X0) )
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(resolution,[],[f809,f251]) ).

fof(f809,plain,
    ( ! [X36,X37] :
        ( ~ ssList(X37)
        | app(X36,app(sk3,X37)) = app(app(X36,sk3),X37)
        | ~ ssList(X36) )
    | ~ spl0_7 ),
    inference(resolution,[],[f149,f262]) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f6779,plain,
    ( spl0_653
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f6711,f3236,f499,f260,f249,f6776]) ).

fof(f6776,plain,
    ( spl0_653
  <=> app(app(cons(sk5,skaf68(sk3)),sk3),nil) = app(cons(sk5,skaf68(sk3)),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).

fof(f6711,plain,
    ( app(app(cons(sk5,skaf68(sk3)),sk3),nil) = app(cons(sk5,skaf68(sk3)),sk3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_297 ),
    inference(resolution,[],[f1739,f3237]) ).

fof(f6774,plain,
    ( spl0_652
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f6708,f1287,f499,f260,f249,f6771]) ).

fof(f6771,plain,
    ( spl0_652
  <=> app(app(cons(skaf64(sk3),skaf67(sk3)),sk3),nil) = app(cons(skaf64(sk3),skaf67(sk3)),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).

fof(f6708,plain,
    ( app(app(cons(skaf64(sk3),skaf67(sk3)),sk3),nil) = app(cons(skaf64(sk3),skaf67(sk3)),sk3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_142 ),
    inference(resolution,[],[f1739,f1288]) ).

fof(f6769,plain,
    ( spl0_651
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f6712,f3164,f499,f260,f249,f6766]) ).

fof(f6766,plain,
    ( spl0_651
  <=> app(cons(sk5,skaf67(sk3)),sk3) = app(app(cons(sk5,skaf67(sk3)),sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).

fof(f6712,plain,
    ( app(cons(sk5,skaf67(sk3)),sk3) = app(app(cons(sk5,skaf67(sk3)),sk3),nil)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_293 ),
    inference(resolution,[],[f1739,f3166]) ).

fof(f6763,plain,
    ( spl0_650
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f6709,f1376,f499,f260,f249,f6760]) ).

fof(f6760,plain,
    ( spl0_650
  <=> app(app(cons(skaf64(nil),skaf67(nil)),sk3),nil) = app(cons(skaf64(nil),skaf67(nil)),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).

fof(f6709,plain,
    ( app(app(cons(skaf64(nil),skaf67(nil)),sk3),nil) = app(cons(skaf64(nil),skaf67(nil)),sk3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_148 ),
    inference(resolution,[],[f1739,f1377]) ).

fof(f6758,plain,
    ( spl0_649
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f6753,f4848,f499,f260,f249,f6755]) ).

fof(f6755,plain,
    ( spl0_649
  <=> app(cons(skaf65(nil),sk3),nil) = cons(skaf65(nil),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).

fof(f6753,plain,
    ( app(cons(skaf65(nil),sk3),nil) = cons(skaf65(nil),sk3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_444 ),
    inference(forward_demodulation,[],[f6707,f2693]) ).

fof(f6707,plain,
    ( app(app(cons(skaf65(nil),nil),sk3),nil) = app(cons(skaf65(nil),nil),sk3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_444 ),
    inference(resolution,[],[f1739,f4850]) ).

fof(f6752,plain,
    ( spl0_648
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f6715,f499,f448,f260,f249,f6749]) ).

fof(f6749,plain,
    ( spl0_648
  <=> app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk3) = app(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).

fof(f6715,plain,
    ( app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk3) = app(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk3),nil)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(resolution,[],[f1739,f449]) ).

fof(f6747,plain,
    ( spl0_647
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f6716,f678,f499,f260,f249,f6744]) ).

fof(f6744,plain,
    ( spl0_647
  <=> app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk3) = app(app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).

fof(f6716,plain,
    ( app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk3) = app(app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk3),nil)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_60 ),
    inference(resolution,[],[f1739,f679]) ).

fof(f6741,plain,
    ( spl0_646
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f6720,f1179,f499,f260,f249,f6738]) ).

fof(f6738,plain,
    ( spl0_646
  <=> app(app(tl(sk3),sk3),nil) = app(tl(sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).

fof(f6720,plain,
    ( app(app(tl(sk3),sk3),nil) = app(tl(sk3),sk3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_122 ),
    inference(resolution,[],[f1739,f1180]) ).

fof(f6736,plain,
    ( spl0_645
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6718,f6316,f499,f260,f249,f6733]) ).

fof(f6733,plain,
    ( spl0_645
  <=> app(app(app(sk3,tl(sk3)),sk3),nil) = app(app(sk3,tl(sk3)),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).

fof(f6718,plain,
    ( app(app(app(sk3,tl(sk3)),sk3),nil) = app(app(sk3,tl(sk3)),sk3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_581 ),
    inference(resolution,[],[f1739,f6317]) ).

fof(f6731,plain,
    ( spl0_644
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f6713,f2170,f499,f260,f249,f6728]) ).

fof(f6728,plain,
    ( spl0_644
  <=> app(app(cons(sk5,sk3),sk3),nil) = app(cons(sk5,sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).

fof(f6713,plain,
    ( app(app(cons(sk5,sk3),sk3),nil) = app(cons(sk5,sk3),sk3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_208 ),
    inference(resolution,[],[f1739,f2171]) ).

fof(f6726,plain,
    ( spl0_643
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f6717,f4728,f499,f260,f249,f6723]) ).

fof(f6723,plain,
    ( spl0_643
  <=> app(app(sk3,sk3),sk3) = app(app(app(sk3,sk3),sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).

fof(f6717,plain,
    ( app(app(sk3,sk3),sk3) = app(app(app(sk3,sk3),sk3),nil)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_47
    | ~ spl0_430 ),
    inference(resolution,[],[f1739,f4729]) ).

fof(f6695,plain,
    ( ~ spl0_230
    | spl0_642
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6639,f308,f6693,f2340]) ).

fof(f6693,plain,
    ( spl0_642
  <=> ! [X6,X5] :
        ( ~ memberP(skaf66(X5),X6)
        | ~ ssList(skaf66(X5))
        | memberP(cons(sk5,skaf66(X5)),X6)
        | ~ ssItem(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).

fof(f6639,plain,
    ( ! [X6,X5] :
        ( ~ memberP(skaf66(X5),X6)
        | ~ ssItem(X6)
        | memberP(cons(sk5,skaf66(X5)),X6)
        | ~ ssList(skaf66(X5))
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f141,f1676]) ).

fof(f1676,plain,
    ( ! [X5] : app(cons(sk5,nil),skaf66(X5)) = cons(sk5,skaf66(X5))
    | ~ spl0_17 ),
    inference(resolution,[],[f598,f29]) ).

fof(f29,axiom,
    ! [X0] : ssList(skaf66(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

fof(f598,plain,
    ( ! [X11] :
        ( ~ ssList(X11)
        | cons(sk5,X11) = app(cons(sk5,nil),X11) )
    | ~ spl0_17 ),
    inference(resolution,[],[f120,f310]) ).

fof(f6691,plain,
    ( ~ spl0_230
    | spl0_635
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6690,f308,f6663,f2340]) ).

fof(f6663,plain,
    ( spl0_635
  <=> ! [X9,X10] :
        ( ~ ssList(X10)
        | ~ ssList(skaf66(X9))
        | cons(sk5,skaf66(X9)) != cons(sk5,X10)
        | skaf66(X9) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).

fof(f6690,plain,
    ( ! [X8,X7] :
        ( ~ ssList(skaf66(X7))
        | cons(sk5,skaf66(X7)) != cons(sk5,X8)
        | skaf66(X7) = X8
        | ~ ssList(X8)
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(forward_subsumption_demodulation,[],[f6640,f598]) ).

fof(f6640,plain,
    ( ! [X8,X7] :
        ( ~ ssList(skaf66(X7))
        | skaf66(X7) = X8
        | ~ ssList(X8)
        | ~ ssList(cons(sk5,nil))
        | app(cons(sk5,nil),X8) != cons(sk5,skaf66(X7)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f150,f1676]) ).

fof(f6689,plain,
    ( ~ spl0_230
    | spl0_641
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6635,f308,f6687,f2340]) ).

fof(f6687,plain,
    ( spl0_641
  <=> ! [X0] :
        ( ~ ssList(skaf66(X0))
        | ssList(cons(sk5,skaf66(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).

fof(f6635,plain,
    ( ! [X0] :
        ( ~ ssList(skaf66(X0))
        | ssList(cons(sk5,skaf66(X0)))
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f85,f1676]) ).

fof(f6685,plain,
    ( spl0_640
    | ~ spl0_230
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6645,f308,f2340,f6683]) ).

fof(f6683,plain,
    ( spl0_640
  <=> ! [X16,X17] :
        ( ~ ssList(skaf66(X16))
        | memberP(cons(sk5,nil),skaf65(X17))
        | ~ memberP(cons(sk5,skaf66(X16)),skaf65(X17))
        | memberP(skaf66(X16),skaf65(X17)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).

fof(f6645,plain,
    ( ! [X16,X17] :
        ( ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf66(X16))
        | memberP(skaf66(X16),skaf65(X17))
        | ~ memberP(cons(sk5,skaf66(X16)),skaf65(X17))
        | memberP(cons(sk5,nil),skaf65(X17)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f357,f1676]) ).

fof(f6681,plain,
    ( ~ spl0_230
    | spl0_639
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6638,f308,f6679,f2340]) ).

fof(f6679,plain,
    ( spl0_639
  <=> ! [X4,X3] :
        ( ~ memberP(cons(sk5,nil),X4)
        | ~ ssList(skaf66(X3))
        | memberP(cons(sk5,skaf66(X3)),X4)
        | ~ ssItem(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).

fof(f6638,plain,
    ( ! [X3,X4] :
        ( ~ memberP(cons(sk5,nil),X4)
        | ~ ssItem(X4)
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf66(X3))
        | memberP(cons(sk5,skaf66(X3)),X4) )
    | ~ spl0_17 ),
    inference(superposition,[],[f140,f1676]) ).

fof(f6677,plain,
    ( ~ spl0_230
    | spl0_638
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6643,f308,f6675,f2340]) ).

fof(f6675,plain,
    ( spl0_638
  <=> ! [X13,X14] :
        ( app(X14,skaf66(X13)) != cons(sk5,skaf66(X13))
        | ~ ssList(X14)
        | cons(sk5,nil) = X14
        | ~ ssList(skaf66(X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).

fof(f6643,plain,
    ( ! [X14,X13] :
        ( app(X14,skaf66(X13)) != cons(sk5,skaf66(X13))
        | ~ ssList(skaf66(X13))
        | cons(sk5,nil) = X14
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(X14) )
    | ~ spl0_17 ),
    inference(superposition,[],[f151,f1676]) ).

fof(f6673,plain,
    ( ~ spl0_230
    | spl0_637
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6647,f308,f6671,f2340]) ).

fof(f6671,plain,
    ( spl0_637
  <=> ! [X20,X21] :
        ( memberP(skaf66(X20),hd(X21))
        | nil = X21
        | ~ ssList(X21)
        | memberP(cons(sk5,nil),hd(X21))
        | ~ memberP(cons(sk5,skaf66(X20)),hd(X21))
        | ~ ssList(skaf66(X20)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).

fof(f6647,plain,
    ( ! [X21,X20] :
        ( memberP(skaf66(X20),hd(X21))
        | ~ ssList(skaf66(X20))
        | ~ ssList(cons(sk5,nil))
        | ~ memberP(cons(sk5,skaf66(X20)),hd(X21))
        | memberP(cons(sk5,nil),hd(X21))
        | ~ ssList(X21)
        | nil = X21 )
    | ~ spl0_17 ),
    inference(superposition,[],[f527,f1676]) ).

fof(f6669,plain,
    ( ~ spl0_230
    | spl0_636
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6642,f308,f6667,f2340]) ).

fof(f6667,plain,
    ( spl0_636
  <=> ! [X12,X11] :
        ( ~ ssList(skaf66(X11))
        | cons(sk5,nil) = X12
        | ~ ssList(X12)
        | cons(sk5,skaf66(X11)) != app(X12,skaf66(X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).

fof(f6642,plain,
    ( ! [X11,X12] :
        ( ~ ssList(skaf66(X11))
        | ~ ssList(cons(sk5,nil))
        | cons(sk5,skaf66(X11)) != app(X12,skaf66(X11))
        | ~ ssList(X12)
        | cons(sk5,nil) = X12 )
    | ~ spl0_17 ),
    inference(superposition,[],[f151,f1676]) ).

fof(f6665,plain,
    ( ~ spl0_230
    | spl0_635
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6661,f308,f6663,f2340]) ).

fof(f6661,plain,
    ( ! [X10,X9] :
        ( ~ ssList(X10)
        | skaf66(X9) = X10
        | cons(sk5,skaf66(X9)) != cons(sk5,X10)
        | ~ ssList(skaf66(X9))
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(forward_subsumption_demodulation,[],[f6641,f598]) ).

fof(f6641,plain,
    ( ! [X10,X9] :
        ( ~ ssList(cons(sk5,nil))
        | cons(sk5,skaf66(X9)) != app(cons(sk5,nil),X10)
        | ~ ssList(X10)
        | ~ ssList(skaf66(X9))
        | skaf66(X9) = X10 )
    | ~ spl0_17 ),
    inference(superposition,[],[f150,f1676]) ).

fof(f6660,plain,
    ( spl0_634
    | ~ spl0_230
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6637,f308,f2340,f6658]) ).

fof(f6658,plain,
    ( spl0_634
  <=> ! [X2] :
        ( nil != cons(sk5,skaf66(X2))
        | nil = skaf66(X2)
        | ~ ssList(skaf66(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).

fof(f6637,plain,
    ( ! [X2] :
        ( ~ ssList(cons(sk5,nil))
        | nil != cons(sk5,skaf66(X2))
        | ~ ssList(skaf66(X2))
        | nil = skaf66(X2) )
    | ~ spl0_17 ),
    inference(superposition,[],[f119,f1676]) ).

fof(f6656,plain,
    ( ~ spl0_230
    | spl0_227
    | spl0_633
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6636,f308,f6654,f2329,f2340]) ).

fof(f2329,plain,
    ( spl0_227
  <=> nil = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f6654,plain,
    ( spl0_633
  <=> ! [X1] :
        ( nil != cons(sk5,skaf66(X1))
        | ~ ssList(skaf66(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).

fof(f6636,plain,
    ( ! [X1] :
        ( nil != cons(sk5,skaf66(X1))
        | ~ ssList(skaf66(X1))
        | nil = cons(sk5,nil)
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f118,f1676]) ).

fof(f6652,plain,
    ( ~ spl0_230
    | spl0_632
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6646,f308,f6650,f2340]) ).

fof(f6650,plain,
    ( spl0_632
  <=> ! [X18,X19] :
        ( memberP(cons(sk5,nil),skaf64(X19))
        | ~ memberP(cons(sk5,skaf66(X18)),skaf64(X19))
        | ~ ssList(skaf66(X18))
        | memberP(skaf66(X18),skaf64(X19)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).

fof(f6646,plain,
    ( ! [X18,X19] :
        ( memberP(cons(sk5,nil),skaf64(X19))
        | memberP(skaf66(X18),skaf64(X19))
        | ~ ssList(skaf66(X18))
        | ~ memberP(cons(sk5,skaf66(X18)),skaf64(X19))
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f359,f1676]) ).

fof(f6634,plain,
    ( ~ spl0_230
    | spl0_631
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6587,f308,f6632,f2340]) ).

fof(f6632,plain,
    ( spl0_631
  <=> ! [X16,X17] :
        ( memberP(skaf67(X16),skaf65(X17))
        | ~ ssList(skaf67(X16))
        | ~ memberP(cons(sk5,skaf67(X16)),skaf65(X17))
        | memberP(cons(sk5,nil),skaf65(X17)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).

fof(f6587,plain,
    ( ! [X16,X17] :
        ( memberP(skaf67(X16),skaf65(X17))
        | memberP(cons(sk5,nil),skaf65(X17))
        | ~ memberP(cons(sk5,skaf67(X16)),skaf65(X17))
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf67(X16)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f357,f1675]) ).

fof(f1675,plain,
    ( ! [X4] : cons(sk5,skaf67(X4)) = app(cons(sk5,nil),skaf67(X4))
    | ~ spl0_17 ),
    inference(resolution,[],[f598,f28]) ).

fof(f28,axiom,
    ! [X0] : ssList(skaf67(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f6630,plain,
    ( ~ spl0_230
    | spl0_627
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6629,f308,f6613,f2340]) ).

fof(f6613,plain,
    ( spl0_627
  <=> ! [X9,X10] :
        ( ~ ssList(skaf67(X9))
        | cons(sk5,X10) != cons(sk5,skaf67(X9))
        | ~ ssList(X10)
        | skaf67(X9) = X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).

fof(f6629,plain,
    ( ! [X8,X7] :
        ( ~ ssList(skaf67(X7))
        | ~ ssList(X8)
        | cons(sk5,X8) != cons(sk5,skaf67(X7))
        | ~ ssList(cons(sk5,nil))
        | skaf67(X7) = X8 )
    | ~ spl0_17 ),
    inference(forward_subsumption_demodulation,[],[f6582,f598]) ).

fof(f6582,plain,
    ( ! [X8,X7] :
        ( app(cons(sk5,nil),X8) != cons(sk5,skaf67(X7))
        | skaf67(X7) = X8
        | ~ ssList(skaf67(X7))
        | ~ ssList(X8)
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f150,f1675]) ).

fof(f6628,plain,
    ( ~ spl0_230
    | spl0_630
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6579,f308,f6626,f2340]) ).

fof(f6626,plain,
    ( spl0_630
  <=> ! [X2] :
        ( ~ ssList(skaf67(X2))
        | nil = skaf67(X2)
        | nil != cons(sk5,skaf67(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).

fof(f6579,plain,
    ( ! [X2] :
        ( ~ ssList(skaf67(X2))
        | nil != cons(sk5,skaf67(X2))
        | ~ ssList(cons(sk5,nil))
        | nil = skaf67(X2) )
    | ~ spl0_17 ),
    inference(superposition,[],[f119,f1675]) ).

fof(f6624,plain,
    ( ~ spl0_230
    | spl0_629
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6581,f308,f6622,f2340]) ).

fof(f6622,plain,
    ( spl0_629
  <=> ! [X6,X5] :
        ( ~ memberP(skaf67(X5),X6)
        | ~ ssList(skaf67(X5))
        | memberP(cons(sk5,skaf67(X5)),X6)
        | ~ ssItem(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).

fof(f6581,plain,
    ( ! [X6,X5] :
        ( ~ memberP(skaf67(X5),X6)
        | ~ ssList(cons(sk5,nil))
        | ~ ssItem(X6)
        | memberP(cons(sk5,skaf67(X5)),X6)
        | ~ ssList(skaf67(X5)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f141,f1675]) ).

fof(f6620,plain,
    ( ~ spl0_230
    | spl0_624
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6585,f308,f6600,f2340]) ).

fof(f6600,plain,
    ( spl0_624
  <=> ! [X11,X12] :
        ( ~ ssList(X12)
        | app(X12,skaf67(X11)) != cons(sk5,skaf67(X11))
        | ~ ssList(skaf67(X11))
        | cons(sk5,nil) = X12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).

fof(f6585,plain,
    ( ! [X14,X13] :
        ( cons(sk5,nil) = X14
        | ~ ssList(skaf67(X13))
        | ~ ssList(X14)
        | app(X14,skaf67(X13)) != cons(sk5,skaf67(X13))
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f151,f1675]) ).

fof(f6619,plain,
    ( ~ spl0_230
    | spl0_628
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6588,f308,f6617,f2340]) ).

fof(f6617,plain,
    ( spl0_628
  <=> ! [X18,X19] :
        ( memberP(cons(sk5,nil),skaf64(X19))
        | ~ ssList(skaf67(X18))
        | ~ memberP(cons(sk5,skaf67(X18)),skaf64(X19))
        | memberP(skaf67(X18),skaf64(X19)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).

fof(f6588,plain,
    ( ! [X18,X19] :
        ( memberP(cons(sk5,nil),skaf64(X19))
        | memberP(skaf67(X18),skaf64(X19))
        | ~ memberP(cons(sk5,skaf67(X18)),skaf64(X19))
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf67(X18)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f359,f1675]) ).

fof(f6615,plain,
    ( ~ spl0_230
    | spl0_627
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6611,f308,f6613,f2340]) ).

fof(f6611,plain,
    ( ! [X10,X9] :
        ( ~ ssList(skaf67(X9))
        | skaf67(X9) = X10
        | ~ ssList(X10)
        | ~ ssList(cons(sk5,nil))
        | cons(sk5,X10) != cons(sk5,skaf67(X9)) )
    | ~ spl0_17 ),
    inference(forward_subsumption_demodulation,[],[f6583,f598]) ).

fof(f6583,plain,
    ( ! [X10,X9] :
        ( cons(sk5,skaf67(X9)) != app(cons(sk5,nil),X10)
        | ~ ssList(skaf67(X9))
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(X10)
        | skaf67(X9) = X10 )
    | ~ spl0_17 ),
    inference(superposition,[],[f150,f1675]) ).

fof(f6610,plain,
    ( ~ spl0_230
    | spl0_626
    | spl0_227
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6578,f308,f2329,f6608,f2340]) ).

fof(f6608,plain,
    ( spl0_626
  <=> ! [X1] :
        ( nil != cons(sk5,skaf67(X1))
        | ~ ssList(skaf67(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).

fof(f6578,plain,
    ( ! [X1] :
        ( nil = cons(sk5,nil)
        | nil != cons(sk5,skaf67(X1))
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf67(X1)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f118,f1675]) ).

fof(f6606,plain,
    ( ~ spl0_230
    | spl0_625
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6589,f308,f6604,f2340]) ).

fof(f6604,plain,
    ( spl0_625
  <=> ! [X20,X21] :
        ( ~ memberP(cons(sk5,skaf67(X20)),hd(X21))
        | memberP(skaf67(X20),hd(X21))
        | ~ ssList(X21)
        | memberP(cons(sk5,nil),hd(X21))
        | nil = X21
        | ~ ssList(skaf67(X20)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).

fof(f6589,plain,
    ( ! [X21,X20] :
        ( ~ memberP(cons(sk5,skaf67(X20)),hd(X21))
        | ~ ssList(skaf67(X20))
        | nil = X21
        | memberP(cons(sk5,nil),hd(X21))
        | ~ ssList(X21)
        | memberP(skaf67(X20),hd(X21))
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f527,f1675]) ).

fof(f6602,plain,
    ( spl0_624
    | ~ spl0_230
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6584,f308,f2340,f6600]) ).

fof(f6584,plain,
    ( ! [X11,X12] :
        ( ~ ssList(cons(sk5,nil))
        | ~ ssList(X12)
        | cons(sk5,nil) = X12
        | ~ ssList(skaf67(X11))
        | app(X12,skaf67(X11)) != cons(sk5,skaf67(X11)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f151,f1675]) ).

fof(f6598,plain,
    ( ~ spl0_230
    | spl0_623
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6580,f308,f6596,f2340]) ).

fof(f6596,plain,
    ( spl0_623
  <=> ! [X4,X3] :
        ( memberP(cons(sk5,skaf67(X3)),X4)
        | ~ ssItem(X4)
        | ~ memberP(cons(sk5,nil),X4)
        | ~ ssList(skaf67(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).

fof(f6580,plain,
    ( ! [X3,X4] :
        ( memberP(cons(sk5,skaf67(X3)),X4)
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf67(X3))
        | ~ memberP(cons(sk5,nil),X4)
        | ~ ssItem(X4) )
    | ~ spl0_17 ),
    inference(superposition,[],[f140,f1675]) ).

fof(f6594,plain,
    ( ~ spl0_230
    | spl0_622
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6577,f308,f6592,f2340]) ).

fof(f6592,plain,
    ( spl0_622
  <=> ! [X0] :
        ( ~ ssList(skaf67(X0))
        | ssList(cons(sk5,skaf67(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).

fof(f6577,plain,
    ( ! [X0] :
        ( ~ ssList(skaf67(X0))
        | ~ ssList(cons(sk5,nil))
        | ssList(cons(sk5,skaf67(X0))) )
    | ~ spl0_17 ),
    inference(superposition,[],[f85,f1675]) ).

fof(f6576,plain,
    ( spl0_621
    | ~ spl0_230
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6572,f308,f2340,f6574]) ).

fof(f6574,plain,
    ( spl0_621
  <=> ! [X9,X10] :
        ( ~ ssList(skaf68(X9))
        | ~ ssList(X10)
        | skaf68(X9) = X10
        | cons(sk5,skaf68(X9)) != cons(sk5,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).

fof(f6572,plain,
    ( ! [X10,X9] :
        ( ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf68(X9))
        | cons(sk5,skaf68(X9)) != cons(sk5,X10)
        | skaf68(X9) = X10
        | ~ ssList(X10) )
    | ~ spl0_17 ),
    inference(forward_subsumption_demodulation,[],[f6511,f598]) ).

fof(f6511,plain,
    ( ! [X10,X9] :
        ( ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf68(X9))
        | ~ ssList(X10)
        | cons(sk5,skaf68(X9)) != app(cons(sk5,nil),X10)
        | skaf68(X9) = X10 )
    | ~ spl0_17 ),
    inference(superposition,[],[f150,f1674]) ).

fof(f1674,plain,
    ( ! [X3] : app(cons(sk5,nil),skaf68(X3)) = cons(sk5,skaf68(X3))
    | ~ spl0_17 ),
    inference(resolution,[],[f598,f27]) ).

fof(f27,axiom,
    ! [X0] : ssList(skaf68(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

fof(f6571,plain,
    ( ~ spl0_230
    | spl0_620
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6567,f308,f6569,f2340]) ).

fof(f6569,plain,
    ( spl0_620
  <=> ! [X8,X7] :
        ( ~ ssList(X8)
        | skaf68(X7) = X8
        | ~ ssList(skaf68(X7))
        | cons(sk5,X8) != cons(sk5,skaf68(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).

fof(f6567,plain,
    ( ! [X8,X7] :
        ( ~ ssList(X8)
        | cons(sk5,X8) != cons(sk5,skaf68(X7))
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf68(X7))
        | skaf68(X7) = X8 )
    | ~ spl0_17 ),
    inference(forward_subsumption_demodulation,[],[f6510,f598]) ).

fof(f6510,plain,
    ( ! [X8,X7] :
        ( ~ ssList(cons(sk5,nil))
        | ~ ssList(X8)
        | ~ ssList(skaf68(X7))
        | skaf68(X7) = X8
        | app(cons(sk5,nil),X8) != cons(sk5,skaf68(X7)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f150,f1674]) ).

fof(f6566,plain,
    ( ~ spl0_230
    | spl0_619
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6509,f308,f6564,f2340]) ).

fof(f6564,plain,
    ( spl0_619
  <=> ! [X6,X5] :
        ( memberP(cons(sk5,skaf68(X5)),X6)
        | ~ memberP(skaf68(X5),X6)
        | ~ ssItem(X6)
        | ~ ssList(skaf68(X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).

fof(f6509,plain,
    ( ! [X6,X5] :
        ( memberP(cons(sk5,skaf68(X5)),X6)
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf68(X5))
        | ~ ssItem(X6)
        | ~ memberP(skaf68(X5),X6) )
    | ~ spl0_17 ),
    inference(superposition,[],[f141,f1674]) ).

fof(f6562,plain,
    ( spl0_227
    | ~ spl0_230
    | spl0_618
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6506,f308,f6560,f2340,f2329]) ).

fof(f6560,plain,
    ( spl0_618
  <=> ! [X1] :
        ( ~ ssList(skaf68(X1))
        | nil != cons(sk5,skaf68(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).

fof(f6506,plain,
    ( ! [X1] :
        ( ~ ssList(skaf68(X1))
        | nil != cons(sk5,skaf68(X1))
        | ~ ssList(cons(sk5,nil))
        | nil = cons(sk5,nil) )
    | ~ spl0_17 ),
    inference(superposition,[],[f118,f1674]) ).

fof(f6558,plain,
    ( spl0_617
    | ~ spl0_230
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6505,f308,f2340,f6556]) ).

fof(f6556,plain,
    ( spl0_617
  <=> ! [X0] :
        ( ~ ssList(skaf68(X0))
        | ssList(cons(sk5,skaf68(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).

fof(f6505,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf68(X0))
        | ssList(cons(sk5,skaf68(X0))) )
    | ~ spl0_17 ),
    inference(superposition,[],[f85,f1674]) ).

fof(f6554,plain,
    ( ~ spl0_230
    | spl0_616
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6517,f308,f6552,f2340]) ).

fof(f6552,plain,
    ( spl0_616
  <=> ! [X20,X21] :
        ( memberP(skaf68(X20),hd(X21))
        | nil = X21
        | memberP(cons(sk5,nil),hd(X21))
        | ~ ssList(skaf68(X20))
        | ~ memberP(cons(sk5,skaf68(X20)),hd(X21))
        | ~ ssList(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).

fof(f6517,plain,
    ( ! [X21,X20] :
        ( memberP(skaf68(X20),hd(X21))
        | ~ ssList(X21)
        | ~ memberP(cons(sk5,skaf68(X20)),hd(X21))
        | ~ ssList(skaf68(X20))
        | memberP(cons(sk5,nil),hd(X21))
        | nil = X21
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f527,f1674]) ).

fof(f6550,plain,
    ( ~ spl0_230
    | spl0_615
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6508,f308,f6548,f2340]) ).

fof(f6548,plain,
    ( spl0_615
  <=> ! [X4,X3] :
        ( ~ ssList(skaf68(X3))
        | memberP(cons(sk5,skaf68(X3)),X4)
        | ~ memberP(cons(sk5,nil),X4)
        | ~ ssItem(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).

fof(f6508,plain,
    ( ! [X3,X4] :
        ( ~ ssList(skaf68(X3))
        | ~ ssList(cons(sk5,nil))
        | ~ memberP(cons(sk5,nil),X4)
        | ~ ssItem(X4)
        | memberP(cons(sk5,skaf68(X3)),X4) )
    | ~ spl0_17 ),
    inference(superposition,[],[f140,f1674]) ).

fof(f6546,plain,
    ( ~ spl0_230
    | spl0_614
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6515,f308,f6544,f2340]) ).

fof(f6544,plain,
    ( spl0_614
  <=> ! [X16,X17] :
        ( ~ ssList(skaf68(X16))
        | ~ memberP(cons(sk5,skaf68(X16)),skaf65(X17))
        | memberP(cons(sk5,nil),skaf65(X17))
        | memberP(skaf68(X16),skaf65(X17)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).

fof(f6515,plain,
    ( ! [X16,X17] :
        ( ~ ssList(skaf68(X16))
        | memberP(skaf68(X16),skaf65(X17))
        | ~ ssList(cons(sk5,nil))
        | memberP(cons(sk5,nil),skaf65(X17))
        | ~ memberP(cons(sk5,skaf68(X16)),skaf65(X17)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f357,f1674]) ).

fof(f6542,plain,
    ( spl0_613
    | ~ spl0_230
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6516,f308,f2340,f6540]) ).

fof(f6540,plain,
    ( spl0_613
  <=> ! [X18,X19] :
        ( memberP(cons(sk5,nil),skaf64(X19))
        | ~ memberP(cons(sk5,skaf68(X18)),skaf64(X19))
        | ~ ssList(skaf68(X18))
        | memberP(skaf68(X18),skaf64(X19)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).

fof(f6516,plain,
    ( ! [X18,X19] :
        ( ~ ssList(cons(sk5,nil))
        | memberP(cons(sk5,nil),skaf64(X19))
        | ~ ssList(skaf68(X18))
        | memberP(skaf68(X18),skaf64(X19))
        | ~ memberP(cons(sk5,skaf68(X18)),skaf64(X19)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f359,f1674]) ).

fof(f6538,plain,
    ( ~ spl0_230
    | spl0_612
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6513,f308,f6536,f2340]) ).

fof(f6536,plain,
    ( spl0_612
  <=> ! [X13,X14] :
        ( ~ ssList(X14)
        | app(X14,skaf68(X13)) != cons(sk5,skaf68(X13))
        | ~ ssList(skaf68(X13))
        | cons(sk5,nil) = X14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).

fof(f6513,plain,
    ( ! [X14,X13] :
        ( ~ ssList(X14)
        | cons(sk5,nil) = X14
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(skaf68(X13))
        | app(X14,skaf68(X13)) != cons(sk5,skaf68(X13)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f151,f1674]) ).

fof(f6534,plain,
    ( spl0_611
    | ~ spl0_230
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6507,f308,f2340,f6532]) ).

fof(f6532,plain,
    ( spl0_611
  <=> ! [X2] :
        ( nil = skaf68(X2)
        | nil != cons(sk5,skaf68(X2))
        | ~ ssList(skaf68(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).

fof(f6507,plain,
    ( ! [X2] :
        ( ~ ssList(cons(sk5,nil))
        | nil = skaf68(X2)
        | ~ ssList(skaf68(X2))
        | nil != cons(sk5,skaf68(X2)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f119,f1674]) ).

fof(f6530,plain,
    ( ~ spl0_230
    | spl0_610
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6512,f308,f6528,f2340]) ).

fof(f6528,plain,
    ( spl0_610
  <=> ! [X12,X11] :
        ( cons(sk5,skaf68(X11)) != app(X12,skaf68(X11))
        | cons(sk5,nil) = X12
        | ~ ssList(skaf68(X11))
        | ~ ssList(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).

fof(f6512,plain,
    ( ! [X11,X12] :
        ( cons(sk5,skaf68(X11)) != app(X12,skaf68(X11))
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(X12)
        | ~ ssList(skaf68(X11))
        | cons(sk5,nil) = X12 )
    | ~ spl0_17 ),
    inference(superposition,[],[f151,f1674]) ).

fof(f6526,plain,
    ( spl0_608
    | ~ spl0_230
    | spl0_609
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6514,f308,f6524,f2340,f6520]) ).

fof(f6524,plain,
    ( spl0_609
  <=> ! [X15] :
        ( ~ ssList(skaf68(X15))
        | ~ memberP(cons(sk5,skaf68(X15)),sk5)
        | memberP(skaf68(X15),sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).

fof(f6514,plain,
    ( ! [X15] :
        ( ~ ssList(skaf68(X15))
        | ~ ssList(cons(sk5,nil))
        | memberP(skaf68(X15),sk5)
        | memberP(cons(sk5,nil),sk5)
        | ~ memberP(cons(sk5,skaf68(X15)),sk5) )
    | ~ spl0_17 ),
    inference(superposition,[],[f326,f1674]) ).

fof(f6503,plain,
    ( spl0_607
    | spl0_583
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6414,f6316,f6324,f6501]) ).

fof(f6501,plain,
    ( spl0_607
  <=> ! [X1] :
        ( app(tl(app(sk3,tl(sk3))),X1) = tl(app(app(sk3,tl(sk3)),X1))
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).

fof(f6324,plain,
    ( spl0_583
  <=> nil = app(sk3,tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).

fof(f6414,plain,
    ( ! [X1] :
        ( nil = app(sk3,tl(sk3))
        | app(tl(app(sk3,tl(sk3))),X1) = tl(app(app(sk3,tl(sk3)),X1))
        | ~ ssList(X1) )
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f133]) ).

fof(f133,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1
      | tl(app(X1,X0)) = app(tl(X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f6499,plain,
    ( spl0_586
    | spl0_606
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6416,f6316,f6496,f6337]) ).

fof(f6337,plain,
    ( spl0_586
  <=> strictorderedP(app(sk3,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).

fof(f6496,plain,
    ( spl0_606
  <=> app(sk3,tl(sk3)) = app(app(skaf71(app(sk3,tl(sk3))),cons(skaf69(app(sk3,tl(sk3))),skaf72(app(sk3,tl(sk3))))),cons(skaf70(app(sk3,tl(sk3))),skaf73(app(sk3,tl(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).

fof(f6416,plain,
    ( app(sk3,tl(sk3)) = app(app(skaf71(app(sk3,tl(sk3))),cons(skaf69(app(sk3,tl(sk3))),skaf72(app(sk3,tl(sk3))))),cons(skaf70(app(sk3,tl(sk3))),skaf73(app(sk3,tl(sk3)))))
    | strictorderedP(app(sk3,tl(sk3)))
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f163]) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | strictorderedP(X0)
      | app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f6494,plain,
    ( spl0_605
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6428,f6316,f308,f6491]) ).

fof(f6491,plain,
    ( spl0_605
  <=> cons(sk5,app(sk3,tl(sk3))) = app(cons(sk5,nil),app(sk3,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).

fof(f6428,plain,
    ( cons(sk5,app(sk3,tl(sk3))) = app(cons(sk5,nil),app(sk3,tl(sk3)))
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f598]) ).

fof(f6489,plain,
    ( spl0_583
    | spl0_604
    | ~ spl0_199
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6485,f6316,f2074,f6487,f6324]) ).

fof(f6487,plain,
    ( spl0_604
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sk5 = hd(app(app(sk3,tl(sk3)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).

fof(f2074,plain,
    ( spl0_199
  <=> sk5 = hd(app(sk3,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f6485,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = app(sk3,tl(sk3))
        | sk5 = hd(app(app(sk3,tl(sk3)),X0)) )
    | ~ spl0_199
    | ~ spl0_581 ),
    inference(forward_demodulation,[],[f6413,f2076]) ).

fof(f2076,plain,
    ( sk5 = hd(app(sk3,tl(sk3)))
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f2074]) ).

fof(f6413,plain,
    ( ! [X0] :
        ( hd(app(sk3,tl(sk3))) = hd(app(app(sk3,tl(sk3)),X0))
        | ~ ssList(X0)
        | nil = app(sk3,tl(sk3)) )
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f123]) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | hd(app(X1,X0)) = hd(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f6484,plain,
    ( spl0_603
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6446,f6316,f2016,f639,f6481]) ).

fof(f6481,plain,
    ( spl0_603
  <=> sk5 = hd(app(sk3,app(sk3,tl(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).

fof(f639,plain,
    ( spl0_54
  <=> ! [X25] :
        ( hd(sk3) = hd(app(sk3,X25))
        | ~ ssList(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f6446,plain,
    ( sk5 = hd(app(sk3,app(sk3,tl(sk3))))
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f2021]) ).

fof(f2021,plain,
    ( ! [X25] :
        ( ~ ssList(X25)
        | sk5 = hd(app(sk3,X25)) )
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f640,f2018]) ).

fof(f640,plain,
    ( ! [X25] :
        ( ~ ssList(X25)
        | hd(sk3) = hd(app(sk3,X25)) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f6479,plain,
    ( spl0_602
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6423,f6316,f308,f6476]) ).

fof(f6476,plain,
    ( spl0_602
  <=> sk5 = hd(cons(sk5,app(sk3,tl(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).

fof(f6423,plain,
    ( sk5 = hd(cons(sk5,app(sk3,tl(sk3))))
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f553]) ).

fof(f553,plain,
    ( ! [X11] :
        ( ~ ssList(X11)
        | sk5 = hd(cons(sk5,X11)) )
    | ~ spl0_17 ),
    inference(resolution,[],[f97,f310]) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | hd(cons(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f6474,plain,
    ( spl0_601
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6411,f6316,f6471]) ).

fof(f6471,plain,
    ( spl0_601
  <=> app(nil,app(sk3,tl(sk3))) = app(sk3,tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).

fof(f6411,plain,
    ( app(nil,app(sk3,tl(sk3))) = app(sk3,tl(sk3))
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f74]) ).

fof(f6469,plain,
    ( spl0_600
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6447,f6316,f308,f6466]) ).

fof(f6466,plain,
    ( spl0_600
  <=> app(sk3,tl(sk3)) = tl(cons(sk5,app(sk3,tl(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).

fof(f6447,plain,
    ( app(sk3,tl(sk3)) = tl(cons(sk5,app(sk3,tl(sk3))))
    | ~ spl0_17
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f2318]) ).

fof(f2318,plain,
    ( ! [X10] :
        ( ~ ssList(X10)
        | tl(cons(sk5,X10)) = X10 )
    | ~ spl0_17 ),
    inference(resolution,[],[f96,f310]) ).

fof(f96,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | tl(cons(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f6464,plain,
    ( spl0_599
    | spl0_583
    | ~ spl0_199
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6459,f6316,f2074,f6324,f6461]) ).

fof(f6461,plain,
    ( spl0_599
  <=> cons(sk5,tl(app(sk3,tl(sk3)))) = app(sk3,tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).

fof(f6459,plain,
    ( nil = app(sk3,tl(sk3))
    | cons(sk5,tl(app(sk3,tl(sk3)))) = app(sk3,tl(sk3))
    | ~ spl0_199
    | ~ spl0_581 ),
    inference(forward_demodulation,[],[f6412,f2076]) ).

fof(f6412,plain,
    ( app(sk3,tl(sk3)) = cons(hd(app(sk3,tl(sk3))),tl(app(sk3,tl(sk3))))
    | nil = app(sk3,tl(sk3))
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(hd(X0),tl(X0)) = X0
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f6457,plain,
    ( spl0_582
    | spl0_598
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6417,f6316,f6454,f6320]) ).

fof(f6320,plain,
    ( spl0_582
  <=> totalorderedP(app(sk3,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).

fof(f6454,plain,
    ( spl0_598
  <=> app(app(skaf66(app(sk3,tl(sk3))),cons(skaf64(app(sk3,tl(sk3))),skaf67(app(sk3,tl(sk3))))),cons(skaf65(app(sk3,tl(sk3))),skaf68(app(sk3,tl(sk3))))) = app(sk3,tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).

fof(f6417,plain,
    ( app(app(skaf66(app(sk3,tl(sk3))),cons(skaf64(app(sk3,tl(sk3))),skaf67(app(sk3,tl(sk3))))),cons(skaf65(app(sk3,tl(sk3))),skaf68(app(sk3,tl(sk3))))) = app(sk3,tl(sk3))
    | totalorderedP(app(sk3,tl(sk3)))
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f164]) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0
      | totalorderedP(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f6452,plain,
    ( spl0_597
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f6410,f6316,f6449]) ).

fof(f6449,plain,
    ( spl0_597
  <=> app(app(sk3,tl(sk3)),nil) = app(sk3,tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).

fof(f6410,plain,
    ( app(app(sk3,tl(sk3)),nil) = app(sk3,tl(sk3))
    | ~ spl0_581 ),
    inference(resolution,[],[f6317,f73]) ).

fof(f6409,plain,
    ( ~ spl0_593
    | spl0_590
    | ~ spl0_592
    | ~ spl0_17
    | spl0_596
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f6373,f2091,f6406,f308,f6388,f6381,f6393]) ).

fof(f6393,plain,
    ( spl0_593
  <=> totalorderedP(app(sk3,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).

fof(f6381,plain,
    ( spl0_590
  <=> nil = app(sk3,cons(skaf65(nil),skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).

fof(f6388,plain,
    ( spl0_592
  <=> ssList(app(sk3,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).

fof(f6406,plain,
    ( spl0_596
  <=> totalorderedP(cons(sk5,app(sk3,cons(skaf65(nil),skaf68(nil))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).

fof(f2091,plain,
    ( spl0_202
  <=> sk5 = hd(app(sk3,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f6373,plain,
    ( totalorderedP(cons(sk5,app(sk3,cons(skaf65(nil),skaf68(nil)))))
    | ~ ssItem(sk5)
    | ~ ssList(app(sk3,cons(skaf65(nil),skaf68(nil))))
    | nil = app(sk3,cons(skaf65(nil),skaf68(nil)))
    | ~ totalorderedP(app(sk3,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_202 ),
    inference(superposition,[],[f365,f2093]) ).

fof(f2093,plain,
    ( sk5 = hd(app(sk3,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f2091]) ).

fof(f365,plain,
    ! [X0] :
      ( ~ ssItem(hd(X0))
      | totalorderedP(cons(hd(X0),X0))
      | ~ totalorderedP(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f364]) ).

fof(f364,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | totalorderedP(cons(hd(X0),X0))
      | ~ ssItem(hd(X0))
      | ~ ssItem(hd(X0))
      | nil = X0
      | ~ totalorderedP(X0) ),
    inference(resolution,[],[f62,f159]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( ~ leq(X0,hd(X1))
      | ~ totalorderedP(X1)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | totalorderedP(cons(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f62,axiom,
    ! [X0] :
      ( leq(X0,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f6404,plain,
    ( spl0_590
    | spl0_595
    | ~ spl0_592
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f6371,f2091,f6388,f6401,f6381]) ).

fof(f6401,plain,
    ( spl0_595
  <=> ! [X3] :
        ( tl(app(sk3,cons(skaf65(nil),skaf68(nil)))) != tl(X3)
        | sk5 != hd(X3)
        | app(sk3,cons(skaf65(nil),skaf68(nil))) = X3
        | ~ ssList(X3)
        | nil = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).

fof(f6371,plain,
    ( ! [X2] :
        ( ~ ssList(app(sk3,cons(skaf65(nil),skaf68(nil))))
        | nil = X2
        | sk5 != hd(X2)
        | ~ ssList(X2)
        | app(sk3,cons(skaf65(nil),skaf68(nil))) = X2
        | tl(app(sk3,cons(skaf65(nil),skaf68(nil)))) != tl(X2)
        | nil = app(sk3,cons(skaf65(nil),skaf68(nil))) )
    | ~ spl0_202 ),
    inference(superposition,[],[f177,f2093]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( hd(X0) != hd(X1)
      | tl(X0) != tl(X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1
      | nil = X0
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f6403,plain,
    ( spl0_590
    | ~ spl0_592
    | spl0_595
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f6372,f2091,f6401,f6388,f6381]) ).

fof(f6372,plain,
    ( ! [X3] :
        ( tl(app(sk3,cons(skaf65(nil),skaf68(nil)))) != tl(X3)
        | ~ ssList(app(sk3,cons(skaf65(nil),skaf68(nil))))
        | nil = app(sk3,cons(skaf65(nil),skaf68(nil)))
        | nil = X3
        | ~ ssList(X3)
        | app(sk3,cons(skaf65(nil),skaf68(nil))) = X3
        | sk5 != hd(X3) )
    | ~ spl0_202 ),
    inference(superposition,[],[f177,f2093]) ).

fof(f6399,plain,
    ( ~ spl0_593
    | ~ spl0_592
    | spl0_594
    | spl0_590
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f6369,f2091,f6381,f6397,f6388,f6393]) ).

fof(f6397,plain,
    ( spl0_594
  <=> ! [X0] :
        ( ~ leq(X0,sk5)
        | totalorderedP(cons(X0,app(sk3,cons(skaf65(nil),skaf68(nil)))))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).

fof(f6369,plain,
    ( ! [X0] :
        ( nil = app(sk3,cons(skaf65(nil),skaf68(nil)))
        | ~ leq(X0,sk5)
        | ~ ssList(app(sk3,cons(skaf65(nil),skaf68(nil))))
        | ~ ssItem(X0)
        | ~ totalorderedP(app(sk3,cons(skaf65(nil),skaf68(nil))))
        | totalorderedP(cons(X0,app(sk3,cons(skaf65(nil),skaf68(nil))))) )
    | ~ spl0_202 ),
    inference(superposition,[],[f159,f2093]) ).

fof(f6391,plain,
    ( ~ spl0_589
    | spl0_590
    | spl0_591
    | ~ spl0_592
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f6370,f2091,f6388,f6385,f6381,f6377]) ).

fof(f6377,plain,
    ( spl0_589
  <=> strictorderedP(app(sk3,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).

fof(f6385,plain,
    ( spl0_591
  <=> ! [X1] :
        ( ~ lt(X1,sk5)
        | ~ ssItem(X1)
        | strictorderedP(cons(X1,app(sk3,cons(skaf65(nil),skaf68(nil))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).

fof(f6370,plain,
    ( ! [X1] :
        ( ~ ssList(app(sk3,cons(skaf65(nil),skaf68(nil))))
        | ~ lt(X1,sk5)
        | nil = app(sk3,cons(skaf65(nil),skaf68(nil)))
        | ~ strictorderedP(app(sk3,cons(skaf65(nil),skaf68(nil))))
        | strictorderedP(cons(X1,app(sk3,cons(skaf65(nil),skaf68(nil)))))
        | ~ ssItem(X1) )
    | ~ spl0_202 ),
    inference(superposition,[],[f160,f2093]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,hd(X1))
      | ~ strictorderedP(X1)
      | ~ ssItem(X0)
      | strictorderedP(cons(X0,X1))
      | ~ ssList(X1)
      | nil = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f6350,plain,
    ( ~ spl0_122
    | ~ spl0_7
    | spl0_581 ),
    inference(avatar_split_clause,[],[f6349,f6316,f260,f1179]) ).

fof(f6349,plain,
    ( ~ ssList(sk3)
    | ~ ssList(tl(sk3))
    | spl0_581 ),
    inference(resolution,[],[f6318,f85]) ).

fof(f6318,plain,
    ( ~ ssList(app(sk3,tl(sk3)))
    | spl0_581 ),
    inference(avatar_component_clause,[],[f6316]) ).

fof(f6348,plain,
    ( ~ spl0_17
    | ~ spl0_581
    | ~ spl0_582
    | spl0_588
    | spl0_583
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f6312,f2074,f6324,f6345,f6320,f6316,f308]) ).

fof(f6345,plain,
    ( spl0_588
  <=> totalorderedP(cons(sk5,app(sk3,tl(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).

fof(f6312,plain,
    ( nil = app(sk3,tl(sk3))
    | totalorderedP(cons(sk5,app(sk3,tl(sk3))))
    | ~ totalorderedP(app(sk3,tl(sk3)))
    | ~ ssList(app(sk3,tl(sk3)))
    | ~ ssItem(sk5)
    | ~ spl0_199 ),
    inference(superposition,[],[f365,f2076]) ).

fof(f6343,plain,
    ( ~ spl0_586
    | spl0_583
    | ~ spl0_581
    | spl0_587
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f6309,f2074,f6341,f6316,f6324,f6337]) ).

fof(f6341,plain,
    ( spl0_587
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | strictorderedP(cons(X1,app(sk3,tl(sk3))))
        | ~ lt(X1,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).

fof(f6309,plain,
    ( ! [X1] :
        ( ~ ssItem(X1)
        | ~ lt(X1,sk5)
        | strictorderedP(cons(X1,app(sk3,tl(sk3))))
        | ~ ssList(app(sk3,tl(sk3)))
        | nil = app(sk3,tl(sk3))
        | ~ strictorderedP(app(sk3,tl(sk3))) )
    | ~ spl0_199 ),
    inference(superposition,[],[f160,f2076]) ).

fof(f6335,plain,
    ( ~ spl0_581
    | spl0_585
    | spl0_583
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f6311,f2074,f6324,f6332,f6316]) ).

fof(f6332,plain,
    ( spl0_585
  <=> ! [X2] :
        ( nil = X2
        | sk5 != hd(X2)
        | app(sk3,tl(sk3)) = X2
        | ~ ssList(X2)
        | tl(X2) != tl(app(sk3,tl(sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).

fof(f6311,plain,
    ( ! [X3] :
        ( nil = app(sk3,tl(sk3))
        | ~ ssList(X3)
        | nil = X3
        | tl(X3) != tl(app(sk3,tl(sk3)))
        | app(sk3,tl(sk3)) = X3
        | sk5 != hd(X3)
        | ~ ssList(app(sk3,tl(sk3))) )
    | ~ spl0_199 ),
    inference(superposition,[],[f177,f2076]) ).

fof(f6334,plain,
    ( ~ spl0_581
    | spl0_583
    | spl0_585
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f6310,f2074,f6332,f6324,f6316]) ).

fof(f6310,plain,
    ( ! [X2] :
        ( nil = X2
        | nil = app(sk3,tl(sk3))
        | tl(X2) != tl(app(sk3,tl(sk3)))
        | ~ ssList(X2)
        | app(sk3,tl(sk3)) = X2
        | sk5 != hd(X2)
        | ~ ssList(app(sk3,tl(sk3))) )
    | ~ spl0_199 ),
    inference(superposition,[],[f177,f2076]) ).

fof(f6330,plain,
    ( ~ spl0_581
    | ~ spl0_582
    | spl0_583
    | spl0_584
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f6308,f2074,f6328,f6324,f6320,f6316]) ).

fof(f6328,plain,
    ( spl0_584
  <=> ! [X0] :
        ( ~ leq(X0,sk5)
        | ~ ssItem(X0)
        | totalorderedP(cons(X0,app(sk3,tl(sk3)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).

fof(f6308,plain,
    ( ! [X0] :
        ( ~ leq(X0,sk5)
        | nil = app(sk3,tl(sk3))
        | totalorderedP(cons(X0,app(sk3,tl(sk3))))
        | ~ totalorderedP(app(sk3,tl(sk3)))
        | ~ ssList(app(sk3,tl(sk3)))
        | ~ ssItem(X0) )
    | ~ spl0_199 ),
    inference(superposition,[],[f159,f2076]) ).

fof(f6306,plain,
    ( ~ spl0_17
    | spl0_580
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f6300,f2016,f639,f6304,f308]) ).

fof(f6304,plain,
    ( spl0_580
  <=> ! [X9] :
        ( ~ totalorderedP(app(sk3,skaf71(X9)))
        | ~ ssList(app(sk3,skaf71(X9)))
        | totalorderedP(cons(sk5,app(sk3,skaf71(X9))))
        | nil = app(sk3,skaf71(X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).

fof(f6300,plain,
    ( ! [X9] :
        ( ~ totalorderedP(app(sk3,skaf71(X9)))
        | nil = app(sk3,skaf71(X9))
        | totalorderedP(cons(sk5,app(sk3,skaf71(X9))))
        | ~ ssItem(sk5)
        | ~ ssList(app(sk3,skaf71(X9))) )
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(superposition,[],[f365,f2031]) ).

fof(f2031,plain,
    ( ! [X2] : sk5 = hd(app(sk3,skaf71(X2)))
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1298,f2018]) ).

fof(f1298,plain,
    ( ! [X2] : hd(app(sk3,skaf71(X2))) = hd(sk3)
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f24]) ).

fof(f24,axiom,
    ! [X0] : ssList(skaf71(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

fof(f6294,plain,
    ( ~ spl0_573
    | ~ spl0_578
    | spl0_572
    | spl0_579
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f6253,f1425,f6292,f6260,f6288,f6264]) ).

fof(f6264,plain,
    ( spl0_573
  <=> ssList(cons(sk5,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).

fof(f6288,plain,
    ( spl0_578
  <=> strictorderedP(cons(sk5,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).

fof(f6260,plain,
    ( spl0_572
  <=> nil = cons(sk5,cons(skaf65(nil),skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).

fof(f6292,plain,
    ( spl0_579
  <=> ! [X1] :
        ( ~ lt(X1,sk5)
        | ~ ssItem(X1)
        | strictorderedP(cons(X1,cons(sk5,cons(skaf65(nil),skaf68(nil))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).

fof(f1425,plain,
    ( spl0_157
  <=> sk5 = hd(cons(sk5,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f6253,plain,
    ( ! [X1] :
        ( ~ lt(X1,sk5)
        | strictorderedP(cons(X1,cons(sk5,cons(skaf65(nil),skaf68(nil)))))
        | nil = cons(sk5,cons(skaf65(nil),skaf68(nil)))
        | ~ strictorderedP(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | ~ ssList(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | ~ ssItem(X1) )
    | ~ spl0_157 ),
    inference(superposition,[],[f160,f1427]) ).

fof(f1427,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1425]) ).

fof(f6286,plain,
    ( ~ spl0_575
    | spl0_572
    | spl0_577
    | ~ spl0_573
    | ~ spl0_17
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f6256,f1425,f308,f6264,f6283,f6260,f6271]) ).

fof(f6271,plain,
    ( spl0_575
  <=> totalorderedP(cons(sk5,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).

fof(f6283,plain,
    ( spl0_577
  <=> totalorderedP(cons(sk5,cons(sk5,cons(skaf65(nil),skaf68(nil))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).

fof(f6256,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(cons(sk5,cons(skaf65(nil),skaf68(nil))))
    | totalorderedP(cons(sk5,cons(sk5,cons(skaf65(nil),skaf68(nil)))))
    | nil = cons(sk5,cons(skaf65(nil),skaf68(nil)))
    | ~ totalorderedP(cons(sk5,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_157 ),
    inference(superposition,[],[f365,f1427]) ).

fof(f6281,plain,
    ( spl0_572
    | ~ spl0_573
    | spl0_576
    | ~ spl0_157
    | ~ spl0_505 ),
    inference(avatar_split_clause,[],[f6280,f5734,f1425,f6277,f6264,f6260]) ).

fof(f6277,plain,
    ( spl0_576
  <=> ! [X2] :
        ( nil = X2
        | tl(X2) != cons(skaf65(nil),skaf68(nil))
        | ~ ssList(X2)
        | cons(sk5,cons(skaf65(nil),skaf68(nil))) = X2
        | sk5 != hd(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).

fof(f5734,plain,
    ( spl0_505
  <=> cons(skaf65(nil),skaf68(nil)) = tl(cons(sk5,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).

fof(f6280,plain,
    ( ! [X3] :
        ( nil = X3
        | ~ ssList(X3)
        | sk5 != hd(X3)
        | tl(X3) != cons(skaf65(nil),skaf68(nil))
        | ~ ssList(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | nil = cons(sk5,cons(skaf65(nil),skaf68(nil)))
        | cons(sk5,cons(skaf65(nil),skaf68(nil))) = X3 )
    | ~ spl0_157
    | ~ spl0_505 ),
    inference(forward_demodulation,[],[f6255,f5736]) ).

fof(f5736,plain,
    ( cons(skaf65(nil),skaf68(nil)) = tl(cons(sk5,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_505 ),
    inference(avatar_component_clause,[],[f5734]) ).

fof(f6255,plain,
    ( ! [X3] :
        ( tl(X3) != tl(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | ~ ssList(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | nil = X3
        | sk5 != hd(X3)
        | nil = cons(sk5,cons(skaf65(nil),skaf68(nil)))
        | ~ ssList(X3)
        | cons(sk5,cons(skaf65(nil),skaf68(nil))) = X3 )
    | ~ spl0_157 ),
    inference(superposition,[],[f177,f1427]) ).

fof(f6279,plain,
    ( ~ spl0_573
    | spl0_572
    | spl0_576
    | ~ spl0_157
    | ~ spl0_505 ),
    inference(avatar_split_clause,[],[f6275,f5734,f1425,f6277,f6260,f6264]) ).

fof(f6275,plain,
    ( ! [X2] :
        ( nil = X2
        | nil = cons(sk5,cons(skaf65(nil),skaf68(nil)))
        | sk5 != hd(X2)
        | cons(sk5,cons(skaf65(nil),skaf68(nil))) = X2
        | ~ ssList(X2)
        | ~ ssList(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | tl(X2) != cons(skaf65(nil),skaf68(nil)) )
    | ~ spl0_157
    | ~ spl0_505 ),
    inference(forward_demodulation,[],[f6254,f5736]) ).

fof(f6254,plain,
    ( ! [X2] :
        ( nil = X2
        | ~ ssList(X2)
        | ~ ssList(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | sk5 != hd(X2)
        | nil = cons(sk5,cons(skaf65(nil),skaf68(nil)))
        | tl(X2) != tl(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | cons(sk5,cons(skaf65(nil),skaf68(nil))) = X2 )
    | ~ spl0_157 ),
    inference(superposition,[],[f177,f1427]) ).

fof(f6274,plain,
    ( spl0_572
    | ~ spl0_573
    | spl0_574
    | ~ spl0_575
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f6252,f1425,f6271,f6268,f6264,f6260]) ).

fof(f6268,plain,
    ( spl0_574
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | totalorderedP(cons(X0,cons(sk5,cons(skaf65(nil),skaf68(nil)))))
        | ~ leq(X0,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).

fof(f6252,plain,
    ( ! [X0] :
        ( ~ totalorderedP(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | ~ ssItem(X0)
        | ~ leq(X0,sk5)
        | ~ ssList(cons(sk5,cons(skaf65(nil),skaf68(nil))))
        | nil = cons(sk5,cons(skaf65(nil),skaf68(nil)))
        | totalorderedP(cons(X0,cons(sk5,cons(skaf65(nil),skaf68(nil))))) )
    | ~ spl0_157 ),
    inference(superposition,[],[f159,f1427]) ).

fof(f6250,plain,
    ( ~ spl0_230
    | ~ spl0_571
    | spl0_227
    | ~ spl0_73
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f6245,f1685,f788,f2329,f6247,f2340]) ).

fof(f6247,plain,
    ( spl0_571
  <=> sk3 = cons(sk5,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).

fof(f788,plain,
    ( spl0_73
  <=> ! [X0] :
        ( nil = X0
        | sk3 != app(X0,sk3)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f6245,plain,
    ( nil = cons(sk5,nil)
    | sk3 != cons(sk5,sk3)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_73
    | ~ spl0_171 ),
    inference(superposition,[],[f789,f1687]) ).

fof(f789,plain,
    ( ! [X0] :
        ( sk3 != app(X0,sk3)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f6243,plain,
    ( ~ spl0_17
    | spl0_570
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f6237,f2016,f639,f6241,f308]) ).

fof(f6241,plain,
    ( spl0_570
  <=> ! [X9] :
        ( totalorderedP(cons(sk5,app(sk3,skaf72(X9))))
        | nil = app(sk3,skaf72(X9))
        | ~ ssList(app(sk3,skaf72(X9)))
        | ~ totalorderedP(app(sk3,skaf72(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).

fof(f6237,plain,
    ( ! [X9] :
        ( totalorderedP(cons(sk5,app(sk3,skaf72(X9))))
        | ~ totalorderedP(app(sk3,skaf72(X9)))
        | ~ ssItem(sk5)
        | ~ ssList(app(sk3,skaf72(X9)))
        | nil = app(sk3,skaf72(X9)) )
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(superposition,[],[f365,f2030]) ).

fof(f2030,plain,
    ( ! [X1] : sk5 = hd(app(sk3,skaf72(X1)))
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1297,f2018]) ).

fof(f1297,plain,
    ( ! [X1] : hd(sk3) = hd(app(sk3,skaf72(X1)))
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f23]) ).

fof(f23,axiom,
    ! [X0] : ssList(skaf72(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

fof(f6231,plain,
    ( ~ spl0_17
    | spl0_569
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f6225,f2016,f639,f6229,f308]) ).

fof(f6229,plain,
    ( spl0_569
  <=> ! [X9] :
        ( nil = app(sk3,skaf73(X9))
        | ~ totalorderedP(app(sk3,skaf73(X9)))
        | totalorderedP(cons(sk5,app(sk3,skaf73(X9))))
        | ~ ssList(app(sk3,skaf73(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).

fof(f6225,plain,
    ( ! [X9] :
        ( nil = app(sk3,skaf73(X9))
        | ~ ssList(app(sk3,skaf73(X9)))
        | totalorderedP(cons(sk5,app(sk3,skaf73(X9))))
        | ~ totalorderedP(app(sk3,skaf73(X9)))
        | ~ ssItem(sk5) )
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(superposition,[],[f365,f2029]) ).

fof(f2029,plain,
    ( ! [X0] : sk5 = hd(app(sk3,skaf73(X0)))
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1296,f2018]) ).

fof(f1296,plain,
    ( ! [X0] : hd(sk3) = hd(app(sk3,skaf73(X0)))
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f22]) ).

fof(f22,axiom,
    ! [X0] : ssList(skaf73(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f6218,plain,
    ( ~ spl0_5
    | ~ spl0_122
    | spl0_568
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f6203,f1921,f6213,f1179,f249]) ).

fof(f6213,plain,
    ( spl0_568
  <=> ! [X3] :
        ( app(tl(sk3),X3) != tl(sk3)
        | ~ ssList(X3)
        | nil = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).

fof(f1921,plain,
    ( spl0_188
  <=> app(tl(sk3),nil) = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f6203,plain,
    ( ! [X2] :
        ( app(tl(sk3),X2) != tl(sk3)
        | ~ ssList(tl(sk3))
        | ~ ssList(nil)
        | nil = X2
        | ~ ssList(X2) )
    | ~ spl0_188 ),
    inference(superposition,[],[f150,f1923]) ).

fof(f1923,plain,
    ( app(tl(sk3),nil) = tl(sk3)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1921]) ).

fof(f6215,plain,
    ( ~ spl0_5
    | spl0_568
    | ~ spl0_122
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f6204,f1921,f1179,f6213,f249]) ).

fof(f6204,plain,
    ( ! [X3] :
        ( ~ ssList(tl(sk3))
        | app(tl(sk3),X3) != tl(sk3)
        | nil = X3
        | ~ ssList(X3)
        | ~ ssList(nil) )
    | ~ spl0_188 ),
    inference(superposition,[],[f150,f1923]) ).

fof(f6197,plain,
    ( spl0_563
    | ~ spl0_562
    | spl0_567
    | ~ spl0_561
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f6157,f4875,f6169,f6195,f6173,f6177]) ).

fof(f6177,plain,
    ( spl0_563
  <=> nil = app(sk3,cons(skaf65(nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).

fof(f6173,plain,
    ( spl0_562
  <=> ssList(app(sk3,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).

fof(f6195,plain,
    ( spl0_567
  <=> ! [X0] :
        ( ~ leq(X0,sk5)
        | ~ ssItem(X0)
        | totalorderedP(cons(X0,app(sk3,cons(skaf65(nil),nil)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).

fof(f6169,plain,
    ( spl0_561
  <=> totalorderedP(app(sk3,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).

fof(f4875,plain,
    ( spl0_449
  <=> sk5 = hd(app(sk3,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f6157,plain,
    ( ! [X0] :
        ( ~ totalorderedP(app(sk3,cons(skaf65(nil),nil)))
        | ~ leq(X0,sk5)
        | ~ ssList(app(sk3,cons(skaf65(nil),nil)))
        | totalorderedP(cons(X0,app(sk3,cons(skaf65(nil),nil))))
        | ~ ssItem(X0)
        | nil = app(sk3,cons(skaf65(nil),nil)) )
    | ~ spl0_449 ),
    inference(superposition,[],[f159,f4877]) ).

fof(f4877,plain,
    ( sk5 = hd(app(sk3,cons(skaf65(nil),nil)))
    | ~ spl0_449 ),
    inference(avatar_component_clause,[],[f4875]) ).

fof(f6193,plain,
    ( spl0_566
    | spl0_563
    | ~ spl0_562
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f6159,f4875,f6173,f6177,f6190]) ).

fof(f6190,plain,
    ( spl0_566
  <=> ! [X3] :
        ( tl(X3) != tl(app(sk3,cons(skaf65(nil),nil)))
        | app(sk3,cons(skaf65(nil),nil)) = X3
        | sk5 != hd(X3)
        | nil = X3
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).

fof(f6159,plain,
    ( ! [X2] :
        ( ~ ssList(app(sk3,cons(skaf65(nil),nil)))
        | nil = app(sk3,cons(skaf65(nil),nil))
        | app(sk3,cons(skaf65(nil),nil)) = X2
        | nil = X2
        | sk5 != hd(X2)
        | ~ ssList(X2)
        | tl(X2) != tl(app(sk3,cons(skaf65(nil),nil))) )
    | ~ spl0_449 ),
    inference(superposition,[],[f177,f4877]) ).

fof(f6192,plain,
    ( ~ spl0_562
    | spl0_566
    | spl0_563
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f6160,f4875,f6177,f6190,f6173]) ).

fof(f6160,plain,
    ( ! [X3] :
        ( nil = app(sk3,cons(skaf65(nil),nil))
        | tl(X3) != tl(app(sk3,cons(skaf65(nil),nil)))
        | ~ ssList(app(sk3,cons(skaf65(nil),nil)))
        | ~ ssList(X3)
        | nil = X3
        | sk5 != hd(X3)
        | app(sk3,cons(skaf65(nil),nil)) = X3 )
    | ~ spl0_449 ),
    inference(superposition,[],[f177,f4877]) ).

fof(f6188,plain,
    ( spl0_563
    | ~ spl0_562
    | ~ spl0_564
    | spl0_565
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f6158,f4875,f6186,f6182,f6173,f6177]) ).

fof(f6182,plain,
    ( spl0_564
  <=> strictorderedP(app(sk3,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).

fof(f6186,plain,
    ( spl0_565
  <=> ! [X1] :
        ( ~ lt(X1,sk5)
        | strictorderedP(cons(X1,app(sk3,cons(skaf65(nil),nil))))
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).

fof(f6158,plain,
    ( ! [X1] :
        ( ~ lt(X1,sk5)
        | ~ ssItem(X1)
        | ~ strictorderedP(app(sk3,cons(skaf65(nil),nil)))
        | ~ ssList(app(sk3,cons(skaf65(nil),nil)))
        | strictorderedP(cons(X1,app(sk3,cons(skaf65(nil),nil))))
        | nil = app(sk3,cons(skaf65(nil),nil)) )
    | ~ spl0_449 ),
    inference(superposition,[],[f160,f4877]) ).

fof(f6180,plain,
    ( spl0_560
    | ~ spl0_17
    | ~ spl0_561
    | ~ spl0_562
    | spl0_563
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f6161,f4875,f6177,f6173,f6169,f308,f6165]) ).

fof(f6165,plain,
    ( spl0_560
  <=> totalorderedP(cons(sk5,app(sk3,cons(skaf65(nil),nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).

fof(f6161,plain,
    ( nil = app(sk3,cons(skaf65(nil),nil))
    | ~ ssList(app(sk3,cons(skaf65(nil),nil)))
    | ~ totalorderedP(app(sk3,cons(skaf65(nil),nil)))
    | ~ ssItem(sk5)
    | totalorderedP(cons(sk5,app(sk3,cons(skaf65(nil),nil))))
    | ~ spl0_449 ),
    inference(superposition,[],[f365,f4877]) ).

fof(f6155,plain,
    ( ~ spl0_555
    | spl0_552
    | ~ spl0_553
    | spl0_559
    | ~ spl0_438 ),
    inference(avatar_split_clause,[],[f6113,f4810,f6153,f6126,f6122,f6134]) ).

fof(f6134,plain,
    ( spl0_555
  <=> totalorderedP(cons(sk5,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).

fof(f6122,plain,
    ( spl0_552
  <=> nil = cons(sk5,cons(skaf65(nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).

fof(f6126,plain,
    ( spl0_553
  <=> ssList(cons(sk5,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).

fof(f6153,plain,
    ( spl0_559
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | totalorderedP(cons(X0,cons(sk5,cons(skaf65(nil),nil))))
        | ~ leq(X0,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).

fof(f4810,plain,
    ( spl0_438
  <=> sk5 = hd(cons(sk5,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f6113,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ leq(X0,sk5)
        | totalorderedP(cons(X0,cons(sk5,cons(skaf65(nil),nil))))
        | ~ ssList(cons(sk5,cons(skaf65(nil),nil)))
        | nil = cons(sk5,cons(skaf65(nil),nil))
        | ~ totalorderedP(cons(sk5,cons(skaf65(nil),nil))) )
    | ~ spl0_438 ),
    inference(superposition,[],[f159,f4812]) ).

fof(f4812,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(nil),nil)))
    | ~ spl0_438 ),
    inference(avatar_component_clause,[],[f4810]) ).

fof(f6151,plain,
    ( ~ spl0_553
    | spl0_552
    | spl0_554
    | ~ spl0_438
    | ~ spl0_498 ),
    inference(avatar_split_clause,[],[f6150,f5693,f4810,f6130,f6122,f6126]) ).

fof(f6130,plain,
    ( spl0_554
  <=> ! [X3] :
        ( ~ ssList(X3)
        | cons(skaf65(nil),nil) != tl(X3)
        | cons(sk5,cons(skaf65(nil),nil)) = X3
        | nil = X3
        | sk5 != hd(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).

fof(f5693,plain,
    ( spl0_498
  <=> cons(skaf65(nil),nil) = tl(cons(sk5,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).

fof(f6150,plain,
    ( ! [X2] :
        ( cons(skaf65(nil),nil) != tl(X2)
        | sk5 != hd(X2)
        | nil = cons(sk5,cons(skaf65(nil),nil))
        | ~ ssList(cons(sk5,cons(skaf65(nil),nil)))
        | ~ ssList(X2)
        | nil = X2
        | cons(sk5,cons(skaf65(nil),nil)) = X2 )
    | ~ spl0_438
    | ~ spl0_498 ),
    inference(forward_demodulation,[],[f6115,f5695]) ).

fof(f5695,plain,
    ( cons(skaf65(nil),nil) = tl(cons(sk5,cons(skaf65(nil),nil)))
    | ~ spl0_498 ),
    inference(avatar_component_clause,[],[f5693]) ).

fof(f6115,plain,
    ( ! [X2] :
        ( cons(sk5,cons(skaf65(nil),nil)) = X2
        | nil = X2
        | tl(X2) != tl(cons(sk5,cons(skaf65(nil),nil)))
        | nil = cons(sk5,cons(skaf65(nil),nil))
        | ~ ssList(cons(sk5,cons(skaf65(nil),nil)))
        | ~ ssList(X2)
        | sk5 != hd(X2) )
    | ~ spl0_438 ),
    inference(superposition,[],[f177,f4812]) ).

fof(f6149,plain,
    ( spl0_552
    | spl0_557
    | ~ spl0_558
    | ~ spl0_553
    | ~ spl0_438 ),
    inference(avatar_split_clause,[],[f6114,f4810,f6126,f6146,f6143,f6122]) ).

fof(f6143,plain,
    ( spl0_557
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | ~ lt(X1,sk5)
        | strictorderedP(cons(X1,cons(sk5,cons(skaf65(nil),nil)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).

fof(f6146,plain,
    ( spl0_558
  <=> strictorderedP(cons(sk5,cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).

fof(f6114,plain,
    ( ! [X1] :
        ( ~ ssList(cons(sk5,cons(skaf65(nil),nil)))
        | ~ strictorderedP(cons(sk5,cons(skaf65(nil),nil)))
        | ~ ssItem(X1)
        | strictorderedP(cons(X1,cons(sk5,cons(skaf65(nil),nil))))
        | nil = cons(sk5,cons(skaf65(nil),nil))
        | ~ lt(X1,sk5) )
    | ~ spl0_438 ),
    inference(superposition,[],[f160,f4812]) ).

fof(f6141,plain,
    ( ~ spl0_17
    | ~ spl0_553
    | ~ spl0_555
    | spl0_552
    | spl0_556
    | ~ spl0_438 ),
    inference(avatar_split_clause,[],[f6117,f4810,f6138,f6122,f6134,f6126,f308]) ).

fof(f6138,plain,
    ( spl0_556
  <=> totalorderedP(cons(sk5,cons(sk5,cons(skaf65(nil),nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).

fof(f6117,plain,
    ( totalorderedP(cons(sk5,cons(sk5,cons(skaf65(nil),nil))))
    | nil = cons(sk5,cons(skaf65(nil),nil))
    | ~ totalorderedP(cons(sk5,cons(skaf65(nil),nil)))
    | ~ ssList(cons(sk5,cons(skaf65(nil),nil)))
    | ~ ssItem(sk5)
    | ~ spl0_438 ),
    inference(superposition,[],[f365,f4812]) ).

fof(f6132,plain,
    ( spl0_552
    | ~ spl0_553
    | spl0_554
    | ~ spl0_438
    | ~ spl0_498 ),
    inference(avatar_split_clause,[],[f6120,f5693,f4810,f6130,f6126,f6122]) ).

fof(f6120,plain,
    ( ! [X3] :
        ( ~ ssList(X3)
        | sk5 != hd(X3)
        | nil = X3
        | cons(sk5,cons(skaf65(nil),nil)) = X3
        | cons(skaf65(nil),nil) != tl(X3)
        | ~ ssList(cons(sk5,cons(skaf65(nil),nil)))
        | nil = cons(sk5,cons(skaf65(nil),nil)) )
    | ~ spl0_438
    | ~ spl0_498 ),
    inference(forward_demodulation,[],[f6116,f5695]) ).

fof(f6116,plain,
    ( ! [X3] :
        ( sk5 != hd(X3)
        | nil = cons(sk5,cons(skaf65(nil),nil))
        | ~ ssList(cons(sk5,cons(skaf65(nil),nil)))
        | ~ ssList(X3)
        | tl(X3) != tl(cons(sk5,cons(skaf65(nil),nil)))
        | cons(sk5,cons(skaf65(nil),nil)) = X3
        | nil = X3 )
    | ~ spl0_438 ),
    inference(superposition,[],[f177,f4812]) ).

fof(f6110,plain,
    ( spl0_544
    | ~ spl0_550
    | ~ spl0_546
    | spl0_551
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f6071,f3311,f6108,f6085,f6104,f6078]) ).

fof(f6078,plain,
    ( spl0_544
  <=> nil = app(sk3,cons(sk5,skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).

fof(f6104,plain,
    ( spl0_550
  <=> strictorderedP(app(sk3,cons(sk5,skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).

fof(f6085,plain,
    ( spl0_546
  <=> ssList(app(sk3,cons(sk5,skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).

fof(f6108,plain,
    ( spl0_551
  <=> ! [X1] :
        ( strictorderedP(cons(X1,app(sk3,cons(sk5,skaf68(sk3)))))
        | ~ ssItem(X1)
        | ~ lt(X1,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).

fof(f3311,plain,
    ( spl0_306
  <=> sk5 = hd(app(sk3,cons(sk5,skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f6071,plain,
    ( ! [X1] :
        ( strictorderedP(cons(X1,app(sk3,cons(sk5,skaf68(sk3)))))
        | ~ ssList(app(sk3,cons(sk5,skaf68(sk3))))
        | ~ lt(X1,sk5)
        | ~ strictorderedP(app(sk3,cons(sk5,skaf68(sk3))))
        | ~ ssItem(X1)
        | nil = app(sk3,cons(sk5,skaf68(sk3))) )
    | ~ spl0_306 ),
    inference(superposition,[],[f160,f3313]) ).

fof(f3313,plain,
    ( sk5 = hd(app(sk3,cons(sk5,skaf68(sk3))))
    | ~ spl0_306 ),
    inference(avatar_component_clause,[],[f3311]) ).

fof(f6102,plain,
    ( ~ spl0_17
    | ~ spl0_547
    | spl0_544
    | spl0_549
    | ~ spl0_546
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f6074,f3311,f6085,f6099,f6078,f6091,f308]) ).

fof(f6091,plain,
    ( spl0_547
  <=> totalorderedP(app(sk3,cons(sk5,skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).

fof(f6099,plain,
    ( spl0_549
  <=> totalorderedP(cons(sk5,app(sk3,cons(sk5,skaf68(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).

fof(f6074,plain,
    ( ~ ssList(app(sk3,cons(sk5,skaf68(sk3))))
    | totalorderedP(cons(sk5,app(sk3,cons(sk5,skaf68(sk3)))))
    | nil = app(sk3,cons(sk5,skaf68(sk3)))
    | ~ totalorderedP(app(sk3,cons(sk5,skaf68(sk3))))
    | ~ ssItem(sk5)
    | ~ spl0_306 ),
    inference(superposition,[],[f365,f3313]) ).

fof(f6097,plain,
    ( spl0_544
    | ~ spl0_547
    | ~ spl0_546
    | spl0_548
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f6070,f3311,f6095,f6085,f6091,f6078]) ).

fof(f6095,plain,
    ( spl0_548
  <=> ! [X0] :
        ( totalorderedP(cons(X0,app(sk3,cons(sk5,skaf68(sk3)))))
        | ~ ssItem(X0)
        | ~ leq(X0,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).

fof(f6070,plain,
    ( ! [X0] :
        ( totalorderedP(cons(X0,app(sk3,cons(sk5,skaf68(sk3)))))
        | ~ leq(X0,sk5)
        | ~ ssList(app(sk3,cons(sk5,skaf68(sk3))))
        | ~ totalorderedP(app(sk3,cons(sk5,skaf68(sk3))))
        | nil = app(sk3,cons(sk5,skaf68(sk3)))
        | ~ ssItem(X0) )
    | ~ spl0_306 ),
    inference(superposition,[],[f159,f3313]) ).

fof(f6089,plain,
    ( spl0_544
    | spl0_545
    | ~ spl0_546
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f6073,f3311,f6085,f6082,f6078]) ).

fof(f6082,plain,
    ( spl0_545
  <=> ! [X2] :
        ( app(sk3,cons(sk5,skaf68(sk3))) = X2
        | nil = X2
        | tl(app(sk3,cons(sk5,skaf68(sk3)))) != tl(X2)
        | sk5 != hd(X2)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).

fof(f6073,plain,
    ( ! [X3] :
        ( ~ ssList(app(sk3,cons(sk5,skaf68(sk3))))
        | app(sk3,cons(sk5,skaf68(sk3))) = X3
        | sk5 != hd(X3)
        | nil = app(sk3,cons(sk5,skaf68(sk3)))
        | tl(X3) != tl(app(sk3,cons(sk5,skaf68(sk3))))
        | ~ ssList(X3)
        | nil = X3 )
    | ~ spl0_306 ),
    inference(superposition,[],[f177,f3313]) ).

fof(f6088,plain,
    ( spl0_544
    | spl0_545
    | ~ spl0_546
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f6072,f3311,f6085,f6082,f6078]) ).

fof(f6072,plain,
    ( ! [X2] :
        ( ~ ssList(app(sk3,cons(sk5,skaf68(sk3))))
        | app(sk3,cons(sk5,skaf68(sk3))) = X2
        | ~ ssList(X2)
        | nil = app(sk3,cons(sk5,skaf68(sk3)))
        | sk5 != hd(X2)
        | tl(app(sk3,cons(sk5,skaf68(sk3)))) != tl(X2)
        | nil = X2 )
    | ~ spl0_306 ),
    inference(superposition,[],[f177,f3313]) ).

fof(f6068,plain,
    ( ~ spl0_5
    | ~ spl0_122
    | spl0_543
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f6055,f1916,f6065,f1179,f249]) ).

fof(f6065,plain,
    ( spl0_543
  <=> ! [X5] :
        ( app(X5,tl(sk3)) != tl(sk3)
        | ~ ssList(X5)
        | nil = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).

fof(f1916,plain,
    ( spl0_187
  <=> tl(sk3) = app(nil,tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f6055,plain,
    ( ! [X4] :
        ( app(X4,tl(sk3)) != tl(sk3)
        | ~ ssList(X4)
        | nil = X4
        | ~ ssList(tl(sk3))
        | ~ ssList(nil) )
    | ~ spl0_187 ),
    inference(superposition,[],[f151,f1918]) ).

fof(f1918,plain,
    ( tl(sk3) = app(nil,tl(sk3))
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1916]) ).

fof(f6067,plain,
    ( ~ spl0_5
    | ~ spl0_122
    | spl0_543
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f6056,f1916,f6065,f1179,f249]) ).

fof(f6056,plain,
    ( ! [X5] :
        ( app(X5,tl(sk3)) != tl(sk3)
        | ~ ssList(tl(sk3))
        | ~ ssList(nil)
        | nil = X5
        | ~ ssList(X5) )
    | ~ spl0_187 ),
    inference(superposition,[],[f151,f1918]) ).

fof(f6046,plain,
    ( spl0_542
    | ~ spl0_17
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f6039,f308,f308,f6044]) ).

fof(f6044,plain,
    ( spl0_542
  <=> ! [X9] :
        ( totalorderedP(cons(sk5,cons(sk5,skaf71(X9))))
        | ~ totalorderedP(cons(sk5,skaf71(X9)))
        | nil = cons(sk5,skaf71(X9))
        | ~ ssList(cons(sk5,skaf71(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).

fof(f6039,plain,
    ( ! [X9] :
        ( ~ ssItem(sk5)
        | totalorderedP(cons(sk5,cons(sk5,skaf71(X9))))
        | ~ ssList(cons(sk5,skaf71(X9)))
        | nil = cons(sk5,skaf71(X9))
        | ~ totalorderedP(cons(sk5,skaf71(X9))) )
    | ~ spl0_17 ),
    inference(superposition,[],[f365,f1242]) ).

fof(f1242,plain,
    ( ! [X2] : sk5 = hd(cons(sk5,skaf71(X2)))
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f24]) ).

fof(f6033,plain,
    ( spl0_537
    | ~ spl0_534
    | spl0_541
    | ~ spl0_538
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f5991,f3266,f6015,f6031,f5999,f6010]) ).

fof(f6010,plain,
    ( spl0_537
  <=> nil = cons(sk5,cons(sk5,skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).

fof(f5999,plain,
    ( spl0_534
  <=> ssList(cons(sk5,cons(sk5,skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).

fof(f6031,plain,
    ( spl0_541
  <=> ! [X0] :
        ( totalorderedP(cons(X0,cons(sk5,cons(sk5,skaf68(sk3)))))
        | ~ leq(X0,sk5)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).

fof(f6015,plain,
    ( spl0_538
  <=> totalorderedP(cons(sk5,cons(sk5,skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).

fof(f3266,plain,
    ( spl0_301
  <=> sk5 = hd(cons(sk5,cons(sk5,skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f5991,plain,
    ( ! [X0] :
        ( ~ totalorderedP(cons(sk5,cons(sk5,skaf68(sk3))))
        | totalorderedP(cons(X0,cons(sk5,cons(sk5,skaf68(sk3)))))
        | ~ ssItem(X0)
        | ~ leq(X0,sk5)
        | ~ ssList(cons(sk5,cons(sk5,skaf68(sk3))))
        | nil = cons(sk5,cons(sk5,skaf68(sk3))) )
    | ~ spl0_301 ),
    inference(superposition,[],[f159,f3268]) ).

fof(f3268,plain,
    ( sk5 = hd(cons(sk5,cons(sk5,skaf68(sk3))))
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f3266]) ).

fof(f6029,plain,
    ( spl0_537
    | spl0_540
    | ~ spl0_534
    | ~ spl0_301
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f6028,f5709,f3266,f5999,f6025,f6010]) ).

fof(f6025,plain,
    ( spl0_540
  <=> ! [X3] :
        ( cons(sk5,cons(sk5,skaf68(sk3))) = X3
        | nil = X3
        | sk5 != hd(X3)
        | tl(X3) != cons(sk5,skaf68(sk3))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).

fof(f5709,plain,
    ( spl0_501
  <=> tl(cons(sk5,cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).

fof(f6028,plain,
    ( ! [X2] :
        ( ~ ssList(cons(sk5,cons(sk5,skaf68(sk3))))
        | nil = X2
        | tl(X2) != cons(sk5,skaf68(sk3))
        | cons(sk5,cons(sk5,skaf68(sk3))) = X2
        | ~ ssList(X2)
        | nil = cons(sk5,cons(sk5,skaf68(sk3)))
        | sk5 != hd(X2) )
    | ~ spl0_301
    | ~ spl0_501 ),
    inference(forward_demodulation,[],[f5993,f5711]) ).

fof(f5711,plain,
    ( tl(cons(sk5,cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3))
    | ~ spl0_501 ),
    inference(avatar_component_clause,[],[f5709]) ).

fof(f5993,plain,
    ( ! [X2] :
        ( nil = X2
        | cons(sk5,cons(sk5,skaf68(sk3))) = X2
        | ~ ssList(cons(sk5,cons(sk5,skaf68(sk3))))
        | nil = cons(sk5,cons(sk5,skaf68(sk3)))
        | ~ ssList(X2)
        | sk5 != hd(X2)
        | tl(cons(sk5,cons(sk5,skaf68(sk3)))) != tl(X2) )
    | ~ spl0_301 ),
    inference(superposition,[],[f177,f3268]) ).

fof(f6027,plain,
    ( spl0_537
    | ~ spl0_534
    | spl0_540
    | ~ spl0_301
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f6023,f5709,f3266,f6025,f5999,f6010]) ).

fof(f6023,plain,
    ( ! [X3] :
        ( cons(sk5,cons(sk5,skaf68(sk3))) = X3
        | ~ ssList(X3)
        | tl(X3) != cons(sk5,skaf68(sk3))
        | sk5 != hd(X3)
        | nil = X3
        | ~ ssList(cons(sk5,cons(sk5,skaf68(sk3))))
        | nil = cons(sk5,cons(sk5,skaf68(sk3))) )
    | ~ spl0_301
    | ~ spl0_501 ),
    inference(forward_demodulation,[],[f5994,f5711]) ).

fof(f5994,plain,
    ( ! [X3] :
        ( tl(X3) != tl(cons(sk5,cons(sk5,skaf68(sk3))))
        | ~ ssList(cons(sk5,cons(sk5,skaf68(sk3))))
        | nil = X3
        | nil = cons(sk5,cons(sk5,skaf68(sk3)))
        | ~ ssList(X3)
        | sk5 != hd(X3)
        | cons(sk5,cons(sk5,skaf68(sk3))) = X3 )
    | ~ spl0_301 ),
    inference(superposition,[],[f177,f3268]) ).

fof(f6022,plain,
    ( ~ spl0_538
    | ~ spl0_534
    | spl0_539
    | ~ spl0_17
    | spl0_537
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f5995,f3266,f6010,f308,f6019,f5999,f6015]) ).

fof(f6019,plain,
    ( spl0_539
  <=> totalorderedP(cons(sk5,cons(sk5,cons(sk5,skaf68(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).

fof(f5995,plain,
    ( nil = cons(sk5,cons(sk5,skaf68(sk3)))
    | ~ ssItem(sk5)
    | totalorderedP(cons(sk5,cons(sk5,cons(sk5,skaf68(sk3)))))
    | ~ ssList(cons(sk5,cons(sk5,skaf68(sk3))))
    | ~ totalorderedP(cons(sk5,cons(sk5,skaf68(sk3))))
    | ~ spl0_301 ),
    inference(superposition,[],[f365,f3268]) ).

fof(f6013,plain,
    ( ~ spl0_534
    | spl0_535
    | ~ spl0_536
    | spl0_537
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f5992,f3266,f6010,f6006,f6003,f5999]) ).

fof(f6003,plain,
    ( spl0_535
  <=> ! [X1] :
        ( strictorderedP(cons(X1,cons(sk5,cons(sk5,skaf68(sk3)))))
        | ~ lt(X1,sk5)
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).

fof(f6006,plain,
    ( spl0_536
  <=> strictorderedP(cons(sk5,cons(sk5,skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).

fof(f5992,plain,
    ( ! [X1] :
        ( nil = cons(sk5,cons(sk5,skaf68(sk3)))
        | ~ strictorderedP(cons(sk5,cons(sk5,skaf68(sk3))))
        | strictorderedP(cons(X1,cons(sk5,cons(sk5,skaf68(sk3)))))
        | ~ ssItem(X1)
        | ~ lt(X1,sk5)
        | ~ ssList(cons(sk5,cons(sk5,skaf68(sk3)))) )
    | ~ spl0_301 ),
    inference(superposition,[],[f160,f3268]) ).

fof(f5989,plain,
    ( ~ spl0_293
    | spl0_533
    | ~ spl0_159
    | ~ spl0_525 ),
    inference(avatar_split_clause,[],[f5973,f5945,f1451,f5987,f3164]) ).

fof(f5987,plain,
    ( spl0_533
  <=> ! [X1] :
        ( ~ ssList(X1)
        | ~ ssList(app(cons(sk5,skaf67(sk3)),X1))
        | app(cons(sk5,skaf67(sk3)),X1) = app(skaf42(app(cons(sk5,skaf67(sk3)),X1),sk5),cons(sk5,skaf43(sk5,app(cons(sk5,skaf67(sk3)),X1)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).

fof(f5945,plain,
    ( spl0_525
  <=> memberP(cons(sk5,skaf67(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).

fof(f5973,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | app(cons(sk5,skaf67(sk3)),X1) = app(skaf42(app(cons(sk5,skaf67(sk3)),X1),sk5),cons(sk5,skaf43(sk5,app(cons(sk5,skaf67(sk3)),X1))))
        | ~ ssList(app(cons(sk5,skaf67(sk3)),X1))
        | ~ ssList(cons(sk5,skaf67(sk3))) )
    | ~ spl0_159
    | ~ spl0_525 ),
    inference(resolution,[],[f5947,f1452]) ).

fof(f5947,plain,
    ( memberP(cons(sk5,skaf67(sk3)),sk5)
    | ~ spl0_525 ),
    inference(avatar_component_clause,[],[f5945]) ).

fof(f5985,plain,
    ( spl0_532
    | ~ spl0_293
    | ~ spl0_161
    | ~ spl0_525 ),
    inference(avatar_split_clause,[],[f5972,f5945,f1459,f3164,f5983]) ).

fof(f5983,plain,
    ( spl0_532
  <=> ! [X0] :
        ( ~ ssList(app(X0,cons(sk5,skaf67(sk3))))
        | app(X0,cons(sk5,skaf67(sk3))) = app(skaf42(app(X0,cons(sk5,skaf67(sk3))),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,skaf67(sk3))))))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).

fof(f5972,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sk5,skaf67(sk3)))
        | ~ ssList(app(X0,cons(sk5,skaf67(sk3))))
        | ~ ssList(X0)
        | app(X0,cons(sk5,skaf67(sk3))) = app(skaf42(app(X0,cons(sk5,skaf67(sk3))),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,skaf67(sk3)))))) )
    | ~ spl0_161
    | ~ spl0_525 ),
    inference(resolution,[],[f5947,f1460]) ).

fof(f5981,plain,
    ( ~ spl0_293
    | spl0_531
    | ~ spl0_17
    | ~ spl0_525 ),
    inference(avatar_split_clause,[],[f5974,f5945,f308,f5978,f3164]) ).

fof(f5978,plain,
    ( spl0_531
  <=> app(skaf42(cons(sk5,skaf67(sk3)),sk5),cons(sk5,skaf43(sk5,cons(sk5,skaf67(sk3))))) = cons(sk5,skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).

fof(f5974,plain,
    ( app(skaf42(cons(sk5,skaf67(sk3)),sk5),cons(sk5,skaf43(sk5,cons(sk5,skaf67(sk3))))) = cons(sk5,skaf67(sk3))
    | ~ ssList(cons(sk5,skaf67(sk3)))
    | ~ spl0_17
    | ~ spl0_525 ),
    inference(resolution,[],[f5947,f333]) ).

fof(f5971,plain,
    ( ~ spl0_143
    | spl0_530
    | ~ spl0_293
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5930,f3159,f3164,f5969,f1291]) ).

fof(f5969,plain,
    ( spl0_530
  <=> ! [X5] :
        ( memberP(sk3,X5)
        | ~ memberP(cons(sk5,skaf67(sk3)),X5)
        | ~ ssItem(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).

fof(f3159,plain,
    ( spl0_292
  <=> sk3 = app(skaf66(sk3),cons(sk5,skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f5930,plain,
    ( ! [X5] :
        ( ~ ssList(cons(sk5,skaf67(sk3)))
        | memberP(sk3,X5)
        | ~ ssItem(X5)
        | ~ memberP(cons(sk5,skaf67(sk3)),X5)
        | ~ ssList(skaf66(sk3)) )
    | ~ spl0_292 ),
    inference(superposition,[],[f141,f3161]) ).

fof(f3161,plain,
    ( sk3 = app(skaf66(sk3),cons(sk5,skaf67(sk3)))
    | ~ spl0_292 ),
    inference(avatar_component_clause,[],[f3159]) ).

fof(f5967,plain,
    ( ~ spl0_143
    | spl0_529
    | ~ spl0_293
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5931,f3159,f3164,f5964,f1291]) ).

fof(f5964,plain,
    ( spl0_529
  <=> ! [X7] :
        ( sk3 != app(skaf66(sk3),X7)
        | cons(sk5,skaf67(sk3)) = X7
        | ~ ssList(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).

fof(f5931,plain,
    ( ! [X6] :
        ( ~ ssList(cons(sk5,skaf67(sk3)))
        | ~ ssList(X6)
        | cons(sk5,skaf67(sk3)) = X6
        | sk3 != app(skaf66(sk3),X6)
        | ~ ssList(skaf66(sk3)) )
    | ~ spl0_292 ),
    inference(superposition,[],[f150,f3161]) ).

fof(f5966,plain,
    ( ~ spl0_143
    | ~ spl0_293
    | spl0_529
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5932,f3159,f5964,f3164,f1291]) ).

fof(f5932,plain,
    ( ! [X7] :
        ( sk3 != app(skaf66(sk3),X7)
        | ~ ssList(cons(sk5,skaf67(sk3)))
        | ~ ssList(X7)
        | ~ ssList(skaf66(sk3))
        | cons(sk5,skaf67(sk3)) = X7 )
    | ~ spl0_292 ),
    inference(superposition,[],[f150,f3161]) ).

fof(f5962,plain,
    ( ~ spl0_293
    | ~ spl0_143
    | spl0_528
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5936,f3159,f5960,f1291,f3164]) ).

fof(f5960,plain,
    ( spl0_528
  <=> ! [X10] :
        ( memberP(skaf66(sk3),skaf65(X10))
        | memberP(cons(sk5,skaf67(sk3)),skaf65(X10))
        | ~ memberP(sk3,skaf65(X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).

fof(f5936,plain,
    ( ! [X10] :
        ( memberP(skaf66(sk3),skaf65(X10))
        | ~ ssList(skaf66(sk3))
        | ~ memberP(sk3,skaf65(X10))
        | ~ ssList(cons(sk5,skaf67(sk3)))
        | memberP(cons(sk5,skaf67(sk3)),skaf65(X10)) )
    | ~ spl0_292 ),
    inference(superposition,[],[f357,f3161]) ).

fof(f5957,plain,
    ( ~ spl0_293
    | ~ spl0_143
    | spl0_527
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5938,f3159,f5955,f1291,f3164]) ).

fof(f5955,plain,
    ( spl0_527
  <=> ! [X12] :
        ( ~ memberP(sk3,hd(X12))
        | nil = X12
        | memberP(cons(sk5,skaf67(sk3)),hd(X12))
        | memberP(skaf66(sk3),hd(X12))
        | ~ ssList(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).

fof(f5938,plain,
    ( ! [X12] :
        ( ~ memberP(sk3,hd(X12))
        | ~ ssList(X12)
        | memberP(skaf66(sk3),hd(X12))
        | ~ ssList(skaf66(sk3))
        | memberP(cons(sk5,skaf67(sk3)),hd(X12))
        | nil = X12
        | ~ ssList(cons(sk5,skaf67(sk3))) )
    | ~ spl0_292 ),
    inference(superposition,[],[f527,f3161]) ).

fof(f5953,plain,
    ( ~ spl0_143
    | spl0_524
    | ~ spl0_293
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5934,f3159,f3164,f5941,f1291]) ).

fof(f5941,plain,
    ( spl0_524
  <=> ! [X8] :
        ( skaf66(sk3) = X8
        | ~ ssList(X8)
        | sk3 != app(X8,cons(sk5,skaf67(sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).

fof(f5934,plain,
    ( ! [X9] :
        ( ~ ssList(cons(sk5,skaf67(sk3)))
        | sk3 != app(X9,cons(sk5,skaf67(sk3)))
        | ~ ssList(X9)
        | ~ ssList(skaf66(sk3))
        | skaf66(sk3) = X9 )
    | ~ spl0_292 ),
    inference(superposition,[],[f151,f3161]) ).

fof(f5952,plain,
    ( spl0_526
    | ~ spl0_293
    | ~ spl0_143
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5937,f3159,f1291,f3164,f5950]) ).

fof(f5950,plain,
    ( spl0_526
  <=> ! [X11] :
        ( memberP(skaf66(sk3),skaf64(X11))
        | memberP(cons(sk5,skaf67(sk3)),skaf64(X11))
        | ~ memberP(sk3,skaf64(X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).

fof(f5937,plain,
    ( ! [X11] :
        ( ~ ssList(skaf66(sk3))
        | ~ ssList(cons(sk5,skaf67(sk3)))
        | memberP(skaf66(sk3),skaf64(X11))
        | ~ memberP(sk3,skaf64(X11))
        | memberP(cons(sk5,skaf67(sk3)),skaf64(X11)) )
    | ~ spl0_292 ),
    inference(superposition,[],[f359,f3161]) ).

fof(f5948,plain,
    ( spl0_525
    | spl0_334
    | ~ spl0_143
    | ~ spl0_36
    | ~ spl0_293
    | ~ spl0_17
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5935,f3159,f308,f3164,f440,f1291,f3612,f5945]) ).

fof(f3612,plain,
    ( spl0_334
  <=> memberP(skaf66(sk3),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f5935,plain,
    ( ~ ssList(cons(sk5,skaf67(sk3)))
    | ~ memberP(sk3,sk5)
    | ~ ssList(skaf66(sk3))
    | memberP(skaf66(sk3),sk5)
    | memberP(cons(sk5,skaf67(sk3)),sk5)
    | ~ spl0_17
    | ~ spl0_292 ),
    inference(superposition,[],[f326,f3161]) ).

fof(f5943,plain,
    ( ~ spl0_143
    | ~ spl0_293
    | spl0_524
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5933,f3159,f5941,f3164,f1291]) ).

fof(f5933,plain,
    ( ! [X8] :
        ( skaf66(sk3) = X8
        | sk3 != app(X8,cons(sk5,skaf67(sk3)))
        | ~ ssList(cons(sk5,skaf67(sk3)))
        | ~ ssList(skaf66(sk3))
        | ~ ssList(X8) )
    | ~ spl0_292 ),
    inference(superposition,[],[f151,f3161]) ).

fof(f5918,plain,
    ( spl0_523
    | ~ spl0_17
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f5912,f308,f308,f5916]) ).

fof(f5916,plain,
    ( spl0_523
  <=> ! [X9] :
        ( ~ ssList(cons(sk5,skaf72(X9)))
        | totalorderedP(cons(sk5,cons(sk5,skaf72(X9))))
        | nil = cons(sk5,skaf72(X9))
        | ~ totalorderedP(cons(sk5,skaf72(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).

fof(f5912,plain,
    ( ! [X9] :
        ( ~ ssItem(sk5)
        | ~ ssList(cons(sk5,skaf72(X9)))
        | ~ totalorderedP(cons(sk5,skaf72(X9)))
        | nil = cons(sk5,skaf72(X9))
        | totalorderedP(cons(sk5,cons(sk5,skaf72(X9)))) )
    | ~ spl0_17 ),
    inference(superposition,[],[f365,f1241]) ).

fof(f1241,plain,
    ( ! [X1] : sk5 = hd(cons(sk5,skaf72(X1)))
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f23]) ).

fof(f5905,plain,
    ( ~ spl0_5
    | ~ spl0_230
    | spl0_522
    | ~ spl0_17
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f5904,f1695,f308,f5900,f2340,f249]) ).

fof(f5900,plain,
    ( spl0_522
  <=> ! [X3] :
        ( ~ ssList(X3)
        | cons(sk5,X3) != cons(sk5,nil)
        | nil = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).

fof(f1695,plain,
    ( spl0_173
  <=> app(cons(sk5,nil),nil) = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f5904,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | cons(sk5,nil) != cons(sk5,X2)
        | nil = X2
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(nil) )
    | ~ spl0_17
    | ~ spl0_173 ),
    inference(forward_subsumption_demodulation,[],[f5889,f598]) ).

fof(f5889,plain,
    ( ! [X2] :
        ( cons(sk5,nil) != app(cons(sk5,nil),X2)
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(X2)
        | ~ ssList(nil)
        | nil = X2 )
    | ~ spl0_173 ),
    inference(superposition,[],[f150,f1697]) ).

fof(f1697,plain,
    ( app(cons(sk5,nil),nil) = cons(sk5,nil)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1695]) ).

fof(f5902,plain,
    ( ~ spl0_230
    | ~ spl0_5
    | spl0_522
    | ~ spl0_17
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f5898,f1695,f308,f5900,f249,f2340]) ).

fof(f5898,plain,
    ( ! [X3] :
        ( ~ ssList(X3)
        | ~ ssList(nil)
        | nil = X3
        | cons(sk5,X3) != cons(sk5,nil)
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_17
    | ~ spl0_173 ),
    inference(forward_subsumption_demodulation,[],[f5890,f598]) ).

fof(f5890,plain,
    ( ! [X3] :
        ( ~ ssList(nil)
        | nil = X3
        | ~ ssList(X3)
        | ~ ssList(cons(sk5,nil))
        | cons(sk5,nil) != app(cons(sk5,nil),X3) )
    | ~ spl0_173 ),
    inference(superposition,[],[f150,f1697]) ).

fof(f5881,plain,
    ( spl0_521
    | ~ spl0_17
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f5875,f308,f308,f5879]) ).

fof(f5879,plain,
    ( spl0_521
  <=> ! [X9] :
        ( totalorderedP(cons(sk5,cons(sk5,skaf73(X9))))
        | ~ totalorderedP(cons(sk5,skaf73(X9)))
        | nil = cons(sk5,skaf73(X9))
        | ~ ssList(cons(sk5,skaf73(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).

fof(f5875,plain,
    ( ! [X9] :
        ( ~ ssItem(sk5)
        | totalorderedP(cons(sk5,cons(sk5,skaf73(X9))))
        | ~ ssList(cons(sk5,skaf73(X9)))
        | nil = cons(sk5,skaf73(X9))
        | ~ totalorderedP(cons(sk5,skaf73(X9))) )
    | ~ spl0_17 ),
    inference(superposition,[],[f365,f1240]) ).

fof(f1240,plain,
    ( ! [X0] : sk5 = hd(cons(sk5,skaf73(X0)))
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f22]) ).

fof(f5869,plain,
    ( ~ spl0_7
    | spl0_520
    | ~ spl0_230
    | ~ spl0_17
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5868,f1685,f308,f2340,f5865,f260]) ).

fof(f5865,plain,
    ( spl0_520
  <=> ! [X3] :
        ( sk3 = X3
        | cons(sk5,X3) != cons(sk5,sk3)
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).

fof(f5868,plain,
    ( ! [X2] :
        ( ~ ssList(cons(sk5,nil))
        | cons(sk5,X2) != cons(sk5,sk3)
        | sk3 = X2
        | ~ ssList(sk3)
        | ~ ssList(X2) )
    | ~ spl0_17
    | ~ spl0_171 ),
    inference(forward_subsumption_demodulation,[],[f5829,f598]) ).

fof(f5829,plain,
    ( ! [X2] :
        ( cons(sk5,sk3) != app(cons(sk5,nil),X2)
        | ~ ssList(sk3)
        | sk3 = X2
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(X2) )
    | ~ spl0_171 ),
    inference(superposition,[],[f150,f1687]) ).

fof(f5867,plain,
    ( ~ spl0_7
    | ~ spl0_230
    | spl0_520
    | ~ spl0_17
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5863,f1685,f308,f5865,f2340,f260]) ).

fof(f5863,plain,
    ( ! [X3] :
        ( sk3 = X3
        | ~ ssList(X3)
        | ~ ssList(cons(sk5,nil))
        | cons(sk5,X3) != cons(sk5,sk3)
        | ~ ssList(sk3) )
    | ~ spl0_17
    | ~ spl0_171 ),
    inference(forward_subsumption_demodulation,[],[f5830,f598]) ).

fof(f5830,plain,
    ( ! [X3] :
        ( sk3 = X3
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(X3)
        | app(cons(sk5,nil),X3) != cons(sk5,sk3)
        | ~ ssList(sk3) )
    | ~ spl0_171 ),
    inference(superposition,[],[f150,f1687]) ).

fof(f5862,plain,
    ( ~ spl0_230
    | ~ spl0_7
    | spl0_519
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5836,f1685,f5860,f260,f2340]) ).

fof(f5860,plain,
    ( spl0_519
  <=> ! [X8] :
        ( nil = X8
        | memberP(sk3,hd(X8))
        | ~ memberP(cons(sk5,sk3),hd(X8))
        | ~ ssList(X8)
        | memberP(cons(sk5,nil),hd(X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).

fof(f5836,plain,
    ( ! [X8] :
        ( nil = X8
        | ~ ssList(sk3)
        | memberP(cons(sk5,nil),hd(X8))
        | ~ ssList(X8)
        | ~ memberP(cons(sk5,sk3),hd(X8))
        | memberP(sk3,hd(X8))
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_171 ),
    inference(superposition,[],[f527,f1687]) ).

fof(f5858,plain,
    ( ~ spl0_7
    | spl0_518
    | ~ spl0_230
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5827,f1685,f2340,f5856,f260]) ).

fof(f5856,plain,
    ( spl0_518
  <=> ! [X0] :
        ( memberP(cons(sk5,sk3),X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(sk5,nil),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).

fof(f5827,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sk5,nil))
        | memberP(cons(sk5,sk3),X0)
        | ~ memberP(cons(sk5,nil),X0)
        | ~ ssList(sk3)
        | ~ ssItem(X0) )
    | ~ spl0_171 ),
    inference(superposition,[],[f140,f1687]) ).

fof(f5854,plain,
    ( ~ spl0_7
    | spl0_517
    | ~ spl0_230
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5828,f1685,f2340,f5852,f260]) ).

fof(f5852,plain,
    ( spl0_517
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | ~ memberP(sk3,X1)
        | memberP(cons(sk5,sk3),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).

fof(f5828,plain,
    ( ! [X1] :
        ( ~ ssList(cons(sk5,nil))
        | ~ ssItem(X1)
        | memberP(cons(sk5,sk3),X1)
        | ~ memberP(sk3,X1)
        | ~ ssList(sk3) )
    | ~ spl0_171 ),
    inference(superposition,[],[f141,f1687]) ).

fof(f5850,plain,
    ( ~ spl0_230
    | ~ spl0_7
    | spl0_516
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5834,f1685,f5848,f260,f2340]) ).

fof(f5848,plain,
    ( spl0_516
  <=> ! [X6] :
        ( memberP(sk3,skaf65(X6))
        | ~ memberP(cons(sk5,sk3),skaf65(X6))
        | memberP(cons(sk5,nil),skaf65(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).

fof(f5834,plain,
    ( ! [X6] :
        ( memberP(sk3,skaf65(X6))
        | memberP(cons(sk5,nil),skaf65(X6))
        | ~ ssList(sk3)
        | ~ ssList(cons(sk5,nil))
        | ~ memberP(cons(sk5,sk3),skaf65(X6)) )
    | ~ spl0_171 ),
    inference(superposition,[],[f357,f1687]) ).

fof(f5846,plain,
    ( ~ spl0_7
    | spl0_515
    | ~ spl0_230
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5831,f1685,f2340,f5843,f260]) ).

fof(f5843,plain,
    ( spl0_515
  <=> ! [X5] :
        ( ~ ssList(X5)
        | cons(sk5,nil) = X5
        | app(X5,sk3) != cons(sk5,sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).

fof(f5831,plain,
    ( ! [X4] :
        ( ~ ssList(cons(sk5,nil))
        | cons(sk5,nil) = X4
        | app(X4,sk3) != cons(sk5,sk3)
        | ~ ssList(X4)
        | ~ ssList(sk3) )
    | ~ spl0_171 ),
    inference(superposition,[],[f151,f1687]) ).

fof(f5845,plain,
    ( ~ spl0_7
    | ~ spl0_230
    | spl0_515
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5832,f1685,f5843,f2340,f260]) ).

fof(f5832,plain,
    ( ! [X5] :
        ( ~ ssList(X5)
        | app(X5,sk3) != cons(sk5,sk3)
        | cons(sk5,nil) = X5
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(sk3) )
    | ~ spl0_171 ),
    inference(superposition,[],[f151,f1687]) ).

fof(f5841,plain,
    ( ~ spl0_230
    | ~ spl0_7
    | spl0_514
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5835,f1685,f5839,f260,f2340]) ).

fof(f5839,plain,
    ( spl0_514
  <=> ! [X7] :
        ( memberP(sk3,skaf64(X7))
        | memberP(cons(sk5,nil),skaf64(X7))
        | ~ memberP(cons(sk5,sk3),skaf64(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).

fof(f5835,plain,
    ( ! [X7] :
        ( memberP(sk3,skaf64(X7))
        | ~ memberP(cons(sk5,sk3),skaf64(X7))
        | memberP(cons(sk5,nil),skaf64(X7))
        | ~ ssList(sk3)
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_171 ),
    inference(superposition,[],[f359,f1687]) ).

fof(f5799,plain,
    ( spl0_357
    | spl0_358
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f5046,f713,f4009,f4005]) ).

fof(f4005,plain,
    ( spl0_357
  <=> cons(skaf65(nil),skaf68(nil)) = app(app(skaf71(cons(skaf65(nil),skaf68(nil))),cons(skaf69(cons(skaf65(nil),skaf68(nil))),skaf72(cons(skaf65(nil),skaf68(nil))))),cons(skaf70(cons(skaf65(nil),skaf68(nil))),skaf73(cons(skaf65(nil),skaf68(nil))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f4009,plain,
    ( spl0_358
  <=> strictorderedP(cons(skaf65(nil),skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f5046,plain,
    ( strictorderedP(cons(skaf65(nil),skaf68(nil)))
    | cons(skaf65(nil),skaf68(nil)) = app(app(skaf71(cons(skaf65(nil),skaf68(nil))),cons(skaf69(cons(skaf65(nil),skaf68(nil))),skaf72(cons(skaf65(nil),skaf68(nil))))),cons(skaf70(cons(skaf65(nil),skaf68(nil))),skaf73(cons(skaf65(nil),skaf68(nil)))))
    | ~ spl0_67 ),
    inference(resolution,[],[f714,f163]) ).

fof(f5798,plain,
    ( spl0_435
    | ~ spl0_92
    | spl0_509 ),
    inference(avatar_split_clause,[],[f5797,f5776,f968,f4752]) ).

fof(f4752,plain,
    ( spl0_435
  <=> nil = skaf68(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f968,plain,
    ( spl0_92
  <=> ssList(skaf68(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f5776,plain,
    ( spl0_509
  <=> ssItem(hd(skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).

fof(f5797,plain,
    ( ~ ssList(skaf68(nil))
    | nil = skaf68(nil)
    | spl0_509 ),
    inference(resolution,[],[f5778,f76]) ).

fof(f5778,plain,
    ( ~ ssItem(hd(skaf68(nil)))
    | spl0_509 ),
    inference(avatar_component_clause,[],[f5776]) ).

fof(f5796,plain,
    ( ~ spl0_509
    | spl0_513
    | ~ spl0_91
    | ~ spl0_437 ),
    inference(avatar_split_clause,[],[f5774,f4761,f964,f5793,f5776]) ).

fof(f5793,plain,
    ( spl0_513
  <=> leq(skaf65(nil),hd(skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).

fof(f964,plain,
    ( spl0_91
  <=> ssItem(skaf65(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f4761,plain,
    ( spl0_437
  <=> lt(skaf65(nil),hd(skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f5774,plain,
    ( ~ ssItem(skaf65(nil))
    | leq(skaf65(nil),hd(skaf68(nil)))
    | ~ ssItem(hd(skaf68(nil)))
    | ~ spl0_437 ),
    inference(resolution,[],[f4763,f103]) ).

fof(f103,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | leq(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f4763,plain,
    ( lt(skaf65(nil),hd(skaf68(nil)))
    | ~ spl0_437 ),
    inference(avatar_component_clause,[],[f4761]) ).

fof(f5791,plain,
    ( ~ spl0_509
    | ~ spl0_512
    | ~ spl0_91
    | ~ spl0_437 ),
    inference(avatar_split_clause,[],[f5773,f4761,f964,f5788,f5776]) ).

fof(f5788,plain,
    ( spl0_512
  <=> lt(hd(skaf68(nil)),skaf65(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).

fof(f5773,plain,
    ( ~ ssItem(skaf65(nil))
    | ~ lt(hd(skaf68(nil)),skaf65(nil))
    | ~ ssItem(hd(skaf68(nil)))
    | ~ spl0_437 ),
    inference(resolution,[],[f4763,f114]) ).

fof(f114,axiom,
    ! [X0,X1] :
      ( ~ lt(X1,X0)
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f5786,plain,
    ( ~ spl0_91
    | ~ spl0_509
    | spl0_511
    | ~ spl0_437 ),
    inference(avatar_split_clause,[],[f5772,f4761,f5784,f5776,f964]) ).

fof(f5784,plain,
    ( spl0_511
  <=> ! [X1] :
        ( lt(X1,hd(skaf68(nil)))
        | ~ ssItem(X1)
        | ~ leq(X1,skaf65(nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).

fof(f5772,plain,
    ( ! [X1] :
        ( lt(X1,hd(skaf68(nil)))
        | ~ leq(X1,skaf65(nil))
        | ~ ssItem(X1)
        | ~ ssItem(hd(skaf68(nil)))
        | ~ ssItem(skaf65(nil)) )
    | ~ spl0_437 ),
    inference(resolution,[],[f4763,f147]) ).

fof(f147,axiom,
    ! [X2,X0,X1] :
      ( ~ lt(X1,X2)
      | ~ ssItem(X2)
      | ~ leq(X0,X1)
      | ~ ssItem(X0)
      | lt(X0,X2)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f5782,plain,
    ( ~ spl0_509
    | spl0_510
    | ~ spl0_91
    | ~ spl0_437 ),
    inference(avatar_split_clause,[],[f5771,f4761,f964,f5780,f5776]) ).

fof(f5780,plain,
    ( spl0_510
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | lt(skaf65(nil),X0)
        | ~ lt(hd(skaf68(nil)),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).

fof(f5771,plain,
    ( ! [X0] :
        ( ~ ssItem(skaf65(nil))
        | ~ ssItem(X0)
        | ~ ssItem(hd(skaf68(nil)))
        | ~ lt(hd(skaf68(nil)),X0)
        | lt(skaf65(nil),X0) )
    | ~ spl0_437 ),
    inference(resolution,[],[f4763,f155]) ).

fof(f155,axiom,
    ! [X2,X0,X1] :
      ( ~ lt(X0,X1)
      | ~ lt(X1,X2)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | lt(X0,X2)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f5753,plain,
    ( spl0_508
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f5670,f1376,f308,f5750]) ).

fof(f5750,plain,
    ( spl0_508
  <=> cons(skaf64(nil),skaf67(nil)) = tl(cons(sk5,cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).

fof(f5670,plain,
    ( cons(skaf64(nil),skaf67(nil)) = tl(cons(sk5,cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(resolution,[],[f2318,f1377]) ).

fof(f5747,plain,
    ( spl0_507
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f5657,f308,f249,f5744]) ).

fof(f5744,plain,
    ( spl0_507
  <=> nil = tl(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).

fof(f5657,plain,
    ( nil = tl(cons(sk5,nil))
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f2318,f251]) ).

fof(f5742,plain,
    ( spl0_506
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f5681,f308,f260,f5739]) ).

fof(f5739,plain,
    ( spl0_506
  <=> sk3 = tl(cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).

fof(f5681,plain,
    ( sk3 = tl(cons(sk5,sk3))
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(resolution,[],[f2318,f262]) ).

fof(f5737,plain,
    ( spl0_505
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f5667,f713,f308,f5734]) ).

fof(f5667,plain,
    ( cons(skaf65(nil),skaf68(nil)) = tl(cons(sk5,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(resolution,[],[f2318,f714]) ).

fof(f5732,plain,
    ( spl0_504
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f5671,f2340,f308,f5729]) ).

fof(f5729,plain,
    ( spl0_504
  <=> cons(sk5,nil) = tl(cons(sk5,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).

fof(f5671,plain,
    ( cons(sk5,nil) = tl(cons(sk5,cons(sk5,nil)))
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(resolution,[],[f2318,f2341]) ).

fof(f5727,plain,
    ( spl0_503
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f5674,f2170,f308,f5724]) ).

fof(f5724,plain,
    ( spl0_503
  <=> cons(sk5,sk3) = tl(cons(sk5,cons(sk5,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).

fof(f5674,plain,
    ( cons(sk5,sk3) = tl(cons(sk5,cons(sk5,sk3)))
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(resolution,[],[f2318,f2171]) ).

fof(f5719,plain,
    ( spl0_502
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f5677,f678,f308,f5716]) ).

fof(f5716,plain,
    ( spl0_502
  <=> tl(cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).

fof(f5677,plain,
    ( tl(cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(resolution,[],[f2318,f679]) ).

fof(f5712,plain,
    ( spl0_501
    | ~ spl0_17
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f5672,f3236,f308,f5709]) ).

fof(f5672,plain,
    ( tl(cons(sk5,cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3))
    | ~ spl0_17
    | ~ spl0_297 ),
    inference(resolution,[],[f2318,f3237]) ).

fof(f5707,plain,
    ( spl0_500
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f5673,f3164,f308,f5704]) ).

fof(f5704,plain,
    ( spl0_500
  <=> tl(cons(sk5,cons(sk5,skaf67(sk3)))) = cons(sk5,skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).

fof(f5673,plain,
    ( tl(cons(sk5,cons(sk5,skaf67(sk3)))) = cons(sk5,skaf67(sk3))
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(resolution,[],[f2318,f3166]) ).

fof(f5701,plain,
    ( spl0_499
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5676,f448,f308,f5698]) ).

fof(f5698,plain,
    ( spl0_499
  <=> app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = tl(cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).

fof(f5676,plain,
    ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = tl(cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(resolution,[],[f2318,f449]) ).

fof(f5696,plain,
    ( spl0_498
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f5668,f4848,f308,f5693]) ).

fof(f5668,plain,
    ( cons(skaf65(nil),nil) = tl(cons(sk5,cons(skaf65(nil),nil)))
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(resolution,[],[f2318,f4850]) ).

fof(f5691,plain,
    ( spl0_497
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f5669,f1287,f308,f5688]) ).

fof(f5688,plain,
    ( spl0_497
  <=> tl(cons(sk5,cons(skaf64(sk3),skaf67(sk3)))) = cons(skaf64(sk3),skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).

fof(f5669,plain,
    ( tl(cons(sk5,cons(skaf64(sk3),skaf67(sk3)))) = cons(skaf64(sk3),skaf67(sk3))
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(resolution,[],[f2318,f1288]) ).

fof(f5686,plain,
    ( spl0_496
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5678,f4728,f308,f5683]) ).

fof(f5683,plain,
    ( spl0_496
  <=> app(sk3,sk3) = tl(cons(sk5,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).

fof(f5678,plain,
    ( app(sk3,sk3) = tl(cons(sk5,app(sk3,sk3)))
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(resolution,[],[f2318,f4729]) ).

fof(f5656,plain,
    ( spl0_495
    | ~ spl0_17
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f5650,f2016,f639,f308,f5654]) ).

fof(f5654,plain,
    ( spl0_495
  <=> ! [X14,X15] :
        ( nil = app(sk3,skaf42(X14,X15))
        | ~ totalorderedP(app(sk3,skaf42(X14,X15)))
        | ~ ssList(app(sk3,skaf42(X14,X15)))
        | totalorderedP(cons(sk5,app(sk3,skaf42(X14,X15)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).

fof(f5650,plain,
    ( ! [X14,X15] :
        ( ~ ssItem(sk5)
        | nil = app(sk3,skaf42(X14,X15))
        | totalorderedP(cons(sk5,app(sk3,skaf42(X14,X15))))
        | ~ ssList(app(sk3,skaf42(X14,X15)))
        | ~ totalorderedP(app(sk3,skaf42(X14,X15))) )
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(superposition,[],[f365,f2036]) ).

fof(f2036,plain,
    ( ! [X8,X9] : sk5 = hd(app(sk3,skaf42(X8,X9)))
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1303,f2018]) ).

fof(f1303,plain,
    ( ! [X8,X9] : hd(app(sk3,skaf42(X8,X9))) = hd(sk3)
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f53]) ).

fof(f5644,plain,
    ( spl0_494
    | ~ spl0_17
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f5638,f2016,f639,f308,f5642]) ).

fof(f5642,plain,
    ( spl0_494
  <=> ! [X14,X15] :
        ( ~ totalorderedP(app(sk3,skaf43(X14,X15)))
        | nil = app(sk3,skaf43(X14,X15))
        | ~ ssList(app(sk3,skaf43(X14,X15)))
        | totalorderedP(cons(sk5,app(sk3,skaf43(X14,X15)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).

fof(f5638,plain,
    ( ! [X14,X15] :
        ( ~ ssItem(sk5)
        | ~ totalorderedP(app(sk3,skaf43(X14,X15)))
        | totalorderedP(cons(sk5,app(sk3,skaf43(X14,X15))))
        | ~ ssList(app(sk3,skaf43(X14,X15)))
        | nil = app(sk3,skaf43(X14,X15)) )
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(superposition,[],[f365,f2035]) ).

fof(f2035,plain,
    ( ! [X6,X7] : sk5 = hd(app(sk3,skaf43(X6,X7)))
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1302,f2018]) ).

fof(f1302,plain,
    ( ! [X6,X7] : hd(sk3) = hd(app(sk3,skaf43(X6,X7)))
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f52]) ).

fof(f52,axiom,
    ! [X0,X1] : ssList(skaf43(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f5632,plain,
    ( ~ spl0_17
    | spl0_493
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f5626,f308,f5630,f308]) ).

fof(f5630,plain,
    ( spl0_493
  <=> ! [X14,X15] :
        ( ~ totalorderedP(cons(sk5,skaf42(X14,X15)))
        | ~ ssList(cons(sk5,skaf42(X14,X15)))
        | nil = cons(sk5,skaf42(X14,X15))
        | totalorderedP(cons(sk5,cons(sk5,skaf42(X14,X15)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).

fof(f5626,plain,
    ( ! [X14,X15] :
        ( ~ totalorderedP(cons(sk5,skaf42(X14,X15)))
        | ~ ssItem(sk5)
        | totalorderedP(cons(sk5,cons(sk5,skaf42(X14,X15))))
        | nil = cons(sk5,skaf42(X14,X15))
        | ~ ssList(cons(sk5,skaf42(X14,X15))) )
    | ~ spl0_17 ),
    inference(superposition,[],[f365,f1247]) ).

fof(f1247,plain,
    ( ! [X8,X9] : sk5 = hd(cons(sk5,skaf42(X8,X9)))
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f53]) ).

fof(f5620,plain,
    ( ~ spl0_17
    | spl0_492
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f5614,f308,f5618,f308]) ).

fof(f5618,plain,
    ( spl0_492
  <=> ! [X14,X15] :
        ( nil = cons(sk5,skaf43(X14,X15))
        | ~ ssList(cons(sk5,skaf43(X14,X15)))
        | totalorderedP(cons(sk5,cons(sk5,skaf43(X14,X15))))
        | ~ totalorderedP(cons(sk5,skaf43(X14,X15))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).

fof(f5614,plain,
    ( ! [X14,X15] :
        ( nil = cons(sk5,skaf43(X14,X15))
        | ~ totalorderedP(cons(sk5,skaf43(X14,X15)))
        | totalorderedP(cons(sk5,cons(sk5,skaf43(X14,X15))))
        | ~ ssList(cons(sk5,skaf43(X14,X15)))
        | ~ ssItem(sk5) )
    | ~ spl0_17 ),
    inference(superposition,[],[f365,f1246]) ).

fof(f1246,plain,
    ( ! [X6,X7] : sk5 = hd(cons(sk5,skaf43(X6,X7)))
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f52]) ).

fof(f5592,plain,
    ( ~ spl0_69
    | ~ spl0_17
    | ~ spl0_71
    | ~ spl0_491
    | spl0_396 ),
    inference(avatar_split_clause,[],[f5587,f4478,f5589,f741,f308,f726]) ).

fof(f726,plain,
    ( spl0_69
  <=> ssList(skaf67(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f741,plain,
    ( spl0_71
  <=> ssItem(skaf64(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f5589,plain,
    ( spl0_491
  <=> memberP(skaf67(nil),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).

fof(f4478,plain,
    ( spl0_396
  <=> memberP(cons(skaf64(nil),skaf67(nil)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f5587,plain,
    ( ~ memberP(skaf67(nil),sk5)
    | ~ ssItem(skaf64(nil))
    | ~ ssItem(sk5)
    | ~ ssList(skaf67(nil))
    | spl0_396 ),
    inference(resolution,[],[f4480,f139]) ).

fof(f139,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1)
      | ~ ssItem(X2)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f4480,plain,
    ( ~ memberP(cons(skaf64(nil),skaf67(nil)),sk5)
    | spl0_396 ),
    inference(avatar_component_clause,[],[f4478]) ).

fof(f5586,plain,
    ( spl0_490
    | ~ spl0_261
    | ~ spl0_161
    | ~ spl0_485 ),
    inference(avatar_split_clause,[],[f5571,f5556,f1459,f2696,f5584]) ).

fof(f5584,plain,
    ( spl0_490
  <=> ! [X0] :
        ( ~ ssList(X0)
        | app(X0,skaf67(sk3)) = app(skaf42(app(X0,skaf67(sk3)),sk5),cons(sk5,skaf43(sk5,app(X0,skaf67(sk3)))))
        | ~ ssList(app(X0,skaf67(sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).

fof(f2696,plain,
    ( spl0_261
  <=> ssList(skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f5556,plain,
    ( spl0_485
  <=> memberP(skaf67(sk3),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f5571,plain,
    ( ! [X0] :
        ( ~ ssList(skaf67(sk3))
        | ~ ssList(X0)
        | ~ ssList(app(X0,skaf67(sk3)))
        | app(X0,skaf67(sk3)) = app(skaf42(app(X0,skaf67(sk3)),sk5),cons(sk5,skaf43(sk5,app(X0,skaf67(sk3))))) )
    | ~ spl0_161
    | ~ spl0_485 ),
    inference(resolution,[],[f5558,f1460]) ).

fof(f5558,plain,
    ( memberP(skaf67(sk3),sk5)
    | ~ spl0_485 ),
    inference(avatar_component_clause,[],[f5556]) ).

fof(f5582,plain,
    ( ~ spl0_261
    | spl0_489
    | ~ spl0_159
    | ~ spl0_485 ),
    inference(avatar_split_clause,[],[f5572,f5556,f1451,f5580,f2696]) ).

fof(f5580,plain,
    ( spl0_489
  <=> ! [X1] :
        ( app(skaf42(app(skaf67(sk3),X1),sk5),cons(sk5,skaf43(sk5,app(skaf67(sk3),X1)))) = app(skaf67(sk3),X1)
        | ~ ssList(X1)
        | ~ ssList(app(skaf67(sk3),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f5572,plain,
    ( ! [X1] :
        ( app(skaf42(app(skaf67(sk3),X1),sk5),cons(sk5,skaf43(sk5,app(skaf67(sk3),X1)))) = app(skaf67(sk3),X1)
        | ~ ssList(app(skaf67(sk3),X1))
        | ~ ssList(skaf67(sk3))
        | ~ ssList(X1) )
    | ~ spl0_159
    | ~ spl0_485 ),
    inference(resolution,[],[f5558,f1452]) ).

fof(f5578,plain,
    ( spl0_488
    | ~ spl0_261
    | ~ spl0_17
    | ~ spl0_485 ),
    inference(avatar_split_clause,[],[f5573,f5556,f308,f2696,f5575]) ).

fof(f5575,plain,
    ( spl0_488
  <=> skaf67(sk3) = app(skaf42(skaf67(sk3),sk5),cons(sk5,skaf43(sk5,skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f5573,plain,
    ( ~ ssList(skaf67(sk3))
    | skaf67(sk3) = app(skaf42(skaf67(sk3),sk5),cons(sk5,skaf43(sk5,skaf67(sk3))))
    | ~ spl0_17
    | ~ spl0_485 ),
    inference(resolution,[],[f5558,f333]) ).

fof(f5570,plain,
    ( spl0_487
    | ~ spl0_142
    | ~ spl0_159
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f5566,f3616,f1451,f1287,f5568]) ).

fof(f5568,plain,
    ( spl0_487
  <=> ! [X1] :
        ( ~ ssList(X1)
        | ~ ssList(cons(skaf64(sk3),app(skaf67(sk3),X1)))
        | app(skaf42(cons(skaf64(sk3),app(skaf67(sk3),X1)),sk5),cons(sk5,skaf43(sk5,cons(skaf64(sk3),app(skaf67(sk3),X1))))) = cons(skaf64(sk3),app(skaf67(sk3),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f3616,plain,
    ( spl0_335
  <=> memberP(cons(skaf64(sk3),skaf67(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f5566,plain,
    ( ! [X1] :
        ( ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
        | ~ ssList(X1)
        | app(skaf42(cons(skaf64(sk3),app(skaf67(sk3),X1)),sk5),cons(sk5,skaf43(sk5,cons(skaf64(sk3),app(skaf67(sk3),X1))))) = cons(skaf64(sk3),app(skaf67(sk3),X1))
        | ~ ssList(cons(skaf64(sk3),app(skaf67(sk3),X1))) )
    | ~ spl0_159
    | ~ spl0_335 ),
    inference(forward_subsumption_demodulation,[],[f5565,f3700]) ).

fof(f3700,plain,
    ! [X16,X14,X15] :
      ( ~ ssList(X14)
      | app(cons(skaf64(X15),skaf67(X16)),X14) = cons(skaf64(X15),app(skaf67(X16),X14)) ),
    inference(resolution,[],[f852,f28]) ).

fof(f852,plain,
    ! [X11,X12,X13] :
      ( ~ ssList(X12)
      | ~ ssList(X13)
      | cons(skaf64(X11),app(X12,X13)) = app(cons(skaf64(X11),X12),X13) ),
    inference(resolution,[],[f157,f31]) ).

fof(f5565,plain,
    ( ! [X1] :
        ( ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
        | ~ ssList(cons(skaf64(sk3),app(skaf67(sk3),X1)))
        | ~ ssList(X1)
        | app(cons(skaf64(sk3),skaf67(sk3)),X1) = app(skaf42(app(cons(skaf64(sk3),skaf67(sk3)),X1),sk5),cons(sk5,skaf43(sk5,app(cons(skaf64(sk3),skaf67(sk3)),X1)))) )
    | ~ spl0_159
    | ~ spl0_335 ),
    inference(forward_subsumption_demodulation,[],[f5548,f3700]) ).

fof(f5548,plain,
    ( ! [X1] :
        ( ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
        | ~ ssList(X1)
        | ~ ssList(app(cons(skaf64(sk3),skaf67(sk3)),X1))
        | app(cons(skaf64(sk3),skaf67(sk3)),X1) = app(skaf42(app(cons(skaf64(sk3),skaf67(sk3)),X1),sk5),cons(sk5,skaf43(sk5,app(cons(skaf64(sk3),skaf67(sk3)),X1)))) )
    | ~ spl0_159
    | ~ spl0_335 ),
    inference(resolution,[],[f3618,f1452]) ).

fof(f3618,plain,
    ( memberP(cons(skaf64(sk3),skaf67(sk3)),sk5)
    | ~ spl0_335 ),
    inference(avatar_component_clause,[],[f3616]) ).

fof(f5564,plain,
    ( ~ spl0_142
    | spl0_486
    | ~ spl0_17
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f5549,f3616,f308,f5561,f1287]) ).

fof(f5561,plain,
    ( spl0_486
  <=> app(skaf42(cons(skaf64(sk3),skaf67(sk3)),sk5),cons(sk5,skaf43(sk5,cons(skaf64(sk3),skaf67(sk3))))) = cons(skaf64(sk3),skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f5549,plain,
    ( app(skaf42(cons(skaf64(sk3),skaf67(sk3)),sk5),cons(sk5,skaf43(sk5,cons(skaf64(sk3),skaf67(sk3))))) = cons(skaf64(sk3),skaf67(sk3))
    | ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
    | ~ spl0_17
    | ~ spl0_335 ),
    inference(resolution,[],[f3618,f333]) ).

fof(f5559,plain,
    ( ~ spl0_17
    | spl0_485
    | ~ spl0_261
    | ~ spl0_262
    | spl0_290
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f5550,f3616,f3145,f2700,f2696,f5556,f308]) ).

fof(f3145,plain,
    ( spl0_290
  <=> sk5 = skaf64(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f5550,plain,
    ( sk5 = skaf64(sk3)
    | ~ ssItem(skaf64(sk3))
    | ~ ssList(skaf67(sk3))
    | memberP(skaf67(sk3),sk5)
    | ~ ssItem(sk5)
    | ~ spl0_335 ),
    inference(resolution,[],[f3618,f161]) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | ~ ssList(X1)
      | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f5554,plain,
    ( ~ spl0_142
    | spl0_484
    | ~ spl0_161
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f5547,f3616,f1459,f5552,f1287]) ).

fof(f5552,plain,
    ( spl0_484
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(app(X0,cons(skaf64(sk3),skaf67(sk3))))
        | app(skaf42(app(X0,cons(skaf64(sk3),skaf67(sk3))),sk5),cons(sk5,skaf43(sk5,app(X0,cons(skaf64(sk3),skaf67(sk3)))))) = app(X0,cons(skaf64(sk3),skaf67(sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f5547,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(skaf42(app(X0,cons(skaf64(sk3),skaf67(sk3))),sk5),cons(sk5,skaf43(sk5,app(X0,cons(skaf64(sk3),skaf67(sk3)))))) = app(X0,cons(skaf64(sk3),skaf67(sk3)))
        | ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
        | ~ ssList(app(X0,cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_161
    | ~ spl0_335 ),
    inference(resolution,[],[f3618,f1460]) ).

fof(f5546,plain,
    ( ~ spl0_17
    | spl0_483
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f5540,f2016,f639,f5544,f308]) ).

fof(f5544,plain,
    ( spl0_483
  <=> ! [X9] :
        ( nil = app(sk3,skaf66(X9))
        | totalorderedP(cons(sk5,app(sk3,skaf66(X9))))
        | ~ totalorderedP(app(sk3,skaf66(X9)))
        | ~ ssList(app(sk3,skaf66(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f5540,plain,
    ( ! [X9] :
        ( nil = app(sk3,skaf66(X9))
        | ~ ssList(app(sk3,skaf66(X9)))
        | ~ ssItem(sk5)
        | ~ totalorderedP(app(sk3,skaf66(X9)))
        | totalorderedP(cons(sk5,app(sk3,skaf66(X9)))) )
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(superposition,[],[f365,f2034]) ).

fof(f2034,plain,
    ( ! [X5] : sk5 = hd(app(sk3,skaf66(X5)))
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1301,f2018]) ).

fof(f1301,plain,
    ( ! [X5] : hd(sk3) = hd(app(sk3,skaf66(X5)))
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f29]) ).

fof(f5534,plain,
    ( ~ spl0_17
    | spl0_482
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f5528,f2016,f639,f5532,f308]) ).

fof(f5532,plain,
    ( spl0_482
  <=> ! [X9] :
        ( nil = app(sk3,skaf67(X9))
        | totalorderedP(cons(sk5,app(sk3,skaf67(X9))))
        | ~ totalorderedP(app(sk3,skaf67(X9)))
        | ~ ssList(app(sk3,skaf67(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f5528,plain,
    ( ! [X9] :
        ( nil = app(sk3,skaf67(X9))
        | ~ ssItem(sk5)
        | ~ ssList(app(sk3,skaf67(X9)))
        | ~ totalorderedP(app(sk3,skaf67(X9)))
        | totalorderedP(cons(sk5,app(sk3,skaf67(X9)))) )
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(superposition,[],[f365,f2033]) ).

fof(f2033,plain,
    ( ! [X4] : sk5 = hd(app(sk3,skaf67(X4)))
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1300,f2018]) ).

fof(f1300,plain,
    ( ! [X4] : hd(app(sk3,skaf67(X4))) = hd(sk3)
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f28]) ).

fof(f5522,plain,
    ( ~ spl0_17
    | spl0_481
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f5516,f2016,f639,f5520,f308]) ).

fof(f5520,plain,
    ( spl0_481
  <=> ! [X9] :
        ( nil = app(sk3,skaf68(X9))
        | ~ totalorderedP(app(sk3,skaf68(X9)))
        | totalorderedP(cons(sk5,app(sk3,skaf68(X9))))
        | ~ ssList(app(sk3,skaf68(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f5516,plain,
    ( ! [X9] :
        ( nil = app(sk3,skaf68(X9))
        | ~ ssList(app(sk3,skaf68(X9)))
        | totalorderedP(cons(sk5,app(sk3,skaf68(X9))))
        | ~ totalorderedP(app(sk3,skaf68(X9)))
        | ~ ssItem(sk5) )
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(superposition,[],[f365,f2032]) ).

fof(f2032,plain,
    ( ! [X3] : sk5 = hd(app(sk3,skaf68(X3)))
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1299,f2018]) ).

fof(f1299,plain,
    ( ! [X3] : hd(sk3) = hd(app(sk3,skaf68(X3)))
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f27]) ).

fof(f5510,plain,
    ( spl0_340
    | spl0_316
    | ~ spl0_17
    | ~ spl0_261
    | ~ spl0_341
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f5506,f3669,f3664,f2696,f308,f3459,f3660]) ).

fof(f3660,plain,
    ( spl0_340
  <=> nil = skaf67(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f3459,plain,
    ( spl0_316
  <=> totalorderedP(cons(sk5,skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f3664,plain,
    ( spl0_341
  <=> totalorderedP(skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f3669,plain,
    ( spl0_342
  <=> leq(sk5,hd(skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f5506,plain,
    ( ~ totalorderedP(skaf67(sk3))
    | ~ ssList(skaf67(sk3))
    | ~ ssItem(sk5)
    | totalorderedP(cons(sk5,skaf67(sk3)))
    | nil = skaf67(sk3)
    | ~ spl0_342 ),
    inference(resolution,[],[f3671,f159]) ).

fof(f3671,plain,
    ( leq(sk5,hd(skaf67(sk3)))
    | ~ spl0_342 ),
    inference(avatar_component_clause,[],[f3669]) ).

fof(f5505,plain,
    ( spl0_480
    | ~ spl0_17
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f5499,f308,f308,f5503]) ).

fof(f5503,plain,
    ( spl0_480
  <=> ! [X9] :
        ( ~ totalorderedP(cons(sk5,skaf66(X9)))
        | ~ ssList(cons(sk5,skaf66(X9)))
        | nil = cons(sk5,skaf66(X9))
        | totalorderedP(cons(sk5,cons(sk5,skaf66(X9)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f5499,plain,
    ( ! [X9] :
        ( ~ ssItem(sk5)
        | ~ totalorderedP(cons(sk5,skaf66(X9)))
        | totalorderedP(cons(sk5,cons(sk5,skaf66(X9))))
        | nil = cons(sk5,skaf66(X9))
        | ~ ssList(cons(sk5,skaf66(X9))) )
    | ~ spl0_17 ),
    inference(superposition,[],[f365,f1245]) ).

fof(f1245,plain,
    ( ! [X5] : sk5 = hd(cons(sk5,skaf66(X5)))
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f29]) ).

fof(f5493,plain,
    ( spl0_479
    | ~ spl0_17
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f5487,f308,f308,f5491]) ).

fof(f5491,plain,
    ( spl0_479
  <=> ! [X9] :
        ( totalorderedP(cons(sk5,cons(sk5,skaf67(X9))))
        | ~ ssList(cons(sk5,skaf67(X9)))
        | nil = cons(sk5,skaf67(X9))
        | ~ totalorderedP(cons(sk5,skaf67(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f5487,plain,
    ( ! [X9] :
        ( ~ ssItem(sk5)
        | totalorderedP(cons(sk5,cons(sk5,skaf67(X9))))
        | ~ totalorderedP(cons(sk5,skaf67(X9)))
        | nil = cons(sk5,skaf67(X9))
        | ~ ssList(cons(sk5,skaf67(X9))) )
    | ~ spl0_17 ),
    inference(superposition,[],[f365,f1244]) ).

fof(f1244,plain,
    ( ! [X4] : sk5 = hd(cons(sk5,skaf67(X4)))
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f28]) ).

fof(f5481,plain,
    ( spl0_478
    | ~ spl0_17
    | ~ spl0_352
    | ~ spl0_356 ),
    inference(avatar_split_clause,[],[f5465,f3958,f3941,f308,f5479]) ).

fof(f5479,plain,
    ( spl0_478
  <=> ! [X1] :
        ( ~ leq(X1,sk5)
        | ~ ssItem(X1)
        | lt(X1,hd(skaf67(sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f3941,plain,
    ( spl0_352
  <=> ssItem(hd(skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f3958,plain,
    ( spl0_356
  <=> lt(sk5,hd(skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f5465,plain,
    ( ! [X1] :
        ( ~ ssItem(hd(skaf67(sk3)))
        | ~ ssItem(sk5)
        | ~ leq(X1,sk5)
        | lt(X1,hd(skaf67(sk3)))
        | ~ ssItem(X1) )
    | ~ spl0_356 ),
    inference(resolution,[],[f3960,f147]) ).

fof(f3960,plain,
    ( lt(sk5,hd(skaf67(sk3)))
    | ~ spl0_356 ),
    inference(avatar_component_clause,[],[f3958]) ).

fof(f5477,plain,
    ( ~ spl0_17
    | ~ spl0_352
    | spl0_342
    | ~ spl0_356 ),
    inference(avatar_split_clause,[],[f5467,f3958,f3669,f3941,f308]) ).

fof(f5467,plain,
    ( leq(sk5,hd(skaf67(sk3)))
    | ~ ssItem(hd(skaf67(sk3)))
    | ~ ssItem(sk5)
    | ~ spl0_356 ),
    inference(resolution,[],[f3960,f103]) ).

fof(f5476,plain,
    ( ~ spl0_17
    | ~ spl0_352
    | ~ spl0_477
    | ~ spl0_356 ),
    inference(avatar_split_clause,[],[f5466,f3958,f5473,f3941,f308]) ).

fof(f5473,plain,
    ( spl0_477
  <=> lt(hd(skaf67(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f5466,plain,
    ( ~ lt(hd(skaf67(sk3)),sk5)
    | ~ ssItem(hd(skaf67(sk3)))
    | ~ ssItem(sk5)
    | ~ spl0_356 ),
    inference(resolution,[],[f3960,f114]) ).

fof(f5471,plain,
    ( ~ spl0_352
    | spl0_476
    | ~ spl0_17
    | ~ spl0_356 ),
    inference(avatar_split_clause,[],[f5464,f3958,f308,f5469,f3941]) ).

fof(f5469,plain,
    ( spl0_476
  <=> ! [X0] :
        ( lt(sk5,X0)
        | ~ lt(hd(skaf67(sk3)),X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f5464,plain,
    ( ! [X0] :
        ( ~ ssItem(sk5)
        | lt(sk5,X0)
        | ~ ssItem(X0)
        | ~ ssItem(hd(skaf67(sk3)))
        | ~ lt(hd(skaf67(sk3)),X0) )
    | ~ spl0_356 ),
    inference(resolution,[],[f3960,f155]) ).

fof(f5462,plain,
    ( ~ spl0_17
    | spl0_475
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f5456,f308,f5460,f308]) ).

fof(f5460,plain,
    ( spl0_475
  <=> ! [X9] :
        ( nil = cons(sk5,skaf68(X9))
        | ~ ssList(cons(sk5,skaf68(X9)))
        | ~ totalorderedP(cons(sk5,skaf68(X9)))
        | totalorderedP(cons(sk5,cons(sk5,skaf68(X9)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f5456,plain,
    ( ! [X9] :
        ( nil = cons(sk5,skaf68(X9))
        | totalorderedP(cons(sk5,cons(sk5,skaf68(X9))))
        | ~ totalorderedP(cons(sk5,skaf68(X9)))
        | ~ ssItem(sk5)
        | ~ ssList(cons(sk5,skaf68(X9))) )
    | ~ spl0_17 ),
    inference(superposition,[],[f365,f1243]) ).

fof(f1243,plain,
    ( ! [X3] : sk5 = hd(cons(sk5,skaf68(X3)))
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f27]) ).

fof(f5393,plain,
    ( ~ spl0_5
    | ~ spl0_91
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f5361,f4843,f964,f249]) ).

fof(f4843,plain,
    ( spl0_443
  <=> nil = cons(skaf65(nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f5361,plain,
    ( ~ ssItem(skaf65(nil))
    | ~ ssList(nil)
    | ~ spl0_443 ),
    inference(trivial_inequality_removal,[],[f5342]) ).

fof(f5342,plain,
    ( ~ ssItem(skaf65(nil))
    | ~ ssList(nil)
    | nil != nil
    | ~ spl0_443 ),
    inference(superposition,[],[f98,f4844]) ).

fof(f4844,plain,
    ( nil = cons(skaf65(nil),nil)
    | ~ spl0_443 ),
    inference(avatar_component_clause,[],[f4843]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f5392,plain,
    ( spl0_474
    | ~ spl0_91
    | ~ spl0_5
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f5388,f4843,f249,f964,f5390]) ).

fof(f5390,plain,
    ( spl0_474
  <=> ! [X10] :
        ( memberP(X10,skaf65(nil))
        | ~ ssList(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f5388,plain,
    ( ! [X10] :
        ( ~ ssList(nil)
        | ~ ssItem(skaf65(nil))
        | memberP(X10,skaf65(nil))
        | ~ ssList(X10) )
    | ~ spl0_443 ),
    inference(forward_subsumption_demodulation,[],[f5387,f73]) ).

fof(f5387,plain,
    ( ! [X10] :
        ( ~ ssList(X10)
        | ~ ssList(nil)
        | memberP(app(X10,nil),skaf65(nil))
        | ~ ssItem(skaf65(nil)) )
    | ~ spl0_443 ),
    inference(duplicate_literal_removal,[],[f5386]) ).

fof(f5386,plain,
    ( ! [X10] :
        ( ~ ssList(X10)
        | ~ ssItem(skaf65(nil))
        | memberP(app(X10,nil),skaf65(nil))
        | ~ ssList(X10)
        | ~ ssList(nil) )
    | ~ spl0_443 ),
    inference(forward_subsumption_demodulation,[],[f5354,f73]) ).

fof(f5354,plain,
    ( ! [X10] :
        ( ~ ssItem(skaf65(nil))
        | ~ ssList(nil)
        | ~ ssList(X10)
        | ~ ssList(app(X10,nil))
        | memberP(app(X10,nil),skaf65(nil)) )
    | ~ spl0_443 ),
    inference(superposition,[],[f198,f4844]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(X0,cons(X1,X2)))
      | memberP(app(X0,cons(X1,X2)),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    inference(equality_resolution,[],[f175]) ).

fof(f175,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X3)
      | memberP(X3,X1)
      | app(X0,cons(X1,X2)) != X3
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f5385,plain,
    ( ~ spl0_91
    | ~ spl0_5
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f5362,f4843,f249,f964]) ).

fof(f5362,plain,
    ( ~ ssList(nil)
    | ~ ssItem(skaf65(nil))
    | ~ spl0_443 ),
    inference(trivial_inequality_removal,[],[f5343]) ).

fof(f5343,plain,
    ( ~ ssList(nil)
    | ~ ssItem(skaf65(nil))
    | nil != nil
    | ~ spl0_443 ),
    inference(superposition,[],[f99,f4844]) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f5383,plain,
    ( ~ spl0_5
    | spl0_473
    | ~ spl0_91
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f5379,f4843,f964,f5381,f249]) ).

fof(f5381,plain,
    ( spl0_473
  <=> ! [X18,X17,X19] :
        ( ~ ssList(X17)
        | leq(skaf65(nil),X18)
        | ~ ssItem(X18)
        | ~ ssList(cons(X18,X19))
        | ~ totalorderedP(app(X17,cons(X18,X19)))
        | ~ ssList(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).

fof(f5379,plain,
    ( ! [X18,X19,X17] :
        ( ~ ssItem(skaf65(nil))
        | ~ ssList(X17)
        | ~ ssList(X19)
        | ~ ssList(nil)
        | ~ totalorderedP(app(X17,cons(X18,X19)))
        | ~ ssList(cons(X18,X19))
        | ~ ssItem(X18)
        | leq(skaf65(nil),X18) )
    | ~ spl0_443 ),
    inference(forward_subsumption_demodulation,[],[f5378,f73]) ).

fof(f5378,plain,
    ( ! [X18,X19,X17] :
        ( ~ ssList(X17)
        | ~ totalorderedP(app(app(X17,nil),cons(X18,X19)))
        | ~ ssItem(X18)
        | ~ ssList(nil)
        | ~ ssItem(skaf65(nil))
        | ~ ssList(X19)
        | leq(skaf65(nil),X18)
        | ~ ssList(cons(X18,X19)) )
    | ~ spl0_443 ),
    inference(duplicate_literal_removal,[],[f5377]) ).

fof(f5377,plain,
    ( ! [X18,X19,X17] :
        ( ~ ssList(X17)
        | ~ totalorderedP(app(app(X17,nil),cons(X18,X19)))
        | ~ ssList(cons(X18,X19))
        | ~ ssList(X19)
        | ~ ssList(X17)
        | ~ ssItem(X18)
        | ~ ssList(nil)
        | ~ ssItem(skaf65(nil))
        | leq(skaf65(nil),X18) )
    | ~ spl0_443 ),
    inference(forward_subsumption_demodulation,[],[f5358,f73]) ).

fof(f5358,plain,
    ( ! [X18,X19,X17] :
        ( ~ ssList(X17)
        | ~ ssItem(skaf65(nil))
        | ~ ssItem(X18)
        | ~ ssList(X19)
        | ~ ssList(app(X17,nil))
        | leq(skaf65(nil),X18)
        | ~ ssList(nil)
        | ~ totalorderedP(app(app(X17,nil),cons(X18,X19)))
        | ~ ssList(cons(X18,X19)) )
    | ~ spl0_443 ),
    inference(superposition,[],[f533,f4844]) ).

fof(f533,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ~ ssList(app(X5,cons(X6,X7)))
      | ~ totalorderedP(app(app(X5,cons(X6,X7)),cons(X3,X4)))
      | ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(cons(X3,X4))
      | ~ ssItem(X6)
      | leq(X6,X3)
      | ~ ssItem(X3)
      | ~ ssList(X7) ),
    inference(resolution,[],[f85,f216]) ).

fof(f216,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X4)
      | ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X3)
      | leq(X1,X3) ),
    inference(equality_resolution,[],[f182]) ).

fof(f182,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | leq(X1,X3)
      | ~ ssItem(X3)
      | ~ ssList(X0)
      | ~ ssList(X5)
      | ~ totalorderedP(X5)
      | ~ ssList(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f5376,plain,
    ( ~ spl0_91
    | ~ spl0_5
    | spl0_472
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f5372,f4843,f5374,f249,f964]) ).

fof(f5374,plain,
    ( spl0_472
  <=> ! [X16,X14,X15] :
        ( ~ ssList(X14)
        | ~ ssList(app(X14,cons(X15,X16)))
        | ~ ssList(X16)
        | leq(X15,skaf65(nil))
        | ~ totalorderedP(app(X14,cons(X15,X16)))
        | ~ ssItem(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f5372,plain,
    ( ! [X16,X14,X15] :
        ( ~ ssList(X14)
        | ~ ssItem(X15)
        | ~ totalorderedP(app(X14,cons(X15,X16)))
        | ~ ssList(nil)
        | leq(X15,skaf65(nil))
        | ~ ssItem(skaf65(nil))
        | ~ ssList(X16)
        | ~ ssList(app(X14,cons(X15,X16))) )
    | ~ spl0_443 ),
    inference(forward_subsumption_demodulation,[],[f5371,f73]) ).

fof(f5371,plain,
    ( ! [X16,X14,X15] :
        ( leq(X15,skaf65(nil))
        | ~ ssList(X16)
        | ~ ssList(app(X14,cons(X15,X16)))
        | ~ ssList(nil)
        | ~ ssList(X14)
        | ~ ssItem(skaf65(nil))
        | ~ totalorderedP(app(app(X14,cons(X15,X16)),nil))
        | ~ ssItem(X15) )
    | ~ spl0_443 ),
    inference(forward_subsumption_demodulation,[],[f5356,f2648]) ).

fof(f2648,plain,
    ! [X21,X19,X20] :
      ( ~ ssList(X19)
      | ~ ssItem(X20)
      | ~ ssList(X21)
      | app(app(X19,cons(X20,X21)),nil) = app(X19,cons(X20,X21)) ),
    inference(resolution,[],[f535,f86]) ).

fof(f535,plain,
    ! [X10,X11] :
      ( ~ ssList(X10)
      | app(X11,X10) = app(app(X11,X10),nil)
      | ~ ssList(X11) ),
    inference(resolution,[],[f85,f73]) ).

fof(f5356,plain,
    ( ! [X16,X14,X15] :
        ( ~ ssList(app(app(X14,cons(X15,X16)),nil))
        | leq(X15,skaf65(nil))
        | ~ ssList(X16)
        | ~ ssItem(skaf65(nil))
        | ~ ssList(X14)
        | ~ ssItem(X15)
        | ~ totalorderedP(app(app(X14,cons(X15,X16)),nil))
        | ~ ssList(nil) )
    | ~ spl0_443 ),
    inference(superposition,[],[f216,f4844]) ).

fof(f5370,plain,
    ( ~ spl0_91
    | ~ spl0_5
    | spl0_471
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f5366,f4843,f5368,f249,f964]) ).

fof(f5368,plain,
    ( spl0_471
  <=> ! [X13,X12,X11] :
        ( leq(skaf65(nil),X12)
        | ~ totalorderedP(app(X11,cons(X12,X13)))
        | ~ ssList(app(X11,cons(X12,X13)))
        | ~ ssList(X11)
        | ~ ssList(X13)
        | ~ ssItem(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f5366,plain,
    ( ! [X11,X12,X13] :
        ( leq(skaf65(nil),X12)
        | ~ ssItem(X12)
        | ~ ssList(nil)
        | ~ ssList(X13)
        | ~ ssList(X11)
        | ~ ssList(app(X11,cons(X12,X13)))
        | ~ ssItem(skaf65(nil))
        | ~ totalorderedP(app(X11,cons(X12,X13))) )
    | ~ spl0_443 ),
    inference(forward_subsumption_demodulation,[],[f5365,f73]) ).

fof(f5365,plain,
    ( ! [X11,X12,X13] :
        ( leq(skaf65(nil),X12)
        | ~ ssList(app(app(X11,nil),cons(X12,X13)))
        | ~ totalorderedP(app(X11,cons(X12,X13)))
        | ~ ssItem(X12)
        | ~ ssItem(skaf65(nil))
        | ~ ssList(X13)
        | ~ ssList(X11)
        | ~ ssList(nil) )
    | ~ spl0_443 ),
    inference(forward_subsumption_demodulation,[],[f5355,f73]) ).

fof(f5355,plain,
    ( ! [X11,X12,X13] :
        ( leq(skaf65(nil),X12)
        | ~ ssList(nil)
        | ~ totalorderedP(app(app(X11,nil),cons(X12,X13)))
        | ~ ssList(X11)
        | ~ ssItem(skaf65(nil))
        | ~ ssItem(X12)
        | ~ ssList(X13)
        | ~ ssList(app(app(X11,nil),cons(X12,X13))) )
    | ~ spl0_443 ),
    inference(superposition,[],[f216,f4844]) ).

fof(f5364,plain,
    ( ~ spl0_5
    | spl0_63
    | ~ spl0_91
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f5357,f4843,f964,f693,f249]) ).

fof(f693,plain,
    ( spl0_63
  <=> memberP(nil,skaf65(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f5357,plain,
    ( ~ ssItem(skaf65(nil))
    | memberP(nil,skaf65(nil))
    | ~ ssList(nil)
    | ~ spl0_443 ),
    inference(superposition,[],[f225,f4844]) ).

fof(f225,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f211,plain,
    ! [X2,X1] :
      ( ~ ssList(X2)
      | memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f5290,plain,
    ( spl0_452
    | spl0_427
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5088,f4728,f4716,f4899]) ).

fof(f4899,plain,
    ( spl0_452
  <=> app(sk3,sk3) = app(app(skaf66(app(sk3,sk3)),cons(skaf64(app(sk3,sk3)),skaf67(app(sk3,sk3)))),cons(skaf65(app(sk3,sk3)),skaf68(app(sk3,sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f4716,plain,
    ( spl0_427
  <=> totalorderedP(app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f5088,plain,
    ( totalorderedP(app(sk3,sk3))
    | app(sk3,sk3) = app(app(skaf66(app(sk3,sk3)),cons(skaf64(app(sk3,sk3)),skaf67(app(sk3,sk3)))),cons(skaf65(app(sk3,sk3)),skaf68(app(sk3,sk3))))
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f164]) ).

fof(f5289,plain,
    ( spl0_466
    | ~ spl0_7
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5246,f4724,f260,f5266]) ).

fof(f5266,plain,
    ( spl0_466
  <=> ! [X4] :
        ( nil != app(X4,sk3)
        | ~ ssList(X4)
        | sk3 = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f4724,plain,
    ( spl0_429
  <=> nil = app(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f5246,plain,
    ( ! [X5] :
        ( ~ ssList(sk3)
        | nil != app(X5,sk3)
        | ~ ssList(X5)
        | sk3 = X5 )
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5239]) ).

fof(f5239,plain,
    ( ! [X5] :
        ( ~ ssList(sk3)
        | ~ ssList(X5)
        | sk3 = X5
        | ~ ssList(sk3)
        | nil != app(X5,sk3) )
    | ~ spl0_429 ),
    inference(superposition,[],[f151,f4726]) ).

fof(f4726,plain,
    ( nil = app(sk3,sk3)
    | ~ spl0_429 ),
    inference(avatar_component_clause,[],[f4724]) ).

fof(f5288,plain,
    ( ~ spl0_7
    | spl0_53
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5248,f4724,f582,f260]) ).

fof(f5248,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_429 ),
    inference(trivial_inequality_removal,[],[f5247]) ).

fof(f5247,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | nil != nil
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5232]) ).

fof(f5232,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | nil != nil
    | ~ ssList(sk3)
    | ~ spl0_429 ),
    inference(superposition,[],[f118,f4726]) ).

fof(f5287,plain,
    ( spl0_470
    | ~ spl0_7
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5249,f4724,f260,f5285]) ).

fof(f5285,plain,
    ( spl0_470
  <=> ! [X7] :
        ( memberP(sk3,skaf64(X7))
        | ~ memberP(nil,skaf64(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f5249,plain,
    ( ! [X7] :
        ( ~ ssList(sk3)
        | memberP(sk3,skaf64(X7))
        | ~ memberP(nil,skaf64(X7)) )
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5242]) ).

fof(f5242,plain,
    ( ! [X7] :
        ( ~ memberP(nil,skaf64(X7))
        | ~ ssList(sk3)
        | memberP(sk3,skaf64(X7))
        | memberP(sk3,skaf64(X7))
        | ~ ssList(sk3) )
    | ~ spl0_429 ),
    inference(superposition,[],[f359,f4726]) ).

fof(f5283,plain,
    ( spl0_468
    | ~ spl0_7
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5251,f4724,f260,f5276]) ).

fof(f5276,plain,
    ( spl0_468
  <=> ! [X1] :
        ( ~ memberP(sk3,X1)
        | ~ ssItem(X1)
        | memberP(nil,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f5251,plain,
    ( ! [X0] :
        ( ~ ssList(sk3)
        | ~ memberP(sk3,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0) )
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5234]) ).

fof(f5234,plain,
    ( ! [X0] :
        ( memberP(nil,X0)
        | ~ ssItem(X0)
        | ~ memberP(sk3,X0)
        | ~ ssList(sk3)
        | ~ ssList(sk3) )
    | ~ spl0_429 ),
    inference(superposition,[],[f140,f4726]) ).

fof(f5282,plain,
    ( spl0_469
    | ~ spl0_7
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5252,f4724,f260,f5280]) ).

fof(f5280,plain,
    ( spl0_469
  <=> ! [X6] :
        ( memberP(sk3,skaf65(X6))
        | ~ memberP(nil,skaf65(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f5252,plain,
    ( ! [X6] :
        ( ~ ssList(sk3)
        | memberP(sk3,skaf65(X6))
        | ~ memberP(nil,skaf65(X6)) )
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5241]) ).

fof(f5241,plain,
    ( ! [X6] :
        ( ~ memberP(nil,skaf65(X6))
        | memberP(sk3,skaf65(X6))
        | ~ ssList(sk3)
        | ~ ssList(sk3)
        | memberP(sk3,skaf65(X6)) )
    | ~ spl0_429 ),
    inference(superposition,[],[f357,f4726]) ).

fof(f5278,plain,
    ( ~ spl0_7
    | spl0_468
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5253,f4724,f5276,f260]) ).

fof(f5253,plain,
    ( ! [X1] :
        ( ~ memberP(sk3,X1)
        | memberP(nil,X1)
        | ~ ssList(sk3)
        | ~ ssItem(X1) )
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5235]) ).

fof(f5235,plain,
    ( ! [X1] :
        ( ~ ssList(sk3)
        | memberP(nil,X1)
        | ~ memberP(sk3,X1)
        | ~ ssList(sk3)
        | ~ ssItem(X1) )
    | ~ spl0_429 ),
    inference(superposition,[],[f141,f4726]) ).

fof(f5274,plain,
    ( spl0_465
    | ~ spl0_7
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5254,f4724,f260,f5262]) ).

fof(f5262,plain,
    ( spl0_465
  <=> ! [X2] :
        ( nil != app(sk3,X2)
        | ~ ssList(X2)
        | sk3 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f5254,plain,
    ( ! [X3] :
        ( ~ ssList(sk3)
        | nil != app(sk3,X3)
        | ~ ssList(X3)
        | sk3 = X3 )
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5237]) ).

fof(f5237,plain,
    ( ! [X3] :
        ( nil != app(sk3,X3)
        | ~ ssList(X3)
        | sk3 = X3
        | ~ ssList(sk3)
        | ~ ssList(sk3) )
    | ~ spl0_429 ),
    inference(superposition,[],[f150,f4726]) ).

fof(f5273,plain,
    ( ~ spl0_7
    | spl0_467
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5255,f4724,f5271,f260]) ).

fof(f5271,plain,
    ( spl0_467
  <=> ! [X8] :
        ( memberP(sk3,hd(X8))
        | ~ memberP(nil,hd(X8))
        | nil = X8
        | ~ ssList(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f5255,plain,
    ( ! [X8] :
        ( memberP(sk3,hd(X8))
        | ~ ssList(sk3)
        | ~ ssList(X8)
        | nil = X8
        | ~ memberP(nil,hd(X8)) )
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5243]) ).

fof(f5243,plain,
    ( ! [X8] :
        ( nil = X8
        | memberP(sk3,hd(X8))
        | ~ ssList(X8)
        | ~ ssList(sk3)
        | memberP(sk3,hd(X8))
        | ~ ssList(sk3)
        | ~ memberP(nil,hd(X8)) )
    | ~ spl0_429 ),
    inference(superposition,[],[f527,f4726]) ).

fof(f5269,plain,
    ( spl0_53
    | ~ spl0_7
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5257,f4724,f260,f582]) ).

fof(f5257,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_429 ),
    inference(trivial_inequality_removal,[],[f5256]) ).

fof(f5256,plain,
    ( nil != nil
    | nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5233]) ).

fof(f5233,plain,
    ( nil = sk3
    | nil != nil
    | ~ ssList(sk3)
    | ~ ssList(sk3)
    | ~ spl0_429 ),
    inference(superposition,[],[f119,f4726]) ).

fof(f5268,plain,
    ( ~ spl0_7
    | spl0_466
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5258,f4724,f5266,f260]) ).

fof(f5258,plain,
    ( ! [X4] :
        ( nil != app(X4,sk3)
        | sk3 = X4
        | ~ ssList(X4)
        | ~ ssList(sk3) )
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5238]) ).

fof(f5238,plain,
    ( ! [X4] :
        ( ~ ssList(sk3)
        | ~ ssList(X4)
        | ~ ssList(sk3)
        | nil != app(X4,sk3)
        | sk3 = X4 )
    | ~ spl0_429 ),
    inference(superposition,[],[f151,f4726]) ).

fof(f5264,plain,
    ( ~ spl0_7
    | spl0_465
    | ~ spl0_429 ),
    inference(avatar_split_clause,[],[f5260,f4724,f5262,f260]) ).

fof(f5260,plain,
    ( ! [X2] :
        ( nil != app(sk3,X2)
        | sk3 = X2
        | ~ ssList(X2)
        | ~ ssList(sk3) )
    | ~ spl0_429 ),
    inference(duplicate_literal_removal,[],[f5236]) ).

fof(f5236,plain,
    ( ! [X2] :
        ( ~ ssList(sk3)
        | sk3 = X2
        | ~ ssList(sk3)
        | ~ ssList(X2)
        | nil != app(sk3,X2) )
    | ~ spl0_429 ),
    inference(superposition,[],[f150,f4726]) ).

fof(f5163,plain,
    ( spl0_434
    | spl0_464
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5087,f4728,f5160,f4744]) ).

fof(f4744,plain,
    ( spl0_434
  <=> strictorderedP(app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f5160,plain,
    ( spl0_464
  <=> app(sk3,sk3) = app(app(skaf71(app(sk3,sk3)),cons(skaf69(app(sk3,sk3)),skaf72(app(sk3,sk3)))),cons(skaf70(app(sk3,sk3)),skaf73(app(sk3,sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f5087,plain,
    ( app(sk3,sk3) = app(app(skaf71(app(sk3,sk3)),cons(skaf69(app(sk3,sk3)),skaf72(app(sk3,sk3)))),cons(skaf70(app(sk3,sk3)),skaf73(app(sk3,sk3))))
    | strictorderedP(app(sk3,sk3))
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f163]) ).

fof(f5157,plain,
    ( spl0_463
    | spl0_429
    | ~ spl0_200
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5153,f4728,f2079,f4724,f5155]) ).

fof(f5155,plain,
    ( spl0_463
  <=> ! [X0] :
        ( sk5 = hd(app(app(sk3,sk3),X0))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f2079,plain,
    ( spl0_200
  <=> sk5 = hd(app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f5153,plain,
    ( ! [X0] :
        ( nil = app(sk3,sk3)
        | sk5 = hd(app(app(sk3,sk3),X0))
        | ~ ssList(X0) )
    | ~ spl0_200
    | ~ spl0_430 ),
    inference(forward_demodulation,[],[f5084,f2081]) ).

fof(f2081,plain,
    ( sk5 = hd(app(sk3,sk3))
    | ~ spl0_200 ),
    inference(avatar_component_clause,[],[f2079]) ).

fof(f5084,plain,
    ( ! [X0] :
        ( nil = app(sk3,sk3)
        | ~ ssList(X0)
        | hd(app(app(sk3,sk3),X0)) = hd(app(sk3,sk3)) )
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f123]) ).

fof(f5152,plain,
    ( spl0_462
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5117,f4728,f2016,f639,f5149]) ).

fof(f5149,plain,
    ( spl0_462
  <=> sk5 = hd(app(sk3,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f5117,plain,
    ( sk5 = hd(app(sk3,app(sk3,sk3)))
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f2021]) ).

fof(f5147,plain,
    ( spl0_461
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5081,f4728,f5144]) ).

fof(f5144,plain,
    ( spl0_461
  <=> app(sk3,sk3) = app(app(sk3,sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f5081,plain,
    ( app(sk3,sk3) = app(app(sk3,sk3),nil)
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f73]) ).

fof(f5142,plain,
    ( spl0_460
    | spl0_429
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5085,f4728,f4724,f5140]) ).

fof(f5140,plain,
    ( spl0_460
  <=> ! [X1] :
        ( app(tl(app(sk3,sk3)),X1) = tl(app(app(sk3,sk3),X1))
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f5085,plain,
    ( ! [X1] :
        ( nil = app(sk3,sk3)
        | app(tl(app(sk3,sk3)),X1) = tl(app(app(sk3,sk3),X1))
        | ~ ssList(X1) )
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f133]) ).

fof(f5138,plain,
    ( spl0_459
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5094,f4728,f308,f5135]) ).

fof(f5135,plain,
    ( spl0_459
  <=> sk5 = hd(cons(sk5,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f5094,plain,
    ( sk5 = hd(cons(sk5,app(sk3,sk3)))
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f553]) ).

fof(f5133,plain,
    ( spl0_458
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5082,f4728,f5130]) ).

fof(f5130,plain,
    ( spl0_458
  <=> app(sk3,sk3) = app(nil,app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f5082,plain,
    ( app(sk3,sk3) = app(nil,app(sk3,sk3))
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f74]) ).

fof(f5128,plain,
    ( spl0_429
    | spl0_457
    | ~ spl0_200
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5123,f4728,f2079,f5125,f4724]) ).

fof(f5125,plain,
    ( spl0_457
  <=> cons(sk5,tl(app(sk3,sk3))) = app(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f5123,plain,
    ( cons(sk5,tl(app(sk3,sk3))) = app(sk3,sk3)
    | nil = app(sk3,sk3)
    | ~ spl0_200
    | ~ spl0_430 ),
    inference(forward_demodulation,[],[f5083,f2081]) ).

fof(f5083,plain,
    ( app(sk3,sk3) = cons(hd(app(sk3,sk3)),tl(app(sk3,sk3)))
    | nil = app(sk3,sk3)
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f104]) ).

fof(f5122,plain,
    ( spl0_456
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(avatar_split_clause,[],[f5099,f4728,f308,f5119]) ).

fof(f5119,plain,
    ( spl0_456
  <=> cons(sk5,app(sk3,sk3)) = app(cons(sk5,nil),app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f5099,plain,
    ( cons(sk5,app(sk3,sk3)) = app(cons(sk5,nil),app(sk3,sk3))
    | ~ spl0_17
    | ~ spl0_430 ),
    inference(resolution,[],[f4729,f598]) ).

fof(f5031,plain,
    ( ~ spl0_455
    | spl0_442
    | ~ spl0_443 ),
    inference(avatar_split_clause,[],[f4970,f4843,f4835,f5028]) ).

fof(f5028,plain,
    ( spl0_455
  <=> nil = cons(skaf65(nil),tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f4835,plain,
    ( spl0_442
  <=> cons(skaf65(nil),nil) = cons(skaf65(nil),tl(cons(skaf65(nil),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f4970,plain,
    ( nil != cons(skaf65(nil),tl(nil))
    | spl0_442
    | ~ spl0_443 ),
    inference(backward_demodulation,[],[f4836,f4844]) ).

fof(f4836,plain,
    ( cons(skaf65(nil),nil) != cons(skaf65(nil),tl(cons(skaf65(nil),nil)))
    | spl0_442 ),
    inference(avatar_component_clause,[],[f4835]) ).

fof(f5015,plain,
    ( ~ spl0_454
    | ~ spl0_443
    | spl0_447 ),
    inference(avatar_split_clause,[],[f4973,f4864,f4843,f5012]) ).

fof(f5012,plain,
    ( spl0_454
  <=> nil = app(app(skaf71(nil),cons(skaf69(nil),skaf72(nil))),cons(skaf70(nil),skaf73(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f4864,plain,
    ( spl0_447
  <=> cons(skaf65(nil),nil) = app(app(skaf71(cons(skaf65(nil),nil)),cons(skaf69(cons(skaf65(nil),nil)),skaf72(cons(skaf65(nil),nil)))),cons(skaf70(cons(skaf65(nil),nil)),skaf73(cons(skaf65(nil),nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).

fof(f4973,plain,
    ( nil != app(app(skaf71(nil),cons(skaf69(nil),skaf72(nil))),cons(skaf70(nil),skaf73(nil)))
    | ~ spl0_443
    | spl0_447 ),
    inference(backward_demodulation,[],[f4866,f4844]) ).

fof(f4866,plain,
    ( cons(skaf65(nil),nil) != app(app(skaf71(cons(skaf65(nil),nil)),cons(skaf69(cons(skaf65(nil),nil)),skaf72(cons(skaf65(nil),nil)))),cons(skaf70(cons(skaf65(nil),nil)),skaf73(cons(skaf65(nil),nil))))
    | spl0_447 ),
    inference(avatar_component_clause,[],[f4864]) ).

fof(f4964,plain,
    ( spl0_450
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f4908,f4848,f4883]) ).

fof(f4883,plain,
    ( spl0_450
  <=> app(nil,cons(skaf65(nil),nil)) = cons(skaf65(nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f4908,plain,
    ( app(nil,cons(skaf65(nil),nil)) = cons(skaf65(nil),nil)
    | ~ spl0_444 ),
    inference(resolution,[],[f4850,f74]) ).

fof(f4962,plain,
    ( spl0_438
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f4920,f4848,f308,f4810]) ).

fof(f4920,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(nil),nil)))
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(resolution,[],[f4850,f553]) ).

fof(f4961,plain,
    ( spl0_449
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f4943,f4848,f2016,f639,f4875]) ).

fof(f4943,plain,
    ( sk5 = hd(app(sk3,cons(skaf65(nil),nil)))
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_444 ),
    inference(resolution,[],[f4850,f2021]) ).

fof(f4959,plain,
    ( spl0_446
    | spl0_445
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f4914,f4848,f4854,f4859]) ).

fof(f4859,plain,
    ( spl0_446
  <=> cons(skaf65(nil),nil) = app(app(skaf66(cons(skaf65(nil),nil)),cons(skaf64(cons(skaf65(nil),nil)),skaf67(cons(skaf65(nil),nil)))),cons(skaf65(cons(skaf65(nil),nil)),skaf68(cons(skaf65(nil),nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).

fof(f4854,plain,
    ( spl0_445
  <=> totalorderedP(cons(skaf65(nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f4914,plain,
    ( totalorderedP(cons(skaf65(nil),nil))
    | cons(skaf65(nil),nil) = app(app(skaf66(cons(skaf65(nil),nil)),cons(skaf64(cons(skaf65(nil),nil)),skaf67(cons(skaf65(nil),nil)))),cons(skaf65(cons(skaf65(nil),nil)),skaf68(cons(skaf65(nil),nil))))
    | ~ spl0_444 ),
    inference(resolution,[],[f4850,f164]) ).

fof(f4958,plain,
    ( spl0_453
    | spl0_443
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f4954,f4848,f4843,f4956]) ).

fof(f4956,plain,
    ( spl0_453
  <=> ! [X1] :
        ( ~ ssList(X1)
        | app(tl(cons(skaf65(nil),nil)),X1) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f4954,plain,
    ( ! [X1] :
        ( nil = cons(skaf65(nil),nil)
        | ~ ssList(X1)
        | app(tl(cons(skaf65(nil),nil)),X1) = X1 )
    | ~ spl0_444 ),
    inference(forward_subsumption_demodulation,[],[f4953,f2315]) ).

fof(f2315,plain,
    ! [X4,X5] :
      ( tl(cons(skaf65(X5),X4)) = X4
      | ~ ssList(X4) ),
    inference(resolution,[],[f96,f30]) ).

fof(f4953,plain,
    ( ! [X1] :
        ( app(tl(cons(skaf65(nil),nil)),X1) = tl(cons(skaf65(nil),X1))
        | ~ ssList(X1)
        | nil = cons(skaf65(nil),nil) )
    | ~ spl0_444 ),
    inference(forward_subsumption_demodulation,[],[f4911,f595]) ).

fof(f4911,plain,
    ( ! [X1] :
        ( nil = cons(skaf65(nil),nil)
        | app(tl(cons(skaf65(nil),nil)),X1) = tl(app(cons(skaf65(nil),nil),X1))
        | ~ ssList(X1) )
    | ~ spl0_444 ),
    inference(resolution,[],[f4850,f133]) ).

fof(f4950,plain,
    ( spl0_440
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f4925,f4848,f308,f4820]) ).

fof(f4820,plain,
    ( spl0_440
  <=> cons(sk5,cons(skaf65(nil),nil)) = app(cons(sk5,nil),cons(skaf65(nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f4925,plain,
    ( cons(sk5,cons(skaf65(nil),nil)) = app(cons(sk5,nil),cons(skaf65(nil),nil))
    | ~ spl0_17
    | ~ spl0_444 ),
    inference(resolution,[],[f4850,f598]) ).

fof(f4946,plain,
    ( spl0_441
    | spl0_447
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f4913,f4848,f4864,f4826]) ).

fof(f4826,plain,
    ( spl0_441
  <=> strictorderedP(cons(skaf65(nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f4913,plain,
    ( cons(skaf65(nil),nil) = app(app(skaf71(cons(skaf65(nil),nil)),cons(skaf69(cons(skaf65(nil),nil)),skaf72(cons(skaf65(nil),nil)))),cons(skaf70(cons(skaf65(nil),nil)),skaf73(cons(skaf65(nil),nil))))
    | strictorderedP(cons(skaf65(nil),nil))
    | ~ spl0_444 ),
    inference(resolution,[],[f4850,f163]) ).

fof(f4945,plain,
    ( spl0_443
    | spl0_442
    | ~ spl0_5
    | ~ spl0_444 ),
    inference(avatar_split_clause,[],[f4944,f4848,f249,f4835,f4843]) ).

fof(f4944,plain,
    ( cons(skaf65(nil),nil) = cons(skaf65(nil),tl(cons(skaf65(nil),nil)))
    | nil = cons(skaf65(nil),nil)
    | ~ spl0_5
    | ~ spl0_444 ),
    inference(forward_demodulation,[],[f4909,f2357]) ).

fof(f2357,plain,
    ( ! [X0] : skaf65(X0) = hd(cons(skaf65(X0),nil))
    | ~ spl0_5 ),
    inference(resolution,[],[f550,f251]) ).

fof(f550,plain,
    ! [X6,X5] :
      ( ~ ssList(X5)
      | skaf65(X6) = hd(cons(skaf65(X6),X5)) ),
    inference(resolution,[],[f97,f30]) ).

fof(f4909,plain,
    ( nil = cons(skaf65(nil),nil)
    | cons(skaf65(nil),nil) = cons(hd(cons(skaf65(nil),nil)),tl(cons(skaf65(nil),nil)))
    | ~ spl0_444 ),
    inference(resolution,[],[f4850,f104]) ).

fof(f4905,plain,
    ( ~ spl0_7
    | spl0_430 ),
    inference(avatar_split_clause,[],[f4904,f4728,f260]) ).

fof(f4904,plain,
    ( ~ ssList(sk3)
    | spl0_430 ),
    inference(duplicate_literal_removal,[],[f4903]) ).

fof(f4903,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk3)
    | spl0_430 ),
    inference(resolution,[],[f4730,f85]) ).

fof(f4730,plain,
    ( ~ ssList(app(sk3,sk3))
    | spl0_430 ),
    inference(avatar_component_clause,[],[f4728]) ).

fof(f4902,plain,
    ( ~ spl0_7
    | spl0_452
    | spl0_427 ),
    inference(avatar_split_clause,[],[f4897,f4716,f4899,f260]) ).

fof(f4897,plain,
    ( app(sk3,sk3) = app(app(skaf66(app(sk3,sk3)),cons(skaf64(app(sk3,sk3)),skaf67(app(sk3,sk3)))),cons(skaf65(app(sk3,sk3)),skaf68(app(sk3,sk3))))
    | ~ ssList(sk3)
    | spl0_427 ),
    inference(duplicate_literal_removal,[],[f4896]) ).

fof(f4896,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk3)
    | app(sk3,sk3) = app(app(skaf66(app(sk3,sk3)),cons(skaf64(app(sk3,sk3)),skaf67(app(sk3,sk3)))),cons(skaf65(app(sk3,sk3)),skaf68(app(sk3,sk3))))
    | spl0_427 ),
    inference(resolution,[],[f4718,f536]) ).

fof(f536,plain,
    ! [X12,X13] :
      ( totalorderedP(app(X13,X12))
      | app(app(skaf66(app(X13,X12)),cons(skaf64(app(X13,X12)),skaf67(app(X13,X12)))),cons(skaf65(app(X13,X12)),skaf68(app(X13,X12)))) = app(X13,X12)
      | ~ ssList(X13)
      | ~ ssList(X12) ),
    inference(resolution,[],[f85,f164]) ).

fof(f4718,plain,
    ( ~ totalorderedP(app(sk3,sk3))
    | spl0_427 ),
    inference(avatar_component_clause,[],[f4716]) ).

fof(f4895,plain,
    ( ~ spl0_91
    | ~ spl0_5
    | spl0_444 ),
    inference(avatar_split_clause,[],[f4894,f4848,f249,f964]) ).

fof(f4894,plain,
    ( ~ ssList(nil)
    | ~ ssItem(skaf65(nil))
    | spl0_444 ),
    inference(resolution,[],[f4849,f86]) ).

fof(f4849,plain,
    ( ~ ssList(cons(skaf65(nil),nil))
    | spl0_444 ),
    inference(avatar_component_clause,[],[f4848]) ).

fof(f4893,plain,
    ( ~ spl0_451
    | ~ spl0_203
    | ~ spl0_435
    | spl0_437 ),
    inference(avatar_split_clause,[],[f4888,f4761,f4752,f2097,f4890]) ).

fof(f4890,plain,
    ( spl0_451
  <=> lt(skaf65(nil),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f2097,plain,
    ( spl0_203
  <=> sk5 = hd(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f4888,plain,
    ( ~ lt(skaf65(nil),sk5)
    | ~ spl0_203
    | ~ spl0_435
    | spl0_437 ),
    inference(forward_demodulation,[],[f4887,f2098]) ).

fof(f2098,plain,
    ( sk5 = hd(nil)
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f2097]) ).

fof(f4887,plain,
    ( ~ lt(skaf65(nil),hd(nil))
    | ~ spl0_435
    | spl0_437 ),
    inference(forward_demodulation,[],[f4762,f4754]) ).

fof(f4754,plain,
    ( nil = skaf68(nil)
    | ~ spl0_435 ),
    inference(avatar_component_clause,[],[f4752]) ).

fof(f4762,plain,
    ( ~ lt(skaf65(nil),hd(skaf68(nil)))
    | spl0_437 ),
    inference(avatar_component_clause,[],[f4761]) ).

fof(f4886,plain,
    ( spl0_450
    | ~ spl0_98
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4773,f4752,f1007,f4883]) ).

fof(f1007,plain,
    ( spl0_98
  <=> app(nil,cons(skaf65(nil),skaf68(nil))) = cons(skaf65(nil),skaf68(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f4773,plain,
    ( app(nil,cons(skaf65(nil),nil)) = cons(skaf65(nil),nil)
    | ~ spl0_98
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f1009,f4754]) ).

fof(f1009,plain,
    ( app(nil,cons(skaf65(nil),skaf68(nil))) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f4878,plain,
    ( spl0_449
    | ~ spl0_202
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4779,f4752,f2091,f4875]) ).

fof(f4779,plain,
    ( sk5 = hd(app(sk3,cons(skaf65(nil),nil)))
    | ~ spl0_202
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f2093,f4754]) ).

fof(f4872,plain,
    ( ~ spl0_448
    | spl0_66
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4766,f4752,f708,f4869]) ).

fof(f4869,plain,
    ( spl0_448
  <=> nil = app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),cons(skaf65(nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f708,plain,
    ( spl0_66
  <=> nil = app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),cons(skaf65(nil),skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f4766,plain,
    ( nil != app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),cons(skaf65(nil),nil))
    | spl0_66
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f709,f4754]) ).

fof(f709,plain,
    ( nil != app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),cons(skaf65(nil),skaf68(nil)))
    | spl0_66 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f4867,plain,
    ( ~ spl0_447
    | spl0_357
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4802,f4752,f4005,f4864]) ).

fof(f4802,plain,
    ( cons(skaf65(nil),nil) != app(app(skaf71(cons(skaf65(nil),nil)),cons(skaf69(cons(skaf65(nil),nil)),skaf72(cons(skaf65(nil),nil)))),cons(skaf70(cons(skaf65(nil),nil)),skaf73(cons(skaf65(nil),nil))))
    | spl0_357
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f4006,f4754]) ).

fof(f4006,plain,
    ( cons(skaf65(nil),skaf68(nil)) != app(app(skaf71(cons(skaf65(nil),skaf68(nil))),cons(skaf69(cons(skaf65(nil),skaf68(nil))),skaf72(cons(skaf65(nil),skaf68(nil))))),cons(skaf70(cons(skaf65(nil),skaf68(nil))),skaf73(cons(skaf65(nil),skaf68(nil)))))
    | spl0_357 ),
    inference(avatar_component_clause,[],[f4005]) ).

fof(f4862,plain,
    ( spl0_446
    | ~ spl0_94
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4770,f4752,f990,f4859]) ).

fof(f990,plain,
    ( spl0_94
  <=> app(app(skaf66(cons(skaf65(nil),skaf68(nil))),cons(skaf64(cons(skaf65(nil),skaf68(nil))),skaf67(cons(skaf65(nil),skaf68(nil))))),cons(skaf65(cons(skaf65(nil),skaf68(nil))),skaf68(cons(skaf65(nil),skaf68(nil))))) = cons(skaf65(nil),skaf68(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f4770,plain,
    ( cons(skaf65(nil),nil) = app(app(skaf66(cons(skaf65(nil),nil)),cons(skaf64(cons(skaf65(nil),nil)),skaf67(cons(skaf65(nil),nil)))),cons(skaf65(cons(skaf65(nil),nil)),skaf68(cons(skaf65(nil),nil))))
    | ~ spl0_94
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f992,f4754]) ).

fof(f992,plain,
    ( app(app(skaf66(cons(skaf65(nil),skaf68(nil))),cons(skaf64(cons(skaf65(nil),skaf68(nil))),skaf67(cons(skaf65(nil),skaf68(nil))))),cons(skaf65(cons(skaf65(nil),skaf68(nil))),skaf68(cons(skaf65(nil),skaf68(nil))))) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f4857,plain,
    ( ~ spl0_445
    | spl0_95
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4771,f4752,f994,f4854]) ).

fof(f994,plain,
    ( spl0_95
  <=> totalorderedP(cons(skaf65(nil),skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f4771,plain,
    ( ~ totalorderedP(cons(skaf65(nil),nil))
    | spl0_95
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f995,f4754]) ).

fof(f995,plain,
    ( ~ totalorderedP(cons(skaf65(nil),skaf68(nil)))
    | spl0_95 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f4851,plain,
    ( spl0_444
    | ~ spl0_67
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4767,f4752,f713,f4848]) ).

fof(f4767,plain,
    ( ssList(cons(skaf65(nil),nil))
    | ~ spl0_67
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f714,f4754]) ).

fof(f4846,plain,
    ( ~ spl0_443
    | spl0_97
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4772,f4752,f1002,f4843]) ).

fof(f1002,plain,
    ( spl0_97
  <=> nil = cons(skaf65(nil),skaf68(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f4772,plain,
    ( nil != cons(skaf65(nil),nil)
    | spl0_97
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f1003,f4754]) ).

fof(f1003,plain,
    ( nil != cons(skaf65(nil),skaf68(nil))
    | spl0_97 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f4838,plain,
    ( spl0_442
    | ~ spl0_237
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4782,f4752,f2396,f4835]) ).

fof(f2396,plain,
    ( spl0_237
  <=> cons(skaf65(nil),tl(cons(skaf65(nil),skaf68(nil)))) = cons(skaf65(nil),skaf68(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f4782,plain,
    ( cons(skaf65(nil),nil) = cons(skaf65(nil),tl(cons(skaf65(nil),nil)))
    | ~ spl0_237
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f2398,f4754]) ).

fof(f2398,plain,
    ( cons(skaf65(nil),tl(cons(skaf65(nil),skaf68(nil)))) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_237 ),
    inference(avatar_component_clause,[],[f2396]) ).

fof(f4829,plain,
    ( spl0_441
    | ~ spl0_358
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4803,f4752,f4009,f4826]) ).

fof(f4803,plain,
    ( strictorderedP(cons(skaf65(nil),nil))
    | ~ spl0_358
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f4011,f4754]) ).

fof(f4011,plain,
    ( strictorderedP(cons(skaf65(nil),skaf68(nil)))
    | ~ spl0_358 ),
    inference(avatar_component_clause,[],[f4009]) ).

fof(f4823,plain,
    ( spl0_440
    | ~ spl0_174
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4776,f4752,f1700,f4820]) ).

fof(f1700,plain,
    ( spl0_174
  <=> cons(sk5,cons(skaf65(nil),skaf68(nil))) = app(cons(sk5,nil),cons(skaf65(nil),skaf68(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f4776,plain,
    ( cons(sk5,cons(skaf65(nil),nil)) = app(cons(sk5,nil),cons(skaf65(nil),nil))
    | ~ spl0_174
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f1702,f4754]) ).

fof(f1702,plain,
    ( cons(sk5,cons(skaf65(nil),skaf68(nil))) = app(cons(sk5,nil),cons(skaf65(nil),skaf68(nil)))
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1700]) ).

fof(f4818,plain,
    ( ~ spl0_439
    | spl0_61
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4765,f4752,f683,f4815]) ).

fof(f4815,plain,
    ( spl0_439
  <=> memberP(cons(skaf65(nil),nil),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f683,plain,
    ( spl0_61
  <=> memberP(cons(skaf65(nil),skaf68(nil)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f4765,plain,
    ( ~ memberP(cons(skaf65(nil),nil),sk5)
    | spl0_61
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f685,f4754]) ).

fof(f685,plain,
    ( ~ memberP(cons(skaf65(nil),skaf68(nil)),sk5)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f4813,plain,
    ( spl0_438
    | ~ spl0_157
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f4775,f4752,f1425,f4810]) ).

fof(f4775,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(nil),nil)))
    | ~ spl0_157
    | ~ spl0_435 ),
    inference(backward_demodulation,[],[f1427,f4754]) ).

fof(f4764,plain,
    ( spl0_435
    | ~ spl0_92
    | ~ spl0_91
    | spl0_437
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f4750,f4009,f4761,f964,f968,f4752]) ).

fof(f4750,plain,
    ( lt(skaf65(nil),hd(skaf68(nil)))
    | ~ ssItem(skaf65(nil))
    | ~ ssList(skaf68(nil))
    | nil = skaf68(nil)
    | ~ spl0_358 ),
    inference(resolution,[],[f4011,f134]) ).

fof(f134,axiom,
    ! [X0,X1] :
      ( ~ strictorderedP(cons(X0,X1))
      | ~ ssItem(X0)
      | nil = X1
      | lt(X0,hd(X1))
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f4759,plain,
    ( ~ spl0_91
    | ~ spl0_92
    | spl0_435
    | spl0_436
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f4749,f4009,f4756,f4752,f968,f964]) ).

fof(f4756,plain,
    ( spl0_436
  <=> strictorderedP(skaf68(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f4749,plain,
    ( strictorderedP(skaf68(nil))
    | nil = skaf68(nil)
    | ~ ssList(skaf68(nil))
    | ~ ssItem(skaf65(nil))
    | ~ spl0_358 ),
    inference(resolution,[],[f4011,f124]) ).

fof(f124,axiom,
    ! [X0,X1] :
      ( ~ strictorderedP(cons(X0,X1))
      | ~ ssItem(X0)
      | nil = X1
      | strictorderedP(X1)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f4748,plain,
    ( spl0_429
    | ~ spl0_430
    | spl0_432
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f4710,f2079,f4737,f4728,f4724]) ).

fof(f4737,plain,
    ( spl0_432
  <=> ! [X3] :
        ( ~ ssList(X3)
        | tl(X3) != tl(app(sk3,sk3))
        | sk5 != hd(X3)
        | app(sk3,sk3) = X3
        | nil = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f4710,plain,
    ( ! [X2] :
        ( app(sk3,sk3) = X2
        | ~ ssList(X2)
        | ~ ssList(app(sk3,sk3))
        | nil = app(sk3,sk3)
        | tl(X2) != tl(app(sk3,sk3))
        | nil = X2
        | sk5 != hd(X2) )
    | ~ spl0_200 ),
    inference(superposition,[],[f177,f2081]) ).

fof(f4747,plain,
    ( ~ spl0_430
    | spl0_429
    | spl0_433
    | ~ spl0_434
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f4709,f2079,f4744,f4741,f4724,f4728]) ).

fof(f4741,plain,
    ( spl0_433
  <=> ! [X1] :
        ( strictorderedP(cons(X1,app(sk3,sk3)))
        | ~ ssItem(X1)
        | ~ lt(X1,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f4709,plain,
    ( ! [X1] :
        ( ~ strictorderedP(app(sk3,sk3))
        | strictorderedP(cons(X1,app(sk3,sk3)))
        | nil = app(sk3,sk3)
        | ~ lt(X1,sk5)
        | ~ ssItem(X1)
        | ~ ssList(app(sk3,sk3)) )
    | ~ spl0_200 ),
    inference(superposition,[],[f160,f2081]) ).

fof(f4739,plain,
    ( ~ spl0_430
    | spl0_429
    | spl0_432
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f4711,f2079,f4737,f4724,f4728]) ).

fof(f4711,plain,
    ( ! [X3] :
        ( ~ ssList(X3)
        | nil = X3
        | app(sk3,sk3) = X3
        | nil = app(sk3,sk3)
        | sk5 != hd(X3)
        | ~ ssList(app(sk3,sk3))
        | tl(X3) != tl(app(sk3,sk3)) )
    | ~ spl0_200 ),
    inference(superposition,[],[f177,f2081]) ).

fof(f4735,plain,
    ( spl0_429
    | ~ spl0_427
    | ~ spl0_430
    | spl0_431
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f4708,f2079,f4733,f4728,f4716,f4724]) ).

fof(f4733,plain,
    ( spl0_431
  <=> ! [X0] :
        ( totalorderedP(cons(X0,app(sk3,sk3)))
        | ~ ssItem(X0)
        | ~ leq(X0,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f4708,plain,
    ( ! [X0] :
        ( totalorderedP(cons(X0,app(sk3,sk3)))
        | ~ ssList(app(sk3,sk3))
        | ~ leq(X0,sk5)
        | ~ totalorderedP(app(sk3,sk3))
        | nil = app(sk3,sk3)
        | ~ ssItem(X0) )
    | ~ spl0_200 ),
    inference(superposition,[],[f159,f2081]) ).

fof(f4731,plain,
    ( ~ spl0_427
    | ~ spl0_17
    | spl0_428
    | spl0_429
    | ~ spl0_430
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f4712,f2079,f4728,f4724,f4720,f308,f4716]) ).

fof(f4720,plain,
    ( spl0_428
  <=> totalorderedP(cons(sk5,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f4712,plain,
    ( ~ ssList(app(sk3,sk3))
    | nil = app(sk3,sk3)
    | totalorderedP(cons(sk5,app(sk3,sk3)))
    | ~ ssItem(sk5)
    | ~ totalorderedP(app(sk3,sk3))
    | ~ spl0_200 ),
    inference(superposition,[],[f365,f2081]) ).

fof(f4706,plain,
    ( spl0_426
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4602,f1376,f4703]) ).

fof(f4703,plain,
    ( spl0_426
  <=> cons(skaf64(nil),skaf67(nil)) = app(nil,cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f4602,plain,
    ( cons(skaf64(nil),skaf67(nil)) = app(nil,cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_148 ),
    inference(resolution,[],[f1377,f74]) ).

fof(f4701,plain,
    ( spl0_424
    | spl0_425
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4607,f1376,f4698,f4694]) ).

fof(f4694,plain,
    ( spl0_424
  <=> cons(skaf64(nil),skaf67(nil)) = app(app(skaf71(cons(skaf64(nil),skaf67(nil))),cons(skaf69(cons(skaf64(nil),skaf67(nil))),skaf72(cons(skaf64(nil),skaf67(nil))))),cons(skaf70(cons(skaf64(nil),skaf67(nil))),skaf73(cons(skaf64(nil),skaf67(nil))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f4698,plain,
    ( spl0_425
  <=> strictorderedP(cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f4607,plain,
    ( strictorderedP(cons(skaf64(nil),skaf67(nil)))
    | cons(skaf64(nil),skaf67(nil)) = app(app(skaf71(cons(skaf64(nil),skaf67(nil))),cons(skaf69(cons(skaf64(nil),skaf67(nil))),skaf72(cons(skaf64(nil),skaf67(nil))))),cons(skaf70(cons(skaf64(nil),skaf67(nil))),skaf73(cons(skaf64(nil),skaf67(nil)))))
    | ~ spl0_148 ),
    inference(resolution,[],[f1377,f163]) ).

fof(f4690,plain,
    ( spl0_423
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4614,f1376,f308,f4687]) ).

fof(f4687,plain,
    ( spl0_423
  <=> sk5 = hd(cons(sk5,cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f4614,plain,
    ( sk5 = hd(cons(sk5,cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(resolution,[],[f1377,f553]) ).

fof(f4684,plain,
    ( spl0_422
    | spl0_415
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4680,f1376,f4644,f4682]) ).

fof(f4682,plain,
    ( spl0_422
  <=> ! [X0] :
        ( hd(cons(skaf64(nil),app(skaf67(nil),X0))) = skaf64(nil)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f4644,plain,
    ( spl0_415
  <=> nil = cons(skaf64(nil),skaf67(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f4680,plain,
    ( ! [X0] :
        ( nil = cons(skaf64(nil),skaf67(nil))
        | hd(cons(skaf64(nil),app(skaf67(nil),X0))) = skaf64(nil)
        | ~ ssList(X0) )
    | ~ spl0_148 ),
    inference(forward_subsumption_demodulation,[],[f4679,f3700]) ).

fof(f4679,plain,
    ( ! [X0] :
        ( nil = cons(skaf64(nil),skaf67(nil))
        | skaf64(nil) = hd(app(cons(skaf64(nil),skaf67(nil)),X0))
        | ~ ssList(X0) )
    | ~ spl0_148 ),
    inference(forward_demodulation,[],[f4604,f2472]) ).

fof(f2472,plain,
    ! [X10,X9] : skaf64(X9) = hd(cons(skaf64(X9),skaf67(X10))),
    inference(resolution,[],[f551,f28]) ).

fof(f551,plain,
    ! [X8,X7] :
      ( ~ ssList(X7)
      | skaf64(X8) = hd(cons(skaf64(X8),X7)) ),
    inference(resolution,[],[f97,f31]) ).

fof(f4604,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | hd(cons(skaf64(nil),skaf67(nil))) = hd(app(cons(skaf64(nil),skaf67(nil)),X0))
        | nil = cons(skaf64(nil),skaf67(nil)) )
    | ~ spl0_148 ),
    inference(resolution,[],[f1377,f123]) ).

fof(f4677,plain,
    ( spl0_421
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4601,f1376,f4674]) ).

fof(f4674,plain,
    ( spl0_421
  <=> cons(skaf64(nil),skaf67(nil)) = app(cons(skaf64(nil),skaf67(nil)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f4601,plain,
    ( cons(skaf64(nil),skaf67(nil)) = app(cons(skaf64(nil),skaf67(nil)),nil)
    | ~ spl0_148 ),
    inference(resolution,[],[f1377,f73]) ).

fof(f4672,plain,
    ( spl0_420
    | ~ spl0_54
    | ~ spl0_148
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f4637,f2016,f1376,f639,f4669]) ).

fof(f4669,plain,
    ( spl0_420
  <=> sk5 = hd(app(sk3,cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f4637,plain,
    ( sk5 = hd(app(sk3,cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_54
    | ~ spl0_148
    | ~ spl0_194 ),
    inference(resolution,[],[f1377,f2021]) ).

fof(f4667,plain,
    ( spl0_415
    | spl0_419
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4663,f1376,f4665,f4644]) ).

fof(f4665,plain,
    ( spl0_419
  <=> ! [X1] :
        ( tl(cons(skaf64(nil),app(skaf67(nil),X1))) = app(tl(cons(skaf64(nil),skaf67(nil))),X1)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f4663,plain,
    ( ! [X1] :
        ( tl(cons(skaf64(nil),app(skaf67(nil),X1))) = app(tl(cons(skaf64(nil),skaf67(nil))),X1)
        | ~ ssList(X1)
        | nil = cons(skaf64(nil),skaf67(nil)) )
    | ~ spl0_148 ),
    inference(forward_subsumption_demodulation,[],[f4605,f3700]) ).

fof(f4605,plain,
    ( ! [X1] :
        ( tl(app(cons(skaf64(nil),skaf67(nil)),X1)) = app(tl(cons(skaf64(nil),skaf67(nil))),X1)
        | nil = cons(skaf64(nil),skaf67(nil))
        | ~ ssList(X1) )
    | ~ spl0_148 ),
    inference(resolution,[],[f1377,f133]) ).

fof(f4661,plain,
    ( spl0_418
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4619,f1376,f308,f4658]) ).

fof(f4658,plain,
    ( spl0_418
  <=> cons(sk5,cons(skaf64(nil),skaf67(nil))) = app(cons(sk5,nil),cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f4619,plain,
    ( cons(sk5,cons(skaf64(nil),skaf67(nil))) = app(cons(sk5,nil),cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_17
    | ~ spl0_148 ),
    inference(resolution,[],[f1377,f598]) ).

fof(f4656,plain,
    ( spl0_416
    | spl0_417
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4608,f1376,f4653,f4649]) ).

fof(f4649,plain,
    ( spl0_416
  <=> totalorderedP(cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f4653,plain,
    ( spl0_417
  <=> cons(skaf64(nil),skaf67(nil)) = app(app(skaf66(cons(skaf64(nil),skaf67(nil))),cons(skaf64(cons(skaf64(nil),skaf67(nil))),skaf67(cons(skaf64(nil),skaf67(nil))))),cons(skaf65(cons(skaf64(nil),skaf67(nil))),skaf68(cons(skaf64(nil),skaf67(nil))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f4608,plain,
    ( cons(skaf64(nil),skaf67(nil)) = app(app(skaf66(cons(skaf64(nil),skaf67(nil))),cons(skaf64(cons(skaf64(nil),skaf67(nil))),skaf67(cons(skaf64(nil),skaf67(nil))))),cons(skaf65(cons(skaf64(nil),skaf67(nil))),skaf68(cons(skaf64(nil),skaf67(nil)))))
    | totalorderedP(cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_148 ),
    inference(resolution,[],[f1377,f164]) ).

fof(f4647,plain,
    ( spl0_414
    | spl0_415
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f4638,f1376,f4644,f4640]) ).

fof(f4640,plain,
    ( spl0_414
  <=> cons(skaf64(nil),skaf67(nil)) = cons(skaf64(nil),tl(cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f4638,plain,
    ( nil = cons(skaf64(nil),skaf67(nil))
    | cons(skaf64(nil),skaf67(nil)) = cons(skaf64(nil),tl(cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_148 ),
    inference(forward_demodulation,[],[f4603,f2472]) ).

fof(f4603,plain,
    ( nil = cons(skaf64(nil),skaf67(nil))
    | cons(skaf64(nil),skaf67(nil)) = cons(hd(cons(skaf64(nil),skaf67(nil))),tl(cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_148 ),
    inference(resolution,[],[f1377,f104]) ).

fof(f4599,plain,
    ( ~ spl0_71
    | ~ spl0_69
    | ~ spl0_70
    | spl0_413
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4488,f678,f4596,f734,f726,f741]) ).

fof(f734,plain,
    ( spl0_70
  <=> ssList(skaf66(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f4596,plain,
    ( spl0_413
  <=> memberP(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),skaf64(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f4488,plain,
    ( memberP(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),skaf64(nil))
    | ~ ssList(skaf66(nil))
    | ~ ssList(skaf67(nil))
    | ~ ssItem(skaf64(nil))
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f198]) ).

fof(f4594,plain,
    ( spl0_402
    | spl0_412
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4493,f678,f4592,f4545]) ).

fof(f4545,plain,
    ( spl0_402
  <=> nil = app(skaf66(nil),cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f4592,plain,
    ( spl0_412
  <=> ! [X3] :
        ( ~ ssList(X3)
        | tl(app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),X3)) = app(tl(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f4493,plain,
    ( ! [X3] :
        ( ~ ssList(X3)
        | nil = app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))
        | tl(app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),X3)) = app(tl(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),X3) )
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f133]) ).

fof(f4590,plain,
    ( spl0_411
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4489,f678,f4587]) ).

fof(f4587,plain,
    ( spl0_411
  <=> app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),nil) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f4489,plain,
    ( app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),nil) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f73]) ).

fof(f4585,plain,
    ( spl0_410
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4490,f678,f4582]) ).

fof(f4582,plain,
    ( spl0_410
  <=> app(skaf66(nil),cons(skaf64(nil),skaf67(nil))) = app(nil,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f4490,plain,
    ( app(skaf66(nil),cons(skaf64(nil),skaf67(nil))) = app(nil,app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f74]) ).

fof(f4580,plain,
    ( spl0_409
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4507,f678,f308,f4577]) ).

fof(f4577,plain,
    ( spl0_409
  <=> cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) = app(cons(sk5,nil),app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f4507,plain,
    ( cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) = app(cons(sk5,nil),app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f598]) ).

fof(f4575,plain,
    ( spl0_408
    | spl0_402
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4492,f678,f4545,f4573]) ).

fof(f4573,plain,
    ( spl0_408
  <=> ! [X2] :
        ( ~ ssList(X2)
        | hd(app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),X2)) = hd(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f4492,plain,
    ( ! [X2] :
        ( nil = app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))
        | ~ ssList(X2)
        | hd(app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),X2)) = hd(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) )
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f123]) ).

fof(f4571,plain,
    ( spl0_407
    | spl0_402
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4506,f678,f4545,f4569]) ).

fof(f4569,plain,
    ( spl0_407
  <=> ! [X14] :
        ( ~ ssList(X14)
        | app(cons(hd(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),nil),X14) = cons(hd(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f4506,plain,
    ( ! [X14] :
        ( nil = app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))
        | ~ ssList(X14)
        | app(cons(hd(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),nil),X14) = cons(hd(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),X14) )
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f597]) ).

fof(f597,plain,
    ! [X10,X9] :
      ( ~ ssList(X10)
      | nil = X10
      | ~ ssList(X9)
      | app(cons(hd(X10),nil),X9) = cons(hd(X10),X9) ),
    inference(resolution,[],[f120,f76]) ).

fof(f4567,plain,
    ( spl0_406
    | ~ spl0_54
    | ~ spl0_60
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f4525,f2016,f678,f639,f4564]) ).

fof(f4564,plain,
    ( spl0_406
  <=> sk5 = hd(app(sk3,app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f4525,plain,
    ( sk5 = hd(app(sk3,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))
    | ~ spl0_54
    | ~ spl0_60
    | ~ spl0_194 ),
    inference(resolution,[],[f679,f2021]) ).

fof(f4562,plain,
    ( spl0_405
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4502,f678,f308,f4559]) ).

fof(f4559,plain,
    ( spl0_405
  <=> sk5 = hd(cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f4502,plain,
    ( sk5 = hd(cons(sk5,app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))
    | ~ spl0_17
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f553]) ).

fof(f4557,plain,
    ( spl0_403
    | spl0_404
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4495,f678,f4554,f4550]) ).

fof(f4550,plain,
    ( spl0_403
  <=> app(app(skaf71(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),cons(skaf69(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),skaf72(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))),cons(skaf70(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),skaf73(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f4554,plain,
    ( spl0_404
  <=> strictorderedP(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f4495,plain,
    ( strictorderedP(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))
    | app(app(skaf71(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),cons(skaf69(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),skaf72(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))),cons(skaf70(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),skaf73(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f163]) ).

fof(f4548,plain,
    ( spl0_401
    | spl0_402
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4491,f678,f4545,f4541]) ).

fof(f4541,plain,
    ( spl0_401
  <=> cons(hd(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),tl(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f4491,plain,
    ( nil = app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))
    | cons(hd(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),tl(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f104]) ).

fof(f4539,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | spl0_400
    | ~ spl0_69
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4535,f678,f726,f4537,f741,f734]) ).

fof(f4537,plain,
    ( spl0_400
  <=> ! [X0,X1] :
        ( ~ ssList(cons(X0,X1))
        | ~ totalorderedP(app(skaf66(nil),cons(skaf64(nil),app(skaf67(nil),cons(X0,X1)))))
        | leq(skaf64(nil),X0)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f4535,plain,
    ( ! [X0,X1] :
        ( ~ ssList(skaf67(nil))
        | ~ ssList(cons(X0,X1))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | leq(skaf64(nil),X0)
        | ~ totalorderedP(app(skaf66(nil),cons(skaf64(nil),app(skaf67(nil),cons(X0,X1)))))
        | ~ ssItem(skaf64(nil))
        | ~ ssList(skaf66(nil)) )
    | ~ spl0_60 ),
    inference(forward_subsumption_demodulation,[],[f4487,f813]) ).

fof(f813,plain,
    ! [X31,X28,X29,X30] :
      ( ~ ssItem(X29)
      | ~ ssList(X31)
      | ~ ssList(X28)
      | app(X28,cons(X29,app(X30,X31))) = app(app(X28,cons(X29,X30)),X31)
      | ~ ssList(X30) ),
    inference(forward_subsumption_demodulation,[],[f807,f157]) ).

fof(f807,plain,
    ! [X31,X28,X29,X30] :
      ( ~ ssList(X30)
      | ~ ssList(X31)
      | ~ ssItem(X29)
      | app(app(X28,cons(X29,X30)),X31) = app(X28,app(cons(X29,X30),X31))
      | ~ ssList(X28) ),
    inference(resolution,[],[f149,f86]) ).

fof(f4487,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(skaf64(nil))
        | ~ ssList(skaf66(nil))
        | ~ totalorderedP(app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),cons(X0,X1)))
        | ~ ssList(skaf67(nil))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | leq(skaf64(nil),X0)
        | ~ ssList(cons(X0,X1)) )
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f533]) ).

fof(f4534,plain,
    ( spl0_398
    | spl0_399
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4496,f678,f4531,f4527]) ).

fof(f4527,plain,
    ( spl0_398
  <=> totalorderedP(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f4531,plain,
    ( spl0_399
  <=> app(app(skaf66(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),cons(skaf64(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),skaf67(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))),cons(skaf65(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),skaf68(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f4496,plain,
    ( app(app(skaf66(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),cons(skaf64(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),skaf67(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))),cons(skaf65(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))),skaf68(app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))))) = app(skaf66(nil),cons(skaf64(nil),skaf67(nil)))
    | totalorderedP(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))
    | ~ spl0_60 ),
    inference(resolution,[],[f679,f164]) ).

fof(f4486,plain,
    ( ~ spl0_148
    | ~ spl0_397
    | ~ spl0_17
    | ~ spl0_70
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1669,f688,f734,f308,f4483,f1376]) ).

fof(f4483,plain,
    ( spl0_397
  <=> memberP(skaf66(nil),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f688,plain,
    ( spl0_62
  <=> memberP(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1669,plain,
    ( ~ ssList(skaf66(nil))
    | ~ ssItem(sk5)
    | ~ memberP(skaf66(nil),sk5)
    | ~ ssList(cons(skaf64(nil),skaf67(nil)))
    | spl0_62 ),
    inference(resolution,[],[f690,f140]) ).

fof(f690,plain,
    ( ~ memberP(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk5)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f4481,plain,
    ( ~ spl0_70
    | ~ spl0_17
    | ~ spl0_148
    | ~ spl0_396
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1668,f688,f4478,f1376,f308,f734]) ).

fof(f1668,plain,
    ( ~ memberP(cons(skaf64(nil),skaf67(nil)),sk5)
    | ~ ssList(cons(skaf64(nil),skaf67(nil)))
    | ~ ssItem(sk5)
    | ~ ssList(skaf66(nil))
    | spl0_62 ),
    inference(resolution,[],[f690,f141]) ).

fof(f4475,plain,
    ( spl0_148
    | ~ spl0_50
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f4474,f1281,f568,f1376]) ).

fof(f568,plain,
    ( spl0_50
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1281,plain,
    ( spl0_141
  <=> ssList(cons(skaf64(sk4),skaf67(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f4474,plain,
    ( ssList(cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_50
    | ~ spl0_141 ),
    inference(forward_demodulation,[],[f1282,f570]) ).

fof(f570,plain,
    ( nil = sk4
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f1282,plain,
    ( ssList(cons(skaf64(sk4),skaf67(sk4)))
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1281]) ).

fof(f4473,plain,
    ( ~ spl0_69
    | ~ spl0_71
    | spl0_148 ),
    inference(avatar_split_clause,[],[f4472,f1376,f741,f726]) ).

fof(f4472,plain,
    ( ~ ssItem(skaf64(nil))
    | ~ ssList(skaf67(nil))
    | spl0_148 ),
    inference(resolution,[],[f1378,f86]) ).

fof(f1378,plain,
    ( ~ ssList(cons(skaf64(nil),skaf67(nil)))
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f4471,plain,
    ( spl0_388
    | spl0_395
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4466,f1287,f4468,f4434]) ).

fof(f4434,plain,
    ( spl0_388
  <=> nil = cons(skaf64(sk3),skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f4468,plain,
    ( spl0_395
  <=> cons(skaf64(sk3),tl(cons(skaf64(sk3),skaf67(sk3)))) = cons(skaf64(sk3),skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f4466,plain,
    ( cons(skaf64(sk3),tl(cons(skaf64(sk3),skaf67(sk3)))) = cons(skaf64(sk3),skaf67(sk3))
    | nil = cons(skaf64(sk3),skaf67(sk3))
    | ~ spl0_142 ),
    inference(forward_demodulation,[],[f4368,f2472]) ).

fof(f4368,plain,
    ( cons(hd(cons(skaf64(sk3),skaf67(sk3))),tl(cons(skaf64(sk3),skaf67(sk3)))) = cons(skaf64(sk3),skaf67(sk3))
    | nil = cons(skaf64(sk3),skaf67(sk3))
    | ~ spl0_142 ),
    inference(resolution,[],[f1288,f104]) ).

fof(f4465,plain,
    ( spl0_393
    | spl0_394
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4372,f1287,f4462,f4458]) ).

fof(f4458,plain,
    ( spl0_393
  <=> strictorderedP(cons(skaf64(sk3),skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f4462,plain,
    ( spl0_394
  <=> app(app(skaf71(cons(skaf64(sk3),skaf67(sk3))),cons(skaf69(cons(skaf64(sk3),skaf67(sk3))),skaf72(cons(skaf64(sk3),skaf67(sk3))))),cons(skaf70(cons(skaf64(sk3),skaf67(sk3))),skaf73(cons(skaf64(sk3),skaf67(sk3))))) = cons(skaf64(sk3),skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f4372,plain,
    ( app(app(skaf71(cons(skaf64(sk3),skaf67(sk3))),cons(skaf69(cons(skaf64(sk3),skaf67(sk3))),skaf72(cons(skaf64(sk3),skaf67(sk3))))),cons(skaf70(cons(skaf64(sk3),skaf67(sk3))),skaf73(cons(skaf64(sk3),skaf67(sk3))))) = cons(skaf64(sk3),skaf67(sk3))
    | strictorderedP(cons(skaf64(sk3),skaf67(sk3)))
    | ~ spl0_142 ),
    inference(resolution,[],[f1288,f163]) ).

fof(f4456,plain,
    ( spl0_392
    | spl0_388
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4452,f1287,f4434,f4454]) ).

fof(f4454,plain,
    ( spl0_392
  <=> ! [X1] :
        ( ~ ssList(X1)
        | tl(cons(skaf64(sk3),app(skaf67(sk3),X1))) = app(tl(cons(skaf64(sk3),skaf67(sk3))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f4452,plain,
    ( ! [X1] :
        ( nil = cons(skaf64(sk3),skaf67(sk3))
        | ~ ssList(X1)
        | tl(cons(skaf64(sk3),app(skaf67(sk3),X1))) = app(tl(cons(skaf64(sk3),skaf67(sk3))),X1) )
    | ~ spl0_142 ),
    inference(forward_subsumption_demodulation,[],[f4370,f3700]) ).

fof(f4370,plain,
    ( ! [X1] :
        ( tl(app(cons(skaf64(sk3),skaf67(sk3)),X1)) = app(tl(cons(skaf64(sk3),skaf67(sk3))),X1)
        | nil = cons(skaf64(sk3),skaf67(sk3))
        | ~ ssList(X1) )
    | ~ spl0_142 ),
    inference(resolution,[],[f1288,f133]) ).

fof(f4451,plain,
    ( spl0_391
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4367,f1287,f4448]) ).

fof(f4448,plain,
    ( spl0_391
  <=> app(nil,cons(skaf64(sk3),skaf67(sk3))) = cons(skaf64(sk3),skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f4367,plain,
    ( app(nil,cons(skaf64(sk3),skaf67(sk3))) = cons(skaf64(sk3),skaf67(sk3))
    | ~ spl0_142 ),
    inference(resolution,[],[f1288,f74]) ).

fof(f4445,plain,
    ( spl0_390
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4366,f1287,f4442]) ).

fof(f4442,plain,
    ( spl0_390
  <=> app(cons(skaf64(sk3),skaf67(sk3)),nil) = cons(skaf64(sk3),skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f4366,plain,
    ( app(cons(skaf64(sk3),skaf67(sk3)),nil) = cons(skaf64(sk3),skaf67(sk3))
    | ~ spl0_142 ),
    inference(resolution,[],[f1288,f73]) ).

fof(f4440,plain,
    ( spl0_388
    | spl0_389
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4432,f1287,f4438,f4434]) ).

fof(f4438,plain,
    ( spl0_389
  <=> ! [X0] :
        ( ~ ssList(X0)
        | hd(cons(skaf64(sk3),app(skaf67(sk3),X0))) = skaf64(sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f4432,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | hd(cons(skaf64(sk3),app(skaf67(sk3),X0))) = skaf64(sk3)
        | nil = cons(skaf64(sk3),skaf67(sk3)) )
    | ~ spl0_142 ),
    inference(forward_subsumption_demodulation,[],[f4431,f3700]) ).

fof(f4431,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = cons(skaf64(sk3),skaf67(sk3))
        | skaf64(sk3) = hd(app(cons(skaf64(sk3),skaf67(sk3)),X0)) )
    | ~ spl0_142 ),
    inference(forward_demodulation,[],[f4369,f2472]) ).

fof(f4369,plain,
    ( ! [X0] :
        ( hd(cons(skaf64(sk3),skaf67(sk3))) = hd(app(cons(skaf64(sk3),skaf67(sk3)),X0))
        | ~ ssList(X0)
        | nil = cons(skaf64(sk3),skaf67(sk3)) )
    | ~ spl0_142 ),
    inference(resolution,[],[f1288,f123]) ).

fof(f4428,plain,
    ( spl0_386
    | spl0_387
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4373,f1287,f4425,f4421]) ).

fof(f4421,plain,
    ( spl0_386
  <=> app(app(skaf66(cons(skaf64(sk3),skaf67(sk3))),cons(skaf64(cons(skaf64(sk3),skaf67(sk3))),skaf67(cons(skaf64(sk3),skaf67(sk3))))),cons(skaf65(cons(skaf64(sk3),skaf67(sk3))),skaf68(cons(skaf64(sk3),skaf67(sk3))))) = cons(skaf64(sk3),skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f4425,plain,
    ( spl0_387
  <=> totalorderedP(cons(skaf64(sk3),skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f4373,plain,
    ( totalorderedP(cons(skaf64(sk3),skaf67(sk3)))
    | app(app(skaf66(cons(skaf64(sk3),skaf67(sk3))),cons(skaf64(cons(skaf64(sk3),skaf67(sk3))),skaf67(cons(skaf64(sk3),skaf67(sk3))))),cons(skaf65(cons(skaf64(sk3),skaf67(sk3))),skaf68(cons(skaf64(sk3),skaf67(sk3))))) = cons(skaf64(sk3),skaf67(sk3))
    | ~ spl0_142 ),
    inference(resolution,[],[f1288,f164]) ).

fof(f4419,plain,
    ( spl0_385
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4384,f1287,f308,f4416]) ).

fof(f4416,plain,
    ( spl0_385
  <=> app(cons(sk5,nil),cons(skaf64(sk3),skaf67(sk3))) = cons(sk5,cons(skaf64(sk3),skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f4384,plain,
    ( app(cons(sk5,nil),cons(skaf64(sk3),skaf67(sk3))) = cons(sk5,cons(skaf64(sk3),skaf67(sk3)))
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(resolution,[],[f1288,f598]) ).

fof(f4414,plain,
    ( spl0_384
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4379,f1287,f308,f4411]) ).

fof(f4411,plain,
    ( spl0_384
  <=> sk5 = hd(cons(sk5,cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f4379,plain,
    ( sk5 = hd(cons(sk5,cons(skaf64(sk3),skaf67(sk3))))
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(resolution,[],[f1288,f553]) ).

fof(f4407,plain,
    ( spl0_383
    | ~ spl0_54
    | ~ spl0_142
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f4402,f2016,f1287,f639,f4404]) ).

fof(f4404,plain,
    ( spl0_383
  <=> sk5 = hd(app(sk3,cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f4402,plain,
    ( sk5 = hd(app(sk3,cons(skaf64(sk3),skaf67(sk3))))
    | ~ spl0_54
    | ~ spl0_142
    | ~ spl0_194 ),
    inference(resolution,[],[f1288,f2021]) ).

fof(f4354,plain,
    ( ~ spl0_7
    | spl0_382
    | ~ spl0_44
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f4334,f2617,f474,f4352,f260]) ).

fof(f4352,plain,
    ( spl0_382
  <=> ! [X0,X1] :
        ( ~ ssList(cons(X0,X1))
        | leq(sk5,X0)
        | app(sk3,cons(X0,X1)) = app(app(skaf66(app(sk3,cons(X0,X1))),cons(skaf64(app(sk3,cons(X0,X1))),skaf67(app(sk3,cons(X0,X1))))),cons(skaf65(app(sk3,cons(X0,X1))),skaf68(app(sk3,cons(X0,X1)))))
        | ~ ssList(app(sk3,cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f474,plain,
    ( spl0_44
  <=> ! [X0,X1] :
        ( leq(skaf65(sk3),X0)
        | ~ totalorderedP(app(sk3,cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ ssList(app(sk3,cons(X0,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2617,plain,
    ( spl0_259
  <=> sk5 = skaf65(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f4334,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,X1))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ ssList(app(sk3,cons(X0,X1)))
        | app(sk3,cons(X0,X1)) = app(app(skaf66(app(sk3,cons(X0,X1))),cons(skaf64(app(sk3,cons(X0,X1))),skaf67(app(sk3,cons(X0,X1))))),cons(skaf65(app(sk3,cons(X0,X1))),skaf68(app(sk3,cons(X0,X1)))))
        | leq(sk5,X0)
        | ~ ssList(sk3) )
    | ~ spl0_44
    | ~ spl0_259 ),
    inference(resolution,[],[f536,f2855]) ).

fof(f2855,plain,
    ( ! [X0,X1] :
        ( ~ totalorderedP(app(sk3,cons(X0,X1)))
        | ~ ssList(X1)
        | leq(sk5,X0)
        | ~ ssList(app(sk3,cons(X0,X1)))
        | ~ ssItem(X0) )
    | ~ spl0_44
    | ~ spl0_259 ),
    inference(backward_demodulation,[],[f475,f2618]) ).

fof(f2618,plain,
    ( sk5 = skaf65(sk3)
    | ~ spl0_259 ),
    inference(avatar_component_clause,[],[f2617]) ).

fof(f475,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(sk3,cons(X0,X1)))
        | leq(skaf65(sk3),X0)
        | ~ totalorderedP(app(sk3,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f4331,plain,
    ( ~ spl0_122
    | ~ spl0_17
    | spl0_381
    | ~ spl0_7
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f4327,f2086,f260,f4329,f308,f1179]) ).

fof(f4329,plain,
    ( spl0_381
  <=> ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(cons(X1,X2))
        | ~ ssList(app(X0,sk3))
        | leq(sk5,X1)
        | ~ ssList(X2)
        | ~ totalorderedP(app(X0,app(sk3,cons(X1,X2)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f2086,plain,
    ( spl0_201
  <=> sk3 = cons(sk5,tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f4327,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ totalorderedP(app(X0,app(sk3,cons(X1,X2))))
        | ~ ssList(X2)
        | leq(sk5,X1)
        | ~ ssItem(sk5)
        | ~ ssList(tl(sk3))
        | ~ ssList(app(X0,sk3))
        | ~ ssList(cons(X1,X2))
        | ~ ssItem(X1) )
    | ~ spl0_7
    | ~ spl0_201 ),
    inference(forward_subsumption_demodulation,[],[f4305,f809]) ).

fof(f4305,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X2)
        | ~ ssList(app(X0,sk3))
        | ~ ssItem(sk5)
        | ~ ssItem(X1)
        | leq(sk5,X1)
        | ~ totalorderedP(app(app(X0,sk3),cons(X1,X2)))
        | ~ ssList(tl(sk3))
        | ~ ssList(X0)
        | ~ ssList(cons(X1,X2)) )
    | ~ spl0_201 ),
    inference(superposition,[],[f533,f2088]) ).

fof(f2088,plain,
    ( sk3 = cons(sk5,tl(sk3))
    | ~ spl0_201 ),
    inference(avatar_component_clause,[],[f2086]) ).

fof(f4324,plain,
    ( ~ spl0_261
    | ~ spl0_262
    | ~ spl0_143
    | spl0_380
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f4320,f448,f4322,f1291,f2700,f2696]) ).

fof(f4322,plain,
    ( spl0_380
  <=> ! [X6,X5] :
        ( leq(skaf64(sk3),X5)
        | ~ ssList(X6)
        | ~ totalorderedP(app(skaf66(sk3),cons(skaf64(sk3),app(skaf67(sk3),cons(X5,X6)))))
        | ~ ssList(cons(X5,X6))
        | ~ ssItem(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f4320,plain,
    ( ! [X6,X5] :
        ( leq(skaf64(sk3),X5)
        | ~ ssList(skaf66(sk3))
        | ~ ssItem(X5)
        | ~ ssItem(skaf64(sk3))
        | ~ ssList(cons(X5,X6))
        | ~ totalorderedP(app(skaf66(sk3),cons(skaf64(sk3),app(skaf67(sk3),cons(X5,X6)))))
        | ~ ssList(X6)
        | ~ ssList(skaf67(sk3)) )
    | ~ spl0_38 ),
    inference(forward_subsumption_demodulation,[],[f4304,f4211]) ).

fof(f4211,plain,
    ! [X16,X14,X17,X15] :
      ( app(app(X15,cons(skaf64(X16),X17)),X14) = app(X15,cons(skaf64(X16),app(X17,X14)))
      | ~ ssList(X17)
      | ~ ssList(X14)
      | ~ ssList(X15) ),
    inference(resolution,[],[f813,f31]) ).

fof(f4304,plain,
    ( ! [X6,X5] :
        ( ~ ssList(skaf66(sk3))
        | leq(skaf64(sk3),X5)
        | ~ ssItem(skaf64(sk3))
        | ~ ssList(skaf67(sk3))
        | ~ ssList(X6)
        | ~ totalorderedP(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(X5,X6)))
        | ~ ssItem(X5)
        | ~ ssList(cons(X5,X6)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f533,f449]) ).

fof(f4318,plain,
    ( ~ spl0_17
    | ~ spl0_7
    | ~ spl0_38
    | ~ spl0_42
    | spl0_379
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f4311,f3317,f4316,f465,f448,f260,f308]) ).

fof(f465,plain,
    ( spl0_42
  <=> ssList(skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f4316,plain,
    ( spl0_379
  <=> ! [X0,X1] :
        ( ~ ssList(X1)
        | leq(sk5,X0)
        | ~ ssList(cons(X0,X1))
        | ~ ssItem(X0)
        | ~ totalorderedP(app(sk3,cons(X0,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f3317,plain,
    ( spl0_307
  <=> sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(sk5,skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f4311,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ totalorderedP(app(sk3,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(skaf68(sk3))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(sk3)
        | ~ ssList(cons(X0,X1))
        | leq(sk5,X0)
        | ~ ssItem(sk5) )
    | ~ spl0_307 ),
    inference(superposition,[],[f533,f3319]) ).

fof(f3319,plain,
    ( sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(sk5,skaf68(sk3)))
    | ~ spl0_307 ),
    inference(avatar_component_clause,[],[f3317]) ).

fof(f4284,plain,
    ( ~ spl0_17
    | ~ spl0_371
    | ~ spl0_377
    | spl0_378
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f4269,f4236,f4281,f4277,f4226,f308]) ).

fof(f4226,plain,
    ( spl0_371
  <=> ssItem(hd(tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f4277,plain,
    ( spl0_377
  <=> leq(hd(tl(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f4281,plain,
    ( spl0_378
  <=> sk5 = hd(tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f4236,plain,
    ( spl0_373
  <=> leq(sk5,hd(tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f4269,plain,
    ( sk5 = hd(tl(sk3))
    | ~ leq(hd(tl(sk3)),sk5)
    | ~ ssItem(hd(tl(sk3)))
    | ~ ssItem(sk5)
    | ~ spl0_373 ),
    inference(resolution,[],[f4238,f130]) ).

fof(f130,axiom,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | ~ leq(X1,X0)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f4238,plain,
    ( leq(sk5,hd(tl(sk3)))
    | ~ spl0_373 ),
    inference(avatar_component_clause,[],[f4236]) ).

fof(f4275,plain,
    ( spl0_376
    | ~ spl0_17
    | ~ spl0_371
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f4268,f4236,f4226,f308,f4273]) ).

fof(f4273,plain,
    ( spl0_376
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | ~ leq(X0,sk5)
        | leq(X0,hd(tl(sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f4268,plain,
    ( ! [X0] :
        ( ~ ssItem(hd(tl(sk3)))
        | ~ ssItem(sk5)
        | ~ ssItem(X0)
        | leq(X0,hd(tl(sk3)))
        | ~ leq(X0,sk5) )
    | ~ spl0_373 ),
    inference(resolution,[],[f4238,f156]) ).

fof(f156,axiom,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f4271,plain,
    ( ~ spl0_17
    | spl0_2
    | ~ spl0_122
    | ~ spl0_184
    | spl0_131
    | ~ spl0_201
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f4270,f4236,f2086,f1218,f1903,f1179,f234,f308]) ).

fof(f234,plain,
    ( spl0_2
  <=> totalorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1903,plain,
    ( spl0_184
  <=> totalorderedP(tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f1218,plain,
    ( spl0_131
  <=> nil = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f4270,plain,
    ( nil = tl(sk3)
    | ~ totalorderedP(tl(sk3))
    | ~ ssList(tl(sk3))
    | totalorderedP(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_201
    | ~ spl0_373 ),
    inference(forward_demodulation,[],[f4266,f2088]) ).

fof(f4266,plain,
    ( ~ ssItem(sk5)
    | totalorderedP(cons(sk5,tl(sk3)))
    | ~ totalorderedP(tl(sk3))
    | ~ ssList(tl(sk3))
    | nil = tl(sk3)
    | ~ spl0_373 ),
    inference(resolution,[],[f4238,f159]) ).

fof(f4265,plain,
    ( spl0_375
    | spl0_340
    | ~ spl0_17
    | ~ spl0_261
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f4258,f4051,f2696,f308,f3660,f4262]) ).

fof(f4262,plain,
    ( spl0_375
  <=> strictorderedP(skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f4051,plain,
    ( spl0_367
  <=> strictorderedP(cons(sk5,skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f4258,plain,
    ( ~ ssList(skaf67(sk3))
    | ~ ssItem(sk5)
    | nil = skaf67(sk3)
    | strictorderedP(skaf67(sk3))
    | ~ spl0_367 ),
    inference(resolution,[],[f4053,f124]) ).

fof(f4053,plain,
    ( strictorderedP(cons(sk5,skaf67(sk3)))
    | ~ spl0_367 ),
    inference(avatar_component_clause,[],[f4051]) ).

fof(f4260,plain,
    ( ~ spl0_17
    | spl0_356
    | spl0_340
    | ~ spl0_261
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f4259,f4051,f2696,f3660,f3958,f308]) ).

fof(f4259,plain,
    ( ~ ssList(skaf67(sk3))
    | nil = skaf67(sk3)
    | lt(sk5,hd(skaf67(sk3)))
    | ~ ssItem(sk5)
    | ~ spl0_367 ),
    inference(resolution,[],[f4053,f134]) ).

fof(f4245,plain,
    ( spl0_131
    | ~ spl0_122
    | spl0_371 ),
    inference(avatar_split_clause,[],[f4244,f4226,f1179,f1218]) ).

fof(f4244,plain,
    ( ~ ssList(tl(sk3))
    | nil = tl(sk3)
    | spl0_371 ),
    inference(resolution,[],[f4228,f76]) ).

fof(f4228,plain,
    ( ~ ssItem(hd(tl(sk3)))
    | spl0_371 ),
    inference(avatar_component_clause,[],[f4226]) ).

fof(f4243,plain,
    ( ~ spl0_371
    | spl0_374
    | ~ spl0_17
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f4218,f2059,f308,f4241,f4226]) ).

fof(f4241,plain,
    ( spl0_374
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | lt(X1,hd(tl(sk3)))
        | ~ leq(X1,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f2059,plain,
    ( spl0_196
  <=> lt(sk5,hd(tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f4218,plain,
    ( ! [X1] :
        ( ~ ssItem(sk5)
        | ~ ssItem(X1)
        | ~ leq(X1,sk5)
        | ~ ssItem(hd(tl(sk3)))
        | lt(X1,hd(tl(sk3))) )
    | ~ spl0_196 ),
    inference(resolution,[],[f2060,f147]) ).

fof(f2060,plain,
    ( lt(sk5,hd(tl(sk3)))
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f2059]) ).

fof(f4239,plain,
    ( ~ spl0_17
    | spl0_373
    | ~ spl0_371
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f4220,f2059,f4226,f4236,f308]) ).

fof(f4220,plain,
    ( ~ ssItem(hd(tl(sk3)))
    | leq(sk5,hd(tl(sk3)))
    | ~ ssItem(sk5)
    | ~ spl0_196 ),
    inference(resolution,[],[f2060,f103]) ).

fof(f4233,plain,
    ( ~ spl0_371
    | ~ spl0_17
    | spl0_372
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f4217,f2059,f4231,f308,f4226]) ).

fof(f4231,plain,
    ( spl0_372
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | ~ lt(hd(tl(sk3)),X0)
        | lt(sk5,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f4217,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ ssItem(sk5)
        | ~ ssItem(hd(tl(sk3)))
        | lt(sk5,X0)
        | ~ lt(hd(tl(sk3)),X0) )
    | ~ spl0_196 ),
    inference(resolution,[],[f2060,f155]) ).

fof(f4229,plain,
    ( ~ spl0_370
    | ~ spl0_371
    | ~ spl0_17
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f4219,f2059,f308,f4226,f4222]) ).

fof(f4222,plain,
    ( spl0_370
  <=> lt(hd(tl(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f4219,plain,
    ( ~ ssItem(sk5)
    | ~ ssItem(hd(tl(sk3)))
    | ~ lt(hd(tl(sk3)),sk5)
    | ~ spl0_196 ),
    inference(resolution,[],[f2060,f114]) ).

fof(f4181,plain,
    ( ~ spl0_297
    | ~ spl0_38
    | spl0_369
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f4169,f3317,f4179,f448,f3236]) ).

fof(f4179,plain,
    ( spl0_369
  <=> ! [X26] :
        ( ~ ssList(X26)
        | nil = X26
        | ~ memberP(sk3,hd(X26))
        | memberP(cons(sk5,skaf68(sk3)),hd(X26))
        | memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),hd(X26)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f4169,plain,
    ( ! [X26] :
        ( ~ ssList(X26)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),hd(X26))
        | memberP(cons(sk5,skaf68(sk3)),hd(X26))
        | ~ memberP(sk3,hd(X26))
        | nil = X26
        | ~ ssList(cons(sk5,skaf68(sk3))) )
    | ~ spl0_307 ),
    inference(superposition,[],[f527,f3319]) ).

fof(f4096,plain,
    ( spl0_316
    | spl0_315
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3517,f3164,f3455,f3459]) ).

fof(f3455,plain,
    ( spl0_315
  <=> app(app(skaf66(cons(sk5,skaf67(sk3))),cons(skaf64(cons(sk5,skaf67(sk3))),skaf67(cons(sk5,skaf67(sk3))))),cons(skaf65(cons(sk5,skaf67(sk3))),skaf68(cons(sk5,skaf67(sk3))))) = cons(sk5,skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f3517,plain,
    ( app(app(skaf66(cons(sk5,skaf67(sk3))),cons(skaf64(cons(sk5,skaf67(sk3))),skaf67(cons(sk5,skaf67(sk3))))),cons(skaf65(cons(sk5,skaf67(sk3))),skaf68(cons(sk5,skaf67(sk3))))) = cons(sk5,skaf67(sk3))
    | totalorderedP(cons(sk5,skaf67(sk3)))
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f164]) ).

fof(f4095,plain,
    ( ~ spl0_261
    | spl0_340
    | spl0_352 ),
    inference(avatar_split_clause,[],[f4094,f3941,f3660,f2696]) ).

fof(f4094,plain,
    ( nil = skaf67(sk3)
    | ~ ssList(skaf67(sk3))
    | spl0_352 ),
    inference(resolution,[],[f3943,f76]) ).

fof(f3943,plain,
    ( ~ ssItem(hd(skaf67(sk3)))
    | spl0_352 ),
    inference(avatar_component_clause,[],[f3941]) ).

fof(f4061,plain,
    ( ~ spl0_133
    | spl0_368
    | spl0_53
    | ~ spl0_7
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2117,f2016,f260,f582,f4059,f1226]) ).

fof(f1226,plain,
    ( spl0_133
  <=> strictorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f4059,plain,
    ( spl0_368
  <=> ! [X2] :
        ( ~ lt(X2,sk5)
        | strictorderedP(cons(X2,sk3))
        | ~ ssItem(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f2117,plain,
    ( ! [X2] :
        ( ~ ssList(sk3)
        | nil = sk3
        | ~ lt(X2,sk5)
        | ~ ssItem(X2)
        | ~ strictorderedP(sk3)
        | strictorderedP(cons(X2,sk3)) )
    | ~ spl0_194 ),
    inference(superposition,[],[f160,f2018]) ).

fof(f4057,plain,
    ( ~ spl0_17
    | spl0_196
    | spl0_131
    | ~ spl0_122
    | ~ spl0_133
    | ~ spl0_52
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f4056,f2016,f578,f1226,f1179,f1218,f2059,f308]) ).

fof(f578,plain,
    ( spl0_52
  <=> sk3 = cons(hd(sk3),tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f4056,plain,
    ( ~ strictorderedP(sk3)
    | ~ ssList(tl(sk3))
    | nil = tl(sk3)
    | lt(sk5,hd(tl(sk3)))
    | ~ ssItem(sk5)
    | ~ spl0_52
    | ~ spl0_194 ),
    inference(forward_demodulation,[],[f4055,f2018]) ).

fof(f4055,plain,
    ( lt(sk5,hd(tl(sk3)))
    | ~ ssList(tl(sk3))
    | ~ strictorderedP(sk3)
    | ~ ssItem(hd(sk3))
    | nil = tl(sk3)
    | ~ spl0_52
    | ~ spl0_194 ),
    inference(forward_demodulation,[],[f1983,f2018]) ).

fof(f1983,plain,
    ( lt(hd(sk3),hd(tl(sk3)))
    | ~ strictorderedP(sk3)
    | ~ ssItem(hd(sk3))
    | nil = tl(sk3)
    | ~ ssList(tl(sk3))
    | ~ spl0_52 ),
    inference(superposition,[],[f134,f580]) ).

fof(f580,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f4054,plain,
    ( spl0_366
    | spl0_367
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3997,f3164,f4051,f4047]) ).

fof(f4047,plain,
    ( spl0_366
  <=> cons(sk5,skaf67(sk3)) = app(app(skaf71(cons(sk5,skaf67(sk3))),cons(skaf69(cons(sk5,skaf67(sk3))),skaf72(cons(sk5,skaf67(sk3))))),cons(skaf70(cons(sk5,skaf67(sk3))),skaf73(cons(sk5,skaf67(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f3997,plain,
    ( strictorderedP(cons(sk5,skaf67(sk3)))
    | cons(sk5,skaf67(sk3)) = app(app(skaf71(cons(sk5,skaf67(sk3))),cons(skaf69(cons(sk5,skaf67(sk3))),skaf72(cons(sk5,skaf67(sk3))))),cons(skaf70(cons(sk5,skaf67(sk3))),skaf73(cons(sk5,skaf67(sk3)))))
    | ~ spl0_293 ),
    inference(resolution,[],[f163,f3166]) ).

fof(f4045,plain,
    ( spl0_364
    | spl0_365
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f4002,f1179,f4042,f4038]) ).

fof(f4038,plain,
    ( spl0_364
  <=> strictorderedP(tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f4042,plain,
    ( spl0_365
  <=> app(app(skaf71(tl(sk3)),cons(skaf69(tl(sk3)),skaf72(tl(sk3)))),cons(skaf70(tl(sk3)),skaf73(tl(sk3)))) = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f4002,plain,
    ( app(app(skaf71(tl(sk3)),cons(skaf69(tl(sk3)),skaf72(tl(sk3)))),cons(skaf70(tl(sk3)),skaf73(tl(sk3)))) = tl(sk3)
    | strictorderedP(tl(sk3))
    | ~ spl0_122 ),
    inference(resolution,[],[f163,f1180]) ).

fof(f4036,plain,
    ( spl0_347
    | spl0_363
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f3996,f3236,f4033,f3780]) ).

fof(f3780,plain,
    ( spl0_347
  <=> strictorderedP(cons(sk5,skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f4033,plain,
    ( spl0_363
  <=> app(app(skaf71(cons(sk5,skaf68(sk3))),cons(skaf69(cons(sk5,skaf68(sk3))),skaf72(cons(sk5,skaf68(sk3))))),cons(skaf70(cons(sk5,skaf68(sk3))),skaf73(cons(sk5,skaf68(sk3))))) = cons(sk5,skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f3996,plain,
    ( app(app(skaf71(cons(sk5,skaf68(sk3))),cons(skaf69(cons(sk5,skaf68(sk3))),skaf72(cons(sk5,skaf68(sk3))))),cons(skaf70(cons(sk5,skaf68(sk3))),skaf73(cons(sk5,skaf68(sk3))))) = cons(sk5,skaf68(sk3))
    | strictorderedP(cons(sk5,skaf68(sk3)))
    | ~ spl0_297 ),
    inference(resolution,[],[f163,f3237]) ).

fof(f4031,plain,
    ( spl0_361
    | spl0_362
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f4000,f448,f4028,f4024]) ).

fof(f4024,plain,
    ( spl0_361
  <=> strictorderedP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f4028,plain,
    ( spl0_362
  <=> app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(app(skaf71(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),cons(skaf69(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),skaf72(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))),cons(skaf70(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),skaf73(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f4000,plain,
    ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(app(skaf71(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),cons(skaf69(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),skaf72(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))),cons(skaf70(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),skaf73(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))))
    | strictorderedP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | ~ spl0_38 ),
    inference(resolution,[],[f163,f449]) ).

fof(f4022,plain,
    ( spl0_210
    | spl0_360
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f3998,f2170,f4019,f2178]) ).

fof(f2178,plain,
    ( spl0_210
  <=> strictorderedP(cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f4019,plain,
    ( spl0_360
  <=> cons(sk5,sk3) = app(app(skaf71(cons(sk5,sk3)),cons(skaf69(cons(sk5,sk3)),skaf72(cons(sk5,sk3)))),cons(skaf70(cons(sk5,sk3)),skaf73(cons(sk5,sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f3998,plain,
    ( cons(sk5,sk3) = app(app(skaf71(cons(sk5,sk3)),cons(skaf69(cons(sk5,sk3)),skaf72(cons(sk5,sk3)))),cons(skaf70(cons(sk5,sk3)),skaf73(cons(sk5,sk3))))
    | strictorderedP(cons(sk5,sk3))
    | ~ spl0_208 ),
    inference(resolution,[],[f163,f2171]) ).

fof(f4017,plain,
    ( spl0_133
    | spl0_359
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f4003,f260,f4014,f1226]) ).

fof(f4014,plain,
    ( spl0_359
  <=> sk3 = app(app(skaf71(sk3),cons(skaf69(sk3),skaf72(sk3))),cons(skaf70(sk3),skaf73(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f4003,plain,
    ( sk3 = app(app(skaf71(sk3),cons(skaf69(sk3),skaf72(sk3))),cons(skaf70(sk3),skaf73(sk3)))
    | strictorderedP(sk3)
    | ~ spl0_7 ),
    inference(resolution,[],[f163,f262]) ).

fof(f4012,plain,
    ( spl0_357
    | spl0_358
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f3994,f713,f4009,f4005]) ).

fof(f3994,plain,
    ( strictorderedP(cons(skaf65(nil),skaf68(nil)))
    | cons(skaf65(nil),skaf68(nil)) = app(app(skaf71(cons(skaf65(nil),skaf68(nil))),cons(skaf69(cons(skaf65(nil),skaf68(nil))),skaf72(cons(skaf65(nil),skaf68(nil))))),cons(skaf70(cons(skaf65(nil),skaf68(nil))),skaf73(cons(skaf65(nil),skaf68(nil)))))
    | ~ spl0_67 ),
    inference(resolution,[],[f163,f714]) ).

fof(f3961,plain,
    ( spl0_356
    | ~ spl0_17
    | spl0_355
    | ~ spl0_352
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f3937,f3669,f3941,f3953,f308,f3958]) ).

fof(f3953,plain,
    ( spl0_355
  <=> sk5 = hd(skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f3937,plain,
    ( ~ ssItem(hd(skaf67(sk3)))
    | sk5 = hd(skaf67(sk3))
    | ~ ssItem(sk5)
    | lt(sk5,hd(skaf67(sk3)))
    | ~ spl0_342 ),
    inference(resolution,[],[f3671,f122]) ).

fof(f122,axiom,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ ssItem(X1)
      | lt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f3956,plain,
    ( ~ spl0_354
    | spl0_355
    | ~ spl0_17
    | ~ spl0_352
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f3939,f3669,f3941,f308,f3953,f3949]) ).

fof(f3949,plain,
    ( spl0_354
  <=> leq(hd(skaf67(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f3939,plain,
    ( ~ ssItem(hd(skaf67(sk3)))
    | ~ ssItem(sk5)
    | sk5 = hd(skaf67(sk3))
    | ~ leq(hd(skaf67(sk3)),sk5)
    | ~ spl0_342 ),
    inference(resolution,[],[f3671,f130]) ).

fof(f3947,plain,
    ( ~ spl0_17
    | ~ spl0_352
    | spl0_353
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f3938,f3669,f3945,f3941,f308]) ).

fof(f3945,plain,
    ( spl0_353
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | leq(X0,hd(skaf67(sk3)))
        | ~ leq(X0,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f3938,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ leq(X0,sk5)
        | leq(X0,hd(skaf67(sk3)))
        | ~ ssItem(hd(skaf67(sk3)))
        | ~ ssItem(sk5) )
    | ~ spl0_342 ),
    inference(resolution,[],[f3671,f156]) ).

fof(f3865,plain,
    ( spl0_274
    | spl0_351
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f3847,f448,f3863,f2931]) ).

fof(f2931,plain,
    ( spl0_274
  <=> nil = app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f3863,plain,
    ( spl0_351
  <=> ! [X30] :
        ( ~ ssList(X30)
        | app(cons(hd(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),nil),X30) = cons(hd(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f3847,plain,
    ( ! [X30] :
        ( ~ ssList(X30)
        | nil = app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))
        | app(cons(hd(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),nil),X30) = cons(hd(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),X30) )
    | ~ spl0_38 ),
    inference(resolution,[],[f597,f449]) ).

fof(f3860,plain,
    ( spl0_131
    | spl0_350
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f3849,f1179,f3858,f1218]) ).

fof(f3858,plain,
    ( spl0_350
  <=> ! [X33] :
        ( ~ ssList(X33)
        | cons(hd(tl(sk3)),X33) = app(cons(hd(tl(sk3)),nil),X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f3849,plain,
    ( ! [X33] :
        ( ~ ssList(X33)
        | cons(hd(tl(sk3)),X33) = app(cons(hd(tl(sk3)),nil),X33)
        | nil = tl(sk3) )
    | ~ spl0_122 ),
    inference(resolution,[],[f597,f1180]) ).

fof(f3792,plain,
    ( ~ spl0_349
    | ~ spl0_328
    | ~ spl0_17
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f3769,f3549,f308,f3553,f3789]) ).

fof(f3789,plain,
    ( spl0_349
  <=> lt(hd(skaf68(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f3553,plain,
    ( spl0_328
  <=> ssItem(hd(skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f3549,plain,
    ( spl0_327
  <=> lt(sk5,hd(skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f3769,plain,
    ( ~ ssItem(sk5)
    | ~ ssItem(hd(skaf68(sk3)))
    | ~ lt(hd(skaf68(sk3)),sk5)
    | ~ spl0_327 ),
    inference(resolution,[],[f3551,f114]) ).

fof(f3551,plain,
    ( lt(sk5,hd(skaf68(sk3)))
    | ~ spl0_327 ),
    inference(avatar_component_clause,[],[f3549]) ).

fof(f3787,plain,
    ( ~ spl0_328
    | spl0_348
    | ~ spl0_17
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f3768,f3549,f308,f3785,f3553]) ).

fof(f3785,plain,
    ( spl0_348
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | lt(X1,hd(skaf68(sk3)))
        | ~ leq(X1,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f3768,plain,
    ( ! [X1] :
        ( ~ ssItem(sk5)
        | ~ ssItem(X1)
        | ~ leq(X1,sk5)
        | lt(X1,hd(skaf68(sk3)))
        | ~ ssItem(hd(skaf68(sk3))) )
    | ~ spl0_327 ),
    inference(resolution,[],[f3551,f147]) ).

fof(f3783,plain,
    ( ~ spl0_42
    | spl0_101
    | ~ spl0_346
    | ~ spl0_17
    | spl0_347
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f3766,f3549,f3780,f308,f3776,f1036,f465]) ).

fof(f1036,plain,
    ( spl0_101
  <=> nil = skaf68(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f3776,plain,
    ( spl0_346
  <=> strictorderedP(skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f3766,plain,
    ( strictorderedP(cons(sk5,skaf68(sk3)))
    | ~ ssItem(sk5)
    | ~ strictorderedP(skaf68(sk3))
    | nil = skaf68(sk3)
    | ~ ssList(skaf68(sk3))
    | ~ spl0_327 ),
    inference(resolution,[],[f3551,f160]) ).

fof(f3774,plain,
    ( ~ spl0_328
    | ~ spl0_17
    | spl0_345
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f3767,f3549,f3772,f308,f3553]) ).

fof(f3772,plain,
    ( spl0_345
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | ~ lt(hd(skaf68(sk3)),X0)
        | lt(sk5,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f3767,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ ssItem(sk5)
        | lt(sk5,X0)
        | ~ lt(hd(skaf68(sk3)),X0)
        | ~ ssItem(hd(skaf68(sk3))) )
    | ~ spl0_327 ),
    inference(resolution,[],[f3551,f155]) ).

fof(f3765,plain,
    ( ~ spl0_297
    | ~ spl0_38
    | spl0_344
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f3757,f3317,f3763,f448,f3236]) ).

fof(f3763,plain,
    ( spl0_344
  <=> ! [X26] :
        ( ~ memberP(sk3,skaf64(X26))
        | memberP(cons(sk5,skaf68(sk3)),skaf64(X26))
        | memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),skaf64(X26)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f3757,plain,
    ( ! [X26] :
        ( ~ memberP(sk3,skaf64(X26))
        | memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),skaf64(X26))
        | memberP(cons(sk5,skaf68(sk3)),skaf64(X26))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(cons(sk5,skaf68(sk3))) )
    | ~ spl0_307 ),
    inference(superposition,[],[f359,f3319]) ).

fof(f3742,plain,
    ( ~ spl0_297
    | spl0_343
    | ~ spl0_38
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f3733,f3317,f448,f3740,f3236]) ).

fof(f3740,plain,
    ( spl0_343
  <=> ! [X26] :
        ( memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),skaf65(X26))
        | ~ memberP(sk3,skaf65(X26))
        | memberP(cons(sk5,skaf68(sk3)),skaf65(X26)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f3733,plain,
    ( ! [X26] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),skaf65(X26))
        | ~ ssList(cons(sk5,skaf68(sk3)))
        | memberP(cons(sk5,skaf68(sk3)),skaf65(X26))
        | ~ memberP(sk3,skaf65(X26)) )
    | ~ spl0_307 ),
    inference(superposition,[],[f357,f3319]) ).

fof(f3672,plain,
    ( ~ spl0_17
    | spl0_342
    | spl0_340
    | ~ spl0_261
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f3657,f3459,f2696,f3660,f3669,f308]) ).

fof(f3657,plain,
    ( ~ ssList(skaf67(sk3))
    | nil = skaf67(sk3)
    | leq(sk5,hd(skaf67(sk3)))
    | ~ ssItem(sk5)
    | ~ spl0_316 ),
    inference(resolution,[],[f3461,f135]) ).

fof(f135,axiom,
    ! [X0,X1] :
      ( ~ totalorderedP(cons(X0,X1))
      | leq(X0,hd(X1))
      | nil = X1
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f3461,plain,
    ( totalorderedP(cons(sk5,skaf67(sk3)))
    | ~ spl0_316 ),
    inference(avatar_component_clause,[],[f3459]) ).

fof(f3667,plain,
    ( ~ spl0_17
    | spl0_340
    | spl0_341
    | ~ spl0_261
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f3658,f3459,f2696,f3664,f3660,f308]) ).

fof(f3658,plain,
    ( ~ ssList(skaf67(sk3))
    | totalorderedP(skaf67(sk3))
    | nil = skaf67(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_316 ),
    inference(resolution,[],[f3461,f125]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ totalorderedP(cons(X0,X1))
      | nil = X1
      | totalorderedP(X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f3655,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | spl0_339
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f3646,f470,f3653,f1291,f1287]) ).

fof(f3653,plain,
    ( spl0_339
  <=> ! [X0] :
        ( ~ memberP(cons(skaf64(sk3),skaf67(sk3)),X0)
        | memberP(sk3,X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f3646,plain,
    ( ! [X0] :
        ( ~ memberP(cons(skaf64(sk3),skaf67(sk3)),X0)
        | ~ ssItem(X0)
        | memberP(sk3,X0)
        | ~ ssList(skaf66(sk3))
        | ~ ssList(cons(skaf64(sk3),skaf67(sk3))) )
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f3643]) ).

fof(f3643,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | memberP(sk3,X0)
        | ~ ssList(skaf66(sk3))
        | ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
        | ~ ssItem(X0)
        | ~ memberP(cons(skaf64(sk3),skaf67(sk3)),X0) )
    | ~ spl0_43 ),
    inference(resolution,[],[f471,f141]) ).

fof(f3651,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | spl0_338
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f3647,f470,f3649,f1291,f1287]) ).

fof(f3649,plain,
    ( spl0_338
  <=> ! [X1] :
        ( memberP(sk3,X1)
        | ~ memberP(skaf66(sk3),X1)
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f3647,plain,
    ( ! [X1] :
        ( memberP(sk3,X1)
        | ~ ssList(skaf66(sk3))
        | ~ ssItem(X1)
        | ~ memberP(skaf66(sk3),X1)
        | ~ ssList(cons(skaf64(sk3),skaf67(sk3))) )
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f3644]) ).

fof(f3644,plain,
    ( ! [X1] :
        ( ~ ssItem(X1)
        | ~ ssItem(X1)
        | ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
        | ~ ssList(skaf66(sk3))
        | memberP(sk3,X1)
        | ~ memberP(skaf66(sk3),X1) )
    | ~ spl0_43 ),
    inference(resolution,[],[f471,f140]) ).

fof(f3642,plain,
    ( spl0_337
    | ~ spl0_17
    | ~ spl0_42
    | ~ spl0_39
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3637,f2617,f453,f465,f308,f3640]) ).

fof(f3640,plain,
    ( spl0_337
  <=> ! [X0] :
        ( memberP(sk3,X0)
        | ~ memberP(skaf68(sk3),X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f453,plain,
    ( spl0_39
  <=> ! [X2] :
        ( ~ memberP(cons(skaf65(sk3),skaf68(sk3)),X2)
        | memberP(sk3,X2)
        | ~ ssItem(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f3637,plain,
    ( ! [X0] :
        ( ~ ssList(skaf68(sk3))
        | ~ ssItem(sk5)
        | memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ memberP(skaf68(sk3),X0) )
    | ~ spl0_39
    | ~ spl0_259 ),
    inference(duplicate_literal_removal,[],[f3636]) ).

fof(f3636,plain,
    ( ! [X0] :
        ( ~ memberP(skaf68(sk3),X0)
        | ~ ssItem(X0)
        | ~ ssItem(sk5)
        | memberP(sk3,X0)
        | ~ ssList(skaf68(sk3))
        | ~ ssItem(X0) )
    | ~ spl0_39
    | ~ spl0_259 ),
    inference(resolution,[],[f3243,f139]) ).

fof(f3243,plain,
    ( ! [X2] :
        ( ~ memberP(cons(sk5,skaf68(sk3)),X2)
        | ~ ssItem(X2)
        | memberP(sk3,X2) )
    | ~ spl0_39
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f454,f2618]) ).

fof(f454,plain,
    ( ! [X2] :
        ( ~ memberP(cons(skaf65(sk3),skaf68(sk3)),X2)
        | ~ ssItem(X2)
        | memberP(sk3,X2) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f3623,plain,
    ( spl0_336
    | ~ spl0_38
    | ~ spl0_35
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f3600,f1451,f436,f448,f3621]) ).

fof(f3621,plain,
    ( spl0_336
  <=> ! [X1] :
        ( app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1) = app(skaf42(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1),sk5),cons(sk5,skaf43(sk5,app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1))))
        | ~ ssList(X1)
        | ~ ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f436,plain,
    ( spl0_35
  <=> memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3600,plain,
    ( ! [X1] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1) = app(skaf42(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1),sk5),cons(sk5,skaf43(sk5,app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1))))
        | ~ ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1))
        | ~ ssList(X1) )
    | ~ spl0_35
    | ~ spl0_159 ),
    inference(resolution,[],[f438,f1452]) ).

fof(f438,plain,
    ( memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk5)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f3619,plain,
    ( spl0_334
    | ~ spl0_143
    | spl0_335
    | ~ spl0_142
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f3598,f436,f308,f1287,f3616,f1291,f3612]) ).

fof(f3598,plain,
    ( ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
    | memberP(cons(skaf64(sk3),skaf67(sk3)),sk5)
    | ~ ssList(skaf66(sk3))
    | memberP(skaf66(sk3),sk5)
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(resolution,[],[f438,f326]) ).

fof(f3610,plain,
    ( ~ spl0_38
    | spl0_333
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f3601,f436,f308,f3607,f448]) ).

fof(f3607,plain,
    ( spl0_333
  <=> app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(skaf42(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk5),cons(sk5,skaf43(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f3601,plain,
    ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(skaf42(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk5),cons(sk5,skaf43(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))))
    | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(resolution,[],[f438,f333]) ).

fof(f3605,plain,
    ( spl0_332
    | ~ spl0_38
    | ~ spl0_35
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f3599,f1459,f436,f448,f3603]) ).

fof(f3603,plain,
    ( spl0_332
  <=> ! [X0] :
        ( app(X0,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) = app(skaf42(app(X0,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),sk5),cons(sk5,skaf43(sk5,app(X0,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))))
        | ~ ssList(X0)
        | ~ ssList(app(X0,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f3599,plain,
    ( ! [X0] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | app(X0,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) = app(skaf42(app(X0,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),sk5),cons(sk5,skaf43(sk5,app(X0,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))))
        | ~ ssList(app(X0,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))
        | ~ ssList(X0) )
    | ~ spl0_35
    | ~ spl0_161 ),
    inference(resolution,[],[f438,f1460]) ).

fof(f3597,plain,
    ( spl0_274
    | spl0_331
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f3573,f448,f3595,f2931]) ).

fof(f3595,plain,
    ( spl0_331
  <=> ! [X1] :
        ( ~ ssList(X1)
        | tl(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)) = app(tl(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f3573,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | nil = app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))
        | tl(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)) = app(tl(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),X1) )
    | ~ spl0_38 ),
    inference(resolution,[],[f449,f133]) ).

fof(f3567,plain,
    ( ~ spl0_42
    | spl0_101
    | spl0_328 ),
    inference(avatar_split_clause,[],[f3566,f3553,f1036,f465]) ).

fof(f3566,plain,
    ( nil = skaf68(sk3)
    | ~ ssList(skaf68(sk3))
    | spl0_328 ),
    inference(resolution,[],[f3555,f76]) ).

fof(f3555,plain,
    ( ~ ssItem(hd(skaf68(sk3)))
    | spl0_328 ),
    inference(avatar_component_clause,[],[f3553]) ).

fof(f3565,plain,
    ( spl0_326
    | ~ spl0_328
    | ~ spl0_330
    | ~ spl0_17
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f3543,f2882,f308,f3562,f3553,f3545]) ).

fof(f3545,plain,
    ( spl0_326
  <=> sk5 = hd(skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f3562,plain,
    ( spl0_330
  <=> leq(hd(skaf68(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f2882,plain,
    ( spl0_269
  <=> leq(sk5,hd(skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f3543,plain,
    ( ~ ssItem(sk5)
    | ~ leq(hd(skaf68(sk3)),sk5)
    | ~ ssItem(hd(skaf68(sk3)))
    | sk5 = hd(skaf68(sk3))
    | ~ spl0_269 ),
    inference(resolution,[],[f2884,f130]) ).

fof(f2884,plain,
    ( leq(sk5,hd(skaf68(sk3)))
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f2882]) ).

fof(f3560,plain,
    ( ~ spl0_328
    | ~ spl0_17
    | spl0_329
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f3542,f2882,f3558,f308,f3553]) ).

fof(f3558,plain,
    ( spl0_329
  <=> ! [X0] :
        ( leq(X0,hd(skaf68(sk3)))
        | ~ ssItem(X0)
        | ~ leq(X0,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f3542,plain,
    ( ! [X0] :
        ( leq(X0,hd(skaf68(sk3)))
        | ~ leq(X0,sk5)
        | ~ ssItem(sk5)
        | ~ ssItem(X0)
        | ~ ssItem(hd(skaf68(sk3))) )
    | ~ spl0_269 ),
    inference(resolution,[],[f2884,f156]) ).

fof(f3556,plain,
    ( ~ spl0_17
    | spl0_326
    | spl0_327
    | ~ spl0_328
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f3541,f2882,f3553,f3549,f3545,f308]) ).

fof(f3541,plain,
    ( ~ ssItem(hd(skaf68(sk3)))
    | lt(sk5,hd(skaf68(sk3)))
    | sk5 = hd(skaf68(sk3))
    | ~ ssItem(sk5)
    | ~ spl0_269 ),
    inference(resolution,[],[f2884,f122]) ).

fof(f3508,plain,
    ( ~ spl0_261
    | ~ spl0_17
    | spl0_293 ),
    inference(avatar_split_clause,[],[f3507,f3164,f308,f2696]) ).

fof(f3507,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(skaf67(sk3))
    | spl0_293 ),
    inference(resolution,[],[f3165,f86]) ).

fof(f3165,plain,
    ( ~ ssList(cons(sk5,skaf67(sk3)))
    | spl0_293 ),
    inference(avatar_component_clause,[],[f3164]) ).

fof(f3506,plain,
    ( spl0_325
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3430,f3164,f3503]) ).

fof(f3503,plain,
    ( spl0_325
  <=> cons(sk5,skaf67(sk3)) = app(nil,cons(sk5,skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f3430,plain,
    ( cons(sk5,skaf67(sk3)) = app(nil,cons(sk5,skaf67(sk3)))
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f74]) ).

fof(f3501,plain,
    ( spl0_324
    | spl0_320
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3433,f3164,f3479,f3499]) ).

fof(f3499,plain,
    ( spl0_324
  <=> ! [X1] :
        ( ~ ssList(X1)
        | tl(app(cons(sk5,skaf67(sk3)),X1)) = app(tl(cons(sk5,skaf67(sk3))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f3479,plain,
    ( spl0_320
  <=> nil = cons(sk5,skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f3433,plain,
    ( ! [X1] :
        ( nil = cons(sk5,skaf67(sk3))
        | ~ ssList(X1)
        | tl(app(cons(sk5,skaf67(sk3)),X1)) = app(tl(cons(sk5,skaf67(sk3))),X1) )
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f133]) ).

fof(f3497,plain,
    ( spl0_320
    | spl0_323
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3493,f3164,f308,f3495,f3479]) ).

fof(f3495,plain,
    ( spl0_323
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sk5 = hd(app(cons(sk5,skaf67(sk3)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f3493,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = cons(sk5,skaf67(sk3))
        | sk5 = hd(app(cons(sk5,skaf67(sk3)),X0)) )
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(forward_demodulation,[],[f3432,f1244]) ).

fof(f3432,plain,
    ( ! [X0] :
        ( nil = cons(sk5,skaf67(sk3))
        | hd(app(cons(sk5,skaf67(sk3)),X0)) = hd(cons(sk5,skaf67(sk3)))
        | ~ ssList(X0) )
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f123]) ).

fof(f3492,plain,
    ( spl0_322
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3453,f3164,f2016,f639,f3489]) ).

fof(f3489,plain,
    ( spl0_322
  <=> sk5 = hd(app(sk3,cons(sk5,skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f3453,plain,
    ( sk5 = hd(app(sk3,cons(sk5,skaf67(sk3))))
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f2021]) ).

fof(f3487,plain,
    ( spl0_321
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3429,f3164,f3484]) ).

fof(f3484,plain,
    ( spl0_321
  <=> app(cons(sk5,skaf67(sk3)),nil) = cons(sk5,skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f3429,plain,
    ( app(cons(sk5,skaf67(sk3)),nil) = cons(sk5,skaf67(sk3))
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f73]) ).

fof(f3482,plain,
    ( spl0_319
    | spl0_320
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3473,f3164,f308,f3479,f3475]) ).

fof(f3475,plain,
    ( spl0_319
  <=> cons(sk5,skaf67(sk3)) = cons(sk5,tl(cons(sk5,skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f3473,plain,
    ( nil = cons(sk5,skaf67(sk3))
    | cons(sk5,skaf67(sk3)) = cons(sk5,tl(cons(sk5,skaf67(sk3))))
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(forward_demodulation,[],[f3431,f1244]) ).

fof(f3431,plain,
    ( cons(sk5,skaf67(sk3)) = cons(hd(cons(sk5,skaf67(sk3))),tl(cons(sk5,skaf67(sk3))))
    | nil = cons(sk5,skaf67(sk3))
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f104]) ).

fof(f3472,plain,
    ( spl0_318
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3444,f3164,f308,f3469]) ).

fof(f3469,plain,
    ( spl0_318
  <=> app(cons(sk5,nil),cons(sk5,skaf67(sk3))) = cons(sk5,cons(sk5,skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f3444,plain,
    ( app(cons(sk5,nil),cons(sk5,skaf67(sk3))) = cons(sk5,cons(sk5,skaf67(sk3)))
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f598]) ).

fof(f3467,plain,
    ( spl0_317
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3441,f3164,f308,f3464]) ).

fof(f3464,plain,
    ( spl0_317
  <=> sk5 = hd(cons(sk5,cons(sk5,skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f3441,plain,
    ( sk5 = hd(cons(sk5,cons(sk5,skaf67(sk3))))
    | ~ spl0_17
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f553]) ).

fof(f3462,plain,
    ( spl0_315
    | spl0_316
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3435,f3164,f3459,f3455]) ).

fof(f3435,plain,
    ( totalorderedP(cons(sk5,skaf67(sk3)))
    | app(app(skaf66(cons(sk5,skaf67(sk3))),cons(skaf64(cons(sk5,skaf67(sk3))),skaf67(cons(sk5,skaf67(sk3))))),cons(skaf65(cons(sk5,skaf67(sk3))),skaf68(cons(sk5,skaf67(sk3))))) = cons(sk5,skaf67(sk3))
    | ~ spl0_293 ),
    inference(resolution,[],[f3166,f164]) ).

fof(f3426,plain,
    ( ~ spl0_297
    | spl0_314
    | ~ spl0_161
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f3409,f3344,f1459,f3424,f3236]) ).

fof(f3424,plain,
    ( spl0_314
  <=> ! [X0] :
        ( ~ ssList(X0)
        | app(skaf42(app(X0,cons(sk5,skaf68(sk3))),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,skaf68(sk3)))))) = app(X0,cons(sk5,skaf68(sk3)))
        | ~ ssList(app(X0,cons(sk5,skaf68(sk3)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f3344,plain,
    ( spl0_310
  <=> memberP(cons(sk5,skaf68(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f3409,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(cons(sk5,skaf68(sk3)))
        | ~ ssList(app(X0,cons(sk5,skaf68(sk3))))
        | app(skaf42(app(X0,cons(sk5,skaf68(sk3))),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,skaf68(sk3)))))) = app(X0,cons(sk5,skaf68(sk3))) )
    | ~ spl0_161
    | ~ spl0_310 ),
    inference(resolution,[],[f3345,f1460]) ).

fof(f3345,plain,
    ( memberP(cons(sk5,skaf68(sk3)),sk5)
    | ~ spl0_310 ),
    inference(avatar_component_clause,[],[f3344]) ).

fof(f3422,plain,
    ( ~ spl0_297
    | spl0_313
    | ~ spl0_159
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f3410,f3344,f1451,f3420,f3236]) ).

fof(f3420,plain,
    ( spl0_313
  <=> ! [X1] :
        ( app(cons(sk5,skaf68(sk3)),X1) = app(skaf42(app(cons(sk5,skaf68(sk3)),X1),sk5),cons(sk5,skaf43(sk5,app(cons(sk5,skaf68(sk3)),X1))))
        | ~ ssList(X1)
        | ~ ssList(app(cons(sk5,skaf68(sk3)),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f3410,plain,
    ( ! [X1] :
        ( app(cons(sk5,skaf68(sk3)),X1) = app(skaf42(app(cons(sk5,skaf68(sk3)),X1),sk5),cons(sk5,skaf43(sk5,app(cons(sk5,skaf68(sk3)),X1))))
        | ~ ssList(app(cons(sk5,skaf68(sk3)),X1))
        | ~ ssList(cons(sk5,skaf68(sk3)))
        | ~ ssList(X1) )
    | ~ spl0_159
    | ~ spl0_310 ),
    inference(resolution,[],[f3345,f1452]) ).

fof(f3418,plain,
    ( spl0_312
    | ~ spl0_297
    | ~ spl0_17
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f3411,f3344,f308,f3236,f3415]) ).

fof(f3415,plain,
    ( spl0_312
  <=> app(skaf42(cons(sk5,skaf68(sk3)),sk5),cons(sk5,skaf43(sk5,cons(sk5,skaf68(sk3))))) = cons(sk5,skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f3411,plain,
    ( ~ ssList(cons(sk5,skaf68(sk3)))
    | app(skaf42(cons(sk5,skaf68(sk3)),sk5),cons(sk5,skaf43(sk5,cons(sk5,skaf68(sk3))))) = cons(sk5,skaf68(sk3))
    | ~ spl0_17
    | ~ spl0_310 ),
    inference(resolution,[],[f3345,f333]) ).

fof(f3407,plain,
    ( ~ spl0_17
    | ~ spl0_42
    | spl0_310 ),
    inference(avatar_split_clause,[],[f3404,f3344,f465,f308]) ).

fof(f3404,plain,
    ( ~ ssList(skaf68(sk3))
    | ~ ssItem(sk5)
    | spl0_310 ),
    inference(resolution,[],[f3346,f225]) ).

fof(f3346,plain,
    ( ~ memberP(cons(sk5,skaf68(sk3)),sk5)
    | spl0_310 ),
    inference(avatar_component_clause,[],[f3344]) ).

fof(f3403,plain,
    ( spl0_272
    | spl0_311
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f3377,f3236,f3401,f2897]) ).

fof(f2897,plain,
    ( spl0_272
  <=> nil = cons(sk5,skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f3401,plain,
    ( spl0_311
  <=> ! [X1] :
        ( app(tl(cons(sk5,skaf68(sk3))),X1) = tl(app(cons(sk5,skaf68(sk3)),X1))
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f3377,plain,
    ( ! [X1] :
        ( app(tl(cons(sk5,skaf68(sk3))),X1) = tl(app(cons(sk5,skaf68(sk3)),X1))
        | nil = cons(sk5,skaf68(sk3))
        | ~ ssList(X1) )
    | ~ spl0_297 ),
    inference(resolution,[],[f3237,f133]) ).

fof(f3350,plain,
    ( ~ spl0_38
    | ~ spl0_297
    | spl0_300
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3349,f2617,f349,f3260,f3236,f448]) ).

fof(f3260,plain,
    ( spl0_300
  <=> ! [X1] :
        ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | ~ ssList(X1)
        | sk3 != app(X1,cons(sk5,skaf68(sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f349,plain,
    ( spl0_22
  <=> sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f3349,plain,
    ( ! [X7] :
        ( sk3 != app(X7,cons(sk5,skaf68(sk3)))
        | ~ ssList(X7)
        | ~ ssList(cons(sk5,skaf68(sk3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X7 )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3348,f2618]) ).

fof(f3348,plain,
    ( ! [X7] :
        ( ~ ssList(cons(sk5,skaf68(sk3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X7)
        | sk3 != app(X7,cons(skaf65(sk3),skaf68(sk3)))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X7 )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f1061,f2618]) ).

fof(f1061,plain,
    ( ! [X7] :
        ( ~ ssList(X7)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X7
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(X7,cons(skaf65(sk3),skaf68(sk3))) )
    | ~ spl0_22 ),
    inference(superposition,[],[f151,f351]) ).

fof(f351,plain,
    ( sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f3347,plain,
    ( ~ spl0_310
    | spl0_37
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3342,f2617,f444,f3344]) ).

fof(f444,plain,
    ( spl0_37
  <=> memberP(cons(skaf65(sk3),skaf68(sk3)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3342,plain,
    ( ~ memberP(cons(sk5,skaf68(sk3)),sk5)
    | spl0_37
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f445,f2618]) ).

fof(f445,plain,
    ( ~ memberP(cons(skaf65(sk3),skaf68(sk3)),sk5)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f3341,plain,
    ( ~ spl0_38
    | ~ spl0_297
    | spl0_298
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3340,f2617,f349,f3240,f3236,f448]) ).

fof(f3240,plain,
    ( spl0_298
  <=> ! [X1] :
        ( sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | cons(sk5,skaf68(sk3)) = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f3340,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | ~ ssList(cons(sk5,skaf68(sk3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | cons(sk5,skaf68(sk3)) = X1 )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3339,f2618]) ).

fof(f3339,plain,
    ( ! [X1] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | cons(sk5,skaf68(sk3)) = X1
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssList(X1)
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f766,f2618]) ).

fof(f766,plain,
    ( ! [X1] :
        ( cons(skaf65(sk3),skaf68(sk3)) = X1
        | ~ ssList(X1)
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22 ),
    inference(superposition,[],[f150,f351]) ).

fof(f3338,plain,
    ( spl0_309
    | ~ spl0_85
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3333,f2617,f918,f3335]) ).

fof(f3335,plain,
    ( spl0_309
  <=> app(cons(sk5,skaf68(sk3)),nil) = cons(sk5,skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f918,plain,
    ( spl0_85
  <=> app(cons(skaf65(sk3),skaf68(sk3)),nil) = cons(skaf65(sk3),skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f3333,plain,
    ( app(cons(sk5,skaf68(sk3)),nil) = cons(sk5,skaf68(sk3))
    | ~ spl0_85
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f920,f2618]) ).

fof(f920,plain,
    ( app(cons(skaf65(sk3),skaf68(sk3)),nil) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f3326,plain,
    ( ~ spl0_308
    | spl0_86
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3321,f2617,f923,f3323]) ).

fof(f3323,plain,
    ( spl0_308
  <=> app(app(skaf66(cons(sk5,skaf68(sk3))),cons(skaf64(cons(sk5,skaf68(sk3))),skaf67(cons(sk5,skaf68(sk3))))),cons(skaf65(cons(sk5,skaf68(sk3))),skaf68(cons(sk5,skaf68(sk3))))) = cons(sk5,skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f923,plain,
    ( spl0_86
  <=> app(app(skaf66(cons(skaf65(sk3),skaf68(sk3))),cons(skaf64(cons(skaf65(sk3),skaf68(sk3))),skaf67(cons(skaf65(sk3),skaf68(sk3))))),cons(skaf65(cons(skaf65(sk3),skaf68(sk3))),skaf68(cons(skaf65(sk3),skaf68(sk3))))) = cons(skaf65(sk3),skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3321,plain,
    ( app(app(skaf66(cons(sk5,skaf68(sk3))),cons(skaf64(cons(sk5,skaf68(sk3))),skaf67(cons(sk5,skaf68(sk3))))),cons(skaf65(cons(sk5,skaf68(sk3))),skaf68(cons(sk5,skaf68(sk3))))) != cons(sk5,skaf68(sk3))
    | spl0_86
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f924,f2618]) ).

fof(f924,plain,
    ( app(app(skaf66(cons(skaf65(sk3),skaf68(sk3))),cons(skaf64(cons(skaf65(sk3),skaf68(sk3))),skaf67(cons(skaf65(sk3),skaf68(sk3))))),cons(skaf65(cons(skaf65(sk3),skaf68(sk3))),skaf68(cons(skaf65(sk3),skaf68(sk3))))) != cons(skaf65(sk3),skaf68(sk3))
    | spl0_86 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f3320,plain,
    ( spl0_307
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3315,f2617,f349,f3317]) ).

fof(f3315,plain,
    ( sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(sk5,skaf68(sk3)))
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f351,f2618]) ).

fof(f3314,plain,
    ( spl0_306
    | ~ spl0_198
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3309,f2617,f2069,f3311]) ).

fof(f2069,plain,
    ( spl0_198
  <=> sk5 = hd(app(sk3,cons(skaf65(sk3),skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f3309,plain,
    ( sk5 = hd(app(sk3,cons(sk5,skaf68(sk3))))
    | ~ spl0_198
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f2071,f2618]) ).

fof(f2071,plain,
    ( sk5 = hd(app(sk3,cons(skaf65(sk3),skaf68(sk3))))
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f2069]) ).

fof(f3308,plain,
    ( ~ spl0_305
    | spl0_2
    | ~ spl0_7
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3187,f2617,f260,f234,f3305]) ).

fof(f3305,plain,
    ( spl0_305
  <=> leq(skaf64(sk3),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f3187,plain,
    ( ~ ssList(sk3)
    | totalorderedP(sk3)
    | ~ leq(skaf64(sk3),sk5)
    | ~ spl0_259 ),
    inference(superposition,[],[f91,f2618]) ).

fof(f91,axiom,
    ! [X0] :
      ( ~ leq(skaf64(X0),skaf65(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f3303,plain,
    ( spl0_304
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2908,f448,f3300]) ).

fof(f3300,plain,
    ( spl0_304
  <=> app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f2908,plain,
    ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),nil)
    | ~ spl0_38 ),
    inference(resolution,[],[f449,f73]) ).

fof(f3298,plain,
    ( spl0_295
    | ~ spl0_89
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3297,f2617,f937,f3219]) ).

fof(f3219,plain,
    ( spl0_295
  <=> cons(sk5,tl(cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f937,plain,
    ( spl0_89
  <=> cons(hd(cons(skaf65(sk3),skaf68(sk3))),tl(cons(skaf65(sk3),skaf68(sk3)))) = cons(skaf65(sk3),skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3297,plain,
    ( cons(sk5,tl(cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3))
    | ~ spl0_89
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f2379,f2618]) ).

fof(f2379,plain,
    ( cons(skaf65(sk3),tl(cons(skaf65(sk3),skaf68(sk3)))) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_89 ),
    inference(backward_demodulation,[],[f939,f2361]) ).

fof(f2361,plain,
    ! [X8,X7] : skaf65(X7) = hd(cons(skaf65(X7),skaf68(X8))),
    inference(resolution,[],[f550,f27]) ).

fof(f939,plain,
    ( cons(hd(cons(skaf65(sk3),skaf68(sk3))),tl(cons(skaf65(sk3),skaf68(sk3)))) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f3296,plain,
    ( ~ spl0_297
    | ~ spl0_38
    | spl0_300
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3295,f2617,f349,f3260,f448,f3236]) ).

fof(f3295,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(X1,cons(sk5,skaf68(sk3)))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | ~ ssList(cons(sk5,skaf68(sk3))) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3294,f2618]) ).

fof(f3294,plain,
    ( ! [X1] :
        ( ~ ssList(cons(sk5,skaf68(sk3)))
        | ~ ssList(X1)
        | sk3 != app(X1,cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1 )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f783,f2618]) ).

fof(f783,plain,
    ( ! [X1] :
        ( ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(X1,cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssList(X1) )
    | ~ spl0_22 ),
    inference(superposition,[],[f151,f351]) ).

fof(f3292,plain,
    ( spl0_303
    | ~ spl0_172
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3287,f2617,f1690,f3289]) ).

fof(f3289,plain,
    ( spl0_303
  <=> cons(sk5,cons(sk5,skaf68(sk3))) = app(cons(sk5,nil),cons(sk5,skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f1690,plain,
    ( spl0_172
  <=> app(cons(sk5,nil),cons(skaf65(sk3),skaf68(sk3))) = cons(sk5,cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f3287,plain,
    ( cons(sk5,cons(sk5,skaf68(sk3))) = app(cons(sk5,nil),cons(sk5,skaf68(sk3)))
    | ~ spl0_172
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f1692,f2618]) ).

fof(f1692,plain,
    ( app(cons(sk5,nil),cons(skaf65(sk3),skaf68(sk3))) = cons(sk5,cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1690]) ).

fof(f3286,plain,
    ( spl0_297
    | ~ spl0_34
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3285,f2617,f432,f3236]) ).

fof(f432,plain,
    ( spl0_34
  <=> ssList(cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3285,plain,
    ( ssList(cons(sk5,skaf68(sk3)))
    | ~ spl0_34
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f433,f2618]) ).

fof(f433,plain,
    ( ssList(cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f3284,plain,
    ( ~ spl0_38
    | spl0_298
    | ~ spl0_297
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3283,f2617,f349,f3236,f3240,f448]) ).

fof(f3283,plain,
    ( ! [X5] :
        ( ~ ssList(cons(sk5,skaf68(sk3)))
        | cons(sk5,skaf68(sk3)) = X5
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X5)
        | ~ ssList(X5)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3282,f2618]) ).

fof(f3282,plain,
    ( ! [X5] :
        ( sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X5)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssList(X5)
        | cons(sk5,skaf68(sk3)) = X5 )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f1059,f2618]) ).

fof(f1059,plain,
    ( ! [X5] :
        ( sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X5)
        | cons(skaf65(sk3),skaf68(sk3)) = X5
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X5) )
    | ~ spl0_22 ),
    inference(superposition,[],[f150,f351]) ).

fof(f3281,plain,
    ( ~ spl0_38
    | spl0_300
    | ~ spl0_297
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3280,f2617,f349,f3236,f3260,f448]) ).

fof(f3280,plain,
    ( ! [X6] :
        ( ~ ssList(cons(sk5,skaf68(sk3)))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X6
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(X6,cons(sk5,skaf68(sk3)))
        | ~ ssList(X6) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3279,f2618]) ).

fof(f3279,plain,
    ( ! [X6] :
        ( sk3 != app(X6,cons(sk5,skaf68(sk3)))
        | ~ ssList(X6)
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X6
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f1060,f2618]) ).

fof(f1060,plain,
    ( ! [X6] :
        ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X6
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(X6,cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssList(X6)
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3))) )
    | ~ spl0_22 ),
    inference(superposition,[],[f151,f351]) ).

fof(f3277,plain,
    ( spl0_302
    | ~ spl0_87
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3272,f2617,f927,f3274]) ).

fof(f3274,plain,
    ( spl0_302
  <=> totalorderedP(cons(sk5,skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f927,plain,
    ( spl0_87
  <=> totalorderedP(cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f3272,plain,
    ( totalorderedP(cons(sk5,skaf68(sk3)))
    | ~ spl0_87
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f929,f2618]) ).

fof(f929,plain,
    ( totalorderedP(cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f3269,plain,
    ( spl0_301
    | ~ spl0_139
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3264,f2617,f1270,f3266]) ).

fof(f1270,plain,
    ( spl0_139
  <=> sk5 = hd(cons(sk5,cons(skaf65(sk3),skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3264,plain,
    ( sk5 = hd(cons(sk5,cons(sk5,skaf68(sk3))))
    | ~ spl0_139
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f1272,f2618]) ).

fof(f1272,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(sk3),skaf68(sk3))))
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1270]) ).

fof(f3262,plain,
    ( spl0_300
    | ~ spl0_38
    | ~ spl0_297
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3258,f2617,f349,f3236,f448,f3260]) ).

fof(f3258,plain,
    ( ! [X1] :
        ( ~ ssList(cons(sk5,skaf68(sk3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | sk3 != app(X1,cons(sk5,skaf68(sk3)))
        | ~ ssList(X1) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3257,f2618]) ).

fof(f3257,plain,
    ( ! [X1] :
        ( sk3 != app(X1,cons(sk5,skaf68(sk3)))
        | ~ ssList(X1)
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f780,f2618]) ).

fof(f780,plain,
    ( ! [X1] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X1)
        | sk3 != app(X1,cons(skaf65(sk3),skaf68(sk3)))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3))) )
    | ~ spl0_22 ),
    inference(superposition,[],[f151,f351]) ).

fof(f3255,plain,
    ( spl0_295
    | ~ spl0_17
    | ~ spl0_89
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3254,f2617,f937,f308,f3219]) ).

fof(f3254,plain,
    ( cons(sk5,tl(cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3))
    | ~ spl0_17
    | ~ spl0_89
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3253,f1243]) ).

fof(f3253,plain,
    ( cons(hd(cons(sk5,skaf68(sk3))),tl(cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3))
    | ~ spl0_89
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f939,f2618]) ).

fof(f3252,plain,
    ( ~ spl0_38
    | spl0_298
    | ~ spl0_297
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3251,f2617,f349,f3236,f3240,f448]) ).

fof(f3251,plain,
    ( ! [X4] :
        ( ~ ssList(cons(sk5,skaf68(sk3)))
        | cons(sk5,skaf68(sk3)) = X4
        | ~ ssList(X4)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X4) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3250,f2618]) ).

fof(f3250,plain,
    ( ! [X4] :
        ( cons(skaf65(sk3),skaf68(sk3)) = X4
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X4)
        | ~ ssList(X4)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(cons(sk5,skaf68(sk3))) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f1058,f2618]) ).

fof(f1058,plain,
    ( ! [X4] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X4)
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X4)
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | cons(skaf65(sk3),skaf68(sk3)) = X4 )
    | ~ spl0_22 ),
    inference(superposition,[],[f150,f351]) ).

fof(f3249,plain,
    ( spl0_299
    | ~ spl0_88
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3244,f2617,f932,f3246]) ).

fof(f3246,plain,
    ( spl0_299
  <=> app(nil,cons(sk5,skaf68(sk3))) = cons(sk5,skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f932,plain,
    ( spl0_88
  <=> app(nil,cons(skaf65(sk3),skaf68(sk3))) = cons(skaf65(sk3),skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3244,plain,
    ( app(nil,cons(sk5,skaf68(sk3))) = cons(sk5,skaf68(sk3))
    | ~ spl0_88
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f934,f2618]) ).

fof(f934,plain,
    ( app(nil,cons(skaf65(sk3),skaf68(sk3))) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f3242,plain,
    ( ~ spl0_38
    | ~ spl0_297
    | spl0_298
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3234,f2617,f349,f3240,f3236,f448]) ).

fof(f3234,plain,
    ( ! [X1] :
        ( sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | ~ ssList(X1)
        | ~ ssList(cons(sk5,skaf68(sk3)))
        | cons(sk5,skaf68(sk3)) = X1
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3233,f2618]) ).

fof(f3233,plain,
    ( ! [X1] :
        ( ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | ~ ssList(X1)
        | cons(sk5,skaf68(sk3)) = X1
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f763,f2618]) ).

fof(f763,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | cons(skaf65(sk3),skaf68(sk3)) = X1
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3))) )
    | ~ spl0_22 ),
    inference(superposition,[],[f150,f351]) ).

fof(f3232,plain,
    ( spl0_295
    | ~ spl0_235
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3231,f2617,f2386,f3219]) ).

fof(f2386,plain,
    ( spl0_235
  <=> cons(skaf65(sk3),tl(cons(skaf65(sk3),skaf68(sk3)))) = cons(skaf65(sk3),skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f3231,plain,
    ( cons(sk5,tl(cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3))
    | ~ spl0_235
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f2388,f2618]) ).

fof(f2388,plain,
    ( cons(skaf65(sk3),tl(cons(skaf65(sk3),skaf68(sk3)))) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_235 ),
    inference(avatar_component_clause,[],[f2386]) ).

fof(f3230,plain,
    ( spl0_296
    | ~ spl0_50
    | ~ spl0_163
    | ~ spl0_203
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3225,f2617,f2097,f1566,f568,f3227]) ).

fof(f3227,plain,
    ( spl0_296
  <=> sk5 = hd(app(nil,cons(sk5,skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f1566,plain,
    ( spl0_163
  <=> hd(app(sk4,cons(skaf65(sk3),skaf68(sk3)))) = hd(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3225,plain,
    ( sk5 = hd(app(nil,cons(sk5,skaf68(sk3))))
    | ~ spl0_50
    | ~ spl0_163
    | ~ spl0_203
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3224,f2618]) ).

fof(f3224,plain,
    ( sk5 = hd(app(nil,cons(skaf65(sk3),skaf68(sk3))))
    | ~ spl0_50
    | ~ spl0_163
    | ~ spl0_203 ),
    inference(forward_demodulation,[],[f2428,f2098]) ).

fof(f2428,plain,
    ( hd(app(nil,cons(skaf65(sk3),skaf68(sk3)))) = hd(nil)
    | ~ spl0_50
    | ~ spl0_163 ),
    inference(forward_demodulation,[],[f1568,f570]) ).

fof(f1568,plain,
    ( hd(app(sk4,cons(skaf65(sk3),skaf68(sk3)))) = hd(sk4)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1566]) ).

fof(f3222,plain,
    ( spl0_295
    | spl0_272
    | ~ spl0_17
    | ~ spl0_34
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3217,f2617,f432,f308,f2897,f3219]) ).

fof(f3217,plain,
    ( nil = cons(sk5,skaf68(sk3))
    | cons(sk5,tl(cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3))
    | ~ spl0_17
    | ~ spl0_34
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3216,f1243]) ).

fof(f3216,plain,
    ( cons(hd(cons(sk5,skaf68(sk3))),tl(cons(sk5,skaf68(sk3)))) = cons(sk5,skaf68(sk3))
    | nil = cons(sk5,skaf68(sk3))
    | ~ spl0_34
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f3215,f2618]) ).

fof(f3215,plain,
    ( nil = cons(sk5,skaf68(sk3))
    | cons(hd(cons(skaf65(sk3),skaf68(sk3))),tl(cons(skaf65(sk3),skaf68(sk3)))) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_34
    | ~ spl0_259 ),
    inference(forward_demodulation,[],[f958,f2618]) ).

fof(f958,plain,
    ( nil = cons(skaf65(sk3),skaf68(sk3))
    | cons(hd(cons(skaf65(sk3),skaf68(sk3))),tl(cons(skaf65(sk3),skaf68(sk3)))) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_34 ),
    inference(resolution,[],[f433,f104]) ).

fof(f3214,plain,
    ( ~ spl0_17
    | spl0_294 ),
    inference(avatar_split_clause,[],[f3213,f3190,f308]) ).

fof(f3190,plain,
    ( spl0_294
  <=> leq(sk5,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f3213,plain,
    ( ~ ssItem(sk5)
    | spl0_294 ),
    inference(resolution,[],[f3192,f62]) ).

fof(f3192,plain,
    ( ~ leq(sk5,sk5)
    | spl0_294 ),
    inference(avatar_component_clause,[],[f3190]) ).

fof(f3193,plain,
    ( ~ spl0_294
    | spl0_2
    | ~ spl0_7
    | ~ spl0_259
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f3188,f3145,f2617,f260,f234,f3190]) ).

fof(f3188,plain,
    ( ~ ssList(sk3)
    | totalorderedP(sk3)
    | ~ leq(sk5,sk5)
    | ~ spl0_259
    | ~ spl0_290 ),
    inference(forward_demodulation,[],[f3187,f3147]) ).

fof(f3147,plain,
    ( sk5 = skaf64(sk3)
    | ~ spl0_290 ),
    inference(avatar_component_clause,[],[f3145]) ).

fof(f3167,plain,
    ( spl0_293
    | ~ spl0_142
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f3149,f3145,f1287,f3164]) ).

fof(f3149,plain,
    ( ssList(cons(sk5,skaf67(sk3)))
    | ~ spl0_142
    | ~ spl0_290 ),
    inference(backward_demodulation,[],[f1288,f3147]) ).

fof(f3162,plain,
    ( spl0_292
    | ~ spl0_280
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f3151,f3145,f2960,f3159]) ).

fof(f2960,plain,
    ( spl0_280
  <=> sk3 = app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f3151,plain,
    ( sk3 = app(skaf66(sk3),cons(sk5,skaf67(sk3)))
    | ~ spl0_280
    | ~ spl0_290 ),
    inference(backward_demodulation,[],[f2962,f3147]) ).

fof(f2962,plain,
    ( sk3 = app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))
    | ~ spl0_280 ),
    inference(avatar_component_clause,[],[f2960]) ).

fof(f3157,plain,
    ( ~ spl0_291
    | spl0_274
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f3150,f3145,f2931,f3154]) ).

fof(f3154,plain,
    ( spl0_291
  <=> nil = app(skaf66(sk3),cons(sk5,skaf67(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f3150,plain,
    ( nil != app(skaf66(sk3),cons(sk5,skaf67(sk3)))
    | spl0_274
    | ~ spl0_290 ),
    inference(backward_demodulation,[],[f2932,f3147]) ).

fof(f2932,plain,
    ( nil != app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))
    | spl0_274 ),
    inference(avatar_component_clause,[],[f2931]) ).

fof(f3148,plain,
    ( spl0_290
    | ~ spl0_262
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f3143,f3005,f2700,f3145]) ).

fof(f3143,plain,
    ( ~ ssItem(skaf64(sk3))
    | sk5 = skaf64(sk3)
    | ~ spl0_284 ),
    inference(resolution,[],[f3007,f193]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ memberP(sk3,X6)
      | sk5 = X6
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f3007,plain,
    ( memberP(sk3,skaf64(sk3))
    | ~ spl0_284 ),
    inference(avatar_component_clause,[],[f3005]) ).

fof(f3110,plain,
    ( spl0_207
    | spl0_289
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f3080,f2170,f3108,f2166]) ).

fof(f2166,plain,
    ( spl0_207
  <=> nil = cons(sk5,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f3108,plain,
    ( spl0_289
  <=> ! [X23] :
        ( app(tl(cons(sk5,sk3)),X23) = tl(app(cons(sk5,sk3),X23))
        | ~ ssList(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f3080,plain,
    ( ! [X23] :
        ( app(tl(cons(sk5,sk3)),X23) = tl(app(cons(sk5,sk3),X23))
        | ~ ssList(X23)
        | nil = cons(sk5,sk3) )
    | ~ spl0_208 ),
    inference(resolution,[],[f133,f2171]) ).

fof(f3106,plain,
    ( spl0_288
    | spl0_97
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f3079,f713,f1002,f3104]) ).

fof(f3104,plain,
    ( spl0_288
  <=> ! [X22] :
        ( app(tl(cons(skaf65(nil),skaf68(nil))),X22) = tl(app(cons(skaf65(nil),skaf68(nil)),X22))
        | ~ ssList(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f3079,plain,
    ( ! [X22] :
        ( nil = cons(skaf65(nil),skaf68(nil))
        | app(tl(cons(skaf65(nil),skaf68(nil))),X22) = tl(app(cons(skaf65(nil),skaf68(nil)),X22))
        | ~ ssList(X22) )
    | ~ spl0_67 ),
    inference(resolution,[],[f133,f714]) ).

fof(f3102,plain,
    ( spl0_131
    | spl0_287
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f3084,f1179,f3100,f1218]) ).

fof(f3100,plain,
    ( spl0_287
  <=> ! [X30] :
        ( tl(app(tl(sk3),X30)) = app(tl(tl(sk3)),X30)
        | ~ ssList(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f3084,plain,
    ( ! [X30] :
        ( tl(app(tl(sk3),X30)) = app(tl(tl(sk3)),X30)
        | nil = tl(sk3)
        | ~ ssList(X30) )
    | ~ spl0_122 ),
    inference(resolution,[],[f133,f1180]) ).

fof(f3098,plain,
    ( spl0_286
    | spl0_227
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f3094,f2340,f308,f2329,f3096]) ).

fof(f3096,plain,
    ( spl0_286
  <=> ! [X24] :
        ( app(tl(cons(sk5,nil)),X24) = X24
        | ~ ssList(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f3094,plain,
    ( ! [X24] :
        ( nil = cons(sk5,nil)
        | app(tl(cons(sk5,nil)),X24) = X24
        | ~ ssList(X24) )
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(forward_subsumption_demodulation,[],[f3093,f2318]) ).

fof(f3093,plain,
    ( ! [X24] :
        ( tl(cons(sk5,X24)) = app(tl(cons(sk5,nil)),X24)
        | ~ ssList(X24)
        | nil = cons(sk5,nil) )
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(forward_subsumption_demodulation,[],[f3081,f598]) ).

fof(f3081,plain,
    ( ! [X24] :
        ( ~ ssList(X24)
        | nil = cons(sk5,nil)
        | app(tl(cons(sk5,nil)),X24) = tl(app(cons(sk5,nil),X24)) )
    | ~ spl0_230 ),
    inference(resolution,[],[f133,f2341]) ).

fof(f3091,plain,
    ( spl0_285
    | spl0_53
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3085,f260,f582,f3089]) ).

fof(f3089,plain,
    ( spl0_285
  <=> ! [X31] :
        ( ~ ssList(X31)
        | app(tl(sk3),X31) = tl(app(sk3,X31)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f3085,plain,
    ( ! [X31] :
        ( nil = sk3
        | ~ ssList(X31)
        | app(tl(sk3),X31) = tl(app(sk3,X31)) )
    | ~ spl0_7 ),
    inference(resolution,[],[f133,f262]) ).

fof(f3008,plain,
    ( spl0_284
    | ~ spl0_280
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f3003,f2970,f2960,f3005]) ).

fof(f3003,plain,
    ( memberP(sk3,skaf64(sk3))
    | ~ spl0_280
    | ~ spl0_282 ),
    inference(forward_demodulation,[],[f2972,f2962]) ).

fof(f2978,plain,
    ( spl0_283
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2909,f448,f2975]) ).

fof(f2975,plain,
    ( spl0_283
  <=> app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(nil,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f2909,plain,
    ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(nil,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | ~ spl0_38 ),
    inference(resolution,[],[f449,f74]) ).

fof(f2973,plain,
    ( spl0_282
    | ~ spl0_143
    | ~ spl0_262
    | ~ spl0_261
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2907,f448,f2696,f2700,f1291,f2970]) ).

fof(f2907,plain,
    ( ~ ssList(skaf67(sk3))
    | ~ ssItem(skaf64(sk3))
    | ~ ssList(skaf66(sk3))
    | memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),skaf64(sk3))
    | ~ spl0_38 ),
    inference(resolution,[],[f449,f198]) ).

fof(f2968,plain,
    ( spl0_281
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2922,f448,f308,f2965]) ).

fof(f2965,plain,
    ( spl0_281
  <=> cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) = app(cons(sk5,nil),app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f2922,plain,
    ( cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) = app(cons(sk5,nil),app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(resolution,[],[f449,f598]) ).

fof(f2963,plain,
    ( spl0_280
    | ~ spl0_38
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2958,f946,f448,f2960]) ).

fof(f946,plain,
    ( spl0_90
  <=> sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2958,plain,
    ( sk3 = app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))
    | ~ spl0_38
    | ~ spl0_90 ),
    inference(forward_demodulation,[],[f2908,f948]) ).

fof(f948,plain,
    ( sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),nil)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f2957,plain,
    ( spl0_279
    | ~ spl0_38
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2925,f2016,f639,f448,f2954]) ).

fof(f2954,plain,
    ( spl0_279
  <=> sk5 = hd(app(sk3,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f2925,plain,
    ( sk5 = hd(app(sk3,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))
    | ~ spl0_38
    | ~ spl0_54
    | ~ spl0_194 ),
    inference(resolution,[],[f449,f2021]) ).

fof(f2952,plain,
    ( spl0_278
    | spl0_274
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2911,f448,f2931,f2950]) ).

fof(f2950,plain,
    ( spl0_278
  <=> ! [X0] :
        ( ~ ssList(X0)
        | hd(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) = hd(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f2911,plain,
    ( ! [X0] :
        ( nil = app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))
        | ~ ssList(X0)
        | hd(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) = hd(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X0)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f449,f123]) ).

fof(f2948,plain,
    ( spl0_276
    | spl0_277
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2913,f448,f2945,f2941]) ).

fof(f2941,plain,
    ( spl0_276
  <=> app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(app(skaf66(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),cons(skaf64(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),skaf67(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))),cons(skaf65(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),skaf68(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f2945,plain,
    ( spl0_277
  <=> totalorderedP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f2913,plain,
    ( totalorderedP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = app(app(skaf66(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),cons(skaf64(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),skaf67(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))),cons(skaf65(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),skaf68(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))))
    | ~ spl0_38 ),
    inference(resolution,[],[f449,f164]) ).

fof(f2939,plain,
    ( spl0_275
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2919,f448,f308,f2936]) ).

fof(f2936,plain,
    ( spl0_275
  <=> sk5 = hd(cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f2919,plain,
    ( sk5 = hd(cons(sk5,app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(resolution,[],[f449,f553]) ).

fof(f2934,plain,
    ( spl0_273
    | spl0_274
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2910,f448,f2931,f2927]) ).

fof(f2927,plain,
    ( spl0_273
  <=> app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = cons(hd(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),tl(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f2910,plain,
    ( nil = app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))
    | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = cons(hd(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))),tl(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))))
    | ~ spl0_38 ),
    inference(resolution,[],[f449,f104]) ).

fof(f2902,plain,
    ( ~ spl0_267
    | ~ spl0_203
    | spl0_236 ),
    inference(avatar_split_clause,[],[f2901,f2391,f2097,f2872]) ).

fof(f2872,plain,
    ( spl0_267
  <=> sk5 = skaf65(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f2391,plain,
    ( spl0_236
  <=> skaf65(nil) = hd(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f2901,plain,
    ( sk5 != skaf65(nil)
    | ~ spl0_203
    | spl0_236 ),
    inference(backward_demodulation,[],[f2393,f2098]) ).

fof(f2393,plain,
    ( skaf65(nil) != hd(nil)
    | spl0_236 ),
    inference(avatar_component_clause,[],[f2391]) ).

fof(f2900,plain,
    ( spl0_272
    | ~ spl0_83
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f2856,f2617,f910,f2897]) ).

fof(f910,plain,
    ( spl0_83
  <=> nil = cons(skaf65(sk3),skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2856,plain,
    ( nil = cons(sk5,skaf68(sk3))
    | ~ spl0_83
    | ~ spl0_259 ),
    inference(backward_demodulation,[],[f912,f2618]) ).

fof(f912,plain,
    ( nil = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f2895,plain,
    ( ~ spl0_271
    | spl0_238
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f2859,f2617,f2422,f2892]) ).

fof(f2892,plain,
    ( spl0_271
  <=> nil = cons(sk5,tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f2422,plain,
    ( spl0_238
  <=> nil = cons(skaf65(sk3),tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f2859,plain,
    ( nil != cons(sk5,tl(nil))
    | spl0_238
    | ~ spl0_259 ),
    inference(backward_demodulation,[],[f2424,f2618]) ).

fof(f2424,plain,
    ( nil != cons(skaf65(sk3),tl(nil))
    | spl0_238 ),
    inference(avatar_component_clause,[],[f2422]) ).

fof(f2890,plain,
    ( ~ spl0_270
    | spl0_240
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f2861,f2617,f2443,f2887]) ).

fof(f2887,plain,
    ( spl0_270
  <=> leq(sk5,hd(tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f2443,plain,
    ( spl0_240
  <=> leq(skaf65(sk3),hd(tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f2861,plain,
    ( ~ leq(sk5,hd(tl(nil)))
    | spl0_240
    | ~ spl0_259 ),
    inference(backward_demodulation,[],[f2445,f2618]) ).

fof(f2445,plain,
    ( ~ leq(skaf65(sk3),hd(tl(nil)))
    | spl0_240 ),
    inference(avatar_component_clause,[],[f2443]) ).

fof(f2885,plain,
    ( spl0_269
    | ~ spl0_103
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f2857,f2617,f1045,f2882]) ).

fof(f1045,plain,
    ( spl0_103
  <=> leq(skaf65(sk3),hd(skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2857,plain,
    ( leq(sk5,hd(skaf68(sk3)))
    | ~ spl0_103
    | ~ spl0_259 ),
    inference(backward_demodulation,[],[f1047,f2618]) ).

fof(f1047,plain,
    ( leq(skaf65(sk3),hd(skaf68(sk3)))
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f2880,plain,
    ( ~ spl0_268
    | spl0_241
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f2862,f2617,f2448,f2877]) ).

fof(f2877,plain,
    ( spl0_268
  <=> lt(sk5,hd(tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f2448,plain,
    ( spl0_241
  <=> lt(skaf65(sk3),hd(tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f2862,plain,
    ( ~ lt(sk5,hd(tl(nil)))
    | spl0_241
    | ~ spl0_259 ),
    inference(backward_demodulation,[],[f2450,f2618]) ).

fof(f2450,plain,
    ( ~ lt(skaf65(sk3),hd(tl(nil)))
    | spl0_241 ),
    inference(avatar_component_clause,[],[f2448]) ).

fof(f2875,plain,
    ( ~ spl0_267
    | ~ spl0_259
    | spl0_260 ),
    inference(avatar_split_clause,[],[f2864,f2666,f2617,f2872]) ).

fof(f2666,plain,
    ( spl0_260
  <=> skaf65(nil) = skaf65(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f2864,plain,
    ( sk5 != skaf65(nil)
    | ~ spl0_259
    | spl0_260 ),
    inference(backward_demodulation,[],[f2668,f2618]) ).

fof(f2668,plain,
    ( skaf65(nil) != skaf65(sk3)
    | spl0_260 ),
    inference(avatar_component_clause,[],[f2666]) ).

fof(f2870,plain,
    ( ~ spl0_266
    | spl0_242
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f2863,f2617,f2453,f2867]) ).

fof(f2867,plain,
    ( spl0_266
  <=> lt(sk5,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f2453,plain,
    ( spl0_242
  <=> lt(sk5,skaf65(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f2863,plain,
    ( ~ lt(sk5,sk5)
    | spl0_242
    | ~ spl0_259 ),
    inference(backward_demodulation,[],[f2455,f2618]) ).

fof(f2455,plain,
    ( ~ lt(sk5,skaf65(sk3))
    | spl0_242 ),
    inference(avatar_component_clause,[],[f2453]) ).

fof(f2865,plain,
    ( spl0_203
    | ~ spl0_234
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f2858,f2617,f2381,f2097]) ).

fof(f2381,plain,
    ( spl0_234
  <=> skaf65(sk3) = hd(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f2858,plain,
    ( sk5 = hd(nil)
    | ~ spl0_234
    | ~ spl0_259 ),
    inference(backward_demodulation,[],[f2382,f2618]) ).

fof(f2382,plain,
    ( skaf65(sk3) = hd(nil)
    | ~ spl0_234 ),
    inference(avatar_component_clause,[],[f2381]) ).

fof(f2853,plain,
    ( ~ spl0_40
    | spl0_259
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2852,f461,f2617,f457]) ).

fof(f457,plain,
    ( spl0_40
  <=> ssItem(skaf65(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f461,plain,
    ( spl0_41
  <=> memberP(sk3,skaf65(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2852,plain,
    ( sk5 = skaf65(sk3)
    | ~ ssItem(skaf65(sk3))
    | ~ spl0_41 ),
    inference(resolution,[],[f463,f193]) ).

fof(f463,plain,
    ( memberP(sk3,skaf65(sk3))
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f2851,plain,
    ( ~ spl0_5
    | ~ spl0_38
    | spl0_265
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2850,f910,f349,f2823,f448,f249]) ).

fof(f2823,plain,
    ( spl0_265
  <=> ! [X6] :
        ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X6
        | sk3 != X6
        | ~ ssList(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f2850,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | sk3 != X1
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(nil) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_subsumption_demodulation,[],[f2849,f73]) ).

fof(f2849,plain,
    ( ! [X1] :
        ( sk3 != app(X1,nil)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(nil)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | ~ ssList(X1) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f2848,f912]) ).

fof(f2848,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | ~ ssList(nil)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(X1,cons(skaf65(sk3),skaf68(sk3))) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f783,f912]) ).

fof(f2847,plain,
    ( ~ spl0_38
    | ~ spl0_5
    | spl0_264
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2846,f910,f349,f2810,f249,f448]) ).

fof(f2810,plain,
    ( spl0_264
  <=> ! [X5] :
        ( nil = X5
        | ~ ssList(X5)
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f2846,plain,
    ( ! [X4] :
        ( ~ ssList(X4)
        | nil = X4
        | ~ ssList(nil)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X4) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f2845,f912]) ).

fof(f2845,plain,
    ( ! [X4] :
        ( ~ ssList(X4)
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X4)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(nil)
        | cons(skaf65(sk3),skaf68(sk3)) = X4 )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f1058,f912]) ).

fof(f2844,plain,
    ( ~ spl0_5
    | spl0_265
    | ~ spl0_38
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2843,f910,f349,f448,f2823,f249]) ).

fof(f2843,plain,
    ( ! [X1] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | ~ ssList(nil)
        | sk3 != X1
        | ~ ssList(X1) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_subsumption_demodulation,[],[f2842,f73]) ).

fof(f2842,plain,
    ( ! [X1] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(nil)
        | sk3 != app(X1,nil)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1
        | ~ ssList(X1) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f2841,f912]) ).

fof(f2841,plain,
    ( ! [X1] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | sk3 != app(X1,nil)
        | ~ ssList(X1)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X1 )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f780,f912]) ).

fof(f2839,plain,
    ( ~ spl0_5
    | ~ spl0_38
    | spl0_265
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2838,f946,f2823,f448,f249]) ).

fof(f2838,plain,
    ( ! [X4] :
        ( ~ ssList(X4)
        | sk3 != X4
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X4
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(nil) )
    | ~ spl0_90 ),
    inference(forward_subsumption_demodulation,[],[f2464,f73]) ).

fof(f2464,plain,
    ( ! [X4] :
        ( ~ ssList(nil)
        | sk3 != app(X4,nil)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X4
        | ~ ssList(X4)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_90 ),
    inference(superposition,[],[f151,f948]) ).

fof(f2837,plain,
    ( ~ spl0_5
    | ~ spl0_38
    | spl0_264
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2836,f910,f349,f2810,f448,f249]) ).

fof(f2836,plain,
    ( ! [X1] :
        ( sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(nil)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f2835,f912]) ).

fof(f2835,plain,
    ( ! [X1] :
        ( nil = X1
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X1) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f766,f912]) ).

fof(f2834,plain,
    ( ~ spl0_5
    | spl0_264
    | ~ spl0_38
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2833,f910,f349,f448,f2810,f249]) ).

fof(f2833,plain,
    ( ! [X1] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | nil = X1
        | ~ ssList(X1)
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | ~ ssList(nil) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f2832,f912]) ).

fof(f2832,plain,
    ( ! [X1] :
        ( nil = X1
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X1)
        | ~ ssList(X1)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f763,f912]) ).

fof(f2831,plain,
    ( ~ spl0_38
    | ~ spl0_5
    | spl0_265
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2830,f946,f2823,f249,f448]) ).

fof(f2830,plain,
    ( ! [X5] :
        ( sk3 != X5
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X5
        | ~ ssList(nil)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X5) )
    | ~ spl0_90 ),
    inference(forward_subsumption_demodulation,[],[f2465,f73]) ).

fof(f2465,plain,
    ( ! [X5] :
        ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X5
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X5)
        | sk3 != app(X5,nil)
        | ~ ssList(nil) )
    | ~ spl0_90 ),
    inference(superposition,[],[f151,f948]) ).

fof(f2829,plain,
    ( ~ spl0_38
    | ~ spl0_5
    | spl0_265
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2828,f910,f349,f2823,f249,f448]) ).

fof(f2828,plain,
    ( ! [X7] :
        ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X7
        | sk3 != X7
        | ~ ssList(nil)
        | ~ ssList(X7)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_subsumption_demodulation,[],[f2827,f73]) ).

fof(f2827,plain,
    ( ! [X7] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(X7,nil)
        | ~ ssList(nil)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X7
        | ~ ssList(X7) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f2826,f912]) ).

fof(f2826,plain,
    ( ! [X7] :
        ( ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | sk3 != app(X7,nil)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X7
        | ~ ssList(X7)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f1061,f912]) ).

fof(f2825,plain,
    ( ~ spl0_38
    | ~ spl0_5
    | spl0_265
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2821,f910,f349,f2823,f249,f448]) ).

fof(f2821,plain,
    ( ! [X6] :
        ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X6
        | ~ ssList(X6)
        | ~ ssList(nil)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != X6 )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_subsumption_demodulation,[],[f2820,f73]) ).

fof(f2820,plain,
    ( ! [X6] :
        ( app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X6
        | sk3 != app(X6,nil)
        | ~ ssList(X6)
        | ~ ssList(nil)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f2819,f912]) ).

fof(f2819,plain,
    ( ! [X6] :
        ( ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | sk3 != app(X6,nil)
        | app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))) = X6
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X6) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f1060,f912]) ).

fof(f2818,plain,
    ( spl0_264
    | ~ spl0_38
    | ~ spl0_5
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2462,f946,f249,f448,f2810]) ).

fof(f2462,plain,
    ( ! [X2] :
        ( ~ ssList(nil)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X2)
        | nil = X2
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X2) )
    | ~ spl0_90 ),
    inference(superposition,[],[f150,f948]) ).

fof(f2815,plain,
    ( ~ spl0_38
    | ~ spl0_5
    | spl0_43
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2460,f946,f470,f249,f448]) ).

fof(f2460,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X0)
        | ~ ssList(nil)
        | ~ ssItem(X0)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_90 ),
    inference(superposition,[],[f140,f948]) ).

fof(f2814,plain,
    ( ~ spl0_38
    | ~ spl0_5
    | spl0_264
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2463,f946,f2810,f249,f448]) ).

fof(f2463,plain,
    ( ! [X3] :
        ( nil = X3
        | ~ ssList(X3)
        | ~ ssList(nil)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X3) )
    | ~ spl0_90 ),
    inference(superposition,[],[f150,f948]) ).

fof(f2813,plain,
    ( ~ spl0_7
    | ~ spl0_40
    | ~ spl0_42
    | spl0_41
    | ~ spl0_38
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1052,f349,f448,f461,f465,f457,f260]) ).

fof(f1052,plain,
    ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | memberP(sk3,skaf65(sk3))
    | ~ ssList(skaf68(sk3))
    | ~ ssItem(skaf65(sk3))
    | ~ ssList(sk3)
    | ~ spl0_22 ),
    inference(superposition,[],[f198,f351]) ).

fof(f2812,plain,
    ( ~ spl0_5
    | ~ spl0_38
    | spl0_264
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2808,f910,f349,f2810,f448,f249]) ).

fof(f2808,plain,
    ( ! [X5] :
        ( nil = X5
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X5)
        | ~ ssList(X5)
        | ~ ssList(nil) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f2807,f912]) ).

fof(f2807,plain,
    ( ! [X5] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | nil = X5
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | sk3 != app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X5)
        | ~ ssList(X5) )
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(forward_demodulation,[],[f1059,f912]) ).

fof(f2806,plain,
    spl0_262,
    inference(avatar_contradiction_clause,[],[f2805]) ).

fof(f2805,plain,
    ( $false
    | spl0_262 ),
    inference(resolution,[],[f2702,f31]) ).

fof(f2702,plain,
    ( ~ ssItem(skaf64(sk3))
    | spl0_262 ),
    inference(avatar_component_clause,[],[f2700]) ).

fof(f2787,plain,
    ( ~ spl0_233
    | ~ spl0_230
    | spl0_227
    | ~ spl0_17
    | spl0_263
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2780,f1265,f2784,f308,f2329,f2340,f2352]) ).

fof(f2352,plain,
    ( spl0_233
  <=> totalorderedP(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f2784,plain,
    ( spl0_263
  <=> totalorderedP(cons(sk5,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f1265,plain,
    ( spl0_138
  <=> sk5 = hd(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2780,plain,
    ( totalorderedP(cons(sk5,cons(sk5,nil)))
    | ~ ssItem(sk5)
    | nil = cons(sk5,nil)
    | ~ ssList(cons(sk5,nil))
    | ~ totalorderedP(cons(sk5,nil))
    | ~ spl0_138 ),
    inference(superposition,[],[f365,f1267]) ).

fof(f1267,plain,
    ( sk5 = hd(cons(sk5,nil))
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f1265]) ).

fof(f2740,plain,
    spl0_261,
    inference(avatar_contradiction_clause,[],[f2739]) ).

fof(f2739,plain,
    ( $false
    | spl0_261 ),
    inference(resolution,[],[f2698,f28]) ).

fof(f2698,plain,
    ( ~ ssList(skaf67(sk3))
    | spl0_261 ),
    inference(avatar_component_clause,[],[f2696]) ).

fof(f2703,plain,
    ( ~ spl0_261
    | ~ spl0_262
    | spl0_142 ),
    inference(avatar_split_clause,[],[f2694,f1287,f2700,f2696]) ).

fof(f2694,plain,
    ( ~ ssItem(skaf64(sk3))
    | ~ ssList(skaf67(sk3))
    | spl0_142 ),
    inference(resolution,[],[f1289,f86]) ).

fof(f1289,plain,
    ( ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
    | spl0_142 ),
    inference(avatar_component_clause,[],[f1287]) ).

fof(f2669,plain,
    ( ~ spl0_260
    | ~ spl0_234
    | spl0_236 ),
    inference(avatar_split_clause,[],[f2664,f2391,f2381,f2666]) ).

fof(f2664,plain,
    ( skaf65(nil) != skaf65(sk3)
    | ~ spl0_234
    | spl0_236 ),
    inference(superposition,[],[f2393,f2382]) ).

fof(f2620,plain,
    ( ~ spl0_259
    | spl0_203
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f2610,f2381,f2097,f2617]) ).

fof(f2610,plain,
    ( sk5 != skaf65(sk3)
    | spl0_203
    | ~ spl0_234 ),
    inference(superposition,[],[f2099,f2382]) ).

fof(f2099,plain,
    ( sk5 != hd(nil)
    | spl0_203 ),
    inference(avatar_component_clause,[],[f2097]) ).

fof(f2607,plain,
    ( ~ spl0_17
    | ~ spl0_10
    | spl0_233 ),
    inference(avatar_split_clause,[],[f2606,f2352,f275,f308]) ).

fof(f275,plain,
    ( spl0_10
  <=> ! [X1] :
        ( totalorderedP(cons(X1,nil))
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2606,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_10
    | spl0_233 ),
    inference(resolution,[],[f2354,f276]) ).

fof(f276,plain,
    ( ! [X1] :
        ( totalorderedP(cons(X1,nil))
        | ~ ssItem(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f2354,plain,
    ( ~ totalorderedP(cons(sk5,nil))
    | spl0_233 ),
    inference(avatar_component_clause,[],[f2352]) ).

fof(f2599,plain,
    ( spl0_258
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f2561,f2340,f308,f2596]) ).

fof(f2596,plain,
    ( spl0_258
  <=> sk5 = hd(cons(sk5,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f2561,plain,
    ( sk5 = hd(cons(sk5,cons(sk5,nil)))
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(resolution,[],[f2341,f553]) ).

fof(f2594,plain,
    ( spl0_257
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f2562,f2340,f308,f2591]) ).

fof(f2591,plain,
    ( spl0_257
  <=> app(cons(sk5,nil),cons(sk5,nil)) = cons(sk5,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f2562,plain,
    ( app(cons(sk5,nil),cons(sk5,nil)) = cons(sk5,cons(sk5,nil))
    | ~ spl0_17
    | ~ spl0_230 ),
    inference(resolution,[],[f2341,f598]) ).

fof(f2588,plain,
    ( spl0_256
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f2554,f2340,f2585]) ).

fof(f2585,plain,
    ( spl0_256
  <=> app(nil,cons(sk5,nil)) = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f2554,plain,
    ( app(nil,cons(sk5,nil)) = cons(sk5,nil)
    | ~ spl0_230 ),
    inference(resolution,[],[f2341,f74]) ).

fof(f2581,plain,
    ( spl0_227
    | spl0_255
    | ~ spl0_138
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f2576,f2340,f1265,f2578,f2329]) ).

fof(f2578,plain,
    ( spl0_255
  <=> cons(sk5,nil) = cons(sk5,tl(cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f2576,plain,
    ( cons(sk5,nil) = cons(sk5,tl(cons(sk5,nil)))
    | nil = cons(sk5,nil)
    | ~ spl0_138
    | ~ spl0_230 ),
    inference(forward_demodulation,[],[f2555,f1267]) ).

fof(f2555,plain,
    ( nil = cons(sk5,nil)
    | cons(sk5,nil) = cons(hd(cons(sk5,nil)),tl(cons(sk5,nil)))
    | ~ spl0_230 ),
    inference(resolution,[],[f2341,f104]) ).

fof(f2575,plain,
    ( spl0_233
    | spl0_254
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f2558,f2340,f2572,f2352]) ).

fof(f2572,plain,
    ( spl0_254
  <=> app(app(skaf66(cons(sk5,nil)),cons(skaf64(cons(sk5,nil)),skaf67(cons(sk5,nil)))),cons(skaf65(cons(sk5,nil)),skaf68(cons(sk5,nil)))) = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f2558,plain,
    ( app(app(skaf66(cons(sk5,nil)),cons(skaf64(cons(sk5,nil)),skaf67(cons(sk5,nil)))),cons(skaf65(cons(sk5,nil)),skaf68(cons(sk5,nil)))) = cons(sk5,nil)
    | totalorderedP(cons(sk5,nil))
    | ~ spl0_230 ),
    inference(resolution,[],[f2341,f164]) ).

fof(f2570,plain,
    ( spl0_253
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f2565,f2340,f2016,f639,f2567]) ).

fof(f2567,plain,
    ( spl0_253
  <=> sk5 = hd(app(sk3,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f2565,plain,
    ( sk5 = hd(app(sk3,cons(sk5,nil)))
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_230 ),
    inference(resolution,[],[f2341,f2021]) ).

fof(f2545,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | spl0_230 ),
    inference(avatar_split_clause,[],[f2544,f2340,f308,f249]) ).

fof(f2544,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | spl0_230 ),
    inference(resolution,[],[f2342,f86]) ).

fof(f2342,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_230 ),
    inference(avatar_component_clause,[],[f2340]) ).

fof(f2542,plain,
    ( ~ spl0_17
    | spl0_252
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2521,f1459,f2540,f308]) ).

fof(f2540,plain,
    ( spl0_252
  <=> ! [X9,X8,X10] :
        ( app(skaf42(app(X8,app(X9,X10)),sk5),cons(sk5,skaf43(sk5,app(X8,app(X9,X10))))) = app(X8,app(X9,X10))
        | ~ memberP(X9,sk5)
        | ~ ssList(X9)
        | ~ ssList(X10)
        | ~ ssList(X8)
        | ~ ssList(app(X8,app(X9,X10)))
        | ~ ssList(app(X9,X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f2521,plain,
    ( ! [X10,X8,X9] :
        ( app(skaf42(app(X8,app(X9,X10)),sk5),cons(sk5,skaf43(sk5,app(X8,app(X9,X10))))) = app(X8,app(X9,X10))
        | ~ ssList(app(X9,X10))
        | ~ ssList(app(X8,app(X9,X10)))
        | ~ ssList(X8)
        | ~ ssList(X10)
        | ~ ssItem(sk5)
        | ~ ssList(X9)
        | ~ memberP(X9,sk5) )
    | ~ spl0_161 ),
    inference(resolution,[],[f1460,f140]) ).

fof(f2538,plain,
    ( ~ spl0_17
    | spl0_251
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2520,f1459,f2536,f308]) ).

fof(f2536,plain,
    ( spl0_251
  <=> ! [X6,X5,X7] :
        ( ~ ssList(X7)
        | ~ memberP(X7,sk5)
        | ~ ssList(app(X6,X7))
        | ~ ssList(X5)
        | ~ ssList(app(X5,app(X6,X7)))
        | app(skaf42(app(X5,app(X6,X7)),sk5),cons(sk5,skaf43(sk5,app(X5,app(X6,X7))))) = app(X5,app(X6,X7))
        | ~ ssList(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f2520,plain,
    ( ! [X6,X7,X5] :
        ( ~ ssList(X7)
        | ~ ssItem(sk5)
        | ~ ssList(X6)
        | app(skaf42(app(X5,app(X6,X7)),sk5),cons(sk5,skaf43(sk5,app(X5,app(X6,X7))))) = app(X5,app(X6,X7))
        | ~ ssList(app(X5,app(X6,X7)))
        | ~ ssList(X5)
        | ~ ssList(app(X6,X7))
        | ~ memberP(X7,sk5) )
    | ~ spl0_161 ),
    inference(resolution,[],[f1460,f141]) ).

fof(f2534,plain,
    ( ~ spl0_17
    | spl0_250
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2519,f1459,f2532,f308]) ).

fof(f2532,plain,
    ( spl0_250
  <=> ! [X4,X2,X3] :
        ( ~ ssList(cons(X3,X4))
        | ~ ssList(X2)
        | ~ ssList(app(X2,cons(X3,X4)))
        | ~ memberP(X4,sk5)
        | ~ ssItem(X3)
        | ~ ssList(X4)
        | app(X2,cons(X3,X4)) = app(skaf42(app(X2,cons(X3,X4)),sk5),cons(sk5,skaf43(sk5,app(X2,cons(X3,X4))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f2519,plain,
    ( ! [X2,X3,X4] :
        ( ~ ssList(cons(X3,X4))
        | ~ ssItem(sk5)
        | app(X2,cons(X3,X4)) = app(skaf42(app(X2,cons(X3,X4)),sk5),cons(sk5,skaf43(sk5,app(X2,cons(X3,X4)))))
        | ~ ssList(X4)
        | ~ ssItem(X3)
        | ~ memberP(X4,sk5)
        | ~ ssList(app(X2,cons(X3,X4)))
        | ~ ssList(X2) )
    | ~ spl0_161 ),
    inference(resolution,[],[f1460,f139]) ).

fof(f2530,plain,
    ( spl0_249
    | ~ spl0_7
    | ~ spl0_36
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2522,f1459,f440,f260,f2528]) ).

fof(f2528,plain,
    ( spl0_249
  <=> ! [X11] :
        ( ~ ssList(app(X11,sk3))
        | app(skaf42(app(X11,sk3),sk5),cons(sk5,skaf43(sk5,app(X11,sk3)))) = app(X11,sk3)
        | ~ ssList(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f2522,plain,
    ( ! [X11] :
        ( ~ ssList(sk3)
        | ~ ssList(app(X11,sk3))
        | ~ ssList(X11)
        | app(skaf42(app(X11,sk3),sk5),cons(sk5,skaf43(sk5,app(X11,sk3)))) = app(X11,sk3) )
    | ~ spl0_36
    | ~ spl0_161 ),
    inference(resolution,[],[f1460,f441]) ).

fof(f441,plain,
    ( memberP(sk3,sk5)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f2526,plain,
    ( ~ spl0_17
    | spl0_248
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2518,f1459,f2524,f308]) ).

fof(f2524,plain,
    ( spl0_248
  <=> ! [X0,X1] :
        ( ~ ssList(X1)
        | app(skaf42(app(X0,cons(sk5,X1)),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,X1))))) = app(X0,cons(sk5,X1))
        | ~ ssList(cons(sk5,X1))
        | ~ ssList(X0)
        | ~ ssList(app(X0,cons(sk5,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f2518,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssList(app(X0,cons(sk5,X1)))
        | ~ ssList(cons(sk5,X1))
        | ~ ssItem(sk5)
        | app(skaf42(app(X0,cons(sk5,X1)),sk5),cons(sk5,skaf43(sk5,app(X0,cons(sk5,X1))))) = app(X0,cons(sk5,X1)) )
    | ~ spl0_161 ),
    inference(resolution,[],[f1460,f225]) ).

fof(f2517,plain,
    ( ~ spl0_17
    | spl0_229 ),
    inference(avatar_split_clause,[],[f2516,f2336,f308]) ).

fof(f2336,plain,
    ( spl0_229
  <=> strictorderedP(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f2516,plain,
    ( ~ ssItem(sk5)
    | spl0_229 ),
    inference(resolution,[],[f2338,f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f2338,plain,
    ( ~ strictorderedP(cons(sk5,nil))
    | spl0_229 ),
    inference(avatar_component_clause,[],[f2336]) ).

fof(f2515,plain,
    ( ~ spl0_17
    | spl0_247
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2511,f1451,f2513,f308]) ).

fof(f2513,plain,
    ( spl0_247
  <=> ! [X6,X5,X7] :
        ( ~ ssList(app(X5,X6))
        | app(skaf42(app(X5,app(X6,X7)),sk5),cons(sk5,skaf43(sk5,app(X5,app(X6,X7))))) = app(X5,app(X6,X7))
        | ~ ssList(X7)
        | ~ ssList(X5)
        | ~ ssList(app(X5,app(X6,X7)))
        | ~ ssList(X6)
        | ~ memberP(X6,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f2511,plain,
    ( ! [X6,X7,X5] :
        ( ~ ssList(app(X5,X6))
        | ~ memberP(X6,sk5)
        | ~ ssItem(sk5)
        | ~ ssList(X6)
        | ~ ssList(app(X5,app(X6,X7)))
        | ~ ssList(X5)
        | ~ ssList(X7)
        | app(skaf42(app(X5,app(X6,X7)),sk5),cons(sk5,skaf43(sk5,app(X5,app(X6,X7))))) = app(X5,app(X6,X7)) )
    | ~ spl0_159 ),
    inference(forward_subsumption_demodulation,[],[f2510,f149]) ).

fof(f2510,plain,
    ( ! [X6,X7,X5] :
        ( ~ ssList(X5)
        | ~ ssList(app(X5,X6))
        | ~ ssItem(sk5)
        | ~ memberP(X6,sk5)
        | ~ ssList(X6)
        | ~ ssList(app(X5,app(X6,X7)))
        | app(app(X5,X6),X7) = app(skaf42(app(app(X5,X6),X7),sk5),cons(sk5,skaf43(sk5,app(app(X5,X6),X7))))
        | ~ ssList(X7) )
    | ~ spl0_159 ),
    inference(forward_subsumption_demodulation,[],[f2485,f149]) ).

fof(f2485,plain,
    ( ! [X6,X7,X5] :
        ( ~ memberP(X6,sk5)
        | ~ ssList(X6)
        | ~ ssItem(sk5)
        | ~ ssList(app(X5,X6))
        | ~ ssList(app(app(X5,X6),X7))
        | ~ ssList(X5)
        | app(app(X5,X6),X7) = app(skaf42(app(app(X5,X6),X7),sk5),cons(sk5,skaf43(sk5,app(app(X5,X6),X7))))
        | ~ ssList(X7) )
    | ~ spl0_159 ),
    inference(resolution,[],[f1452,f141]) ).

fof(f2509,plain,
    ( ~ spl0_17
    | spl0_246
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2505,f1451,f2507,f308]) ).

fof(f2507,plain,
    ( spl0_246
  <=> ! [X0,X1] :
        ( app(skaf42(cons(sk5,app(X0,X1)),sk5),cons(sk5,skaf43(sk5,cons(sk5,app(X0,X1))))) = cons(sk5,app(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssList(cons(sk5,app(X0,X1)))
        | ~ ssList(cons(sk5,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f2505,plain,
    ( ! [X0,X1] :
        ( app(skaf42(cons(sk5,app(X0,X1)),sk5),cons(sk5,skaf43(sk5,cons(sk5,app(X0,X1))))) = cons(sk5,app(X0,X1))
        | ~ ssList(cons(sk5,X0))
        | ~ ssList(cons(sk5,app(X0,X1)))
        | ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(sk5) )
    | ~ spl0_159 ),
    inference(forward_subsumption_demodulation,[],[f2504,f157]) ).

fof(f2504,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(sk5,X0))
        | ~ ssList(cons(sk5,app(X0,X1)))
        | ~ ssItem(sk5)
        | ~ ssList(X0)
        | app(cons(sk5,X0),X1) = app(skaf42(app(cons(sk5,X0),X1),sk5),cons(sk5,skaf43(sk5,app(cons(sk5,X0),X1))))
        | ~ ssList(X1) )
    | ~ spl0_159 ),
    inference(forward_subsumption_demodulation,[],[f2483,f157]) ).

fof(f2483,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssItem(sk5)
        | ~ ssList(cons(sk5,X0))
        | ~ ssList(X1)
        | ~ ssList(app(cons(sk5,X0),X1))
        | app(cons(sk5,X0),X1) = app(skaf42(app(cons(sk5,X0),X1),sk5),cons(sk5,skaf43(sk5,app(cons(sk5,X0),X1)))) )
    | ~ spl0_159 ),
    inference(resolution,[],[f1452,f225]) ).

fof(f2503,plain,
    ( ~ spl0_17
    | spl0_245
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2499,f1451,f2501,f308]) ).

fof(f2501,plain,
    ( spl0_245
  <=> ! [X9,X8,X10] :
        ( ~ ssList(app(X8,app(X9,X10)))
        | app(skaf42(app(X8,app(X9,X10)),sk5),cons(sk5,skaf43(sk5,app(X8,app(X9,X10))))) = app(X8,app(X9,X10))
        | ~ ssList(X8)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ ssList(app(X8,X9))
        | ~ memberP(X8,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f2499,plain,
    ( ! [X10,X8,X9] :
        ( ~ ssList(app(X8,app(X9,X10)))
        | ~ memberP(X8,sk5)
        | ~ ssList(app(X8,X9))
        | ~ ssItem(sk5)
        | ~ ssList(X9)
        | ~ ssList(X10)
        | ~ ssList(X8)
        | app(skaf42(app(X8,app(X9,X10)),sk5),cons(sk5,skaf43(sk5,app(X8,app(X9,X10))))) = app(X8,app(X9,X10)) )
    | ~ spl0_159 ),
    inference(forward_subsumption_demodulation,[],[f2498,f149]) ).

fof(f2498,plain,
    ( ! [X10,X8,X9] :
        ( app(skaf42(app(app(X8,X9),X10),sk5),cons(sk5,skaf43(sk5,app(app(X8,X9),X10)))) = app(app(X8,X9),X10)
        | ~ ssList(app(X8,X9))
        | ~ ssList(X8)
        | ~ ssItem(sk5)
        | ~ ssList(X10)
        | ~ ssList(X9)
        | ~ memberP(X8,sk5)
        | ~ ssList(app(X8,app(X9,X10))) )
    | ~ spl0_159 ),
    inference(forward_subsumption_demodulation,[],[f2486,f149]) ).

fof(f2486,plain,
    ( ! [X10,X8,X9] :
        ( ~ ssList(X8)
        | ~ memberP(X8,sk5)
        | ~ ssList(X10)
        | ~ ssList(app(app(X8,X9),X10))
        | ~ ssList(app(X8,X9))
        | ~ ssList(X9)
        | app(skaf42(app(app(X8,X9),X10),sk5),cons(sk5,skaf43(sk5,app(app(X8,X9),X10)))) = app(app(X8,X9),X10)
        | ~ ssItem(sk5) )
    | ~ spl0_159 ),
    inference(resolution,[],[f1452,f140]) ).

fof(f2497,plain,
    ( ~ spl0_17
    | spl0_244
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2493,f1451,f2495,f308]) ).

fof(f2495,plain,
    ( spl0_244
  <=> ! [X4,X2,X3] :
        ( ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssList(cons(X2,app(X3,X4)))
        | ~ ssItem(X2)
        | ~ ssList(cons(X2,X3))
        | ~ memberP(X3,sk5)
        | cons(X2,app(X3,X4)) = app(skaf42(cons(X2,app(X3,X4)),sk5),cons(sk5,skaf43(sk5,cons(X2,app(X3,X4))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f2493,plain,
    ( ! [X2,X3,X4] :
        ( ~ ssList(X3)
        | cons(X2,app(X3,X4)) = app(skaf42(cons(X2,app(X3,X4)),sk5),cons(sk5,skaf43(sk5,cons(X2,app(X3,X4)))))
        | ~ memberP(X3,sk5)
        | ~ ssList(cons(X2,X3))
        | ~ ssItem(X2)
        | ~ ssItem(sk5)
        | ~ ssList(cons(X2,app(X3,X4)))
        | ~ ssList(X4) )
    | ~ spl0_159 ),
    inference(forward_subsumption_demodulation,[],[f2492,f157]) ).

fof(f2492,plain,
    ( ! [X2,X3,X4] :
        ( ~ ssList(cons(X2,X3))
        | ~ ssItem(sk5)
        | ~ memberP(X3,sk5)
        | ~ ssList(app(cons(X2,X3),X4))
        | ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssItem(X2)
        | cons(X2,app(X3,X4)) = app(skaf42(cons(X2,app(X3,X4)),sk5),cons(sk5,skaf43(sk5,cons(X2,app(X3,X4))))) )
    | ~ spl0_159 ),
    inference(forward_subsumption_demodulation,[],[f2484,f157]) ).

fof(f2484,plain,
    ( ! [X2,X3,X4] :
        ( ~ memberP(X3,sk5)
        | ~ ssItem(X2)
        | ~ ssList(cons(X2,X3))
        | ~ ssList(X4)
        | ~ ssList(X3)
        | ~ ssItem(sk5)
        | app(cons(X2,X3),X4) = app(skaf42(app(cons(X2,X3),X4),sk5),cons(sk5,skaf43(sk5,app(cons(X2,X3),X4))))
        | ~ ssList(app(cons(X2,X3),X4)) )
    | ~ spl0_159 ),
    inference(resolution,[],[f1452,f139]) ).

fof(f2491,plain,
    ( ~ spl0_7
    | spl0_243
    | ~ spl0_36
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2487,f1451,f440,f2489,f260]) ).

fof(f2489,plain,
    ( spl0_243
  <=> ! [X11] :
        ( app(sk3,X11) = app(skaf42(app(sk3,X11),sk5),cons(sk5,skaf43(sk5,app(sk3,X11))))
        | ~ ssList(app(sk3,X11))
        | ~ ssList(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f2487,plain,
    ( ! [X11] :
        ( app(sk3,X11) = app(skaf42(app(sk3,X11),sk5),cons(sk5,skaf43(sk5,app(sk3,X11))))
        | ~ ssList(X11)
        | ~ ssList(sk3)
        | ~ ssList(app(sk3,X11)) )
    | ~ spl0_36
    | ~ spl0_159 ),
    inference(resolution,[],[f1452,f441]) ).

fof(f2456,plain,
    ( ~ spl0_242
    | spl0_197
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f2436,f2381,f2064,f2453]) ).

fof(f2064,plain,
    ( spl0_197
  <=> lt(sk5,hd(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f2436,plain,
    ( ~ lt(sk5,skaf65(sk3))
    | spl0_197
    | ~ spl0_234 ),
    inference(backward_demodulation,[],[f2066,f2382]) ).

fof(f2066,plain,
    ( ~ lt(sk5,hd(nil))
    | spl0_197 ),
    inference(avatar_component_clause,[],[f2064]) ).

fof(f2451,plain,
    ( ~ spl0_241
    | spl0_152
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f2433,f2381,f1396,f2448]) ).

fof(f1396,plain,
    ( spl0_152
  <=> lt(hd(nil),hd(tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2433,plain,
    ( ~ lt(skaf65(sk3),hd(tl(nil)))
    | spl0_152
    | ~ spl0_234 ),
    inference(backward_demodulation,[],[f1398,f2382]) ).

fof(f1398,plain,
    ( ~ lt(hd(nil),hd(tl(nil)))
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1396]) ).

fof(f2446,plain,
    ( ~ spl0_240
    | spl0_151
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f2432,f2381,f1391,f2443]) ).

fof(f1391,plain,
    ( spl0_151
  <=> leq(hd(nil),hd(tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2432,plain,
    ( ~ leq(skaf65(sk3),hd(tl(nil)))
    | spl0_151
    | ~ spl0_234 ),
    inference(backward_demodulation,[],[f1393,f2382]) ).

fof(f1393,plain,
    ( ~ leq(hd(nil),hd(tl(nil)))
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1391]) ).

fof(f2441,plain,
    ( ~ spl0_239
    | spl0_156
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f2434,f2381,f1420,f2438]) ).

fof(f2438,plain,
    ( spl0_239
  <=> memberP(nil,skaf65(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f1420,plain,
    ( spl0_156
  <=> memberP(nil,hd(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2434,plain,
    ( ~ memberP(nil,skaf65(sk3))
    | spl0_156
    | ~ spl0_234 ),
    inference(backward_demodulation,[],[f1422,f2382]) ).

fof(f1422,plain,
    ( ~ memberP(nil,hd(nil))
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1420]) ).

fof(f2427,plain,
    ( spl0_234
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2426,f1639,f2381]) ).

fof(f1639,plain,
    ( spl0_169
  <=> hd(cons(skaf65(sk3),skaf68(sk3))) = hd(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2426,plain,
    ( skaf65(sk3) = hd(nil)
    | ~ spl0_169 ),
    inference(forward_demodulation,[],[f1640,f2361]) ).

fof(f1640,plain,
    ( hd(cons(skaf65(sk3),skaf68(sk3))) = hd(nil)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1639]) ).

fof(f2425,plain,
    ( ~ spl0_238
    | ~ spl0_83
    | spl0_235 ),
    inference(avatar_split_clause,[],[f2420,f2386,f910,f2422]) ).

fof(f2420,plain,
    ( nil != cons(skaf65(sk3),tl(nil))
    | ~ spl0_83
    | spl0_235 ),
    inference(forward_demodulation,[],[f2387,f912]) ).

fof(f2387,plain,
    ( cons(skaf65(sk3),tl(cons(skaf65(sk3),skaf68(sk3)))) != cons(skaf65(sk3),skaf68(sk3))
    | spl0_235 ),
    inference(avatar_component_clause,[],[f2386]) ).

fof(f2417,plain,
    ( spl0_90
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2400,f910,f349,f946]) ).

fof(f2400,plain,
    ( sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),nil)
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(backward_demodulation,[],[f351,f912]) ).

fof(f2399,plain,
    ( spl0_237
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2375,f1012,f2396]) ).

fof(f1012,plain,
    ( spl0_99
  <=> cons(hd(cons(skaf65(nil),skaf68(nil))),tl(cons(skaf65(nil),skaf68(nil)))) = cons(skaf65(nil),skaf68(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2375,plain,
    ( cons(skaf65(nil),tl(cons(skaf65(nil),skaf68(nil)))) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_99 ),
    inference(backward_demodulation,[],[f1014,f2361]) ).

fof(f1014,plain,
    ( cons(hd(cons(skaf65(nil),skaf68(nil))),tl(cons(skaf65(nil),skaf68(nil)))) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f2394,plain,
    ( ~ spl0_236
    | spl0_168 ),
    inference(avatar_split_clause,[],[f2374,f1631,f2391]) ).

fof(f1631,plain,
    ( spl0_168
  <=> hd(cons(skaf65(nil),skaf68(nil))) = hd(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2374,plain,
    ( skaf65(nil) != hd(nil)
    | spl0_168 ),
    inference(backward_demodulation,[],[f1633,f2361]) ).

fof(f1633,plain,
    ( hd(cons(skaf65(nil),skaf68(nil))) != hd(nil)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1631]) ).

fof(f2389,plain,
    ( spl0_235
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2379,f937,f2386]) ).

fof(f2384,plain,
    ( ~ spl0_234
    | spl0_169 ),
    inference(avatar_split_clause,[],[f2377,f1639,f2381]) ).

fof(f2377,plain,
    ( skaf65(sk3) != hd(nil)
    | spl0_169 ),
    inference(backward_demodulation,[],[f1641,f2361]) ).

fof(f1641,plain,
    ( hd(cons(skaf65(sk3),skaf68(sk3))) != hd(nil)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1639]) ).

fof(f2356,plain,
    ( ~ spl0_230
    | spl0_227
    | spl0_231
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2323,f1265,f2345,f2329,f2340]) ).

fof(f2345,plain,
    ( spl0_231
  <=> ! [X1] :
        ( nil = X1
        | ~ ssList(X1)
        | hd(X1) != sk5
        | tl(X1) != tl(cons(sk5,nil))
        | cons(sk5,nil) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f2323,plain,
    ( ! [X0] :
        ( tl(X0) != tl(cons(sk5,nil))
        | nil = cons(sk5,nil)
        | ~ ssList(X0)
        | hd(X0) != sk5
        | nil = X0
        | cons(sk5,nil) = X0
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_138 ),
    inference(superposition,[],[f177,f1267]) ).

fof(f2355,plain,
    ( spl0_227
    | ~ spl0_230
    | spl0_232
    | ~ spl0_233
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2327,f1265,f2352,f2349,f2340,f2329]) ).

fof(f2349,plain,
    ( spl0_232
  <=> ! [X3] :
        ( ~ leq(X3,sk5)
        | totalorderedP(cons(X3,cons(sk5,nil)))
        | ~ ssItem(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f2327,plain,
    ( ! [X3] :
        ( ~ totalorderedP(cons(sk5,nil))
        | ~ leq(X3,sk5)
        | ~ ssItem(X3)
        | totalorderedP(cons(X3,cons(sk5,nil)))
        | ~ ssList(cons(sk5,nil))
        | nil = cons(sk5,nil) )
    | ~ spl0_138 ),
    inference(superposition,[],[f159,f1267]) ).

fof(f2347,plain,
    ( spl0_227
    | spl0_231
    | ~ spl0_230
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2324,f1265,f2340,f2345,f2329]) ).

fof(f2324,plain,
    ( ! [X1] :
        ( ~ ssList(cons(sk5,nil))
        | nil = X1
        | cons(sk5,nil) = X1
        | tl(X1) != tl(cons(sk5,nil))
        | nil = cons(sk5,nil)
        | hd(X1) != sk5
        | ~ ssList(X1) )
    | ~ spl0_138 ),
    inference(superposition,[],[f177,f1267]) ).

fof(f2343,plain,
    ( spl0_227
    | spl0_228
    | ~ spl0_229
    | ~ spl0_230
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2325,f1265,f2340,f2336,f2333,f2329]) ).

fof(f2333,plain,
    ( spl0_228
  <=> ! [X2] :
        ( ~ lt(X2,sk5)
        | strictorderedP(cons(X2,cons(sk5,nil)))
        | ~ ssItem(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f2325,plain,
    ( ! [X2] :
        ( ~ ssList(cons(sk5,nil))
        | ~ strictorderedP(cons(sk5,nil))
        | ~ lt(X2,sk5)
        | nil = cons(sk5,nil)
        | ~ ssItem(X2)
        | strictorderedP(cons(X2,cons(sk5,nil))) )
    | ~ spl0_138 ),
    inference(superposition,[],[f160,f1267]) ).

fof(f2321,plain,
    ( spl0_53
    | ~ spl0_7
    | ~ spl0_17
    | spl0_2
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f2320,f2186,f234,f308,f260,f582]) ).

fof(f2186,plain,
    ( spl0_212
  <=> totalorderedP(cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f2320,plain,
    ( totalorderedP(sk3)
    | ~ ssItem(sk5)
    | ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_212 ),
    inference(resolution,[],[f2187,f125]) ).

fof(f2187,plain,
    ( totalorderedP(cons(sk5,sk3))
    | ~ spl0_212 ),
    inference(avatar_component_clause,[],[f2186]) ).

fof(f2311,plain,
    ( ~ spl0_17
    | spl0_226
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2302,f1455,f2309,f308]) ).

fof(f2309,plain,
    ( spl0_226
  <=> ! [X0] :
        ( cons(sk5,X0) = app(skaf42(cons(sk5,X0),sk5),cons(sk5,skaf43(sk5,cons(sk5,X0))))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f1455,plain,
    ( spl0_160
  <=> ! [X0] :
        ( ~ ssList(cons(sk5,X0))
        | cons(sk5,X0) = app(skaf42(cons(sk5,X0),sk5),cons(sk5,skaf43(sk5,cons(sk5,X0))))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2302,plain,
    ( ! [X0] :
        ( cons(sk5,X0) = app(skaf42(cons(sk5,X0),sk5),cons(sk5,skaf43(sk5,cons(sk5,X0))))
        | ~ ssItem(sk5)
        | ~ ssList(X0) )
    | ~ spl0_160 ),
    inference(duplicate_literal_removal,[],[f2300]) ).

fof(f2300,plain,
    ( ! [X0] :
        ( cons(sk5,X0) = app(skaf42(cons(sk5,X0),sk5),cons(sk5,skaf43(sk5,cons(sk5,X0))))
        | ~ ssItem(sk5)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl0_160 ),
    inference(resolution,[],[f1456,f86]) ).

fof(f1456,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sk5,X0))
        | ~ ssList(X0)
        | cons(sk5,X0) = app(skaf42(cons(sk5,X0),sk5),cons(sk5,skaf43(sk5,cons(sk5,X0)))) )
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1455]) ).

fof(f2307,plain,
    ( ~ spl0_7
    | spl0_225
    | ~ spl0_160
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2299,f2170,f1455,f2304,f260]) ).

fof(f2304,plain,
    ( spl0_225
  <=> cons(sk5,sk3) = app(skaf42(cons(sk5,sk3),sk5),cons(sk5,skaf43(sk5,cons(sk5,sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f2299,plain,
    ( cons(sk5,sk3) = app(skaf42(cons(sk5,sk3),sk5),cons(sk5,skaf43(sk5,cons(sk5,sk3))))
    | ~ ssList(sk3)
    | ~ spl0_160
    | ~ spl0_208 ),
    inference(resolution,[],[f1456,f2171]) ).

fof(f2298,plain,
    ( spl0_224
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2257,f2170,f2016,f639,f2295]) ).

fof(f2295,plain,
    ( spl0_224
  <=> sk5 = hd(app(sk3,cons(sk5,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f2257,plain,
    ( sk5 = hd(app(sk3,cons(sk5,sk3)))
    | ~ spl0_54
    | ~ spl0_194
    | ~ spl0_208 ),
    inference(resolution,[],[f2171,f2021]) ).

fof(f2293,plain,
    ( spl0_223
    | spl0_207
    | ~ spl0_137
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2289,f2170,f1260,f2166,f2291]) ).

fof(f2291,plain,
    ( spl0_223
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sk5 = hd(app(cons(sk5,sk3),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f1260,plain,
    ( spl0_137
  <=> sk5 = hd(cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2289,plain,
    ( ! [X0] :
        ( nil = cons(sk5,sk3)
        | ~ ssList(X0)
        | sk5 = hd(app(cons(sk5,sk3),X0)) )
    | ~ spl0_137
    | ~ spl0_208 ),
    inference(forward_demodulation,[],[f2250,f1262]) ).

fof(f1262,plain,
    ( sk5 = hd(cons(sk5,sk3))
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f1260]) ).

fof(f2250,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = cons(sk5,sk3)
        | hd(app(cons(sk5,sk3),X0)) = hd(cons(sk5,sk3)) )
    | ~ spl0_208 ),
    inference(resolution,[],[f2171,f123]) ).

fof(f2288,plain,
    ( spl0_222
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2247,f2170,f2285]) ).

fof(f2285,plain,
    ( spl0_222
  <=> cons(sk5,sk3) = app(cons(sk5,sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f2247,plain,
    ( cons(sk5,sk3) = app(cons(sk5,sk3),nil)
    | ~ spl0_208 ),
    inference(resolution,[],[f2171,f73]) ).

fof(f2283,plain,
    ( spl0_221
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2254,f2170,f308,f2280]) ).

fof(f2280,plain,
    ( spl0_221
  <=> cons(sk5,cons(sk5,sk3)) = app(cons(sk5,nil),cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f2254,plain,
    ( cons(sk5,cons(sk5,sk3)) = app(cons(sk5,nil),cons(sk5,sk3))
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(resolution,[],[f2171,f598]) ).

fof(f2278,plain,
    ( spl0_212
    | spl0_220
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2252,f2170,f2275,f2186]) ).

fof(f2275,plain,
    ( spl0_220
  <=> cons(sk5,sk3) = app(app(skaf66(cons(sk5,sk3)),cons(skaf64(cons(sk5,sk3)),skaf67(cons(sk5,sk3)))),cons(skaf65(cons(sk5,sk3)),skaf68(cons(sk5,sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f2252,plain,
    ( cons(sk5,sk3) = app(app(skaf66(cons(sk5,sk3)),cons(skaf64(cons(sk5,sk3)),skaf67(cons(sk5,sk3)))),cons(skaf65(cons(sk5,sk3)),skaf68(cons(sk5,sk3))))
    | totalorderedP(cons(sk5,sk3))
    | ~ spl0_208 ),
    inference(resolution,[],[f2171,f164]) ).

fof(f2273,plain,
    ( spl0_219
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2253,f2170,f308,f2270]) ).

fof(f2270,plain,
    ( spl0_219
  <=> sk5 = hd(cons(sk5,cons(sk5,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f2253,plain,
    ( sk5 = hd(cons(sk5,cons(sk5,sk3)))
    | ~ spl0_17
    | ~ spl0_208 ),
    inference(resolution,[],[f2171,f553]) ).

fof(f2268,plain,
    ( spl0_218
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2248,f2170,f2265]) ).

fof(f2265,plain,
    ( spl0_218
  <=> cons(sk5,sk3) = app(nil,cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f2248,plain,
    ( cons(sk5,sk3) = app(nil,cons(sk5,sk3))
    | ~ spl0_208 ),
    inference(resolution,[],[f2171,f74]) ).

fof(f2263,plain,
    ( spl0_207
    | spl0_217
    | ~ spl0_137
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2258,f2170,f1260,f2260,f2166]) ).

fof(f2260,plain,
    ( spl0_217
  <=> cons(sk5,tl(cons(sk5,sk3))) = cons(sk5,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f2258,plain,
    ( cons(sk5,tl(cons(sk5,sk3))) = cons(sk5,sk3)
    | nil = cons(sk5,sk3)
    | ~ spl0_137
    | ~ spl0_208 ),
    inference(forward_demodulation,[],[f2249,f1262]) ).

fof(f2249,plain,
    ( nil = cons(sk5,sk3)
    | cons(sk5,sk3) = cons(hd(cons(sk5,sk3)),tl(cons(sk5,sk3)))
    | ~ spl0_208 ),
    inference(resolution,[],[f2171,f104]) ).

fof(f2246,plain,
    ( ~ spl0_5
    | spl0_216 ),
    inference(avatar_split_clause,[],[f2237,f2243,f249]) ).

fof(f2243,plain,
    ( spl0_216
  <=> ! [X22,X21,X23] :
        ( nil = X23
        | ~ ssList(skaf42(X21,X22))
        | ~ ssList(X23)
        | app(X23,skaf42(X21,X22)) != skaf42(X21,X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f2237,plain,
    ! [X18,X19,X20] :
      ( nil = X20
      | ~ ssList(X20)
      | app(X20,skaf42(X18,X19)) != skaf42(X18,X19)
      | ~ ssList(skaf42(X18,X19))
      | ~ ssList(nil) ),
    inference(superposition,[],[f151,f513]) ).

fof(f513,plain,
    ! [X8,X9] : skaf42(X8,X9) = app(nil,skaf42(X8,X9)),
    inference(resolution,[],[f74,f53]) ).

fof(f2245,plain,
    ( spl0_216
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2238,f249,f2243]) ).

fof(f2238,plain,
    ! [X21,X22,X23] :
      ( ~ ssList(nil)
      | nil = X23
      | app(X23,skaf42(X21,X22)) != skaf42(X21,X22)
      | ~ ssList(X23)
      | ~ ssList(skaf42(X21,X22)) ),
    inference(superposition,[],[f151,f513]) ).

fof(f2229,plain,
    ( ~ spl0_17
    | ~ spl0_7
    | spl0_208 ),
    inference(avatar_split_clause,[],[f2228,f2170,f260,f308]) ).

fof(f2228,plain,
    ( ~ ssList(sk3)
    | ~ ssItem(sk5)
    | spl0_208 ),
    inference(resolution,[],[f2172,f86]) ).

fof(f2172,plain,
    ( ~ ssList(cons(sk5,sk3))
    | spl0_208 ),
    inference(avatar_component_clause,[],[f2170]) ).

fof(f2227,plain,
    ( ~ spl0_5
    | spl0_215 ),
    inference(avatar_split_clause,[],[f2219,f2223,f249]) ).

fof(f2223,plain,
    ( spl0_215
  <=> ! [X20,X18,X19] :
        ( ~ ssList(skaf43(X18,X19))
        | skaf43(X18,X19) != app(X20,skaf43(X18,X19))
        | nil = X20
        | ~ ssList(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f2219,plain,
    ! [X21,X22,X23] :
      ( skaf43(X21,X22) != app(X23,skaf43(X21,X22))
      | nil = X23
      | ~ ssList(X23)
      | ~ ssList(nil)
      | ~ ssList(skaf43(X21,X22)) ),
    inference(superposition,[],[f151,f512]) ).

fof(f512,plain,
    ! [X6,X7] : app(nil,skaf43(X6,X7)) = skaf43(X6,X7),
    inference(resolution,[],[f74,f52]) ).

fof(f2225,plain,
    ( ~ spl0_5
    | spl0_215 ),
    inference(avatar_split_clause,[],[f2218,f2223,f249]) ).

fof(f2218,plain,
    ! [X18,X19,X20] :
      ( ~ ssList(skaf43(X18,X19))
      | nil = X20
      | ~ ssList(X20)
      | skaf43(X18,X19) != app(X20,skaf43(X18,X19))
      | ~ ssList(nil) ),
    inference(superposition,[],[f151,f512]) ).

fof(f2210,plain,
    ( ~ spl0_5
    | spl0_214 ),
    inference(avatar_split_clause,[],[f2200,f2205,f249]) ).

fof(f2205,plain,
    ( spl0_214
  <=> ! [X13,X12,X14] :
        ( skaf42(X12,X13) != app(skaf42(X12,X13),X14)
        | ~ ssList(skaf42(X12,X13))
        | ~ ssList(X14)
        | nil = X14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f2200,plain,
    ! [X16,X17,X15] :
      ( skaf42(X15,X16) != app(skaf42(X15,X16),X17)
      | ~ ssList(skaf42(X15,X16))
      | ~ ssList(X17)
      | nil = X17
      | ~ ssList(nil) ),
    inference(superposition,[],[f150,f485]) ).

fof(f485,plain,
    ! [X8,X9] : skaf42(X8,X9) = app(skaf42(X8,X9),nil),
    inference(resolution,[],[f73,f53]) ).

fof(f2207,plain,
    ( ~ spl0_5
    | spl0_214 ),
    inference(avatar_split_clause,[],[f2199,f2205,f249]) ).

fof(f2199,plain,
    ! [X14,X12,X13] :
      ( skaf42(X12,X13) != app(skaf42(X12,X13),X14)
      | nil = X14
      | ~ ssList(X14)
      | ~ ssList(skaf42(X12,X13))
      | ~ ssList(nil) ),
    inference(superposition,[],[f150,f485]) ).

fof(f2193,plain,
    ( ~ spl0_208
    | spl0_209
    | spl0_207
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2161,f1260,f2166,f2174,f2170]) ).

fof(f2174,plain,
    ( spl0_209
  <=> ! [X0] :
        ( ~ ssList(X0)
        | hd(X0) != sk5
        | nil = X0
        | tl(X0) != tl(cons(sk5,sk3))
        | cons(sk5,sk3) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f2161,plain,
    ( ! [X1] :
        ( nil = cons(sk5,sk3)
        | hd(X1) != sk5
        | ~ ssList(cons(sk5,sk3))
        | tl(X1) != tl(cons(sk5,sk3))
        | cons(sk5,sk3) = X1
        | ~ ssList(X1)
        | nil = X1 )
    | ~ spl0_137 ),
    inference(superposition,[],[f177,f1262]) ).

fof(f2192,plain,
    ( ~ spl0_212
    | ~ spl0_208
    | spl0_213
    | spl0_207
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2164,f1260,f2166,f2190,f2170,f2186]) ).

fof(f2190,plain,
    ( spl0_213
  <=> ! [X3] :
        ( ~ leq(X3,sk5)
        | ~ ssItem(X3)
        | totalorderedP(cons(X3,cons(sk5,sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f2164,plain,
    ( ! [X3] :
        ( nil = cons(sk5,sk3)
        | ~ leq(X3,sk5)
        | totalorderedP(cons(X3,cons(sk5,sk3)))
        | ~ ssList(cons(sk5,sk3))
        | ~ ssItem(X3)
        | ~ totalorderedP(cons(sk5,sk3)) )
    | ~ spl0_137 ),
    inference(superposition,[],[f159,f1262]) ).

fof(f2184,plain,
    ( ~ spl0_210
    | ~ spl0_208
    | spl0_207
    | spl0_211
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2162,f1260,f2182,f2166,f2170,f2178]) ).

fof(f2182,plain,
    ( spl0_211
  <=> ! [X2] :
        ( ~ lt(X2,sk5)
        | ~ ssItem(X2)
        | strictorderedP(cons(X2,cons(sk5,sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f2162,plain,
    ( ! [X2] :
        ( ~ lt(X2,sk5)
        | nil = cons(sk5,sk3)
        | strictorderedP(cons(X2,cons(sk5,sk3)))
        | ~ ssItem(X2)
        | ~ ssList(cons(sk5,sk3))
        | ~ strictorderedP(cons(sk5,sk3)) )
    | ~ spl0_137 ),
    inference(superposition,[],[f160,f1262]) ).

fof(f2176,plain,
    ( spl0_207
    | ~ spl0_208
    | spl0_209
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2160,f1260,f2174,f2170,f2166]) ).

fof(f2160,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(cons(sk5,sk3))
        | cons(sk5,sk3) = X0
        | nil = cons(sk5,sk3)
        | tl(X0) != tl(cons(sk5,sk3))
        | nil = X0
        | hd(X0) != sk5 )
    | ~ spl0_137 ),
    inference(superposition,[],[f177,f1262]) ).

fof(f2124,plain,
    ( spl0_53
    | ~ spl0_7
    | spl0_206
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2115,f2016,f2121,f260,f582]) ).

fof(f2121,plain,
    ( spl0_206
  <=> ! [X1] :
        ( ~ ssList(X1)
        | hd(X1) != sk5
        | sk3 = X1
        | nil = X1
        | tl(X1) != tl(sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f2115,plain,
    ( ! [X0] :
        ( hd(X0) != sk5
        | ~ ssList(sk3)
        | nil = X0
        | nil = sk3
        | sk3 = X0
        | tl(X0) != tl(sk3)
        | ~ ssList(X0) )
    | ~ spl0_194 ),
    inference(superposition,[],[f177,f2018]) ).

fof(f2123,plain,
    ( spl0_53
    | spl0_206
    | ~ spl0_7
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2116,f2016,f260,f2121,f582]) ).

fof(f2116,plain,
    ( ! [X1] :
        ( ~ ssList(sk3)
        | ~ ssList(X1)
        | nil = sk3
        | tl(X1) != tl(sk3)
        | nil = X1
        | sk3 = X1
        | hd(X1) != sk5 )
    | ~ spl0_194 ),
    inference(superposition,[],[f177,f2018]) ).

fof(f2114,plain,
    ( spl0_205
    | ~ spl0_7
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2108,f440,f308,f260,f2111]) ).

fof(f2108,plain,
    ( ~ ssList(sk3)
    | sk3 = app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3)))
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(resolution,[],[f441,f333]) ).

fof(f2107,plain,
    ( spl0_204
    | ~ spl0_182
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f2101,f2086,f1893,f2104]) ).

fof(f2104,plain,
    ( spl0_204
  <=> sk3 = app(cons(sk5,nil),tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f1893,plain,
    ( spl0_182
  <=> cons(sk5,tl(sk3)) = app(cons(sk5,nil),tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2101,plain,
    ( sk3 = app(cons(sk5,nil),tl(sk3))
    | ~ spl0_182
    | ~ spl0_201 ),
    inference(backward_demodulation,[],[f1895,f2088]) ).

fof(f1895,plain,
    ( cons(sk5,tl(sk3)) = app(cons(sk5,nil),tl(sk3))
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1893]) ).

fof(f2100,plain,
    ( ~ spl0_203
    | spl0_170
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2042,f2016,f1648,f2097]) ).

fof(f1648,plain,
    ( spl0_170
  <=> hd(sk3) = hd(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2042,plain,
    ( sk5 != hd(nil)
    | spl0_170
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1650,f2018]) ).

fof(f1650,plain,
    ( hd(sk3) != hd(nil)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1648]) ).

fof(f2094,plain,
    ( spl0_202
    | ~ spl0_150
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2041,f2016,f1386,f2091]) ).

fof(f1386,plain,
    ( spl0_150
  <=> hd(sk3) = hd(app(sk3,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2041,plain,
    ( sk5 = hd(app(sk3,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_150
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1388,f2018]) ).

fof(f1388,plain,
    ( hd(sk3) = hd(app(sk3,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1386]) ).

fof(f2089,plain,
    ( spl0_201
    | ~ spl0_52
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2020,f2016,f578,f2086]) ).

fof(f2020,plain,
    ( sk3 = cons(sk5,tl(sk3))
    | ~ spl0_52
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f580,f2018]) ).

fof(f2082,plain,
    ( spl0_200
    | ~ spl0_147
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2040,f2016,f1326,f2079]) ).

fof(f1326,plain,
    ( spl0_147
  <=> hd(app(sk3,sk3)) = hd(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2040,plain,
    ( sk5 = hd(app(sk3,sk3))
    | ~ spl0_147
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1328,f2018]) ).

fof(f1328,plain,
    ( hd(app(sk3,sk3)) = hd(sk3)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1326]) ).

fof(f2077,plain,
    ( spl0_199
    | ~ spl0_183
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2050,f2016,f1898,f2074]) ).

fof(f1898,plain,
    ( spl0_183
  <=> hd(sk3) = hd(app(sk3,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f2050,plain,
    ( sk5 = hd(app(sk3,tl(sk3)))
    | ~ spl0_183
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1900,f2018]) ).

fof(f1900,plain,
    ( hd(sk3) = hd(app(sk3,tl(sk3)))
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1898]) ).

fof(f2072,plain,
    ( spl0_198
    | ~ spl0_146
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2039,f2016,f1321,f2069]) ).

fof(f1321,plain,
    ( spl0_146
  <=> hd(sk3) = hd(app(sk3,cons(skaf65(sk3),skaf68(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2039,plain,
    ( sk5 = hd(app(sk3,cons(skaf65(sk3),skaf68(sk3))))
    | ~ spl0_146
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1323,f2018]) ).

fof(f1323,plain,
    ( hd(sk3) = hd(app(sk3,cons(skaf65(sk3),skaf68(sk3))))
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1321]) ).

fof(f2067,plain,
    ( ~ spl0_197
    | spl0_192
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2052,f2016,f1962,f2064]) ).

fof(f1962,plain,
    ( spl0_192
  <=> lt(hd(sk3),hd(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f2052,plain,
    ( ~ lt(sk5,hd(nil))
    | spl0_192
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1964,f2018]) ).

fof(f1964,plain,
    ( ~ lt(hd(sk3),hd(nil))
    | spl0_192 ),
    inference(avatar_component_clause,[],[f1962]) ).

fof(f2062,plain,
    ( ~ spl0_196
    | spl0_132
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2026,f2016,f1222,f2059]) ).

fof(f1222,plain,
    ( spl0_132
  <=> lt(hd(sk3),hd(tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2026,plain,
    ( ~ lt(sk5,hd(tl(sk3)))
    | spl0_132
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1223,f2018]) ).

fof(f1223,plain,
    ( ~ lt(hd(sk3),hd(tl(sk3)))
    | spl0_132 ),
    inference(avatar_component_clause,[],[f1222]) ).

fof(f2057,plain,
    ( ~ spl0_195
    | spl0_191
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2051,f2016,f1956,f2054]) ).

fof(f2054,plain,
    ( spl0_195
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f1956,plain,
    ( spl0_191
  <=> sk3 = cons(hd(sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f2051,plain,
    ( sk3 != cons(sk5,nil)
    | spl0_191
    | ~ spl0_194 ),
    inference(backward_demodulation,[],[f1957,f2018]) ).

fof(f1957,plain,
    ( sk3 != cons(hd(sk3),nil)
    | spl0_191 ),
    inference(avatar_component_clause,[],[f1956]) ).

fof(f2019,plain,
    ( spl0_194
    | ~ spl0_123
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2014,f1201,f1183,f2016]) ).

fof(f1183,plain,
    ( spl0_123
  <=> ssItem(hd(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1201,plain,
    ( spl0_127
  <=> memberP(sk3,hd(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2014,plain,
    ( ~ ssItem(hd(sk3))
    | sk5 = hd(sk3)
    | ~ spl0_127 ),
    inference(resolution,[],[f1203,f193]) ).

fof(f1203,plain,
    ( memberP(sk3,hd(sk3))
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f1201]) ).

fof(f2013,plain,
    ( spl0_193
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2003,f249,f2009]) ).

fof(f2009,plain,
    ( spl0_193
  <=> ! [X13,X12,X14] :
        ( skaf43(X12,X13) != app(skaf43(X12,X13),X14)
        | ~ ssList(skaf43(X12,X13))
        | nil = X14
        | ~ ssList(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f2003,plain,
    ! [X16,X17,X15] :
      ( ~ ssList(nil)
      | ~ ssList(X17)
      | nil = X17
      | ~ ssList(skaf43(X15,X16))
      | app(skaf43(X15,X16),X17) != skaf43(X15,X16) ),
    inference(superposition,[],[f150,f484]) ).

fof(f484,plain,
    ! [X6,X7] : app(skaf43(X6,X7),nil) = skaf43(X6,X7),
    inference(resolution,[],[f73,f52]) ).

fof(f2011,plain,
    ( ~ spl0_5
    | spl0_193 ),
    inference(avatar_split_clause,[],[f2002,f2009,f249]) ).

fof(f2002,plain,
    ! [X14,X12,X13] :
      ( skaf43(X12,X13) != app(skaf43(X12,X13),X14)
      | ~ ssList(X14)
      | nil = X14
      | ~ ssList(skaf43(X12,X13))
      | ~ ssList(nil) ),
    inference(superposition,[],[f150,f484]) ).

fof(f1965,plain,
    ( ~ spl0_192
    | ~ spl0_131
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1942,f1222,f1218,f1962]) ).

fof(f1942,plain,
    ( ~ lt(hd(sk3),hd(nil))
    | ~ spl0_131
    | spl0_132 ),
    inference(backward_demodulation,[],[f1223,f1220]) ).

fof(f1220,plain,
    ( nil = tl(sk3)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1959,plain,
    ( spl0_191
    | ~ spl0_52
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1937,f1218,f578,f1956]) ).

fof(f1937,plain,
    ( sk3 = cons(hd(sk3),nil)
    | ~ spl0_52
    | ~ spl0_131 ),
    inference(backward_demodulation,[],[f580,f1220]) ).

fof(f1936,plain,
    ( ~ spl0_65
    | ~ spl0_50
    | spl0_51 ),
    inference(avatar_split_clause,[],[f1935,f572,f568,f703]) ).

fof(f703,plain,
    ( spl0_65
  <=> nil = cons(hd(nil),tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f572,plain,
    ( spl0_51
  <=> sk4 = cons(hd(sk4),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1935,plain,
    ( nil != cons(hd(nil),tl(nil))
    | ~ spl0_50
    | spl0_51 ),
    inference(forward_demodulation,[],[f573,f570]) ).

fof(f573,plain,
    ( sk4 != cons(hd(sk4),tl(sk4))
    | spl0_51 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f1934,plain,
    ( spl0_190
    | ~ spl0_17
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1887,f1179,f308,f1931]) ).

fof(f1931,plain,
    ( spl0_190
  <=> sk5 = hd(cons(sk5,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f1887,plain,
    ( sk5 = hd(cons(sk5,tl(sk3)))
    | ~ spl0_17
    | ~ spl0_122 ),
    inference(resolution,[],[f1180,f553]) ).

fof(f1929,plain,
    ( spl0_189
    | spl0_131
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1883,f1179,f1218,f1926]) ).

fof(f1926,plain,
    ( spl0_189
  <=> cons(hd(tl(sk3)),tl(tl(sk3))) = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1883,plain,
    ( nil = tl(sk3)
    | cons(hd(tl(sk3)),tl(tl(sk3))) = tl(sk3)
    | ~ spl0_122 ),
    inference(resolution,[],[f1180,f104]) ).

fof(f1924,plain,
    ( spl0_188
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1881,f1179,f1921]) ).

fof(f1881,plain,
    ( app(tl(sk3),nil) = tl(sk3)
    | ~ spl0_122 ),
    inference(resolution,[],[f1180,f73]) ).

fof(f1919,plain,
    ( spl0_187
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1882,f1179,f1916]) ).

fof(f1882,plain,
    ( tl(sk3) = app(nil,tl(sk3))
    | ~ spl0_122 ),
    inference(resolution,[],[f1180,f74]) ).

fof(f1914,plain,
    ( spl0_131
    | spl0_186
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1884,f1179,f1912,f1218]) ).

fof(f1912,plain,
    ( spl0_186
  <=> ! [X0] :
        ( hd(tl(sk3)) = hd(app(tl(sk3),X0))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f1884,plain,
    ( ! [X0] :
        ( hd(tl(sk3)) = hd(app(tl(sk3),X0))
        | ~ ssList(X0)
        | nil = tl(sk3) )
    | ~ spl0_122 ),
    inference(resolution,[],[f1180,f123]) ).

fof(f1910,plain,
    ( spl0_184
    | spl0_185
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1886,f1179,f1907,f1903]) ).

fof(f1907,plain,
    ( spl0_185
  <=> tl(sk3) = app(app(skaf66(tl(sk3)),cons(skaf64(tl(sk3)),skaf67(tl(sk3)))),cons(skaf65(tl(sk3)),skaf68(tl(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f1886,plain,
    ( tl(sk3) = app(app(skaf66(tl(sk3)),cons(skaf64(tl(sk3)),skaf67(tl(sk3)))),cons(skaf65(tl(sk3)),skaf68(tl(sk3))))
    | totalorderedP(tl(sk3))
    | ~ spl0_122 ),
    inference(resolution,[],[f1180,f164]) ).

fof(f1901,plain,
    ( spl0_183
    | ~ spl0_54
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1889,f1179,f639,f1898]) ).

fof(f1889,plain,
    ( hd(sk3) = hd(app(sk3,tl(sk3)))
    | ~ spl0_54
    | ~ spl0_122 ),
    inference(resolution,[],[f1180,f640]) ).

fof(f1896,plain,
    ( spl0_182
    | ~ spl0_17
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1888,f1179,f308,f1893]) ).

fof(f1888,plain,
    ( cons(sk5,tl(sk3)) = app(cons(sk5,nil),tl(sk3))
    | ~ spl0_17
    | ~ spl0_122 ),
    inference(resolution,[],[f1180,f598]) ).

fof(f1878,plain,
    ( spl0_53
    | ~ spl0_7
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1865,f1179,f260,f582]) ).

fof(f1865,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_122 ),
    inference(resolution,[],[f75,f1181]) ).

fof(f1181,plain,
    ( ~ ssList(tl(sk3))
    | spl0_122 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f1863,plain,
    ( ~ spl0_5
    | spl0_181 ),
    inference(avatar_split_clause,[],[f1853,f1861,f249]) ).

fof(f1861,plain,
    ( spl0_181
  <=> ! [X13,X14] :
        ( ~ ssList(skaf66(X13))
        | ~ ssList(X14)
        | nil = X14
        | skaf66(X13) != app(X14,skaf66(X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1853,plain,
    ! [X14,X13] :
      ( ~ ssList(skaf66(X13))
      | skaf66(X13) != app(X14,skaf66(X13))
      | nil = X14
      | ~ ssList(X14)
      | ~ ssList(nil) ),
    inference(superposition,[],[f151,f511]) ).

fof(f511,plain,
    ! [X5] : app(nil,skaf66(X5)) = skaf66(X5),
    inference(resolution,[],[f74,f29]) ).

fof(f1859,plain,
    ( ~ spl0_5
    | spl0_180 ),
    inference(avatar_split_clause,[],[f1852,f1857,f249]) ).

fof(f1857,plain,
    ( spl0_180
  <=> ! [X12,X11] :
        ( ~ ssList(skaf66(X11))
        | nil = X12
        | app(X12,skaf66(X11)) != skaf66(X11)
        | ~ ssList(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1852,plain,
    ! [X11,X12] :
      ( ~ ssList(skaf66(X11))
      | ~ ssList(X12)
      | app(X12,skaf66(X11)) != skaf66(X11)
      | ~ ssList(nil)
      | nil = X12 ),
    inference(superposition,[],[f151,f511]) ).

fof(f1844,plain,
    ( ~ spl0_5
    | spl0_179 ),
    inference(avatar_split_clause,[],[f1835,f1840,f249]) ).

fof(f1840,plain,
    ( spl0_179
  <=> ! [X13,X14] :
        ( app(X14,skaf67(X13)) != skaf67(X13)
        | ~ ssList(X14)
        | nil = X14
        | ~ ssList(skaf67(X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1835,plain,
    ! [X11,X12] :
      ( ~ ssList(X12)
      | ~ ssList(nil)
      | nil = X12
      | app(X12,skaf67(X11)) != skaf67(X11)
      | ~ ssList(skaf67(X11)) ),
    inference(superposition,[],[f151,f510]) ).

fof(f510,plain,
    ! [X4] : skaf67(X4) = app(nil,skaf67(X4)),
    inference(resolution,[],[f74,f28]) ).

fof(f1842,plain,
    ( ~ spl0_5
    | spl0_179 ),
    inference(avatar_split_clause,[],[f1836,f1840,f249]) ).

fof(f1836,plain,
    ! [X14,X13] :
      ( app(X14,skaf67(X13)) != skaf67(X13)
      | ~ ssList(skaf67(X13))
      | ~ ssList(nil)
      | nil = X14
      | ~ ssList(X14) ),
    inference(superposition,[],[f151,f510]) ).

fof(f1827,plain,
    ( ~ spl0_5
    | spl0_178 ),
    inference(avatar_split_clause,[],[f1818,f1822,f249]) ).

fof(f1822,plain,
    ( spl0_178
  <=> ! [X13,X14] :
        ( ~ ssList(X14)
        | ~ ssList(skaf68(X13))
        | nil = X14
        | app(X14,skaf68(X13)) != skaf68(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1818,plain,
    ! [X11,X12] :
      ( app(X12,skaf68(X11)) != skaf68(X11)
      | ~ ssList(nil)
      | ~ ssList(skaf68(X11))
      | nil = X12
      | ~ ssList(X12) ),
    inference(superposition,[],[f151,f509]) ).

fof(f509,plain,
    ! [X3] : skaf68(X3) = app(nil,skaf68(X3)),
    inference(resolution,[],[f74,f27]) ).

fof(f1824,plain,
    ( ~ spl0_5
    | spl0_178 ),
    inference(avatar_split_clause,[],[f1819,f1822,f249]) ).

fof(f1819,plain,
    ! [X14,X13] :
      ( ~ ssList(X14)
      | ~ ssList(nil)
      | app(X14,skaf68(X13)) != skaf68(X13)
      | nil = X14
      | ~ ssList(skaf68(X13)) ),
    inference(superposition,[],[f151,f509]) ).

fof(f1810,plain,
    ( spl0_177
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1800,f249,f1805]) ).

fof(f1805,plain,
    ( spl0_177
  <=> ! [X8,X7] :
        ( ~ ssList(X8)
        | ~ ssList(skaf66(X7))
        | skaf66(X7) != app(skaf66(X7),X8)
        | nil = X8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1800,plain,
    ! [X10,X9] :
      ( ~ ssList(nil)
      | ~ ssList(skaf66(X9))
      | skaf66(X9) != app(skaf66(X9),X10)
      | nil = X10
      | ~ ssList(X10) ),
    inference(superposition,[],[f150,f483]) ).

fof(f483,plain,
    ! [X5] : skaf66(X5) = app(skaf66(X5),nil),
    inference(resolution,[],[f73,f29]) ).

fof(f1807,plain,
    ( spl0_177
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1799,f249,f1805]) ).

fof(f1799,plain,
    ! [X8,X7] :
      ( ~ ssList(nil)
      | ~ ssList(X8)
      | nil = X8
      | skaf66(X7) != app(skaf66(X7),X8)
      | ~ ssList(skaf66(X7)) ),
    inference(superposition,[],[f150,f483]) ).

fof(f1792,plain,
    ( ~ spl0_5
    | spl0_176 ),
    inference(avatar_split_clause,[],[f1783,f1789,f249]) ).

fof(f1789,plain,
    ( spl0_176
  <=> ! [X7,X8] :
        ( ~ ssList(skaf67(X7))
        | ~ ssList(X8)
        | app(skaf67(X7),X8) != skaf67(X7)
        | nil = X8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1783,plain,
    ! [X10,X9] :
      ( ~ ssList(X10)
      | app(skaf67(X9),X10) != skaf67(X9)
      | ~ ssList(nil)
      | nil = X10
      | ~ ssList(skaf67(X9)) ),
    inference(superposition,[],[f150,f482]) ).

fof(f482,plain,
    ! [X4] : skaf67(X4) = app(skaf67(X4),nil),
    inference(resolution,[],[f73,f28]) ).

fof(f1791,plain,
    ( ~ spl0_5
    | spl0_176 ),
    inference(avatar_split_clause,[],[f1782,f1789,f249]) ).

fof(f1782,plain,
    ! [X8,X7] :
      ( ~ ssList(skaf67(X7))
      | nil = X8
      | ~ ssList(nil)
      | app(skaf67(X7),X8) != skaf67(X7)
      | ~ ssList(X8) ),
    inference(superposition,[],[f150,f482]) ).

fof(f1769,plain,
    ( ~ spl0_5
    | spl0_175 ),
    inference(avatar_split_clause,[],[f1761,f1766,f249]) ).

fof(f1766,plain,
    ( spl0_175
  <=> ! [X8,X7] :
        ( ~ ssList(X8)
        | ~ ssList(skaf68(X7))
        | skaf68(X7) != app(skaf68(X7),X8)
        | nil = X8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1761,plain,
    ! [X10,X9] :
      ( nil = X10
      | ~ ssList(nil)
      | ~ ssList(skaf68(X9))
      | ~ ssList(X10)
      | skaf68(X9) != app(skaf68(X9),X10) ),
    inference(superposition,[],[f150,f481]) ).

fof(f481,plain,
    ! [X3] : skaf68(X3) = app(skaf68(X3),nil),
    inference(resolution,[],[f73,f27]) ).

fof(f1768,plain,
    ( ~ spl0_5
    | spl0_175 ),
    inference(avatar_split_clause,[],[f1760,f1766,f249]) ).

fof(f1760,plain,
    ! [X8,X7] :
      ( ~ ssList(X8)
      | ~ ssList(nil)
      | nil = X8
      | skaf68(X7) != app(skaf68(X7),X8)
      | ~ ssList(skaf68(X7)) ),
    inference(superposition,[],[f150,f481]) ).

fof(f1703,plain,
    ( spl0_174
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1681,f713,f308,f1700]) ).

fof(f1681,plain,
    ( cons(sk5,cons(skaf65(nil),skaf68(nil))) = app(cons(sk5,nil),cons(skaf65(nil),skaf68(nil)))
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(resolution,[],[f598,f714]) ).

fof(f1698,plain,
    ( spl0_173
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1670,f308,f249,f1695]) ).

fof(f1670,plain,
    ( app(cons(sk5,nil),nil) = cons(sk5,nil)
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f598,f251]) ).

fof(f1693,plain,
    ( spl0_172
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1680,f432,f308,f1690]) ).

fof(f1680,plain,
    ( app(cons(sk5,nil),cons(skaf65(sk3),skaf68(sk3))) = cons(sk5,cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(resolution,[],[f598,f433]) ).

fof(f1688,plain,
    ( spl0_171
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1683,f308,f260,f1685]) ).

fof(f1683,plain,
    ( cons(sk5,sk3) = app(cons(sk5,nil),sk3)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(resolution,[],[f598,f262]) ).

fof(f1667,plain,
    spl0_143,
    inference(avatar_contradiction_clause,[],[f1666]) ).

fof(f1666,plain,
    ( $false
    | spl0_143 ),
    inference(resolution,[],[f1293,f29]) ).

fof(f1293,plain,
    ( ~ ssList(skaf66(sk3))
    | spl0_143 ),
    inference(avatar_component_clause,[],[f1291]) ).

fof(f1657,plain,
    ( spl0_53
    | ~ spl0_7
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1656,f1183,f260,f582]) ).

fof(f1656,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_123 ),
    inference(resolution,[],[f1185,f76]) ).

fof(f1185,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_123 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f1654,plain,
    ( ~ spl0_168
    | ~ spl0_50
    | ~ spl0_98
    | spl0_165 ),
    inference(avatar_split_clause,[],[f1653,f1576,f1007,f568,f1631]) ).

fof(f1576,plain,
    ( spl0_165
  <=> hd(app(sk4,cons(skaf65(sk4),skaf68(sk4)))) = hd(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1653,plain,
    ( hd(cons(skaf65(nil),skaf68(nil))) != hd(nil)
    | ~ spl0_50
    | ~ spl0_98
    | spl0_165 ),
    inference(forward_demodulation,[],[f1652,f1009]) ).

fof(f1652,plain,
    ( hd(app(nil,cons(skaf65(nil),skaf68(nil)))) != hd(nil)
    | ~ spl0_50
    | spl0_165 ),
    inference(forward_demodulation,[],[f1577,f570]) ).

fof(f1577,plain,
    ( hd(app(sk4,cons(skaf65(sk4),skaf68(sk4)))) != hd(sk4)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1576]) ).

fof(f1651,plain,
    ( ~ spl0_170
    | ~ spl0_48
    | ~ spl0_50
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1646,f1586,f568,f517,f1648]) ).

fof(f517,plain,
    ( spl0_48
  <=> sk3 = app(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1586,plain,
    ( spl0_167
  <=> hd(sk4) = hd(app(sk4,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1646,plain,
    ( hd(sk3) != hd(nil)
    | ~ spl0_48
    | ~ spl0_50
    | spl0_167 ),
    inference(forward_demodulation,[],[f1645,f519]) ).

fof(f519,plain,
    ( sk3 = app(nil,sk3)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f1645,plain,
    ( hd(app(nil,sk3)) != hd(nil)
    | ~ spl0_50
    | spl0_167 ),
    inference(forward_demodulation,[],[f1587,f570]) ).

fof(f1587,plain,
    ( hd(sk4) != hd(app(sk4,sk3))
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1586]) ).

fof(f1642,plain,
    ( ~ spl0_169
    | ~ spl0_50
    | ~ spl0_88
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1637,f1566,f932,f568,f1639]) ).

fof(f1637,plain,
    ( hd(cons(skaf65(sk3),skaf68(sk3))) != hd(nil)
    | ~ spl0_50
    | ~ spl0_88
    | spl0_163 ),
    inference(forward_demodulation,[],[f1636,f934]) ).

fof(f1636,plain,
    ( hd(app(nil,cons(skaf65(sk3),skaf68(sk3)))) != hd(nil)
    | ~ spl0_50
    | spl0_163 ),
    inference(forward_demodulation,[],[f1567,f570]) ).

fof(f1567,plain,
    ( hd(app(sk4,cons(skaf65(sk3),skaf68(sk3)))) != hd(sk4)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1566]) ).

fof(f1634,plain,
    ( ~ spl0_168
    | ~ spl0_50
    | ~ spl0_98
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1629,f1581,f1007,f568,f1631]) ).

fof(f1581,plain,
    ( spl0_166
  <=> hd(sk4) = hd(app(sk4,cons(skaf65(nil),skaf68(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1629,plain,
    ( hd(cons(skaf65(nil),skaf68(nil))) != hd(nil)
    | ~ spl0_50
    | ~ spl0_98
    | spl0_166 ),
    inference(forward_demodulation,[],[f1628,f1009]) ).

fof(f1628,plain,
    ( hd(app(nil,cons(skaf65(nil),skaf68(nil)))) != hd(nil)
    | ~ spl0_50
    | spl0_166 ),
    inference(backward_demodulation,[],[f1582,f570]) ).

fof(f1582,plain,
    ( hd(sk4) != hd(app(sk4,cons(skaf65(nil),skaf68(nil))))
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1581]) ).

fof(f1589,plain,
    ( spl0_167
    | ~ spl0_7
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1563,f644,f260,f1586]) ).

fof(f644,plain,
    ( spl0_55
  <=> ! [X26] :
        ( hd(sk4) = hd(app(sk4,X26))
        | ~ ssList(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1563,plain,
    ( hd(sk4) = hd(app(sk4,sk3))
    | ~ spl0_7
    | ~ spl0_55 ),
    inference(resolution,[],[f645,f262]) ).

fof(f645,plain,
    ( ! [X26] :
        ( ~ ssList(X26)
        | hd(sk4) = hd(app(sk4,X26)) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1584,plain,
    ( spl0_166
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1561,f713,f644,f1581]) ).

fof(f1561,plain,
    ( hd(sk4) = hd(app(sk4,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(resolution,[],[f645,f714]) ).

fof(f1579,plain,
    ( spl0_165
    | ~ spl0_26
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1560,f644,f392,f1576]) ).

fof(f392,plain,
    ( spl0_26
  <=> ssList(cons(skaf65(sk4),skaf68(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1560,plain,
    ( hd(app(sk4,cons(skaf65(sk4),skaf68(sk4)))) = hd(sk4)
    | ~ spl0_26
    | ~ spl0_55 ),
    inference(resolution,[],[f645,f393]) ).

fof(f393,plain,
    ( ssList(cons(skaf65(sk4),skaf68(sk4)))
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1574,plain,
    ( spl0_164
    | ~ spl0_4
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1564,f644,f244,f1571]) ).

fof(f1571,plain,
    ( spl0_164
  <=> hd(sk4) = hd(app(sk4,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f244,plain,
    ( spl0_4
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1564,plain,
    ( hd(sk4) = hd(app(sk4,sk4))
    | ~ spl0_4
    | ~ spl0_55 ),
    inference(resolution,[],[f645,f246]) ).

fof(f246,plain,
    ( ssList(sk4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f1569,plain,
    ( spl0_163
    | ~ spl0_34
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1559,f644,f432,f1566]) ).

fof(f1559,plain,
    ( hd(app(sk4,cons(skaf65(sk3),skaf68(sk3)))) = hd(sk4)
    | ~ spl0_34
    | ~ spl0_55 ),
    inference(resolution,[],[f645,f433]) ).

fof(f1507,plain,
    ( spl0_150
    | ~ spl0_54
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1505,f713,f639,f1386]) ).

fof(f1505,plain,
    ( hd(sk3) = hd(app(sk3,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_54
    | ~ spl0_67 ),
    inference(resolution,[],[f714,f640]) ).

fof(f1506,plain,
    ( spl0_157
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1504,f713,f308,f1425]) ).

fof(f1504,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(resolution,[],[f714,f553]) ).

fof(f1465,plain,
    ( spl0_162
    | ~ spl0_17
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1447,f308,f308,f1463]) ).

fof(f1463,plain,
    ( spl0_162
  <=> ! [X2,X1] :
        ( cons(X1,X2) = app(skaf42(cons(X1,X2),sk5),cons(sk5,skaf43(sk5,cons(X1,X2))))
        | ~ ssList(X2)
        | ~ memberP(X2,sk5)
        | ~ ssItem(X1)
        | ~ ssList(cons(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1447,plain,
    ( ! [X2,X1] :
        ( ~ ssItem(sk5)
        | cons(X1,X2) = app(skaf42(cons(X1,X2),sk5),cons(sk5,skaf43(sk5,cons(X1,X2))))
        | ~ ssList(cons(X1,X2))
        | ~ ssItem(X1)
        | ~ memberP(X2,sk5)
        | ~ ssList(X2) )
    | ~ spl0_17 ),
    inference(resolution,[],[f333,f139]) ).

fof(f1461,plain,
    ( ~ spl0_17
    | spl0_161
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1448,f308,f1459,f308]) ).

fof(f1448,plain,
    ( ! [X3,X4] :
        ( ~ ssList(X3)
        | ~ ssItem(sk5)
        | ~ ssList(app(X3,X4))
        | app(X3,X4) = app(skaf42(app(X3,X4),sk5),cons(sk5,skaf43(sk5,app(X3,X4))))
        | ~ memberP(X4,sk5)
        | ~ ssList(X4) )
    | ~ spl0_17 ),
    inference(resolution,[],[f333,f141]) ).

fof(f1457,plain,
    ( ~ spl0_17
    | spl0_160
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1446,f308,f1455,f308]) ).

fof(f1446,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sk5,X0))
        | ~ ssList(X0)
        | ~ ssItem(sk5)
        | cons(sk5,X0) = app(skaf42(cons(sk5,X0),sk5),cons(sk5,skaf43(sk5,cons(sk5,X0)))) )
    | ~ spl0_17 ),
    inference(resolution,[],[f333,f225]) ).

fof(f1453,plain,
    ( spl0_159
    | ~ spl0_17
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1449,f308,f308,f1451]) ).

fof(f1449,plain,
    ( ! [X6,X5] :
        ( ~ ssItem(sk5)
        | ~ ssList(X5)
        | ~ memberP(X5,sk5)
        | ~ ssList(app(X5,X6))
        | ~ ssList(X6)
        | app(X5,X6) = app(skaf42(app(X5,X6),sk5),cons(sk5,skaf43(sk5,app(X5,X6)))) )
    | ~ spl0_17 ),
    inference(resolution,[],[f333,f140]) ).

fof(f1437,plain,
    ( ~ spl0_66
    | spl0_20
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f738,f568,f340,f708]) ).

fof(f340,plain,
    ( spl0_20
  <=> sk4 = app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f738,plain,
    ( nil != app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),cons(skaf65(nil),skaf68(nil)))
    | spl0_20
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f341,f570]) ).

fof(f341,plain,
    ( sk4 != app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4)))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f1436,plain,
    ( ~ spl0_149
    | ~ spl0_50
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1361,f1092,f568,f1381]) ).

fof(f1381,plain,
    ( spl0_149
  <=> nil = tl(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1092,plain,
    ( spl0_106
  <=> nil = tl(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1361,plain,
    ( nil != tl(nil)
    | ~ spl0_50
    | spl0_106 ),
    inference(backward_demodulation,[],[f1093,f570]) ).

fof(f1093,plain,
    ( nil != tl(sk4)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f1092]) ).

fof(f1435,plain,
    ( ~ spl0_158
    | ~ spl0_50
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1364,f1104,f568,f1432]) ).

fof(f1432,plain,
    ( spl0_158
  <=> ssItem(hd(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1104,plain,
    ( spl0_109
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1364,plain,
    ( ~ ssItem(hd(nil))
    | ~ spl0_50
    | spl0_109 ),
    inference(backward_demodulation,[],[f1106,f570]) ).

fof(f1106,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_109 ),
    inference(avatar_component_clause,[],[f1104]) ).

fof(f1429,plain,
    ( spl0_93
    | ~ spl0_50
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1354,f871,f568,f985]) ).

fof(f985,plain,
    ( spl0_93
  <=> app(cons(skaf65(nil),skaf68(nil)),nil) = cons(skaf65(nil),skaf68(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f871,plain,
    ( spl0_77
  <=> cons(skaf65(sk4),skaf68(sk4)) = app(cons(skaf65(sk4),skaf68(sk4)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1354,plain,
    ( app(cons(skaf65(nil),skaf68(nil)),nil) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_50
    | ~ spl0_77 ),
    inference(backward_demodulation,[],[f873,f570]) ).

fof(f873,plain,
    ( cons(skaf65(sk4),skaf68(sk4)) = app(cons(skaf65(sk4),skaf68(sk4)),nil)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f1428,plain,
    ( spl0_157
    | ~ spl0_50
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1371,f1275,f568,f1425]) ).

fof(f1275,plain,
    ( spl0_140
  <=> sk5 = hd(cons(sk5,cons(skaf65(sk4),skaf68(sk4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1371,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_50
    | ~ spl0_140 ),
    inference(backward_demodulation,[],[f1277,f570]) ).

fof(f1277,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(sk4),skaf68(sk4))))
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f1275]) ).

fof(f1423,plain,
    ( ~ spl0_156
    | ~ spl0_50
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1369,f1158,f568,f1420]) ).

fof(f1158,plain,
    ( spl0_121
  <=> memberP(sk4,hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1369,plain,
    ( ~ memberP(nil,hd(nil))
    | ~ spl0_50
    | spl0_121 ),
    inference(backward_demodulation,[],[f1159,f570]) ).

fof(f1159,plain,
    ( ~ memberP(sk4,hd(sk4))
    | spl0_121 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f1418,plain,
    ( ~ spl0_155
    | ~ spl0_50
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1360,f1065,f568,f1415]) ).

fof(f1415,plain,
    ( spl0_155
  <=> memberP(skaf68(nil),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1065,plain,
    ( spl0_104
  <=> memberP(skaf68(sk4),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1360,plain,
    ( ~ memberP(skaf68(nil),sk5)
    | ~ spl0_50
    | spl0_104 ),
    inference(backward_demodulation,[],[f1067,f570]) ).

fof(f1067,plain,
    ( ~ memberP(skaf68(sk4),sk5)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1413,plain,
    ( ~ spl0_95
    | ~ spl0_50
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1358,f889,f568,f994]) ).

fof(f889,plain,
    ( spl0_81
  <=> totalorderedP(cons(skaf65(sk4),skaf68(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1358,plain,
    ( ~ totalorderedP(cons(skaf65(nil),skaf68(nil)))
    | ~ spl0_50
    | spl0_81 ),
    inference(backward_demodulation,[],[f890,f570]) ).

fof(f890,plain,
    ( ~ totalorderedP(cons(skaf65(sk4),skaf68(sk4)))
    | spl0_81 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f1412,plain,
    ( ~ spl0_61
    | spl0_24
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1340,f568,f384,f683]) ).

fof(f384,plain,
    ( spl0_24
  <=> memberP(cons(skaf65(sk4),skaf68(sk4)),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1340,plain,
    ( ~ memberP(cons(skaf65(nil),skaf68(nil)),sk5)
    | spl0_24
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f385,f570]) ).

fof(f385,plain,
    ( ~ memberP(cons(skaf65(sk4),skaf68(sk4)),sk5)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f1411,plain,
    ( ~ spl0_154
    | ~ spl0_50
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1363,f1100,f568,f1408]) ).

fof(f1408,plain,
    ( spl0_154
  <=> ssList(tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1100,plain,
    ( spl0_108
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1363,plain,
    ( ~ ssList(tl(nil))
    | ~ spl0_50
    | spl0_108 ),
    inference(backward_demodulation,[],[f1102,f570]) ).

fof(f1102,plain,
    ( ~ ssList(tl(sk4))
    | spl0_108 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f1406,plain,
    ( spl0_67
    | ~ spl0_26
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1342,f568,f392,f713]) ).

fof(f1342,plain,
    ( ssList(cons(skaf65(nil),skaf68(nil)))
    | ~ spl0_26
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f393,f570]) ).

fof(f1405,plain,
    ( ~ spl0_66
    | spl0_20
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1337,f568,f340,f708]) ).

fof(f1337,plain,
    ( nil != app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),cons(skaf65(nil),skaf68(nil)))
    | spl0_20
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f341,f570]) ).

fof(f1404,plain,
    ( ~ spl0_153
    | ~ spl0_50
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1362,f1096,f568,f1401]) ).

fof(f1401,plain,
    ( spl0_153
  <=> totalorderedP(tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1096,plain,
    ( spl0_107
  <=> totalorderedP(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1362,plain,
    ( ~ totalorderedP(tl(nil))
    | ~ spl0_50
    | spl0_107 ),
    inference(backward_demodulation,[],[f1097,f570]) ).

fof(f1097,plain,
    ( ~ totalorderedP(tl(sk4))
    | spl0_107 ),
    inference(avatar_component_clause,[],[f1096]) ).

fof(f1399,plain,
    ( ~ spl0_152
    | ~ spl0_50
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1368,f1153,f568,f1396]) ).

fof(f1153,plain,
    ( spl0_120
  <=> lt(hd(sk4),hd(tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1368,plain,
    ( ~ lt(hd(nil),hd(tl(nil)))
    | ~ spl0_50
    | spl0_120 ),
    inference(backward_demodulation,[],[f1154,f570]) ).

fof(f1154,plain,
    ( ~ lt(hd(sk4),hd(tl(sk4)))
    | spl0_120 ),
    inference(avatar_component_clause,[],[f1153]) ).

fof(f1394,plain,
    ( ~ spl0_151
    | ~ spl0_50
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1365,f1109,f568,f1391]) ).

fof(f1109,plain,
    ( spl0_110
  <=> leq(hd(sk4),hd(tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1365,plain,
    ( ~ leq(hd(nil),hd(tl(nil)))
    | ~ spl0_50
    | spl0_110 ),
    inference(backward_demodulation,[],[f1110,f570]) ).

fof(f1110,plain,
    ( ~ leq(hd(sk4),hd(tl(sk4)))
    | spl0_110 ),
    inference(avatar_component_clause,[],[f1109]) ).

fof(f1389,plain,
    ( spl0_150
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1374,f1316,f568,f1386]) ).

fof(f1316,plain,
    ( spl0_145
  <=> hd(sk3) = hd(app(sk3,cons(skaf65(sk4),skaf68(sk4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1374,plain,
    ( hd(sk3) = hd(app(sk3,cons(skaf65(nil),skaf68(nil))))
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(backward_demodulation,[],[f1318,f570]) ).

fof(f1318,plain,
    ( hd(sk3) = hd(app(sk3,cons(skaf65(sk4),skaf68(sk4))))
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1316]) ).

fof(f1384,plain,
    ( ~ spl0_149
    | ~ spl0_50
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1366,f1126,f568,f1381]) ).

fof(f1126,plain,
    ( spl0_114
  <=> sk4 = tl(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1366,plain,
    ( nil != tl(nil)
    | ~ spl0_50
    | spl0_114 ),
    inference(backward_demodulation,[],[f1128,f570]) ).

fof(f1128,plain,
    ( sk4 != tl(sk4)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f1379,plain,
    ( ~ spl0_148
    | ~ spl0_50
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1372,f1281,f568,f1376]) ).

fof(f1372,plain,
    ( ~ ssList(cons(skaf64(nil),skaf67(nil)))
    | ~ spl0_50
    | spl0_141 ),
    inference(backward_demodulation,[],[f1283,f570]) ).

fof(f1283,plain,
    ( ~ ssList(cons(skaf64(sk4),skaf67(sk4)))
    | spl0_141 ),
    inference(avatar_component_clause,[],[f1281]) ).

fof(f1335,plain,
    ( ~ spl0_61
    | spl0_24
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f669,f568,f384,f683]) ).

fof(f669,plain,
    ( ~ memberP(cons(skaf65(nil),skaf68(nil)),sk5)
    | spl0_24
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f385,f570]) ).

fof(f1334,plain,
    ( spl0_55
    | spl0_50
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f747,f244,f568,f644]) ).

fof(f747,plain,
    ( ! [X0] :
        ( nil = sk4
        | ~ ssList(X0)
        | hd(app(sk4,X0)) = hd(sk4) )
    | ~ spl0_4 ),
    inference(resolution,[],[f246,f123]) ).

fof(f1333,plain,
    ( spl0_50
    | ~ spl0_4
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1330,f1104,f244,f568]) ).

fof(f1330,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_109 ),
    inference(resolution,[],[f1106,f76]) ).

fof(f1332,plain,
    ( ~ spl0_13
    | spl0_109 ),
    inference(avatar_contradiction_clause,[],[f1331]) ).

fof(f1331,plain,
    ( $false
    | ~ spl0_13
    | spl0_109 ),
    inference(resolution,[],[f1106,f292]) ).

fof(f292,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl0_13
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1329,plain,
    ( spl0_147
    | ~ spl0_7
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1308,f639,f260,f1326]) ).

fof(f1308,plain,
    ( hd(app(sk3,sk3)) = hd(sk3)
    | ~ spl0_7
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f262]) ).

fof(f1324,plain,
    ( spl0_146
    | ~ spl0_34
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1306,f639,f432,f1321]) ).

fof(f1306,plain,
    ( hd(sk3) = hd(app(sk3,cons(skaf65(sk3),skaf68(sk3))))
    | ~ spl0_34
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f433]) ).

fof(f1319,plain,
    ( spl0_145
    | ~ spl0_26
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1305,f639,f392,f1316]) ).

fof(f1305,plain,
    ( hd(sk3) = hd(app(sk3,cons(skaf65(sk4),skaf68(sk4))))
    | ~ spl0_26
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f393]) ).

fof(f1314,plain,
    ( spl0_144
    | ~ spl0_4
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1309,f639,f244,f1311]) ).

fof(f1311,plain,
    ( spl0_144
  <=> hd(app(sk3,sk4)) = hd(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1309,plain,
    ( hd(app(sk3,sk4)) = hd(sk3)
    | ~ spl0_4
    | ~ spl0_54 ),
    inference(resolution,[],[f640,f246]) ).

fof(f1294,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | spl0_38 ),
    inference(avatar_split_clause,[],[f1285,f448,f1291,f1287]) ).

fof(f1285,plain,
    ( ~ ssList(skaf66(sk3))
    | ~ ssList(cons(skaf64(sk3),skaf67(sk3)))
    | spl0_38 ),
    inference(resolution,[],[f450,f85]) ).

fof(f450,plain,
    ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | spl0_38 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f1284,plain,
    ( ~ spl0_141
    | ~ spl0_58
    | spl0_25 ),
    inference(avatar_split_clause,[],[f1279,f388,f658,f1281]) ).

fof(f658,plain,
    ( spl0_58
  <=> ssList(skaf66(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f388,plain,
    ( spl0_25
  <=> ssList(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1279,plain,
    ( ~ ssList(skaf66(sk4))
    | ~ ssList(cons(skaf64(sk4),skaf67(sk4)))
    | spl0_25 ),
    inference(resolution,[],[f390,f85]) ).

fof(f390,plain,
    ( ~ ssList(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))))
    | spl0_25 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1278,plain,
    ( spl0_140
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1249,f392,f308,f1275]) ).

fof(f1249,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(sk4),skaf68(sk4))))
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(resolution,[],[f553,f393]) ).

fof(f1273,plain,
    ( spl0_139
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1250,f432,f308,f1270]) ).

fof(f1250,plain,
    ( sk5 = hd(cons(sk5,cons(skaf65(sk3),skaf68(sk3))))
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(resolution,[],[f553,f433]) ).

fof(f1268,plain,
    ( spl0_138
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1239,f308,f249,f1265]) ).

fof(f1239,plain,
    ( sk5 = hd(cons(sk5,nil))
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f251]) ).

fof(f1263,plain,
    ( spl0_137
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1252,f308,f260,f1260]) ).

fof(f1252,plain,
    ( sk5 = hd(cons(sk5,sk3))
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f262]) ).

fof(f1258,plain,
    ( spl0_136
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1253,f308,f244,f1255]) ).

fof(f1255,plain,
    ( spl0_136
  <=> sk5 = hd(cons(sk5,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1253,plain,
    ( sk5 = hd(cons(sk5,sk4))
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(resolution,[],[f553,f246]) ).

fof(f1238,plain,
    ( ~ spl0_122
    | ~ spl0_123
    | spl0_135
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1169,f578,f1236,f1183,f1179]) ).

fof(f1236,plain,
    ( spl0_135
  <=> ! [X1] :
        ( ~ memberP(sk3,X1)
        | ~ ssItem(X1)
        | memberP(tl(sk3),X1)
        | hd(sk3) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1169,plain,
    ( ! [X1] :
        ( ~ memberP(sk3,X1)
        | hd(sk3) = X1
        | memberP(tl(sk3),X1)
        | ~ ssItem(hd(sk3))
        | ~ ssList(tl(sk3))
        | ~ ssItem(X1) )
    | ~ spl0_52 ),
    inference(superposition,[],[f161,f580]) ).

fof(f1234,plain,
    ( ~ spl0_123
    | ~ spl0_122
    | spl0_134
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1174,f578,f1232,f1179,f1183]) ).

fof(f1174,plain,
    ( ! [X10] :
        ( memberP(app(X10,sk3),hd(sk3))
        | ~ ssList(X10)
        | ~ ssList(app(X10,sk3))
        | ~ ssList(tl(sk3))
        | ~ ssItem(hd(sk3)) )
    | ~ spl0_52 ),
    inference(superposition,[],[f198,f580]) ).

fof(f1230,plain,
    ( ~ spl0_122
    | spl0_125
    | ~ spl0_123
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1173,f578,f1183,f1192,f1179]) ).

fof(f1192,plain,
    ( spl0_125
  <=> ! [X6,X7] :
        ( sk3 != cons(X6,X7)
        | ~ ssItem(X6)
        | tl(sk3) = X7
        | ~ ssList(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1173,plain,
    ( ! [X8,X9] :
        ( ~ ssItem(hd(sk3))
        | sk3 != cons(X8,X9)
        | tl(sk3) = X9
        | ~ ssList(tl(sk3))
        | ~ ssList(X9)
        | ~ ssItem(X8) )
    | ~ spl0_52 ),
    inference(superposition,[],[f171,f580]) ).

fof(f171,axiom,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | X1 = X3
      | ~ ssList(X3)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f1229,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_133
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1166,f578,f1183,f1179,f1226,f1222,f1218]) ).

fof(f1166,plain,
    ( ~ ssItem(hd(sk3))
    | ~ ssList(tl(sk3))
    | ~ strictorderedP(sk3)
    | lt(hd(sk3),hd(tl(sk3)))
    | nil = tl(sk3)
    | ~ spl0_52 ),
    inference(superposition,[],[f134,f580]) ).

fof(f1216,plain,
    ( ~ spl0_122
    | spl0_130
    | ~ spl0_123
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1175,f578,f1183,f1214,f1179]) ).

fof(f1214,plain,
    ( spl0_130
  <=> ! [X13,X12,X11] :
        ( ~ ssList(app(app(X11,sk3),cons(X12,X13)))
        | leq(hd(sk3),X12)
        | ~ totalorderedP(app(app(X11,sk3),cons(X12,X13)))
        | ~ ssList(X13)
        | ~ ssList(X11)
        | ~ ssItem(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1175,plain,
    ( ! [X11,X12,X13] :
        ( ~ ssItem(hd(sk3))
        | ~ ssList(app(app(X11,sk3),cons(X12,X13)))
        | ~ ssItem(X12)
        | ~ ssList(X11)
        | ~ ssList(X13)
        | ~ ssList(tl(sk3))
        | ~ totalorderedP(app(app(X11,sk3),cons(X12,X13)))
        | leq(hd(sk3),X12) )
    | ~ spl0_52 ),
    inference(superposition,[],[f216,f580]) ).

fof(f1212,plain,
    ( ~ spl0_122
    | ~ spl0_123
    | spl0_129
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1168,f578,f1210,f1183,f1179]) ).

fof(f1210,plain,
    ( spl0_129
  <=> ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ memberP(tl(sk3),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1168,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(hd(sk3))
        | ~ ssList(tl(sk3))
        | ~ memberP(tl(sk3),X0)
        | ~ ssItem(X0) )
    | ~ spl0_52 ),
    inference(superposition,[],[f139,f580]) ).

fof(f1208,plain,
    ( ~ spl0_123
    | ~ spl0_122
    | spl0_128
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1176,f578,f1206,f1179,f1183]) ).

fof(f1206,plain,
    ( spl0_128
  <=> ! [X16,X14,X15] :
        ( ~ ssItem(X15)
        | ~ ssList(X14)
        | ~ ssList(X16)
        | leq(X15,hd(sk3))
        | ~ ssList(app(app(X14,cons(X15,X16)),sk3))
        | ~ totalorderedP(app(app(X14,cons(X15,X16)),sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1176,plain,
    ( ! [X16,X14,X15] :
        ( ~ ssItem(X15)
        | ~ totalorderedP(app(app(X14,cons(X15,X16)),sk3))
        | ~ ssList(app(app(X14,cons(X15,X16)),sk3))
        | ~ ssList(tl(sk3))
        | ~ ssItem(hd(sk3))
        | leq(X15,hd(sk3))
        | ~ ssList(X16)
        | ~ ssList(X14) )
    | ~ spl0_52 ),
    inference(superposition,[],[f216,f580]) ).

fof(f1204,plain,
    ( ~ spl0_123
    | ~ spl0_122
    | spl0_127
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1177,f578,f1201,f1179,f1183]) ).

fof(f1177,plain,
    ( memberP(sk3,hd(sk3))
    | ~ ssList(tl(sk3))
    | ~ ssItem(hd(sk3))
    | ~ spl0_52 ),
    inference(superposition,[],[f225,f580]) ).

fof(f1199,plain,
    ( ~ spl0_122
    | ~ spl0_126
    | ~ spl0_123
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1164,f578,f1183,f1196,f1179]) ).

fof(f1196,plain,
    ( spl0_126
  <=> sk3 = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1164,plain,
    ( ~ ssItem(hd(sk3))
    | sk3 != tl(sk3)
    | ~ ssList(tl(sk3))
    | ~ spl0_52 ),
    inference(superposition,[],[f99,f580]) ).

fof(f1194,plain,
    ( ~ spl0_123
    | ~ spl0_122
    | spl0_125
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1172,f578,f1192,f1179,f1183]) ).

fof(f1172,plain,
    ( ! [X6,X7] :
        ( sk3 != cons(X6,X7)
        | ~ ssList(X7)
        | tl(sk3) = X7
        | ~ ssList(tl(sk3))
        | ~ ssItem(X6)
        | ~ ssItem(hd(sk3)) )
    | ~ spl0_52 ),
    inference(superposition,[],[f171,f580]) ).

fof(f1190,plain,
    ( spl0_124
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1171,f578,f1183,f1179,f1187]) ).

fof(f1187,plain,
    ( spl0_124
  <=> ! [X2,X3] :
        ( ~ ssItem(X2)
        | ~ ssList(X3)
        | cons(X2,X3) != sk3
        | hd(sk3) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1171,plain,
    ( ! [X4,X5] :
        ( ~ ssItem(hd(sk3))
        | ~ ssList(tl(sk3))
        | hd(sk3) = X4
        | sk3 != cons(X4,X5)
        | ~ ssItem(X4)
        | ~ ssList(X5) )
    | ~ spl0_52 ),
    inference(superposition,[],[f170,f580]) ).

fof(f170,axiom,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssItem(X2)
      | X0 = X2
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f1189,plain,
    ( ~ spl0_122
    | ~ spl0_123
    | spl0_124
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1170,f578,f1187,f1183,f1179]) ).

fof(f1170,plain,
    ( ! [X2,X3] :
        ( ~ ssItem(X2)
        | hd(sk3) = X2
        | cons(X2,X3) != sk3
        | ~ ssItem(hd(sk3))
        | ~ ssList(tl(sk3))
        | ~ ssList(X3) )
    | ~ spl0_52 ),
    inference(superposition,[],[f170,f580]) ).

fof(f1161,plain,
    ( ~ spl0_109
    | ~ spl0_108
    | spl0_121
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1090,f572,f1158,f1100,f1104]) ).

fof(f1090,plain,
    ( memberP(sk4,hd(sk4))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | ~ spl0_51 ),
    inference(superposition,[],[f225,f574]) ).

fof(f574,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f1156,plain,
    ( ~ spl0_119
    | spl0_120
    | ~ spl0_109
    | spl0_106
    | ~ spl0_108
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1079,f572,f1100,f1092,f1104,f1153,f1149]) ).

fof(f1149,plain,
    ( spl0_119
  <=> strictorderedP(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1079,plain,
    ( ~ ssList(tl(sk4))
    | nil = tl(sk4)
    | ~ ssItem(hd(sk4))
    | lt(hd(sk4),hd(tl(sk4)))
    | ~ strictorderedP(sk4)
    | ~ spl0_51 ),
    inference(superposition,[],[f134,f574]) ).

fof(f1147,plain,
    ( ~ spl0_109
    | ~ spl0_108
    | spl0_116
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1085,f572,f1135,f1100,f1104]) ).

fof(f1135,plain,
    ( spl0_116
  <=> ! [X9,X8] :
        ( ~ ssItem(X8)
        | ~ ssList(X9)
        | sk4 != cons(X8,X9)
        | tl(sk4) = X9 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1085,plain,
    ( ! [X6,X7] :
        ( sk4 != cons(X6,X7)
        | ~ ssList(X7)
        | ~ ssList(tl(sk4))
        | tl(sk4) = X7
        | ~ ssItem(hd(sk4))
        | ~ ssItem(X6) )
    | ~ spl0_51 ),
    inference(superposition,[],[f171,f574]) ).

fof(f1146,plain,
    ( ~ spl0_108
    | spl0_118
    | ~ spl0_109
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1082,f572,f1104,f1144,f1100]) ).

fof(f1144,plain,
    ( spl0_118
  <=> ! [X1] :
        ( memberP(tl(sk4),X1)
        | hd(sk4) = X1
        | ~ ssItem(X1)
        | ~ memberP(sk4,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1082,plain,
    ( ! [X1] :
        ( ~ ssItem(hd(sk4))
        | memberP(tl(sk4),X1)
        | ~ memberP(sk4,X1)
        | ~ ssItem(X1)
        | hd(sk4) = X1
        | ~ ssList(tl(sk4)) )
    | ~ spl0_51 ),
    inference(superposition,[],[f161,f574]) ).

fof(f1142,plain,
    ( ~ spl0_108
    | ~ spl0_109
    | spl0_115
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1083,f572,f1131,f1104,f1100]) ).

fof(f1131,plain,
    ( spl0_115
  <=> ! [X4,X5] :
        ( ~ ssList(X5)
        | ~ ssItem(X4)
        | hd(sk4) = X4
        | sk4 != cons(X4,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1083,plain,
    ( ! [X2,X3] :
        ( cons(X2,X3) != sk4
        | ~ ssItem(X2)
        | ~ ssItem(hd(sk4))
        | hd(sk4) = X2
        | ~ ssList(X3)
        | ~ ssList(tl(sk4)) )
    | ~ spl0_51 ),
    inference(superposition,[],[f170,f574]) ).

fof(f1141,plain,
    ( ~ spl0_109
    | ~ spl0_108
    | spl0_117
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1087,f572,f1139,f1100,f1104]) ).

fof(f1139,plain,
    ( spl0_117
  <=> ! [X10] :
        ( ~ ssList(app(X10,sk4))
        | memberP(app(X10,sk4),hd(sk4))
        | ~ ssList(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1087,plain,
    ( ! [X10] :
        ( ~ ssList(app(X10,sk4))
        | ~ ssList(tl(sk4))
        | ~ ssItem(hd(sk4))
        | ~ ssList(X10)
        | memberP(app(X10,sk4),hd(sk4)) )
    | ~ spl0_51 ),
    inference(superposition,[],[f198,f574]) ).

fof(f1137,plain,
    ( ~ spl0_109
    | spl0_116
    | ~ spl0_108
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1086,f572,f1100,f1135,f1104]) ).

fof(f1086,plain,
    ( ! [X8,X9] :
        ( ~ ssList(tl(sk4))
        | ~ ssItem(X8)
        | tl(sk4) = X9
        | ~ ssItem(hd(sk4))
        | sk4 != cons(X8,X9)
        | ~ ssList(X9) )
    | ~ spl0_51 ),
    inference(superposition,[],[f171,f574]) ).

fof(f1133,plain,
    ( ~ spl0_109
    | spl0_115
    | ~ spl0_108
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1084,f572,f1100,f1131,f1104]) ).

fof(f1084,plain,
    ( ! [X4,X5] :
        ( ~ ssList(tl(sk4))
        | ~ ssList(X5)
        | sk4 != cons(X4,X5)
        | hd(sk4) = X4
        | ~ ssItem(hd(sk4))
        | ~ ssItem(X4) )
    | ~ spl0_51 ),
    inference(superposition,[],[f170,f574]) ).

fof(f1129,plain,
    ( ~ spl0_114
    | ~ spl0_109
    | ~ spl0_108
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1077,f572,f1100,f1104,f1126]) ).

fof(f1077,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | sk4 != tl(sk4)
    | ~ spl0_51 ),
    inference(superposition,[],[f99,f574]) ).

fof(f1124,plain,
    ( ~ spl0_109
    | ~ spl0_108
    | spl0_113
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1081,f572,f1122,f1100,f1104]) ).

fof(f1122,plain,
    ( spl0_113
  <=> ! [X0] :
        ( memberP(sk4,X0)
        | ~ memberP(tl(sk4),X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1081,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ ssList(tl(sk4))
        | ~ ssItem(X0)
        | ~ memberP(tl(sk4),X0)
        | ~ ssItem(hd(sk4)) )
    | ~ spl0_51 ),
    inference(superposition,[],[f139,f574]) ).

fof(f1120,plain,
    ( ~ spl0_109
    | ~ spl0_108
    | spl0_112
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1089,f572,f1118,f1100,f1104]) ).

fof(f1118,plain,
    ( spl0_112
  <=> ! [X16,X14,X15] :
        ( ~ totalorderedP(app(app(X14,cons(X15,X16)),sk4))
        | ~ ssItem(X15)
        | ~ ssList(X16)
        | ~ ssList(X14)
        | leq(X15,hd(sk4))
        | ~ ssList(app(app(X14,cons(X15,X16)),sk4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1089,plain,
    ( ! [X16,X14,X15] :
        ( ~ totalorderedP(app(app(X14,cons(X15,X16)),sk4))
        | ~ ssList(app(app(X14,cons(X15,X16)),sk4))
        | leq(X15,hd(sk4))
        | ~ ssList(X14)
        | ~ ssList(X16)
        | ~ ssItem(X15)
        | ~ ssList(tl(sk4))
        | ~ ssItem(hd(sk4)) )
    | ~ spl0_51 ),
    inference(superposition,[],[f216,f574]) ).

fof(f1116,plain,
    ( ~ spl0_109
    | ~ spl0_108
    | spl0_111
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1088,f572,f1114,f1100,f1104]) ).

fof(f1114,plain,
    ( spl0_111
  <=> ! [X13,X12,X11] :
        ( ~ ssList(X13)
        | ~ ssList(X11)
        | leq(hd(sk4),X12)
        | ~ ssList(app(app(X11,sk4),cons(X12,X13)))
        | ~ totalorderedP(app(app(X11,sk4),cons(X12,X13)))
        | ~ ssItem(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1088,plain,
    ( ! [X11,X12,X13] :
        ( ~ ssList(X13)
        | ~ ssList(tl(sk4))
        | ~ ssItem(X12)
        | ~ totalorderedP(app(app(X11,sk4),cons(X12,X13)))
        | ~ ssList(app(app(X11,sk4),cons(X12,X13)))
        | leq(hd(sk4),X12)
        | ~ ssList(X11)
        | ~ ssItem(hd(sk4)) )
    | ~ spl0_51 ),
    inference(superposition,[],[f216,f574]) ).

fof(f1112,plain,
    ( spl0_106
    | ~ spl0_21
    | spl0_110
    | ~ spl0_109
    | ~ spl0_108
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1080,f572,f1100,f1104,f1109,f344,f1092]) ).

fof(f344,plain,
    ( spl0_21
  <=> totalorderedP(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1080,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | leq(hd(sk4),hd(tl(sk4)))
    | ~ totalorderedP(sk4)
    | nil = tl(sk4)
    | ~ spl0_51 ),
    inference(superposition,[],[f135,f574]) ).

fof(f1107,plain,
    ( spl0_106
    | spl0_107
    | ~ spl0_21
    | ~ spl0_108
    | ~ spl0_109
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1078,f572,f1104,f1100,f344,f1096,f1092]) ).

fof(f1078,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(tl(sk4))
    | ~ totalorderedP(sk4)
    | totalorderedP(tl(sk4))
    | nil = tl(sk4)
    | ~ spl0_51 ),
    inference(superposition,[],[f125,f574]) ).

fof(f1074,plain,
    ( ~ spl0_17
    | ~ spl0_105
    | ~ spl0_42
    | ~ spl0_40
    | spl0_37 ),
    inference(avatar_split_clause,[],[f1069,f444,f457,f465,f1071,f308]) ).

fof(f1071,plain,
    ( spl0_105
  <=> memberP(skaf68(sk3),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1069,plain,
    ( ~ ssItem(skaf65(sk3))
    | ~ ssList(skaf68(sk3))
    | ~ memberP(skaf68(sk3),sk5)
    | ~ ssItem(sk5)
    | spl0_37 ),
    inference(resolution,[],[f445,f139]) ).

fof(f1068,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_104
    | ~ spl0_28
    | spl0_24 ),
    inference(avatar_split_clause,[],[f1063,f384,f401,f1065,f405,f308]) ).

fof(f405,plain,
    ( spl0_29
  <=> ssItem(skaf65(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f401,plain,
    ( spl0_28
  <=> ssList(skaf68(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1063,plain,
    ( ~ ssList(skaf68(sk4))
    | ~ memberP(skaf68(sk4),sk5)
    | ~ ssItem(skaf65(sk4))
    | ~ ssItem(sk5)
    | spl0_24 ),
    inference(resolution,[],[f385,f139]) ).

fof(f1049,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f961,f432,f927,f923]) ).

fof(f961,plain,
    ( totalorderedP(cons(skaf65(sk3),skaf68(sk3)))
    | app(app(skaf66(cons(skaf65(sk3),skaf68(sk3))),cons(skaf64(cons(skaf65(sk3),skaf68(sk3))),skaf67(cons(skaf65(sk3),skaf68(sk3))))),cons(skaf65(cons(skaf65(sk3),skaf68(sk3))),skaf68(cons(skaf65(sk3),skaf68(sk3))))) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_34 ),
    inference(resolution,[],[f433,f164]) ).

fof(f1048,plain,
    ( ~ spl0_40
    | ~ spl0_42
    | spl0_101
    | spl0_103
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1033,f927,f1045,f1036,f465,f457]) ).

fof(f1033,plain,
    ( leq(skaf65(sk3),hd(skaf68(sk3)))
    | nil = skaf68(sk3)
    | ~ ssList(skaf68(sk3))
    | ~ ssItem(skaf65(sk3))
    | ~ spl0_87 ),
    inference(resolution,[],[f929,f135]) ).

fof(f1043,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1034,f927,f465,f457,f1040,f1036]) ).

fof(f1040,plain,
    ( spl0_102
  <=> totalorderedP(skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1034,plain,
    ( ~ ssList(skaf68(sk3))
    | ~ ssItem(skaf65(sk3))
    | totalorderedP(skaf68(sk3))
    | nil = skaf68(sk3)
    | ~ spl0_87 ),
    inference(resolution,[],[f929,f125]) ).

fof(f1030,plain,
    ( ~ spl0_100
    | spl0_94
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1029,f1002,f990,f1024]) ).

fof(f1024,plain,
    ( spl0_100
  <=> nil = app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1029,plain,
    ( nil != app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),nil)
    | spl0_94
    | ~ spl0_97 ),
    inference(forward_demodulation,[],[f1020,f1004]) ).

fof(f1004,plain,
    ( nil = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1020,plain,
    ( nil != app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),cons(skaf65(nil),skaf68(nil)))
    | spl0_94
    | ~ spl0_97 ),
    inference(backward_demodulation,[],[f991,f1004]) ).

fof(f991,plain,
    ( app(app(skaf66(cons(skaf65(nil),skaf68(nil))),cons(skaf64(cons(skaf65(nil),skaf68(nil))),skaf67(cons(skaf65(nil),skaf68(nil))))),cons(skaf65(cons(skaf65(nil),skaf68(nil))),skaf68(cons(skaf65(nil),skaf68(nil))))) != cons(skaf65(nil),skaf68(nil))
    | spl0_94 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f1027,plain,
    ( ~ spl0_100
    | spl0_66
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1017,f1002,f708,f1024]) ).

fof(f1017,plain,
    ( nil != app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),nil)
    | spl0_66
    | ~ spl0_97 ),
    inference(backward_demodulation,[],[f709,f1004]) ).

fof(f1015,plain,
    ( spl0_99
    | spl0_97
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f980,f713,f1002,f1012]) ).

fof(f980,plain,
    ( nil = cons(skaf65(nil),skaf68(nil))
    | cons(hd(cons(skaf65(nil),skaf68(nil))),tl(cons(skaf65(nil),skaf68(nil)))) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_67 ),
    inference(resolution,[],[f714,f104]) ).

fof(f1010,plain,
    ( spl0_98
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f981,f713,f1007]) ).

fof(f981,plain,
    ( app(nil,cons(skaf65(nil),skaf68(nil))) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_67 ),
    inference(resolution,[],[f714,f74]) ).

fof(f1005,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f979,f713,f1002,f999]) ).

fof(f999,plain,
    ( spl0_96
  <=> ! [X2] :
        ( hd(cons(skaf65(nil),skaf68(nil))) = hd(app(cons(skaf65(nil),skaf68(nil)),X2))
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f979,plain,
    ( ! [X2] :
        ( nil = cons(skaf65(nil),skaf68(nil))
        | hd(cons(skaf65(nil),skaf68(nil))) = hd(app(cons(skaf65(nil),skaf68(nil)),X2))
        | ~ ssList(X2) )
    | ~ spl0_67 ),
    inference(resolution,[],[f714,f123]) ).

fof(f997,plain,
    ( spl0_94
    | spl0_95
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f983,f713,f994,f990]) ).

fof(f983,plain,
    ( totalorderedP(cons(skaf65(nil),skaf68(nil)))
    | app(app(skaf66(cons(skaf65(nil),skaf68(nil))),cons(skaf64(cons(skaf65(nil),skaf68(nil))),skaf67(cons(skaf65(nil),skaf68(nil))))),cons(skaf65(cons(skaf65(nil),skaf68(nil))),skaf68(cons(skaf65(nil),skaf68(nil))))) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_67 ),
    inference(resolution,[],[f714,f164]) ).

fof(f988,plain,
    ( spl0_93
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f982,f713,f985]) ).

fof(f982,plain,
    ( app(cons(skaf65(nil),skaf68(nil)),nil) = cons(skaf65(nil),skaf68(nil))
    | ~ spl0_67 ),
    inference(resolution,[],[f714,f73]) ).

fof(f977,plain,
    spl0_92,
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f976,plain,
    ( $false
    | spl0_92 ),
    inference(resolution,[],[f970,f27]) ).

fof(f970,plain,
    ( ~ ssList(skaf68(nil))
    | spl0_92 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f975,plain,
    ( ~ spl0_13
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f973]) ).

fof(f973,plain,
    ( $false
    | ~ spl0_13
    | spl0_91 ),
    inference(resolution,[],[f966,f292]) ).

fof(f966,plain,
    ( ~ ssItem(skaf65(nil))
    | spl0_91 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f974,plain,
    spl0_91,
    inference(avatar_contradiction_clause,[],[f972]) ).

fof(f972,plain,
    ( $false
    | spl0_91 ),
    inference(resolution,[],[f966,f30]) ).

fof(f971,plain,
    ( ~ spl0_91
    | ~ spl0_92
    | spl0_67 ),
    inference(avatar_split_clause,[],[f962,f713,f968,f964]) ).

fof(f962,plain,
    ( ~ ssList(skaf68(nil))
    | ~ ssItem(skaf65(nil))
    | spl0_67 ),
    inference(resolution,[],[f715,f86]) ).

fof(f715,plain,
    ( ~ ssList(cons(skaf65(nil),skaf68(nil)))
    | spl0_67 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f949,plain,
    ( spl0_90
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f944,f910,f349,f946]) ).

fof(f944,plain,
    ( sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),nil)
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(backward_demodulation,[],[f351,f912]) ).

fof(f940,plain,
    ( spl0_83
    | spl0_89
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f905,f432,f937,f910]) ).

fof(f905,plain,
    ( cons(hd(cons(skaf65(sk3),skaf68(sk3))),tl(cons(skaf65(sk3),skaf68(sk3)))) = cons(skaf65(sk3),skaf68(sk3))
    | nil = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_34 ),
    inference(resolution,[],[f433,f104]) ).

fof(f935,plain,
    ( spl0_88
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f906,f432,f932]) ).

fof(f906,plain,
    ( app(nil,cons(skaf65(sk3),skaf68(sk3))) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_34 ),
    inference(resolution,[],[f433,f74]) ).

fof(f930,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f908,f432,f927,f923]) ).

fof(f908,plain,
    ( totalorderedP(cons(skaf65(sk3),skaf68(sk3)))
    | app(app(skaf66(cons(skaf65(sk3),skaf68(sk3))),cons(skaf64(cons(skaf65(sk3),skaf68(sk3))),skaf67(cons(skaf65(sk3),skaf68(sk3))))),cons(skaf65(cons(skaf65(sk3),skaf68(sk3))),skaf68(cons(skaf65(sk3),skaf68(sk3))))) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_34 ),
    inference(resolution,[],[f433,f164]) ).

fof(f921,plain,
    ( spl0_85
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f907,f432,f918]) ).

fof(f907,plain,
    ( app(cons(skaf65(sk3),skaf68(sk3)),nil) = cons(skaf65(sk3),skaf68(sk3))
    | ~ spl0_34 ),
    inference(resolution,[],[f433,f73]) ).

fof(f916,plain,
    ( spl0_83
    | spl0_84
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f904,f432,f914,f910]) ).

fof(f914,plain,
    ( spl0_84
  <=> ! [X2] :
        ( ~ ssList(X2)
        | hd(cons(skaf65(sk3),skaf68(sk3))) = hd(app(cons(skaf65(sk3),skaf68(sk3)),X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f904,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | nil = cons(skaf65(sk3),skaf68(sk3))
        | hd(cons(skaf65(sk3),skaf68(sk3))) = hd(app(cons(skaf65(sk3),skaf68(sk3)),X2)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f433,f123]) ).

fof(f902,plain,
    ( ~ spl0_40
    | ~ spl0_42
    | spl0_34 ),
    inference(avatar_split_clause,[],[f901,f432,f465,f457]) ).

fof(f901,plain,
    ( ~ ssList(skaf68(sk3))
    | ~ ssItem(skaf65(sk3))
    | spl0_34 ),
    inference(resolution,[],[f434,f86]) ).

fof(f434,plain,
    ( ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
    | spl0_34 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f896,plain,
    ( spl0_81
    | spl0_82
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f864,f392,f893,f889]) ).

fof(f893,plain,
    ( spl0_82
  <=> cons(skaf65(sk4),skaf68(sk4)) = app(app(skaf66(cons(skaf65(sk4),skaf68(sk4))),cons(skaf64(cons(skaf65(sk4),skaf68(sk4))),skaf67(cons(skaf65(sk4),skaf68(sk4))))),cons(skaf65(cons(skaf65(sk4),skaf68(sk4))),skaf68(cons(skaf65(sk4),skaf68(sk4))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f864,plain,
    ( cons(skaf65(sk4),skaf68(sk4)) = app(app(skaf66(cons(skaf65(sk4),skaf68(sk4))),cons(skaf64(cons(skaf65(sk4),skaf68(sk4))),skaf67(cons(skaf65(sk4),skaf68(sk4))))),cons(skaf65(cons(skaf65(sk4),skaf68(sk4))),skaf68(cons(skaf65(sk4),skaf68(sk4)))))
    | totalorderedP(cons(skaf65(sk4),skaf68(sk4)))
    | ~ spl0_26 ),
    inference(resolution,[],[f393,f164]) ).

fof(f887,plain,
    ( spl0_79
    | spl0_80
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f860,f392,f885,f880]) ).

fof(f880,plain,
    ( spl0_79
  <=> nil = cons(skaf65(sk4),skaf68(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f885,plain,
    ( spl0_80
  <=> ! [X2] :
        ( ~ ssList(X2)
        | hd(cons(skaf65(sk4),skaf68(sk4))) = hd(app(cons(skaf65(sk4),skaf68(sk4)),X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f860,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | nil = cons(skaf65(sk4),skaf68(sk4))
        | hd(cons(skaf65(sk4),skaf68(sk4))) = hd(app(cons(skaf65(sk4),skaf68(sk4)),X2)) )
    | ~ spl0_26 ),
    inference(resolution,[],[f393,f123]) ).

fof(f883,plain,
    ( spl0_78
    | spl0_79
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f861,f392,f880,f876]) ).

fof(f876,plain,
    ( spl0_78
  <=> cons(skaf65(sk4),skaf68(sk4)) = cons(hd(cons(skaf65(sk4),skaf68(sk4))),tl(cons(skaf65(sk4),skaf68(sk4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f861,plain,
    ( nil = cons(skaf65(sk4),skaf68(sk4))
    | cons(skaf65(sk4),skaf68(sk4)) = cons(hd(cons(skaf65(sk4),skaf68(sk4))),tl(cons(skaf65(sk4),skaf68(sk4))))
    | ~ spl0_26 ),
    inference(resolution,[],[f393,f104]) ).

fof(f874,plain,
    ( spl0_77
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f863,f392,f871]) ).

fof(f863,plain,
    ( cons(skaf65(sk4),skaf68(sk4)) = app(cons(skaf65(sk4),skaf68(sk4)),nil)
    | ~ spl0_26 ),
    inference(resolution,[],[f393,f73]) ).

fof(f869,plain,
    ( spl0_76
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f862,f392,f866]) ).

fof(f866,plain,
    ( spl0_76
  <=> cons(skaf65(sk4),skaf68(sk4)) = app(nil,cons(skaf65(sk4),skaf68(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f862,plain,
    ( cons(skaf65(sk4),skaf68(sk4)) = app(nil,cons(skaf65(sk4),skaf68(sk4)))
    | ~ spl0_26 ),
    inference(resolution,[],[f393,f74]) ).

fof(f858,plain,
    ( ~ spl0_28
    | ~ spl0_29
    | spl0_26 ),
    inference(avatar_split_clause,[],[f857,f392,f405,f401]) ).

fof(f857,plain,
    ( ~ ssItem(skaf65(sk4))
    | ~ ssList(skaf68(sk4))
    | spl0_26 ),
    inference(resolution,[],[f394,f86]) ).

fof(f394,plain,
    ( ~ ssList(cons(skaf65(sk4),skaf68(sk4)))
    | spl0_26 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f846,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_75
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f838,f522,f843,f249,f244]) ).

fof(f843,plain,
    ( spl0_75
  <=> ! [X5] :
        ( sk4 != app(X5,sk4)
        | ~ ssList(X5)
        | nil = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f522,plain,
    ( spl0_49
  <=> sk4 = app(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f838,plain,
    ( ! [X4] :
        ( ~ ssList(X4)
        | sk4 != app(X4,sk4)
        | ~ ssList(nil)
        | ~ ssList(sk4)
        | nil = X4 )
    | ~ spl0_49 ),
    inference(superposition,[],[f151,f524]) ).

fof(f524,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f845,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_75
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f839,f522,f843,f249,f244]) ).

fof(f839,plain,
    ( ! [X5] :
        ( sk4 != app(X5,sk4)
        | nil = X5
        | ~ ssList(nil)
        | ~ ssList(X5)
        | ~ ssList(sk4) )
    | ~ spl0_49 ),
    inference(superposition,[],[f151,f524]) ).

fof(f830,plain,
    ( ~ spl0_5
    | ~ spl0_4
    | spl0_74
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f820,f489,f825,f244,f249]) ).

fof(f825,plain,
    ( spl0_74
  <=> ! [X2] :
        ( ~ ssList(X2)
        | sk4 != app(sk4,X2)
        | nil = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f489,plain,
    ( spl0_45
  <=> sk4 = app(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f820,plain,
    ( ! [X3] :
        ( ~ ssList(X3)
        | sk4 != app(sk4,X3)
        | ~ ssList(sk4)
        | ~ ssList(nil)
        | nil = X3 )
    | ~ spl0_45 ),
    inference(superposition,[],[f150,f491]) ).

fof(f491,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f827,plain,
    ( ~ spl0_5
    | spl0_74
    | ~ spl0_4
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f819,f489,f244,f825,f249]) ).

fof(f819,plain,
    ( ! [X2] :
        ( ~ ssList(sk4)
        | ~ ssList(X2)
        | nil = X2
        | ~ ssList(nil)
        | sk4 != app(sk4,X2) )
    | ~ spl0_45 ),
    inference(superposition,[],[f150,f491]) ).

fof(f797,plain,
    ( ~ spl0_13
    | spl0_71 ),
    inference(avatar_contradiction_clause,[],[f795]) ).

fof(f795,plain,
    ( $false
    | ~ spl0_13
    | spl0_71 ),
    inference(resolution,[],[f743,f292]) ).

fof(f743,plain,
    ( ~ ssItem(skaf64(nil))
    | spl0_71 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f796,plain,
    spl0_71,
    inference(avatar_contradiction_clause,[],[f794]) ).

fof(f794,plain,
    ( $false
    | spl0_71 ),
    inference(resolution,[],[f743,f31]) ).

fof(f792,plain,
    ( ~ spl0_5
    | spl0_73
    | ~ spl0_7
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f779,f517,f260,f788,f249]) ).

fof(f779,plain,
    ( ! [X0] :
        ( ~ ssList(sk3)
        | nil = X0
        | ~ ssList(X0)
        | sk3 != app(X0,sk3)
        | ~ ssList(nil) )
    | ~ spl0_48 ),
    inference(superposition,[],[f151,f519]) ).

fof(f790,plain,
    ( ~ spl0_7
    | ~ spl0_5
    | spl0_73
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f782,f517,f788,f249,f260]) ).

fof(f782,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | ~ ssList(nil)
        | sk3 != app(X0,sk3)
        | ~ ssList(sk3) )
    | ~ spl0_48 ),
    inference(superposition,[],[f151,f519]) ).

fof(f778,plain,
    spl0_70,
    inference(avatar_contradiction_clause,[],[f777]) ).

fof(f777,plain,
    ( $false
    | spl0_70 ),
    inference(resolution,[],[f736,f29]) ).

fof(f736,plain,
    ( ~ ssList(skaf66(nil))
    | spl0_70 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f775,plain,
    ( ~ spl0_5
    | spl0_72
    | ~ spl0_7
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f764,f499,f260,f771,f249]) ).

fof(f771,plain,
    ( spl0_72
  <=> ! [X2] :
        ( ~ ssList(X2)
        | sk3 != app(sk3,X2)
        | nil = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f764,plain,
    ( ! [X2] :
        ( ~ ssList(sk3)
        | nil = X2
        | ~ ssList(X2)
        | ~ ssList(nil)
        | sk3 != app(sk3,X2) )
    | ~ spl0_47 ),
    inference(superposition,[],[f150,f501]) ).

fof(f773,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_72
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f767,f499,f771,f260,f249]) ).

fof(f767,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | nil = X2
        | ~ ssList(sk3)
        | ~ ssList(nil)
        | sk3 != app(sk3,X2) )
    | ~ spl0_47 ),
    inference(superposition,[],[f150,f501]) ).

fof(f761,plain,
    spl0_58,
    inference(avatar_contradiction_clause,[],[f760]) ).

fof(f760,plain,
    ( $false
    | spl0_58 ),
    inference(resolution,[],[f660,f29]) ).

fof(f660,plain,
    ( ~ ssList(skaf66(sk4))
    | spl0_58 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f759,plain,
    ( ~ spl0_13
    | spl0_57 ),
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f757,plain,
    ( $false
    | ~ spl0_13
    | spl0_57 ),
    inference(resolution,[],[f656,f292]) ).

fof(f656,plain,
    ( ~ ssItem(skaf64(sk4))
    | spl0_57 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f654,plain,
    ( spl0_57
  <=> ssItem(skaf64(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f758,plain,
    spl0_57,
    inference(avatar_contradiction_clause,[],[f756]) ).

fof(f756,plain,
    ( $false
    | spl0_57 ),
    inference(resolution,[],[f656,f31]) ).

fof(f755,plain,
    spl0_56,
    inference(avatar_contradiction_clause,[],[f754]) ).

fof(f754,plain,
    ( $false
    | spl0_56 ),
    inference(resolution,[],[f652,f28]) ).

fof(f652,plain,
    ( ~ ssList(skaf67(sk4))
    | spl0_56 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl0_56
  <=> ssList(skaf67(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f746,plain,
    spl0_69,
    inference(avatar_contradiction_clause,[],[f745]) ).

fof(f745,plain,
    ( $false
    | spl0_69 ),
    inference(resolution,[],[f728,f28]) ).

fof(f728,plain,
    ( ~ ssList(skaf67(nil))
    | spl0_69 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f744,plain,
    ( ~ spl0_71
    | ~ spl0_50
    | spl0_57 ),
    inference(avatar_split_clause,[],[f739,f654,f568,f741]) ).

fof(f739,plain,
    ( ~ ssItem(skaf64(nil))
    | ~ spl0_50
    | spl0_57 ),
    inference(forward_demodulation,[],[f656,f570]) ).

fof(f737,plain,
    ( ~ spl0_70
    | ~ spl0_50
    | spl0_58 ),
    inference(avatar_split_clause,[],[f732,f658,f568,f734]) ).

fof(f732,plain,
    ( ~ ssList(skaf66(nil))
    | ~ spl0_50
    | spl0_58 ),
    inference(forward_demodulation,[],[f660,f570]) ).

fof(f731,plain,
    ( ~ spl0_65
    | ~ spl0_50
    | spl0_51 ),
    inference(avatar_split_clause,[],[f730,f572,f568,f703]) ).

fof(f730,plain,
    ( nil != cons(hd(nil),tl(nil))
    | ~ spl0_50
    | spl0_51 ),
    inference(forward_demodulation,[],[f573,f570]) ).

fof(f729,plain,
    ( ~ spl0_69
    | ~ spl0_50
    | spl0_56 ),
    inference(avatar_split_clause,[],[f724,f650,f568,f726]) ).

fof(f724,plain,
    ( ~ ssList(skaf67(nil))
    | ~ spl0_50
    | spl0_56 ),
    inference(forward_demodulation,[],[f652,f570]) ).

fof(f723,plain,
    ( ~ spl0_68
    | ~ spl0_50
    | spl0_59 ),
    inference(avatar_split_clause,[],[f718,f662,f568,f720]) ).

fof(f720,plain,
    ( spl0_68
  <=> leq(skaf64(nil),skaf65(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f662,plain,
    ( spl0_59
  <=> leq(skaf64(sk4),skaf65(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f718,plain,
    ( ~ leq(skaf64(nil),skaf65(nil))
    | ~ spl0_50
    | spl0_59 ),
    inference(forward_demodulation,[],[f663,f570]) ).

fof(f663,plain,
    ( ~ leq(skaf64(sk4),skaf65(sk4))
    | spl0_59 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f716,plain,
    ( ~ spl0_67
    | spl0_26
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f671,f568,f392,f713]) ).

fof(f671,plain,
    ( ~ ssList(cons(skaf65(nil),skaf68(nil)))
    | spl0_26
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f394,f570]) ).

fof(f711,plain,
    ( spl0_66
    | ~ spl0_20
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f667,f568,f340,f708]) ).

fof(f667,plain,
    ( nil = app(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),cons(skaf65(nil),skaf68(nil)))
    | ~ spl0_20
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f342,f570]) ).

fof(f342,plain,
    ( sk4 = app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4)))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f706,plain,
    ( spl0_65
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f676,f572,f568,f703]) ).

fof(f676,plain,
    ( nil = cons(hd(nil),tl(nil))
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f574,f570]) ).

fof(f701,plain,
    ( ~ spl0_64
    | spl0_23
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f668,f568,f380,f698]) ).

fof(f698,plain,
    ( spl0_64
  <=> memberP(nil,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f380,plain,
    ( spl0_23
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f668,plain,
    ( ~ memberP(nil,sk5)
    | spl0_23
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f382,f570]) ).

fof(f382,plain,
    ( ~ memberP(sk4,sk5)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f696,plain,
    ( ~ spl0_63
    | spl0_30
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f673,f568,f409,f693]) ).

fof(f409,plain,
    ( spl0_30
  <=> memberP(sk4,skaf65(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f673,plain,
    ( ~ memberP(nil,skaf65(nil))
    | spl0_30
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f410,f570]) ).

fof(f410,plain,
    ( ~ memberP(sk4,skaf65(sk4))
    | spl0_30 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f691,plain,
    ( ~ spl0_62
    | spl0_27
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f672,f568,f396,f688]) ).

fof(f396,plain,
    ( spl0_27
  <=> memberP(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f672,plain,
    ( ~ memberP(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))),sk5)
    | spl0_27
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f397,f570]) ).

fof(f397,plain,
    ( ~ memberP(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),sk5)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f686,plain,
    ( ~ spl0_61
    | spl0_24
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f669,f568,f384,f683]) ).

fof(f681,plain,
    ( ~ spl0_60
    | spl0_25
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f670,f568,f388,f678]) ).

fof(f670,plain,
    ( ~ ssList(app(skaf66(nil),cons(skaf64(nil),skaf67(nil))))
    | spl0_25
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f390,f570]) ).

fof(f665,plain,
    ( ~ spl0_56
    | ~ spl0_57
    | ~ spl0_28
    | ~ spl0_21
    | ~ spl0_58
    | ~ spl0_4
    | ~ spl0_29
    | spl0_59
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f373,f340,f662,f405,f244,f658,f344,f401,f654,f650]) ).

fof(f373,plain,
    ( leq(skaf64(sk4),skaf65(sk4))
    | ~ ssItem(skaf65(sk4))
    | ~ ssList(sk4)
    | ~ ssList(skaf66(sk4))
    | ~ totalorderedP(sk4)
    | ~ ssList(skaf68(sk4))
    | ~ ssItem(skaf64(sk4))
    | ~ ssList(skaf67(sk4))
    | ~ spl0_20 ),
    inference(superposition,[],[f216,f342]) ).

fof(f646,plain,
    ( spl0_55
    | spl0_50
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f637,f244,f568,f644]) ).

fof(f637,plain,
    ( ! [X26] :
        ( nil = sk4
        | hd(sk4) = hd(app(sk4,X26))
        | ~ ssList(X26) )
    | ~ spl0_4 ),
    inference(resolution,[],[f123,f246]) ).

fof(f641,plain,
    ( spl0_53
    | spl0_54
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f636,f260,f639,f582]) ).

fof(f636,plain,
    ( ! [X25] :
        ( hd(sk3) = hd(app(sk3,X25))
        | ~ ssList(X25)
        | nil = sk3 )
    | ~ spl0_7 ),
    inference(resolution,[],[f123,f262]) ).

fof(f591,plain,
    spl0_42,
    inference(avatar_contradiction_clause,[],[f590]) ).

fof(f590,plain,
    ( $false
    | spl0_42 ),
    inference(resolution,[],[f467,f27]) ).

fof(f467,plain,
    ( ~ ssList(skaf68(sk3))
    | spl0_42 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f585,plain,
    ( spl0_52
    | spl0_53
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f565,f260,f582,f578]) ).

fof(f565,plain,
    ( nil = sk3
    | sk3 = cons(hd(sk3),tl(sk3))
    | ~ spl0_7 ),
    inference(resolution,[],[f104,f262]) ).

fof(f575,plain,
    ( spl0_50
    | spl0_51
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f566,f244,f572,f568]) ).

fof(f566,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | nil = sk4
    | ~ spl0_4 ),
    inference(resolution,[],[f104,f246]) ).

fof(f546,plain,
    ( ~ spl0_13
    | spl0_40 ),
    inference(avatar_contradiction_clause,[],[f544]) ).

fof(f544,plain,
    ( $false
    | ~ spl0_13
    | spl0_40 ),
    inference(resolution,[],[f459,f292]) ).

fof(f459,plain,
    ( ~ ssItem(skaf65(sk3))
    | spl0_40 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f545,plain,
    spl0_40,
    inference(avatar_contradiction_clause,[],[f543]) ).

fof(f543,plain,
    ( $false
    | spl0_40 ),
    inference(resolution,[],[f459,f30]) ).

fof(f531,plain,
    ( ~ spl0_13
    | spl0_29 ),
    inference(avatar_contradiction_clause,[],[f529]) ).

fof(f529,plain,
    ( $false
    | ~ spl0_13
    | spl0_29 ),
    inference(resolution,[],[f407,f292]) ).

fof(f407,plain,
    ( ~ ssItem(skaf65(sk4))
    | spl0_29 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f530,plain,
    spl0_29,
    inference(avatar_contradiction_clause,[],[f528]) ).

fof(f528,plain,
    ( $false
    | spl0_29 ),
    inference(resolution,[],[f407,f30]) ).

fof(f525,plain,
    ( spl0_49
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f515,f244,f522]) ).

fof(f515,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_4 ),
    inference(resolution,[],[f74,f246]) ).

fof(f520,plain,
    ( spl0_48
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f514,f260,f517]) ).

fof(f514,plain,
    ( sk3 = app(nil,sk3)
    | ~ spl0_7 ),
    inference(resolution,[],[f74,f262]) ).

fof(f504,plain,
    spl0_28,
    inference(avatar_contradiction_clause,[],[f503]) ).

fof(f503,plain,
    ( $false
    | spl0_28 ),
    inference(resolution,[],[f403,f27]) ).

fof(f403,plain,
    ( ~ ssList(skaf68(sk4))
    | spl0_28 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f502,plain,
    ( spl0_47
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f486,f260,f499]) ).

fof(f486,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_7 ),
    inference(resolution,[],[f73,f262]) ).

fof(f497,plain,
    ( spl0_46
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f477,f249,f494]) ).

fof(f494,plain,
    ( spl0_46
  <=> nil = app(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f477,plain,
    ( nil = app(nil,nil)
    | ~ spl0_5 ),
    inference(resolution,[],[f73,f251]) ).

fof(f492,plain,
    ( spl0_45
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f487,f244,f489]) ).

fof(f487,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_4 ),
    inference(resolution,[],[f73,f246]) ).

fof(f476,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | spl0_44
    | ~ spl0_40
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f426,f349,f457,f474,f465,f448]) ).

fof(f426,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(skaf65(sk3))
        | leq(skaf65(sk3),X0)
        | ~ ssList(skaf68(sk3))
        | ~ ssList(app(sk3,cons(X0,X1)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ totalorderedP(app(sk3,cons(X0,X1))) )
    | ~ spl0_22 ),
    inference(superposition,[],[f216,f351]) ).

fof(f472,plain,
    ( ~ spl0_34
    | ~ spl0_38
    | spl0_43
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f430,f349,f470,f448,f432]) ).

fof(f430,plain,
    ( ! [X3] :
        ( ~ memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X3)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | ~ ssItem(X3)
        | memberP(sk3,X3) )
    | ~ spl0_22 ),
    inference(superposition,[],[f140,f351]) ).

fof(f468,plain,
    ( ~ spl0_7
    | ~ spl0_38
    | ~ spl0_40
    | spl0_41
    | ~ spl0_42
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f427,f349,f465,f461,f457,f448,f260]) ).

fof(f427,plain,
    ( ~ ssList(skaf68(sk3))
    | memberP(sk3,skaf65(sk3))
    | ~ ssItem(skaf65(sk3))
    | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | ~ ssList(sk3)
    | ~ spl0_22 ),
    inference(superposition,[],[f198,f351]) ).

fof(f455,plain,
    ( ~ spl0_34
    | spl0_39
    | ~ spl0_38
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f429,f349,f448,f453,f432]) ).

fof(f429,plain,
    ( ! [X2] :
        ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ memberP(cons(skaf65(sk3),skaf68(sk3)),X2)
        | ~ ssItem(X2)
        | memberP(sk3,X2)
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3))) )
    | ~ spl0_22 ),
    inference(superposition,[],[f141,f351]) ).

fof(f451,plain,
    ( ~ spl0_34
    | spl0_35
    | ~ spl0_36
    | spl0_37
    | ~ spl0_38
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f428,f349,f308,f448,f444,f440,f436,f432]) ).

fof(f428,plain,
    ( ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
    | memberP(cons(skaf65(sk3),skaf68(sk3)),sk5)
    | ~ memberP(sk3,sk5)
    | memberP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),sk5)
    | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(superposition,[],[f326,f351]) ).

fof(f424,plain,
    ( ~ spl0_26
    | spl0_33
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f377,f340,f388,f422,f392]) ).

fof(f422,plain,
    ( spl0_33
  <=> ! [X2] :
        ( memberP(sk4,X2)
        | ~ memberP(cons(skaf65(sk4),skaf68(sk4)),X2)
        | ~ ssItem(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f377,plain,
    ( ! [X2] :
        ( ~ ssList(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))))
        | memberP(sk4,X2)
        | ~ ssItem(X2)
        | ~ memberP(cons(skaf65(sk4),skaf68(sk4)),X2)
        | ~ ssList(cons(skaf65(sk4),skaf68(sk4))) )
    | ~ spl0_20 ),
    inference(superposition,[],[f141,f342]) ).

fof(f420,plain,
    ( ~ spl0_28
    | ~ spl0_25
    | ~ spl0_29
    | spl0_32
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f374,f340,f418,f405,f388,f401]) ).

fof(f418,plain,
    ( spl0_32
  <=> ! [X0,X1] :
        ( ~ totalorderedP(app(sk4,cons(X0,X1)))
        | leq(skaf65(sk4),X0)
        | ~ ssList(app(sk4,cons(X0,X1)))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f374,plain,
    ( ! [X0,X1] :
        ( ~ totalorderedP(app(sk4,cons(X0,X1)))
        | ~ ssItem(skaf65(sk4))
        | ~ ssList(X1)
        | ~ ssList(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))))
        | ~ ssItem(X0)
        | ~ ssList(app(sk4,cons(X0,X1)))
        | leq(skaf65(sk4),X0)
        | ~ ssList(skaf68(sk4)) )
    | ~ spl0_20 ),
    inference(superposition,[],[f216,f342]) ).

fof(f416,plain,
    ( ~ spl0_26
    | ~ spl0_25
    | spl0_31
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f378,f340,f414,f388,f392]) ).

fof(f414,plain,
    ( spl0_31
  <=> ! [X3] :
        ( ~ memberP(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),X3)
        | ~ ssItem(X3)
        | memberP(sk4,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f378,plain,
    ( ! [X3] :
        ( ~ memberP(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),X3)
        | ~ ssList(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))))
        | ~ ssList(cons(skaf65(sk4),skaf68(sk4)))
        | memberP(sk4,X3)
        | ~ ssItem(X3) )
    | ~ spl0_20 ),
    inference(superposition,[],[f140,f342]) ).

fof(f412,plain,
    ( ~ spl0_28
    | ~ spl0_29
    | ~ spl0_4
    | ~ spl0_25
    | spl0_30
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f375,f340,f409,f388,f244,f405,f401]) ).

fof(f375,plain,
    ( memberP(sk4,skaf65(sk4))
    | ~ ssList(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))))
    | ~ ssList(sk4)
    | ~ ssItem(skaf65(sk4))
    | ~ ssList(skaf68(sk4))
    | ~ spl0_20 ),
    inference(superposition,[],[f198,f342]) ).

fof(f399,plain,
    ( ~ spl0_23
    | spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | spl0_27
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f376,f340,f308,f396,f392,f388,f384,f380]) ).

fof(f376,plain,
    ( memberP(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),sk5)
    | ~ ssList(cons(skaf65(sk4),skaf68(sk4)))
    | ~ ssList(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))))
    | memberP(cons(skaf65(sk4),skaf68(sk4)),sk5)
    | ~ memberP(sk4,sk5)
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(superposition,[],[f326,f342]) ).

fof(f352,plain,
    ( spl0_22
    | spl0_2
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f337,f260,f234,f349]) ).

fof(f337,plain,
    ( totalorderedP(sk3)
    | sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_7 ),
    inference(resolution,[],[f164,f262]) ).

fof(f347,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f336,f244,f344,f340]) ).

fof(f336,plain,
    ( totalorderedP(sk4)
    | sk4 = app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4)))
    | ~ spl0_4 ),
    inference(resolution,[],[f164,f246]) ).

fof(f321,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f1,f318]) ).

fof(f318,plain,
    ( spl0_19
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f316,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f4,f313]) ).

fof(f313,plain,
    ( spl0_18
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f311,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f192,f308]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f306,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f9,f303]) ).

fof(f303,plain,
    ( spl0_16
  <=> ssItem(skac3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f9,axiom,
    ssItem(skac3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f301,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f6,f298]) ).

fof(f298,plain,
    ( spl0_15
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f6,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f296,plain,
    ( spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f72,f294,f291]) ).

fof(f294,plain,
    ( spl0_14
  <=> ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( duplicatefreeP(X0)
      | ~ ssList(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f289,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f7,f286]) ).

fof(f286,plain,
    ( spl0_12
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f7,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f284,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f5,f281]) ).

fof(f281,plain,
    ( spl0_11
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f5,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f279,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f196,f260]) ).

fof(f196,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f278,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f67,f275]) ).

fof(f67,axiom,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f277,plain,
    ( spl0_10
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f220,f249,f275]) ).

fof(f220,plain,
    ! [X1] :
      ( ~ ssList(nil)
      | totalorderedP(cons(X1,nil))
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f113]) ).

fof(f113,axiom,
    ! [X0,X1] :
      ( nil != X0
      | ~ ssItem(X1)
      | totalorderedP(cons(X1,X0))
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f273,plain,
    ~ spl0_9,
    inference(avatar_split_clause,[],[f54,f270]) ).

fof(f270,plain,
    ( spl0_9
  <=> skac3 = skac2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f54,axiom,
    skac3 != skac2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f268,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f10,f265]) ).

fof(f265,plain,
    ( spl0_8
  <=> ssItem(skac2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f10,axiom,
    ssItem(skac2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f263,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f188,f260]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f258,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f197,f244]) ).

fof(f197,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f257,plain,
    ~ spl0_6,
    inference(avatar_split_clause,[],[f11,f254]) ).

fof(f254,plain,
    ( spl0_6
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f11,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

fof(f252,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f8,f249]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f247,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f189,f244]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f242,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f2,f239]) ).

fof(f239,plain,
    ( spl0_3
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f237,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f195,f234]) ).

fof(f195,plain,
    ~ totalorderedP(sk3),
    inference(definition_unfolding,[],[f194,f191]) ).

fof(f194,axiom,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f232,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f3,f229]) ).

fof(f229,plain,
    ( spl0_1
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem    : SWC261-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.31  % Computer : n025.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 30 18:49:00 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.46  % (2409)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.46  % (2395)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.47  % (2401)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.47  % (2391)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)
% 0.16/0.48  % (2414)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)
% 0.16/0.49  % (2406)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)
% 0.16/0.49  % (2394)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)
% 0.16/0.49  % (2417)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)
% 0.16/0.50  % (2398)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50  % (2413)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)
% 0.16/0.50  % (2405)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)
% 0.16/0.51  % (2403)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.52  % (2398)Instruction limit reached!
% 0.16/0.52  % (2398)------------------------------
% 0.16/0.52  % (2398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (2398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (2398)Termination reason: Unknown
% 0.16/0.52  % (2398)Termination phase: Saturation
% 0.16/0.52  
% 0.16/0.52  % (2398)Memory used [KB]: 5628
% 0.16/0.52  % (2398)Time elapsed: 0.081 s
% 0.16/0.52  % (2398)Instructions burned: 7 (million)
% 0.16/0.52  % (2398)------------------------------
% 0.16/0.52  % (2398)------------------------------
% 0.16/0.52  % (2418)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)
% 0.16/0.52  % (2393)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)
% 0.16/0.52  TRYING [1]
% 0.16/0.52  TRYING [2]
% 0.16/0.53  % (2410)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)
% 0.16/0.53  % (2402)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)
% 0.16/0.53  % (2396)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)
% 0.16/0.53  % (2392)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)
% 0.16/0.53  % (2408)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.54  % (2397)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)
% 0.16/0.54  % (2404)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.54  % (2416)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.55  % (2419)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.55  % (2411)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)
% 0.16/0.55  % (2415)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.55  % (2400)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)
% 0.16/0.56  % (2420)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)
% 0.16/0.56  % (2392)Refutation not found, incomplete strategy% (2392)------------------------------
% 0.16/0.56  % (2392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56  % (2392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56  % (2392)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.56  
% 0.16/0.56  % (2392)Memory used [KB]: 5756
% 0.16/0.56  % (2392)Time elapsed: 0.158 s
% 0.16/0.56  % (2392)Instructions burned: 11 (million)
% 0.16/0.56  % (2392)------------------------------
% 0.16/0.56  % (2392)------------------------------
% 0.16/0.56  % (2401)Instruction limit reached!
% 0.16/0.56  % (2401)------------------------------
% 0.16/0.56  % (2401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56  % (2401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56  % (2401)Termination reason: Unknown
% 0.16/0.56  % (2401)Termination phase: Saturation
% 0.16/0.56  
% 0.16/0.56  % (2401)Memory used [KB]: 6652
% 0.16/0.56  % (2401)Time elapsed: 0.166 s
% 0.16/0.56  % (2401)Instructions burned: 50 (million)
% 0.16/0.56  % (2401)------------------------------
% 0.16/0.56  % (2401)------------------------------
% 0.16/0.56  % (2407)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)
% 0.16/0.57  % (2399)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.57  TRYING [3]
% 0.16/0.57  % (2412)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.57  % (2399)Instruction limit reached!
% 0.16/0.57  % (2399)------------------------------
% 0.16/0.57  % (2399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57  % (2399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57  % (2399)Termination reason: Unknown
% 0.16/0.57  % (2399)Termination phase: Property scanning
% 0.16/0.57  
% 0.16/0.57  % (2399)Memory used [KB]: 1151
% 0.16/0.57  % (2399)Time elapsed: 0.003 s
% 0.16/0.57  % (2399)Instructions burned: 3 (million)
% 0.16/0.57  % (2399)------------------------------
% 0.16/0.57  % (2399)------------------------------
% 0.16/0.58  % (2394)Instruction limit reached!
% 0.16/0.58  % (2394)------------------------------
% 0.16/0.58  % (2394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59  % (2395)Instruction limit reached!
% 0.16/0.59  % (2395)------------------------------
% 0.16/0.59  % (2395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59  % (2395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59  % (2395)Termination reason: Unknown
% 0.16/0.59  % (2395)Termination phase: Saturation
% 0.16/0.59  
% 0.16/0.59  % (2395)Memory used [KB]: 6524
% 0.16/0.59  % (2395)Time elapsed: 0.229 s
% 0.16/0.59  % (2395)Instructions burned: 51 (million)
% 0.16/0.59  % (2395)------------------------------
% 0.16/0.59  % (2395)------------------------------
% 0.16/0.59  % (2394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59  % (2394)Termination reason: Unknown
% 0.16/0.59  % (2394)Termination phase: Saturation
% 0.16/0.59  
% 0.16/0.59  % (2394)Memory used [KB]: 6524
% 0.16/0.59  % (2394)Time elapsed: 0.181 s
% 0.16/0.59  % (2394)Instructions burned: 51 (million)
% 0.16/0.59  % (2394)------------------------------
% 0.16/0.59  % (2394)------------------------------
% 0.16/0.59  TRYING [1]
% 0.16/0.59  TRYING [1]
% 0.16/0.59  TRYING [2]
% 0.16/0.59  TRYING [2]
% 0.16/0.60  % (2393)Instruction limit reached!
% 0.16/0.60  % (2393)------------------------------
% 0.16/0.60  % (2393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60  % (2393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60  % (2393)Termination reason: Unknown
% 0.16/0.60  % (2393)Termination phase: Saturation
% 0.16/0.60  
% 0.16/0.60  % (2393)Memory used [KB]: 1535
% 0.16/0.60  % (2393)Time elapsed: 0.206 s
% 0.16/0.60  % (2393)Instructions burned: 37 (million)
% 0.16/0.60  % (2393)------------------------------
% 0.16/0.60  % (2393)------------------------------
% 0.16/0.61  % (2417)Instruction limit reached!
% 0.16/0.61  % (2417)------------------------------
% 0.16/0.61  % (2417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.62  % (2417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.62  % (2417)Termination reason: Unknown
% 0.16/0.62  % (2417)Termination phase: Saturation
% 0.16/0.62  
% 0.16/0.62  % (2417)Memory used [KB]: 7036
% 0.16/0.62  % (2417)Time elapsed: 0.050 s
% 0.16/0.62  % (2417)Instructions burned: 68 (million)
% 0.16/0.62  % (2417)------------------------------
% 0.16/0.62  % (2417)------------------------------
% 2.26/0.63  % (2405)Instruction limit reached!
% 2.26/0.63  % (2405)------------------------------
% 2.26/0.63  % (2405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.63  % (2405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.63  % (2405)Termination reason: Unknown
% 2.26/0.63  % (2405)Termination phase: Saturation
% 2.26/0.63  
% 2.26/0.63  % (2405)Memory used [KB]: 7036
% 2.26/0.63  % (2405)Time elapsed: 0.062 s
% 2.26/0.63  % (2405)Instructions burned: 69 (million)
% 2.26/0.63  % (2405)------------------------------
% 2.26/0.63  % (2405)------------------------------
% 2.26/0.63  TRYING [3]
% 2.26/0.64  % (2409)Instruction limit reached!
% 2.26/0.64  % (2409)------------------------------
% 2.26/0.64  % (2409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.64  % (2409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.64  % (2409)Termination reason: Unknown
% 2.26/0.64  % (2409)Termination phase: Saturation
% 2.26/0.64  
% 2.26/0.64  % (2409)Memory used [KB]: 7547
% 2.26/0.64  % (2409)Time elapsed: 0.265 s
% 2.26/0.64  % (2409)Instructions burned: 101 (million)
% 2.26/0.64  % (2409)------------------------------
% 2.26/0.64  % (2409)------------------------------
% 2.26/0.64  % (2396)Instruction limit reached!
% 2.26/0.64  % (2396)------------------------------
% 2.26/0.64  % (2396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.64  % (2396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.64  % (2396)Termination reason: Unknown
% 2.26/0.64  % (2396)Termination phase: Saturation
% 2.26/0.64  
% 2.26/0.64  % (2396)Memory used [KB]: 6268
% 2.26/0.64  % (2396)Time elapsed: 0.260 s
% 2.26/0.64  % (2396)Instructions burned: 49 (million)
% 2.26/0.64  % (2396)------------------------------
% 2.26/0.64  % (2396)------------------------------
% 2.45/0.65  TRYING [3]
% 2.45/0.65  % (2397)Instruction limit reached!
% 2.45/0.65  % (2397)------------------------------
% 2.45/0.65  % (2397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.65  % (2397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.65  % (2397)Termination reason: Unknown
% 2.45/0.65  % (2397)Termination phase: Finite model building constraint generation
% 2.45/0.65  
% 2.45/0.65  % (2397)Memory used [KB]: 7803
% 2.45/0.65  % (2397)Time elapsed: 0.263 s
% 2.45/0.65  % (2397)Instructions burned: 52 (million)
% 2.45/0.65  % (2397)------------------------------
% 2.45/0.65  % (2397)------------------------------
% 2.47/0.65  % (2408)Instruction limit reached!
% 2.47/0.65  % (2408)------------------------------
% 2.47/0.65  % (2408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.65  % (2408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.65  % (2408)Termination reason: Unknown
% 2.47/0.65  % (2408)Termination phase: Finite model building constraint generation
% 2.47/0.65  
% 2.47/0.65  % (2408)Memory used [KB]: 8443
% 2.47/0.65  % (2408)Time elapsed: 0.270 s
% 2.47/0.65  % (2408)Instructions burned: 59 (million)
% 2.47/0.65  % (2408)------------------------------
% 2.47/0.65  % (2408)------------------------------
% 2.47/0.65  % (2406)Instruction limit reached!
% 2.47/0.65  % (2406)------------------------------
% 2.47/0.65  % (2406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.65  % (2406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.65  % (2406)Termination reason: Unknown
% 2.47/0.65  % (2406)Termination phase: Saturation
% 2.47/0.65  
% 2.47/0.65  % (2406)Memory used [KB]: 2430
% 2.47/0.65  % (2406)Time elapsed: 0.223 s
% 2.47/0.65  % (2406)Instructions burned: 75 (million)
% 2.47/0.65  % (2406)------------------------------
% 2.47/0.65  % (2406)------------------------------
% 2.47/0.67  % (2400)Instruction limit reached!
% 2.47/0.67  % (2400)------------------------------
% 2.47/0.67  % (2400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.67  % (2400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.67  % (2400)Termination reason: Unknown
% 2.47/0.67  % (2400)Termination phase: Saturation
% 2.47/0.67  
% 2.47/0.67  % (2400)Memory used [KB]: 2174
% 2.47/0.67  % (2400)Time elapsed: 0.274 s
% 2.47/0.67  % (2400)Instructions burned: 52 (million)
% 2.47/0.67  % (2400)------------------------------
% 2.47/0.67  % (2400)------------------------------
% 2.47/0.69  % (2423)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 (2997ds/90Mi)
% 2.81/0.75  % (2410)Instruction limit reached!
% 2.81/0.75  % (2410)------------------------------
% 2.81/0.75  % (2410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.75  % (2410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.75  % (2410)Termination reason: Unknown
% 2.81/0.75  % (2410)Termination phase: Saturation
% 2.81/0.75  
% 2.81/0.75  % (2410)Memory used [KB]: 2430
% 2.81/0.75  % (2410)Time elapsed: 0.364 s
% 2.81/0.75  % (2410)Instructions burned: 102 (million)
% 2.81/0.75  % (2410)------------------------------
% 2.81/0.75  % (2410)------------------------------
% 3.10/0.75  % (2421)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 (2998ds/388Mi)
% 3.10/0.76  % (2403)Instruction limit reached!
% 3.10/0.76  % (2403)------------------------------
% 3.10/0.76  % (2403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.76  % (2403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.76  % (2403)Termination reason: Unknown
% 3.10/0.76  % (2403)Termination phase: Saturation
% 3.10/0.76  
% 3.10/0.76  % (2403)Memory used [KB]: 7419
% 3.10/0.76  % (2403)Time elapsed: 0.382 s
% 3.10/0.76  % (2403)Instructions burned: 101 (million)
% 3.10/0.76  % (2403)------------------------------
% 3.10/0.76  % (2403)------------------------------
% 3.10/0.76  % (2402)Instruction limit reached!
% 3.10/0.76  % (2402)------------------------------
% 3.10/0.76  % (2402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.76  % (2402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.76  % (2402)Termination reason: Unknown
% 3.10/0.76  % (2402)Termination phase: Saturation
% 3.10/0.76  
% 3.10/0.76  % (2402)Memory used [KB]: 7291
% 3.10/0.76  % (2402)Time elapsed: 0.365 s
% 3.10/0.76  % (2402)Instructions burned: 101 (million)
% 3.10/0.76  % (2402)------------------------------
% 3.10/0.76  % (2402)------------------------------
% 3.10/0.76  TRYING [4]
% 3.10/0.77  % (2426)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 (2997ds/747Mi)
% 3.10/0.78  % (2427)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 (2997ds/655Mi)
% 3.10/0.79  % (2404)Instruction limit reached!
% 3.10/0.79  % (2404)------------------------------
% 3.10/0.79  % (2404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.79  % (2404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.79  % (2404)Termination reason: Unknown
% 3.10/0.79  % (2404)Termination phase: Saturation
% 3.10/0.79  
% 3.10/0.79  % (2404)Memory used [KB]: 7291
% 3.10/0.79  % (2404)Time elapsed: 0.406 s
% 3.10/0.79  % (2404)Instructions burned: 99 (million)
% 3.10/0.79  % (2404)------------------------------
% 3.10/0.79  % (2404)------------------------------
% 3.10/0.79  % (2425)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.10/0.80  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.10/0.80  % (2422)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 (2997ds/211Mi)
% 3.10/0.80  % (2430)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 (2996ds/981Mi)
% 3.10/0.81  % (2407)Instruction limit reached!
% 3.10/0.81  % (2407)------------------------------
% 3.10/0.81  % (2407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.81  % (2407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.81  % (2407)Termination reason: Unknown
% 3.10/0.81  % (2407)Termination phase: Saturation
% 3.10/0.81  
% 3.10/0.81  % (2407)Memory used [KB]: 6780
% 3.10/0.81  % (2407)Time elapsed: 0.426 s
% 3.10/0.81  % (2407)Instructions burned: 99 (million)
% 3.10/0.81  % (2407)------------------------------
% 3.10/0.81  % (2407)------------------------------
% 3.10/0.81  % (2433)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.10/0.82  % (2424)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.10/0.82  % (2429)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 (2996ds/940Mi)
% 3.10/0.82  % (2435)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.55/0.85  % (2428)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 (2997ds/68Mi)
% 3.55/0.88  % (2423)Instruction limit reached!
% 3.55/0.88  % (2423)------------------------------
% 3.55/0.88  % (2423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.55/0.88  % (2423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.55/0.88  % (2423)Termination reason: Unknown
% 3.55/0.88  % (2423)Termination phase: Saturation
% 3.55/0.88  
% 3.55/0.88  % (2423)Memory used [KB]: 6780
% 3.55/0.88  % (2423)Time elapsed: 0.236 s
% 3.55/0.88  % (2423)Instructions burned: 90 (million)
% 3.55/0.88  % (2423)------------------------------
% 3.55/0.88  % (2423)------------------------------
% 3.55/0.89  % (2431)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)
% 3.55/0.89  % (2432)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 (2996ds/2016Mi)
% 3.73/0.89  % (2434)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 (2996ds/4958Mi)
% 3.73/0.90  % (2412)Instruction limit reached!
% 3.73/0.90  % (2412)------------------------------
% 3.73/0.90  % (2412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/0.90  % (2412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/0.90  % (2412)Termination reason: Unknown
% 3.73/0.90  % (2412)Termination phase: Saturation
% 3.73/0.90  
% 3.73/0.90  % (2412)Memory used [KB]: 8059
% 3.73/0.90  % (2412)Time elapsed: 0.505 s
% 3.73/0.90  % (2412)Instructions burned: 139 (million)
% 3.73/0.90  % (2412)------------------------------
% 3.73/0.90  % (2412)------------------------------
% 3.73/0.93  % (2418)Instruction limit reached!
% 3.73/0.93  % (2418)------------------------------
% 3.73/0.93  % (2418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/0.93  % (2418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/0.93  % (2418)Termination reason: Unknown
% 3.73/0.93  % (2418)Termination phase: Saturation
% 3.73/0.93  
% 3.73/0.93  % (2418)Memory used [KB]: 4221
% 3.73/0.93  % (2418)Time elapsed: 0.565 s
% 3.73/0.93  % (2418)Instructions burned: 178 (million)
% 3.73/0.93  % (2418)------------------------------
% 3.73/0.93  % (2418)------------------------------
% 3.73/0.94  % (2436)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.96/0.95  % (2438)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)
% 3.96/0.97  % (2411)Instruction limit reached!
% 3.96/0.97  % (2411)------------------------------
% 3.96/0.97  % (2411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.96/0.97  % (2411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.96/0.97  % (2411)Termination reason: Unknown
% 3.96/0.97  % (2411)Termination phase: Saturation
% 3.96/0.97  
% 3.96/0.97  % (2411)Memory used [KB]: 7036
% 3.96/0.97  % (2411)Time elapsed: 0.588 s
% 3.96/0.97  % (2411)Instructions burned: 177 (million)
% 3.96/0.97  % (2411)------------------------------
% 3.96/0.97  % (2411)------------------------------
% 4.13/1.00  % (2437)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 (2995ds/4931Mi)
% 4.13/1.04  % (2439)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 (2995ds/1824Mi)
% 4.13/1.05  % (2428)Instruction limit reached!
% 4.13/1.05  % (2428)------------------------------
% 4.13/1.05  % (2428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.13/1.05  % (2428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.13/1.05  % (2428)Termination reason: Unknown
% 4.13/1.05  % (2428)Termination phase: Saturation
% 4.13/1.05  
% 4.13/1.05  % (2428)Memory used [KB]: 7036
% 4.13/1.05  % (2428)Time elapsed: 0.053 s
% 4.13/1.05  % (2428)Instructions burned: 68 (million)
% 4.13/1.05  % (2428)------------------------------
% 4.13/1.05  % (2428)------------------------------
% 4.38/1.05  % (2440)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 (2995ds/2134Mi)
% 4.38/1.11  % (2431)Instruction limit reached!
% 4.38/1.11  % (2431)------------------------------
% 4.38/1.11  % (2431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.38/1.11  % (2431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.38/1.11  % (2431)Termination reason: Unknown
% 4.38/1.11  % (2431)Termination phase: Saturation
% 4.38/1.11  
% 4.38/1.11  % (2431)Memory used [KB]: 6780
% 4.38/1.11  % (2431)Time elapsed: 0.413 s
% 4.38/1.11  % (2431)Instructions burned: 90 (million)
% 4.38/1.11  % (2431)------------------------------
% 4.38/1.11  % (2431)------------------------------
% 4.38/1.12  % (2438)Instruction limit reached!
% 4.38/1.12  % (2438)------------------------------
% 4.38/1.12  % (2438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.38/1.12  % (2438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.38/1.12  % (2438)Termination reason: Unknown
% 4.38/1.12  % (2438)Termination phase: Saturation
% 4.38/1.12  
% 4.38/1.12  % (2438)Memory used [KB]: 7036
% 4.38/1.12  % (2438)Time elapsed: 0.039 s
% 4.38/1.12  % (2438)Instructions burned: 69 (million)
% 4.38/1.12  % (2438)------------------------------
% 4.38/1.12  % (2438)------------------------------
% 4.38/1.13  % (2443)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 (2994ds/90Mi)
% 4.38/1.14  % (2441)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 4.38/1.16  % (2442)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 6.53/1.18  % (2444)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 (2993ds/2016Mi)
% 7.02/1.27  % (2445)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.41/1.32  % (2443)Instruction limit reached!
% 7.41/1.32  % (2443)------------------------------
% 7.41/1.32  % (2443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.41/1.32  % (2443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.41/1.32  % (2443)Termination reason: Unknown
% 7.41/1.32  % (2443)Termination phase: Saturation
% 7.41/1.32  
% 7.41/1.32  % (2443)Memory used [KB]: 7164
% 7.41/1.32  % (2443)Time elapsed: 0.354 s
% 7.41/1.32  % (2443)Instructions burned: 91 (million)
% 7.41/1.32  % (2443)------------------------------
% 7.41/1.32  % (2443)------------------------------
% 7.41/1.33  % (2447)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)
% 7.41/1.34  % (2422)Instruction limit reached!
% 7.41/1.34  % (2422)------------------------------
% 7.41/1.34  % (2422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.41/1.34  % (2422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.41/1.34  % (2422)Termination reason: Unknown
% 7.41/1.34  % (2422)Termination phase: Saturation
% 7.41/1.34  
% 7.41/1.34  % (2422)Memory used [KB]: 4477
% 7.41/1.34  % (2422)Time elapsed: 0.696 s
% 7.41/1.34  % (2422)Instructions burned: 211 (million)
% 7.41/1.34  % (2422)------------------------------
% 7.41/1.34  % (2422)------------------------------
% 7.96/1.36  % (2446)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 (2992ds/9965Mi)
% 8.51/1.43  TRYING [5]
% 8.73/1.52  % (2420)Instruction limit reached!
% 8.73/1.52  % (2420)------------------------------
% 8.73/1.52  % (2420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.73/1.52  % (2420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.73/1.52  % (2420)Termination reason: Unknown
% 8.73/1.52  % (2420)Termination phase: Saturation
% 8.73/1.52  
% 8.73/1.52  % (2420)Memory used [KB]: 11129
% 8.73/1.52  % (2420)Time elapsed: 1.091 s
% 8.73/1.52  % (2420)Instructions burned: 355 (million)
% 8.73/1.52  % (2420)------------------------------
% 8.73/1.52  % (2420)------------------------------
% 8.73/1.52  % (2448)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 (2989ds/9902Mi)
% 9.34/1.57  % (2413)Instruction limit reached!
% 9.34/1.57  % (2413)------------------------------
% 9.34/1.57  % (2413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.34/1.57  % (2413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.34/1.57  % (2413)Termination reason: Unknown
% 9.34/1.57  % (2413)Termination phase: Saturation
% 9.34/1.57  
% 9.34/1.57  % (2413)Memory used [KB]: 5884
% 9.34/1.57  % (2413)Time elapsed: 1.165 s
% 9.34/1.57  % (2413)Instructions burned: 499 (million)
% 9.34/1.57  % (2413)------------------------------
% 9.34/1.57  % (2413)------------------------------
% 9.68/1.61  % (2414)Instruction limit reached!
% 9.68/1.61  % (2414)------------------------------
% 9.68/1.61  % (2414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.68/1.61  % (2414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.68/1.61  % (2414)Termination reason: Unknown
% 9.68/1.61  % (2414)Termination phase: Saturation
% 9.68/1.61  
% 9.68/1.61  % (2414)Memory used [KB]: 12025
% 9.68/1.61  % (2414)Time elapsed: 1.181 s
% 9.68/1.61  % (2414)Instructions burned: 468 (million)
% 9.68/1.61  % (2414)------------------------------
% 9.68/1.61  % (2414)------------------------------
% 9.68/1.62  % (2450)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 (2989ds/1824Mi)
% 10.21/1.65  % (2421)Instruction limit reached!
% 10.21/1.65  % (2421)------------------------------
% 10.21/1.65  % (2421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.21/1.65  % (2421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.21/1.65  % (2421)Termination reason: Unknown
% 10.21/1.65  % (2421)Termination phase: Saturation
% 10.21/1.65  
% 10.21/1.65  % (2421)Memory used [KB]: 9850
% 10.21/1.65  % (2421)Time elapsed: 1.017 s
% 10.21/1.65  % (2421)Instructions burned: 388 (million)
% 10.21/1.65  % (2421)------------------------------
% 10.21/1.65  % (2421)------------------------------
% 10.36/1.72  % (2416)Instruction limit reached!
% 10.36/1.72  % (2416)------------------------------
% 10.36/1.72  % (2416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.36/1.72  % (2416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.36/1.72  % (2416)Termination reason: Unknown
% 10.36/1.72  % (2416)Termination phase: Saturation
% 10.36/1.72  
% 10.36/1.72  % (2416)Memory used [KB]: 13048
% 10.36/1.72  % (2416)Time elapsed: 1.342 s
% 10.36/1.72  % (2416)Instructions burned: 501 (million)
% 10.36/1.72  % (2416)------------------------------
% 10.36/1.72  % (2416)------------------------------
% 10.36/1.73  % (2419)Instruction limit reached!
% 10.36/1.73  % (2419)------------------------------
% 10.36/1.73  % (2419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.36/1.74  % (2419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.36/1.74  % (2419)Termination reason: Unknown
% 10.36/1.74  % (2419)Termination phase: Saturation
% 10.36/1.74  
% 10.36/1.74  % (2419)Memory used [KB]: 10234
% 10.36/1.74  % (2419)Time elapsed: 1.350 s
% 10.36/1.74  % (2419)Instructions burned: 439 (million)
% 10.36/1.74  % (2419)------------------------------
% 10.36/1.74  % (2419)------------------------------
% 10.36/1.74  % (2415)Instruction limit reached!
% 10.36/1.74  % (2415)------------------------------
% 10.36/1.74  % (2415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.36/1.74  % (2415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.36/1.74  % (2415)Termination reason: Unknown
% 10.36/1.74  % (2415)Termination phase: Saturation
% 10.36/1.74  
% 10.36/1.74  % (2415)Memory used [KB]: 13304
% 10.36/1.74  % (2415)Time elapsed: 1.286 s
% 10.36/1.74  % (2415)Instructions burned: 482 (million)
% 10.36/1.74  % (2415)------------------------------
% 10.36/1.74  % (2415)------------------------------
% 11.05/1.77  % (2451)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9989Mi)
% 11.41/1.80  % (2452)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/9707Mi)
% 11.41/1.85  % (2453)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 (2987ds/90Mi)
% 11.94/1.87  % (2454)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)
% 12.44/1.93  % (2455)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 (2985ds/4958Mi)
% 12.57/1.95  % (2457)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 (2985ds/32293Mi)
% 12.57/2.00  % (2456)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 (2985ds/35256Mi)
% 13.53/2.10  % (2453)Instruction limit reached!
% 13.53/2.10  % (2453)------------------------------
% 13.53/2.10  % (2453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.53/2.10  % (2453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.53/2.10  % (2453)Termination reason: Unknown
% 13.53/2.10  % (2453)Termination phase: Saturation
% 13.53/2.10  
% 13.53/2.10  % (2453)Memory used [KB]: 7291
% 13.53/2.10  % (2453)Time elapsed: 0.441 s
% 13.53/2.10  % (2453)Instructions burned: 91 (million)
% 13.53/2.10  % (2453)------------------------------
% 13.53/2.10  % (2453)------------------------------
% 15.86/2.36  % (2427)Instruction limit reached!
% 15.86/2.36  % (2427)------------------------------
% 15.86/2.36  % (2427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.86/2.36  % (2427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.86/2.36  % (2427)Termination reason: Unknown
% 15.86/2.36  % (2427)Termination phase: Saturation
% 15.86/2.36  
% 15.86/2.36  % (2427)Memory used [KB]: 7419
% 15.86/2.36  % (2427)Time elapsed: 1.702 s
% 15.86/2.36  % (2427)Instructions burned: 655 (million)
% 15.86/2.36  % (2427)------------------------------
% 15.86/2.36  % (2427)------------------------------
% 15.86/2.37  % (2458)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)
% 16.32/2.45  % (2429)Instruction limit reached!
% 16.32/2.45  % (2429)------------------------------
% 16.32/2.45  % (2429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.76/2.47  % (2429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.76/2.47  % (2429)Termination reason: Unknown
% 16.76/2.47  % (2429)Termination phase: Saturation
% 16.76/2.47  
% 16.76/2.47  % (2429)Memory used [KB]: 17782
% 16.76/2.47  % (2429)Time elapsed: 1.719 s
% 16.76/2.47  % (2429)Instructions burned: 941 (million)
% 16.76/2.47  % (2429)------------------------------
% 16.76/2.47  % (2429)------------------------------
% 16.76/2.52  % (2430)Instruction limit reached!
% 16.76/2.52  % (2430)------------------------------
% 16.76/2.52  % (2430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.76/2.52  % (2430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.76/2.52  % (2430)Termination reason: Unknown
% 16.76/2.52  % (2430)Termination phase: Saturation
% 16.76/2.52  
% 16.76/2.52  % (2430)Memory used [KB]: 16758
% 16.76/2.52  % (2430)Time elapsed: 1.655 s
% 16.76/2.52  % (2430)Instructions burned: 981 (million)
% 16.76/2.52  % (2430)------------------------------
% 16.76/2.52  % (2430)------------------------------
% 17.48/2.56  % (2459)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/10187Mi)
% 17.77/2.61  % (2426)Instruction limit reached!
% 17.77/2.61  % (2426)------------------------------
% 17.77/2.61  % (2426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.77/2.61  % (2426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.77/2.61  % (2426)Termination reason: Unknown
% 17.77/2.61  % (2426)Termination phase: Saturation
% 17.77/2.61  
% 17.77/2.61  % (2426)Memory used [KB]: 14200
% 17.77/2.61  % (2426)Time elapsed: 1.943 s
% 17.77/2.61  % (2426)Instructions burned: 747 (million)
% 17.77/2.61  % (2426)------------------------------
% 17.77/2.61  % (2426)------------------------------
% 18.09/2.65  % (2461)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 (2978ds/10147Mi)
% 18.09/2.72  % (2460)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)
% 19.13/2.82  % (2462)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/38056Mi)
% 19.13/2.85  TRYING [1]
% 19.13/2.85  TRYING [2]
% 19.47/2.88  TRYING [3]
% 20.10/2.97  % (2425)Instruction limit reached!
% 20.10/2.97  % (2425)------------------------------
% 20.10/2.97  % (2425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.10/2.97  % (2425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.10/2.97  % (2425)Termination reason: Unknown
% 20.10/2.97  % (2425)Termination phase: Saturation
% 20.10/2.97  
% 20.10/2.97  % (2425)Memory used [KB]: 20596
% 20.10/2.97  % (2425)Time elapsed: 2.324 s
% 20.10/2.97  % (2425)Instructions burned: 935 (million)
% 20.10/2.97  % (2425)------------------------------
% 20.10/2.97  % (2425)------------------------------
% 21.15/3.04  TRYING [4]
% 22.63/3.20  % (2424)Instruction limit reached!
% 22.63/3.20  % (2424)------------------------------
% 22.63/3.20  % (2424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.63/3.20  % (2424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.63/3.20  % (2424)Termination reason: Unknown
% 22.63/3.20  % (2424)Termination phase: Saturation
% 22.63/3.20  
% 22.63/3.20  % (2424)Memory used [KB]: 23283
% 22.63/3.20  % (2424)Time elapsed: 2.510 s
% 22.63/3.20  % (2424)Instructions burned: 920 (million)
% 22.63/3.20  % (2424)------------------------------
% 22.63/3.20  % (2424)------------------------------
% 22.63/3.20  % (2463)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 (2973ds/33239Mi)
% 22.83/3.23  TRYING [1]
% 22.83/3.24  TRYING [2]
% 22.83/3.29  TRYING [3]
% 22.83/3.30  TRYING [6]
% 24.82/3.48  % (2464)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/20987Mi)
% 24.82/3.52  TRYING [4]
% 24.82/3.53  TRYING [1]
% 24.82/3.53  TRYING [2]
% 25.64/3.59  TRYING [3]
% 26.93/3.75  TRYING [5]
% 26.93/3.81  TRYING [4]
% 30.57/4.27  TRYING [5]
% 33.52/4.59  TRYING [5]
% 33.84/4.61  % (2439)Instruction limit reached!
% 33.84/4.61  % (2439)------------------------------
% 33.84/4.61  % (2439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.84/4.61  % (2439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.84/4.61  % (2439)Termination reason: Unknown
% 33.84/4.61  % (2439)Termination phase: Saturation
% 33.84/4.61  
% 33.84/4.61  % (2439)Memory used [KB]: 3709
% 33.84/4.61  % (2439)Time elapsed: 3.713 s
% 33.84/4.61  % (2439)Instructions burned: 1825 (million)
% 33.84/4.61  % (2439)------------------------------
% 33.84/4.61  % (2439)------------------------------
% 35.82/4.86  % (2465)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 (2957ds/49917Mi)
% 36.37/4.92  TRYING [1]
% 36.37/4.93  TRYING [2]
% 36.66/4.98  TRYING [3]
% 38.28/5.21  % (2450)Instruction limit reached!
% 38.28/5.21  % (2450)------------------------------
% 38.28/5.21  % (2450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.28/5.21  % (2450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.28/5.21  % (2450)Termination reason: Unknown
% 38.28/5.21  % (2450)Termination phase: Saturation
% 38.28/5.21  
% 38.28/5.21  % (2450)Memory used [KB]: 3709
% 38.28/5.21  % (2450)Time elapsed: 3.756 s
% 38.28/5.21  % (2450)Instructions burned: 1825 (million)
% 38.28/5.21  % (2450)------------------------------
% 38.28/5.21  % (2450)------------------------------
% 38.77/5.24  TRYING [4]
% 40.59/5.46  % (2466)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/19144Mi)
% 40.78/5.50  % (2432)Instruction limit reached!
% 40.78/5.50  % (2432)------------------------------
% 40.78/5.50  % (2432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.78/5.50  % (2432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.78/5.50  % (2432)Termination reason: Unknown
% 40.78/5.50  % (2432)Termination phase: Saturation
% 40.78/5.50  
% 40.78/5.50  % (2432)Memory used [KB]: 20468
% 40.78/5.50  % (2432)Time elapsed: 4.794 s
% 40.78/5.50  % (2432)Instructions burned: 2017 (million)
% 40.78/5.50  % (2432)------------------------------
% 40.78/5.50  % (2432)------------------------------
% 42.81/5.76  % (2467)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 (2948ds/27492Mi)
% 43.70/5.90  % (2444)Instruction limit reached!
% 43.70/5.90  % (2444)------------------------------
% 43.70/5.90  % (2444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.70/5.90  % (2444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.70/5.90  % (2444)Termination reason: Unknown
% 43.70/5.90  % (2444)Termination phase: Saturation
% 43.70/5.90  
% 43.70/5.90  % (2444)Memory used [KB]: 20980
% 43.70/5.90  % (2444)Time elapsed: 4.889 s
% 43.70/5.90  % (2444)Instructions burned: 2016 (million)
% 43.70/5.90  % (2444)------------------------------
% 43.70/5.90  % (2444)------------------------------
% 44.19/5.96  TRYING [6]
% 44.70/6.03  TRYING [5]
% 45.47/6.10  % (2468)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/6101Mi)
% 47.21/6.35  % (2440)Instruction limit reached!
% 47.21/6.35  % (2440)------------------------------
% 47.21/6.35  % (2440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.21/6.35  % (2440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.21/6.35  % (2440)Termination reason: Unknown
% 47.21/6.35  % (2440)Termination phase: Saturation
% 47.21/6.35  
% 47.21/6.35  % (2440)Memory used [KB]: 31342
% 47.21/6.35  % (2440)Time elapsed: 5.276 s
% 47.21/6.35  % (2440)Instructions burned: 2134 (million)
% 47.21/6.35  % (2440)------------------------------
% 47.21/6.35  % (2440)------------------------------
% 48.43/6.50  TRYING [6]
% 49.70/6.63  % (2469)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 (2939ds/90Mi)
% 50.58/6.75  TRYING [6]
% 51.37/6.84  % (2469)Instruction limit reached!
% 51.37/6.84  % (2469)------------------------------
% 51.37/6.84  % (2469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.37/6.85  % (2469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.37/6.85  % (2469)Termination reason: Unknown
% 51.37/6.85  % (2469)Termination phase: Saturation
% 51.37/6.85  
% 51.37/6.85  % (2469)Memory used [KB]: 6652
% 51.37/6.85  % (2469)Time elapsed: 0.424 s
% 51.37/6.85  % (2469)Instructions burned: 90 (million)
% 51.37/6.85  % (2469)------------------------------
% 51.37/6.85  % (2469)------------------------------
% 53.59/7.10  % (2470)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 (2934ds/91600Mi)
% 59.39/7.85  TRYING [7]
% 61.50/8.17  TRYING [6]
% 69.19/9.08  % (2434)Instruction limit reached!
% 69.19/9.08  % (2434)------------------------------
% 69.19/9.08  % (2434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 69.19/9.08  % (2434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 69.19/9.08  % (2434)Termination reason: Unknown
% 69.19/9.08  % (2434)Termination phase: Saturation
% 69.19/9.08  
% 69.19/9.08  % (2434)Memory used [KB]: 5884
% 69.19/9.08  % (2434)Time elapsed: 8.288 s
% 69.19/9.08  % (2434)Instructions burned: 4959 (million)
% 69.19/9.08  % (2434)------------------------------
% 69.19/9.08  % (2434)------------------------------
% 71.00/9.32  % (2471)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 (2912ds/7127Mi)
% 74.09/9.69  % (2433)Instruction limit reached!
% 74.09/9.69  % (2433)------------------------------
% 74.09/9.69  % (2433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 74.09/9.69  % (2433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 74.09/9.69  % (2433)Termination reason: Unknown
% 74.09/9.69  % (2433)Termination phase: Saturation
% 74.09/9.69  
% 74.09/9.69  % (2433)Memory used [KB]: 48997
% 74.09/9.69  % (2433)Time elapsed: 8.973 s
% 74.09/9.69  % (2433)Instructions burned: 3735 (million)
% 74.09/9.69  % (2433)------------------------------
% 74.09/9.69  % (2433)------------------------------
% 74.63/9.74  % (2441)Instruction limit reached!
% 74.63/9.74  % (2441)------------------------------
% 74.63/9.74  % (2441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 74.63/9.74  % (2441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 74.63/9.74  % (2441)Termination reason: Unknown
% 74.63/9.74  % (2441)Termination phase: Saturation
% 74.63/9.74  
% 74.63/9.74  % (2441)Memory used [KB]: 26609
% 74.63/9.74  % (2441)Time elapsed: 8.708 s
% 74.63/9.74  % (2441)Instructions burned: 2892 (million)
% 74.63/9.74  % (2441)------------------------------
% 74.63/9.74  % (2441)------------------------------
% 75.72/9.90  % (2472)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 (2906ds/35256Mi)
% 76.39/9.99  % (2473)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 (2905ds/32293Mi)
% 77.84/10.18  % (2455)Instruction limit reached!
% 77.84/10.18  % (2455)------------------------------
% 77.84/10.18  % (2455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 77.84/10.18  % (2455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 77.84/10.18  % (2455)Termination reason: Unknown
% 77.84/10.18  % (2455)Termination phase: Saturation
% 77.84/10.18  
% 77.84/10.18  % (2455)Memory used [KB]: 6396
% 77.84/10.18  % (2455)Time elapsed: 8.345 s
% 77.84/10.18  % (2455)Instructions burned: 4959 (million)
% 77.84/10.18  % (2455)------------------------------
% 77.84/10.18  % (2455)------------------------------
% 80.16/10.45  % (2474)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 (2901ds/29337Mi)
% 88.77/11.51  TRYING [7]
% 88.77/11.55  TRYING [7]
% 94.56/12.25  TRYING [7]
% 94.56/12.28  % (2442)Instruction limit reached!
% 94.56/12.28  % (2442)------------------------------
% 94.56/12.28  % (2442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 94.56/12.28  % (2442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 94.56/12.28  % (2442)Termination reason: Unknown
% 94.56/12.28  % (2442)Termination phase: Saturation
% 94.56/12.28  
% 94.56/12.28  % (2442)Memory used [KB]: 64092
% 94.56/12.28  % (2442)Time elapsed: 11.310 s
% 94.56/12.28  % (2442)Instructions burned: 4585 (million)
% 94.56/12.28  % (2442)------------------------------
% 94.56/12.28  % (2442)------------------------------
% 97.07/12.59  % (2478)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=99860:si=on:rawr=on:rtra=on_0 on theBenchmark for (2880ds/99860Mi)
% 97.46/12.62  TRYING [1]
% 97.46/12.62  TRYING [2]
% 97.90/12.68  TRYING [3]
% 99.33/12.89  TRYING [4]
% 100.29/12.97  % (2435)Instruction limit reached!
% 100.29/12.97  % (2435)------------------------------
% 100.29/12.97  % (2435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 100.29/12.98  % (2435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 100.29/12.98  % (2435)Termination reason: Unknown
% 100.29/12.98  % (2435)Termination phase: Saturation
% 100.29/12.98  
% 100.29/12.98  % (2435)Memory used [KB]: 66011
% 100.29/12.98  % (2435)Time elapsed: 12.242 s
% 100.29/12.98  % (2435)Instructions burned: 4961 (million)
% 100.29/12.98  % (2435)------------------------------
% 100.29/12.98  % (2435)------------------------------
% 100.29/13.05  TRYING [7]
% 101.83/13.15  % (2544)fmb+10_1:1_fmbas=expand:i=96985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2873ds/96985Mi)
% 101.83/13.17  TRYING [1]
% 101.83/13.17  TRYING [2]
% 101.83/13.19  TRYING [3]
% 102.28/13.24  % (2436)Instruction limit reached!
% 102.28/13.24  % (2436)------------------------------
% 102.28/13.24  % (2436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 102.28/13.24  % (2436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 102.28/13.24  % (2436)Termination reason: Unknown
% 102.28/13.24  % (2436)Termination phase: Saturation
% 102.28/13.24  
% 102.28/13.24  % (2436)Memory used [KB]: 53218
% 102.28/13.24  % (2436)Time elapsed: 12.429 s
% 102.28/13.24  % (2436)Instructions burned: 4757 (million)
% 102.28/13.24  % (2436)------------------------------
% 102.28/13.24  % (2436)------------------------------
% 102.65/13.34  TRYING [4]
% 103.33/13.35  TRYING [5]
% 103.60/13.42  % (2658)fmb+10_1:1_bce=on:dr=on:fmbsr=1.47:gsp=on:nm=2:skr=on:i=99648:si=on:rawr=on:rtra=on_0 on theBenchmark for (2870ds/99648Mi)
% 104.02/13.45  TRYING [1]
% 104.13/13.47  TRYING [2]
% 104.13/13.48  TRYING [3]
% 105.63/13.64  TRYING [4]
% 106.06/13.72  % (2437)Instruction limit reached!
% 106.06/13.72  % (2437)------------------------------
% 106.06/13.72  % (2437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 106.06/13.72  % (2437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 106.06/13.72  % (2437)Termination reason: Unknown
% 106.06/13.72  % (2437)Termination phase: Saturation
% 106.06/13.72  
% 106.06/13.72  % (2437)Memory used [KB]: 75478
% 106.06/13.72  % (2437)Time elapsed: 12.915 s
% 106.06/13.72  % (2437)Instructions burned: 4931 (million)
% 106.06/13.72  % (2437)------------------------------
% 106.06/13.72  % (2437)------------------------------
% 107.08/13.82  TRYING [5]
% 107.33/13.89  % (2713)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=99882:si=on:rawr=on:rtra=on_0 on theBenchmark for (2865ds/99882Mi)
% 107.33/13.93  TRYING [1]
% 107.33/13.93  TRYING [2]
% 108.02/13.94  TRYING [3]
% 108.97/14.08  TRYING [4]
% 108.97/14.08  TRYING [5]
% 112.81/14.54  TRYING [5]
% 114.18/14.75  TRYING [6]
% 118.58/15.35  TRYING [6]
% 120.49/15.52  TRYING [6]
% 122.90/15.82  TRYING [6]
% 124.52/16.04  % (2446)First to succeed.
% 124.97/16.13  % (2446)Refutation found. Thanks to Tanya!
% 124.97/16.13  % SZS status Unsatisfiable for theBenchmark
% 124.97/16.13  % SZS output start Proof for theBenchmark
% See solution above
% 125.74/16.16  % (2446)------------------------------
% 125.74/16.16  % (2446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 125.74/16.16  % (2446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 125.74/16.16  % (2446)Termination reason: Refutation
% 125.74/16.16  
% 125.74/16.16  % (2446)Memory used [KB]: 8059
% 125.74/16.16  % (2446)Time elapsed: 14.862 s
% 125.74/16.16  % (2446)Instructions burned: 9346 (million)
% 125.74/16.16  % (2446)------------------------------
% 125.74/16.16  % (2446)------------------------------
% 125.74/16.16  % (2390)Success in time 15.801 s
%------------------------------------------------------------------------------