TSTP Solution File: SET773+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n011.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 18:25:36 EDT 2022

% Result   : Theorem 23.27s 3.36s
% Output   : Refutation 23.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  166
% Syntax   : Number of formulae    :  878 (   7 unt;   0 def)
%            Number of atoms       : 5089 (   0 equ)
%            Maximal formula atoms :   13 (   5 avg)
%            Number of connectives : 6581 (2370   ~;3986   |;  36   &)
%                                         ( 173 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :  168 ( 167 usr; 165 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :  729 ( 721   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4172,plain,
    $false,
    inference(avatar_smt_refutation,[],[f133,f138,f143,f439,f440,f445,f454,f455,f467,f472,f569,f599,f608,f613,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f639,f644,f645,f646,f647,f648,f649,f650,f664,f669,f683,f688,f691,f703,f708,f711,f729,f734,f744,f750,f762,f776,f803,f829,f839,f850,f902,f953,f1016,f1066,f1103,f1107,f1111,f1159,f1164,f1176,f1180,f1182,f1190,f1200,f1201,f1224,f1228,f1236,f1260,f1261,f1262,f1263,f1264,f1265,f1325,f1326,f1337,f1346,f1347,f1349,f1364,f1377,f1407,f1411,f1421,f1429,f1436,f1445,f1458,f1477,f1484,f1492,f1519,f1585,f1593,f1598,f1602,f1616,f1620,f1624,f1633,f1637,f1651,f1655,f1659,f1671,f1675,f1690,f1698,f1702,f1707,f1720,f1724,f1736,f1755,f1790,f1807,f1818,f1851,f1855,f1875,f1879,f1893,f1894,f1898,f1918,f1922,f1942,f1946,f1966,f1970,f1972,f1992,f1996,f2016,f2020,f2048,f2052,f2072,f2076,f2096,f2100,f2136,f2140,f2164,f2168,f2203,f2217,f2247,f2307,f2311,f2312,f2313,f2321,f2358,f2376,f2381,f2411,f2412,f2413,f2414,f2423,f2424,f2425,f2426,f2432,f2447,f2451,f2455,f2459,f2466,f2474,f2485,f2492,f2496,f2509,f2513,f2519,f2529,f2533,f2537,f2662,f2753,f2754,f2764,f2765,f2766,f2767,f2768,f2950,f2954,f3109,f3110,f3111,f3379,f3380,f3381,f3382,f3383,f3384,f3388,f3389,f3393,f3394,f3395,f3396,f3397,f3398,f3399,f3407,f3408,f3430,f3431,f3453,f3466,f3478,f3482,f3494,f3519,f3527,f3531,f3535,f3539,f3540,f3544,f3548,f3554,f3578,f3725,f3739,f3743,f4148,f4152,f4167,f4168,f4169,f4170,f4171]) ).

fof(f4171,plain,
    ( ~ spl13_15
    | spl13_3
    | ~ spl13_12
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f4159,f1221,f566,f140,f605]) ).

fof(f605,plain,
    ( spl13_15
  <=> apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).

fof(f140,plain,
    ( spl13_3
  <=> equivalence(sK8,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f566,plain,
    ( spl13_12
  <=> apply(sK8,sK4(sK11,sK8),sK4(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).

fof(f1221,plain,
    ( spl13_52
  <=> apply(sK8,sK7(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_52])]) ).

fof(f4159,plain,
    ( ~ apply(sK8,sK4(sK11,sK8),sK4(sK11,sK8))
    | equivalence(sK8,sK11)
    | ~ apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK7(X0,X1),sK5(X0,X1))
      | equivalence(X1,X0)
      | ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | ~ apply(X1,sK3(X0,X1),sK2(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
    <=> ( ! [X2,X4,X3] :
            ( ~ member(X2,X0)
            | ~ member(X3,X0)
            | ~ member(X4,X0)
            | apply(X1,X3,X2)
            | ~ apply(X1,X4,X2)
            | ~ apply(X1,X3,X4) )
        & ! [X7] :
            ( apply(X1,X7,X7)
            | ~ member(X7,X0) )
        & ! [X5,X6] :
            ( ~ member(X6,X0)
            | ~ apply(X1,X5,X6)
            | apply(X1,X6,X5)
            | ~ member(X5,X0) ) ) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( ! [X7] :
            ( apply(X1,X7,X7)
            | ~ member(X7,X0) )
        & ! [X4,X3,X2] :
            ( apply(X1,X3,X2)
            | ~ apply(X1,X4,X2)
            | ~ apply(X1,X3,X4)
            | ~ member(X3,X0)
            | ~ member(X4,X0)
            | ~ member(X2,X0) )
        & ! [X6,X5] :
            ( apply(X1,X6,X5)
            | ~ apply(X1,X5,X6)
            | ~ member(X6,X0)
            | ~ member(X5,X0) ) )
    <=> equivalence(X1,X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( ! [X7] :
            ( member(X7,X0)
           => apply(X1,X7,X7) )
        & ! [X4,X3,X2] :
            ( ( member(X3,X0)
              & member(X4,X0)
              & member(X2,X0) )
           => ( ( apply(X1,X4,X2)
                & apply(X1,X3,X4) )
             => apply(X1,X3,X2) ) )
        & ! [X6,X5] :
            ( ( member(X6,X0)
              & member(X5,X0) )
           => ( apply(X1,X5,X6)
             => apply(X1,X6,X5) ) ) )
    <=> equivalence(X1,X0) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X6] :
      ( equivalence(X6,X0)
    <=> ( ! [X5,X2,X4] :
            ( ( member(X2,X0)
              & member(X4,X0)
              & member(X5,X0) )
           => ( ( apply(X6,X4,X5)
                & apply(X6,X2,X4) )
             => apply(X6,X2,X5) ) )
        & ! [X2,X4] :
            ( ( member(X2,X0)
              & member(X4,X0) )
           => ( apply(X6,X2,X4)
             => apply(X6,X4,X2) ) )
        & ! [X2] :
            ( member(X2,X0)
           => apply(X6,X2,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).

fof(f1223,plain,
    ( apply(sK8,sK7(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_52 ),
    inference(avatar_component_clause,[],[f1221]) ).

fof(f4170,plain,
    ( spl13_3
    | ~ spl13_12
    | spl13_7
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f4161,f1221,f432,f566,f140]) ).

fof(f432,plain,
    ( spl13_7
  <=> apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

fof(f4161,plain,
    ( apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ apply(sK8,sK4(sK11,sK8),sK4(sK11,sK8))
    | equivalence(sK8,sK11)
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK7(X0,X1),sK5(X0,X1))
      | equivalence(X1,X0)
      | ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | apply(X1,sK2(X0,X1),sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f4169,plain,
    ( ~ spl13_12
    | spl13_8
    | spl13_3
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f4157,f1221,f140,f436,f566]) ).

fof(f436,plain,
    ( spl13_8
  <=> member(sK2(sK11,sK8),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).

fof(f4157,plain,
    ( equivalence(sK8,sK11)
    | member(sK2(sK11,sK8),sK11)
    | ~ apply(sK8,sK4(sK11,sK8),sK4(sK11,sK8))
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK7(X0,X1),sK5(X0,X1))
      | member(sK2(X0,X1),X0)
      | equivalence(X1,X0)
      | ~ apply(X1,sK4(X0,X1),sK4(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f4168,plain,
    ( spl13_5
    | spl13_7
    | spl13_3
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f4162,f1221,f140,f432,f424]) ).

fof(f424,plain,
    ( spl13_5
  <=> member(sK4(sK11,sK8),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f4162,plain,
    ( equivalence(sK8,sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK7(X0,X1),sK5(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK2(X0,X1),sK3(X0,X1))
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f4167,plain,
    ( spl13_5
    | spl13_3
    | spl13_8
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f4158,f1221,f436,f140,f424]) ).

fof(f4158,plain,
    ( member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK7(X0,X1),sK5(X0,X1))
      | member(sK4(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f4152,plain,
    ( spl13_3
    | spl13_5
    | ~ spl13_17
    | spl13_8
    | spl13_164
    | ~ spl13_2
    | ~ spl13_47 ),
    inference(avatar_split_clause,[],[f4144,f1170,f135,f4150,f436,f615,f424,f140]) ).

fof(f615,plain,
    ( spl13_17
  <=> member(sK7(sK11,sK8),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).

fof(f4150,plain,
    ( spl13_164
  <=> ! [X2] :
        ( apply(sK9,sK6(sK11,X2),sK5(sK11,sK8))
        | ~ apply(sK9,sK6(sK11,X2),sK7(sK11,sK8))
        | equivalence(X2,sK11)
        | member(sK3(sK11,X2),sK11)
        | member(sK4(sK11,X2),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_164])]) ).

fof(f135,plain,
    ( spl13_2
  <=> equivalence(sK9,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f1170,plain,
    ( spl13_47
  <=> apply(sK9,sK7(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).

fof(f4144,plain,
    ( ! [X2] :
        ( apply(sK9,sK6(sK11,X2),sK5(sK11,sK8))
        | member(sK4(sK11,X2),sK11)
        | member(sK3(sK11,X2),sK11)
        | member(sK2(sK11,sK8),sK11)
        | equivalence(X2,sK11)
        | ~ apply(sK9,sK6(sK11,X2),sK7(sK11,sK8))
        | ~ member(sK7(sK11,sK8),sK11)
        | member(sK4(sK11,sK8),sK11)
        | equivalence(sK8,sK11) )
    | ~ spl13_2
    | ~ spl13_47 ),
    inference(resolution,[],[f1172,f1029]) ).

fof(f1029,plain,
    ( ! [X10,X8,X9] :
        ( ~ apply(sK9,X8,sK5(sK11,X9))
        | ~ member(X8,sK11)
        | member(sK4(sK11,X9),sK11)
        | apply(sK9,sK6(sK11,X10),sK5(sK11,X9))
        | member(sK3(sK11,X10),sK11)
        | member(sK2(sK11,X9),sK11)
        | equivalence(X9,sK11)
        | equivalence(X10,sK11)
        | ~ apply(sK9,sK6(sK11,X10),X8)
        | member(sK4(sK11,X10),sK11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f292,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X0)
      | member(sK4(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f292,plain,
    ( ! [X8,X6,X7] :
        ( ~ member(X7,sK11)
        | ~ apply(sK9,X8,X7)
        | apply(sK9,sK6(sK11,X6),X7)
        | member(sK3(sK11,X6),sK11)
        | member(sK4(sK11,X6),sK11)
        | ~ member(X8,sK11)
        | equivalence(X6,sK11)
        | ~ apply(sK9,sK6(sK11,X6),X8) )
    | ~ spl13_2 ),
    inference(resolution,[],[f283,f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( member(sK6(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK4(X0,X1),X0)
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f283,plain,
    ( ! [X3,X4,X5] :
        ( ~ member(X3,sK11)
        | apply(sK9,X3,X5)
        | ~ apply(sK9,X4,X5)
        | ~ member(X4,sK11)
        | ~ member(X5,sK11)
        | ~ apply(sK9,X3,X4) )
    | ~ spl13_2 ),
    inference(resolution,[],[f49,f137]) ).

fof(f137,plain,
    ( equivalence(sK9,sK11)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f49,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equivalence(X1,X0)
      | ~ member(X3,X0)
      | ~ apply(X1,X4,X2)
      | ~ member(X4,X0)
      | ~ apply(X1,X3,X4)
      | apply(X1,X3,X2)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f1172,plain,
    ( apply(sK9,sK7(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_47 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f4148,plain,
    ( spl13_3
    | spl13_5
    | spl13_50
    | ~ spl13_14
    | spl13_8
    | ~ spl13_2
    | ~ spl13_47 ),
    inference(avatar_split_clause,[],[f4142,f1170,f135,f436,f601,f1188,f424,f140]) ).

fof(f1188,plain,
    ( spl13_50
  <=> ! [X1] :
        ( ~ apply(sK9,sK5(sK11,sK8),X1)
        | apply(sK9,sK7(sK11,sK8),X1)
        | ~ member(X1,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_50])]) ).

fof(f601,plain,
    ( spl13_14
  <=> member(sK5(sK11,sK8),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).

fof(f4142,plain,
    ( ! [X0] :
        ( member(sK2(sK11,sK8),sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | ~ member(X0,sK11)
        | ~ apply(sK9,sK5(sK11,sK8),X0)
        | member(sK4(sK11,sK8),sK11)
        | apply(sK9,sK7(sK11,sK8),X0)
        | equivalence(sK8,sK11) )
    | ~ spl13_2
    | ~ spl13_47 ),
    inference(resolution,[],[f1172,f295]) ).

fof(f295,plain,
    ( ! [X16,X17,X15] :
        ( ~ apply(sK9,sK7(sK11,X15),X17)
        | ~ apply(sK9,X17,X16)
        | apply(sK9,sK7(sK11,X15),X16)
        | member(sK4(sK11,X15),sK11)
        | member(sK2(sK11,X15),sK11)
        | equivalence(X15,sK11)
        | ~ member(X17,sK11)
        | ~ member(X16,sK11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f283,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( member(sK7(X0,X1),X0)
      | member(sK4(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f3743,plain,
    ( spl13_5
    | ~ spl13_14
    | spl13_3
    | spl13_8
    | spl13_163
    | ~ spl13_1
    | ~ spl13_51 ),
    inference(avatar_split_clause,[],[f3726,f1197,f130,f3741,f436,f140,f601,f424]) ).

fof(f3741,plain,
    ( spl13_163
  <=> ! [X0] :
        ( member(sK4(sK11,X0),sK11)
        | equivalence(X0,sK11)
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11)
        | apply(sK10,sK7(sK11,sK8),sK6(sK11,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_163])]) ).

fof(f130,plain,
    ( spl13_1
  <=> equivalence(sK10,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f1197,plain,
    ( spl13_51
  <=> apply(sK10,sK7(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).

fof(f3726,plain,
    ( ! [X0] :
        ( member(sK4(sK11,X0),sK11)
        | member(sK2(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | apply(sK10,sK7(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11)
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | member(sK4(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_51 ),
    inference(resolution,[],[f1199,f994]) ).

fof(f994,plain,
    ( ! [X28,X26,X27] :
        ( ~ apply(sK10,sK7(sK11,X26),X27)
        | member(sK4(sK11,X28),sK11)
        | member(sK4(sK11,X26),sK11)
        | member(sK2(sK11,X26),sK11)
        | equivalence(X26,sK11)
        | ~ member(X27,sK11)
        | apply(sK10,sK7(sK11,X26),sK6(sK11,X28))
        | equivalence(X28,sK11)
        | member(sK2(sK11,X28),sK11)
        | ~ apply(sK10,X27,sK6(sK11,X28)) )
    | ~ spl13_1 ),
    inference(resolution,[],[f287,f60]) ).

fof(f287,plain,
    ( ! [X10,X11,X9] :
        ( ~ member(X11,sK11)
        | ~ apply(sK10,X11,X9)
        | ~ member(X9,sK11)
        | equivalence(X10,sK11)
        | member(sK4(sK11,X10),sK11)
        | apply(sK10,X11,sK6(sK11,X10))
        | ~ apply(sK10,X9,sK6(sK11,X10))
        | member(sK2(sK11,X10),sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f282,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( member(sK6(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK4(X0,X1),X0)
      | member(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f282,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,sK11)
        | ~ apply(sK10,X1,X2)
        | ~ member(X1,sK11)
        | apply(sK10,X0,X2)
        | ~ member(X0,sK11)
        | ~ apply(sK10,X0,X1) )
    | ~ spl13_1 ),
    inference(resolution,[],[f49,f132]) ).

fof(f132,plain,
    ( equivalence(sK10,sK11)
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f1199,plain,
    ( apply(sK10,sK7(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_51 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f3739,plain,
    ( ~ spl13_14
    | spl13_5
    | spl13_8
    | spl13_3
    | spl13_162
    | ~ spl13_1
    | ~ spl13_51 ),
    inference(avatar_split_clause,[],[f3728,f1197,f130,f3737,f140,f436,f424,f601]) ).

fof(f3737,plain,
    ( spl13_162
  <=> ! [X2] :
        ( member(sK4(sK11,X2),sK11)
        | equivalence(X2,sK11)
        | member(sK3(sK11,X2),sK11)
        | apply(sK10,sK7(sK11,sK8),sK6(sK11,X2))
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_162])]) ).

fof(f3728,plain,
    ( ! [X2] :
        ( member(sK4(sK11,X2),sK11)
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X2))
        | apply(sK10,sK7(sK11,sK8),sK6(sK11,X2))
        | member(sK3(sK11,X2),sK11)
        | equivalence(sK8,sK11)
        | member(sK2(sK11,sK8),sK11)
        | equivalence(X2,sK11)
        | member(sK4(sK11,sK8),sK11)
        | ~ member(sK5(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_51 ),
    inference(resolution,[],[f1199,f980]) ).

fof(f980,plain,
    ( ! [X28,X26,X27] :
        ( ~ apply(sK10,sK7(sK11,X26),X28)
        | member(sK2(sK11,X26),sK11)
        | member(sK4(sK11,X26),sK11)
        | member(sK3(sK11,X27),sK11)
        | equivalence(X27,sK11)
        | ~ member(X28,sK11)
        | equivalence(X26,sK11)
        | ~ apply(sK10,X28,sK6(sK11,X27))
        | apply(sK10,sK7(sK11,X26),sK6(sK11,X27))
        | member(sK4(sK11,X27),sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f286,f60]) ).

fof(f286,plain,
    ( ! [X8,X6,X7] :
        ( ~ member(X8,sK11)
        | apply(sK10,X8,sK6(sK11,X7))
        | ~ apply(sK10,X8,X6)
        | equivalence(X7,sK11)
        | member(sK3(sK11,X7),sK11)
        | ~ apply(sK10,X6,sK6(sK11,X7))
        | ~ member(X6,sK11)
        | member(sK4(sK11,X7),sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f282,f95]) ).

fof(f3725,plain,
    ( spl13_8
    | spl13_3
    | ~ spl13_14
    | spl13_5
    | spl13_161
    | ~ spl13_2
    | ~ spl13_46 ),
    inference(avatar_split_clause,[],[f3718,f1161,f135,f3723,f424,f601,f140,f436]) ).

fof(f3723,plain,
    ( spl13_161
  <=> ! [X2] :
        ( member(sK3(sK11,X2),sK11)
        | apply(sK9,sK6(sK11,X2),sK7(sK11,sK8))
        | member(sK4(sK11,X2),sK11)
        | ~ apply(sK9,sK6(sK11,X2),sK5(sK11,sK8))
        | equivalence(X2,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_161])]) ).

fof(f1161,plain,
    ( spl13_46
  <=> apply(sK9,sK5(sK11,sK8),sK7(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_46])]) ).

fof(f3718,plain,
    ( ! [X2] :
        ( member(sK3(sK11,X2),sK11)
        | member(sK4(sK11,sK8),sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | equivalence(X2,sK11)
        | ~ apply(sK9,sK6(sK11,X2),sK5(sK11,sK8))
        | equivalence(sK8,sK11)
        | member(sK2(sK11,sK8),sK11)
        | member(sK4(sK11,X2),sK11)
        | apply(sK9,sK6(sK11,X2),sK7(sK11,sK8)) )
    | ~ spl13_2
    | ~ spl13_46 ),
    inference(resolution,[],[f1163,f1036]) ).

fof(f1036,plain,
    ( ! [X28,X26,X27] :
        ( ~ apply(sK9,X26,sK7(sK11,X27))
        | equivalence(X28,sK11)
        | member(sK4(sK11,X27),sK11)
        | apply(sK9,sK6(sK11,X28),sK7(sK11,X27))
        | member(sK3(sK11,X28),sK11)
        | equivalence(X27,sK11)
        | ~ member(X26,sK11)
        | member(sK4(sK11,X28),sK11)
        | ~ apply(sK9,sK6(sK11,X28),X26)
        | member(sK2(sK11,X27),sK11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f292,f60]) ).

fof(f1163,plain,
    ( apply(sK9,sK5(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_46 ),
    inference(avatar_component_clause,[],[f1161]) ).

fof(f3578,plain,
    ( spl13_5
    | spl13_3
    | spl13_8
    | spl13_16 ),
    inference(avatar_split_clause,[],[f3577,f610,f436,f140,f424]) ).

fof(f610,plain,
    ( spl13_16
  <=> apply(sK8,sK7(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).

fof(f3577,plain,
    ( member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | spl13_16 ),
    inference(resolution,[],[f611,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( apply(X1,sK7(X0,X1),sK6(X0,X1))
      | member(sK2(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f611,plain,
    ( ~ apply(sK8,sK7(sK11,sK8),sK6(sK11,sK8))
    | spl13_16 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f3554,plain,
    ( spl13_3
    | spl13_8
    | spl13_5
    | spl13_13 ),
    inference(avatar_split_clause,[],[f3553,f596,f424,f436,f140]) ).

fof(f596,plain,
    ( spl13_13
  <=> apply(sK8,sK6(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).

fof(f3553,plain,
    ( member(sK4(sK11,sK8),sK11)
    | member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | spl13_13 ),
    inference(resolution,[],[f597,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( apply(X1,sK6(X0,X1),sK5(X0,X1))
      | member(sK4(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f597,plain,
    ( ~ apply(sK8,sK6(sK11,sK8),sK5(sK11,sK8))
    | spl13_13 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f3548,plain,
    ( ~ spl13_17
    | spl13_160
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f3508,f1064,f135,f3546,f615]) ).

fof(f3546,plain,
    ( spl13_160
  <=> ! [X18,X17] :
        ( equivalence(X18,sK11)
        | member(sK4(sK11,X17),sK11)
        | apply(sK9,sK6(sK11,X18),sK7(sK11,X17))
        | member(sK4(sK11,X18),sK11)
        | ~ apply(sK9,sK6(sK11,X18),sK7(sK11,sK8))
        | ~ member(sK7(sK11,X17),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK7(sK11,X17))
        | equivalence(X17,sK11)
        | member(sK3(sK11,X17),sK11)
        | member(sK3(sK11,X18),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_160])]) ).

fof(f1064,plain,
    ( spl13_41
  <=> ! [X7] :
        ( ~ apply(sK9,sK6(sK11,sK8),X7)
        | ~ member(X7,sK11)
        | apply(sK9,sK7(sK11,sK8),X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).

fof(f3508,plain,
    ( ! [X18,X17] :
        ( equivalence(X18,sK11)
        | member(sK3(sK11,X18),sK11)
        | ~ member(sK7(sK11,X17),sK11)
        | member(sK3(sK11,X17),sK11)
        | equivalence(X17,sK11)
        | ~ apply(sK9,sK6(sK11,X18),sK7(sK11,sK8))
        | member(sK4(sK11,X18),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK7(sK11,X17))
        | apply(sK9,sK6(sK11,X18),sK7(sK11,X17))
        | member(sK4(sK11,X17),sK11)
        | ~ member(sK7(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f1035]) ).

fof(f1035,plain,
    ( ! [X24,X25,X23] :
        ( ~ apply(sK9,X23,sK7(sK11,X24))
        | ~ apply(sK9,sK6(sK11,X25),X23)
        | member(sK3(sK11,X24),sK11)
        | equivalence(X25,sK11)
        | apply(sK9,sK6(sK11,X25),sK7(sK11,X24))
        | ~ member(X23,sK11)
        | member(sK4(sK11,X25),sK11)
        | member(sK3(sK11,X25),sK11)
        | member(sK4(sK11,X24),sK11)
        | equivalence(X24,sK11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f292,f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( member(sK7(X0,X1),X0)
      | member(sK4(X0,X1),X0)
      | member(sK3(X0,X1),X0)
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f1065,plain,
    ( ! [X7] :
        ( apply(sK9,sK7(sK11,sK8),X7)
        | ~ member(X7,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),X7) )
    | ~ spl13_41 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f3544,plain,
    ( ~ spl13_17
    | spl13_159
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f3501,f1064,f135,f3542,f615]) ).

fof(f3542,plain,
    ( spl13_159
  <=> ! [X6,X5] :
        ( member(sK4(sK11,X5),sK11)
        | member(sK2(sK11,X5),sK11)
        | ~ member(sK5(sK11,X5),sK11)
        | member(sK3(sK11,X6),sK11)
        | apply(sK9,sK6(sK11,X6),sK5(sK11,X5))
        | member(sK4(sK11,X6),sK11)
        | ~ apply(sK9,sK6(sK11,X6),sK7(sK11,sK8))
        | equivalence(X6,sK11)
        | equivalence(X5,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK5(sK11,X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_159])]) ).

fof(f3501,plain,
    ( ! [X6,X5] :
        ( member(sK4(sK11,X5),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK5(sK11,X5))
        | equivalence(X5,sK11)
        | ~ member(sK7(sK11,sK8),sK11)
        | member(sK3(sK11,X6),sK11)
        | ~ member(sK5(sK11,X5),sK11)
        | member(sK2(sK11,X5),sK11)
        | equivalence(X6,sK11)
        | ~ apply(sK9,sK6(sK11,X6),sK7(sK11,sK8))
        | member(sK4(sK11,X6),sK11)
        | apply(sK9,sK6(sK11,X6),sK5(sK11,X5)) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f1029]) ).

fof(f3540,plain,
    ( spl13_3
    | spl13_42
    | spl13_5
    | spl13_8
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f3514,f1064,f135,f436,f424,f1101,f140]) ).

fof(f1101,plain,
    ( spl13_42
  <=> ! [X2,X3] :
        ( ~ member(X3,sK11)
        | apply(sK9,sK7(sK11,sK8),X3)
        | ~ apply(sK9,sK6(sK11,sK8),X2)
        | ~ member(X2,sK11)
        | ~ apply(sK9,X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).

fof(f3514,plain,
    ( ! [X0,X1] :
        ( member(sK2(sK11,sK8),sK11)
        | member(sK4(sK11,sK8),sK11)
        | apply(sK9,sK7(sK11,sK8),X1)
        | ~ apply(sK9,X0,X1)
        | ~ apply(sK9,sK6(sK11,sK8),X0)
        | ~ member(X1,sK11)
        | equivalence(sK8,sK11)
        | ~ member(X0,sK11) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(duplicate_literal_removal,[],[f3495]) ).

fof(f3495,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,sK11)
        | member(sK4(sK11,sK8),sK11)
        | apply(sK9,sK7(sK11,sK8),X1)
        | ~ apply(sK9,X0,X1)
        | ~ member(X0,sK11)
        | equivalence(sK8,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),X0)
        | ~ member(X0,sK11)
        | member(sK2(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f295]) ).

fof(f3539,plain,
    ( ~ spl13_17
    | spl13_158
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f3502,f1064,f135,f3537,f615]) ).

fof(f3537,plain,
    ( spl13_158
  <=> ! [X7,X8] :
        ( ~ member(sK5(sK11,X7),sK11)
        | ~ apply(sK9,sK6(sK11,X8),sK7(sK11,sK8))
        | member(sK3(sK11,X7),sK11)
        | equivalence(X7,sK11)
        | member(sK4(sK11,X8),sK11)
        | member(sK4(sK11,X7),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK5(sK11,X7))
        | member(sK3(sK11,X8),sK11)
        | apply(sK9,sK6(sK11,X8),sK5(sK11,X7))
        | equivalence(X8,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_158])]) ).

fof(f3502,plain,
    ( ! [X8,X7] :
        ( ~ member(sK5(sK11,X7),sK11)
        | member(sK3(sK11,X8),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK5(sK11,X7))
        | member(sK4(sK11,X7),sK11)
        | equivalence(X8,sK11)
        | apply(sK9,sK6(sK11,X8),sK5(sK11,X7))
        | member(sK4(sK11,X8),sK11)
        | equivalence(X7,sK11)
        | member(sK3(sK11,X7),sK11)
        | ~ member(sK7(sK11,sK8),sK11)
        | ~ apply(sK9,sK6(sK11,X8),sK7(sK11,sK8)) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f1028]) ).

fof(f1028,plain,
    ( ! [X6,X7,X5] :
        ( ~ apply(sK9,X5,sK5(sK11,X6))
        | ~ apply(sK9,sK6(sK11,X7),X5)
        | member(sK4(sK11,X6),sK11)
        | member(sK4(sK11,X7),sK11)
        | member(sK3(sK11,X7),sK11)
        | ~ member(X5,sK11)
        | equivalence(X7,sK11)
        | equivalence(X6,sK11)
        | member(sK3(sK11,X6),sK11)
        | apply(sK9,sK6(sK11,X7),sK5(sK11,X6)) )
    | ~ spl13_2 ),
    inference(resolution,[],[f292,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X0)
      | member(sK3(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f3535,plain,
    ( ~ spl13_17
    | spl13_157
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f3503,f1064,f135,f3533,f615]) ).

fof(f3533,plain,
    ( spl13_157
  <=> ! [X9,X10] :
        ( member(sK4(sK11,X9),sK11)
        | ~ member(sK6(sK11,X9),sK11)
        | member(sK2(sK11,X9),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK6(sK11,X9))
        | equivalence(X10,sK11)
        | apply(sK9,sK6(sK11,X10),sK6(sK11,X9))
        | member(sK3(sK11,X10),sK11)
        | member(sK4(sK11,X10),sK11)
        | ~ apply(sK9,sK6(sK11,X10),sK7(sK11,sK8))
        | equivalence(X9,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_157])]) ).

fof(f3503,plain,
    ( ! [X10,X9] :
        ( member(sK4(sK11,X9),sK11)
        | equivalence(X9,sK11)
        | equivalence(X10,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK6(sK11,X9))
        | ~ apply(sK9,sK6(sK11,X10),sK7(sK11,sK8))
        | member(sK2(sK11,X9),sK11)
        | member(sK4(sK11,X10),sK11)
        | member(sK3(sK11,X10),sK11)
        | ~ member(sK7(sK11,sK8),sK11)
        | apply(sK9,sK6(sK11,X10),sK6(sK11,X9))
        | ~ member(sK6(sK11,X9),sK11) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f1032]) ).

fof(f1032,plain,
    ( ! [X18,X16,X17] :
        ( ~ apply(sK9,X16,sK6(sK11,X17))
        | apply(sK9,sK6(sK11,X18),sK6(sK11,X17))
        | member(sK3(sK11,X18),sK11)
        | ~ member(X16,sK11)
        | equivalence(X18,sK11)
        | equivalence(X17,sK11)
        | member(sK4(sK11,X18),sK11)
        | ~ apply(sK9,sK6(sK11,X18),X16)
        | member(sK2(sK11,X17),sK11)
        | member(sK4(sK11,X17),sK11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f292,f59]) ).

fof(f3531,plain,
    ( ~ spl13_17
    | spl13_156
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f3507,f1064,f135,f3529,f615]) ).

fof(f3529,plain,
    ( spl13_156
  <=> ! [X16,X15] :
        ( ~ apply(sK9,sK6(sK11,X16),sK7(sK11,sK8))
        | member(sK2(sK11,X15),sK11)
        | equivalence(X15,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK7(sK11,X15))
        | equivalence(X16,sK11)
        | ~ member(sK7(sK11,X15),sK11)
        | member(sK4(sK11,X15),sK11)
        | apply(sK9,sK6(sK11,X16),sK7(sK11,X15))
        | member(sK4(sK11,X16),sK11)
        | member(sK3(sK11,X16),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_156])]) ).

fof(f3507,plain,
    ( ! [X16,X15] :
        ( ~ apply(sK9,sK6(sK11,X16),sK7(sK11,sK8))
        | member(sK3(sK11,X16),sK11)
        | member(sK4(sK11,X16),sK11)
        | apply(sK9,sK6(sK11,X16),sK7(sK11,X15))
        | member(sK4(sK11,X15),sK11)
        | ~ member(sK7(sK11,X15),sK11)
        | equivalence(X16,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK7(sK11,X15))
        | equivalence(X15,sK11)
        | member(sK2(sK11,X15),sK11)
        | ~ member(sK7(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f1036]) ).

fof(f3527,plain,
    ( ~ spl13_9
    | spl13_154
    | ~ spl13_17
    | ~ spl13_155
    | ~ spl13_2
    | ~ spl13_9
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f3500,f1064,f442,f135,f3524,f615,f3521,f442]) ).

fof(f3521,plain,
    ( spl13_154
  <=> ! [X4] :
        ( member(sK3(sK11,X4),sK11)
        | equivalence(X4,sK11)
        | ~ apply(sK9,sK6(sK11,X4),sK7(sK11,sK8))
        | member(sK4(sK11,X4),sK11)
        | apply(sK9,sK6(sK11,X4),sK3(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_154])]) ).

fof(f3524,plain,
    ( spl13_155
  <=> apply(sK9,sK6(sK11,sK8),sK3(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_155])]) ).

fof(f442,plain,
    ( spl13_9
  <=> member(sK3(sK11,sK8),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).

fof(f3500,plain,
    ( ! [X4] :
        ( ~ apply(sK9,sK6(sK11,sK8),sK3(sK11,sK8))
        | ~ member(sK7(sK11,sK8),sK11)
        | member(sK3(sK11,X4),sK11)
        | apply(sK9,sK6(sK11,X4),sK3(sK11,sK8))
        | ~ member(sK3(sK11,sK8),sK11)
        | member(sK4(sK11,X4),sK11)
        | ~ apply(sK9,sK6(sK11,X4),sK7(sK11,sK8))
        | equivalence(X4,sK11) )
    | ~ spl13_2
    | ~ spl13_9
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f2370]) ).

fof(f2370,plain,
    ( ! [X11,X12] :
        ( ~ apply(sK9,X11,sK3(sK11,sK8))
        | member(sK4(sK11,X12),sK11)
        | member(sK3(sK11,X12),sK11)
        | apply(sK9,sK6(sK11,X12),sK3(sK11,sK8))
        | ~ apply(sK9,sK6(sK11,X12),X11)
        | equivalence(X12,sK11)
        | ~ member(X11,sK11) )
    | ~ spl13_2
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f292]) ).

fof(f444,plain,
    ( member(sK3(sK11,sK8),sK11)
    | ~ spl13_9 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f3519,plain,
    ( ~ spl13_17
    | spl13_153
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f3504,f1064,f135,f3517,f615]) ).

fof(f3517,plain,
    ( spl13_153
  <=> ! [X11,X12] :
        ( ~ apply(sK9,sK6(sK11,X12),sK7(sK11,sK8))
        | equivalence(X11,sK11)
        | member(sK3(sK11,X12),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK6(sK11,X11))
        | member(sK4(sK11,X11),sK11)
        | member(sK3(sK11,X11),sK11)
        | apply(sK9,sK6(sK11,X12),sK6(sK11,X11))
        | ~ member(sK6(sK11,X11),sK11)
        | member(sK4(sK11,X12),sK11)
        | equivalence(X12,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_153])]) ).

fof(f3504,plain,
    ( ! [X11,X12] :
        ( ~ apply(sK9,sK6(sK11,X12),sK7(sK11,sK8))
        | equivalence(X12,sK11)
        | ~ member(sK7(sK11,sK8),sK11)
        | member(sK4(sK11,X12),sK11)
        | ~ member(sK6(sK11,X11),sK11)
        | apply(sK9,sK6(sK11,X12),sK6(sK11,X11))
        | member(sK3(sK11,X11),sK11)
        | member(sK4(sK11,X11),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK6(sK11,X11))
        | member(sK3(sK11,X12),sK11)
        | equivalence(X11,sK11) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f1031]) ).

fof(f1031,plain,
    ( ! [X14,X15,X13] :
        ( ~ apply(sK9,X13,sK6(sK11,X14))
        | member(sK4(sK11,X14),sK11)
        | ~ apply(sK9,sK6(sK11,X15),X13)
        | member(sK3(sK11,X15),sK11)
        | apply(sK9,sK6(sK11,X15),sK6(sK11,X14))
        | equivalence(X15,sK11)
        | member(sK3(sK11,X14),sK11)
        | ~ member(X13,sK11)
        | member(sK4(sK11,X15),sK11)
        | equivalence(X14,sK11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f292,f95]) ).

fof(f3494,plain,
    ( spl13_5
    | spl13_3
    | spl13_152
    | spl13_8
    | ~ spl13_39 ),
    inference(avatar_split_clause,[],[f3489,f951,f436,f3492,f140,f424]) ).

fof(f3492,plain,
    ( spl13_152
  <=> ! [X1] :
        ( apply(sK10,X1,sK5(sK11,sK8))
        | ~ apply(sK8,X1,sK6(sK11,sK8))
        | ~ member(X1,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_152])]) ).

fof(f951,plain,
    ( spl13_39
  <=> ! [X8] :
        ( ~ member(X8,sK11)
        | apply(sK10,X8,sK5(sK11,sK8))
        | ~ apply(sK10,X8,sK6(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).

fof(f3489,plain,
    ( ! [X1] :
        ( member(sK2(sK11,sK8),sK11)
        | apply(sK10,X1,sK5(sK11,sK8))
        | ~ member(X1,sK11)
        | equivalence(sK8,sK11)
        | ~ apply(sK8,X1,sK6(sK11,sK8))
        | member(sK4(sK11,sK8),sK11) )
    | ~ spl13_39 ),
    inference(duplicate_literal_removal,[],[f3484]) ).

fof(f3484,plain,
    ( ! [X1] :
        ( ~ member(X1,sK11)
        | ~ apply(sK8,X1,sK6(sK11,sK8))
        | member(sK2(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | ~ member(X1,sK11)
        | member(sK4(sK11,sK8),sK11)
        | apply(sK10,X1,sK5(sK11,sK8)) )
    | ~ spl13_39 ),
    inference(resolution,[],[f952,f157]) ).

fof(f157,plain,
    ! [X19,X20] :
      ( apply(sK10,X20,sK6(sK11,X19))
      | ~ member(X20,sK11)
      | member(sK2(sK11,X19),sK11)
      | member(sK4(sK11,X19),sK11)
      | ~ apply(sK8,X20,sK6(sK11,X19))
      | equivalence(X19,sK11) ),
    inference(resolution,[],[f59,f109]) ).

fof(f109,plain,
    ! [X4,X5] :
      ( ~ member(X5,sK11)
      | apply(sK10,X4,X5)
      | ~ apply(sK8,X4,X5)
      | ~ member(X4,sK11) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ? [X2,X1,X0,X3] :
      ( equivalence(X0,X3)
      & equivalence(X1,X3)
      & ! [X5,X4] :
          ( ~ member(X5,X3)
          | ( apply(X2,X4,X5)
          <=> ( apply(X1,X4,X5)
              & apply(X0,X4,X5) ) )
          | ~ member(X4,X3) )
      & ~ equivalence(X2,X3) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ? [X3,X2,X1,X0] :
      ( ~ equivalence(X2,X3)
      & ! [X4,X5] :
          ( ( apply(X2,X4,X5)
          <=> ( apply(X1,X4,X5)
              & apply(X0,X4,X5) ) )
          | ~ member(X5,X3)
          | ~ member(X4,X3) )
      & equivalence(X1,X3)
      & equivalence(X0,X3) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ~ ! [X3,X2,X1,X0] :
        ( ( ! [X4,X5] :
              ( ( member(X5,X3)
                & member(X4,X3) )
             => ( apply(X2,X4,X5)
              <=> ( apply(X1,X4,X5)
                  & apply(X0,X4,X5) ) ) )
          & equivalence(X1,X3)
          & equivalence(X0,X3) )
       => equivalence(X2,X3) ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X8,X7,X6,X3] :
        ( ( equivalence(X8,X3)
          & ! [X0,X1] :
              ( ( member(X0,X3)
                & member(X1,X3) )
             => ( apply(X6,X0,X1)
              <=> ( apply(X7,X0,X1)
                  & apply(X8,X0,X1) ) ) )
          & equivalence(X7,X3) )
       => equivalence(X6,X3) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X8,X7,X6,X3] :
      ( ( equivalence(X8,X3)
        & ! [X0,X1] :
            ( ( member(X0,X3)
              & member(X1,X3) )
           => ( apply(X6,X0,X1)
            <=> ( apply(X7,X0,X1)
                & apply(X8,X0,X1) ) ) )
        & equivalence(X7,X3) )
     => equivalence(X6,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII09) ).

fof(f952,plain,
    ( ! [X8] :
        ( ~ apply(sK10,X8,sK6(sK11,sK8))
        | apply(sK10,X8,sK5(sK11,sK8))
        | ~ member(X8,sK11) )
    | ~ spl13_39 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f3482,plain,
    ( ~ spl13_6
    | spl13_5
    | spl13_8
    | spl13_3
    | spl13_151
    | ~ spl13_1
    | ~ spl13_34 ),
    inference(avatar_split_clause,[],[f3469,f773,f130,f3480,f140,f436,f424,f428]) ).

fof(f428,plain,
    ( spl13_6
  <=> member(sK6(sK11,sK8),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).

fof(f3480,plain,
    ( spl13_151
  <=> ! [X2] :
        ( equivalence(X2,sK11)
        | member(sK3(sK11,X2),sK11)
        | apply(sK10,sK5(sK11,sK8),sK6(sK11,X2))
        | member(sK4(sK11,X2),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_151])]) ).

fof(f773,plain,
    ( spl13_34
  <=> apply(sK10,sK5(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).

fof(f3469,plain,
    ( ! [X2] :
        ( equivalence(X2,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X2))
        | equivalence(sK8,sK11)
        | member(sK4(sK11,X2),sK11)
        | member(sK2(sK11,sK8),sK11)
        | member(sK4(sK11,sK8),sK11)
        | apply(sK10,sK5(sK11,sK8),sK6(sK11,X2))
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK3(sK11,X2),sK11) )
    | ~ spl13_1
    | ~ spl13_34 ),
    inference(resolution,[],[f775,f973]) ).

fof(f973,plain,
    ( ! [X10,X8,X9] :
        ( ~ apply(sK10,sK5(sK11,X8),X10)
        | apply(sK10,sK5(sK11,X8),sK6(sK11,X9))
        | ~ apply(sK10,X10,sK6(sK11,X9))
        | ~ member(X10,sK11)
        | member(sK3(sK11,X9),sK11)
        | equivalence(X9,sK11)
        | equivalence(X8,sK11)
        | member(sK4(sK11,X9),sK11)
        | member(sK2(sK11,X8),sK11)
        | member(sK4(sK11,X8),sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f286,f61]) ).

fof(f775,plain,
    ( apply(sK10,sK5(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_34 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f3478,plain,
    ( spl13_8
    | ~ spl13_6
    | spl13_5
    | spl13_150
    | spl13_3
    | ~ spl13_1
    | ~ spl13_34 ),
    inference(avatar_split_clause,[],[f3467,f773,f130,f140,f3476,f424,f428,f436]) ).

fof(f3476,plain,
    ( spl13_150
  <=> ! [X0] :
        ( ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X0))
        | member(sK4(sK11,X0),sK11)
        | equivalence(X0,sK11)
        | apply(sK10,sK5(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_150])]) ).

fof(f3467,plain,
    ( ! [X0] :
        ( equivalence(sK8,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11)
        | apply(sK10,sK5(sK11,sK8),sK6(sK11,X0))
        | member(sK4(sK11,sK8),sK11)
        | equivalence(X0,sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK2(sK11,sK8),sK11)
        | member(sK4(sK11,X0),sK11) )
    | ~ spl13_1
    | ~ spl13_34 ),
    inference(resolution,[],[f775,f987]) ).

fof(f987,plain,
    ( ! [X10,X8,X9] :
        ( ~ apply(sK10,sK5(sK11,X8),X9)
        | member(sK2(sK11,X8),sK11)
        | apply(sK10,sK5(sK11,X8),sK6(sK11,X10))
        | ~ apply(sK10,X9,sK6(sK11,X10))
        | member(sK4(sK11,X10),sK11)
        | ~ member(X9,sK11)
        | equivalence(X10,sK11)
        | member(sK4(sK11,X8),sK11)
        | member(sK2(sK11,X10),sK11)
        | equivalence(X8,sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f287,f61]) ).

fof(f3466,plain,
    ( spl13_5
    | spl13_3
    | ~ spl13_6
    | spl13_8
    | spl13_149
    | ~ spl13_2
    | ~ spl13_31 ),
    inference(avatar_split_clause,[],[f3457,f756,f135,f3464,f436,f428,f140,f424]) ).

fof(f3464,plain,
    ( spl13_149
  <=> ! [X3] :
        ( equivalence(X3,sK11)
        | apply(sK9,sK6(sK11,X3),sK7(sK11,sK8))
        | member(sK3(sK11,X3),sK11)
        | ~ apply(sK9,sK6(sK11,X3),sK6(sK11,sK8))
        | member(sK4(sK11,X3),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_149])]) ).

fof(f756,plain,
    ( spl13_31
  <=> apply(sK9,sK6(sK11,sK8),sK7(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).

fof(f3457,plain,
    ( ! [X3] :
        ( equivalence(X3,sK11)
        | member(sK2(sK11,sK8),sK11)
        | member(sK4(sK11,X3),sK11)
        | ~ apply(sK9,sK6(sK11,X3),sK6(sK11,sK8))
        | member(sK3(sK11,X3),sK11)
        | apply(sK9,sK6(sK11,X3),sK7(sK11,sK8))
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | member(sK4(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_31 ),
    inference(resolution,[],[f758,f1036]) ).

fof(f758,plain,
    ( apply(sK9,sK6(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_31 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f3453,plain,
    ( ~ spl13_6
    | spl13_8
    | spl13_41
    | spl13_3
    | spl13_5
    | ~ spl13_2
    | ~ spl13_18 ),
    inference(avatar_split_clause,[],[f3445,f636,f135,f424,f140,f1064,f436,f428]) ).

fof(f636,plain,
    ( spl13_18
  <=> apply(sK9,sK7(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).

fof(f3445,plain,
    ( ! [X0] :
        ( member(sK4(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | apply(sK9,sK7(sK11,sK8),X0)
        | ~ member(X0,sK11)
        | member(sK2(sK11,sK8),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),X0)
        | ~ member(sK6(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_18 ),
    inference(resolution,[],[f638,f295]) ).

fof(f638,plain,
    ( apply(sK9,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_18 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f3431,plain,
    ( spl13_93
    | spl13_8
    | spl13_3
    | spl13_5
    | ~ spl13_17
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f3236,f428,f615,f424,f140,f436,f1804]) ).

fof(f1804,plain,
    ( spl13_93
  <=> apply(sK10,sK7(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).

fof(f3236,plain,
    ( ~ member(sK7(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK2(sK11,sK8),sK11)
    | apply(sK10,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_6 ),
    inference(resolution,[],[f3117,f56]) ).

fof(f3117,plain,
    ( ! [X3] :
        ( ~ apply(sK8,X3,sK6(sK11,sK8))
        | apply(sK10,X3,sK6(sK11,sK8))
        | ~ member(X3,sK11) )
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f109]) ).

fof(f429,plain,
    ( member(sK6(sK11,sK8),sK11)
    | ~ spl13_6 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f3430,plain,
    ( spl13_5
    | spl13_3
    | spl13_8
    | spl13_17 ),
    inference(avatar_split_clause,[],[f3429,f615,f436,f140,f424]) ).

fof(f3429,plain,
    ( member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | spl13_17 ),
    inference(resolution,[],[f616,f60]) ).

fof(f616,plain,
    ( ~ member(sK7(sK11,sK8),sK11)
    | spl13_17 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f3408,plain,
    ( spl13_34
    | spl13_33
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f3166,f641,f770,f773]) ).

fof(f770,plain,
    ( spl13_33
  <=> ! [X0] :
        ( ~ member(sK6(sK11,sK8),X0)
        | ~ member(sK5(sK11,sK8),X0)
        | ~ equivalence(sK10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).

fof(f641,plain,
    ( spl13_19
  <=> apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).

fof(f3166,plain,
    ( ! [X6] :
        ( ~ member(sK6(sK11,sK8),X6)
        | ~ equivalence(sK10,X6)
        | ~ member(sK5(sK11,sK8),X6)
        | apply(sK10,sK5(sK11,sK8),sK6(sK11,sK8)) )
    | ~ spl13_19 ),
    inference(resolution,[],[f643,f99]) ).

fof(f99,plain,
    ! [X0,X1,X6,X5] :
      ( ~ apply(X1,X5,X6)
      | ~ member(X5,X0)
      | ~ member(X6,X0)
      | apply(X1,X6,X5)
      | ~ equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f643,plain,
    ( apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_19 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f3407,plain,
    ( spl13_3
    | spl13_8
    | spl13_5
    | spl13_14 ),
    inference(avatar_split_clause,[],[f3406,f601,f424,f436,f140]) ).

fof(f3406,plain,
    ( member(sK4(sK11,sK8),sK11)
    | member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | spl13_14 ),
    inference(resolution,[],[f602,f61]) ).

fof(f602,plain,
    ( ~ member(sK5(sK11,sK8),sK11)
    | spl13_14 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f3399,plain,
    ( spl13_28
    | spl13_29
    | ~ spl13_4 ),
    inference(avatar_split_clause,[],[f3132,f420,f742,f738]) ).

fof(f738,plain,
    ( spl13_28
  <=> apply(sK9,sK5(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).

fof(f742,plain,
    ( spl13_29
  <=> ! [X0] :
        ( ~ member(sK6(sK11,sK8),X0)
        | ~ member(sK5(sK11,sK8),X0)
        | ~ equivalence(sK9,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).

fof(f420,plain,
    ( spl13_4
  <=> apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f3132,plain,
    ( ! [X4] :
        ( ~ equivalence(sK9,X4)
        | ~ member(sK6(sK11,sK8),X4)
        | ~ member(sK5(sK11,sK8),X4)
        | apply(sK9,sK5(sK11,sK8),sK6(sK11,sK8)) )
    | ~ spl13_4 ),
    inference(resolution,[],[f422,f99]) ).

fof(f422,plain,
    ( apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f3398,plain,
    ( ~ spl13_6
    | spl13_3
    | spl13_5
    | spl13_39
    | spl13_8
    | ~ spl13_1
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f3162,f641,f130,f436,f951,f424,f140,f428]) ).

fof(f3162,plain,
    ( ! [X4] :
        ( member(sK2(sK11,sK8),sK11)
        | apply(sK10,X4,sK5(sK11,sK8))
        | member(sK4(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | ~ member(X4,sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | ~ apply(sK10,X4,sK6(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_19 ),
    inference(resolution,[],[f643,f285]) ).

fof(f285,plain,
    ( ! [X3,X4,X5] :
        ( ~ apply(sK10,X3,sK5(sK11,X4))
        | ~ apply(sK10,X5,X3)
        | member(sK2(sK11,X4),sK11)
        | apply(sK10,X5,sK5(sK11,X4))
        | ~ member(X5,sK11)
        | equivalence(X4,sK11)
        | ~ member(X3,sK11)
        | member(sK4(sK11,X4),sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f282,f61]) ).

fof(f3397,plain,
    ( spl13_8
    | ~ spl13_14
    | spl13_3
    | spl13_5
    | spl13_80
    | ~ spl13_1
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f3158,f641,f130,f1657,f424,f140,f601,f436]) ).

fof(f1657,plain,
    ( spl13_80
  <=> ! [X0] :
        ( member(sK4(sK11,X0),sK11)
        | equivalence(X0,sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11)
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).

fof(f3158,plain,
    ( ! [X0] :
        ( apply(sK10,sK6(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11)
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X0))
        | member(sK4(sK11,sK8),sK11)
        | member(sK4(sK11,X0),sK11)
        | equivalence(sK8,sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | member(sK2(sK11,sK8),sK11)
        | equivalence(X0,sK11) )
    | ~ spl13_1
    | ~ spl13_19 ),
    inference(resolution,[],[f643,f990]) ).

fof(f990,plain,
    ( ! [X18,X16,X17] :
        ( ~ apply(sK10,sK6(sK11,X16),X17)
        | ~ apply(sK10,X17,sK6(sK11,X18))
        | equivalence(X18,sK11)
        | member(sK2(sK11,X16),sK11)
        | ~ member(X17,sK11)
        | member(sK2(sK11,X18),sK11)
        | member(sK4(sK11,X18),sK11)
        | equivalence(X16,sK11)
        | apply(sK10,sK6(sK11,X16),sK6(sK11,X18))
        | member(sK4(sK11,X16),sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f287,f59]) ).

fof(f3396,plain,
    ( spl13_40
    | spl13_8
    | ~ spl13_6
    | spl13_5
    | spl13_3
    | ~ spl13_2
    | ~ spl13_28 ),
    inference(avatar_split_clause,[],[f3186,f738,f135,f140,f424,f428,f436,f1014]) ).

fof(f1014,plain,
    ( spl13_40
  <=> ! [X5] :
        ( apply(sK9,sK5(sK11,sK8),X5)
        | ~ member(X5,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).

fof(f3186,plain,
    ( ! [X0] :
        ( equivalence(sK8,sK11)
        | member(sK4(sK11,sK8),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK2(sK11,sK8),sK11)
        | apply(sK9,sK5(sK11,sK8),X0)
        | ~ apply(sK9,sK6(sK11,sK8),X0)
        | ~ member(X0,sK11) )
    | ~ spl13_2
    | ~ spl13_28 ),
    inference(resolution,[],[f740,f291]) ).

fof(f291,plain,
    ( ! [X3,X4,X5] :
        ( ~ apply(sK9,sK5(sK11,X3),X5)
        | ~ member(X4,sK11)
        | equivalence(X3,sK11)
        | ~ member(X5,sK11)
        | apply(sK9,sK5(sK11,X3),X4)
        | ~ apply(sK9,X5,X4)
        | member(sK2(sK11,X3),sK11)
        | member(sK4(sK11,X3),sK11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f283,f61]) ).

fof(f740,plain,
    ( apply(sK9,sK5(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_28 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f3395,plain,
    ( spl13_3
    | spl13_8
    | ~ spl13_14
    | spl13_73
    | spl13_5
    | ~ spl13_1
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f3160,f641,f130,f424,f1614,f601,f436,f140]) ).

fof(f1614,plain,
    ( spl13_73
  <=> ! [X0] :
        ( member(sK3(sK11,X0),sK11)
        | member(sK4(sK11,X0),sK11)
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).

fof(f3160,plain,
    ( ! [X2] :
        ( member(sK4(sK11,sK8),sK11)
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X2))
        | ~ member(sK5(sK11,sK8),sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X2))
        | equivalence(X2,sK11)
        | member(sK2(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | member(sK4(sK11,X2),sK11)
        | member(sK3(sK11,X2),sK11) )
    | ~ spl13_1
    | ~ spl13_19 ),
    inference(resolution,[],[f643,f976]) ).

fof(f976,plain,
    ( ! [X18,X16,X17] :
        ( ~ apply(sK10,sK6(sK11,X16),X18)
        | member(sK4(sK11,X16),sK11)
        | member(sK3(sK11,X17),sK11)
        | apply(sK10,sK6(sK11,X16),sK6(sK11,X17))
        | ~ member(X18,sK11)
        | equivalence(X17,sK11)
        | equivalence(X16,sK11)
        | member(sK4(sK11,X17),sK11)
        | member(sK2(sK11,X16),sK11)
        | ~ apply(sK10,X18,sK6(sK11,X17)) )
    | ~ spl13_1 ),
    inference(resolution,[],[f286,f59]) ).

fof(f3394,plain,
    ( ~ spl13_14
    | spl13_66
    | ~ spl13_2
    | ~ spl13_4
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f3332,f428,f420,f135,f1482,f601]) ).

fof(f1482,plain,
    ( spl13_66
  <=> ! [X0] :
        ( ~ member(X0,sK11)
        | apply(sK9,sK6(sK11,sK8),X0)
        | ~ apply(sK9,sK5(sK11,sK8),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_66])]) ).

fof(f3332,plain,
    ( ! [X0] :
        ( ~ member(X0,sK11)
        | apply(sK9,sK6(sK11,sK8),X0)
        | ~ member(sK5(sK11,sK8),sK11)
        | ~ apply(sK9,sK5(sK11,sK8),X0) )
    | ~ spl13_2
    | ~ spl13_4
    | ~ spl13_6 ),
    inference(resolution,[],[f3123,f422]) ).

fof(f3123,plain,
    ( ! [X8,X9] :
        ( ~ apply(sK9,sK6(sK11,sK8),X9)
        | ~ member(X9,sK11)
        | ~ apply(sK9,X9,X8)
        | apply(sK9,sK6(sK11,sK8),X8)
        | ~ member(X8,sK11) )
    | ~ spl13_2
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f283]) ).

fof(f3393,plain,
    ( spl13_8
    | ~ spl13_6
    | spl13_3
    | spl13_5
    | spl13_148
    | ~ spl13_2
    | ~ spl13_4 ),
    inference(avatar_split_clause,[],[f3130,f420,f135,f3391,f424,f140,f428,f436]) ).

fof(f3391,plain,
    ( spl13_148
  <=> ! [X2] :
        ( apply(sK9,sK6(sK11,X2),sK5(sK11,sK8))
        | equivalence(X2,sK11)
        | member(sK4(sK11,X2),sK11)
        | member(sK3(sK11,X2),sK11)
        | ~ apply(sK9,sK6(sK11,X2),sK6(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_148])]) ).

fof(f3130,plain,
    ( ! [X2] :
        ( apply(sK9,sK6(sK11,X2),sK5(sK11,sK8))
        | ~ apply(sK9,sK6(sK11,X2),sK6(sK11,sK8))
        | member(sK4(sK11,sK8),sK11)
        | member(sK3(sK11,X2),sK11)
        | member(sK4(sK11,X2),sK11)
        | equivalence(sK8,sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X2,sK11)
        | member(sK2(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_4 ),
    inference(resolution,[],[f422,f1029]) ).

fof(f3389,plain,
    ( spl13_5
    | spl13_3
    | ~ spl13_14
    | spl13_82
    | spl13_8
    | ~ spl13_2
    | ~ spl13_28 ),
    inference(avatar_split_clause,[],[f3188,f738,f135,f436,f1673,f601,f140,f424]) ).

fof(f1673,plain,
    ( spl13_82
  <=> ! [X2] :
        ( member(sK3(sK11,X2),sK11)
        | apply(sK9,sK6(sK11,X2),sK6(sK11,sK8))
        | equivalence(X2,sK11)
        | member(sK4(sK11,X2),sK11)
        | ~ apply(sK9,sK6(sK11,X2),sK5(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_82])]) ).

fof(f3188,plain,
    ( ! [X2] :
        ( member(sK2(sK11,sK8),sK11)
        | equivalence(X2,sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | member(sK4(sK11,X2),sK11)
        | ~ apply(sK9,sK6(sK11,X2),sK5(sK11,sK8))
        | member(sK3(sK11,X2),sK11)
        | member(sK4(sK11,sK8),sK11)
        | apply(sK9,sK6(sK11,X2),sK6(sK11,sK8)) )
    | ~ spl13_2
    | ~ spl13_28 ),
    inference(resolution,[],[f740,f1032]) ).

fof(f3388,plain,
    ( spl13_8
    | spl13_5
    | spl13_3
    | spl13_147
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f3330,f428,f130,f3386,f140,f424,f436]) ).

fof(f3386,plain,
    ( spl13_147
  <=> ! [X2,X3] :
        ( ~ apply(sK10,X2,X3)
        | ~ member(X3,sK11)
        | ~ member(X2,sK11)
        | ~ apply(sK8,X3,sK6(sK11,sK8))
        | apply(sK10,X2,sK6(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_147])]) ).

fof(f3330,plain,
    ( ! [X2,X3] :
        ( ~ apply(sK10,X2,X3)
        | equivalence(sK8,sK11)
        | apply(sK10,X2,sK6(sK11,sK8))
        | ~ apply(sK8,X3,sK6(sK11,sK8))
        | ~ member(X2,sK11)
        | member(sK4(sK11,sK8),sK11)
        | member(sK2(sK11,sK8),sK11)
        | ~ member(X3,sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(duplicate_literal_removal,[],[f3325]) ).

fof(f3325,plain,
    ( ! [X2,X3] :
        ( ~ apply(sK10,X2,X3)
        | ~ apply(sK8,X3,sK6(sK11,sK8))
        | equivalence(sK8,sK11)
        | ~ member(X3,sK11)
        | member(sK4(sK11,sK8),sK11)
        | apply(sK10,X2,sK6(sK11,sK8))
        | ~ member(X3,sK11)
        | ~ member(X2,sK11)
        | member(sK2(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f3122,f157]) ).

fof(f3122,plain,
    ( ! [X6,X7] :
        ( ~ apply(sK10,X6,sK6(sK11,sK8))
        | ~ member(X7,sK11)
        | ~ apply(sK10,X7,X6)
        | apply(sK10,X7,sK6(sK11,sK8))
        | ~ member(X6,sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f282]) ).

fof(f3384,plain,
    ( spl13_5
    | spl13_8
    | spl13_3
    | ~ spl13_6
    | spl13_31
    | ~ spl13_37 ),
    inference(avatar_split_clause,[],[f3356,f844,f756,f428,f140,f436,f424]) ).

fof(f844,plain,
    ( spl13_37
  <=> apply(sK8,sK6(sK11,sK8),sK7(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).

fof(f3356,plain,
    ( apply(sK9,sK6(sK11,sK8),sK7(sK11,sK8))
    | ~ member(sK6(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK2(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_37 ),
    inference(resolution,[],[f846,f166]) ).

fof(f166,plain,
    ! [X18,X17] :
      ( ~ apply(sK8,X18,sK7(sK11,X17))
      | equivalence(X17,sK11)
      | member(sK2(sK11,X17),sK11)
      | apply(sK9,X18,sK7(sK11,X17))
      | member(sK4(sK11,X17),sK11)
      | ~ member(X18,sK11) ),
    inference(resolution,[],[f60,f110]) ).

fof(f110,plain,
    ! [X4,X5] :
      ( ~ member(X5,sK11)
      | ~ member(X4,sK11)
      | apply(sK9,X4,X5)
      | ~ apply(sK8,X4,X5) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f846,plain,
    ( apply(sK8,sK6(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_37 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f3383,plain,
    ( spl13_16
    | spl13_38
    | ~ spl13_37 ),
    inference(avatar_split_clause,[],[f3357,f844,f848,f610]) ).

fof(f848,plain,
    ( spl13_38
  <=> ! [X0] :
        ( ~ equivalence(sK8,X0)
        | ~ member(sK6(sK11,sK8),X0)
        | ~ member(sK7(sK11,sK8),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).

fof(f3357,plain,
    ( ! [X0] :
        ( ~ equivalence(sK8,X0)
        | ~ member(sK7(sK11,sK8),X0)
        | ~ member(sK6(sK11,sK8),X0)
        | apply(sK8,sK7(sK11,sK8),sK6(sK11,sK8)) )
    | ~ spl13_37 ),
    inference(resolution,[],[f846,f99]) ).

fof(f3382,plain,
    ( ~ spl13_17
    | spl13_18
    | spl13_5
    | spl13_8
    | spl13_3
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f3240,f428,f140,f436,f424,f636,f615]) ).

fof(f3240,plain,
    ( equivalence(sK8,sK11)
    | member(sK2(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | apply(sK9,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ member(sK7(sK11,sK8),sK11)
    | ~ spl13_6 ),
    inference(resolution,[],[f3118,f56]) ).

fof(f3118,plain,
    ( ! [X4] :
        ( ~ apply(sK8,X4,sK6(sK11,sK8))
        | ~ member(X4,sK11)
        | apply(sK9,X4,sK6(sK11,sK8)) )
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f110]) ).

fof(f3381,plain,
    ( spl13_3
    | spl13_8
    | spl13_5
    | spl13_66
    | ~ spl13_2
    | ~ spl13_4 ),
    inference(avatar_split_clause,[],[f3134,f420,f135,f1482,f424,f436,f140]) ).

fof(f3134,plain,
    ( ! [X0] :
        ( ~ apply(sK9,sK5(sK11,sK8),X0)
        | apply(sK9,sK6(sK11,sK8),X0)
        | member(sK4(sK11,sK8),sK11)
        | ~ member(X0,sK11)
        | member(sK2(sK11,sK8),sK11)
        | equivalence(sK8,sK11) )
    | ~ spl13_2
    | ~ spl13_4 ),
    inference(duplicate_literal_removal,[],[f3128]) ).

fof(f3128,plain,
    ( ! [X0] :
        ( apply(sK9,sK6(sK11,sK8),X0)
        | member(sK4(sK11,sK8),sK11)
        | member(sK2(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | equivalence(sK8,sK11)
        | ~ apply(sK9,sK5(sK11,sK8),X0)
        | ~ member(X0,sK11)
        | member(sK4(sK11,sK8),sK11)
        | member(sK2(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_4 ),
    inference(resolution,[],[f422,f1041]) ).

fof(f1041,plain,
    ( ! [X10,X8,X9] :
        ( ~ apply(sK9,sK6(sK11,X8),sK5(sK11,X10))
        | member(sK2(sK11,X10),sK11)
        | member(sK4(sK11,X10),sK11)
        | equivalence(X8,sK11)
        | ~ apply(sK9,sK5(sK11,X10),X9)
        | apply(sK9,sK6(sK11,X8),X9)
        | ~ member(X9,sK11)
        | equivalence(X10,sK11)
        | member(sK2(sK11,X8),sK11)
        | member(sK4(sK11,X8),sK11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f293,f61]) ).

fof(f293,plain,
    ( ! [X10,X11,X9] :
        ( ~ member(X11,sK11)
        | member(sK4(sK11,X9),sK11)
        | equivalence(X9,sK11)
        | member(sK2(sK11,X9),sK11)
        | apply(sK9,sK6(sK11,X9),X10)
        | ~ member(X10,sK11)
        | ~ apply(sK9,X11,X10)
        | ~ apply(sK9,sK6(sK11,X9),X11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f283,f59]) ).

fof(f3380,plain,
    ( spl13_5
    | ~ spl13_15
    | spl13_3
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f3372,f1221,f140,f605,f424]) ).

fof(f3372,plain,
    ( equivalence(sK8,sK11)
    | ~ apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK7(X0,X1),sK5(X0,X1))
      | member(sK4(X0,X1),X0)
      | equivalence(X1,X0)
      | ~ apply(X1,sK3(X0,X1),sK2(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f3379,plain,
    ( spl13_5
    | spl13_3
    | spl13_7
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f3374,f1221,f432,f140,f424]) ).

fof(f3374,plain,
    ( apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f82]) ).

fof(f3111,plain,
    ( spl13_3
    | spl13_5
    | spl13_7
    | spl13_16 ),
    inference(avatar_split_clause,[],[f2500,f610,f432,f424,f140]) ).

fof(f2500,plain,
    ( apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | spl13_16 ),
    inference(resolution,[],[f611,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( apply(X1,sK7(X0,X1),sK6(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK2(X0,X1),sK3(X0,X1))
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f3110,plain,
    ( spl13_5
    | spl13_3
    | spl13_7
    | spl13_13 ),
    inference(avatar_split_clause,[],[f2497,f596,f432,f140,f424]) ).

fof(f2497,plain,
    ( apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | spl13_13 ),
    inference(resolution,[],[f597,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( apply(X1,sK6(X0,X1),sK5(X0,X1))
      | equivalence(X1,X0)
      | member(sK4(X0,X1),X0)
      | apply(X1,sK2(X0,X1),sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f3109,plain,
    ( ~ spl13_9
    | ~ spl13_8
    | ~ spl13_1
    | ~ spl13_129 ),
    inference(avatar_split_clause,[],[f3108,f2445,f130,f436,f442]) ).

fof(f2445,plain,
    ( spl13_129
  <=> ! [X3] :
        ( ~ member(sK3(sK11,sK8),X3)
        | ~ equivalence(sK10,X3)
        | ~ member(sK2(sK11,sK8),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_129])]) ).

fof(f3108,plain,
    ( ~ member(sK2(sK11,sK8),sK11)
    | ~ member(sK3(sK11,sK8),sK11)
    | ~ spl13_1
    | ~ spl13_129 ),
    inference(resolution,[],[f2446,f132]) ).

fof(f2446,plain,
    ( ! [X3] :
        ( ~ equivalence(sK10,X3)
        | ~ member(sK2(sK11,sK8),X3)
        | ~ member(sK3(sK11,sK8),X3) )
    | ~ spl13_129 ),
    inference(avatar_component_clause,[],[f2445]) ).

fof(f2954,plain,
    ( ~ spl13_8
    | spl13_146
    | ~ spl13_2
    | ~ spl13_9
    | ~ spl13_134 ),
    inference(avatar_split_clause,[],[f2943,f2468,f442,f135,f2952,f436]) ).

fof(f2952,plain,
    ( spl13_146
  <=> ! [X0] :
        ( ~ member(X0,sK11)
        | apply(sK9,sK3(sK11,sK8),X0)
        | ~ apply(sK9,sK2(sK11,sK8),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_146])]) ).

fof(f2468,plain,
    ( spl13_134
  <=> apply(sK9,sK3(sK11,sK8),sK2(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_134])]) ).

fof(f2943,plain,
    ( ! [X0] :
        ( ~ member(X0,sK11)
        | ~ apply(sK9,sK2(sK11,sK8),X0)
        | ~ member(sK2(sK11,sK8),sK11)
        | apply(sK9,sK3(sK11,sK8),X0) )
    | ~ spl13_2
    | ~ spl13_9
    | ~ spl13_134 ),
    inference(resolution,[],[f2470,f2367]) ).

fof(f2367,plain,
    ( ! [X6,X5] :
        ( ~ apply(sK9,sK3(sK11,sK8),X6)
        | ~ member(X6,sK11)
        | apply(sK9,sK3(sK11,sK8),X5)
        | ~ member(X5,sK11)
        | ~ apply(sK9,X6,X5) )
    | ~ spl13_2
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f283]) ).

fof(f2470,plain,
    ( apply(sK9,sK3(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_134 ),
    inference(avatar_component_clause,[],[f2468]) ).

fof(f2950,plain,
    ( ~ spl13_9
    | spl13_145
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_134 ),
    inference(avatar_split_clause,[],[f2944,f2468,f436,f135,f2948,f442]) ).

fof(f2948,plain,
    ( spl13_145
  <=> ! [X1] :
        ( ~ apply(sK9,sK6(sK11,X1),sK3(sK11,sK8))
        | member(sK4(sK11,X1),sK11)
        | equivalence(X1,sK11)
        | apply(sK9,sK6(sK11,X1),sK2(sK11,sK8))
        | member(sK3(sK11,X1),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_145])]) ).

fof(f2944,plain,
    ( ! [X1] :
        ( ~ apply(sK9,sK6(sK11,X1),sK3(sK11,sK8))
        | ~ member(sK3(sK11,sK8),sK11)
        | member(sK3(sK11,X1),sK11)
        | apply(sK9,sK6(sK11,X1),sK2(sK11,sK8))
        | equivalence(X1,sK11)
        | member(sK4(sK11,X1),sK11) )
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_134 ),
    inference(resolution,[],[f2470,f1027]) ).

fof(f1027,plain,
    ( ! [X3,X4] :
        ( ~ apply(sK9,X3,sK2(sK11,sK8))
        | ~ apply(sK9,sK6(sK11,X4),X3)
        | member(sK4(sK11,X4),sK11)
        | equivalence(X4,sK11)
        | member(sK3(sK11,X4),sK11)
        | apply(sK9,sK6(sK11,X4),sK2(sK11,sK8))
        | ~ member(X3,sK11) )
    | ~ spl13_2
    | ~ spl13_8 ),
    inference(resolution,[],[f292,f438]) ).

fof(f438,plain,
    ( member(sK2(sK11,sK8),sK11)
    | ~ spl13_8 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f2768,plain,
    ( spl13_13
    | spl13_5
    | spl13_3
    | ~ spl13_15 ),
    inference(avatar_split_clause,[],[f2757,f605,f140,f424,f596]) ).

fof(f2757,plain,
    ( equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | apply(sK8,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_15 ),
    inference(resolution,[],[f606,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK3(X0,X1),sK2(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK6(X0,X1),sK5(X0,X1))
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f606,plain,
    ( apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_15 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f2767,plain,
    ( spl13_3
    | spl13_14
    | spl13_5
    | ~ spl13_15 ),
    inference(avatar_split_clause,[],[f2759,f605,f424,f601,f140]) ).

fof(f2759,plain,
    ( member(sK4(sK11,sK8),sK11)
    | member(sK5(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | ~ spl13_15 ),
    inference(resolution,[],[f606,f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK3(X0,X1),sK2(X0,X1))
      | equivalence(X1,X0)
      | member(sK5(X0,X1),X0)
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2766,plain,
    ( spl13_5
    | spl13_3
    | spl13_17
    | ~ spl13_15 ),
    inference(avatar_split_clause,[],[f2760,f605,f615,f140,f424]) ).

fof(f2760,plain,
    ( member(sK7(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_15 ),
    inference(resolution,[],[f606,f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK3(X0,X1),sK2(X0,X1))
      | member(sK4(X0,X1),X0)
      | member(sK7(X0,X1),X0)
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2765,plain,
    ( spl13_5
    | spl13_3
    | spl13_6
    | ~ spl13_15 ),
    inference(avatar_split_clause,[],[f2761,f605,f428,f140,f424]) ).

fof(f2761,plain,
    ( member(sK6(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_15 ),
    inference(resolution,[],[f606,f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK3(X0,X1),sK2(X0,X1))
      | equivalence(X1,X0)
      | member(sK6(X0,X1),X0)
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2764,plain,
    ( spl13_5
    | spl13_3
    | spl13_16
    | ~ spl13_15 ),
    inference(avatar_split_clause,[],[f2758,f605,f610,f140,f424]) ).

fof(f2758,plain,
    ( apply(sK8,sK7(sK11,sK8),sK6(sK11,sK8))
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_15 ),
    inference(resolution,[],[f606,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK3(X0,X1),sK2(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK7(X0,X1),sK6(X0,X1))
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2754,plain,
    ( ~ spl13_9
    | spl13_15
    | ~ spl13_134
    | ~ spl13_8
    | ~ spl13_128 ),
    inference(avatar_split_clause,[],[f2523,f2441,f436,f2468,f605,f442]) ).

fof(f2441,plain,
    ( spl13_128
  <=> apply(sK10,sK3(sK11,sK8),sK2(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_128])]) ).

fof(f2523,plain,
    ( ~ apply(sK9,sK3(sK11,sK8),sK2(sK11,sK8))
    | apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
    | ~ member(sK3(sK11,sK8),sK11)
    | ~ spl13_8
    | ~ spl13_128 ),
    inference(resolution,[],[f2443,f674]) ).

fof(f674,plain,
    ( ! [X2] :
        ( ~ apply(sK10,X2,sK2(sK11,sK8))
        | ~ member(X2,sK11)
        | ~ apply(sK9,X2,sK2(sK11,sK8))
        | apply(sK8,X2,sK2(sK11,sK8)) )
    | ~ spl13_8 ),
    inference(resolution,[],[f438,f111]) ).

fof(f111,plain,
    ! [X4,X5] :
      ( ~ member(X5,sK11)
      | ~ apply(sK10,X4,X5)
      | ~ member(X4,sK11)
      | apply(sK8,X4,X5)
      | ~ apply(sK9,X4,X5) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f2443,plain,
    ( apply(sK10,sK3(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_128 ),
    inference(avatar_component_clause,[],[f2441]) ).

fof(f2753,plain,
    ( ~ spl13_8
    | ~ spl13_9
    | ~ spl13_2
    | ~ spl13_135 ),
    inference(avatar_split_clause,[],[f2752,f2472,f135,f442,f436]) ).

fof(f2472,plain,
    ( spl13_135
  <=> ! [X1] :
        ( ~ member(sK3(sK11,sK8),X1)
        | ~ equivalence(sK9,X1)
        | ~ member(sK2(sK11,sK8),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_135])]) ).

fof(f2752,plain,
    ( ~ member(sK3(sK11,sK8),sK11)
    | ~ member(sK2(sK11,sK8),sK11)
    | ~ spl13_2
    | ~ spl13_135 ),
    inference(resolution,[],[f2473,f137]) ).

fof(f2473,plain,
    ( ! [X1] :
        ( ~ equivalence(sK9,X1)
        | ~ member(sK2(sK11,sK8),X1)
        | ~ member(sK3(sK11,sK8),X1) )
    | ~ spl13_135 ),
    inference(avatar_component_clause,[],[f2472]) ).

fof(f2662,plain,
    ( spl13_52
    | spl13_57
    | ~ spl13_56 ),
    inference(avatar_split_clause,[],[f2660,f1254,f1258,f1221]) ).

fof(f1258,plain,
    ( spl13_57
  <=> ! [X0] :
        ( ~ member(sK5(sK11,sK8),X0)
        | ~ equivalence(sK8,X0)
        | ~ member(sK7(sK11,sK8),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_57])]) ).

fof(f1254,plain,
    ( spl13_56
  <=> apply(sK8,sK5(sK11,sK8),sK7(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_56])]) ).

fof(f2660,plain,
    ( ! [X0] :
        ( ~ member(sK7(sK11,sK8),X0)
        | ~ equivalence(sK8,X0)
        | ~ member(sK5(sK11,sK8),X0)
        | apply(sK8,sK7(sK11,sK8),sK5(sK11,sK8)) )
    | ~ spl13_56 ),
    inference(resolution,[],[f1256,f99]) ).

fof(f1256,plain,
    ( apply(sK8,sK5(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_56 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f2537,plain,
    ( ~ spl13_9
    | spl13_144
    | ~ spl13_1
    | ~ spl13_8
    | ~ spl13_128 ),
    inference(avatar_split_clause,[],[f2522,f2441,f436,f130,f2535,f442]) ).

fof(f2535,plain,
    ( spl13_144
  <=> ! [X2] :
        ( ~ member(X2,sK11)
        | apply(sK10,X2,sK2(sK11,sK8))
        | ~ apply(sK10,X2,sK3(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_144])]) ).

fof(f2522,plain,
    ( ! [X2] :
        ( ~ member(X2,sK11)
        | ~ apply(sK10,X2,sK3(sK11,sK8))
        | apply(sK10,X2,sK2(sK11,sK8))
        | ~ member(sK3(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_8
    | ~ spl13_128 ),
    inference(resolution,[],[f2443,f677]) ).

fof(f677,plain,
    ( ! [X3,X4] :
        ( ~ apply(sK10,X3,sK2(sK11,sK8))
        | ~ member(X4,sK11)
        | ~ member(X3,sK11)
        | apply(sK10,X4,sK2(sK11,sK8))
        | ~ apply(sK10,X4,X3) )
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(resolution,[],[f438,f282]) ).

fof(f2533,plain,
    ( ~ spl13_8
    | spl13_143
    | ~ spl13_1
    | ~ spl13_9
    | ~ spl13_128 ),
    inference(avatar_split_clause,[],[f2520,f2441,f442,f130,f2531,f436]) ).

fof(f2531,plain,
    ( spl13_143
  <=> ! [X0] :
        ( member(sK2(sK11,X0),sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X0))
        | member(sK4(sK11,X0),sK11)
        | ~ apply(sK10,sK2(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_143])]) ).

fof(f2520,plain,
    ( ! [X0] :
        ( member(sK2(sK11,X0),sK11)
        | equivalence(X0,sK11)
        | ~ apply(sK10,sK2(sK11,sK8),sK6(sK11,X0))
        | ~ member(sK2(sK11,sK8),sK11)
        | member(sK4(sK11,X0),sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X0)) )
    | ~ spl13_1
    | ~ spl13_9
    | ~ spl13_128 ),
    inference(resolution,[],[f2443,f2369]) ).

fof(f2369,plain,
    ( ! [X10,X9] :
        ( ~ apply(sK10,sK3(sK11,sK8),X9)
        | member(sK2(sK11,X10),sK11)
        | member(sK4(sK11,X10),sK11)
        | ~ apply(sK10,X9,sK6(sK11,X10))
        | ~ member(X9,sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X10))
        | equivalence(X10,sK11) )
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f287]) ).

fof(f2529,plain,
    ( spl13_142
    | ~ spl13_8
    | ~ spl13_1
    | ~ spl13_9
    | ~ spl13_128 ),
    inference(avatar_split_clause,[],[f2521,f2441,f442,f130,f436,f2527]) ).

fof(f2527,plain,
    ( spl13_142
  <=> ! [X1] :
        ( equivalence(X1,sK11)
        | member(sK3(sK11,X1),sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X1))
        | member(sK4(sK11,X1),sK11)
        | ~ apply(sK10,sK2(sK11,sK8),sK6(sK11,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_142])]) ).

fof(f2521,plain,
    ( ! [X1] :
        ( ~ member(sK2(sK11,sK8),sK11)
        | equivalence(X1,sK11)
        | ~ apply(sK10,sK2(sK11,sK8),sK6(sK11,X1))
        | member(sK4(sK11,X1),sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X1))
        | member(sK3(sK11,X1),sK11) )
    | ~ spl13_1
    | ~ spl13_9
    | ~ spl13_128 ),
    inference(resolution,[],[f2443,f2368]) ).

fof(f2368,plain,
    ( ! [X8,X7] :
        ( ~ apply(sK10,sK3(sK11,sK8),X8)
        | ~ member(X8,sK11)
        | equivalence(X7,sK11)
        | ~ apply(sK10,X8,sK6(sK11,X7))
        | member(sK4(sK11,X7),sK11)
        | member(sK3(sK11,X7),sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X7)) )
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f286]) ).

fof(f2519,plain,
    ( ~ spl13_8
    | spl13_141
    | ~ spl13_2
    | ~ spl13_9
    | ~ spl13_126 ),
    inference(avatar_split_clause,[],[f2514,f2420,f442,f135,f2517,f436]) ).

fof(f2517,plain,
    ( spl13_141
  <=> ! [X0] :
        ( member(sK4(sK11,X0),sK11)
        | apply(sK9,sK6(sK11,X0),sK3(sK11,sK8))
        | member(sK3(sK11,X0),sK11)
        | equivalence(X0,sK11)
        | ~ apply(sK9,sK6(sK11,X0),sK2(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_141])]) ).

fof(f2420,plain,
    ( spl13_126
  <=> apply(sK9,sK2(sK11,sK8),sK3(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_126])]) ).

fof(f2514,plain,
    ( ! [X0] :
        ( member(sK4(sK11,X0),sK11)
        | ~ member(sK2(sK11,sK8),sK11)
        | ~ apply(sK9,sK6(sK11,X0),sK2(sK11,sK8))
        | equivalence(X0,sK11)
        | member(sK3(sK11,X0),sK11)
        | apply(sK9,sK6(sK11,X0),sK3(sK11,sK8)) )
    | ~ spl13_2
    | ~ spl13_9
    | ~ spl13_126 ),
    inference(resolution,[],[f2370,f2422]) ).

fof(f2422,plain,
    ( apply(sK9,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_126 ),
    inference(avatar_component_clause,[],[f2420]) ).

fof(f2513,plain,
    ( spl13_140
    | ~ spl13_9
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2505,f442,f130,f442,f2511]) ).

fof(f2511,plain,
    ( spl13_140
  <=> ! [X4,X3] :
        ( apply(sK10,sK3(sK11,sK8),sK6(sK11,X3))
        | member(sK2(sK11,X4),sK11)
        | ~ member(sK6(sK11,X4),sK11)
        | member(sK4(sK11,X3),sK11)
        | member(sK2(sK11,X3),sK11)
        | equivalence(X3,sK11)
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X4))
        | ~ apply(sK10,sK6(sK11,X4),sK6(sK11,X3))
        | member(sK4(sK11,X4),sK11)
        | equivalence(X4,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_140])]) ).

fof(f2505,plain,
    ( ! [X3,X4] :
        ( ~ member(sK3(sK11,sK8),sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X3))
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X4))
        | equivalence(X4,sK11)
        | equivalence(X3,sK11)
        | member(sK2(sK11,X3),sK11)
        | member(sK4(sK11,X4),sK11)
        | ~ apply(sK10,sK6(sK11,X4),sK6(sK11,X3))
        | member(sK4(sK11,X3),sK11)
        | ~ member(sK6(sK11,X4),sK11)
        | member(sK2(sK11,X4),sK11) )
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(resolution,[],[f2369,f157]) ).

fof(f2509,plain,
    ( ~ spl13_9
    | spl13_139
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2504,f442,f130,f2507,f442]) ).

fof(f2507,plain,
    ( spl13_139
  <=> ! [X2,X1] :
        ( apply(sK10,sK3(sK11,sK8),sK6(sK11,X1))
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X2))
        | ~ member(sK6(sK11,X2),sK11)
        | member(sK3(sK11,X2),sK11)
        | member(sK4(sK11,X2),sK11)
        | equivalence(X1,sK11)
        | member(sK4(sK11,X1),sK11)
        | member(sK2(sK11,X1),sK11)
        | equivalence(X2,sK11)
        | ~ apply(sK10,sK6(sK11,X2),sK6(sK11,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_139])]) ).

fof(f2504,plain,
    ( ! [X2,X1] :
        ( apply(sK10,sK3(sK11,sK8),sK6(sK11,X1))
        | ~ apply(sK10,sK6(sK11,X2),sK6(sK11,X1))
        | equivalence(X2,sK11)
        | member(sK2(sK11,X1),sK11)
        | member(sK4(sK11,X1),sK11)
        | equivalence(X1,sK11)
        | member(sK4(sK11,X2),sK11)
        | member(sK3(sK11,X2),sK11)
        | ~ member(sK3(sK11,sK8),sK11)
        | ~ member(sK6(sK11,X2),sK11)
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X2)) )
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(resolution,[],[f2369,f193]) ).

fof(f193,plain,
    ! [X19,X20] :
      ( apply(sK10,X20,sK6(sK11,X19))
      | member(sK4(sK11,X19),sK11)
      | equivalence(X19,sK11)
      | ~ member(X20,sK11)
      | ~ apply(sK8,X20,sK6(sK11,X19))
      | member(sK3(sK11,X19),sK11) ),
    inference(resolution,[],[f95,f109]) ).

fof(f2496,plain,
    ( ~ spl13_9
    | spl13_138
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2488,f442,f130,f2494,f442]) ).

fof(f2494,plain,
    ( spl13_138
  <=> ! [X4,X3] :
        ( member(sK2(sK11,X3),sK11)
        | member(sK4(sK11,X3),sK11)
        | equivalence(X4,sK11)
        | member(sK3(sK11,X4),sK11)
        | ~ apply(sK10,sK6(sK11,X3),sK6(sK11,X4))
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X3))
        | ~ member(sK6(sK11,X3),sK11)
        | equivalence(X3,sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X4))
        | member(sK4(sK11,X4),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_138])]) ).

fof(f2488,plain,
    ( ! [X3,X4] :
        ( member(sK2(sK11,X3),sK11)
        | ~ member(sK3(sK11,sK8),sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X4))
        | equivalence(X3,sK11)
        | ~ member(sK6(sK11,X3),sK11)
        | member(sK4(sK11,X4),sK11)
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X3))
        | ~ apply(sK10,sK6(sK11,X3),sK6(sK11,X4))
        | member(sK3(sK11,X4),sK11)
        | equivalence(X4,sK11)
        | member(sK4(sK11,X3),sK11) )
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(resolution,[],[f2368,f157]) ).

fof(f2492,plain,
    ( spl13_137
    | ~ spl13_9
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2487,f442,f130,f442,f2490]) ).

fof(f2490,plain,
    ( spl13_137
  <=> ! [X2,X1] :
        ( member(sK4(sK11,X1),sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X2))
        | equivalence(X1,sK11)
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X1))
        | member(sK4(sK11,X2),sK11)
        | equivalence(X2,sK11)
        | member(sK3(sK11,X2),sK11)
        | ~ apply(sK10,sK6(sK11,X1),sK6(sK11,X2))
        | member(sK3(sK11,X1),sK11)
        | ~ member(sK6(sK11,X1),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_137])]) ).

fof(f2487,plain,
    ( ! [X2,X1] :
        ( ~ member(sK3(sK11,sK8),sK11)
        | member(sK4(sK11,X1),sK11)
        | ~ member(sK6(sK11,X1),sK11)
        | member(sK3(sK11,X1),sK11)
        | ~ apply(sK10,sK6(sK11,X1),sK6(sK11,X2))
        | member(sK3(sK11,X2),sK11)
        | equivalence(X2,sK11)
        | member(sK4(sK11,X2),sK11)
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X1))
        | equivalence(X1,sK11)
        | apply(sK10,sK3(sK11,sK8),sK6(sK11,X2)) )
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(resolution,[],[f2368,f193]) ).

fof(f2485,plain,
    ( ~ spl13_9
    | spl13_136
    | ~ spl13_2
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2481,f442,f135,f2483,f442]) ).

fof(f2483,plain,
    ( spl13_136
  <=> ! [X2,X1] :
        ( apply(sK9,sK3(sK11,sK8),X2)
        | equivalence(X1,sK11)
        | member(sK4(sK11,X1),sK11)
        | member(sK2(sK11,X1),sK11)
        | ~ member(sK6(sK11,X1),sK11)
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X1))
        | ~ member(X2,sK11)
        | ~ apply(sK9,sK6(sK11,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_136])]) ).

fof(f2481,plain,
    ( ! [X2,X1] :
        ( apply(sK9,sK3(sK11,sK8),X2)
        | ~ apply(sK9,sK6(sK11,X1),X2)
        | ~ member(X2,sK11)
        | ~ apply(sK8,sK3(sK11,sK8),sK6(sK11,X1))
        | ~ member(sK3(sK11,sK8),sK11)
        | ~ member(sK6(sK11,X1),sK11)
        | member(sK2(sK11,X1),sK11)
        | member(sK4(sK11,X1),sK11)
        | equivalence(X1,sK11) )
    | ~ spl13_2
    | ~ spl13_9 ),
    inference(resolution,[],[f2367,f156]) ).

fof(f156,plain,
    ! [X18,X17] :
      ( apply(sK9,X18,sK6(sK11,X17))
      | ~ member(X18,sK11)
      | member(sK4(sK11,X17),sK11)
      | member(sK2(sK11,X17),sK11)
      | equivalence(X17,sK11)
      | ~ apply(sK8,X18,sK6(sK11,X17)) ),
    inference(resolution,[],[f59,f110]) ).

fof(f2474,plain,
    ( spl13_134
    | spl13_135
    | ~ spl13_126 ),
    inference(avatar_split_clause,[],[f2461,f2420,f2472,f2468]) ).

fof(f2461,plain,
    ( ! [X1] :
        ( ~ member(sK3(sK11,sK8),X1)
        | ~ member(sK2(sK11,sK8),X1)
        | apply(sK9,sK3(sK11,sK8),sK2(sK11,sK8))
        | ~ equivalence(sK9,X1) )
    | ~ spl13_126 ),
    inference(resolution,[],[f2422,f99]) ).

fof(f2466,plain,
    ( ~ spl13_9
    | spl13_133
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_126 ),
    inference(avatar_split_clause,[],[f2460,f2420,f436,f135,f2464,f442]) ).

fof(f2464,plain,
    ( spl13_133
  <=> ! [X0] :
        ( apply(sK9,sK2(sK11,sK8),X0)
        | ~ member(X0,sK11)
        | ~ apply(sK9,sK3(sK11,sK8),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_133])]) ).

fof(f2460,plain,
    ( ! [X0] :
        ( apply(sK9,sK2(sK11,sK8),X0)
        | ~ apply(sK9,sK3(sK11,sK8),X0)
        | ~ member(sK3(sK11,sK8),sK11)
        | ~ member(X0,sK11) )
    | ~ spl13_2
    | ~ spl13_8
    | ~ spl13_126 ),
    inference(resolution,[],[f2422,f678]) ).

fof(f678,plain,
    ( ! [X6,X5] :
        ( ~ apply(sK9,sK2(sK11,sK8),X6)
        | ~ apply(sK9,X6,X5)
        | ~ member(X5,sK11)
        | ~ member(X6,sK11)
        | apply(sK9,sK2(sK11,sK8),X5) )
    | ~ spl13_2
    | ~ spl13_8 ),
    inference(resolution,[],[f438,f283]) ).

fof(f2459,plain,
    ( ~ spl13_8
    | spl13_132
    | ~ spl13_1
    | ~ spl13_9
    | ~ spl13_125 ),
    inference(avatar_split_clause,[],[f2436,f2408,f442,f130,f2457,f436]) ).

fof(f2457,plain,
    ( spl13_132
  <=> ! [X2] :
        ( ~ member(X2,sK11)
        | apply(sK10,X2,sK3(sK11,sK8))
        | ~ apply(sK10,X2,sK2(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_132])]) ).

fof(f2408,plain,
    ( spl13_125
  <=> apply(sK10,sK2(sK11,sK8),sK3(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_125])]) ).

fof(f2436,plain,
    ( ! [X2] :
        ( ~ member(X2,sK11)
        | ~ member(sK2(sK11,sK8),sK11)
        | ~ apply(sK10,X2,sK2(sK11,sK8))
        | apply(sK10,X2,sK3(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_9
    | ~ spl13_125 ),
    inference(resolution,[],[f2410,f2366]) ).

fof(f2366,plain,
    ( ! [X3,X4] :
        ( ~ apply(sK10,X3,sK3(sK11,sK8))
        | ~ member(X3,sK11)
        | ~ apply(sK10,X4,X3)
        | apply(sK10,X4,sK3(sK11,sK8))
        | ~ member(X4,sK11) )
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f282]) ).

fof(f2410,plain,
    ( apply(sK10,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_125 ),
    inference(avatar_component_clause,[],[f2408]) ).

fof(f2455,plain,
    ( ~ spl13_9
    | spl13_131
    | ~ spl13_1
    | ~ spl13_8
    | ~ spl13_125 ),
    inference(avatar_split_clause,[],[f2435,f2408,f436,f130,f2453,f442]) ).

fof(f2453,plain,
    ( spl13_131
  <=> ! [X1] :
        ( apply(sK10,sK2(sK11,sK8),sK6(sK11,X1))
        | member(sK3(sK11,X1),sK11)
        | ~ apply(sK10,sK3(sK11,sK8),sK6(sK11,X1))
        | equivalence(X1,sK11)
        | member(sK4(sK11,X1),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_131])]) ).

fof(f2435,plain,
    ( ! [X1] :
        ( apply(sK10,sK2(sK11,sK8),sK6(sK11,X1))
        | member(sK4(sK11,X1),sK11)
        | equivalence(X1,sK11)
        | ~ member(sK3(sK11,sK8),sK11)
        | ~ apply(sK10,sK3(sK11,sK8),sK6(sK11,X1))
        | member(sK3(sK11,X1),sK11) )
    | ~ spl13_1
    | ~ spl13_8
    | ~ spl13_125 ),
    inference(resolution,[],[f2410,f971]) ).

fof(f971,plain,
    ( ! [X3,X4] :
        ( ~ apply(sK10,sK2(sK11,sK8),X4)
        | ~ member(X4,sK11)
        | member(sK4(sK11,X3),sK11)
        | equivalence(X3,sK11)
        | member(sK3(sK11,X3),sK11)
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X3))
        | ~ apply(sK10,X4,sK6(sK11,X3)) )
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(resolution,[],[f286,f438]) ).

fof(f2451,plain,
    ( ~ spl13_9
    | spl13_130
    | ~ spl13_1
    | ~ spl13_8
    | ~ spl13_125 ),
    inference(avatar_split_clause,[],[f2434,f2408,f436,f130,f2449,f442]) ).

fof(f2449,plain,
    ( spl13_130
  <=> ! [X0] :
        ( apply(sK10,sK2(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11)
        | ~ apply(sK10,sK3(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11)
        | member(sK4(sK11,X0),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_130])]) ).

fof(f2434,plain,
    ( ! [X0] :
        ( apply(sK10,sK2(sK11,sK8),sK6(sK11,X0))
        | member(sK4(sK11,X0),sK11)
        | equivalence(X0,sK11)
        | ~ apply(sK10,sK3(sK11,sK8),sK6(sK11,X0))
        | ~ member(sK3(sK11,sK8),sK11)
        | member(sK2(sK11,X0),sK11) )
    | ~ spl13_1
    | ~ spl13_8
    | ~ spl13_125 ),
    inference(resolution,[],[f2410,f985]) ).

fof(f985,plain,
    ( ! [X3,X4] :
        ( ~ apply(sK10,sK2(sK11,sK8),X3)
        | member(sK4(sK11,X4),sK11)
        | ~ apply(sK10,X3,sK6(sK11,X4))
        | ~ member(X3,sK11)
        | member(sK2(sK11,X4),sK11)
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X4))
        | equivalence(X4,sK11) )
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(resolution,[],[f287,f438]) ).

fof(f2447,plain,
    ( spl13_128
    | spl13_129
    | ~ spl13_125 ),
    inference(avatar_split_clause,[],[f2438,f2408,f2445,f2441]) ).

fof(f2438,plain,
    ( ! [X3] :
        ( ~ member(sK3(sK11,sK8),X3)
        | ~ member(sK2(sK11,sK8),X3)
        | ~ equivalence(sK10,X3)
        | apply(sK10,sK3(sK11,sK8),sK2(sK11,sK8)) )
    | ~ spl13_125 ),
    inference(resolution,[],[f2410,f99]) ).

fof(f2432,plain,
    ( ~ spl13_9
    | ~ spl13_124
    | spl13_127
    | ~ spl13_9
    | ~ spl13_123 ),
    inference(avatar_split_clause,[],[f2427,f2373,f442,f2429,f2378,f442]) ).

fof(f2378,plain,
    ( spl13_124
  <=> apply(sK9,sK3(sK11,sK8),sK3(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).

fof(f2429,plain,
    ( spl13_127
  <=> apply(sK8,sK3(sK11,sK8),sK3(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_127])]) ).

fof(f2373,plain,
    ( spl13_123
  <=> apply(sK10,sK3(sK11,sK8),sK3(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_123])]) ).

fof(f2427,plain,
    ( apply(sK8,sK3(sK11,sK8),sK3(sK11,sK8))
    | ~ apply(sK9,sK3(sK11,sK8),sK3(sK11,sK8))
    | ~ member(sK3(sK11,sK8),sK11)
    | ~ spl13_9
    | ~ spl13_123 ),
    inference(resolution,[],[f2363,f2375]) ).

fof(f2375,plain,
    ( apply(sK10,sK3(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_123 ),
    inference(avatar_component_clause,[],[f2373]) ).

fof(f2363,plain,
    ( ! [X2] :
        ( ~ apply(sK10,X2,sK3(sK11,sK8))
        | ~ apply(sK9,X2,sK3(sK11,sK8))
        | ~ member(X2,sK11)
        | apply(sK8,X2,sK3(sK11,sK8)) )
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f111]) ).

fof(f2426,plain,
    ( ~ spl13_8
    | spl13_3
    | spl13_126
    | spl13_5
    | spl13_14
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2416,f442,f601,f424,f2420,f140,f436]) ).

fof(f2416,plain,
    ( member(sK5(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | apply(sK9,sK2(sK11,sK8),sK3(sK11,sK8))
    | equivalence(sK8,sK11)
    | ~ member(sK2(sK11,sK8),sK11)
    | ~ spl13_9 ),
    inference(resolution,[],[f2362,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( apply(X1,sK2(X0,X1),sK3(X0,X1))
      | member(sK5(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2362,plain,
    ( ! [X1] :
        ( ~ apply(sK8,X1,sK3(sK11,sK8))
        | ~ member(X1,sK11)
        | apply(sK9,X1,sK3(sK11,sK8)) )
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f110]) ).

fof(f2425,plain,
    ( spl13_5
    | ~ spl13_8
    | spl13_126
    | spl13_17
    | spl13_3
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2417,f442,f140,f615,f2420,f436,f424]) ).

fof(f2417,plain,
    ( equivalence(sK8,sK11)
    | member(sK7(sK11,sK8),sK11)
    | apply(sK9,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ member(sK2(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_9 ),
    inference(resolution,[],[f2362,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( apply(X1,sK2(X0,X1),sK3(X0,X1))
      | member(sK4(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK7(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2424,plain,
    ( spl13_3
    | spl13_126
    | spl13_5
    | spl13_6
    | ~ spl13_8
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2418,f442,f436,f428,f424,f2420,f140]) ).

fof(f2418,plain,
    ( ~ member(sK2(sK11,sK8),sK11)
    | member(sK6(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | apply(sK9,sK2(sK11,sK8),sK3(sK11,sK8))
    | equivalence(sK8,sK11)
    | ~ spl13_9 ),
    inference(resolution,[],[f2362,f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( apply(X1,sK2(X0,X1),sK3(X0,X1))
      | equivalence(X1,X0)
      | member(sK6(X0,X1),X0)
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2423,plain,
    ( ~ spl13_8
    | spl13_126
    | ~ spl13_7
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2415,f442,f432,f2420,f436]) ).

fof(f2415,plain,
    ( apply(sK9,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ member(sK2(sK11,sK8),sK11)
    | ~ spl13_7
    | ~ spl13_9 ),
    inference(resolution,[],[f2362,f434]) ).

fof(f434,plain,
    ( apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_7 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f2414,plain,
    ( spl13_125
    | ~ spl13_8
    | ~ spl13_7
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2403,f442,f432,f436,f2408]) ).

fof(f2403,plain,
    ( ~ member(sK2(sK11,sK8),sK11)
    | apply(sK10,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_7
    | ~ spl13_9 ),
    inference(resolution,[],[f2361,f434]) ).

fof(f2361,plain,
    ( ! [X0] :
        ( ~ apply(sK8,X0,sK3(sK11,sK8))
        | apply(sK10,X0,sK3(sK11,sK8))
        | ~ member(X0,sK11) )
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f109]) ).

fof(f2413,plain,
    ( ~ spl13_8
    | spl13_5
    | spl13_3
    | spl13_17
    | spl13_125
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2405,f442,f2408,f615,f140,f424,f436]) ).

fof(f2405,plain,
    ( apply(sK10,sK2(sK11,sK8),sK3(sK11,sK8))
    | member(sK7(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ member(sK2(sK11,sK8),sK11)
    | ~ spl13_9 ),
    inference(resolution,[],[f2361,f84]) ).

fof(f2412,plain,
    ( spl13_5
    | spl13_3
    | ~ spl13_8
    | spl13_6
    | spl13_125
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2406,f442,f2408,f428,f436,f140,f424]) ).

fof(f2406,plain,
    ( apply(sK10,sK2(sK11,sK8),sK3(sK11,sK8))
    | member(sK6(sK11,sK8),sK11)
    | ~ member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_9 ),
    inference(resolution,[],[f2361,f83]) ).

fof(f2411,plain,
    ( ~ spl13_8
    | spl13_5
    | spl13_3
    | spl13_125
    | spl13_14
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2404,f442,f601,f2408,f140,f424,f436]) ).

fof(f2404,plain,
    ( member(sK5(sK11,sK8),sK11)
    | apply(sK10,sK2(sK11,sK8),sK3(sK11,sK8))
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ member(sK2(sK11,sK8),sK11)
    | ~ spl13_9 ),
    inference(resolution,[],[f2361,f85]) ).

fof(f2381,plain,
    ( spl13_124
    | ~ spl13_2
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2365,f442,f135,f2378]) ).

fof(f2365,plain,
    ( apply(sK9,sK3(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_2
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f146]) ).

fof(f146,plain,
    ( ! [X1] :
        ( ~ member(X1,sK11)
        | apply(sK9,X1,X1) )
    | ~ spl13_2 ),
    inference(resolution,[],[f98,f137]) ).

fof(f98,plain,
    ! [X0,X1,X7] :
      ( ~ equivalence(X1,X0)
      | ~ member(X7,X0)
      | apply(X1,X7,X7) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2376,plain,
    ( spl13_123
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f2364,f442,f130,f2373]) ).

fof(f2364,plain,
    ( apply(sK10,sK3(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_1
    | ~ spl13_9 ),
    inference(resolution,[],[f444,f145]) ).

fof(f145,plain,
    ( ! [X0] :
        ( ~ member(X0,sK11)
        | apply(sK10,X0,X0) )
    | ~ spl13_1 ),
    inference(resolution,[],[f98,f132]) ).

fof(f2358,plain,
    ( ~ spl13_12
    | spl13_3
    | spl13_9
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f2354,f1221,f442,f140,f566]) ).

fof(f2354,plain,
    ( member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | ~ apply(sK8,sK4(sK11,sK8),sK4(sK11,sK8))
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK7(X0,X1),sK5(X0,X1))
      | member(sK3(X0,X1),X0)
      | ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2321,plain,
    ( ~ spl13_17
    | spl13_49
    | ~ spl13_2
    | ~ spl13_14
    | ~ spl13_46 ),
    inference(avatar_split_clause,[],[f2314,f1161,f601,f135,f1178,f615]) ).

fof(f1178,plain,
    ( spl13_49
  <=> ! [X1] :
        ( ~ member(X1,sK11)
        | apply(sK9,sK5(sK11,sK8),X1)
        | ~ apply(sK9,sK7(sK11,sK8),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).

fof(f2314,plain,
    ( ! [X0] :
        ( ~ apply(sK9,sK7(sK11,sK8),X0)
        | ~ member(X0,sK11)
        | apply(sK9,sK5(sK11,sK8),X0)
        | ~ member(sK7(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_14
    | ~ spl13_46 ),
    inference(resolution,[],[f1163,f698]) ).

fof(f698,plain,
    ( ! [X6,X5] :
        ( ~ apply(sK9,sK5(sK11,sK8),X6)
        | apply(sK9,sK5(sK11,sK8),X5)
        | ~ apply(sK9,X6,X5)
        | ~ member(X5,sK11)
        | ~ member(X6,sK11) )
    | ~ spl13_2
    | ~ spl13_14 ),
    inference(resolution,[],[f603,f283]) ).

fof(f603,plain,
    ( member(sK5(sK11,sK8),sK11)
    | ~ spl13_14 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f2313,plain,
    ( ~ spl13_17
    | spl13_52
    | ~ spl13_47
    | ~ spl13_14
    | ~ spl13_51 ),
    inference(avatar_split_clause,[],[f2210,f1197,f601,f1170,f1221,f615]) ).

fof(f2210,plain,
    ( ~ apply(sK9,sK7(sK11,sK8),sK5(sK11,sK8))
    | apply(sK8,sK7(sK11,sK8),sK5(sK11,sK8))
    | ~ member(sK7(sK11,sK8),sK11)
    | ~ spl13_14
    | ~ spl13_51 ),
    inference(resolution,[],[f1199,f694]) ).

fof(f694,plain,
    ( ! [X2] :
        ( ~ apply(sK10,X2,sK5(sK11,sK8))
        | ~ apply(sK9,X2,sK5(sK11,sK8))
        | ~ member(X2,sK11)
        | apply(sK8,X2,sK5(sK11,sK8)) )
    | ~ spl13_14 ),
    inference(resolution,[],[f603,f111]) ).

fof(f2312,plain,
    ( ~ spl13_46
    | ~ spl13_14
    | spl13_56
    | ~ spl13_17
    | ~ spl13_54 ),
    inference(avatar_split_clause,[],[f2268,f1230,f615,f1254,f601,f1161]) ).

fof(f1230,plain,
    ( spl13_54
  <=> apply(sK10,sK5(sK11,sK8),sK7(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_54])]) ).

fof(f2268,plain,
    ( apply(sK8,sK5(sK11,sK8),sK7(sK11,sK8))
    | ~ member(sK5(sK11,sK8),sK11)
    | ~ apply(sK9,sK5(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_17
    | ~ spl13_54 ),
    inference(resolution,[],[f1232,f720]) ).

fof(f720,plain,
    ( ! [X2] :
        ( ~ apply(sK10,X2,sK7(sK11,sK8))
        | ~ apply(sK9,X2,sK7(sK11,sK8))
        | ~ member(X2,sK11)
        | apply(sK8,X2,sK7(sK11,sK8)) )
    | ~ spl13_17 ),
    inference(resolution,[],[f617,f111]) ).

fof(f617,plain,
    ( member(sK7(sK11,sK8),sK11)
    | ~ spl13_17 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f1232,plain,
    ( apply(sK10,sK5(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_54 ),
    inference(avatar_component_clause,[],[f1230]) ).

fof(f2311,plain,
    ( ~ spl13_14
    | spl13_122
    | ~ spl13_2
    | ~ spl13_14 ),
    inference(avatar_split_clause,[],[f2306,f601,f135,f2309,f601]) ).

fof(f2309,plain,
    ( spl13_122
  <=> ! [X4,X5] :
        ( member(sK2(sK11,X5),sK11)
        | apply(sK9,sK5(sK11,sK8),X4)
        | equivalence(X5,sK11)
        | ~ member(sK6(sK11,X5),sK11)
        | ~ apply(sK9,sK6(sK11,X5),X4)
        | ~ member(X4,sK11)
        | member(sK4(sK11,X5),sK11)
        | ~ apply(sK8,sK5(sK11,sK8),sK6(sK11,X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_122])]) ).

fof(f2306,plain,
    ( ! [X4,X5] :
        ( member(sK2(sK11,X5),sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | ~ apply(sK8,sK5(sK11,sK8),sK6(sK11,X5))
        | member(sK4(sK11,X5),sK11)
        | ~ member(X4,sK11)
        | ~ apply(sK9,sK6(sK11,X5),X4)
        | ~ member(sK6(sK11,X5),sK11)
        | equivalence(X5,sK11)
        | apply(sK9,sK5(sK11,sK8),X4) )
    | ~ spl13_2
    | ~ spl13_14 ),
    inference(resolution,[],[f698,f156]) ).

fof(f2307,plain,
    ( ~ spl13_6
    | spl13_40
    | ~ spl13_2
    | ~ spl13_14
    | ~ spl13_28 ),
    inference(avatar_split_clause,[],[f2305,f738,f601,f135,f1014,f428]) ).

fof(f2305,plain,
    ( ! [X3] :
        ( apply(sK9,sK5(sK11,sK8),X3)
        | ~ apply(sK9,sK6(sK11,sK8),X3)
        | ~ member(sK6(sK11,sK8),sK11)
        | ~ member(X3,sK11) )
    | ~ spl13_2
    | ~ spl13_14
    | ~ spl13_28 ),
    inference(resolution,[],[f698,f740]) ).

fof(f2247,plain,
    ( ~ spl13_17
    | ~ spl13_14
    | ~ spl13_1
    | ~ spl13_55 ),
    inference(avatar_split_clause,[],[f2246,f1234,f130,f601,f615]) ).

fof(f1234,plain,
    ( spl13_55
  <=> ! [X2] :
        ( ~ member(sK5(sK11,sK8),X2)
        | ~ member(sK7(sK11,sK8),X2)
        | ~ equivalence(sK10,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_55])]) ).

fof(f2246,plain,
    ( ~ member(sK5(sK11,sK8),sK11)
    | ~ member(sK7(sK11,sK8),sK11)
    | ~ spl13_1
    | ~ spl13_55 ),
    inference(resolution,[],[f1235,f132]) ).

fof(f1235,plain,
    ( ! [X2] :
        ( ~ equivalence(sK10,X2)
        | ~ member(sK7(sK11,sK8),X2)
        | ~ member(sK5(sK11,sK8),X2) )
    | ~ spl13_55 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f2217,plain,
    ( ~ spl13_17
    | spl13_53
    | ~ spl13_1
    | ~ spl13_14
    | ~ spl13_51 ),
    inference(avatar_split_clause,[],[f2208,f1197,f601,f130,f1226,f615]) ).

fof(f1226,plain,
    ( spl13_53
  <=> ! [X1] :
        ( ~ apply(sK10,X1,sK7(sK11,sK8))
        | apply(sK10,X1,sK5(sK11,sK8))
        | ~ member(X1,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_53])]) ).

fof(f2208,plain,
    ( ! [X4] :
        ( ~ apply(sK10,X4,sK7(sK11,sK8))
        | ~ member(sK7(sK11,sK8),sK11)
        | apply(sK10,X4,sK5(sK11,sK8))
        | ~ member(X4,sK11) )
    | ~ spl13_1
    | ~ spl13_14
    | ~ spl13_51 ),
    inference(resolution,[],[f1199,f697]) ).

fof(f697,plain,
    ( ! [X3,X4] :
        ( ~ apply(sK10,X3,sK5(sK11,sK8))
        | ~ member(X4,sK11)
        | ~ apply(sK10,X4,X3)
        | apply(sK10,X4,sK5(sK11,sK8))
        | ~ member(X3,sK11) )
    | ~ spl13_1
    | ~ spl13_14 ),
    inference(resolution,[],[f603,f282]) ).

fof(f2203,plain,
    ( ~ spl13_6
    | spl13_39
    | ~ spl13_1
    | ~ spl13_14
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f2202,f641,f601,f130,f951,f428]) ).

fof(f2202,plain,
    ( ! [X3] :
        ( ~ apply(sK10,X3,sK6(sK11,sK8))
        | apply(sK10,X3,sK5(sK11,sK8))
        | ~ member(sK6(sK11,sK8),sK11)
        | ~ member(X3,sK11) )
    | ~ spl13_1
    | ~ spl13_14
    | ~ spl13_19 ),
    inference(resolution,[],[f697,f643]) ).

fof(f2168,plain,
    ( ~ spl13_6
    | spl13_121
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f2155,f428,f130,f2166,f428]) ).

fof(f2166,plain,
    ( spl13_121
  <=> ! [X18,X17] :
        ( ~ member(sK7(sK11,X18),sK11)
        | equivalence(X18,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X17))
        | member(sK2(sK11,X18),sK11)
        | apply(sK10,sK7(sK11,X18),sK6(sK11,X17))
        | member(sK4(sK11,X18),sK11)
        | equivalence(X17,sK11)
        | member(sK2(sK11,X17),sK11)
        | member(sK4(sK11,X17),sK11)
        | ~ apply(sK8,sK7(sK11,X18),sK6(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_121])]) ).

fof(f2155,plain,
    ( ! [X18,X17] :
        ( ~ member(sK7(sK11,X18),sK11)
        | ~ apply(sK8,sK7(sK11,X18),sK6(sK11,sK8))
        | equivalence(X17,sK11)
        | member(sK4(sK11,X17),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK4(sK11,X18),sK11)
        | member(sK2(sK11,X17),sK11)
        | apply(sK10,sK7(sK11,X18),sK6(sK11,X17))
        | member(sK2(sK11,X18),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X17))
        | equivalence(X18,sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f994,f653]) ).

fof(f653,plain,
    ( ! [X0] :
        ( apply(sK10,X0,sK6(sK11,sK8))
        | ~ member(X0,sK11)
        | ~ apply(sK8,X0,sK6(sK11,sK8)) )
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f109]) ).

fof(f2164,plain,
    ( ~ spl13_6
    | spl13_120
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f2154,f1456,f130,f2162,f428]) ).

fof(f2162,plain,
    ( spl13_120
  <=> ! [X16,X15] :
        ( equivalence(X16,sK11)
        | member(sK2(sK11,X16),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X15))
        | ~ member(sK7(sK11,X16),sK11)
        | ~ apply(sK10,sK7(sK11,X16),sK5(sK11,sK8))
        | member(sK2(sK11,X15),sK11)
        | apply(sK10,sK7(sK11,X16),sK6(sK11,X15))
        | member(sK4(sK11,X16),sK11)
        | member(sK4(sK11,X15),sK11)
        | equivalence(X15,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_120])]) ).

fof(f1456,plain,
    ( spl13_65
  <=> ! [X0] :
        ( ~ member(X0,sK11)
        | ~ apply(sK10,X0,sK5(sK11,sK8))
        | apply(sK10,X0,sK6(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_65])]) ).

fof(f2154,plain,
    ( ! [X16,X15] :
        ( equivalence(X16,sK11)
        | member(sK4(sK11,X15),sK11)
        | member(sK4(sK11,X16),sK11)
        | equivalence(X15,sK11)
        | apply(sK10,sK7(sK11,X16),sK6(sK11,X15))
        | member(sK2(sK11,X15),sK11)
        | ~ apply(sK10,sK7(sK11,X16),sK5(sK11,sK8))
        | ~ member(sK6(sK11,sK8),sK11)
        | ~ member(sK7(sK11,X16),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X15))
        | member(sK2(sK11,X16),sK11) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f994,f1457]) ).

fof(f1457,plain,
    ( ! [X0] :
        ( apply(sK10,X0,sK6(sK11,sK8))
        | ~ member(X0,sK11)
        | ~ apply(sK10,X0,sK5(sK11,sK8)) )
    | ~ spl13_65 ),
    inference(avatar_component_clause,[],[f1456]) ).

fof(f2140,plain,
    ( ~ spl13_6
    | spl13_119
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f2127,f428,f130,f2138,f428]) ).

fof(f2138,plain,
    ( spl13_119
  <=> ! [X18,X17] :
        ( ~ member(sK7(sK11,X17),sK11)
        | member(sK2(sK11,X18),sK11)
        | equivalence(X18,sK11)
        | member(sK4(sK11,X17),sK11)
        | member(sK4(sK11,X18),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | ~ apply(sK8,sK7(sK11,X17),sK6(sK11,sK8))
        | member(sK3(sK11,X17),sK11)
        | apply(sK10,sK7(sK11,X17),sK6(sK11,X18))
        | equivalence(X17,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_119])]) ).

fof(f2127,plain,
    ( ! [X18,X17] :
        ( ~ member(sK7(sK11,X17),sK11)
        | equivalence(X17,sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | apply(sK10,sK7(sK11,X17),sK6(sK11,X18))
        | member(sK3(sK11,X17),sK11)
        | ~ apply(sK8,sK7(sK11,X17),sK6(sK11,sK8))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | member(sK4(sK11,X18),sK11)
        | member(sK4(sK11,X17),sK11)
        | equivalence(X18,sK11)
        | member(sK2(sK11,X18),sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f993,f653]) ).

fof(f993,plain,
    ( ! [X24,X25,X23] :
        ( ~ apply(sK10,sK7(sK11,X23),X24)
        | ~ member(X24,sK11)
        | member(sK3(sK11,X23),sK11)
        | ~ apply(sK10,X24,sK6(sK11,X25))
        | member(sK4(sK11,X25),sK11)
        | member(sK4(sK11,X23),sK11)
        | equivalence(X25,sK11)
        | equivalence(X23,sK11)
        | member(sK2(sK11,X25),sK11)
        | apply(sK10,sK7(sK11,X23),sK6(sK11,X25)) )
    | ~ spl13_1 ),
    inference(resolution,[],[f287,f96]) ).

fof(f2136,plain,
    ( ~ spl13_6
    | spl13_118
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f2126,f1456,f130,f2134,f428]) ).

fof(f2134,plain,
    ( spl13_118
  <=> ! [X16,X15] :
        ( member(sK4(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | member(sK3(sK11,X15),sK11)
        | member(sK4(sK11,X16),sK11)
        | equivalence(X15,sK11)
        | equivalence(X16,sK11)
        | ~ apply(sK10,sK7(sK11,X15),sK5(sK11,sK8))
        | ~ member(sK7(sK11,X15),sK11)
        | apply(sK10,sK7(sK11,X15),sK6(sK11,X16))
        | member(sK2(sK11,X16),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_118])]) ).

fof(f2126,plain,
    ( ! [X16,X15] :
        ( member(sK4(sK11,X15),sK11)
        | member(sK2(sK11,X16),sK11)
        | apply(sK10,sK7(sK11,X15),sK6(sK11,X16))
        | ~ member(sK7(sK11,X15),sK11)
        | ~ apply(sK10,sK7(sK11,X15),sK5(sK11,sK8))
        | equivalence(X16,sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X15,sK11)
        | member(sK4(sK11,X16),sK11)
        | member(sK3(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16)) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f993,f1457]) ).

fof(f2100,plain,
    ( ~ spl13_6
    | spl13_117
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f2086,f1456,f130,f2098,f428]) ).

fof(f2098,plain,
    ( spl13_117
  <=> ! [X16,X15] :
        ( member(sK4(sK11,X16),sK11)
        | member(sK2(sK11,X15),sK11)
        | equivalence(X15,sK11)
        | ~ apply(sK10,sK6(sK11,X16),sK5(sK11,sK8))
        | member(sK2(sK11,X16),sK11)
        | member(sK4(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X15))
        | ~ member(sK6(sK11,X16),sK11)
        | apply(sK10,sK6(sK11,X16),sK6(sK11,X15))
        | equivalence(X16,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_117])]) ).

fof(f2086,plain,
    ( ! [X16,X15] :
        ( member(sK4(sK11,X16),sK11)
        | equivalence(X16,sK11)
        | apply(sK10,sK6(sK11,X16),sK6(sK11,X15))
        | ~ member(sK6(sK11,X16),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X15))
        | member(sK4(sK11,X15),sK11)
        | member(sK2(sK11,X16),sK11)
        | ~ apply(sK10,sK6(sK11,X16),sK5(sK11,sK8))
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X15,sK11)
        | member(sK2(sK11,X15),sK11) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f990,f1457]) ).

fof(f2096,plain,
    ( spl13_116
    | ~ spl13_6
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f2087,f428,f130,f428,f2094]) ).

fof(f2094,plain,
    ( spl13_116
  <=> ! [X18,X17] :
        ( member(sK4(sK11,X17),sK11)
        | member(sK2(sK11,X18),sK11)
        | equivalence(X17,sK11)
        | member(sK2(sK11,X17),sK11)
        | member(sK4(sK11,X18),sK11)
        | apply(sK10,sK6(sK11,X18),sK6(sK11,X17))
        | ~ apply(sK8,sK6(sK11,X18),sK6(sK11,sK8))
        | ~ member(sK6(sK11,X18),sK11)
        | equivalence(X18,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X17)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_116])]) ).

fof(f2087,plain,
    ( ! [X18,X17] :
        ( ~ member(sK6(sK11,sK8),sK11)
        | member(sK4(sK11,X17),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X17))
        | member(sK4(sK11,X18),sK11)
        | member(sK2(sK11,X17),sK11)
        | equivalence(X18,sK11)
        | equivalence(X17,sK11)
        | ~ member(sK6(sK11,X18),sK11)
        | ~ apply(sK8,sK6(sK11,X18),sK6(sK11,sK8))
        | apply(sK10,sK6(sK11,X18),sK6(sK11,X17))
        | member(sK2(sK11,X18),sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f990,f653]) ).

fof(f2076,plain,
    ( ~ spl13_6
    | spl13_115
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f2063,f428,f130,f2074,f428]) ).

fof(f2074,plain,
    ( spl13_115
  <=> ! [X18,X17] :
        ( apply(sK10,sK6(sK11,X17),sK6(sK11,X18))
        | member(sK3(sK11,X17),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | member(sK4(sK11,X17),sK11)
        | ~ member(sK6(sK11,X17),sK11)
        | equivalence(X18,sK11)
        | equivalence(X17,sK11)
        | ~ apply(sK8,sK6(sK11,X17),sK6(sK11,sK8))
        | member(sK4(sK11,X18),sK11)
        | member(sK2(sK11,X18),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_115])]) ).

fof(f2063,plain,
    ( ! [X18,X17] :
        ( apply(sK10,sK6(sK11,X17),sK6(sK11,X18))
        | member(sK2(sK11,X18),sK11)
        | member(sK4(sK11,X18),sK11)
        | ~ apply(sK8,sK6(sK11,X17),sK6(sK11,sK8))
        | equivalence(X17,sK11)
        | equivalence(X18,sK11)
        | ~ member(sK6(sK11,X17),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK4(sK11,X17),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | member(sK3(sK11,X17),sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f989,f653]) ).

fof(f989,plain,
    ( ! [X14,X15,X13] :
        ( ~ apply(sK10,sK6(sK11,X13),X14)
        | member(sK3(sK11,X13),sK11)
        | member(sK4(sK11,X15),sK11)
        | member(sK2(sK11,X15),sK11)
        | equivalence(X13,sK11)
        | member(sK4(sK11,X13),sK11)
        | equivalence(X15,sK11)
        | ~ apply(sK10,X14,sK6(sK11,X15))
        | ~ member(X14,sK11)
        | apply(sK10,sK6(sK11,X13),sK6(sK11,X15)) )
    | ~ spl13_1 ),
    inference(resolution,[],[f287,f95]) ).

fof(f2072,plain,
    ( ~ spl13_6
    | spl13_114
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f2062,f1456,f130,f2070,f428]) ).

fof(f2070,plain,
    ( spl13_114
  <=> ! [X16,X15] :
        ( ~ member(sK6(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | member(sK4(sK11,X16),sK11)
        | equivalence(X15,sK11)
        | member(sK2(sK11,X16),sK11)
        | member(sK3(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,X15),sK5(sK11,sK8))
        | apply(sK10,sK6(sK11,X15),sK6(sK11,X16))
        | member(sK4(sK11,X15),sK11)
        | equivalence(X16,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_114])]) ).

fof(f2062,plain,
    ( ! [X16,X15] :
        ( ~ member(sK6(sK11,X15),sK11)
        | equivalence(X16,sK11)
        | member(sK4(sK11,X15),sK11)
        | apply(sK10,sK6(sK11,X15),sK6(sK11,X16))
        | ~ apply(sK10,sK6(sK11,X15),sK5(sK11,sK8))
        | member(sK3(sK11,X15),sK11)
        | member(sK2(sK11,X16),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X15,sK11)
        | member(sK4(sK11,X16),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16)) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f989,f1457]) ).

fof(f2052,plain,
    ( ~ spl13_6
    | spl13_113
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f2039,f428,f130,f2050,f428]) ).

fof(f2050,plain,
    ( spl13_113
  <=> ! [X18,X17] :
        ( equivalence(X17,sK11)
        | apply(sK10,sK5(sK11,X17),sK6(sK11,X18))
        | ~ apply(sK8,sK5(sK11,X17),sK6(sK11,sK8))
        | member(sK2(sK11,X17),sK11)
        | member(sK4(sK11,X17),sK11)
        | member(sK2(sK11,X18),sK11)
        | member(sK4(sK11,X18),sK11)
        | equivalence(X18,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | ~ member(sK5(sK11,X17),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_113])]) ).

fof(f2039,plain,
    ( ! [X18,X17] :
        ( equivalence(X17,sK11)
        | ~ member(sK5(sK11,X17),sK11)
        | member(sK2(sK11,X18),sK11)
        | member(sK4(sK11,X17),sK11)
        | member(sK2(sK11,X17),sK11)
        | ~ apply(sK8,sK5(sK11,X17),sK6(sK11,sK8))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | equivalence(X18,sK11)
        | member(sK4(sK11,X18),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | apply(sK10,sK5(sK11,X17),sK6(sK11,X18)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f987,f653]) ).

fof(f2048,plain,
    ( ~ spl13_6
    | spl13_112
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f2038,f1456,f130,f2046,f428]) ).

fof(f2046,plain,
    ( spl13_112
  <=> ! [X16,X15] :
        ( member(sK4(sK11,X15),sK11)
        | member(sK2(sK11,X16),sK11)
        | equivalence(X16,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | equivalence(X15,sK11)
        | member(sK4(sK11,X16),sK11)
        | member(sK2(sK11,X15),sK11)
        | ~ apply(sK10,sK5(sK11,X15),sK5(sK11,sK8))
        | ~ member(sK5(sK11,X15),sK11)
        | apply(sK10,sK5(sK11,X15),sK6(sK11,X16)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_112])]) ).

fof(f2038,plain,
    ( ! [X16,X15] :
        ( member(sK4(sK11,X15),sK11)
        | apply(sK10,sK5(sK11,X15),sK6(sK11,X16))
        | ~ member(sK5(sK11,X15),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | ~ apply(sK10,sK5(sK11,X15),sK5(sK11,sK8))
        | member(sK2(sK11,X15),sK11)
        | member(sK4(sK11,X16),sK11)
        | equivalence(X15,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | equivalence(X16,sK11)
        | member(sK2(sK11,X16),sK11) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f987,f1457]) ).

fof(f2020,plain,
    ( ~ spl13_6
    | spl13_111
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f2007,f428,f130,f2018,f428]) ).

fof(f2018,plain,
    ( spl13_111
  <=> ! [X18,X17] :
        ( member(sK4(sK11,X18),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | ~ apply(sK8,sK5(sK11,X17),sK6(sK11,sK8))
        | member(sK2(sK11,X18),sK11)
        | member(sK3(sK11,X17),sK11)
        | equivalence(X17,sK11)
        | ~ member(sK5(sK11,X17),sK11)
        | member(sK4(sK11,X17),sK11)
        | equivalence(X18,sK11)
        | apply(sK10,sK5(sK11,X17),sK6(sK11,X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_111])]) ).

fof(f2007,plain,
    ( ! [X18,X17] :
        ( member(sK4(sK11,X18),sK11)
        | apply(sK10,sK5(sK11,X17),sK6(sK11,X18))
        | equivalence(X18,sK11)
        | member(sK4(sK11,X17),sK11)
        | ~ member(sK5(sK11,X17),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X17,sK11)
        | member(sK3(sK11,X17),sK11)
        | member(sK2(sK11,X18),sK11)
        | ~ apply(sK8,sK5(sK11,X17),sK6(sK11,sK8))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f986,f653]) ).

fof(f986,plain,
    ( ! [X6,X7,X5] :
        ( ~ apply(sK10,sK5(sK11,X5),X6)
        | member(sK3(sK11,X5),sK11)
        | member(sK4(sK11,X7),sK11)
        | member(sK4(sK11,X5),sK11)
        | equivalence(X5,sK11)
        | equivalence(X7,sK11)
        | ~ member(X6,sK11)
        | member(sK2(sK11,X7),sK11)
        | apply(sK10,sK5(sK11,X5),sK6(sK11,X7))
        | ~ apply(sK10,X6,sK6(sK11,X7)) )
    | ~ spl13_1 ),
    inference(resolution,[],[f287,f97]) ).

fof(f2016,plain,
    ( ~ spl13_6
    | spl13_110
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f2006,f1456,f130,f2014,f428]) ).

fof(f2014,plain,
    ( spl13_110
  <=> ! [X16,X15] :
        ( member(sK3(sK11,X15),sK11)
        | ~ apply(sK10,sK5(sK11,X15),sK5(sK11,sK8))
        | member(sK4(sK11,X16),sK11)
        | equivalence(X16,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | apply(sK10,sK5(sK11,X15),sK6(sK11,X16))
        | equivalence(X15,sK11)
        | member(sK4(sK11,X15),sK11)
        | member(sK2(sK11,X16),sK11)
        | ~ member(sK5(sK11,X15),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_110])]) ).

fof(f2006,plain,
    ( ! [X16,X15] :
        ( member(sK3(sK11,X15),sK11)
        | ~ member(sK5(sK11,X15),sK11)
        | member(sK2(sK11,X16),sK11)
        | member(sK4(sK11,X15),sK11)
        | equivalence(X15,sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | apply(sK10,sK5(sK11,X15),sK6(sK11,X16))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | equivalence(X16,sK11)
        | member(sK4(sK11,X16),sK11)
        | ~ apply(sK10,sK5(sK11,X15),sK5(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f986,f1457]) ).

fof(f1996,plain,
    ( ~ spl13_6
    | spl13_109
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1983,f428,f130,f1994,f428]) ).

fof(f1994,plain,
    ( spl13_109
  <=> ! [X18,X17] :
        ( ~ apply(sK8,sK7(sK11,X17),sK6(sK11,sK8))
        | equivalence(X17,sK11)
        | member(sK2(sK11,X17),sK11)
        | member(sK4(sK11,X18),sK11)
        | ~ member(sK7(sK11,X17),sK11)
        | apply(sK10,sK7(sK11,X17),sK6(sK11,X18))
        | member(sK4(sK11,X17),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | equivalence(X18,sK11)
        | member(sK3(sK11,X18),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_109])]) ).

fof(f1983,plain,
    ( ! [X18,X17] :
        ( ~ apply(sK8,sK7(sK11,X17),sK6(sK11,sK8))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | member(sK4(sK11,X17),sK11)
        | member(sK3(sK11,X18),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X18,sK11)
        | apply(sK10,sK7(sK11,X17),sK6(sK11,X18))
        | ~ member(sK7(sK11,X17),sK11)
        | member(sK4(sK11,X18),sK11)
        | member(sK2(sK11,X17),sK11)
        | equivalence(X17,sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f980,f653]) ).

fof(f1992,plain,
    ( ~ spl13_6
    | spl13_108
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f1982,f1456,f130,f1990,f428]) ).

fof(f1990,plain,
    ( spl13_108
  <=> ! [X16,X15] :
        ( equivalence(X15,sK11)
        | ~ apply(sK10,sK7(sK11,X15),sK5(sK11,sK8))
        | ~ member(sK7(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | member(sK4(sK11,X15),sK11)
        | member(sK3(sK11,X16),sK11)
        | member(sK2(sK11,X15),sK11)
        | member(sK4(sK11,X16),sK11)
        | equivalence(X16,sK11)
        | apply(sK10,sK7(sK11,X15),sK6(sK11,X16)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_108])]) ).

fof(f1982,plain,
    ( ! [X16,X15] :
        ( equivalence(X15,sK11)
        | apply(sK10,sK7(sK11,X15),sK6(sK11,X16))
        | equivalence(X16,sK11)
        | member(sK4(sK11,X16),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK2(sK11,X15),sK11)
        | member(sK3(sK11,X16),sK11)
        | member(sK4(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | ~ member(sK7(sK11,X15),sK11)
        | ~ apply(sK10,sK7(sK11,X15),sK5(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f980,f1457]) ).

fof(f1972,plain,
    ( ~ spl13_6
    | ~ spl13_17
    | ~ spl13_1
    | ~ spl13_95 ),
    inference(avatar_split_clause,[],[f1971,f1816,f130,f615,f428]) ).

fof(f1816,plain,
    ( spl13_95
  <=> ! [X1] :
        ( ~ member(sK6(sK11,sK8),X1)
        | ~ equivalence(sK10,X1)
        | ~ member(sK7(sK11,sK8),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_95])]) ).

fof(f1971,plain,
    ( ~ member(sK7(sK11,sK8),sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | ~ spl13_1
    | ~ spl13_95 ),
    inference(resolution,[],[f1817,f132]) ).

fof(f1817,plain,
    ( ! [X1] :
        ( ~ equivalence(sK10,X1)
        | ~ member(sK6(sK11,sK8),X1)
        | ~ member(sK7(sK11,sK8),X1) )
    | ~ spl13_95 ),
    inference(avatar_component_clause,[],[f1816]) ).

fof(f1970,plain,
    ( ~ spl13_6
    | spl13_107
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f1956,f1456,f130,f1968,f428]) ).

fof(f1968,plain,
    ( spl13_107
  <=> ! [X16,X15] :
        ( member(sK4(sK11,X15),sK11)
        | member(sK3(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X15))
        | ~ apply(sK10,sK7(sK11,X16),sK5(sK11,sK8))
        | equivalence(X16,sK11)
        | member(sK4(sK11,X16),sK11)
        | equivalence(X15,sK11)
        | ~ member(sK7(sK11,X16),sK11)
        | member(sK3(sK11,X16),sK11)
        | apply(sK10,sK7(sK11,X16),sK6(sK11,X15)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_107])]) ).

fof(f1956,plain,
    ( ! [X16,X15] :
        ( member(sK4(sK11,X15),sK11)
        | apply(sK10,sK7(sK11,X16),sK6(sK11,X15))
        | member(sK3(sK11,X16),sK11)
        | ~ member(sK7(sK11,X16),sK11)
        | equivalence(X15,sK11)
        | member(sK4(sK11,X16),sK11)
        | equivalence(X16,sK11)
        | ~ apply(sK10,sK7(sK11,X16),sK5(sK11,sK8))
        | ~ member(sK6(sK11,sK8),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X15))
        | member(sK3(sK11,X15),sK11) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f979,f1457]) ).

fof(f979,plain,
    ( ! [X24,X25,X23] :
        ( ~ apply(sK10,sK7(sK11,X23),X25)
        | equivalence(X24,sK11)
        | apply(sK10,sK7(sK11,X23),sK6(sK11,X24))
        | equivalence(X23,sK11)
        | member(sK3(sK11,X24),sK11)
        | ~ apply(sK10,X25,sK6(sK11,X24))
        | member(sK4(sK11,X24),sK11)
        | member(sK4(sK11,X23),sK11)
        | member(sK3(sK11,X23),sK11)
        | ~ member(X25,sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f286,f96]) ).

fof(f1966,plain,
    ( spl13_106
    | ~ spl13_6
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1957,f428,f130,f428,f1964]) ).

fof(f1964,plain,
    ( spl13_106
  <=> ! [X18,X17] :
        ( equivalence(X18,sK11)
        | member(sK3(sK11,X18),sK11)
        | member(sK4(sK11,X18),sK11)
        | apply(sK10,sK7(sK11,X18),sK6(sK11,X17))
        | ~ member(sK7(sK11,X18),sK11)
        | ~ apply(sK8,sK7(sK11,X18),sK6(sK11,sK8))
        | member(sK3(sK11,X17),sK11)
        | equivalence(X17,sK11)
        | member(sK4(sK11,X17),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X17)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_106])]) ).

fof(f1957,plain,
    ( ! [X18,X17] :
        ( ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X18,sK11)
        | member(sK3(sK11,X17),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X17))
        | member(sK4(sK11,X17),sK11)
        | ~ apply(sK8,sK7(sK11,X18),sK6(sK11,sK8))
        | ~ member(sK7(sK11,X18),sK11)
        | equivalence(X17,sK11)
        | apply(sK10,sK7(sK11,X18),sK6(sK11,X17))
        | member(sK4(sK11,X18),sK11)
        | member(sK3(sK11,X18),sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f979,f653]) ).

fof(f1946,plain,
    ( ~ spl13_6
    | spl13_105
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f1932,f1456,f130,f1944,f428]) ).

fof(f1944,plain,
    ( spl13_105
  <=> ! [X16,X15] :
        ( apply(sK10,sK6(sK11,X15),sK6(sK11,X16))
        | member(sK3(sK11,X16),sK11)
        | member(sK2(sK11,X15),sK11)
        | equivalence(X16,sK11)
        | member(sK4(sK11,X16),sK11)
        | member(sK4(sK11,X15),sK11)
        | ~ member(sK6(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,X15),sK5(sK11,sK8))
        | equivalence(X15,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_105])]) ).

fof(f1932,plain,
    ( ! [X16,X15] :
        ( apply(sK10,sK6(sK11,X15),sK6(sK11,X16))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | equivalence(X15,sK11)
        | ~ apply(sK10,sK6(sK11,X15),sK5(sK11,sK8))
        | ~ member(sK6(sK11,sK8),sK11)
        | ~ member(sK6(sK11,X15),sK11)
        | member(sK4(sK11,X15),sK11)
        | member(sK4(sK11,X16),sK11)
        | equivalence(X16,sK11)
        | member(sK2(sK11,X15),sK11)
        | member(sK3(sK11,X16),sK11) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f976,f1457]) ).

fof(f1942,plain,
    ( ~ spl13_6
    | spl13_104
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1933,f428,f130,f1940,f428]) ).

fof(f1940,plain,
    ( spl13_104
  <=> ! [X18,X17] :
        ( member(sK4(sK11,X17),sK11)
        | member(sK2(sK11,X17),sK11)
        | equivalence(X18,sK11)
        | member(sK4(sK11,X18),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | member(sK3(sK11,X18),sK11)
        | apply(sK10,sK6(sK11,X17),sK6(sK11,X18))
        | ~ member(sK6(sK11,X17),sK11)
        | equivalence(X17,sK11)
        | ~ apply(sK8,sK6(sK11,X17),sK6(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_104])]) ).

fof(f1933,plain,
    ( ! [X18,X17] :
        ( member(sK4(sK11,X17),sK11)
        | ~ apply(sK8,sK6(sK11,X17),sK6(sK11,sK8))
        | equivalence(X17,sK11)
        | ~ member(sK6(sK11,X17),sK11)
        | apply(sK10,sK6(sK11,X17),sK6(sK11,X18))
        | member(sK3(sK11,X18),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK4(sK11,X18),sK11)
        | equivalence(X18,sK11)
        | member(sK2(sK11,X17),sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f976,f653]) ).

fof(f1922,plain,
    ( ~ spl13_6
    | spl13_103
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f1908,f1456,f130,f1920,f428]) ).

fof(f1920,plain,
    ( spl13_103
  <=> ! [X16,X15] :
        ( ~ member(sK6(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,X15),sK5(sK11,sK8))
        | member(sK4(sK11,X15),sK11)
        | member(sK3(sK11,X16),sK11)
        | member(sK4(sK11,X16),sK11)
        | member(sK3(sK11,X15),sK11)
        | equivalence(X15,sK11)
        | equivalence(X16,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | apply(sK10,sK6(sK11,X15),sK6(sK11,X16)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_103])]) ).

fof(f1908,plain,
    ( ! [X16,X15] :
        ( ~ member(sK6(sK11,X15),sK11)
        | apply(sK10,sK6(sK11,X15),sK6(sK11,X16))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | equivalence(X16,sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X15,sK11)
        | member(sK3(sK11,X15),sK11)
        | member(sK4(sK11,X16),sK11)
        | member(sK3(sK11,X16),sK11)
        | member(sK4(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,X15),sK5(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f975,f1457]) ).

fof(f975,plain,
    ( ! [X14,X15,X13] :
        ( ~ apply(sK10,sK6(sK11,X13),X15)
        | member(sK4(sK11,X13),sK11)
        | member(sK4(sK11,X14),sK11)
        | member(sK3(sK11,X13),sK11)
        | ~ member(X15,sK11)
        | equivalence(X14,sK11)
        | ~ apply(sK10,X15,sK6(sK11,X14))
        | member(sK3(sK11,X14),sK11)
        | equivalence(X13,sK11)
        | apply(sK10,sK6(sK11,X13),sK6(sK11,X14)) )
    | ~ spl13_1 ),
    inference(resolution,[],[f286,f95]) ).

fof(f1918,plain,
    ( ~ spl13_6
    | spl13_102
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1909,f428,f130,f1916,f428]) ).

fof(f1916,plain,
    ( spl13_102
  <=> ! [X18,X17] :
        ( ~ apply(sK8,sK6(sK11,X17),sK6(sK11,sK8))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | member(sK3(sK11,X17),sK11)
        | equivalence(X18,sK11)
        | member(sK4(sK11,X17),sK11)
        | member(sK4(sK11,X18),sK11)
        | ~ member(sK6(sK11,X17),sK11)
        | equivalence(X17,sK11)
        | member(sK3(sK11,X18),sK11)
        | apply(sK10,sK6(sK11,X17),sK6(sK11,X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_102])]) ).

fof(f1909,plain,
    ( ! [X18,X17] :
        ( ~ apply(sK8,sK6(sK11,X17),sK6(sK11,sK8))
        | apply(sK10,sK6(sK11,X17),sK6(sK11,X18))
        | member(sK3(sK11,X18),sK11)
        | equivalence(X17,sK11)
        | ~ member(sK6(sK11,X17),sK11)
        | member(sK4(sK11,X18),sK11)
        | member(sK4(sK11,X17),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X18,sK11)
        | member(sK3(sK11,X17),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f975,f653]) ).

fof(f1898,plain,
    ( ~ spl13_17
    | spl13_101
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_94 ),
    inference(avatar_split_clause,[],[f1881,f1812,f428,f130,f1896,f615]) ).

fof(f1896,plain,
    ( spl13_101
  <=> ! [X1] :
        ( member(sK4(sK11,X1),sK11)
        | member(sK3(sK11,X1),sK11)
        | ~ apply(sK10,sK7(sK11,sK8),sK6(sK11,X1))
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X1))
        | equivalence(X1,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_101])]) ).

fof(f1812,plain,
    ( spl13_94
  <=> apply(sK10,sK6(sK11,sK8),sK7(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_94])]) ).

fof(f1881,plain,
    ( ! [X1] :
        ( member(sK4(sK11,X1),sK11)
        | equivalence(X1,sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X1))
        | ~ member(sK7(sK11,sK8),sK11)
        | ~ apply(sK10,sK7(sK11,sK8),sK6(sK11,X1))
        | member(sK3(sK11,X1),sK11) )
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_94 ),
    inference(resolution,[],[f1814,f977]) ).

fof(f977,plain,
    ( ! [X19,X20] :
        ( ~ apply(sK10,sK6(sK11,sK8),X20)
        | member(sK4(sK11,X19),sK11)
        | ~ apply(sK10,X20,sK6(sK11,X19))
        | member(sK3(sK11,X19),sK11)
        | ~ member(X20,sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X19))
        | equivalence(X19,sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f286,f429]) ).

fof(f1814,plain,
    ( apply(sK10,sK6(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_94 ),
    inference(avatar_component_clause,[],[f1812]) ).

fof(f1894,plain,
    ( spl13_37
    | ~ spl13_6
    | ~ spl13_31
    | ~ spl13_17
    | ~ spl13_94 ),
    inference(avatar_split_clause,[],[f1883,f1812,f615,f756,f428,f844]) ).

fof(f1883,plain,
    ( ~ apply(sK9,sK6(sK11,sK8),sK7(sK11,sK8))
    | ~ member(sK6(sK11,sK8),sK11)
    | apply(sK8,sK6(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_17
    | ~ spl13_94 ),
    inference(resolution,[],[f1814,f720]) ).

fof(f1893,plain,
    ( spl13_100
    | ~ spl13_17
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_94 ),
    inference(avatar_split_clause,[],[f1880,f1812,f428,f130,f615,f1891]) ).

fof(f1891,plain,
    ( spl13_100
  <=> ! [X0] :
        ( apply(sK10,sK6(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11)
        | ~ apply(sK10,sK7(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11)
        | member(sK4(sK11,X0),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).

fof(f1880,plain,
    ( ! [X0] :
        ( ~ member(sK7(sK11,sK8),sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X0))
        | member(sK4(sK11,X0),sK11)
        | member(sK2(sK11,X0),sK11)
        | ~ apply(sK10,sK7(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11) )
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_94 ),
    inference(resolution,[],[f1814,f991]) ).

fof(f991,plain,
    ( ! [X19,X20] :
        ( ~ apply(sK10,sK6(sK11,sK8),X19)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X20))
        | member(sK2(sK11,X20),sK11)
        | ~ apply(sK10,X19,sK6(sK11,X20))
        | equivalence(X20,sK11)
        | ~ member(X19,sK11)
        | member(sK4(sK11,X20),sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f287,f429]) ).

fof(f1879,plain,
    ( ~ spl13_6
    | spl13_99
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1866,f428,f130,f1877,f428]) ).

fof(f1877,plain,
    ( spl13_99
  <=> ! [X18,X17] :
        ( member(sK4(sK11,X18),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | equivalence(X18,sK11)
        | member(sK3(sK11,X18),sK11)
        | member(sK2(sK11,X17),sK11)
        | apply(sK10,sK5(sK11,X17),sK6(sK11,X18))
        | member(sK4(sK11,X17),sK11)
        | ~ apply(sK8,sK5(sK11,X17),sK6(sK11,sK8))
        | ~ member(sK5(sK11,X17),sK11)
        | equivalence(X17,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).

fof(f1866,plain,
    ( ! [X18,X17] :
        ( member(sK4(sK11,X18),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK2(sK11,X17),sK11)
        | member(sK3(sK11,X18),sK11)
        | equivalence(X17,sK11)
        | ~ member(sK5(sK11,X17),sK11)
        | ~ apply(sK8,sK5(sK11,X17),sK6(sK11,sK8))
        | equivalence(X18,sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | member(sK4(sK11,X17),sK11)
        | apply(sK10,sK5(sK11,X17),sK6(sK11,X18)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f973,f653]) ).

fof(f1875,plain,
    ( ~ spl13_6
    | spl13_98
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f1865,f1456,f130,f1873,f428]) ).

fof(f1873,plain,
    ( spl13_98
  <=> ! [X16,X15] :
        ( member(sK2(sK11,X15),sK11)
        | member(sK4(sK11,X15),sK11)
        | member(sK3(sK11,X16),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | ~ member(sK5(sK11,X15),sK11)
        | equivalence(X15,sK11)
        | ~ apply(sK10,sK5(sK11,X15),sK5(sK11,sK8))
        | member(sK4(sK11,X16),sK11)
        | equivalence(X16,sK11)
        | apply(sK10,sK5(sK11,X15),sK6(sK11,X16)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_98])]) ).

fof(f1865,plain,
    ( ! [X16,X15] :
        ( member(sK2(sK11,X15),sK11)
        | apply(sK10,sK5(sK11,X15),sK6(sK11,X16))
        | equivalence(X16,sK11)
        | member(sK4(sK11,X16),sK11)
        | ~ apply(sK10,sK5(sK11,X15),sK5(sK11,sK8))
        | equivalence(X15,sK11)
        | ~ member(sK5(sK11,X15),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | member(sK3(sK11,X16),sK11)
        | member(sK4(sK11,X15),sK11)
        | ~ member(sK6(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f973,f1457]) ).

fof(f1855,plain,
    ( ~ spl13_6
    | spl13_97
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1842,f428,f130,f1853,f428]) ).

fof(f1853,plain,
    ( spl13_97
  <=> ! [X18,X17] :
        ( member(sK3(sK11,X17),sK11)
        | apply(sK10,sK5(sK11,X17),sK6(sK11,X18))
        | equivalence(X17,sK11)
        | member(sK4(sK11,X17),sK11)
        | ~ member(sK5(sK11,X17),sK11)
        | ~ apply(sK8,sK5(sK11,X17),sK6(sK11,sK8))
        | equivalence(X18,sK11)
        | member(sK3(sK11,X18),sK11)
        | member(sK4(sK11,X18),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_97])]) ).

fof(f1842,plain,
    ( ! [X18,X17] :
        ( member(sK3(sK11,X17),sK11)
        | equivalence(X18,sK11)
        | ~ apply(sK8,sK5(sK11,X17),sK6(sK11,sK8))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X18))
        | ~ member(sK5(sK11,X17),sK11)
        | member(sK4(sK11,X17),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK4(sK11,X18),sK11)
        | equivalence(X17,sK11)
        | member(sK3(sK11,X18),sK11)
        | apply(sK10,sK5(sK11,X17),sK6(sK11,X18)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f972,f653]) ).

fof(f972,plain,
    ( ! [X6,X7,X5] :
        ( ~ apply(sK10,sK5(sK11,X5),X7)
        | apply(sK10,sK5(sK11,X5),sK6(sK11,X6))
        | member(sK4(sK11,X6),sK11)
        | ~ apply(sK10,X7,sK6(sK11,X6))
        | member(sK4(sK11,X5),sK11)
        | member(sK3(sK11,X6),sK11)
        | member(sK3(sK11,X5),sK11)
        | equivalence(X5,sK11)
        | ~ member(X7,sK11)
        | equivalence(X6,sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f286,f97]) ).

fof(f1851,plain,
    ( ~ spl13_6
    | spl13_96
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f1841,f1456,f130,f1849,f428]) ).

fof(f1849,plain,
    ( spl13_96
  <=> ! [X16,X15] :
        ( ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | member(sK3(sK11,X16),sK11)
        | member(sK4(sK11,X15),sK11)
        | member(sK3(sK11,X15),sK11)
        | equivalence(X16,sK11)
        | equivalence(X15,sK11)
        | ~ apply(sK10,sK5(sK11,X15),sK5(sK11,sK8))
        | apply(sK10,sK5(sK11,X15),sK6(sK11,X16))
        | ~ member(sK5(sK11,X15),sK11)
        | member(sK4(sK11,X16),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).

fof(f1841,plain,
    ( ! [X16,X15] :
        ( ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X16))
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK4(sK11,X16),sK11)
        | ~ apply(sK10,sK5(sK11,X15),sK5(sK11,sK8))
        | ~ member(sK5(sK11,X15),sK11)
        | apply(sK10,sK5(sK11,X15),sK6(sK11,X16))
        | equivalence(X15,sK11)
        | equivalence(X16,sK11)
        | member(sK3(sK11,X15),sK11)
        | member(sK4(sK11,X15),sK11)
        | member(sK3(sK11,X16),sK11) )
    | ~ spl13_1
    | ~ spl13_65 ),
    inference(resolution,[],[f972,f1457]) ).

fof(f1818,plain,
    ( spl13_94
    | spl13_95
    | ~ spl13_93 ),
    inference(avatar_split_clause,[],[f1809,f1804,f1816,f1812]) ).

fof(f1809,plain,
    ( ! [X1] :
        ( ~ member(sK6(sK11,sK8),X1)
        | apply(sK10,sK6(sK11,sK8),sK7(sK11,sK8))
        | ~ member(sK7(sK11,sK8),X1)
        | ~ equivalence(sK10,X1) )
    | ~ spl13_93 ),
    inference(resolution,[],[f1806,f99]) ).

fof(f1806,plain,
    ( apply(sK10,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_93 ),
    inference(avatar_component_clause,[],[f1804]) ).

fof(f1807,plain,
    ( spl13_93
    | ~ spl13_17
    | ~ spl13_26
    | ~ spl13_92 ),
    inference(avatar_split_clause,[],[f1802,f1788,f726,f615,f1804]) ).

fof(f726,plain,
    ( spl13_26
  <=> apply(sK10,sK7(sK11,sK8),sK7(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).

fof(f1788,plain,
    ( spl13_92
  <=> ! [X5] :
        ( ~ member(X5,sK11)
        | apply(sK10,X5,sK6(sK11,sK8))
        | ~ apply(sK10,X5,sK7(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).

fof(f1802,plain,
    ( ~ member(sK7(sK11,sK8),sK11)
    | apply(sK10,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_26
    | ~ spl13_92 ),
    inference(resolution,[],[f1789,f728]) ).

fof(f728,plain,
    ( apply(sK10,sK7(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_26 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f1789,plain,
    ( ! [X5] :
        ( ~ apply(sK10,X5,sK7(sK11,sK8))
        | ~ member(X5,sK11)
        | apply(sK10,X5,sK6(sK11,sK8)) )
    | ~ spl13_92 ),
    inference(avatar_component_clause,[],[f1788]) ).

fof(f1790,plain,
    ( ~ spl13_17
    | spl13_92
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_16 ),
    inference(avatar_split_clause,[],[f1786,f610,f428,f130,f1788,f615]) ).

fof(f1786,plain,
    ( ! [X5] :
        ( ~ member(X5,sK11)
        | ~ member(sK7(sK11,sK8),sK11)
        | ~ apply(sK10,X5,sK7(sK11,sK8))
        | apply(sK10,X5,sK6(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_16 ),
    inference(resolution,[],[f1392,f612]) ).

fof(f612,plain,
    ( apply(sK8,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_16 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f1392,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK8,X1,sK6(sK11,sK8))
        | ~ member(X0,sK11)
        | ~ member(X1,sK11)
        | ~ apply(sK10,X0,X1)
        | apply(sK10,X0,sK6(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(duplicate_literal_removal,[],[f1384]) ).

fof(f1384,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,sK11)
        | ~ member(X1,sK11)
        | ~ member(X0,sK11)
        | ~ apply(sK8,X1,sK6(sK11,sK8))
        | ~ apply(sK10,X0,X1)
        | apply(sK10,X0,sK6(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f658,f653]) ).

fof(f658,plain,
    ( ! [X3,X4] :
        ( ~ apply(sK10,X3,sK6(sK11,sK8))
        | ~ apply(sK10,X4,X3)
        | apply(sK10,X4,sK6(sK11,sK8))
        | ~ member(X4,sK11)
        | ~ member(X3,sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f282]) ).

fof(f1755,plain,
    ( spl13_91
    | ~ spl13_17
    | ~ spl13_27
    | ~ spl13_17
    | ~ spl13_26 ),
    inference(avatar_split_clause,[],[f1750,f726,f615,f731,f615,f1752]) ).

fof(f1752,plain,
    ( spl13_91
  <=> apply(sK8,sK7(sK11,sK8),sK7(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).

fof(f731,plain,
    ( spl13_27
  <=> apply(sK9,sK7(sK11,sK8),sK7(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).

fof(f1750,plain,
    ( ~ apply(sK9,sK7(sK11,sK8),sK7(sK11,sK8))
    | ~ member(sK7(sK11,sK8),sK11)
    | apply(sK8,sK7(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_17
    | ~ spl13_26 ),
    inference(resolution,[],[f720,f728]) ).

fof(f1736,plain,
    ( spl13_90
    | ~ spl13_14
    | ~ spl13_25
    | ~ spl13_14
    | ~ spl13_24 ),
    inference(avatar_split_clause,[],[f1730,f700,f601,f705,f601,f1733]) ).

fof(f1733,plain,
    ( spl13_90
  <=> apply(sK8,sK5(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_90])]) ).

fof(f705,plain,
    ( spl13_25
  <=> apply(sK9,sK5(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).

fof(f700,plain,
    ( spl13_24
  <=> apply(sK10,sK5(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).

fof(f1730,plain,
    ( ~ apply(sK9,sK5(sK11,sK8),sK5(sK11,sK8))
    | ~ member(sK5(sK11,sK8),sK11)
    | apply(sK8,sK5(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_14
    | ~ spl13_24 ),
    inference(resolution,[],[f694,f702]) ).

fof(f702,plain,
    ( apply(sK10,sK5(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_24 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f1724,plain,
    ( ~ spl13_5
    | spl13_89
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(avatar_split_clause,[],[f1714,f424,f130,f1722,f424]) ).

fof(f1722,plain,
    ( spl13_89
  <=> ! [X4,X3] :
        ( member(sK2(sK11,X4),sK11)
        | ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X3))
        | equivalence(X4,sK11)
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X4))
        | ~ member(sK6(sK11,X3),sK11)
        | ~ apply(sK10,sK6(sK11,X3),sK6(sK11,X4))
        | equivalence(X3,sK11)
        | member(sK2(sK11,X3),sK11)
        | member(sK4(sK11,X3),sK11)
        | member(sK4(sK11,X4),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_89])]) ).

fof(f1714,plain,
    ( ! [X3,X4] :
        ( member(sK2(sK11,X4),sK11)
        | member(sK4(sK11,X4),sK11)
        | ~ member(sK6(sK11,X3),sK11)
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X4))
        | member(sK4(sK11,X3),sK11)
        | ~ member(sK4(sK11,sK8),sK11)
        | member(sK2(sK11,X3),sK11)
        | equivalence(X3,sK11)
        | equivalence(X4,sK11)
        | ~ apply(sK10,sK6(sK11,X3),sK6(sK11,X4))
        | ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X3)) )
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(resolution,[],[f1274,f157]) ).

fof(f1274,plain,
    ( ! [X10,X9] :
        ( ~ apply(sK10,sK4(sK11,sK8),X9)
        | ~ apply(sK10,X9,sK6(sK11,X10))
        | member(sK4(sK11,X10),sK11)
        | equivalence(X10,sK11)
        | ~ member(X9,sK11)
        | member(sK2(sK11,X10),sK11)
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X10)) )
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(resolution,[],[f426,f287]) ).

fof(f426,plain,
    ( member(sK4(sK11,sK8),sK11)
    | ~ spl13_5 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f1720,plain,
    ( ~ spl13_5
    | spl13_88
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(avatar_split_clause,[],[f1713,f424,f130,f1718,f424]) ).

fof(f1718,plain,
    ( spl13_88
  <=> ! [X2,X1] :
        ( ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X1))
        | equivalence(X2,sK11)
        | member(sK3(sK11,X1),sK11)
        | ~ apply(sK10,sK6(sK11,X1),sK6(sK11,X2))
        | member(sK4(sK11,X1),sK11)
        | ~ member(sK6(sK11,X1),sK11)
        | member(sK4(sK11,X2),sK11)
        | member(sK2(sK11,X2),sK11)
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X2))
        | equivalence(X1,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_88])]) ).

fof(f1713,plain,
    ( ! [X2,X1] :
        ( ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X1))
        | equivalence(X1,sK11)
        | member(sK4(sK11,X2),sK11)
        | ~ member(sK6(sK11,X1),sK11)
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X2))
        | member(sK4(sK11,X1),sK11)
        | member(sK2(sK11,X2),sK11)
        | ~ apply(sK10,sK6(sK11,X1),sK6(sK11,X2))
        | member(sK3(sK11,X1),sK11)
        | ~ member(sK4(sK11,sK8),sK11)
        | equivalence(X2,sK11) )
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(resolution,[],[f1274,f193]) ).

fof(f1707,plain,
    ( ~ spl13_87
    | ~ spl13_6
    | spl13_85
    | ~ spl13_5
    | ~ spl13_1
    | ~ spl13_5
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f1685,f1456,f424,f130,f424,f1696,f428,f1704]) ).

fof(f1704,plain,
    ( spl13_87
  <=> apply(sK10,sK4(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).

fof(f1696,plain,
    ( spl13_85
  <=> ! [X6] :
        ( apply(sK10,sK4(sK11,sK8),sK6(sK11,X6))
        | equivalence(X6,sK11)
        | member(sK3(sK11,X6),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X6))
        | member(sK4(sK11,X6),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_85])]) ).

fof(f1685,plain,
    ( ! [X5] :
        ( ~ member(sK4(sK11,sK8),sK11)
        | equivalence(X5,sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | member(sK3(sK11,X5),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X5))
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X5))
        | ~ apply(sK10,sK4(sK11,sK8),sK5(sK11,sK8))
        | member(sK4(sK11,X5),sK11) )
    | ~ spl13_1
    | ~ spl13_5
    | ~ spl13_65 ),
    inference(resolution,[],[f1273,f1457]) ).

fof(f1273,plain,
    ( ! [X8,X7] :
        ( ~ apply(sK10,sK4(sK11,sK8),X8)
        | member(sK4(sK11,X7),sK11)
        | equivalence(X7,sK11)
        | ~ apply(sK10,X8,sK6(sK11,X7))
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X7))
        | ~ member(X8,sK11)
        | member(sK3(sK11,X7),sK11) )
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(resolution,[],[f426,f286]) ).

fof(f1702,plain,
    ( ~ spl13_5
    | spl13_86
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(avatar_split_clause,[],[f1684,f424,f130,f1700,f424]) ).

fof(f1700,plain,
    ( spl13_86
  <=> ! [X4,X3] :
        ( equivalence(X3,sK11)
        | equivalence(X4,sK11)
        | ~ member(sK6(sK11,X4),sK11)
        | member(sK2(sK11,X4),sK11)
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X3))
        | member(sK3(sK11,X3),sK11)
        | member(sK4(sK11,X3),sK11)
        | ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X4))
        | ~ apply(sK10,sK6(sK11,X4),sK6(sK11,X3))
        | member(sK4(sK11,X4),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_86])]) ).

fof(f1684,plain,
    ( ! [X3,X4] :
        ( equivalence(X3,sK11)
        | ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X4))
        | member(sK4(sK11,X3),sK11)
        | member(sK3(sK11,X3),sK11)
        | member(sK4(sK11,X4),sK11)
        | ~ apply(sK10,sK6(sK11,X4),sK6(sK11,X3))
        | ~ member(sK4(sK11,sK8),sK11)
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X3))
        | member(sK2(sK11,X4),sK11)
        | ~ member(sK6(sK11,X4),sK11)
        | equivalence(X4,sK11) )
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(resolution,[],[f1273,f157]) ).

fof(f1698,plain,
    ( ~ spl13_84
    | ~ spl13_6
    | ~ spl13_5
    | spl13_85
    | ~ spl13_1
    | ~ spl13_5
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1686,f428,f424,f130,f1696,f424,f428,f1692]) ).

fof(f1692,plain,
    ( spl13_84
  <=> apply(sK8,sK4(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_84])]) ).

fof(f1686,plain,
    ( ! [X6] :
        ( apply(sK10,sK4(sK11,sK8),sK6(sK11,X6))
        | ~ member(sK4(sK11,sK8),sK11)
        | member(sK4(sK11,X6),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X6))
        | member(sK3(sK11,X6),sK11)
        | equivalence(X6,sK11)
        | ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_5
    | ~ spl13_6 ),
    inference(resolution,[],[f1273,f653]) ).

fof(f1690,plain,
    ( ~ spl13_5
    | spl13_83
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(avatar_split_clause,[],[f1683,f424,f130,f1688,f424]) ).

fof(f1688,plain,
    ( spl13_83
  <=> ! [X2,X1] :
        ( member(sK3(sK11,X1),sK11)
        | member(sK4(sK11,X1),sK11)
        | member(sK3(sK11,X2),sK11)
        | ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X2))
        | ~ member(sK6(sK11,X2),sK11)
        | member(sK4(sK11,X2),sK11)
        | equivalence(X1,sK11)
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X1))
        | equivalence(X2,sK11)
        | ~ apply(sK10,sK6(sK11,X2),sK6(sK11,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_83])]) ).

fof(f1683,plain,
    ( ! [X2,X1] :
        ( member(sK3(sK11,X1),sK11)
        | ~ apply(sK10,sK6(sK11,X2),sK6(sK11,X1))
        | equivalence(X2,sK11)
        | apply(sK10,sK4(sK11,sK8),sK6(sK11,X1))
        | equivalence(X1,sK11)
        | ~ member(sK4(sK11,sK8),sK11)
        | member(sK4(sK11,X2),sK11)
        | ~ member(sK6(sK11,X2),sK11)
        | ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X2))
        | member(sK3(sK11,X2),sK11)
        | member(sK4(sK11,X1),sK11) )
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(resolution,[],[f1273,f193]) ).

fof(f1675,plain,
    ( ~ spl13_14
    | spl13_82
    | ~ spl13_2
    | ~ spl13_6
    | ~ spl13_28 ),
    inference(avatar_split_clause,[],[f1662,f738,f428,f135,f1673,f601]) ).

fof(f1662,plain,
    ( ! [X2] :
        ( member(sK3(sK11,X2),sK11)
        | ~ apply(sK9,sK6(sK11,X2),sK5(sK11,sK8))
        | member(sK4(sK11,X2),sK11)
        | equivalence(X2,sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | apply(sK9,sK6(sK11,X2),sK6(sK11,sK8)) )
    | ~ spl13_2
    | ~ spl13_6
    | ~ spl13_28 ),
    inference(resolution,[],[f1033,f740]) ).

fof(f1033,plain,
    ( ! [X19,X20] :
        ( ~ apply(sK9,X19,sK6(sK11,sK8))
        | member(sK4(sK11,X20),sK11)
        | member(sK3(sK11,X20),sK11)
        | ~ member(X19,sK11)
        | apply(sK9,sK6(sK11,X20),sK6(sK11,sK8))
        | ~ apply(sK9,sK6(sK11,X20),X19)
        | equivalence(X20,sK11) )
    | ~ spl13_2
    | ~ spl13_6 ),
    inference(resolution,[],[f292,f429]) ).

fof(f1671,plain,
    ( ~ spl13_17
    | spl13_81
    | ~ spl13_2
    | ~ spl13_6
    | ~ spl13_18 ),
    inference(avatar_split_clause,[],[f1666,f636,f428,f135,f1669,f615]) ).

fof(f1669,plain,
    ( spl13_81
  <=> ! [X6] :
        ( member(sK3(sK11,X6),sK11)
        | ~ apply(sK9,sK6(sK11,X6),sK7(sK11,sK8))
        | equivalence(X6,sK11)
        | member(sK4(sK11,X6),sK11)
        | apply(sK9,sK6(sK11,X6),sK6(sK11,sK8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_81])]) ).

fof(f1666,plain,
    ( ! [X6] :
        ( member(sK3(sK11,X6),sK11)
        | apply(sK9,sK6(sK11,X6),sK6(sK11,sK8))
        | member(sK4(sK11,X6),sK11)
        | equivalence(X6,sK11)
        | ~ member(sK7(sK11,sK8),sK11)
        | ~ apply(sK9,sK6(sK11,X6),sK7(sK11,sK8)) )
    | ~ spl13_2
    | ~ spl13_6
    | ~ spl13_18 ),
    inference(resolution,[],[f1033,f638]) ).

fof(f1659,plain,
    ( ~ spl13_14
    | spl13_80
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f1638,f641,f428,f130,f1657,f601]) ).

fof(f1638,plain,
    ( ! [X0] :
        ( member(sK4(sK11,X0),sK11)
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11)
        | ~ member(sK5(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_19 ),
    inference(resolution,[],[f991,f643]) ).

fof(f1655,plain,
    ( spl13_79
    | ~ spl13_6
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1642,f428,f130,f428,f1653]) ).

fof(f1653,plain,
    ( spl13_79
  <=> ! [X4,X5] :
        ( ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X5))
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X4))
        | member(sK4(sK11,X5),sK11)
        | ~ apply(sK10,sK6(sK11,X5),sK6(sK11,X4))
        | equivalence(X5,sK11)
        | ~ member(sK6(sK11,X5),sK11)
        | member(sK3(sK11,X5),sK11)
        | equivalence(X4,sK11)
        | member(sK4(sK11,X4),sK11)
        | member(sK2(sK11,X4),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_79])]) ).

fof(f1642,plain,
    ( ! [X4,X5] :
        ( ~ member(sK6(sK11,sK8),sK11)
        | ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X5))
        | equivalence(X4,sK11)
        | member(sK3(sK11,X5),sK11)
        | member(sK2(sK11,X4),sK11)
        | ~ member(sK6(sK11,X5),sK11)
        | equivalence(X5,sK11)
        | member(sK4(sK11,X4),sK11)
        | ~ apply(sK10,sK6(sK11,X5),sK6(sK11,X4))
        | member(sK4(sK11,X5),sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X4)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f991,f193]) ).

fof(f1651,plain,
    ( ~ spl13_6
    | spl13_78
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1643,f428,f130,f1649,f428]) ).

fof(f1649,plain,
    ( spl13_78
  <=> ! [X6,X7] :
        ( ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X7))
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X6))
        | ~ member(sK6(sK11,X7),sK11)
        | member(sK2(sK11,X7),sK11)
        | member(sK2(sK11,X6),sK11)
        | equivalence(X7,sK11)
        | equivalence(X6,sK11)
        | member(sK4(sK11,X6),sK11)
        | member(sK4(sK11,X7),sK11)
        | ~ apply(sK10,sK6(sK11,X7),sK6(sK11,X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).

fof(f1643,plain,
    ( ! [X6,X7] :
        ( ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X7))
        | ~ apply(sK10,sK6(sK11,X7),sK6(sK11,X6))
        | member(sK4(sK11,X7),sK11)
        | member(sK4(sK11,X6),sK11)
        | equivalence(X6,sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X7,sK11)
        | member(sK2(sK11,X6),sK11)
        | member(sK2(sK11,X7),sK11)
        | ~ member(sK6(sK11,X7),sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X6)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f991,f157]) ).

fof(f1637,plain,
    ( ~ spl13_8
    | spl13_77
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(avatar_split_clause,[],[f1626,f436,f130,f1635,f436]) ).

fof(f1635,plain,
    ( spl13_77
  <=> ! [X2,X1] :
        ( ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X2))
        | ~ member(sK6(sK11,X2),sK11)
        | member(sK3(sK11,X2),sK11)
        | member(sK4(sK11,X1),sK11)
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X1))
        | member(sK2(sK11,X1),sK11)
        | ~ apply(sK10,sK6(sK11,X2),sK6(sK11,X1))
        | equivalence(X1,sK11)
        | member(sK4(sK11,X2),sK11)
        | equivalence(X2,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).

fof(f1626,plain,
    ( ! [X2,X1] :
        ( ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X2))
        | equivalence(X2,sK11)
        | member(sK4(sK11,X2),sK11)
        | equivalence(X1,sK11)
        | ~ apply(sK10,sK6(sK11,X2),sK6(sK11,X1))
        | ~ member(sK2(sK11,sK8),sK11)
        | member(sK2(sK11,X1),sK11)
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X1))
        | member(sK4(sK11,X1),sK11)
        | member(sK3(sK11,X2),sK11)
        | ~ member(sK6(sK11,X2),sK11) )
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(resolution,[],[f985,f193]) ).

fof(f1633,plain,
    ( ~ spl13_8
    | spl13_76
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(avatar_split_clause,[],[f1627,f436,f130,f1631,f436]) ).

fof(f1631,plain,
    ( spl13_76
  <=> ! [X4,X3] :
        ( ~ apply(sK10,sK6(sK11,X4),sK6(sK11,X3))
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X3))
        | ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X4))
        | equivalence(X3,sK11)
        | member(sK4(sK11,X4),sK11)
        | ~ member(sK6(sK11,X4),sK11)
        | member(sK2(sK11,X3),sK11)
        | member(sK2(sK11,X4),sK11)
        | equivalence(X4,sK11)
        | member(sK4(sK11,X3),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).

fof(f1627,plain,
    ( ! [X3,X4] :
        ( ~ apply(sK10,sK6(sK11,X4),sK6(sK11,X3))
        | ~ member(sK2(sK11,sK8),sK11)
        | member(sK4(sK11,X3),sK11)
        | equivalence(X4,sK11)
        | member(sK2(sK11,X4),sK11)
        | member(sK2(sK11,X3),sK11)
        | ~ member(sK6(sK11,X4),sK11)
        | member(sK4(sK11,X4),sK11)
        | equivalence(X3,sK11)
        | ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X4))
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X3)) )
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(resolution,[],[f985,f157]) ).

fof(f1624,plain,
    ( spl13_75
    | ~ spl13_6
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1607,f428,f130,f428,f1622]) ).

fof(f1622,plain,
    ( spl13_75
  <=> ! [X4,X5] :
        ( apply(sK10,sK6(sK11,sK8),sK6(sK11,X4))
        | member(sK3(sK11,X4),sK11)
        | equivalence(X5,sK11)
        | ~ apply(sK10,sK6(sK11,X5),sK6(sK11,X4))
        | member(sK4(sK11,X5),sK11)
        | ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X5))
        | member(sK3(sK11,X5),sK11)
        | ~ member(sK6(sK11,X5),sK11)
        | equivalence(X4,sK11)
        | member(sK4(sK11,X4),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).

fof(f1607,plain,
    ( ! [X4,X5] :
        ( ~ member(sK6(sK11,sK8),sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X4))
        | member(sK4(sK11,X4),sK11)
        | equivalence(X4,sK11)
        | equivalence(X5,sK11)
        | ~ member(sK6(sK11,X5),sK11)
        | member(sK3(sK11,X4),sK11)
        | member(sK3(sK11,X5),sK11)
        | ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X5))
        | member(sK4(sK11,X5),sK11)
        | ~ apply(sK10,sK6(sK11,X5),sK6(sK11,X4)) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f977,f193]) ).

fof(f1620,plain,
    ( ~ spl13_6
    | spl13_74
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1608,f428,f130,f1618,f428]) ).

fof(f1618,plain,
    ( spl13_74
  <=> ! [X6,X7] :
        ( equivalence(X6,sK11)
        | member(sK3(sK11,X6),sK11)
        | equivalence(X7,sK11)
        | ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X7))
        | member(sK4(sK11,X7),sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X6))
        | member(sK2(sK11,X7),sK11)
        | member(sK4(sK11,X6),sK11)
        | ~ member(sK6(sK11,X7),sK11)
        | ~ apply(sK10,sK6(sK11,X7),sK6(sK11,X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).

fof(f1608,plain,
    ( ! [X6,X7] :
        ( equivalence(X6,sK11)
        | ~ apply(sK10,sK6(sK11,X7),sK6(sK11,X6))
        | ~ member(sK6(sK11,X7),sK11)
        | member(sK4(sK11,X6),sK11)
        | member(sK2(sK11,X7),sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X6))
        | member(sK4(sK11,X7),sK11)
        | ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X7))
        | equivalence(X7,sK11)
        | member(sK3(sK11,X6),sK11)
        | ~ member(sK6(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f977,f157]) ).

fof(f1616,plain,
    ( ~ spl13_14
    | spl13_73
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f1603,f641,f428,f130,f1614,f601]) ).

fof(f1603,plain,
    ( ! [X0] :
        ( member(sK3(sK11,X0),sK11)
        | apply(sK10,sK6(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11)
        | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,X0))
        | member(sK4(sK11,X0),sK11)
        | ~ member(sK5(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_19 ),
    inference(resolution,[],[f977,f643]) ).

fof(f1602,plain,
    ( ~ spl13_8
    | spl13_72
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(avatar_split_clause,[],[f1579,f436,f130,f1600,f436]) ).

fof(f1600,plain,
    ( spl13_72
  <=> ! [X4,X3] :
        ( member(sK4(sK11,X4),sK11)
        | equivalence(X3,sK11)
        | member(sK3(sK11,X4),sK11)
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X4))
        | equivalence(X4,sK11)
        | ~ member(sK6(sK11,X3),sK11)
        | ~ apply(sK10,sK6(sK11,X3),sK6(sK11,X4))
        | member(sK2(sK11,X3),sK11)
        | member(sK4(sK11,X3),sK11)
        | ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).

fof(f1579,plain,
    ( ! [X3,X4] :
        ( member(sK4(sK11,X4),sK11)
        | ~ member(sK6(sK11,X3),sK11)
        | ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X3))
        | member(sK4(sK11,X3),sK11)
        | member(sK2(sK11,X3),sK11)
        | equivalence(X4,sK11)
        | ~ apply(sK10,sK6(sK11,X3),sK6(sK11,X4))
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X4))
        | member(sK3(sK11,X4),sK11)
        | equivalence(X3,sK11)
        | ~ member(sK2(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(resolution,[],[f971,f157]) ).

fof(f1598,plain,
    ( ~ spl13_6
    | ~ spl13_8
    | ~ spl13_71
    | spl13_70
    | ~ spl13_1
    | ~ spl13_8
    | ~ spl13_65 ),
    inference(avatar_split_clause,[],[f1580,f1456,f436,f130,f1591,f1595,f436,f428]) ).

fof(f1595,plain,
    ( spl13_71
  <=> apply(sK10,sK2(sK11,sK8),sK5(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).

fof(f1591,plain,
    ( spl13_70
  <=> ! [X6] :
        ( member(sK4(sK11,X6),sK11)
        | equivalence(X6,sK11)
        | member(sK3(sK11,X6),sK11)
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X6))
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).

fof(f1580,plain,
    ( ! [X5] :
        ( member(sK3(sK11,X5),sK11)
        | ~ apply(sK10,sK2(sK11,sK8),sK5(sK11,sK8))
        | ~ member(sK2(sK11,sK8),sK11)
        | equivalence(X5,sK11)
        | member(sK4(sK11,X5),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X5))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X5)) )
    | ~ spl13_1
    | ~ spl13_8
    | ~ spl13_65 ),
    inference(resolution,[],[f971,f1457]) ).

fof(f1593,plain,
    ( ~ spl13_8
    | ~ spl13_6
    | ~ spl13_69
    | spl13_70
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_8 ),
    inference(avatar_split_clause,[],[f1581,f436,f428,f130,f1591,f1587,f428,f436]) ).

fof(f1587,plain,
    ( spl13_69
  <=> apply(sK8,sK2(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).

fof(f1581,plain,
    ( ! [X6] :
        ( member(sK4(sK11,X6),sK11)
        | ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,sK8))
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X6))
        | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,X6))
        | member(sK3(sK11,X6),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | ~ member(sK2(sK11,sK8),sK11)
        | equivalence(X6,sK11) )
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_8 ),
    inference(resolution,[],[f971,f653]) ).

fof(f1585,plain,
    ( ~ spl13_8
    | spl13_68
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(avatar_split_clause,[],[f1578,f436,f130,f1583,f436]) ).

fof(f1583,plain,
    ( spl13_68
  <=> ! [X2,X1] :
        ( member(sK4(sK11,X1),sK11)
        | equivalence(X1,sK11)
        | member(sK3(sK11,X2),sK11)
        | member(sK3(sK11,X1),sK11)
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X2))
        | ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X1))
        | ~ apply(sK10,sK6(sK11,X1),sK6(sK11,X2))
        | equivalence(X2,sK11)
        | member(sK4(sK11,X2),sK11)
        | ~ member(sK6(sK11,X1),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).

fof(f1578,plain,
    ( ! [X2,X1] :
        ( member(sK4(sK11,X1),sK11)
        | ~ member(sK6(sK11,X1),sK11)
        | equivalence(X2,sK11)
        | member(sK4(sK11,X2),sK11)
        | ~ apply(sK10,sK6(sK11,X1),sK6(sK11,X2))
        | ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X1))
        | apply(sK10,sK2(sK11,sK8),sK6(sK11,X2))
        | ~ member(sK2(sK11,sK8),sK11)
        | member(sK3(sK11,X1),sK11)
        | member(sK3(sK11,X2),sK11)
        | equivalence(X1,sK11) )
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(resolution,[],[f971,f193]) ).

fof(f1519,plain,
    ( ~ spl13_14
    | spl13_67
    | ~ spl13_66 ),
    inference(avatar_split_clause,[],[f1515,f1482,f1517,f601]) ).

fof(f1517,plain,
    ( spl13_67
  <=> ! [X0] :
        ( member(sK2(sK11,X0),sK11)
        | apply(sK9,sK6(sK11,sK8),sK6(sK11,X0))
        | ~ apply(sK8,sK5(sK11,sK8),sK6(sK11,X0))
        | ~ member(sK6(sK11,X0),sK11)
        | member(sK4(sK11,X0),sK11)
        | equivalence(X0,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_67])]) ).

fof(f1515,plain,
    ( ! [X0] :
        ( member(sK2(sK11,X0),sK11)
        | equivalence(X0,sK11)
        | member(sK4(sK11,X0),sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | ~ member(sK6(sK11,X0),sK11)
        | ~ apply(sK8,sK5(sK11,sK8),sK6(sK11,X0))
        | apply(sK9,sK6(sK11,sK8),sK6(sK11,X0)) )
    | ~ spl13_66 ),
    inference(resolution,[],[f1483,f156]) ).

fof(f1483,plain,
    ( ! [X0] :
        ( ~ apply(sK9,sK5(sK11,sK8),X0)
        | apply(sK9,sK6(sK11,sK8),X0)
        | ~ member(X0,sK11) )
    | ~ spl13_66 ),
    inference(avatar_component_clause,[],[f1482]) ).

fof(f1492,plain,
    ( ~ spl13_14
    | ~ spl13_34
    | spl13_35
    | ~ spl13_6
    | ~ spl13_28 ),
    inference(avatar_split_clause,[],[f1487,f738,f428,f823,f773,f601]) ).

fof(f823,plain,
    ( spl13_35
  <=> apply(sK8,sK5(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).

fof(f1487,plain,
    ( apply(sK8,sK5(sK11,sK8),sK6(sK11,sK8))
    | ~ apply(sK10,sK5(sK11,sK8),sK6(sK11,sK8))
    | ~ member(sK5(sK11,sK8),sK11)
    | ~ spl13_6
    | ~ spl13_28 ),
    inference(resolution,[],[f740,f655]) ).

fof(f655,plain,
    ( ! [X2] :
        ( ~ apply(sK9,X2,sK6(sK11,sK8))
        | ~ member(X2,sK11)
        | ~ apply(sK10,X2,sK6(sK11,sK8))
        | apply(sK8,X2,sK6(sK11,sK8)) )
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f111]) ).

fof(f1484,plain,
    ( ~ spl13_14
    | spl13_66
    | ~ spl13_2
    | ~ spl13_4
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1478,f428,f420,f135,f1482,f601]) ).

fof(f1478,plain,
    ( ! [X0] :
        ( ~ member(X0,sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | ~ apply(sK9,sK5(sK11,sK8),X0)
        | apply(sK9,sK6(sK11,sK8),X0) )
    | ~ spl13_2
    | ~ spl13_4
    | ~ spl13_6 ),
    inference(resolution,[],[f422,f659]) ).

fof(f659,plain,
    ( ! [X6,X5] :
        ( ~ apply(sK9,sK6(sK11,sK8),X6)
        | apply(sK9,sK6(sK11,sK8),X5)
        | ~ apply(sK9,X6,X5)
        | ~ member(X5,sK11)
        | ~ member(X6,sK11) )
    | ~ spl13_2
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f283]) ).

fof(f1477,plain,
    ( spl13_4
    | ~ spl13_6
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(avatar_split_clause,[],[f1476,f601,f596,f428,f420]) ).

fof(f1476,plain,
    ( ~ member(sK6(sK11,sK8),sK11)
    | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(resolution,[],[f693,f598]) ).

fof(f598,plain,
    ( apply(sK8,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_13 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f693,plain,
    ( ! [X1] :
        ( ~ apply(sK8,X1,sK5(sK11,sK8))
        | ~ member(X1,sK11)
        | apply(sK9,X1,sK5(sK11,sK8)) )
    | ~ spl13_14 ),
    inference(resolution,[],[f603,f110]) ).

fof(f1458,plain,
    ( ~ spl13_14
    | spl13_65
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_34 ),
    inference(avatar_split_clause,[],[f1452,f773,f428,f130,f1456,f601]) ).

fof(f1452,plain,
    ( ! [X0] :
        ( ~ member(X0,sK11)
        | apply(sK10,X0,sK6(sK11,sK8))
        | ~ apply(sK10,X0,sK5(sK11,sK8))
        | ~ member(sK5(sK11,sK8),sK11) )
    | ~ spl13_1
    | ~ spl13_6
    | ~ spl13_34 ),
    inference(resolution,[],[f775,f658]) ).

fof(f1445,plain,
    ( ~ spl13_6
    | spl13_19
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(avatar_split_clause,[],[f1444,f601,f596,f641,f428]) ).

fof(f1444,plain,
    ( apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ member(sK6(sK11,sK8),sK11)
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(resolution,[],[f692,f598]) ).

fof(f692,plain,
    ( ! [X0] :
        ( ~ apply(sK8,X0,sK5(sK11,sK8))
        | apply(sK10,X0,sK5(sK11,sK8))
        | ~ member(X0,sK11) )
    | ~ spl13_14 ),
    inference(resolution,[],[f603,f109]) ).

fof(f1436,plain,
    ( ~ spl13_5
    | spl13_64
    | ~ spl13_2
    | ~ spl13_5 ),
    inference(avatar_split_clause,[],[f1432,f424,f135,f1434,f424]) ).

fof(f1434,plain,
    ( spl13_64
  <=> ! [X2,X1] :
        ( ~ member(sK6(sK11,X2),sK11)
        | member(sK4(sK11,X2),sK11)
        | ~ member(X1,sK11)
        | member(sK2(sK11,X2),sK11)
        | equivalence(X2,sK11)
        | apply(sK9,sK4(sK11,sK8),X1)
        | ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X2))
        | ~ apply(sK9,sK6(sK11,X2),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).

fof(f1432,plain,
    ( ! [X2,X1] :
        ( ~ member(sK6(sK11,X2),sK11)
        | ~ apply(sK9,sK6(sK11,X2),X1)
        | ~ apply(sK8,sK4(sK11,sK8),sK6(sK11,X2))
        | apply(sK9,sK4(sK11,sK8),X1)
        | ~ member(sK4(sK11,sK8),sK11)
        | equivalence(X2,sK11)
        | member(sK2(sK11,X2),sK11)
        | ~ member(X1,sK11)
        | member(sK4(sK11,X2),sK11) )
    | ~ spl13_2
    | ~ spl13_5 ),
    inference(resolution,[],[f1272,f156]) ).

fof(f1272,plain,
    ( ! [X6,X5] :
        ( ~ apply(sK9,sK4(sK11,sK8),X6)
        | apply(sK9,sK4(sK11,sK8),X5)
        | ~ member(X5,sK11)
        | ~ member(X6,sK11)
        | ~ apply(sK9,X6,X5) )
    | ~ spl13_2
    | ~ spl13_5 ),
    inference(resolution,[],[f426,f283]) ).

fof(f1429,plain,
    ( ~ spl13_8
    | spl13_63
    | ~ spl13_2
    | ~ spl13_8 ),
    inference(avatar_split_clause,[],[f1425,f436,f135,f1427,f436]) ).

fof(f1427,plain,
    ( spl13_63
  <=> ! [X2,X1] :
        ( ~ apply(sK9,sK6(sK11,X1),X2)
        | apply(sK9,sK2(sK11,sK8),X2)
        | member(sK2(sK11,X1),sK11)
        | ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X1))
        | member(sK4(sK11,X1),sK11)
        | ~ member(sK6(sK11,X1),sK11)
        | equivalence(X1,sK11)
        | ~ member(X2,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).

fof(f1425,plain,
    ( ! [X2,X1] :
        ( ~ apply(sK9,sK6(sK11,X1),X2)
        | ~ member(X2,sK11)
        | equivalence(X1,sK11)
        | ~ member(sK6(sK11,X1),sK11)
        | member(sK4(sK11,X1),sK11)
        | ~ apply(sK8,sK2(sK11,sK8),sK6(sK11,X1))
        | ~ member(sK2(sK11,sK8),sK11)
        | member(sK2(sK11,X1),sK11)
        | apply(sK9,sK2(sK11,sK8),X2) )
    | ~ spl13_2
    | ~ spl13_8 ),
    inference(resolution,[],[f678,f156]) ).

fof(f1421,plain,
    ( ~ spl13_17
    | spl13_62
    | ~ spl13_61 ),
    inference(avatar_split_clause,[],[f1417,f1409,f1419,f615]) ).

fof(f1419,plain,
    ( spl13_62
  <=> ! [X0] :
        ( ~ apply(sK8,sK7(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11)
        | member(sK2(sK11,X0),sK11)
        | apply(sK9,sK6(sK11,sK8),sK6(sK11,X0))
        | member(sK4(sK11,X0),sK11)
        | ~ member(sK6(sK11,X0),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).

fof(f1409,plain,
    ( spl13_61
  <=> ! [X1] :
        ( apply(sK9,sK6(sK11,sK8),X1)
        | ~ member(X1,sK11)
        | ~ apply(sK9,sK7(sK11,sK8),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).

fof(f1417,plain,
    ( ! [X0] :
        ( ~ apply(sK8,sK7(sK11,sK8),sK6(sK11,X0))
        | ~ member(sK7(sK11,sK8),sK11)
        | ~ member(sK6(sK11,X0),sK11)
        | member(sK4(sK11,X0),sK11)
        | apply(sK9,sK6(sK11,sK8),sK6(sK11,X0))
        | member(sK2(sK11,X0),sK11)
        | equivalence(X0,sK11) )
    | ~ spl13_61 ),
    inference(resolution,[],[f1410,f156]) ).

fof(f1410,plain,
    ( ! [X1] :
        ( ~ apply(sK9,sK7(sK11,sK8),X1)
        | ~ member(X1,sK11)
        | apply(sK9,sK6(sK11,sK8),X1) )
    | ~ spl13_61 ),
    inference(avatar_component_clause,[],[f1409]) ).

fof(f1411,plain,
    ( ~ spl13_17
    | spl13_61
    | ~ spl13_2
    | ~ spl13_6
    | ~ spl13_31 ),
    inference(avatar_split_clause,[],[f1400,f756,f428,f135,f1409,f615]) ).

fof(f1400,plain,
    ( ! [X1] :
        ( apply(sK9,sK6(sK11,sK8),X1)
        | ~ apply(sK9,sK7(sK11,sK8),X1)
        | ~ member(X1,sK11)
        | ~ member(sK7(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_6
    | ~ spl13_31 ),
    inference(resolution,[],[f659,f758]) ).

fof(f1407,plain,
    ( ~ spl13_6
    | spl13_60
    | ~ spl13_2
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1403,f428,f135,f1405,f428]) ).

fof(f1405,plain,
    ( spl13_60
  <=> ! [X4,X5] :
        ( ~ member(sK6(sK11,X5),sK11)
        | member(sK2(sK11,X5),sK11)
        | ~ member(X4,sK11)
        | equivalence(X5,sK11)
        | member(sK4(sK11,X5),sK11)
        | ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X5))
        | ~ apply(sK9,sK6(sK11,X5),X4)
        | apply(sK9,sK6(sK11,sK8),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).

fof(f1403,plain,
    ( ! [X4,X5] :
        ( ~ member(sK6(sK11,X5),sK11)
        | apply(sK9,sK6(sK11,sK8),X4)
        | ~ apply(sK9,sK6(sK11,X5),X4)
        | ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X5))
        | member(sK4(sK11,X5),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(X5,sK11)
        | ~ member(X4,sK11)
        | member(sK2(sK11,X5),sK11) )
    | ~ spl13_2
    | ~ spl13_6 ),
    inference(resolution,[],[f659,f156]) ).

fof(f1377,plain,
    ( spl13_59
    | ~ spl13_8
    | ~ spl13_23
    | ~ spl13_8
    | ~ spl13_22 ),
    inference(avatar_split_clause,[],[f1372,f680,f436,f685,f436,f1374]) ).

fof(f1374,plain,
    ( spl13_59
  <=> apply(sK8,sK2(sK11,sK8),sK2(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_59])]) ).

fof(f685,plain,
    ( spl13_23
  <=> apply(sK9,sK2(sK11,sK8),sK2(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).

fof(f680,plain,
    ( spl13_22
  <=> apply(sK10,sK2(sK11,sK8),sK2(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).

fof(f1372,plain,
    ( ~ apply(sK9,sK2(sK11,sK8),sK2(sK11,sK8))
    | ~ member(sK2(sK11,sK8),sK11)
    | apply(sK8,sK2(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_8
    | ~ spl13_22 ),
    inference(resolution,[],[f674,f682]) ).

fof(f682,plain,
    ( apply(sK10,sK2(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_22 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f1364,plain,
    ( spl13_58
    | ~ spl13_20
    | ~ spl13_6
    | ~ spl13_6
    | ~ spl13_21 ),
    inference(avatar_split_clause,[],[f1357,f666,f428,f428,f661,f1361]) ).

fof(f1361,plain,
    ( spl13_58
  <=> apply(sK8,sK6(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).

fof(f661,plain,
    ( spl13_20
  <=> apply(sK10,sK6(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).

fof(f666,plain,
    ( spl13_21
  <=> apply(sK9,sK6(sK11,sK8),sK6(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).

fof(f1357,plain,
    ( ~ member(sK6(sK11,sK8),sK11)
    | ~ apply(sK10,sK6(sK11,sK8),sK6(sK11,sK8))
    | apply(sK8,sK6(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_6
    | ~ spl13_21 ),
    inference(resolution,[],[f655,f668]) ).

fof(f668,plain,
    ( apply(sK9,sK6(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_21 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f1349,plain,
    ( ~ spl13_17
    | ~ spl13_6
    | ~ spl13_2
    | ~ spl13_32 ),
    inference(avatar_split_clause,[],[f1348,f760,f135,f428,f615]) ).

fof(f760,plain,
    ( spl13_32
  <=> ! [X0] :
        ( ~ member(sK7(sK11,sK8),X0)
        | ~ member(sK6(sK11,sK8),X0)
        | ~ equivalence(sK9,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).

fof(f1348,plain,
    ( ~ member(sK6(sK11,sK8),sK11)
    | ~ member(sK7(sK11,sK8),sK11)
    | ~ spl13_2
    | ~ spl13_32 ),
    inference(resolution,[],[f761,f137]) ).

fof(f761,plain,
    ( ! [X0] :
        ( ~ equivalence(sK9,X0)
        | ~ member(sK7(sK11,sK8),X0)
        | ~ member(sK6(sK11,sK8),X0) )
    | ~ spl13_32 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f1347,plain,
    ( spl13_31
    | spl13_32
    | ~ spl13_18 ),
    inference(avatar_split_clause,[],[f1281,f636,f760,f756]) ).

fof(f1281,plain,
    ( ! [X2] :
        ( ~ member(sK7(sK11,sK8),X2)
        | ~ equivalence(sK9,X2)
        | ~ member(sK6(sK11,sK8),X2)
        | apply(sK9,sK6(sK11,sK8),sK7(sK11,sK8)) )
    | ~ spl13_18 ),
    inference(resolution,[],[f638,f99]) ).

fof(f1346,plain,
    ( ~ spl13_17
    | ~ spl13_14
    | ~ spl13_2
    | ~ spl13_48 ),
    inference(avatar_split_clause,[],[f1345,f1174,f135,f601,f615]) ).

fof(f1174,plain,
    ( spl13_48
  <=> ! [X2] :
        ( ~ member(sK5(sK11,sK8),X2)
        | ~ equivalence(sK9,X2)
        | ~ member(sK7(sK11,sK8),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).

fof(f1345,plain,
    ( ~ member(sK5(sK11,sK8),sK11)
    | ~ member(sK7(sK11,sK8),sK11)
    | ~ spl13_2
    | ~ spl13_48 ),
    inference(resolution,[],[f1175,f137]) ).

fof(f1175,plain,
    ( ! [X2] :
        ( ~ equivalence(sK9,X2)
        | ~ member(sK5(sK11,sK8),X2)
        | ~ member(sK7(sK11,sK8),X2) )
    | ~ spl13_48 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1337,plain,
    ( ~ spl13_6
    | ~ spl13_14
    | ~ spl13_1
    | ~ spl13_33 ),
    inference(avatar_split_clause,[],[f1336,f770,f130,f601,f428]) ).

fof(f1336,plain,
    ( ~ member(sK5(sK11,sK8),sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | ~ spl13_1
    | ~ spl13_33 ),
    inference(resolution,[],[f771,f132]) ).

fof(f771,plain,
    ( ! [X0] :
        ( ~ equivalence(sK10,X0)
        | ~ member(sK5(sK11,sK8),X0)
        | ~ member(sK6(sK11,sK8),X0) )
    | ~ spl13_33 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f1326,plain,
    ( ~ spl13_14
    | spl13_28
    | ~ spl13_6
    | ~ spl13_35 ),
    inference(avatar_split_clause,[],[f929,f823,f428,f738,f601]) ).

fof(f929,plain,
    ( apply(sK9,sK5(sK11,sK8),sK6(sK11,sK8))
    | ~ member(sK5(sK11,sK8),sK11)
    | ~ spl13_6
    | ~ spl13_35 ),
    inference(resolution,[],[f654,f825]) ).

fof(f825,plain,
    ( apply(sK8,sK5(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_35 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f654,plain,
    ( ! [X1] :
        ( ~ apply(sK8,X1,sK6(sK11,sK8))
        | ~ member(X1,sK11)
        | apply(sK9,X1,sK6(sK11,sK8)) )
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f110]) ).

fof(f1325,plain,
    ( ~ spl13_6
    | ~ spl13_14
    | ~ spl13_2
    | ~ spl13_29 ),
    inference(avatar_split_clause,[],[f1324,f742,f135,f601,f428]) ).

fof(f1324,plain,
    ( ~ member(sK5(sK11,sK8),sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | ~ spl13_2
    | ~ spl13_29 ),
    inference(resolution,[],[f743,f137]) ).

fof(f743,plain,
    ( ! [X0] :
        ( ~ equivalence(sK9,X0)
        | ~ member(sK5(sK11,sK8),X0)
        | ~ member(sK6(sK11,sK8),X0) )
    | ~ spl13_29 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f1265,plain,
    ( ~ spl13_17
    | spl13_18
    | ~ spl13_6
    | ~ spl13_16 ),
    inference(avatar_split_clause,[],[f933,f610,f428,f636,f615]) ).

fof(f933,plain,
    ( apply(sK9,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ member(sK7(sK11,sK8),sK11)
    | ~ spl13_6
    | ~ spl13_16 ),
    inference(resolution,[],[f654,f612]) ).

fof(f1264,plain,
    ( spl13_18
    | spl13_32
    | ~ spl13_31 ),
    inference(avatar_split_clause,[],[f794,f756,f760,f636]) ).

fof(f794,plain,
    ( ! [X0] :
        ( ~ member(sK6(sK11,sK8),X0)
        | ~ equivalence(sK9,X0)
        | ~ member(sK7(sK11,sK8),X0)
        | apply(sK9,sK7(sK11,sK8),sK6(sK11,sK8)) )
    | ~ spl13_31 ),
    inference(resolution,[],[f758,f99]) ).

fof(f1263,plain,
    ( spl13_19
    | spl13_33
    | ~ spl13_34 ),
    inference(avatar_split_clause,[],[f796,f773,f770,f641]) ).

fof(f796,plain,
    ( ! [X0] :
        ( ~ equivalence(sK10,X0)
        | apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8))
        | ~ member(sK5(sK11,sK8),X0)
        | ~ member(sK6(sK11,sK8),X0) )
    | ~ spl13_34 ),
    inference(resolution,[],[f775,f99]) ).

fof(f1262,plain,
    ( spl13_4
    | spl13_29
    | ~ spl13_28 ),
    inference(avatar_split_clause,[],[f905,f738,f742,f420]) ).

fof(f905,plain,
    ( ! [X0] :
        ( ~ member(sK5(sK11,sK8),X0)
        | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
        | ~ equivalence(sK9,X0)
        | ~ member(sK6(sK11,sK8),X0) )
    | ~ spl13_28 ),
    inference(resolution,[],[f740,f99]) ).

fof(f1261,plain,
    ( spl13_3
    | spl13_5
    | spl13_9
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f1250,f1221,f442,f424,f140]) ).

fof(f1250,plain,
    ( member(sK3(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK7(X0,X1),sK5(X0,X1))
      | equivalence(X1,X0)
      | member(sK4(X0,X1),X0)
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f1260,plain,
    ( spl13_56
    | spl13_57
    | ~ spl13_52 ),
    inference(avatar_split_clause,[],[f1251,f1221,f1258,f1254]) ).

fof(f1251,plain,
    ( ! [X0] :
        ( ~ member(sK5(sK11,sK8),X0)
        | ~ member(sK7(sK11,sK8),X0)
        | ~ equivalence(sK8,X0)
        | apply(sK8,sK5(sK11,sK8),sK7(sK11,sK8)) )
    | ~ spl13_52 ),
    inference(resolution,[],[f1223,f99]) ).

fof(f1236,plain,
    ( spl13_54
    | spl13_55
    | ~ spl13_51 ),
    inference(avatar_split_clause,[],[f1218,f1197,f1234,f1230]) ).

fof(f1218,plain,
    ( ! [X2] :
        ( ~ member(sK5(sK11,sK8),X2)
        | ~ equivalence(sK10,X2)
        | ~ member(sK7(sK11,sK8),X2)
        | apply(sK10,sK5(sK11,sK8),sK7(sK11,sK8)) )
    | ~ spl13_51 ),
    inference(resolution,[],[f1199,f99]) ).

fof(f1228,plain,
    ( spl13_3
    | spl13_9
    | spl13_5
    | spl13_53
    | ~ spl13_17
    | ~ spl13_1
    | ~ spl13_51 ),
    inference(avatar_split_clause,[],[f1215,f1197,f130,f615,f1226,f424,f442,f140]) ).

fof(f1215,plain,
    ( ! [X1] :
        ( ~ member(sK7(sK11,sK8),sK11)
        | ~ apply(sK10,X1,sK7(sK11,sK8))
        | member(sK4(sK11,sK8),sK11)
        | member(sK3(sK11,sK8),sK11)
        | ~ member(X1,sK11)
        | apply(sK10,X1,sK5(sK11,sK8))
        | equivalence(sK8,sK11) )
    | ~ spl13_1
    | ~ spl13_51 ),
    inference(resolution,[],[f1199,f284]) ).

fof(f284,plain,
    ( ! [X2,X0,X1] :
        ( ~ apply(sK10,X0,sK5(sK11,X1))
        | member(sK3(sK11,X1),sK11)
        | member(sK4(sK11,X1),sK11)
        | equivalence(X1,sK11)
        | ~ apply(sK10,X2,X0)
        | ~ member(X0,sK11)
        | apply(sK10,X2,sK5(sK11,X1))
        | ~ member(X2,sK11) )
    | ~ spl13_1 ),
    inference(resolution,[],[f282,f97]) ).

fof(f1224,plain,
    ( spl13_3
    | ~ spl13_47
    | spl13_5
    | spl13_9
    | spl13_52
    | ~ spl13_17
    | ~ spl13_51 ),
    inference(avatar_split_clause,[],[f1216,f1197,f615,f1221,f442,f424,f1170,f140]) ).

fof(f1216,plain,
    ( ~ member(sK7(sK11,sK8),sK11)
    | apply(sK8,sK7(sK11,sK8),sK5(sK11,sK8))
    | member(sK3(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ apply(sK9,sK7(sK11,sK8),sK5(sK11,sK8))
    | equivalence(sK8,sK11)
    | ~ spl13_51 ),
    inference(resolution,[],[f1199,f217]) ).

fof(f217,plain,
    ! [X16,X15] :
      ( ~ apply(sK10,X16,sK5(sK11,X15))
      | equivalence(X15,sK11)
      | member(sK4(sK11,X15),sK11)
      | ~ member(X16,sK11)
      | member(sK3(sK11,X15),sK11)
      | apply(sK8,X16,sK5(sK11,X15))
      | ~ apply(sK9,X16,sK5(sK11,X15)) ),
    inference(resolution,[],[f97,f111]) ).

fof(f1201,plain,
    ( ~ spl13_17
    | spl13_51
    | ~ spl13_6
    | ~ spl13_16
    | ~ spl13_39 ),
    inference(avatar_split_clause,[],[f1195,f951,f610,f428,f1197,f615]) ).

fof(f1195,plain,
    ( apply(sK10,sK7(sK11,sK8),sK5(sK11,sK8))
    | ~ member(sK7(sK11,sK8),sK11)
    | ~ spl13_6
    | ~ spl13_16
    | ~ spl13_39 ),
    inference(resolution,[],[f1091,f612]) ).

fof(f1091,plain,
    ( ! [X0] :
        ( ~ apply(sK8,X0,sK6(sK11,sK8))
        | ~ member(X0,sK11)
        | apply(sK10,X0,sK5(sK11,sK8)) )
    | ~ spl13_6
    | ~ spl13_39 ),
    inference(duplicate_literal_removal,[],[f1082]) ).

fof(f1082,plain,
    ( ! [X0] :
        ( ~ member(X0,sK11)
        | ~ apply(sK8,X0,sK6(sK11,sK8))
        | ~ member(X0,sK11)
        | apply(sK10,X0,sK5(sK11,sK8)) )
    | ~ spl13_6
    | ~ spl13_39 ),
    inference(resolution,[],[f952,f653]) ).

fof(f1200,plain,
    ( spl13_51
    | spl13_5
    | spl13_3
    | ~ spl13_17
    | spl13_9
    | ~ spl13_6
    | ~ spl13_39 ),
    inference(avatar_split_clause,[],[f1193,f951,f428,f442,f615,f140,f424,f1197]) ).

fof(f1193,plain,
    ( member(sK3(sK11,sK8),sK11)
    | ~ member(sK7(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | apply(sK10,sK7(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_6
    | ~ spl13_39 ),
    inference(resolution,[],[f1091,f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( apply(X1,sK7(X0,X1),sK6(X0,X1))
      | member(sK4(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f1190,plain,
    ( spl13_3
    | spl13_5
    | ~ spl13_14
    | spl13_9
    | spl13_50
    | ~ spl13_2
    | ~ spl13_47 ),
    inference(avatar_split_clause,[],[f1184,f1170,f135,f1188,f442,f601,f424,f140]) ).

fof(f1184,plain,
    ( ! [X1] :
        ( ~ apply(sK9,sK5(sK11,sK8),X1)
        | ~ member(X1,sK11)
        | apply(sK9,sK7(sK11,sK8),X1)
        | member(sK3(sK11,sK8),sK11)
        | ~ member(sK5(sK11,sK8),sK11)
        | member(sK4(sK11,sK8),sK11)
        | equivalence(sK8,sK11) )
    | ~ spl13_2
    | ~ spl13_47 ),
    inference(resolution,[],[f1172,f294]) ).

fof(f294,plain,
    ( ! [X14,X12,X13] :
        ( ~ apply(sK9,sK7(sK11,X12),X14)
        | ~ member(X14,sK11)
        | ~ member(X13,sK11)
        | member(sK3(sK11,X12),sK11)
        | ~ apply(sK9,X14,X13)
        | member(sK4(sK11,X12),sK11)
        | apply(sK9,sK7(sK11,X12),X13)
        | equivalence(X12,sK11) )
    | ~ spl13_2 ),
    inference(resolution,[],[f283,f96]) ).

fof(f1182,plain,
    ( ~ spl13_14
    | ~ spl13_4
    | ~ spl13_41
    | spl13_47 ),
    inference(avatar_split_clause,[],[f1181,f1170,f1064,f420,f601]) ).

fof(f1181,plain,
    ( ~ apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ member(sK5(sK11,sK8),sK11)
    | ~ spl13_41
    | spl13_47 ),
    inference(resolution,[],[f1171,f1065]) ).

fof(f1171,plain,
    ( ~ apply(sK9,sK7(sK11,sK8),sK5(sK11,sK8))
    | spl13_47 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f1180,plain,
    ( spl13_9
    | ~ spl13_17
    | spl13_3
    | spl13_5
    | spl13_49
    | ~ spl13_2
    | ~ spl13_46 ),
    inference(avatar_split_clause,[],[f1166,f1161,f135,f1178,f424,f140,f615,f442]) ).

fof(f1166,plain,
    ( ! [X1] :
        ( ~ member(X1,sK11)
        | member(sK4(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | ~ member(sK7(sK11,sK8),sK11)
        | member(sK3(sK11,sK8),sK11)
        | ~ apply(sK9,sK7(sK11,sK8),X1)
        | apply(sK9,sK5(sK11,sK8),X1) )
    | ~ spl13_2
    | ~ spl13_46 ),
    inference(resolution,[],[f1163,f290]) ).

fof(f290,plain,
    ( ! [X2,X0,X1] :
        ( ~ apply(sK9,sK5(sK11,X0),X2)
        | ~ member(X2,sK11)
        | equivalence(X0,sK11)
        | ~ apply(sK9,X2,X1)
        | ~ member(X1,sK11)
        | member(sK3(sK11,X0),sK11)
        | member(sK4(sK11,X0),sK11)
        | apply(sK9,sK5(sK11,X0),X1) )
    | ~ spl13_2 ),
    inference(resolution,[],[f283,f97]) ).

fof(f1176,plain,
    ( spl13_47
    | spl13_48
    | ~ spl13_46 ),
    inference(avatar_split_clause,[],[f1167,f1161,f1174,f1170]) ).

fof(f1167,plain,
    ( ! [X2] :
        ( ~ member(sK5(sK11,sK8),X2)
        | ~ member(sK7(sK11,sK8),X2)
        | apply(sK9,sK7(sK11,sK8),sK5(sK11,sK8))
        | ~ equivalence(sK9,X2) )
    | ~ spl13_46 ),
    inference(resolution,[],[f1163,f99]) ).

fof(f1164,plain,
    ( spl13_46
    | ~ spl13_17
    | ~ spl13_31
    | ~ spl13_40 ),
    inference(avatar_split_clause,[],[f1152,f1014,f756,f615,f1161]) ).

fof(f1152,plain,
    ( ~ member(sK7(sK11,sK8),sK11)
    | apply(sK9,sK5(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_31
    | ~ spl13_40 ),
    inference(resolution,[],[f1015,f758]) ).

fof(f1015,plain,
    ( ! [X5] :
        ( ~ apply(sK9,sK6(sK11,sK8),X5)
        | ~ member(X5,sK11)
        | apply(sK9,sK5(sK11,sK8),X5) )
    | ~ spl13_40 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1159,plain,
    ( spl13_45
    | ~ spl13_6
    | ~ spl13_40 ),
    inference(avatar_split_clause,[],[f1155,f1014,f428,f1157]) ).

fof(f1157,plain,
    ( spl13_45
  <=> ! [X0] :
        ( member(sK2(sK11,X0),sK11)
        | ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11)
        | apply(sK9,sK5(sK11,sK8),sK6(sK11,X0))
        | member(sK4(sK11,X0),sK11)
        | ~ member(sK6(sK11,X0),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).

fof(f1155,plain,
    ( ! [X0] :
        ( ~ member(sK6(sK11,sK8),sK11)
        | member(sK2(sK11,X0),sK11)
        | ~ member(sK6(sK11,X0),sK11)
        | member(sK4(sK11,X0),sK11)
        | apply(sK9,sK5(sK11,sK8),sK6(sK11,X0))
        | equivalence(X0,sK11)
        | ~ apply(sK8,sK6(sK11,sK8),sK6(sK11,X0)) )
    | ~ spl13_40 ),
    inference(resolution,[],[f1015,f156]) ).

fof(f1111,plain,
    ( ~ spl13_17
    | spl13_44
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f1094,f1064,f1109,f615]) ).

fof(f1109,plain,
    ( spl13_44
  <=> ! [X4] :
        ( apply(sK8,sK7(sK11,sK8),sK6(sK11,X4))
        | ~ member(sK6(sK11,X4),sK11)
        | member(sK4(sK11,X4),sK11)
        | equivalence(X4,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK6(sK11,X4))
        | ~ apply(sK10,sK7(sK11,sK8),sK6(sK11,X4))
        | member(sK3(sK11,X4),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).

fof(f1094,plain,
    ( ! [X4] :
        ( apply(sK8,sK7(sK11,sK8),sK6(sK11,X4))
        | member(sK3(sK11,X4),sK11)
        | ~ apply(sK10,sK7(sK11,sK8),sK6(sK11,X4))
        | ~ apply(sK9,sK6(sK11,sK8),sK6(sK11,X4))
        | equivalence(X4,sK11)
        | member(sK4(sK11,X4),sK11)
        | ~ member(sK6(sK11,X4),sK11)
        | ~ member(sK7(sK11,sK8),sK11) )
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f191]) ).

fof(f191,plain,
    ! [X16,X15] :
      ( ~ apply(sK9,X16,sK6(sK11,X15))
      | equivalence(X15,sK11)
      | ~ member(X16,sK11)
      | member(sK4(sK11,X15),sK11)
      | apply(sK8,X16,sK6(sK11,X15))
      | ~ apply(sK10,X16,sK6(sK11,X15))
      | member(sK3(sK11,X15),sK11) ),
    inference(resolution,[],[f95,f111]) ).

fof(f1107,plain,
    ( ~ spl13_17
    | spl13_43
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f1095,f1064,f1105,f615]) ).

fof(f1105,plain,
    ( spl13_43
  <=> ! [X5] :
        ( member(sK4(sK11,X5),sK11)
        | member(sK2(sK11,X5),sK11)
        | equivalence(X5,sK11)
        | apply(sK8,sK7(sK11,sK8),sK6(sK11,X5))
        | ~ apply(sK10,sK7(sK11,sK8),sK6(sK11,X5))
        | ~ apply(sK9,sK6(sK11,sK8),sK6(sK11,X5))
        | ~ member(sK6(sK11,X5),sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).

fof(f1095,plain,
    ( ! [X5] :
        ( member(sK4(sK11,X5),sK11)
        | ~ member(sK6(sK11,X5),sK11)
        | ~ apply(sK9,sK6(sK11,sK8),sK6(sK11,X5))
        | ~ apply(sK10,sK7(sK11,sK8),sK6(sK11,X5))
        | ~ member(sK7(sK11,sK8),sK11)
        | apply(sK8,sK7(sK11,sK8),sK6(sK11,X5))
        | equivalence(X5,sK11)
        | member(sK2(sK11,X5),sK11) )
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f155]) ).

fof(f155,plain,
    ! [X16,X15] :
      ( ~ apply(sK9,X16,sK6(sK11,X15))
      | member(sK4(sK11,X15),sK11)
      | ~ apply(sK10,X16,sK6(sK11,X15))
      | member(sK2(sK11,X15),sK11)
      | ~ member(X16,sK11)
      | equivalence(X15,sK11)
      | apply(sK8,X16,sK6(sK11,X15)) ),
    inference(resolution,[],[f59,f111]) ).

fof(f1103,plain,
    ( spl13_5
    | spl13_42
    | spl13_3
    | spl13_9
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(avatar_split_clause,[],[f1099,f1064,f135,f442,f140,f1101,f424]) ).

fof(f1099,plain,
    ( ! [X2,X3] :
        ( member(sK3(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | ~ member(X3,sK11)
        | ~ apply(sK9,X2,X3)
        | ~ member(X2,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),X2)
        | apply(sK9,sK7(sK11,sK8),X3)
        | member(sK4(sK11,sK8),sK11) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(duplicate_literal_removal,[],[f1093]) ).

fof(f1093,plain,
    ( ! [X2,X3] :
        ( apply(sK9,sK7(sK11,sK8),X3)
        | ~ member(X3,sK11)
        | ~ member(X2,sK11)
        | ~ member(X2,sK11)
        | member(sK4(sK11,sK8),sK11)
        | member(sK3(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | ~ apply(sK9,sK6(sK11,sK8),X2)
        | ~ apply(sK9,X2,X3) )
    | ~ spl13_2
    | ~ spl13_41 ),
    inference(resolution,[],[f1065,f294]) ).

fof(f1066,plain,
    ( spl13_3
    | ~ spl13_6
    | spl13_5
    | spl13_9
    | spl13_41
    | ~ spl13_2
    | ~ spl13_18 ),
    inference(avatar_split_clause,[],[f1055,f636,f135,f1064,f442,f424,f428,f140]) ).

fof(f1055,plain,
    ( ! [X7] :
        ( ~ apply(sK9,sK6(sK11,sK8),X7)
        | member(sK3(sK11,sK8),sK11)
        | member(sK4(sK11,sK8),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | equivalence(sK8,sK11)
        | apply(sK9,sK7(sK11,sK8),X7)
        | ~ member(X7,sK11) )
    | ~ spl13_2
    | ~ spl13_18 ),
    inference(resolution,[],[f294,f638]) ).

fof(f1016,plain,
    ( spl13_40
    | ~ spl13_6
    | spl13_5
    | spl13_9
    | spl13_3
    | ~ spl13_2
    | ~ spl13_28 ),
    inference(avatar_split_clause,[],[f1009,f738,f135,f140,f442,f424,f428,f1014]) ).

fof(f1009,plain,
    ( ! [X5] :
        ( equivalence(sK8,sK11)
        | member(sK3(sK11,sK8),sK11)
        | member(sK4(sK11,sK8),sK11)
        | ~ member(sK6(sK11,sK8),sK11)
        | apply(sK9,sK5(sK11,sK8),X5)
        | ~ apply(sK9,sK6(sK11,sK8),X5)
        | ~ member(X5,sK11) )
    | ~ spl13_2
    | ~ spl13_28 ),
    inference(resolution,[],[f290,f740]) ).

fof(f953,plain,
    ( ~ spl13_6
    | spl13_9
    | spl13_3
    | spl13_39
    | spl13_5
    | ~ spl13_1
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f944,f641,f130,f424,f951,f140,f442,f428]) ).

fof(f944,plain,
    ( ! [X8] :
        ( member(sK4(sK11,sK8),sK11)
        | ~ member(X8,sK11)
        | equivalence(sK8,sK11)
        | member(sK3(sK11,sK8),sK11)
        | ~ apply(sK10,X8,sK6(sK11,sK8))
        | ~ member(sK6(sK11,sK8),sK11)
        | apply(sK10,X8,sK5(sK11,sK8)) )
    | ~ spl13_1
    | ~ spl13_19 ),
    inference(resolution,[],[f284,f643]) ).

fof(f902,plain,
    ( spl13_5
    | spl13_9
    | spl13_3
    | spl13_28
    | ~ spl13_14
    | ~ spl13_35 ),
    inference(avatar_split_clause,[],[f899,f823,f601,f738,f140,f442,f424]) ).

fof(f899,plain,
    ( ~ member(sK5(sK11,sK8),sK11)
    | apply(sK9,sK5(sK11,sK8),sK6(sK11,sK8))
    | equivalence(sK8,sK11)
    | member(sK3(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ spl13_35 ),
    inference(resolution,[],[f825,f192]) ).

fof(f192,plain,
    ! [X18,X17] :
      ( ~ apply(sK8,X18,sK6(sK11,X17))
      | member(sK3(sK11,X17),sK11)
      | equivalence(X17,sK11)
      | apply(sK9,X18,sK6(sK11,X17))
      | ~ member(X18,sK11)
      | member(sK4(sK11,X17),sK11) ),
    inference(resolution,[],[f95,f110]) ).

fof(f850,plain,
    ( spl13_37
    | spl13_38
    | ~ spl13_16 ),
    inference(avatar_split_clause,[],[f841,f610,f848,f844]) ).

fof(f841,plain,
    ( ! [X0] :
        ( ~ equivalence(sK8,X0)
        | apply(sK8,sK6(sK11,sK8),sK7(sK11,sK8))
        | ~ member(sK7(sK11,sK8),X0)
        | ~ member(sK6(sK11,sK8),X0) )
    | ~ spl13_16 ),
    inference(resolution,[],[f612,f99]) ).

fof(f839,plain,
    ( spl13_5
    | spl13_9
    | spl13_3
    | spl13_16 ),
    inference(avatar_split_clause,[],[f837,f610,f140,f442,f424]) ).

fof(f837,plain,
    ( equivalence(sK8,sK11)
    | member(sK3(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | spl13_16 ),
    inference(resolution,[],[f611,f92]) ).

fof(f829,plain,
    ( spl13_35
    | spl13_36
    | ~ spl13_13 ),
    inference(avatar_split_clause,[],[f820,f596,f827,f823]) ).

fof(f827,plain,
    ( spl13_36
  <=> ! [X0] :
        ( ~ member(sK5(sK11,sK8),X0)
        | ~ member(sK6(sK11,sK8),X0)
        | ~ equivalence(sK8,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).

fof(f820,plain,
    ( ! [X0] :
        ( ~ member(sK5(sK11,sK8),X0)
        | ~ equivalence(sK8,X0)
        | ~ member(sK6(sK11,sK8),X0)
        | apply(sK8,sK5(sK11,sK8),sK6(sK11,sK8)) )
    | ~ spl13_13 ),
    inference(resolution,[],[f598,f99]) ).

fof(f803,plain,
    ( spl13_3
    | spl13_9
    | spl13_5
    | spl13_13 ),
    inference(avatar_split_clause,[],[f801,f596,f424,f442,f140]) ).

fof(f801,plain,
    ( member(sK4(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | spl13_13 ),
    inference(resolution,[],[f597,f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( apply(X1,sK6(X0,X1),sK5(X0,X1))
      | equivalence(X1,X0)
      | member(sK4(X0,X1),X0)
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f776,plain,
    ( spl13_33
    | spl13_34
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f767,f641,f773,f770]) ).

fof(f767,plain,
    ( ! [X0] :
        ( apply(sK10,sK5(sK11,sK8),sK6(sK11,sK8))
        | ~ member(sK6(sK11,sK8),X0)
        | ~ equivalence(sK10,X0)
        | ~ member(sK5(sK11,sK8),X0) )
    | ~ spl13_19 ),
    inference(resolution,[],[f643,f99]) ).

fof(f762,plain,
    ( spl13_31
    | spl13_32
    | ~ spl13_18 ),
    inference(avatar_split_clause,[],[f753,f636,f760,f756]) ).

fof(f753,plain,
    ( ! [X0] :
        ( ~ member(sK7(sK11,sK8),X0)
        | apply(sK9,sK6(sK11,sK8),sK7(sK11,sK8))
        | ~ equivalence(sK9,X0)
        | ~ member(sK6(sK11,sK8),X0) )
    | ~ spl13_18 ),
    inference(resolution,[],[f638,f99]) ).

fof(f750,plain,
    ( spl13_15
    | spl13_30
    | ~ spl13_7 ),
    inference(avatar_split_clause,[],[f745,f432,f748,f605]) ).

fof(f748,plain,
    ( spl13_30
  <=> ! [X0] :
        ( ~ equivalence(sK8,X0)
        | ~ member(sK2(sK11,sK8),X0)
        | ~ member(sK3(sK11,sK8),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).

fof(f745,plain,
    ( ! [X0] :
        ( ~ equivalence(sK8,X0)
        | apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
        | ~ member(sK3(sK11,sK8),X0)
        | ~ member(sK2(sK11,sK8),X0) )
    | ~ spl13_7 ),
    inference(resolution,[],[f434,f99]) ).

fof(f744,plain,
    ( spl13_28
    | spl13_29
    | ~ spl13_4 ),
    inference(avatar_split_clause,[],[f735,f420,f742,f738]) ).

fof(f735,plain,
    ( ! [X0] :
        ( ~ member(sK6(sK11,sK8),X0)
        | ~ equivalence(sK9,X0)
        | ~ member(sK5(sK11,sK8),X0)
        | apply(sK9,sK5(sK11,sK8),sK6(sK11,sK8)) )
    | ~ spl13_4 ),
    inference(resolution,[],[f422,f99]) ).

fof(f734,plain,
    ( spl13_27
    | ~ spl13_2
    | ~ spl13_17 ),
    inference(avatar_split_clause,[],[f722,f615,f135,f731]) ).

fof(f722,plain,
    ( apply(sK9,sK7(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_2
    | ~ spl13_17 ),
    inference(resolution,[],[f617,f146]) ).

fof(f729,plain,
    ( spl13_26
    | ~ spl13_1
    | ~ spl13_17 ),
    inference(avatar_split_clause,[],[f721,f615,f130,f726]) ).

fof(f721,plain,
    ( apply(sK10,sK7(sK11,sK8),sK7(sK11,sK8))
    | ~ spl13_1
    | ~ spl13_17 ),
    inference(resolution,[],[f617,f145]) ).

fof(f711,plain,
    ( spl13_5
    | spl13_3
    | spl13_9
    | spl13_17 ),
    inference(avatar_split_clause,[],[f709,f615,f442,f140,f424]) ).

fof(f709,plain,
    ( member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | spl13_17 ),
    inference(resolution,[],[f616,f96]) ).

fof(f708,plain,
    ( spl13_25
    | ~ spl13_2
    | ~ spl13_14 ),
    inference(avatar_split_clause,[],[f696,f601,f135,f705]) ).

fof(f696,plain,
    ( apply(sK9,sK5(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_2
    | ~ spl13_14 ),
    inference(resolution,[],[f603,f146]) ).

fof(f703,plain,
    ( spl13_24
    | ~ spl13_1
    | ~ spl13_14 ),
    inference(avatar_split_clause,[],[f695,f601,f130,f700]) ).

fof(f695,plain,
    ( apply(sK10,sK5(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_1
    | ~ spl13_14 ),
    inference(resolution,[],[f603,f145]) ).

fof(f691,plain,
    ( spl13_5
    | spl13_3
    | spl13_9
    | spl13_14 ),
    inference(avatar_split_clause,[],[f689,f601,f442,f140,f424]) ).

fof(f689,plain,
    ( member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | spl13_14 ),
    inference(resolution,[],[f602,f97]) ).

fof(f688,plain,
    ( spl13_23
    | ~ spl13_2
    | ~ spl13_8 ),
    inference(avatar_split_clause,[],[f676,f436,f135,f685]) ).

fof(f676,plain,
    ( apply(sK9,sK2(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_2
    | ~ spl13_8 ),
    inference(resolution,[],[f438,f146]) ).

fof(f683,plain,
    ( spl13_22
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(avatar_split_clause,[],[f675,f436,f130,f680]) ).

fof(f675,plain,
    ( apply(sK10,sK2(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_1
    | ~ spl13_8 ),
    inference(resolution,[],[f438,f145]) ).

fof(f669,plain,
    ( spl13_21
    | ~ spl13_2
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f657,f428,f135,f666]) ).

fof(f657,plain,
    ( apply(sK9,sK6(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_2
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f146]) ).

fof(f664,plain,
    ( spl13_20
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f656,f428,f130,f661]) ).

fof(f656,plain,
    ( apply(sK10,sK6(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_1
    | ~ spl13_6 ),
    inference(resolution,[],[f429,f145]) ).

fof(f650,plain,
    ( spl13_7
    | spl13_19
    | spl13_9
    | ~ spl13_6
    | spl13_5
    | spl13_3 ),
    inference(avatar_split_clause,[],[f491,f140,f424,f428,f442,f641,f432]) ).

fof(f491,plain,
    ( equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11)
    | apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8))
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8)) ),
    inference(duplicate_literal_removal,[],[f487]) ).

fof(f487,plain,
    ( member(sK4(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8))
    | equivalence(sK8,sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | member(sK3(sK11,sK8),sK11) ),
    inference(resolution,[],[f219,f81]) ).

fof(f219,plain,
    ! [X19,X20] :
      ( ~ apply(sK8,X20,sK5(sK11,X19))
      | apply(sK10,X20,sK5(sK11,X19))
      | member(sK3(sK11,X19),sK11)
      | member(sK4(sK11,X19),sK11)
      | ~ member(X20,sK11)
      | equivalence(X19,sK11) ),
    inference(resolution,[],[f97,f109]) ).

fof(f649,plain,
    ( spl13_5
    | spl13_17
    | spl13_3
    | spl13_7 ),
    inference(avatar_split_clause,[],[f506,f432,f140,f615,f424]) ).

fof(f506,plain,
    ( equivalence(sK8,sK11)
    | member(sK7(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | spl13_7 ),
    inference(resolution,[],[f433,f84]) ).

fof(f433,plain,
    ( ~ apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | spl13_7 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f648,plain,
    ( spl13_9
    | spl13_4
    | spl13_5
    | ~ spl13_6
    | spl13_3 ),
    inference(avatar_split_clause,[],[f485,f140,f428,f424,f420,f442]) ).

fof(f485,plain,
    ( equivalence(sK8,sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK3(sK11,sK8),sK11) ),
    inference(duplicate_literal_removal,[],[f482]) ).

fof(f482,plain,
    ( ~ member(sK6(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11)
    | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | equivalence(sK8,sK11)
    | member(sK3(sK11,sK8),sK11) ),
    inference(resolution,[],[f218,f93]) ).

fof(f218,plain,
    ! [X18,X17] :
      ( ~ apply(sK8,X18,sK5(sK11,X17))
      | member(sK4(sK11,X17),sK11)
      | equivalence(X17,sK11)
      | ~ member(X18,sK11)
      | member(sK3(sK11,X17),sK11)
      | apply(sK9,X18,sK5(sK11,X17)) ),
    inference(resolution,[],[f97,f110]) ).

fof(f647,plain,
    ( spl13_3
    | ~ spl13_6
    | spl13_7
    | spl13_9
    | spl13_5
    | spl13_4 ),
    inference(avatar_split_clause,[],[f484,f420,f424,f442,f432,f428,f140]) ).

fof(f484,plain,
    ( apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK4(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ member(sK6(sK11,sK8),sK11)
    | equivalence(sK8,sK11) ),
    inference(duplicate_literal_removal,[],[f481]) ).

fof(f481,plain,
    ( equivalence(sK8,sK11)
    | equivalence(sK8,sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK3(sK11,sK8),sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11) ),
    inference(resolution,[],[f218,f81]) ).

fof(f646,plain,
    ( spl13_14
    | spl13_5
    | spl13_3
    | spl13_7 ),
    inference(avatar_split_clause,[],[f505,f432,f140,f424,f601]) ).

fof(f505,plain,
    ( equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | member(sK5(sK11,sK8),sK11)
    | spl13_7 ),
    inference(resolution,[],[f433,f85]) ).

fof(f645,plain,
    ( spl13_8
    | ~ spl13_6
    | spl13_19
    | spl13_3
    | spl13_5 ),
    inference(avatar_split_clause,[],[f450,f424,f140,f641,f428,f436]) ).

fof(f450,plain,
    ( member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ member(sK6(sK11,sK8),sK11)
    | member(sK2(sK11,sK8),sK11) ),
    inference(duplicate_literal_removal,[],[f448]) ).

fof(f448,plain,
    ( equivalence(sK8,sK11)
    | member(sK2(sK11,sK8),sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK4(sK11,sK8),sK11)
    | member(sK2(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11) ),
    inference(resolution,[],[f183,f57]) ).

fof(f183,plain,
    ! [X19,X20] :
      ( ~ apply(sK8,X20,sK5(sK11,X19))
      | member(sK4(sK11,X19),sK11)
      | member(sK2(sK11,X19),sK11)
      | ~ member(X20,sK11)
      | equivalence(X19,sK11)
      | apply(sK10,X20,sK5(sK11,X19)) ),
    inference(resolution,[],[f61,f109]) ).

fof(f644,plain,
    ( spl13_19
    | spl13_3
    | spl13_5
    | spl13_9
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f490,f428,f442,f424,f140,f641]) ).

fof(f490,plain,
    ( ~ member(sK6(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8)) ),
    inference(duplicate_literal_removal,[],[f488]) ).

fof(f488,plain,
    ( apply(sK10,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK4(sK11,sK8),sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK3(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11) ),
    inference(resolution,[],[f219,f93]) ).

fof(f639,plain,
    ( spl13_9
    | spl13_5
    | spl13_3
    | ~ spl13_17
    | spl13_18 ),
    inference(avatar_split_clause,[],[f476,f636,f615,f140,f424,f442]) ).

fof(f476,plain,
    ( apply(sK9,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ member(sK7(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11) ),
    inference(duplicate_literal_removal,[],[f474]) ).

fof(f474,plain,
    ( apply(sK9,sK7(sK11,sK8),sK6(sK11,sK8))
    | member(sK4(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11)
    | ~ member(sK7(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | equivalence(sK8,sK11) ),
    inference(resolution,[],[f192,f92]) ).

fof(f634,plain,
    ( spl13_7
    | spl13_3
    | spl13_17
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f585,f566,f615,f140,f432]) ).

fof(f585,plain,
    ( member(sK7(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK2(X0,X1),sK3(X0,X1))
      | member(sK7(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f568,plain,
    ( apply(sK8,sK4(sK11,sK8),sK4(sK11,sK8))
    | ~ spl13_12 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f633,plain,
    ( spl13_8
    | spl13_17
    | spl13_3
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f575,f566,f140,f615,f436]) ).

fof(f575,plain,
    ( equivalence(sK8,sK11)
    | member(sK7(sK11,sK8),sK11)
    | member(sK2(sK11,sK8),sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | member(sK2(X0,X1),X0)
      | member(sK7(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f632,plain,
    ( spl13_7
    | spl13_16
    | spl13_3
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f582,f566,f140,f610,f432]) ).

fof(f582,plain,
    ( equivalence(sK8,sK11)
    | apply(sK8,sK7(sK11,sK8),sK6(sK11,sK8))
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | apply(X1,sK2(X0,X1),sK3(X0,X1))
      | apply(X1,sK7(X0,X1),sK6(X0,X1))
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f631,plain,
    ( ~ spl13_15
    | spl13_16
    | spl13_3
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f577,f566,f140,f610,f605]) ).

fof(f577,plain,
    ( equivalence(sK8,sK11)
    | apply(sK8,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | ~ apply(X1,sK3(X0,X1),sK2(X0,X1))
      | apply(X1,sK7(X0,X1),sK6(X0,X1))
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f630,plain,
    ( spl13_3
    | spl13_8
    | spl13_13
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f573,f566,f596,f436,f140]) ).

fof(f573,plain,
    ( apply(sK8,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK6(X0,X1),sK5(X0,X1))
      | member(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f629,plain,
    ( spl13_6
    | spl13_3
    | spl13_9
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f589,f566,f442,f140,f428]) ).

fof(f589,plain,
    ( member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK6(sK11,sK8),sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | member(sK3(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK6(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f628,plain,
    ( spl13_8
    | spl13_3
    | spl13_16
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f572,f566,f610,f140,f436]) ).

fof(f572,plain,
    ( apply(sK8,sK7(sK11,sK8),sK6(sK11,sK8))
    | equivalence(sK8,sK11)
    | member(sK2(sK11,sK8),sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK7(X0,X1),sK6(X0,X1))
      | member(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f627,plain,
    ( spl13_7
    | spl13_14
    | spl13_3
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f586,f566,f140,f601,f432]) ).

fof(f586,plain,
    ( equivalence(sK8,sK11)
    | member(sK5(sK11,sK8),sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | member(sK5(X0,X1),X0)
      | apply(X1,sK2(X0,X1),sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f626,plain,
    ( spl13_3
    | spl13_13
    | ~ spl13_15
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f578,f566,f605,f596,f140]) ).

fof(f578,plain,
    ( ~ apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
    | apply(sK8,sK6(sK11,sK8),sK5(sK11,sK8))
    | equivalence(sK8,sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | ~ apply(X1,sK3(X0,X1),sK2(X0,X1))
      | apply(X1,sK6(X0,X1),sK5(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f625,plain,
    ( spl13_9
    | spl13_14
    | spl13_3
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f591,f566,f140,f601,f442]) ).

fof(f591,plain,
    ( equivalence(sK8,sK11)
    | member(sK5(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | member(sK3(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK5(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f624,plain,
    ( spl13_3
    | spl13_17
    | ~ spl13_15
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f580,f566,f605,f615,f140]) ).

fof(f580,plain,
    ( ~ apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
    | member(sK7(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | member(sK7(X0,X1),X0)
      | equivalence(X1,X0)
      | ~ apply(X1,sK3(X0,X1),sK2(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f623,plain,
    ( ~ spl13_15
    | spl13_6
    | spl13_3
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f579,f566,f140,f428,f605]) ).

fof(f579,plain,
    ( equivalence(sK8,sK11)
    | member(sK6(sK11,sK8),sK11)
    | ~ apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | member(sK6(X0,X1),X0)
      | ~ apply(X1,sK3(X0,X1),sK2(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f622,plain,
    ( spl13_7
    | spl13_6
    | spl13_3
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f584,f566,f140,f428,f432]) ).

fof(f584,plain,
    ( equivalence(sK8,sK11)
    | member(sK6(sK11,sK8),sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | apply(X1,sK2(X0,X1),sK3(X0,X1))
      | member(sK6(X0,X1),X0)
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f621,plain,
    ( spl13_8
    | spl13_3
    | spl13_6
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f574,f566,f428,f140,f436]) ).

fof(f574,plain,
    ( member(sK6(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK2(sK11,sK8),sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | member(sK6(X0,X1),X0)
      | member(sK2(X0,X1),X0)
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f620,plain,
    ( spl13_8
    | spl13_3
    | spl13_14
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f576,f566,f601,f140,f436]) ).

fof(f576,plain,
    ( member(sK5(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK2(sK11,sK8),sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | member(sK5(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f619,plain,
    ( spl13_13
    | spl13_7
    | spl13_3
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f583,f566,f140,f432,f596]) ).

fof(f583,plain,
    ( equivalence(sK8,sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | apply(sK8,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK2(X0,X1),sK3(X0,X1))
      | apply(X1,sK6(X0,X1),sK5(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f618,plain,
    ( spl13_3
    | spl13_17
    | spl13_9
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f590,f566,f442,f615,f140]) ).

fof(f590,plain,
    ( member(sK3(sK11,sK8),sK11)
    | member(sK7(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | member(sK7(X0,X1),X0)
      | equivalence(X1,X0)
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f613,plain,
    ( spl13_16
    | spl13_3
    | spl13_9
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f587,f566,f442,f140,f610]) ).

fof(f587,plain,
    ( member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | apply(sK8,sK7(sK11,sK8),sK6(sK11,sK8))
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK7(X0,X1),sK6(X0,X1))
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f608,plain,
    ( spl13_14
    | ~ spl13_15
    | spl13_3
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f581,f566,f140,f605,f601]) ).

fof(f581,plain,
    ( equivalence(sK8,sK11)
    | ~ apply(sK8,sK3(sK11,sK8),sK2(sK11,sK8))
    | member(sK5(sK11,sK8),sK11)
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | member(sK5(X0,X1),X0)
      | ~ apply(X1,sK3(X0,X1),sK2(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f599,plain,
    ( spl13_13
    | spl13_3
    | spl13_9
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f588,f566,f442,f140,f596]) ).

fof(f588,plain,
    ( member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | apply(sK8,sK6(sK11,sK8),sK5(sK11,sK8))
    | ~ spl13_12 ),
    inference(resolution,[],[f568,f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
      | equivalence(X1,X0)
      | apply(X1,sK6(X0,X1),sK5(X0,X1))
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f569,plain,
    ( ~ spl13_10
    | ~ spl13_5
    | spl13_12
    | ~ spl13_5
    | ~ spl13_11 ),
    inference(avatar_split_clause,[],[f564,f469,f424,f566,f424,f464]) ).

fof(f464,plain,
    ( spl13_10
  <=> apply(sK9,sK4(sK11,sK8),sK4(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).

fof(f469,plain,
    ( spl13_11
  <=> apply(sK10,sK4(sK11,sK8),sK4(sK11,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).

fof(f564,plain,
    ( apply(sK8,sK4(sK11,sK8),sK4(sK11,sK8))
    | ~ member(sK4(sK11,sK8),sK11)
    | ~ apply(sK9,sK4(sK11,sK8),sK4(sK11,sK8))
    | ~ spl13_5
    | ~ spl13_11 ),
    inference(resolution,[],[f458,f471]) ).

fof(f471,plain,
    ( apply(sK10,sK4(sK11,sK8),sK4(sK11,sK8))
    | ~ spl13_11 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f458,plain,
    ( ! [X2] :
        ( ~ apply(sK10,X2,sK4(sK11,sK8))
        | apply(sK8,X2,sK4(sK11,sK8))
        | ~ member(X2,sK11)
        | ~ apply(sK9,X2,sK4(sK11,sK8)) )
    | ~ spl13_5 ),
    inference(resolution,[],[f426,f111]) ).

fof(f472,plain,
    ( spl13_11
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(avatar_split_clause,[],[f459,f424,f130,f469]) ).

fof(f459,plain,
    ( apply(sK10,sK4(sK11,sK8),sK4(sK11,sK8))
    | ~ spl13_1
    | ~ spl13_5 ),
    inference(resolution,[],[f426,f145]) ).

fof(f467,plain,
    ( spl13_10
    | ~ spl13_2
    | ~ spl13_5 ),
    inference(avatar_split_clause,[],[f460,f424,f135,f464]) ).

fof(f460,plain,
    ( apply(sK9,sK4(sK11,sK8),sK4(sK11,sK8))
    | ~ spl13_2
    | ~ spl13_5 ),
    inference(resolution,[],[f426,f146]) ).

fof(f455,plain,
    ( spl13_3
    | spl13_9
    | spl13_5
    | spl13_6 ),
    inference(avatar_split_clause,[],[f452,f428,f424,f442,f140]) ).

fof(f452,plain,
    ( member(sK4(sK11,sK8),sK11)
    | member(sK3(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | spl13_6 ),
    inference(resolution,[],[f430,f95]) ).

fof(f430,plain,
    ( ~ member(sK6(sK11,sK8),sK11)
    | spl13_6 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f454,plain,
    ( spl13_3
    | spl13_5
    | spl13_8
    | spl13_6 ),
    inference(avatar_split_clause,[],[f453,f428,f436,f424,f140]) ).

fof(f453,plain,
    ( member(sK2(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | spl13_6 ),
    inference(resolution,[],[f430,f59]) ).

fof(f445,plain,
    ( ~ spl13_6
    | spl13_9
    | spl13_3
    | spl13_8
    | spl13_5
    | spl13_4 ),
    inference(avatar_split_clause,[],[f416,f420,f424,f436,f140,f442,f428]) ).

fof(f416,plain,
    ( apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK4(sK11,sK8),sK11)
    | member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK3(sK11,sK8),sK11)
    | ~ member(sK6(sK11,sK8),sK11) ),
    inference(duplicate_literal_removal,[],[f414]) ).

fof(f414,plain,
    ( ~ member(sK6(sK11,sK8),sK11)
    | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK3(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11) ),
    inference(resolution,[],[f182,f93]) ).

fof(f182,plain,
    ! [X18,X17] :
      ( ~ apply(sK8,X18,sK5(sK11,X17))
      | member(sK2(sK11,X17),sK11)
      | member(sK4(sK11,X17),sK11)
      | equivalence(X17,sK11)
      | apply(sK9,X18,sK5(sK11,X17))
      | ~ member(X18,sK11) ),
    inference(resolution,[],[f61,f110]) ).

fof(f440,plain,
    ( ~ spl13_6
    | spl13_5
    | spl13_4
    | spl13_3
    | spl13_8 ),
    inference(avatar_split_clause,[],[f417,f436,f140,f420,f424,f428]) ).

fof(f417,plain,
    ( member(sK2(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK4(sK11,sK8),sK11)
    | ~ member(sK6(sK11,sK8),sK11) ),
    inference(duplicate_literal_removal,[],[f415]) ).

fof(f415,plain,
    ( member(sK2(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | ~ member(sK6(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | member(sK2(sK11,sK8),sK11) ),
    inference(resolution,[],[f182,f57]) ).

fof(f439,plain,
    ( spl13_4
    | spl13_3
    | spl13_5
    | ~ spl13_6
    | spl13_7
    | spl13_8 ),
    inference(avatar_split_clause,[],[f418,f436,f432,f428,f424,f140,f420]) ).

fof(f418,plain,
    ( member(sK2(sK11,sK8),sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ member(sK6(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8)) ),
    inference(duplicate_literal_removal,[],[f413]) ).

fof(f413,plain,
    ( member(sK2(sK11,sK8),sK11)
    | member(sK4(sK11,sK8),sK11)
    | equivalence(sK8,sK11)
    | member(sK4(sK11,sK8),sK11)
    | apply(sK8,sK2(sK11,sK8),sK3(sK11,sK8))
    | ~ member(sK6(sK11,sK8),sK11)
    | apply(sK9,sK6(sK11,sK8),sK5(sK11,sK8))
    | equivalence(sK8,sK11) ),
    inference(resolution,[],[f182,f81]) ).

fof(f143,plain,
    ~ spl13_3,
    inference(avatar_split_clause,[],[f112,f140]) ).

fof(f112,plain,
    ~ equivalence(sK8,sK11),
    inference(cnf_transformation,[],[f38]) ).

fof(f138,plain,
    spl13_2,
    inference(avatar_split_clause,[],[f113,f135]) ).

fof(f113,plain,
    equivalence(sK9,sK11),
    inference(cnf_transformation,[],[f38]) ).

fof(f133,plain,
    spl13_1,
    inference(avatar_split_clause,[],[f114,f130]) ).

fof(f114,plain,
    equivalence(sK10,sK11),
    inference(cnf_transformation,[],[f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:14:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (23662)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)
% 0.19/0.53  % (23670)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)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.56  % (23679)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)
% 0.19/0.56  % (23671)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)
% 0.19/0.57  % (23678)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)
% 0.19/0.58  % (23663)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.59  % (23656)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)
% 0.19/0.59  TRYING [4]
% 0.19/0.59  % (23658)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)
% 0.19/0.59  % (23660)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.59  % (23669)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.59  % (23663)Instruction limit reached!
% 0.19/0.59  % (23663)------------------------------
% 0.19/0.59  % (23663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (23663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (23663)Termination reason: Unknown
% 0.19/0.59  % (23663)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (23663)Memory used [KB]: 5500
% 0.19/0.59  % (23663)Time elapsed: 0.106 s
% 0.19/0.59  % (23659)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)
% 0.19/0.59  % (23663)Instructions burned: 8 (million)
% 0.19/0.59  % (23663)------------------------------
% 0.19/0.59  % (23663)------------------------------
% 0.19/0.61  % (23662)Instruction limit reached!
% 0.19/0.61  % (23662)------------------------------
% 0.19/0.61  % (23662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61  % (23662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61  % (23662)Termination reason: Unknown
% 0.19/0.61  % (23662)Termination phase: Finite model building SAT solving
% 0.19/0.61  
% 0.19/0.61  % (23662)Memory used [KB]: 7547
% 0.19/0.61  % (23662)Time elapsed: 0.186 s
% 0.19/0.61  % (23662)Instructions burned: 52 (million)
% 0.19/0.61  % (23662)------------------------------
% 0.19/0.61  % (23662)------------------------------
% 0.19/0.61  TRYING [1]
% 1.92/0.61  TRYING [2]
% 1.92/0.61  % (23681)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.92/0.61  TRYING [3]
% 1.92/0.61  % (23661)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.92/0.61  % (23676)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.92/0.61  % (23657)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)
% 1.92/0.62  % (23664)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.92/0.62  % (23677)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.92/0.62  % (23664)Instruction limit reached!
% 1.92/0.62  % (23664)------------------------------
% 1.92/0.62  % (23664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62  % (23664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62  % (23664)Termination reason: Unknown
% 1.92/0.62  % (23664)Termination phase: Property scanning
% 1.92/0.62  
% 1.92/0.62  % (23664)Memory used [KB]: 1023
% 1.92/0.62  % (23664)Time elapsed: 0.003 s
% 1.92/0.62  % (23664)Instructions burned: 3 (million)
% 1.92/0.62  % (23664)------------------------------
% 1.92/0.62  % (23664)------------------------------
% 1.92/0.62  % (23668)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.92/0.63  % (23685)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)
% 1.92/0.63  % (23683)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)
% 1.92/0.63  % (23674)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.92/0.63  % (23684)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.92/0.63  % (23666)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.18/0.63  % (23682)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)
% 2.18/0.64  % (23675)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)
% 2.18/0.64  % (23672)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)
% 2.18/0.64  % (23667)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.18/0.64  % (23657)Refutation not found, incomplete strategy% (23657)------------------------------
% 2.18/0.64  % (23657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.64  % (23657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.64  % (23657)Termination reason: Refutation not found, incomplete strategy
% 2.18/0.64  
% 2.18/0.64  % (23657)Memory used [KB]: 5500
% 2.18/0.64  % (23657)Time elapsed: 0.222 s
% 2.18/0.64  % (23657)Instructions burned: 5 (million)
% 2.18/0.64  % (23657)------------------------------
% 2.18/0.64  % (23657)------------------------------
% 2.18/0.65  % (23673)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.18/0.65  % (23680)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.18/0.65  TRYING [1]
% 2.18/0.65  TRYING [2]
% 2.45/0.66  % (23670)Instruction limit reached!
% 2.45/0.66  % (23670)------------------------------
% 2.45/0.66  % (23670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.66  % (23670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.66  % (23670)Termination reason: Unknown
% 2.45/0.66  % (23670)Termination phase: Saturation
% 2.45/0.66  
% 2.45/0.66  % (23670)Memory used [KB]: 6908
% 2.45/0.66  % (23670)Time elapsed: 0.055 s
% 2.45/0.66  % (23670)Instructions burned: 69 (million)
% 2.45/0.66  % (23670)------------------------------
% 2.45/0.66  % (23670)------------------------------
% 2.45/0.67  % (23665)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)
% 2.45/0.68  TRYING [3]
% 2.45/0.68  TRYING [4]
% 2.45/0.69  % (23671)Instruction limit reached!
% 2.45/0.69  % (23671)------------------------------
% 2.45/0.69  % (23671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.69  % (23671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.69  % (23671)Termination reason: Unknown
% 2.45/0.69  % (23671)Termination phase: Saturation
% 2.45/0.69  
% 2.45/0.69  % (23671)Memory used [KB]: 2430
% 2.45/0.69  % (23671)Time elapsed: 0.196 s
% 2.45/0.69  % (23671)Instructions burned: 75 (million)
% 2.45/0.69  % (23671)------------------------------
% 2.45/0.69  % (23671)------------------------------
% 2.45/0.70  % (23658)Instruction limit reached!
% 2.45/0.70  % (23658)------------------------------
% 2.45/0.70  % (23658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.70  % (23658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.70  % (23658)Termination reason: Unknown
% 2.45/0.70  % (23658)Termination phase: Saturation
% 2.45/0.70  
% 2.45/0.70  % (23658)Memory used [KB]: 1535
% 2.45/0.70  % (23658)Time elapsed: 0.266 s
% 2.45/0.70  % (23658)Instructions burned: 37 (million)
% 2.45/0.70  % (23658)------------------------------
% 2.45/0.70  % (23658)------------------------------
% 2.45/0.72  TRYING [4]
% 2.87/0.73  % (23660)Instruction limit reached!
% 2.87/0.73  % (23660)------------------------------
% 2.87/0.73  % (23660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.73  % (23660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.73  % (23660)Termination reason: Unknown
% 2.87/0.73  % (23660)Termination phase: Saturation
% 2.87/0.73  
% 2.87/0.73  % (23660)Memory used [KB]: 6652
% 2.87/0.73  % (23660)Time elapsed: 0.312 s
% 2.87/0.73  % (23660)Instructions burned: 51 (million)
% 2.87/0.73  % (23660)------------------------------
% 2.87/0.73  % (23660)------------------------------
% 2.87/0.74  % (23673)Instruction limit reached!
% 2.87/0.74  % (23673)------------------------------
% 2.87/0.74  % (23673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.74  % (23673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.74  % (23673)Termination reason: Unknown
% 2.87/0.74  % (23673)Termination phase: Finite model building constraint generation
% 2.87/0.74  
% 2.87/0.74  % (23673)Memory used [KB]: 7547
% 2.87/0.74  % (23673)Time elapsed: 0.300 s
% 2.87/0.74  % (23673)Instructions burned: 59 (million)
% 2.87/0.74  % (23673)------------------------------
% 2.87/0.74  % (23673)------------------------------
% 2.87/0.75  % (23661)Instruction limit reached!
% 2.87/0.75  % (23661)------------------------------
% 2.87/0.75  % (23661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.75  % (23661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.75  % (23661)Termination reason: Unknown
% 2.87/0.75  % (23661)Termination phase: Saturation
% 2.87/0.75  
% 2.87/0.75  % (23661)Memory used [KB]: 6140
% 2.87/0.75  % (23661)Time elapsed: 0.338 s
% 2.87/0.75  % (23661)Instructions burned: 48 (million)
% 2.87/0.75  % (23661)------------------------------
% 2.87/0.75  % (23661)------------------------------
% 3.10/0.78  % (23659)Instruction limit reached!
% 3.10/0.78  % (23659)------------------------------
% 3.10/0.78  % (23659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.78  % (23659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.78  % (23659)Termination reason: Unknown
% 3.10/0.78  % (23659)Termination phase: Saturation
% 3.10/0.78  
% 3.10/0.78  % (23659)Memory used [KB]: 6012
% 3.10/0.78  % (23659)Time elapsed: 0.368 s
% 3.10/0.78  % (23659)Instructions burned: 51 (million)
% 3.10/0.78  % (23659)------------------------------
% 3.10/0.78  % (23659)------------------------------
% 3.10/0.79  % (23666)Instruction limit reached!
% 3.10/0.79  % (23666)------------------------------
% 3.10/0.79  % (23666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.79  % (23666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.79  % (23666)Termination reason: Unknown
% 3.10/0.79  % (23666)Termination phase: Saturation
% 3.10/0.79  
% 3.10/0.79  % (23666)Memory used [KB]: 6524
% 3.10/0.79  % (23666)Time elapsed: 0.364 s
% 3.10/0.79  % (23666)Instructions burned: 51 (million)
% 3.10/0.79  % (23666)------------------------------
% 3.10/0.79  % (23666)------------------------------
% 3.10/0.79  % (23719)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)
% 3.10/0.82  % (23665)Instruction limit reached!
% 3.10/0.82  % (23665)------------------------------
% 3.10/0.82  % (23665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.82  % (23665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.82  % (23665)Termination reason: Unknown
% 3.10/0.82  % (23665)Termination phase: Saturation
% 3.10/0.82  
% 3.10/0.82  % (23665)Memory used [KB]: 2302
% 3.10/0.82  % (23665)Time elapsed: 0.395 s
% 3.10/0.82  % (23665)Instructions burned: 52 (million)
% 3.10/0.82  % (23665)------------------------------
% 3.10/0.82  % (23665)------------------------------
% 3.10/0.83  % (23682)Instruction limit reached!
% 3.10/0.83  % (23682)------------------------------
% 3.10/0.83  % (23682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.83  % (23682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.83  % (23682)Termination reason: Unknown
% 3.10/0.83  % (23682)Termination phase: Saturation
% 3.10/0.83  
% 3.10/0.83  % (23682)Memory used [KB]: 6780
% 3.10/0.83  % (23682)Time elapsed: 0.059 s
% 3.10/0.83  % (23682)Instructions burned: 68 (million)
% 3.10/0.83  % (23682)------------------------------
% 3.10/0.83  % (23682)------------------------------
% 3.52/0.85  TRYING [5]
% 3.52/0.85  % (23724)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.52/0.86  % (23669)Instruction limit reached!
% 3.52/0.86  % (23669)------------------------------
% 3.52/0.86  % (23669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.86  % (23669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.86  % (23669)Termination reason: Unknown
% 3.52/0.86  % (23669)Termination phase: Saturation
% 3.52/0.86  
% 3.52/0.86  % (23669)Memory used [KB]: 6908
% 3.52/0.86  % (23669)Time elapsed: 0.451 s
% 3.52/0.86  % (23669)Instructions burned: 99 (million)
% 3.52/0.86  % (23669)------------------------------
% 3.52/0.86  % (23669)------------------------------
% 3.69/0.87  % (23720)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)
% 3.69/0.89  % (23722)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.69/0.90  % (23674)Instruction limit reached!
% 3.69/0.90  % (23674)------------------------------
% 3.69/0.90  % (23674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.69/0.90  % (23674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.69/0.90  % (23674)Termination reason: Unknown
% 3.69/0.90  % (23674)Termination phase: Saturation
% 3.69/0.90  
% 3.69/0.90  % (23674)Memory used [KB]: 7291
% 3.69/0.90  % (23674)Time elapsed: 0.487 s
% 3.69/0.90  % (23674)Instructions burned: 100 (million)
% 3.69/0.90  % (23674)------------------------------
% 3.69/0.90  % (23674)------------------------------
% 3.69/0.90  % (23668)Instruction limit reached!
% 3.69/0.90  % (23668)------------------------------
% 3.69/0.90  % (23668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.69/0.90  % (23668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.69/0.90  % (23668)Termination reason: Unknown
% 3.69/0.90  % (23668)Termination phase: Saturation
% 3.69/0.90  
% 3.69/0.90  % (23668)Memory used [KB]: 6780
% 3.69/0.90  % (23668)Time elapsed: 0.470 s
% 3.69/0.90  % (23668)Instructions burned: 102 (million)
% 3.69/0.90  % (23668)------------------------------
% 3.69/0.90  % (23668)------------------------------
% 3.69/0.91  % (23675)Instruction limit reached!
% 3.69/0.91  % (23675)------------------------------
% 3.69/0.91  % (23675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.69/0.91  % (23675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.69/0.91  % (23675)Termination reason: Unknown
% 3.69/0.91  % (23675)Termination phase: Saturation
% 3.69/0.91  
% 3.69/0.91  % (23675)Memory used [KB]: 2174
% 3.69/0.91  % (23675)Time elapsed: 0.487 s
% 3.69/0.91  % (23675)Instructions burned: 100 (million)
% 3.69/0.91  % (23675)------------------------------
% 3.69/0.91  % (23675)------------------------------
% 3.96/0.93  % (23672)Instruction limit reached!
% 3.96/0.93  % (23672)------------------------------
% 3.96/0.93  % (23672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.96/0.93  % (23672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.96/0.93  % (23672)Termination reason: Unknown
% 3.96/0.93  % (23672)Termination phase: Saturation
% 3.96/0.93  
% 3.96/0.93  % (23672)Memory used [KB]: 6908
% 3.96/0.93  % (23672)Time elapsed: 0.503 s
% 3.96/0.93  % (23672)Instructions burned: 99 (million)
% 3.96/0.93  % (23672)------------------------------
% 3.96/0.93  % (23672)------------------------------
% 3.96/0.93  % (23718)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.96/0.93  % (23679)Instruction limit reached!
% 3.96/0.93  % (23679)------------------------------
% 3.96/0.93  % (23679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.96/0.93  % (23679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.96/0.93  % (23679)Termination reason: Unknown
% 3.96/0.93  % (23679)Termination phase: Saturation
% 3.96/0.93  
% 3.96/0.93  % (23679)Memory used [KB]: 9210
% 3.96/0.93  % (23679)Time elapsed: 0.447 s
% 3.96/0.93  % (23679)Instructions burned: 467 (million)
% 3.96/0.93  % (23679)------------------------------
% 3.96/0.93  % (23679)------------------------------
% 3.96/0.94  % (23726)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 (2996ds/655Mi)
% 4.04/0.97  % (23728)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 (2996ds/68Mi)
% 4.04/0.99  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.04/0.99  % (23731)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)
% 4.04/0.99  % (23730)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)
% 4.04/0.99  % (23751)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 (2994ds/2134Mi)
% 4.20/1.03  % (23734)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 4.20/1.04  % (23667)Instruction limit reached!
% 4.20/1.04  % (23667)------------------------------
% 4.20/1.04  % (23667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.20/1.04  % (23667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.20/1.04  % (23667)Termination reason: Unknown
% 4.20/1.04  % (23667)Termination phase: Saturation
% 4.20/1.04  
% 4.20/1.04  % (23667)Memory used [KB]: 6652
% 4.20/1.04  % (23667)Time elapsed: 0.594 s
% 4.20/1.04  % (23667)Instructions burned: 100 (million)
% 4.20/1.04  % (23667)------------------------------
% 4.20/1.04  % (23667)------------------------------
% 4.20/1.05  % (23738)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.20/1.06  % (23725)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 (2996ds/747Mi)
% 4.20/1.06  % (23740)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 (2995ds/4958Mi)
% 4.29/1.10  % (23744)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4959Mi)
% 4.29/1.12  % (23683)Instruction limit reached!
% 4.29/1.12  % (23683)------------------------------
% 4.29/1.12  % (23683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.29/1.12  % (23683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.29/1.12  % (23683)Termination reason: Unknown
% 4.29/1.12  % (23683)Termination phase: Saturation
% 4.29/1.12  
% 4.29/1.12  % (23683)Memory used [KB]: 4221
% 4.29/1.12  % (23683)Time elapsed: 0.700 s
% 4.29/1.12  % (23683)Instructions burned: 178 (million)
% 4.29/1.12  % (23683)------------------------------
% 4.29/1.12  % (23683)------------------------------
% 4.29/1.12  % (23720)Instruction limit reached!
% 4.29/1.12  % (23720)------------------------------
% 4.29/1.12  % (23720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.29/1.12  % (23720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.29/1.12  % (23720)Termination reason: Unknown
% 4.29/1.12  % (23720)Termination phase: Saturation
% 4.29/1.12  
% 4.29/1.12  % (23720)Memory used [KB]: 7036
% 4.29/1.12  % (23720)Time elapsed: 0.399 s
% 4.29/1.12  % (23720)Instructions burned: 90 (million)
% 4.29/1.12  % (23720)------------------------------
% 4.29/1.12  % (23720)------------------------------
% 4.29/1.13  % (23745)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 4.29/1.13  % (23676)Instruction limit reached!
% 4.29/1.13  % (23676)------------------------------
% 4.29/1.13  % (23676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.29/1.13  % (23676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.29/1.13  % (23676)Termination reason: Unknown
% 4.29/1.13  % (23676)Termination phase: Saturation
% 4.29/1.13  
% 4.29/1.13  % (23676)Memory used [KB]: 7803
% 4.29/1.13  % (23676)Time elapsed: 0.701 s
% 4.29/1.13  % (23676)Instructions burned: 177 (million)
% 4.29/1.13  % (23676)------------------------------
% 4.29/1.13  % (23676)------------------------------
% 4.29/1.14  % (23728)Instruction limit reached!
% 4.29/1.14  % (23728)------------------------------
% 4.29/1.14  % (23728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.29/1.14  % (23728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.29/1.14  % (23728)Termination reason: Unknown
% 4.29/1.14  % (23728)Termination phase: Saturation
% 4.29/1.14  
% 4.29/1.14  % (23728)Memory used [KB]: 6780
% 4.29/1.14  % (23728)Time elapsed: 0.053 s
% 4.29/1.14  % (23728)Instructions burned: 69 (million)
% 4.29/1.14  % (23728)------------------------------
% 4.29/1.14  % (23728)------------------------------
% 4.29/1.14  % (23748)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 4.29/1.15  % (23746)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 4.29/1.15  % (23733)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 6.35/1.19  % (23677)Instruction limit reached!
% 6.35/1.19  % (23677)------------------------------
% 6.35/1.19  % (23677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/1.19  % (23677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/1.19  % (23677)Termination reason: Unknown
% 6.35/1.19  % (23677)Termination phase: Saturation
% 6.35/1.19  
% 6.35/1.19  % (23677)Memory used [KB]: 7803
% 6.35/1.19  % (23677)Time elapsed: 0.764 s
% 6.35/1.19  % (23677)Instructions burned: 139 (million)
% 6.35/1.19  % (23677)------------------------------
% 6.35/1.19  % (23677)------------------------------
% 6.62/1.22  % (23750)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 6.62/1.22  TRYING [6]
% 6.62/1.24  % (23719)Instruction limit reached!
% 6.62/1.24  % (23719)------------------------------
% 6.62/1.24  % (23719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.62/1.24  % (23719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.62/1.24  % (23719)Termination reason: Unknown
% 6.62/1.24  % (23719)Termination phase: Saturation
% 6.62/1.24  
% 6.62/1.24  % (23719)Memory used [KB]: 5245
% 6.62/1.24  % (23719)Time elapsed: 0.566 s
% 6.62/1.24  % (23719)Instructions burned: 211 (million)
% 6.62/1.24  % (23719)------------------------------
% 6.62/1.24  % (23719)------------------------------
% 7.42/1.32  % (23748)Instruction limit reached!
% 7.42/1.32  % (23748)------------------------------
% 7.42/1.32  % (23748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.42/1.32  % (23748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.42/1.32  % (23748)Termination reason: Unknown
% 7.42/1.32  % (23748)Termination phase: Saturation
% 7.42/1.32  
% 7.42/1.32  % (23748)Memory used [KB]: 6780
% 7.42/1.32  % (23748)Time elapsed: 0.054 s
% 7.42/1.32  % (23748)Instructions burned: 68 (million)
% 7.42/1.32  % (23748)------------------------------
% 7.42/1.32  % (23748)------------------------------
% 7.60/1.36  % (23760)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4585Mi)
% 7.60/1.36  % (23763)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.60/1.37  % (23762)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2016Mi)
% 7.60/1.37  % (23757)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 7.60/1.39  % (23761)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/90Mi)
% 7.60/1.43  % (23769)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 8.24/1.45  % (23678)Instruction limit reached!
% 8.24/1.45  % (23678)------------------------------
% 8.24/1.45  % (23678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.24/1.45  % (23678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.24/1.45  % (23678)Termination reason: Unknown
% 8.24/1.45  % (23678)Termination phase: Saturation
% 8.24/1.45  
% 8.24/1.45  % (23678)Memory used [KB]: 5884
% 8.24/1.45  % (23678)Time elapsed: 1.040 s
% 8.24/1.45  % (23678)Instructions burned: 498 (million)
% 8.24/1.45  % (23678)------------------------------
% 8.24/1.45  % (23678)------------------------------
% 8.24/1.46  % (23733)Instruction limit reached!
% 8.24/1.46  % (23733)------------------------------
% 8.24/1.46  % (23733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.24/1.46  % (23733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.24/1.46  % (23733)Termination reason: Unknown
% 8.24/1.46  % (23733)Termination phase: Saturation
% 8.24/1.46  
% 8.24/1.46  % (23733)Memory used [KB]: 7164
% 8.24/1.46  % (23733)Time elapsed: 0.618 s
% 8.24/1.46  % (23733)Instructions burned: 90 (million)
% 8.24/1.46  % (23733)------------------------------
% 8.24/1.46  % (23733)------------------------------
% 8.67/1.50  % (23765)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9965Mi)
% 9.09/1.58  % (23772)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9902Mi)
% 9.36/1.61  % (23685)Instruction limit reached!
% 9.36/1.61  % (23685)------------------------------
% 9.36/1.61  % (23685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.36/1.61  % (23685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.36/1.61  % (23685)Termination reason: Unknown
% 9.36/1.61  % (23685)Termination phase: Saturation
% 9.36/1.61  
% 9.36/1.61  % (23685)Memory used [KB]: 11641
% 9.36/1.61  % (23685)Time elapsed: 1.185 s
% 9.36/1.61  % (23685)Instructions burned: 356 (million)
% 9.36/1.61  % (23685)------------------------------
% 9.36/1.61  % (23685)------------------------------
% 9.36/1.61  % (23761)Instruction limit reached!
% 9.36/1.61  % (23761)------------------------------
% 9.36/1.61  % (23761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.36/1.61  % (23761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.36/1.61  % (23761)Termination reason: Unknown
% 9.36/1.61  % (23761)Termination phase: Saturation
% 9.36/1.61  
% 9.36/1.61  % (23761)Memory used [KB]: 7164
% 9.36/1.61  % (23761)Time elapsed: 0.422 s
% 9.36/1.61  % (23761)Instructions burned: 91 (million)
% 9.36/1.61  % (23761)------------------------------
% 9.36/1.61  % (23761)------------------------------
% 9.36/1.63  % (23774)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 (2988ds/1824Mi)
% 11.18/1.77  % (23775)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9989Mi)
% 11.65/1.86  % (23777)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/9707Mi)
% 11.89/1.86  % (23684)Instruction limit reached!
% 11.89/1.86  % (23684)------------------------------
% 11.89/1.86  % (23684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.89/1.86  % (23684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.89/1.86  % (23684)Termination reason: Unknown
% 11.89/1.86  % (23684)Termination phase: Saturation
% 11.89/1.86  
% 11.89/1.86  % (23684)Memory used [KB]: 15479
% 11.89/1.86  % (23684)Time elapsed: 1.405 s
% 11.89/1.86  % (23684)Instructions burned: 440 (million)
% 11.89/1.86  % (23684)------------------------------
% 11.89/1.86  % (23684)------------------------------
% 11.89/1.87  % (23778)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)
% 11.89/1.92  TRYING [7]
% 12.68/2.00  % (23680)Instruction limit reached!
% 12.68/2.00  % (23680)------------------------------
% 12.68/2.00  % (23680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.68/2.00  % (23680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.68/2.00  % (23680)Termination reason: Unknown
% 12.68/2.00  % (23680)Termination phase: Saturation
% 12.68/2.00  
% 12.68/2.00  % (23680)Memory used [KB]: 11513
% 12.68/2.00  % (23680)Time elapsed: 1.558 s
% 12.68/2.00  % (23680)Instructions burned: 482 (million)
% 12.68/2.00  % (23680)------------------------------
% 12.68/2.00  % (23680)------------------------------
% 13.48/2.09  % (23778)Instruction limit reached!
% 13.48/2.09  % (23778)------------------------------
% 13.48/2.09  % (23778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.48/2.09  % (23778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.48/2.09  % (23778)Termination reason: Unknown
% 13.48/2.09  % (23778)Termination phase: Saturation
% 13.48/2.09  
% 13.48/2.09  % (23778)Memory used [KB]: 6908
% 13.48/2.09  % (23778)Time elapsed: 0.402 s
% 13.48/2.09  % (23778)Instructions burned: 90 (million)
% 13.48/2.09  % (23778)------------------------------
% 13.48/2.09  % (23778)------------------------------
% 13.48/2.11  % (23784)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 (2984ds/44001Mi)
% 14.13/2.18  % (23681)Instruction limit reached!
% 14.13/2.18  % (23681)------------------------------
% 14.13/2.18  % (23681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.13/2.18  % (23681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.13/2.18  % (23681)Termination reason: Unknown
% 14.13/2.18  % (23681)Termination phase: Saturation
% 14.13/2.18  
% 14.13/2.18  % (23681)Memory used [KB]: 11769
% 14.13/2.18  % (23681)Time elapsed: 1.765 s
% 14.13/2.18  % (23681)Instructions burned: 500 (million)
% 14.13/2.18  % (23681)------------------------------
% 14.13/2.18  % (23681)------------------------------
% 14.65/2.25  % (23785)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 (2983ds/4958Mi)
% 15.29/2.31  % (23718)Instruction limit reached!
% 15.29/2.31  % (23718)------------------------------
% 15.29/2.31  % (23718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.29/2.31  % (23718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.29/2.31  % (23718)Termination reason: Unknown
% 15.29/2.31  % (23718)Termination phase: Saturation
% 15.29/2.31  
% 15.29/2.31  % (23718)Memory used [KB]: 10234
% 15.29/2.31  % (23718)Time elapsed: 1.636 s
% 15.29/2.31  % (23718)Instructions burned: 388 (million)
% 15.29/2.31  % (23718)------------------------------
% 15.29/2.31  % (23718)------------------------------
% 15.29/2.34  % (23788)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 (2982ds/35256Mi)
% 16.36/2.47  % (23751)Instruction limit reached!
% 16.36/2.47  % (23751)------------------------------
% 16.36/2.47  % (23751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.36/2.47  % (23751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.36/2.47  % (23751)Termination reason: Unknown
% 16.36/2.47  % (23751)Termination phase: Saturation
% 16.36/2.47  
% 16.36/2.47  % (23751)Memory used [KB]: 30575
% 16.36/2.47  % (23751)Time elapsed: 1.480 s
% 16.36/2.47  % (23751)Instructions burned: 2134 (million)
% 16.36/2.47  % (23751)------------------------------
% 16.36/2.47  % (23751)------------------------------
% 16.36/2.52  % (23790)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 (2981ds/32293Mi)
% 17.08/2.53  % (23792)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/10187Mi)
% 18.10/2.68  % (23791)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 (2980ds/37001Mi)
% 18.51/2.75  % (23724)Instruction limit reached!
% 18.51/2.75  % (23724)------------------------------
% 18.51/2.75  % (23724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.51/2.75  % (23724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.51/2.75  % (23724)Termination reason: Unknown
% 18.51/2.75  % (23724)Termination phase: Saturation
% 18.51/2.75  
% 18.51/2.75  % (23724)Memory used [KB]: 23283
% 18.51/2.75  % (23724)Time elapsed: 2.014 s
% 18.51/2.75  % (23724)Instructions burned: 934 (million)
% 18.51/2.75  % (23724)------------------------------
% 18.51/2.75  % (23724)------------------------------
% 20.35/2.94  % (23795)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 (2976ds/29337Mi)
% 20.35/2.97  % (23726)Instruction limit reached!
% 20.35/2.97  % (23726)------------------------------
% 20.35/2.97  % (23726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.35/2.97  % (23726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.35/2.97  % (23726)Termination reason: Unknown
% 20.35/2.97  % (23726)Termination phase: Saturation
% 20.35/2.97  
% 20.35/2.97  % (23726)Memory used [KB]: 7036
% 20.35/2.97  % (23726)Time elapsed: 2.188 s
% 20.35/2.97  % (23726)Instructions burned: 656 (million)
% 20.35/2.97  % (23726)------------------------------
% 20.35/2.97  % (23726)------------------------------
% 21.00/3.06  TRYING [8]
% 22.51/3.28  % (23750)First to succeed.
% 23.27/3.35  % (23797)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 (2973ds/10147Mi)
% 23.27/3.36  % (23750)Refutation found. Thanks to Tanya!
% 23.27/3.36  % SZS status Theorem for theBenchmark
% 23.27/3.36  % SZS output start Proof for theBenchmark
% See solution above
% 23.27/3.37  % (23750)------------------------------
% 23.27/3.37  % (23750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.27/3.37  % (23750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.27/3.37  % (23750)Termination reason: Refutation
% 23.27/3.37  
% 23.27/3.37  % (23750)Memory used [KB]: 5373
% 23.27/3.37  % (23750)Time elapsed: 2.263 s
% 23.27/3.37  % (23750)Instructions burned: 815 (million)
% 23.27/3.37  % (23750)------------------------------
% 23.27/3.37  % (23750)------------------------------
% 23.27/3.37  % (23655)Success in time 3.011 s
%------------------------------------------------------------------------------