TSTP Solution File: ITP004+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP004+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Mon May 20 22:42:07 EDT 2024

% Result   : Theorem 4.10s 0.97s
% Output   : Refutation 4.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   82
% Syntax   : Number of formulae    : 1651 (  77 unt;   0 def)
%            Number of atoms       : 7097 (1408 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives : 9487 (4041   ~;5220   |;  57   &)
%                                         (  74 <=>;  93  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :   55 (  53 usr;  51 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   7 con; 0-3 aty)
%            Number of variables   : 2365 (2350   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10402,plain,
    $false,
    inference(avatar_sat_refutation,[],[f603,f640,f664,f681,f706,f733,f811,f836,f840,f914,f1134,f1190,f1237,f1269,f1343,f1356,f1404,f1415,f1584,f1711,f1743,f1774,f1792,f1879,f1881,f1883,f1885,f1887,f1889,f1891,f1893,f1895,f1897,f1899,f1979,f2009,f2011,f2013,f2021,f2023,f2025,f2027,f2029,f2032,f2034,f2036,f2038,f2040,f2042,f2044,f2046,f2048,f2310,f2318,f2329,f2381,f2383,f2509,f2513,f2741,f2749,f2754,f2825,f2910,f3027,f3339,f5627,f6354,f6358,f7220,f7224,f7301,f7556,f7627,f10396]) ).

fof(f10396,plain,
    ( ~ spl5_7
    | ~ spl5_9 ),
    inference(avatar_contradiction_clause,[],[f10395]) ).

fof(f10395,plain,
    ( $false
    | ~ spl5_7
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f10394,f96]) ).

fof(f96,plain,
    ne(sK0),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1))
    & mem(sK1,arr(sK0,bool))
    & ne(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f49,f75,f74]) ).

fof(f74,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(c_2Epred__set_2EREST(X0),X1)),X1))
            & mem(X1,arr(X0,bool)) )
        & ne(X0) )
   => ( ? [X1] :
          ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),X1)),X1))
          & mem(X1,arr(sK0,bool)) )
      & ne(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ( ? [X1] :
        ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),X1)),X1))
        & mem(X1,arr(sK0,bool)) )
   => ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1))
      & mem(sK1,arr(sK0,bool)) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(c_2Epred__set_2EREST(X0),X1)),X1))
          & mem(X1,arr(X0,bool)) )
      & ne(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ ! [X0] :
        ( ne(X0)
       => ! [X1] :
            ( mem(X1,arr(X0,bool))
           => p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(c_2Epred__set_2EREST(X0),X1)),X1)) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ! [X8] :
        ( ne(X8)
       => ! [X9] :
            ( mem(X9,arr(X8,bool))
           => p(ap(ap(c_2Epred__set_2ESUBSET(X8),ap(c_2Epred__set_2EREST(X8),X9)),X9)) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ! [X8] :
      ( ne(X8)
     => ! [X9] :
          ( mem(X9,arr(X8,bool))
         => p(ap(ap(c_2Epred__set_2ESUBSET(X8),ap(c_2Epred__set_2EREST(X8),X9)),X9)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).

fof(f10394,plain,
    ( ~ ne(sK0)
    | ~ spl5_7
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f10393,f830]) ).

fof(f830,plain,
    ( mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
    | ~ spl5_9 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl5_9
  <=> mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).

fof(f10393,plain,
    ( ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
    | ~ ne(sK0)
    | ~ spl5_7
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f10392,f97]) ).

fof(f97,plain,
    mem(sK1,arr(sK0,bool)),
    inference(cnf_transformation,[],[f76]) ).

fof(f10392,plain,
    ( ~ mem(sK1,arr(sK0,bool))
    | ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
    | ~ ne(sK0)
    | ~ spl5_7
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f10391,f98]) ).

fof(f98,plain,
    ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1)),
    inference(cnf_transformation,[],[f76]) ).

fof(f10391,plain,
    ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1))
    | ~ mem(sK1,arr(sK0,bool))
    | ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
    | ~ ne(sK0)
    | ~ spl5_7
    | ~ spl5_9 ),
    inference(duplicate_literal_removal,[],[f10387]) ).

fof(f10387,plain,
    ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1))
    | ~ mem(sK1,arr(sK0,bool))
    | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1))
    | ~ mem(sK1,arr(sK0,bool))
    | ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
    | ~ ne(sK0)
    | ~ spl5_7
    | ~ spl5_9 ),
    inference(resolution,[],[f4912,f124]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X2))
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
                  | ( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X2))
                    & p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X1))
                    & mem(sK3(X0,X1,X2),X0) ) )
                & ( ! [X4] :
                      ( p(ap(ap(c_2Ebool_2EIN(X0),X4),X2))
                      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X4),X1))
                      | ~ mem(X4,X0) )
                  | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ) )
              | ~ mem(X2,arr(X0,bool)) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f85,f86]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
          & p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
          & mem(X3,X0) )
     => ( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X2))
        & p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X1))
        & mem(sK3(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
                  | ? [X3] :
                      ( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
                      & p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
                      & mem(X3,X0) ) )
                & ( ! [X4] :
                      ( p(ap(ap(c_2Ebool_2EIN(X0),X4),X2))
                      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X4),X1))
                      | ~ mem(X4,X0) )
                  | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ) )
              | ~ mem(X2,arr(X0,bool)) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
                  | ? [X3] :
                      ( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
                      & p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
                      & mem(X3,X0) ) )
                & ( ! [X3] :
                      ( p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
                      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
                      | ~ mem(X3,X0) )
                  | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ) )
              | ~ mem(X2,arr(X0,bool)) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
              <=> ! [X3] :
                    ( p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
                    | ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
                    | ~ mem(X3,X0) ) )
              | ~ mem(X2,arr(X0,bool)) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
              <=> ! [X3] :
                    ( p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
                    | ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
                    | ~ mem(X3,X0) ) )
              | ~ mem(X2,arr(X0,bool)) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( mem(X1,arr(X0,bool))
         => ! [X2] :
              ( mem(X2,arr(X0,bool))
             => ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
              <=> ! [X3] :
                    ( mem(X3,X0)
                   => ( p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
                     => p(ap(ap(c_2Ebool_2EIN(X0),X3),X2)) ) ) ) ) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X8] :
      ( ne(X8)
     => ! [X9] :
          ( mem(X9,arr(X8,bool))
         => ! [X10] :
              ( mem(X10,arr(X8,bool))
             => ( p(ap(ap(c_2Epred__set_2ESUBSET(X8),X9),X10))
              <=> ! [X11] :
                    ( mem(X11,X8)
                   => ( p(ap(ap(c_2Ebool_2EIN(X8),X11),X9))
                     => p(ap(ap(c_2Ebool_2EIN(X8),X11),X10)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF) ).

fof(f4912,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),X0)),sK1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),X0))
        | ~ mem(X0,arr(sK0,bool)) )
    | ~ spl5_7
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f4911,f830]) ).

fof(f4911,plain,
    ( ! [X0] :
        ( ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),X0))
        | p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),X0)),sK1))
        | ~ mem(X0,arr(sK0,bool)) )
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f4910,f632]) ).

fof(f632,plain,
    ap(c_2Epred__set_2EREST(sK0),sK1) = ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),
    inference(subsumption_resolution,[],[f622,f96]) ).

fof(f622,plain,
    ( ap(c_2Epred__set_2EREST(sK0),sK1) = ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1))
    | ~ ne(sK0) ),
    inference(resolution,[],[f114,f97]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ mem(X1,arr(X0,bool))
      | ap(c_2Epred__set_2EREST(X0),X1) = ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ap(c_2Epred__set_2EREST(X0),X1) = ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1))
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( mem(X1,arr(X0,bool))
         => ap(c_2Epred__set_2EREST(X0),X1) = ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1)) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X8] :
      ( ne(X8)
     => ! [X9] :
          ( mem(X9,arr(X8,bool))
         => ap(c_2Epred__set_2EREST(X8),X9) = ap(ap(c_2Epred__set_2EDELETE(X8),X9),ap(c_2Epred__set_2ECHOICE(X8),X9)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).

fof(f4910,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),X0))
        | p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),X0)),sK1))
        | ~ mem(X0,arr(sK0,bool))
        | ~ mem(ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),arr(sK0,bool)) )
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f4909,f632]) ).

fof(f4909,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),X0)),sK1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1))),X0))
        | ~ mem(X0,arr(sK0,bool))
        | ~ mem(ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),arr(sK0,bool)) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f4908,f96]) ).

fof(f4908,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),X0)),sK1))
        | ~ ne(sK0)
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1))),X0))
        | ~ mem(X0,arr(sK0,bool))
        | ~ mem(ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),arr(sK0,bool)) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f4907,f97]) ).

fof(f4907,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),X0)),sK1))
        | ~ mem(sK1,arr(sK0,bool))
        | ~ ne(sK0)
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1))),X0))
        | ~ mem(X0,arr(sK0,bool))
        | ~ mem(ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),arr(sK0,bool)) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f4897,f727]) ).

fof(f727,plain,
    ( mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0)
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl5_7
  <=> mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

fof(f4897,plain,
    ! [X0] :
      ( p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),X0)),sK1))
      | ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0)
      | ~ mem(sK1,arr(sK0,bool))
      | ~ ne(sK0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1))),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ~ mem(ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),arr(sK0,bool)) ),
    inference(superposition,[],[f957,f632]) ).

fof(f957,plain,
    ! [X2,X3,X0,X1] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),X3)),X1))
      | ~ mem(X2,X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2)),X3))
      | ~ mem(X3,arr(X0,bool))
      | ~ mem(ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),arr(X0,bool)) ),
    inference(subsumption_resolution,[],[f956,f122]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | mem(sK3(X0,X1,X2),X0)
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f956,plain,
    ! [X2,X3,X0,X1] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),X3)),X1))
      | ~ mem(X2,X0)
      | ~ mem(sK3(X0,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),X3),X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2)),X3))
      | ~ mem(X3,arr(X0,bool))
      | ~ mem(ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),arr(X0,bool)) ),
    inference(duplicate_literal_removal,[],[f953]) ).

fof(f953,plain,
    ! [X2,X3,X0,X1] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),X3)),X1))
      | ~ mem(X2,X0)
      | ~ mem(sK3(X0,ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),X3),X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2)),X3))
      | ~ mem(X3,arr(X0,bool))
      | ~ mem(ap(ap(c_2Epred__set_2EDELETE(X0),X1),X2),arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f118,f123]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X1))
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f118,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
      | p(ap(ap(c_2Ebool_2EIN(X0),X2),X1))
      | ~ mem(X3,X0)
      | ~ mem(X2,X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
                      | X2 = X3
                      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
                    & ( ( X2 != X3
                        & p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
                      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3))) ) )
                  | ~ mem(X3,X0) )
              | ~ mem(X2,X0) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
                      | X2 = X3
                      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
                    & ( ( X2 != X3
                        & p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
                      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3))) ) )
                  | ~ mem(X3,X0) )
              | ~ mem(X2,X0) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
                  <=> ( X2 != X3
                      & p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) ) )
                  | ~ mem(X3,X0) )
              | ~ mem(X2,X0) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( mem(X1,arr(X0,bool))
         => ! [X2] :
              ( mem(X2,X0)
             => ! [X3] :
                  ( mem(X3,X0)
                 => ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
                  <=> ( X2 != X3
                      & p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) ) ) ) ) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X8] :
      ( ne(X8)
     => ! [X9] :
          ( mem(X9,arr(X8,bool))
         => ! [X12] :
              ( mem(X12,X8)
             => ! [X13] :
                  ( mem(X13,X8)
                 => ( p(ap(ap(c_2Ebool_2EIN(X8),X12),ap(ap(c_2Epred__set_2EDELETE(X8),X9),X13)))
                  <=> ( X12 != X13
                      & p(ap(ap(c_2Ebool_2EIN(X8),X12),X9)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE) ).

fof(f7627,plain,
    ( spl5_4
    | spl5_50 ),
    inference(avatar_split_clause,[],[f7546,f7625,f638]) ).

fof(f638,plain,
    ( spl5_4
  <=> ! [X0] :
        ( p(X0)
        | ~ mem(X0,bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f7625,plain,
    ( spl5_50
  <=> ! [X0] :
        ( mem(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
        | ~ mem(X0,bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).

fof(f7546,plain,
    ! [X0,X1] :
      ( mem(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | p(X1) ),
    inference(duplicate_literal_removal,[],[f7540]) ).

fof(f7540,plain,
    ! [X0,X1] :
      ( mem(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | p(X1)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f1572,f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
      | p(X1)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
              | ~ p(X1)
              | ~ p(X0) )
            & ( ( p(X1)
                & p(X0) )
              | ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) ) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
              | ~ p(X1)
              | ~ p(X0) )
            & ( ( p(X1)
                & p(X0) )
              | ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) ) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
          <=> ( p(X1)
              & p(X0) ) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( mem(X0,bool)
     => ! [X1] :
          ( mem(X1,bool)
         => ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
          <=> ( p(X1)
              & p(X0) ) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X4] :
      ( mem(X4,bool)
     => ! [X5] :
          ( mem(X5,bool)
         => ( p(ap(ap(c_2Ebool_2E_2F_5C,X4),X5))
          <=> ( p(X5)
              & p(X4) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_and_p) ).

fof(f1572,plain,
    ! [X0,X1] :
      ( mem(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
      | p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(subsumption_resolution,[],[f1558,f100]) ).

fof(f100,plain,
    ne(bool),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ne(bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bool_ne) ).

fof(f1558,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
      | ~ mem(X1,bool)
      | ~ ne(bool)
      | mem(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f447,f168]) ).

fof(f168,plain,
    ! [X0] :
      ( mem(ap(c_2Ebool_2E_2F_5C,X0),arr(bool,bool))
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f137,f103]) ).

fof(f103,plain,
    mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_2F_5C) ).

fof(f137,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,X0)
      | mem(ap(X2,X3),X1) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( mem(ap(X2,X3),X1)
          | ~ mem(X3,X0) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).

fof(f447,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X2,arr(X1,bool))
      | p(ap(X2,X0))
      | ~ mem(X0,X1)
      | ~ ne(X1)
      | mem(sK2(X1,X2),X1) ),
    inference(duplicate_literal_removal,[],[f446]) ).

fof(f446,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,X1)
      | p(ap(X2,X0))
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1)
      | mem(sK2(X1,X2),X1)
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f115,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(X0),X1))
      | mem(sK2(X0,X1),X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( p(ap(c_2Ebool_2E_21(X0),X1))
              | ( ~ p(ap(X1,sK2(X0,X1)))
                & mem(sK2(X0,X1),X0) ) )
            & ( ! [X3] :
                  ( p(ap(X1,X3))
                  | ~ mem(X3,X0) )
              | ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f79,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ p(ap(X1,X2))
          & mem(X2,X0) )
     => ( ~ p(ap(X1,sK2(X0,X1)))
        & mem(sK2(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( p(ap(c_2Ebool_2E_21(X0),X1))
              | ? [X2] :
                  ( ~ p(ap(X1,X2))
                  & mem(X2,X0) ) )
            & ( ! [X3] :
                  ( p(ap(X1,X3))
                  | ~ mem(X3,X0) )
              | ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( p(ap(c_2Ebool_2E_21(X0),X1))
              | ? [X2] :
                  ( ~ p(ap(X1,X2))
                  & mem(X2,X0) ) )
            & ( ! [X2] :
                  ( p(ap(X1,X2))
                  | ~ mem(X2,X0) )
              | ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( p(ap(c_2Ebool_2E_21(X0),X1))
          <=> ! [X2] :
                ( p(ap(X1,X2))
                | ~ mem(X2,X0) ) )
          | ~ mem(X1,arr(X0,bool)) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( mem(X1,arr(X0,bool))
         => ( p(ap(c_2Ebool_2E_21(X0),X1))
          <=> ! [X2] :
                ( mem(X2,X0)
               => p(ap(X1,X2)) ) ) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X4] :
          ( mem(X4,arr(X0,bool))
         => ( p(ap(c_2Ebool_2E_21(X0),X4))
          <=> ! [X3] :
                ( mem(X3,X0)
               => p(ap(X4,X3)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_all_p) ).

fof(f115,plain,
    ! [X3,X0,X1] :
      ( ~ p(ap(c_2Ebool_2E_21(X0),X1))
      | ~ mem(X3,X0)
      | p(ap(X1,X3))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f7556,plain,
    ( spl5_3
    | spl5_49 ),
    inference(avatar_split_clause,[],[f7545,f7554,f635]) ).

fof(f635,plain,
    ( spl5_3
  <=> ! [X1] : ~ mem(X1,bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f7554,plain,
    ( spl5_49
  <=> ! [X0] :
        ( mem(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
        | p(X0)
        | ~ mem(X0,bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).

fof(f7545,plain,
    ! [X0,X1] :
      ( mem(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | p(X0) ),
    inference(duplicate_literal_removal,[],[f7541]) ).

fof(f7541,plain,
    ! [X0,X1] :
      ( mem(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)),bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | p(X0)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f1572,f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
      | p(X0)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f7301,plain,
    ( ~ spl5_47
    | spl5_48
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_45 ),
    inference(avatar_split_clause,[],[f7251,f7213,f1736,f1705,f7298,f7294]) ).

fof(f7294,plain,
    ( spl5_47
  <=> p(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).

fof(f7298,plain,
    ( spl5_48
  <=> ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E) = sK2(bool,c_2Ebool_2E_7E) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).

fof(f1705,plain,
    ( spl5_27
  <=> mem(sK2(bool,c_2Ebool_2E_7E),bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).

fof(f1736,plain,
    ( spl5_29
  <=> p(sK2(bool,c_2Ebool_2E_7E)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).

fof(f7213,plain,
    ( spl5_45
  <=> mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).

fof(f7251,plain,
    ( ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E) = sK2(bool,c_2Ebool_2E_7E)
    | ~ p(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E))
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_45 ),
    inference(resolution,[],[f7214,f3231]) ).

fof(f3231,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | sK2(bool,c_2Ebool_2E_7E) = X0
        | ~ p(X0) )
    | ~ spl5_27
    | ~ spl5_29 ),
    inference(subsumption_resolution,[],[f2388,f1737]) ).

fof(f1737,plain,
    ( p(sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_29 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f2388,plain,
    ( ! [X0] :
        ( ~ p(sK2(bool,c_2Ebool_2E_7E))
        | ~ p(X0)
        | sK2(bool,c_2Ebool_2E_7E) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_27 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f530,f531,f532,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f1707,f1712,f1713,f1714,f1716,f1717,f1718,f1719,f1720,f1721,f1722,f1723,f1724,f1725,f1731,f1732,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f1715,f529,f1937,f1938,f1939,f1940,f315,f2055,f2056,f2064,f2065,f2060,f2061,f2062,f2063,f316,f2140,f2141,f2149,f2150,f2145,f2146,f2147,f2148,f524,f2178,f2177,f2162,f2163,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2188,f2189,f2175,f2176,f533,f2290,f2289,f2274,f2275,f2291,f2292,f2293,f2294,f2295,f2296,f2297,f2298,f2300,f2301,f2287,f2288,f2144]) ).

fof(f2144,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
      | ~ p(sK2(bool,c_2Ebool_2E_7E))
      | ~ p(X0)
      | sK2(bool,c_2Ebool_2E_7E) = X0
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f316,f101]) ).

fof(f2288,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),X0))
      | ~ ne(X0)
      | sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0)) = ap(i(arr(X0,bool)),sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))) ),
    inference(resolution,[],[f533,f135]) ).

fof(f2287,plain,
    ! [X2,X0,X1] :
      ( c_2Epred__set_2ECHOICE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),X0))
      | ~ ne(X0)
      | ap(k(arr(X0,bool),X2),sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))) = X2 ),
    inference(resolution,[],[f533,f136]) ).

fof(f2301,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(bool) = X0
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))))
      | p(sK2(bool,sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))))
      | p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f2286,f100]) ).

fof(f2286,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(bool) = X0
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(bool)
      | p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))))
      | p(sK2(bool,sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))))
      | p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f533,f315]) ).

fof(f2300,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(bool) = X0
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))))
      | ~ p(sK2(bool,sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))))
      | ~ p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f2285,f100]) ).

fof(f2285,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(bool) = X0
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(bool)
      | p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))))
      | ~ p(sK2(bool,sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))))
      | ~ p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Epred__set_2ECHOICE(bool))) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f533,f316]) ).

fof(f2298,plain,
    ! [X0] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | sK1 = sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))
      | sK4(sK0,sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)),sK1) = ap(i(sK0),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)),sK1)) ),
    inference(subsumption_resolution,[],[f2283,f96]) ).

fof(f2283,plain,
    ! [X0] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ~ ne(sK0)
      | sK1 = sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))
      | sK4(sK0,sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)),sK1) = ap(i(sK0),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)),sK1)) ),
    inference(resolution,[],[f533,f551]) ).

fof(f2297,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | sK1 = sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))
      | ap(k(sK0,X1),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)),sK1)) = X1 ),
    inference(subsumption_resolution,[],[f2282,f96]) ).

fof(f2282,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ~ ne(sK0)
      | sK1 = sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))
      | ap(k(sK0,X1),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)),sK1)) = X1 ),
    inference(resolution,[],[f533,f550]) ).

fof(f2296,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | sK1 = sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))
      | ap(k(bool,X1),ap(sK1,sK4(sK0,sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)),sK1))) = X1 ),
    inference(subsumption_resolution,[],[f2281,f96]) ).

fof(f2281,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ~ ne(sK0)
      | sK1 = sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))
      | ap(k(bool,X1),ap(sK1,sK4(sK0,sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)),sK1))) = X1 ),
    inference(resolution,[],[f533,f536]) ).

fof(f2295,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f2280,f96]) ).

fof(f2280,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)))))) = X1 ),
    inference(resolution,[],[f533,f359]) ).

fof(f2294,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f2279,f96]) ).

fof(f2279,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)))))) = X1 ),
    inference(resolution,[],[f533,f290]) ).

fof(f2293,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))))) = X1 ),
    inference(subsumption_resolution,[],[f2278,f96]) ).

fof(f2278,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))))) = X1 ),
    inference(resolution,[],[f533,f214]) ).

fof(f2292,plain,
    ! [X0] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))))) ),
    inference(subsumption_resolution,[],[f2277,f96]) ).

fof(f2277,plain,
    ! [X0] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ~ ne(sK0)
      | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0))))) ),
    inference(resolution,[],[f533,f213]) ).

fof(f2291,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f2276,f96]) ).

fof(f2276,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),sK0))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Epred__set_2ECHOICE(sK0)))))) = X1 ),
    inference(resolution,[],[f533,f212]) ).

fof(f2275,plain,
    ! [X2,X0,X1] :
      ( c_2Epred__set_2ECHOICE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),X0))
      | ~ ne(X0)
      | ~ mem(X2,X0)
      | mem(ap(sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0)),X2),bool) ),
    inference(resolution,[],[f533,f137]) ).

fof(f2274,plain,
    ! [X2,X0,X1] :
      ( c_2Epred__set_2ECHOICE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),X0))
      | ~ ne(X0)
      | mem(sK4(X0,X2,sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))),X0)
      | sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0)) = X2
      | ~ mem(X2,arr(X0,bool)) ),
    inference(resolution,[],[f533,f138]) ).

fof(f2289,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),X0))
      | ~ ne(X0)
      | ap(c_2Epred__set_2EREST(X0),sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))) = ap(ap(c_2Epred__set_2EDELETE(X0),sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))),ap(c_2Epred__set_2ECHOICE(X0),sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0)))) ),
    inference(duplicate_literal_removal,[],[f2273]) ).

fof(f2273,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),X0))
      | ~ ne(X0)
      | ap(c_2Epred__set_2EREST(X0),sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))) = ap(ap(c_2Epred__set_2EDELETE(X0),sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))),ap(c_2Epred__set_2ECHOICE(X0),sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))))
      | ~ ne(X0) ),
    inference(resolution,[],[f533,f114]) ).

fof(f2290,plain,
    ! [X2,X0,X1] :
      ( c_2Epred__set_2ECHOICE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),X0))
      | ~ ne(X0)
      | p(ap(sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0)),X2))
      | ~ mem(X2,X0)
      | mem(sK2(X0,sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))),X0) ),
    inference(duplicate_literal_removal,[],[f2272]) ).

fof(f2272,plain,
    ! [X2,X0,X1] :
      ( c_2Epred__set_2ECHOICE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),X0))
      | ~ ne(X0)
      | p(ap(sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0)),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0)
      | mem(sK2(X0,sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0))),X0) ),
    inference(resolution,[],[f533,f447]) ).

fof(f533,plain,
    ! [X0,X1] :
      ( mem(sK4(arr(X0,bool),X1,c_2Epred__set_2ECHOICE(X0)),arr(X0,bool))
      | c_2Epred__set_2ECHOICE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),X0))
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f106]) ).

fof(f2176,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(X0)
      | sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0)) = ap(i(arr(X0,bool)),sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) ),
    inference(resolution,[],[f524,f135]) ).

fof(f2175,plain,
    ! [X2,X0,X1] :
      ( c_2Ebool_2E_21(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(X0)
      | ap(k(arr(X0,bool),X2),sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) = X2 ),
    inference(resolution,[],[f524,f136]) ).

fof(f2189,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(bool) = X0
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))))
      | p(sK2(bool,sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))))
      | p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f2174,f100]) ).

fof(f2174,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(bool) = X0
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(bool)
      | p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))))
      | p(sK2(bool,sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))))
      | p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f524,f315]) ).

fof(f2188,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(bool) = X0
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))))
      | ~ p(sK2(bool,sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))))
      | ~ p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f2173,f100]) ).

fof(f2173,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(bool) = X0
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(bool)
      | p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))))
      | ~ p(sK2(bool,sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))))
      | ~ p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Ebool_2E_21(bool))) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f524,f316]) ).

fof(f2186,plain,
    ! [X0] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | sK1 = sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))
      | sK4(sK0,sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)),sK1) = ap(i(sK0),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)),sK1)) ),
    inference(subsumption_resolution,[],[f2171,f96]) ).

fof(f2171,plain,
    ! [X0] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(sK0)
      | sK1 = sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))
      | sK4(sK0,sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)),sK1) = ap(i(sK0),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)),sK1)) ),
    inference(resolution,[],[f524,f551]) ).

fof(f2185,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | sK1 = sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))
      | ap(k(sK0,X1),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)),sK1)) = X1 ),
    inference(subsumption_resolution,[],[f2170,f96]) ).

fof(f2170,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(sK0)
      | sK1 = sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))
      | ap(k(sK0,X1),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)),sK1)) = X1 ),
    inference(resolution,[],[f524,f550]) ).

fof(f2184,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | sK1 = sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))
      | ap(k(bool,X1),ap(sK1,sK4(sK0,sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)),sK1))) = X1 ),
    inference(subsumption_resolution,[],[f2169,f96]) ).

fof(f2169,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(sK0)
      | sK1 = sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))
      | ap(k(bool,X1),ap(sK1,sK4(sK0,sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)),sK1))) = X1 ),
    inference(resolution,[],[f524,f536]) ).

fof(f2183,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f2168,f96]) ).

fof(f2168,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)))))) = X1 ),
    inference(resolution,[],[f524,f359]) ).

fof(f2182,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f2167,f96]) ).

fof(f2167,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)))))) = X1 ),
    inference(resolution,[],[f524,f290]) ).

fof(f2181,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))))) = X1 ),
    inference(subsumption_resolution,[],[f2166,f96]) ).

fof(f2166,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))))) = X1 ),
    inference(resolution,[],[f524,f214]) ).

fof(f2180,plain,
    ! [X0] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))))) ),
    inference(subsumption_resolution,[],[f2165,f96]) ).

fof(f2165,plain,
    ! [X0] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(sK0)
      | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0))))) ),
    inference(resolution,[],[f524,f213]) ).

fof(f2179,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f2164,f96]) ).

fof(f2164,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(sK0) = X0
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Ebool_2E_21(sK0)))))) = X1 ),
    inference(resolution,[],[f524,f212]) ).

fof(f2163,plain,
    ! [X2,X0,X1] :
      ( c_2Ebool_2E_21(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(X0)
      | ~ mem(X2,X0)
      | mem(ap(sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),X2),bool) ),
    inference(resolution,[],[f524,f137]) ).

fof(f2162,plain,
    ! [X2,X0,X1] :
      ( c_2Ebool_2E_21(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(X0)
      | mem(sK4(X0,X2,sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))),X0)
      | sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0)) = X2
      | ~ mem(X2,arr(X0,bool)) ),
    inference(resolution,[],[f524,f138]) ).

fof(f2177,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(X0)
      | ap(c_2Epred__set_2EREST(X0),sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) = ap(ap(c_2Epred__set_2EDELETE(X0),sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))),ap(c_2Epred__set_2ECHOICE(X0),sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0)))) ),
    inference(duplicate_literal_removal,[],[f2161]) ).

fof(f2161,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(X0)
      | ap(c_2Epred__set_2EREST(X0),sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))) = ap(ap(c_2Epred__set_2EDELETE(X0),sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))),ap(c_2Epred__set_2ECHOICE(X0),sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))))
      | ~ ne(X0) ),
    inference(resolution,[],[f524,f114]) ).

fof(f2178,plain,
    ! [X2,X0,X1] :
      ( c_2Ebool_2E_21(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(X0)
      | p(ap(sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),X2))
      | ~ mem(X2,X0)
      | mem(sK2(X0,sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))),X0) ),
    inference(duplicate_literal_removal,[],[f2160]) ).

fof(f2160,plain,
    ! [X2,X0,X1] :
      ( c_2Ebool_2E_21(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(X0)
      | p(ap(sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0)
      | mem(sK2(X0,sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0))),X0) ),
    inference(resolution,[],[f524,f447]) ).

fof(f524,plain,
    ! [X0,X1] :
      ( mem(sK4(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),arr(X0,bool))
      | c_2Ebool_2E_21(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f104]) ).

fof(f2148,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Emin_2E_3D(arr(bool,bool)))))
      | ~ p(sK2(bool,sK4(arr(bool,bool),X0,c_2Emin_2E_3D(arr(bool,bool)))))
      | ~ p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Emin_2E_3D(arr(bool,bool)))) = X1
      | ~ mem(X1,bool)
      | c_2Emin_2E_3D(arr(bool,bool)) = X0
      | ~ mem(X0,arr(arr(bool,bool),arr(arr(bool,bool),bool)))
      | ~ ne(arr(bool,bool)) ),
    inference(resolution,[],[f316,f528]) ).

fof(f2147,plain,
    ! [X2,X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),sK3(arr(bool,bool),X0,X1)))
      | ~ p(sK2(bool,sK3(arr(bool,bool),X0,X1)))
      | ~ p(X2)
      | sK2(bool,sK3(arr(bool,bool),X0,X1)) = X2
      | ~ mem(X2,bool)
      | p(ap(ap(c_2Epred__set_2ESUBSET(arr(bool,bool)),X0),X1))
      | ~ mem(X1,arr(arr(bool,bool),bool))
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(arr(bool,bool)) ),
    inference(resolution,[],[f316,f122]) ).

fof(f2146,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),sK2(arr(bool,bool),X0)))
      | ~ p(sK2(bool,sK2(arr(bool,bool),X0)))
      | ~ p(X1)
      | sK2(bool,sK2(arr(bool,bool),X0)) = X1
      | ~ mem(X1,bool)
      | p(ap(c_2Ebool_2E_21(arr(bool,bool)),X0))
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(arr(bool,bool)) ),
    inference(resolution,[],[f316,f116]) ).

fof(f2145,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Epred__set_2ECHOICE(arr(bool,bool)),X0)))
      | ~ p(sK2(bool,ap(c_2Epred__set_2ECHOICE(arr(bool,bool)),X0)))
      | ~ p(X1)
      | sK2(bool,ap(c_2Epred__set_2ECHOICE(arr(bool,bool)),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(arr(bool,bool)) ),
    inference(resolution,[],[f316,f172]) ).

fof(f2150,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Epred__set_2EREST(bool),X0)))
      | ~ p(sK2(bool,ap(c_2Epred__set_2EREST(bool),X0)))
      | ~ p(X1)
      | sK2(bool,ap(c_2Epred__set_2EREST(bool),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f2143,f100]) ).

fof(f2143,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Epred__set_2EREST(bool),X0)))
      | ~ p(sK2(bool,ap(c_2Epred__set_2EREST(bool),X0)))
      | ~ p(X1)
      | sK2(bool,ap(c_2Epred__set_2EREST(bool),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f316,f171]) ).

fof(f2149,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Emin_2E_3D(bool),X0)))
      | ~ p(sK2(bool,ap(c_2Emin_2E_3D(bool),X0)))
      | ~ p(X1)
      | sK2(bool,ap(c_2Emin_2E_3D(bool),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(subsumption_resolution,[],[f2142,f100]) ).

fof(f2142,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Emin_2E_3D(bool),X0)))
      | ~ p(sK2(bool,ap(c_2Emin_2E_3D(bool),X0)))
      | ~ p(X1)
      | sK2(bool,ap(c_2Emin_2E_3D(bool),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | ~ ne(bool) ),
    inference(resolution,[],[f316,f169]) ).

fof(f2141,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Ebool_2E_2F_5C,X0)))
      | ~ p(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)))
      | ~ p(X1)
      | sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f316,f168]) ).

fof(f2140,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Emin_2E_3D_3D_3E,X0)))
      | ~ p(sK2(bool,ap(c_2Emin_2E_3D_3D_3E,X0)))
      | ~ p(X1)
      | sK2(bool,ap(c_2Emin_2E_3D_3D_3E,X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f316,f167]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(bool,bool))
      | p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ p(sK2(bool,X0))
      | ~ p(X1)
      | sK2(bool,X0) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f301,f100]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ~ p(sK2(bool,X0))
      | ~ p(X1)
      | sK2(bool,X0) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f116,f128]) ).

fof(f2063,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),sK4(arr(bool,bool),X0,c_2Emin_2E_3D(arr(bool,bool)))))
      | p(sK2(bool,sK4(arr(bool,bool),X0,c_2Emin_2E_3D(arr(bool,bool)))))
      | p(X1)
      | sK2(bool,sK4(arr(bool,bool),X0,c_2Emin_2E_3D(arr(bool,bool)))) = X1
      | ~ mem(X1,bool)
      | c_2Emin_2E_3D(arr(bool,bool)) = X0
      | ~ mem(X0,arr(arr(bool,bool),arr(arr(bool,bool),bool)))
      | ~ ne(arr(bool,bool)) ),
    inference(resolution,[],[f315,f528]) ).

fof(f2062,plain,
    ! [X2,X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),sK3(arr(bool,bool),X0,X1)))
      | p(sK2(bool,sK3(arr(bool,bool),X0,X1)))
      | p(X2)
      | sK2(bool,sK3(arr(bool,bool),X0,X1)) = X2
      | ~ mem(X2,bool)
      | p(ap(ap(c_2Epred__set_2ESUBSET(arr(bool,bool)),X0),X1))
      | ~ mem(X1,arr(arr(bool,bool),bool))
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(arr(bool,bool)) ),
    inference(resolution,[],[f315,f122]) ).

fof(f2061,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),sK2(arr(bool,bool),X0)))
      | p(sK2(bool,sK2(arr(bool,bool),X0)))
      | p(X1)
      | sK2(bool,sK2(arr(bool,bool),X0)) = X1
      | ~ mem(X1,bool)
      | p(ap(c_2Ebool_2E_21(arr(bool,bool)),X0))
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(arr(bool,bool)) ),
    inference(resolution,[],[f315,f116]) ).

fof(f2060,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Epred__set_2ECHOICE(arr(bool,bool)),X0)))
      | p(sK2(bool,ap(c_2Epred__set_2ECHOICE(arr(bool,bool)),X0)))
      | p(X1)
      | sK2(bool,ap(c_2Epred__set_2ECHOICE(arr(bool,bool)),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,arr(arr(bool,bool),bool))
      | ~ ne(arr(bool,bool)) ),
    inference(resolution,[],[f315,f172]) ).

fof(f2065,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Epred__set_2EREST(bool),X0)))
      | p(sK2(bool,ap(c_2Epred__set_2EREST(bool),X0)))
      | p(X1)
      | sK2(bool,ap(c_2Epred__set_2EREST(bool),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f2058,f100]) ).

fof(f2058,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Epred__set_2EREST(bool),X0)))
      | p(sK2(bool,ap(c_2Epred__set_2EREST(bool),X0)))
      | p(X1)
      | sK2(bool,ap(c_2Epred__set_2EREST(bool),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f315,f171]) ).

fof(f2064,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Emin_2E_3D(bool),X0)))
      | p(sK2(bool,ap(c_2Emin_2E_3D(bool),X0)))
      | p(X1)
      | sK2(bool,ap(c_2Emin_2E_3D(bool),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(subsumption_resolution,[],[f2057,f100]) ).

fof(f2057,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Emin_2E_3D(bool),X0)))
      | p(sK2(bool,ap(c_2Emin_2E_3D(bool),X0)))
      | p(X1)
      | sK2(bool,ap(c_2Emin_2E_3D(bool),X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | ~ ne(bool) ),
    inference(resolution,[],[f315,f169]) ).

fof(f2056,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Ebool_2E_2F_5C,X0)))
      | p(sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)))
      | p(X1)
      | sK2(bool,ap(c_2Ebool_2E_2F_5C,X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f315,f168]) ).

fof(f2055,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),ap(c_2Emin_2E_3D_3D_3E,X0)))
      | p(sK2(bool,ap(c_2Emin_2E_3D_3D_3E,X0)))
      | p(X1)
      | sK2(bool,ap(c_2Emin_2E_3D_3D_3E,X0)) = X1
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f315,f167]) ).

fof(f315,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(bool,bool))
      | p(ap(c_2Ebool_2E_21(bool),X0))
      | p(sK2(bool,X0))
      | p(X1)
      | sK2(bool,X0) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f300,f100]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | p(sK2(bool,X0))
      | p(X1)
      | sK2(bool,X0) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f116,f127]) ).

fof(f1940,plain,
    ! [X0,X1] :
      ( c_2Ebool_2EIN(X0) = sK4(arr(X0,arr(arr(X0,bool),bool)),X1,c_2Emin_2E_3D(arr(X0,arr(arr(X0,bool),bool))))
      | mem(sK4(X0,sK4(arr(X0,arr(arr(X0,bool),bool)),X1,c_2Emin_2E_3D(arr(X0,arr(arr(X0,bool),bool)))),c_2Ebool_2EIN(X0)),X0)
      | ~ ne(X0)
      | c_2Emin_2E_3D(arr(X0,arr(arr(X0,bool),bool))) = X1
      | ~ mem(X1,arr(arr(X0,arr(arr(X0,bool),bool)),arr(arr(X0,arr(arr(X0,bool),bool)),bool)))
      | ~ ne(arr(X0,arr(arr(X0,bool),bool))) ),
    inference(resolution,[],[f529,f528]) ).

fof(f1939,plain,
    ! [X2,X0,X1] :
      ( c_2Ebool_2EIN(X0) = sK3(arr(X0,arr(arr(X0,bool),bool)),X1,X2)
      | mem(sK4(X0,sK3(arr(X0,arr(arr(X0,bool),bool)),X1,X2),c_2Ebool_2EIN(X0)),X0)
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(arr(X0,arr(arr(X0,bool),bool))),X1),X2))
      | ~ mem(X2,arr(arr(X0,arr(arr(X0,bool),bool)),bool))
      | ~ mem(X1,arr(arr(X0,arr(arr(X0,bool),bool)),bool))
      | ~ ne(arr(X0,arr(arr(X0,bool),bool))) ),
    inference(resolution,[],[f529,f122]) ).

fof(f1938,plain,
    ! [X0,X1] :
      ( c_2Ebool_2EIN(X0) = sK2(arr(X0,arr(arr(X0,bool),bool)),X1)
      | mem(sK4(X0,sK2(arr(X0,arr(arr(X0,bool),bool)),X1),c_2Ebool_2EIN(X0)),X0)
      | ~ ne(X0)
      | p(ap(c_2Ebool_2E_21(arr(X0,arr(arr(X0,bool),bool))),X1))
      | ~ mem(X1,arr(arr(X0,arr(arr(X0,bool),bool)),bool))
      | ~ ne(arr(X0,arr(arr(X0,bool),bool))) ),
    inference(resolution,[],[f529,f116]) ).

fof(f1937,plain,
    ! [X0,X1] :
      ( c_2Ebool_2EIN(X0) = ap(c_2Epred__set_2ECHOICE(arr(X0,arr(arr(X0,bool),bool))),X1)
      | mem(sK4(X0,ap(c_2Epred__set_2ECHOICE(arr(X0,arr(arr(X0,bool),bool))),X1),c_2Ebool_2EIN(X0)),X0)
      | ~ ne(X0)
      | ~ mem(X1,arr(arr(X0,arr(arr(X0,bool),bool)),bool))
      | ~ ne(arr(X0,arr(arr(X0,bool),bool))) ),
    inference(resolution,[],[f529,f172]) ).

fof(f529,plain,
    ! [X0,X1] :
      ( ~ mem(X1,arr(X0,arr(arr(X0,bool),bool)))
      | c_2Ebool_2EIN(X0) = X1
      | mem(sK4(X0,X1,c_2Ebool_2EIN(X0)),X0)
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f108]) ).

fof(f1715,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))) = X0
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f179]) ).

fof(f1907,plain,
    ! [X0,X1] :
      ( ~ mem(sK2(X0,c_2Ebool_2E_21(X1)),arr(X1,bool))
      | ~ ne(X1)
      | sK2(X1,sK2(X0,c_2Ebool_2E_21(X1))) = ap(i(X1),sK2(X1,sK2(X0,c_2Ebool_2E_21(X1))))
      | p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_21(X1)))
      | ~ mem(c_2Ebool_2E_21(X1),arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f299,f117]) ).

fof(f1908,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | sK2(X1,X0) = ap(i(X1),sK2(X1,X0))
      | ~ mem(X2,X1)
      | p(ap(X0,X2)) ),
    inference(duplicate_literal_removal,[],[f1906]) ).

fof(f1906,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | sK2(X1,X0) = ap(i(X1),sK2(X1,X0))
      | ~ mem(X2,X1)
      | p(ap(X0,X2))
      | ~ mem(X0,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f299,f115]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(X0),X1))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | sK2(X0,X1) = ap(i(X0),sK2(X0,X1)) ),
    inference(resolution,[],[f116,f135]) ).

fof(f1839,plain,
    ! [X0,X1] :
      ( ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
      | ~ ne(X0)
      | p(sK2(X0,c_2Ebool_2E_7E))
      | ~ mem(sK2(X0,c_2Ebool_2E_7E),bool)
      | ~ mem(X1,X0)
      | p(ap(c_2Ebool_2E_7E,X1)) ),
    inference(duplicate_literal_removal,[],[f1838]) ).

fof(f1838,plain,
    ! [X0,X1] :
      ( ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
      | ~ ne(X0)
      | p(sK2(X0,c_2Ebool_2E_7E))
      | ~ mem(sK2(X0,c_2Ebool_2E_7E),bool)
      | ~ mem(X1,X0)
      | p(ap(c_2Ebool_2E_7E,X1))
      | ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f407,f115]) ).

fof(f407,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_7E))
      | ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
      | ~ ne(X0)
      | p(sK2(X0,c_2Ebool_2E_7E))
      | ~ mem(sK2(X0,c_2Ebool_2E_7E),bool) ),
    inference(resolution,[],[f117,f126]) ).

fof(f1772,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK2(X0,c_2Ebool_2E_21(X1)),arr(X1,bool))
      | ~ ne(X1)
      | ap(k(X1,X2),sK2(X1,sK2(X0,c_2Ebool_2E_21(X1)))) = X2
      | p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_21(X1)))
      | ~ mem(c_2Ebool_2E_21(X1),arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f298,f117]) ).

fof(f1773,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(k(X1,X2),sK2(X1,X0)) = X2
      | ~ mem(X3,X1)
      | p(ap(X0,X3)) ),
    inference(duplicate_literal_removal,[],[f1771]) ).

fof(f1771,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(k(X1,X2),sK2(X1,X0)) = X2
      | ~ mem(X3,X1)
      | p(ap(X0,X3))
      | ~ mem(X0,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f298,f115]) ).

fof(f298,plain,
    ! [X2,X0,X1] :
      ( p(ap(c_2Ebool_2E_21(X0),X1))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | ap(k(X0,X2),sK2(X0,X1)) = X2 ),
    inference(resolution,[],[f116,f136]) ).

fof(f1732,plain,
    ( sK2(bool,c_2Ebool_2E_7E) = ap(i(bool),sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f135]) ).

fof(f1731,plain,
    ( ! [X0] : ap(k(bool,X0),sK2(bool,c_2Ebool_2E_7E)) = X0
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f136]) ).

fof(f1725,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))
        | ~ mem(X0,sK0)
        | p(ap(sK1,X0))
        | ~ p(sK2(bool,c_2Ebool_2E_7E)) )
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f495]) ).

fof(f1724,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))))) = X0
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f333]) ).

fof(f1723,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))) = X0
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f292]) ).

fof(f1722,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))) = X0
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f283]) ).

fof(f1721,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))) = X0
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f188]) ).

fof(f1720,plain,
    ( ap(c_2Ebool_2E_2F_5C,sK2(bool,c_2Ebool_2E_7E)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f186]) ).

fof(f1719,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,sK2(bool,c_2Ebool_2E_7E))) = X0
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f185]) ).

fof(f1718,plain,
    ( ap(c_2Emin_2E_3D_3D_3E,sK2(bool,c_2Ebool_2E_7E)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f183]) ).

fof(f1717,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,sK2(bool,c_2Ebool_2E_7E))) = X0
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f182]) ).

fof(f1716,plain,
    ( ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f180]) ).

fof(f1714,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | p(sK2(bool,c_2Ebool_2E_7E))
        | ap(sK1,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,sK0) )
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f174]) ).

fof(f1713,plain,
    ( ! [X0] :
        ( ~ p(sK2(bool,c_2Ebool_2E_7E))
        | ~ p(X0)
        | sK2(bool,c_2Ebool_2E_7E) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f128]) ).

fof(f1712,plain,
    ( ! [X0] :
        ( p(sK2(bool,c_2Ebool_2E_7E))
        | p(X0)
        | sK2(bool,c_2Ebool_2E_7E) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f127]) ).

fof(f1707,plain,
    ( mem(sK2(bool,c_2Ebool_2E_7E),bool)
    | ~ spl5_27 ),
    inference(avatar_component_clause,[],[f1705]) ).

fof(f1574,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_7E,X0))
      | ~ mem(X0,bool)
      | mem(sK2(bool,c_2Ebool_2E_7E),bool) ),
    inference(subsumption_resolution,[],[f1562,f100]) ).

fof(f1562,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_7E,X0))
      | ~ mem(X0,bool)
      | ~ ne(bool)
      | mem(sK2(bool,c_2Ebool_2E_7E),bool) ),
    inference(resolution,[],[f447,f101]) ).

fof(f1697,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))))) = X1 ),
    inference(subsumption_resolution,[],[f1656,f96]) ).

fof(f1656,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))))) = X1 ),
    inference(resolution,[],[f528,f462]) ).

fof(f1696,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f1655,f96]) ).

fof(f1655,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))))) = X1 ),
    inference(resolution,[],[f528,f448]) ).

fof(f1695,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f1654,f96]) ).

fof(f1654,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))))) = X1 ),
    inference(resolution,[],[f528,f432]) ).

fof(f1694,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(c_2Ebool_2E_2F_5C,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) ),
    inference(subsumption_resolution,[],[f1653,f96]) ).

fof(f1653,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(c_2Ebool_2E_2F_5C,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) ),
    inference(resolution,[],[f528,f373]) ).

fof(f1693,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) ),
    inference(subsumption_resolution,[],[f1652,f96]) ).

fof(f1652,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) ),
    inference(resolution,[],[f528,f360]) ).

fof(f1692,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK4(sK0,X0,c_2Emin_2E_3D(sK0))))))) = X1 ),
    inference(subsumption_resolution,[],[f1651,f96]) ).

fof(f1651,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK4(sK0,X0,c_2Emin_2E_3D(sK0))))))) = X1 ),
    inference(resolution,[],[f528,f349]) ).

fof(f1691,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f1650,f96]) ).

fof(f1650,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))))) = X1 ),
    inference(resolution,[],[f528,f332]) ).

fof(f1690,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) = X1 ),
    inference(subsumption_resolution,[],[f1649,f96]) ).

fof(f1649,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) = X1 ),
    inference(resolution,[],[f528,f291]) ).

fof(f1689,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) = X1 ),
    inference(subsumption_resolution,[],[f1648,f96]) ).

fof(f1648,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) = X1 ),
    inference(resolution,[],[f528,f282]) ).

fof(f1688,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK4(sK0,X0,c_2Emin_2E_3D(sK0)))))) = X1 ),
    inference(subsumption_resolution,[],[f1647,f96]) ).

fof(f1647,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK4(sK0,X0,c_2Emin_2E_3D(sK0)))))) = X1 ),
    inference(resolution,[],[f528,f242]) ).

fof(f1687,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) ),
    inference(subsumption_resolution,[],[f1646,f96]) ).

fof(f1646,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) ),
    inference(resolution,[],[f528,f215]) ).

fof(f1686,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) = X1 ),
    inference(subsumption_resolution,[],[f1645,f96]) ).

fof(f1645,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))))) = X1 ),
    inference(resolution,[],[f528,f187]) ).

fof(f1685,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))) = ap(i(bool),ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) ),
    inference(subsumption_resolution,[],[f1644,f96]) ).

fof(f1644,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0))) = ap(i(bool),ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) ),
    inference(resolution,[],[f528,f176]) ).

fof(f1684,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ap(k(bool,X1),ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) = X1 ),
    inference(subsumption_resolution,[],[f1643,f96]) ).

fof(f1643,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(sK0) = X0
      | ~ mem(X0,arr(sK0,arr(sK0,bool)))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,sK4(sK0,X0,c_2Emin_2E_3D(sK0)))) = X1 ),
    inference(resolution,[],[f528,f175]) ).

fof(f1642,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(arr(bool,arr(bool,bool))) = X0
      | ~ mem(X0,arr(arr(bool,arr(bool,bool)),arr(arr(bool,arr(bool,bool)),bool)))
      | ~ ne(arr(bool,arr(bool,bool)))
      | c_2Emin_2E_3D_3D_3E = sK4(arr(bool,arr(bool,bool)),X0,c_2Emin_2E_3D(arr(bool,arr(bool,bool))))
      | mem(sK4(bool,sK4(arr(bool,arr(bool,bool)),X0,c_2Emin_2E_3D(arr(bool,arr(bool,bool)))),c_2Emin_2E_3D_3D_3E),bool) ),
    inference(resolution,[],[f528,f526]) ).

fof(f1641,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(arr(bool,arr(bool,bool))) = X0
      | ~ mem(X0,arr(arr(bool,arr(bool,bool)),arr(arr(bool,arr(bool,bool)),bool)))
      | ~ ne(arr(bool,arr(bool,bool)))
      | c_2Ebool_2E_2F_5C = sK4(arr(bool,arr(bool,bool)),X0,c_2Emin_2E_3D(arr(bool,arr(bool,bool))))
      | mem(sK4(bool,sK4(arr(bool,arr(bool,bool)),X0,c_2Emin_2E_3D(arr(bool,arr(bool,bool)))),c_2Ebool_2E_2F_5C),bool) ),
    inference(resolution,[],[f528,f527]) ).

fof(f1639,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(arr(sK0,bool)) = X0
      | ~ mem(X0,arr(arr(sK0,bool),arr(arr(sK0,bool),bool)))
      | ~ ne(arr(sK0,bool))
      | sK1 = sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool)))
      | sK4(sK0,sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool))),sK1) = ap(i(sK0),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool))),sK1)) ),
    inference(resolution,[],[f528,f551]) ).

fof(f1638,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(arr(sK0,bool)) = X0
      | ~ mem(X0,arr(arr(sK0,bool),arr(arr(sK0,bool),bool)))
      | ~ ne(arr(sK0,bool))
      | sK1 = sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool)))
      | ap(k(sK0,X1),sK4(sK0,sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool))),sK1)) = X1 ),
    inference(resolution,[],[f528,f550]) ).

fof(f1637,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(arr(sK0,bool)) = X0
      | ~ mem(X0,arr(arr(sK0,bool),arr(arr(sK0,bool),bool)))
      | ~ ne(arr(sK0,bool))
      | sK1 = sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool)))
      | ap(k(bool,X1),ap(sK1,sK4(sK0,sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool))),sK1))) = X1 ),
    inference(resolution,[],[f528,f536]) ).

fof(f1636,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(arr(sK0,bool)) = X0
      | ~ mem(X0,arr(arr(sK0,bool),arr(arr(sK0,bool),bool)))
      | ~ ne(arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool))))))) = X1 ),
    inference(resolution,[],[f528,f359]) ).

fof(f1635,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(arr(sK0,bool)) = X0
      | ~ mem(X0,arr(arr(sK0,bool),arr(arr(sK0,bool),bool)))
      | ~ ne(arr(sK0,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool))))))) = X1 ),
    inference(resolution,[],[f528,f290]) ).

fof(f1634,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(arr(sK0,bool)) = X0
      | ~ mem(X0,arr(arr(sK0,bool),arr(arr(sK0,bool),bool)))
      | ~ ne(arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool)))))) = X1 ),
    inference(resolution,[],[f528,f214]) ).

fof(f1633,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(arr(sK0,bool)) = X0
      | ~ mem(X0,arr(arr(sK0,bool),arr(arr(sK0,bool),bool)))
      | ~ ne(arr(sK0,bool))
      | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool))))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool)))))) ),
    inference(resolution,[],[f528,f213]) ).

fof(f1632,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(arr(sK0,bool)) = X0
      | ~ mem(X0,arr(arr(sK0,bool),arr(arr(sK0,bool),bool)))
      | ~ ne(arr(sK0,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK4(arr(sK0,bool),X0,c_2Emin_2E_3D(arr(sK0,bool))))))) = X1 ),
    inference(resolution,[],[f528,f212]) ).

fof(f1631,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(arr(X0,bool)) = X1
      | ~ mem(X1,arr(arr(X0,bool),arr(arr(X0,bool),bool)))
      | ~ ne(arr(X0,bool))
      | ap(c_2Epred__set_2EREST(X0),sK4(arr(X0,bool),X1,c_2Emin_2E_3D(arr(X0,bool)))) = ap(ap(c_2Epred__set_2EDELETE(X0),sK4(arr(X0,bool),X1,c_2Emin_2E_3D(arr(X0,bool)))),ap(c_2Epred__set_2ECHOICE(X0),sK4(arr(X0,bool),X1,c_2Emin_2E_3D(arr(X0,bool)))))
      | ~ ne(X0) ),
    inference(resolution,[],[f528,f114]) ).

fof(f1630,plain,
    ! [X2,X0,X1] :
      ( c_2Emin_2E_3D(arr(X0,bool)) = X1
      | ~ mem(X1,arr(arr(X0,bool),arr(arr(X0,bool),bool)))
      | ~ ne(arr(X0,bool))
      | p(ap(sK4(arr(X0,bool),X1,c_2Emin_2E_3D(arr(X0,bool))),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0)
      | mem(sK2(X0,sK4(arr(X0,bool),X1,c_2Emin_2E_3D(arr(X0,bool)))),X0) ),
    inference(resolution,[],[f528,f447]) ).

fof(f1629,plain,
    ! [X2,X3,X0,X1] :
      ( c_2Emin_2E_3D(arr(X0,X1)) = X2
      | ~ mem(X2,arr(arr(X0,X1),arr(arr(X0,X1),bool)))
      | ~ ne(arr(X0,X1))
      | ~ mem(X3,X0)
      | mem(ap(sK4(arr(X0,X1),X2,c_2Emin_2E_3D(arr(X0,X1))),X3),X1) ),
    inference(resolution,[],[f528,f137]) ).

fof(f1628,plain,
    ! [X2,X3,X0,X1] :
      ( c_2Emin_2E_3D(arr(X0,X1)) = X2
      | ~ mem(X2,arr(arr(X0,X1),arr(arr(X0,X1),bool)))
      | ~ ne(arr(X0,X1))
      | mem(sK4(X0,X3,sK4(arr(X0,X1),X2,c_2Emin_2E_3D(arr(X0,X1)))),X0)
      | sK4(arr(X0,X1),X2,c_2Emin_2E_3D(arr(X0,X1))) = X3
      | ~ mem(X3,arr(X0,X1)) ),
    inference(resolution,[],[f528,f138]) ).

fof(f1676,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(sK1,X1) = ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))
      | ~ mem(X1,sK0)
      | p(ap(sK1,X1))
      | ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool))) ),
    inference(subsumption_resolution,[],[f1622,f100]) ).

fof(f1622,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(sK1,X1) = ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))
      | ~ mem(X1,sK0)
      | p(ap(sK1,X1))
      | ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool))) ),
    inference(resolution,[],[f528,f495]) ).

fof(f1675,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))))) = X1 ),
    inference(subsumption_resolution,[],[f1621,f100]) ).

fof(f1621,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))))) = X1 ),
    inference(resolution,[],[f528,f333]) ).

fof(f1674,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))))) = X1 ),
    inference(subsumption_resolution,[],[f1620,f100]) ).

fof(f1620,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))))) = X1 ),
    inference(resolution,[],[f528,f292]) ).

fof(f1673,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))))) = X1 ),
    inference(subsumption_resolution,[],[f1619,f100]) ).

fof(f1619,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))))) = X1 ),
    inference(resolution,[],[f528,f283]) ).

fof(f1672,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))))) = X1 ),
    inference(subsumption_resolution,[],[f1618,f100]) ).

fof(f1618,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))))) = X1 ),
    inference(resolution,[],[f528,f188]) ).

fof(f1671,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(c_2Ebool_2E_2F_5C,sK4(bool,X0,c_2Emin_2E_3D(bool))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK4(bool,X0,c_2Emin_2E_3D(bool)))) ),
    inference(subsumption_resolution,[],[f1617,f100]) ).

fof(f1617,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(c_2Ebool_2E_2F_5C,sK4(bool,X0,c_2Emin_2E_3D(bool))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK4(bool,X0,c_2Emin_2E_3D(bool)))) ),
    inference(resolution,[],[f528,f186]) ).

fof(f1670,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,sK4(bool,X0,c_2Emin_2E_3D(bool)))) = X1 ),
    inference(subsumption_resolution,[],[f1616,f100]) ).

fof(f1616,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,sK4(bool,X0,c_2Emin_2E_3D(bool)))) = X1 ),
    inference(resolution,[],[f528,f185]) ).

fof(f1669,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(c_2Emin_2E_3D_3D_3E,sK4(bool,X0,c_2Emin_2E_3D(bool))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,X0,c_2Emin_2E_3D(bool)))) ),
    inference(subsumption_resolution,[],[f1615,f100]) ).

fof(f1615,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(c_2Emin_2E_3D_3D_3E,sK4(bool,X0,c_2Emin_2E_3D(bool))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,X0,c_2Emin_2E_3D(bool)))) ),
    inference(resolution,[],[f528,f183]) ).

fof(f1668,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,X0,c_2Emin_2E_3D(bool)))) = X1 ),
    inference(subsumption_resolution,[],[f1614,f100]) ).

fof(f1614,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,X0,c_2Emin_2E_3D(bool)))) = X1 ),
    inference(resolution,[],[f528,f182]) ).

fof(f1667,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))) = ap(i(bool),ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))) ),
    inference(subsumption_resolution,[],[f1613,f100]) ).

fof(f1613,plain,
    ! [X0] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))) = ap(i(bool),ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))) ),
    inference(resolution,[],[f528,f180]) ).

fof(f1666,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))) = X1 ),
    inference(subsumption_resolution,[],[f1612,f100]) ).

fof(f1612,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))) = X1 ),
    inference(resolution,[],[f528,f179]) ).

fof(f1665,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | p(ap(sK1,X1))
      | p(sK4(bool,X0,c_2Emin_2E_3D(bool)))
      | ap(sK1,X1) = sK4(bool,X0,c_2Emin_2E_3D(bool))
      | ~ mem(X1,sK0) ),
    inference(subsumption_resolution,[],[f1611,f100]) ).

fof(f1611,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | p(ap(sK1,X1))
      | p(sK4(bool,X0,c_2Emin_2E_3D(bool)))
      | ap(sK1,X1) = sK4(bool,X0,c_2Emin_2E_3D(bool))
      | ~ mem(X1,sK0) ),
    inference(resolution,[],[f528,f174]) ).

fof(f1664,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool)))
      | ~ p(X1)
      | sK4(bool,X0,c_2Emin_2E_3D(bool)) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f1610,f100]) ).

fof(f1610,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool)))
      | ~ p(X1)
      | sK4(bool,X0,c_2Emin_2E_3D(bool)) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f528,f128]) ).

fof(f1663,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | p(sK4(bool,X0,c_2Emin_2E_3D(bool)))
      | p(X1)
      | sK4(bool,X0,c_2Emin_2E_3D(bool)) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f1609,f100]) ).

fof(f1609,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(bool) = X0
      | ~ mem(X0,arr(bool,arr(bool,bool)))
      | ~ ne(bool)
      | p(sK4(bool,X0,c_2Emin_2E_3D(bool)))
      | p(X1)
      | sK4(bool,X0,c_2Emin_2E_3D(bool)) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f528,f127]) ).

fof(f1608,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(X0) = X1
      | ~ mem(X1,arr(X0,arr(X0,bool)))
      | ~ ne(X0)
      | sK4(X0,X1,c_2Emin_2E_3D(X0)) = ap(i(X0),sK4(X0,X1,c_2Emin_2E_3D(X0))) ),
    inference(resolution,[],[f528,f135]) ).

fof(f1607,plain,
    ! [X2,X0,X1] :
      ( c_2Emin_2E_3D(X0) = X1
      | ~ mem(X1,arr(X0,arr(X0,bool)))
      | ~ ne(X0)
      | ap(k(X0,X2),sK4(X0,X1,c_2Emin_2E_3D(X0))) = X2 ),
    inference(resolution,[],[f528,f136]) ).

fof(f528,plain,
    ! [X0,X1] :
      ( mem(sK4(X0,X1,c_2Emin_2E_3D(X0)),X0)
      | c_2Emin_2E_3D(X0) = X1
      | ~ mem(X1,arr(X0,arr(X0,bool)))
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f105]) ).

fof(f1575,plain,
    ! [X0] :
      ( p(ap(sK1,X0))
      | ~ mem(X0,sK0)
      | mem(sK2(sK0,sK1),sK0) ),
    inference(subsumption_resolution,[],[f1564,f96]) ).

fof(f1564,plain,
    ! [X0] :
      ( p(ap(sK1,X0))
      | ~ mem(X0,sK0)
      | ~ ne(sK0)
      | mem(sK2(sK0,sK1),sK0) ),
    inference(resolution,[],[f447,f97]) ).

fof(f1568,plain,
    ! [X2,X3,X0,X1] :
      ( p(ap(sK3(arr(X0,bool),X1,X2),X3))
      | ~ mem(X3,X0)
      | ~ ne(X0)
      | mem(sK2(X0,sK3(arr(X0,bool),X1,X2)),X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(arr(X0,bool)),X1),X2))
      | ~ mem(X2,arr(arr(X0,bool),bool))
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(arr(X0,bool)) ),
    inference(resolution,[],[f447,f122]) ).

fof(f1567,plain,
    ! [X2,X0,X1] :
      ( p(ap(sK2(arr(X0,bool),X1),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0)
      | mem(sK2(X0,sK2(arr(X0,bool),X1)),X0)
      | p(ap(c_2Ebool_2E_21(arr(X0,bool)),X1))
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(arr(X0,bool)) ),
    inference(resolution,[],[f447,f116]) ).

fof(f1566,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ECHOICE(arr(X0,bool)),X1),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0)
      | mem(sK2(X0,ap(c_2Epred__set_2ECHOICE(arr(X0,bool)),X1)),X0)
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(arr(X0,bool)) ),
    inference(resolution,[],[f447,f172]) ).

fof(f1576,plain,
    ! [X0] :
      ( p(ap(c_2Epred__set_2ECHOICE(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(arr(bool,bool))
      | mem(sK2(arr(bool,bool),c_2Epred__set_2ECHOICE(bool)),arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f1565,f100]) ).

fof(f1565,plain,
    ! [X0] :
      ( p(ap(c_2Epred__set_2ECHOICE(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(arr(bool,bool))
      | mem(sK2(arr(bool,bool),c_2Epred__set_2ECHOICE(bool)),arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f447,f106]) ).

fof(f1563,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(X0),X1))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(arr(X0,bool))
      | mem(sK2(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f447,f104]) ).

fof(f1560,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ ne(arr(X0,bool))
      | mem(sK2(arr(X0,bool),ap(c_2Epred__set_2ESUBSET(X0),X1)),arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f447,f189]) ).

fof(f1559,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ ne(arr(X0,bool))
      | mem(sK2(arr(X0,bool),ap(c_2Ebool_2EIN(X0),X1)),arr(X0,bool))
      | ~ mem(X1,X0)
      | ~ ne(X0) ),
    inference(resolution,[],[f447,f170]) ).

fof(f1571,plain,
    ! [X0,X1] :
      ( mem(sK2(bool,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
      | p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(subsumption_resolution,[],[f1557,f100]) ).

fof(f1557,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
      | ~ mem(X1,bool)
      | ~ ne(bool)
      | mem(sK2(bool,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f447,f167]) ).

fof(f1569,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2EREST(X0),X1),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0)
      | mem(sK2(X0,ap(c_2Epred__set_2EREST(X0),X1)),X0)
      | ~ mem(X1,arr(X0,bool)) ),
    inference(duplicate_literal_removal,[],[f1556]) ).

fof(f1556,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2EREST(X0),X1),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0)
      | mem(sK2(X0,ap(c_2Epred__set_2EREST(X0),X1)),X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f447,f171]) ).

fof(f1570,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0)
      | mem(sK2(X0,ap(c_2Emin_2E_3D(X0),X1)),X0)
      | ~ mem(X1,X0) ),
    inference(duplicate_literal_removal,[],[f1555]) ).

fof(f1555,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0)
      | mem(sK2(X0,ap(c_2Emin_2E_3D(X0),X1)),X0)
      | ~ mem(X1,X0)
      | ~ ne(X0) ),
    inference(resolution,[],[f447,f169]) ).

fof(f1503,plain,
    c_2Epred__set_2EDELETE(sK0) = ap(i(arr(arr(sK0,bool),arr(sK0,arr(sK0,bool)))),c_2Epred__set_2EDELETE(sK0)),
    inference(resolution,[],[f245,f96]) ).

fof(f1502,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2EDELETE(arr(X0,X1)) = ap(i(arr(arr(arr(X0,X1),bool),arr(arr(X0,X1),arr(arr(X0,X1),bool)))),c_2Epred__set_2EDELETE(arr(X0,X1)))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f245,f111]) ).

fof(f1501,plain,
    c_2Epred__set_2EDELETE(ind) = ap(i(arr(arr(ind,bool),arr(ind,arr(ind,bool)))),c_2Epred__set_2EDELETE(ind)),
    inference(resolution,[],[f245,f99]) ).

fof(f1500,plain,
    c_2Epred__set_2EDELETE(bool) = ap(i(arr(arr(bool,bool),arr(bool,arr(bool,bool)))),c_2Epred__set_2EDELETE(bool)),
    inference(resolution,[],[f245,f100]) ).

fof(f245,plain,
    ! [X0] :
      ( ~ ne(X0)
      | c_2Epred__set_2EDELETE(X0) = ap(i(arr(arr(X0,bool),arr(X0,arr(X0,bool)))),c_2Epred__set_2EDELETE(X0)) ),
    inference(resolution,[],[f110,f135]) ).

fof(f1412,plain,
    ! [X0] : ap(k(arr(arr(sK0,bool),arr(sK0,arr(sK0,bool))),X0),c_2Epred__set_2EDELETE(sK0)) = X0,
    inference(resolution,[],[f244,f96]) ).

fof(f1411,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(arr(arr(X0,X1),bool),arr(arr(X0,X1),arr(arr(X0,X1),bool))),X2),c_2Epred__set_2EDELETE(arr(X0,X1))) = X2
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f244,f111]) ).

fof(f1410,plain,
    ! [X0] : ap(k(arr(arr(ind,bool),arr(ind,arr(ind,bool))),X0),c_2Epred__set_2EDELETE(ind)) = X0,
    inference(resolution,[],[f244,f99]) ).

fof(f1409,plain,
    ! [X0] : ap(k(arr(arr(bool,bool),arr(bool,arr(bool,bool))),X0),c_2Epred__set_2EDELETE(bool)) = X0,
    inference(resolution,[],[f244,f100]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ap(k(arr(arr(X0,bool),arr(X0,arr(X0,bool))),X1),c_2Epred__set_2EDELETE(X0)) = X1 ),
    inference(resolution,[],[f110,f136]) ).

fof(f1347,plain,
    c_2Epred__set_2ESUBSET(sK0) = ap(i(arr(arr(sK0,bool),arr(arr(sK0,bool),bool))),c_2Epred__set_2ESUBSET(sK0)),
    inference(resolution,[],[f191,f96]) ).

fof(f1346,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ESUBSET(arr(X0,X1)) = ap(i(arr(arr(arr(X0,X1),bool),arr(arr(arr(X0,X1),bool),bool))),c_2Epred__set_2ESUBSET(arr(X0,X1)))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f191,f111]) ).

fof(f1345,plain,
    c_2Epred__set_2ESUBSET(ind) = ap(i(arr(arr(ind,bool),arr(arr(ind,bool),bool))),c_2Epred__set_2ESUBSET(ind)),
    inference(resolution,[],[f191,f99]) ).

fof(f1344,plain,
    c_2Epred__set_2ESUBSET(bool) = ap(i(arr(arr(bool,bool),arr(arr(bool,bool),bool))),c_2Epred__set_2ESUBSET(bool)),
    inference(resolution,[],[f191,f100]) ).

fof(f191,plain,
    ! [X0] :
      ( ~ ne(X0)
      | c_2Epred__set_2ESUBSET(X0) = ap(i(arr(arr(X0,bool),arr(arr(X0,bool),bool))),c_2Epred__set_2ESUBSET(X0)) ),
    inference(resolution,[],[f109,f135]) ).

fof(f1302,plain,
    ! [X0] : ap(k(arr(arr(sK0,bool),arr(arr(sK0,bool),bool)),X0),c_2Epred__set_2ESUBSET(sK0)) = X0,
    inference(resolution,[],[f190,f96]) ).

fof(f1301,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(arr(arr(X0,X1),bool),arr(arr(arr(X0,X1),bool),bool)),X2),c_2Epred__set_2ESUBSET(arr(X0,X1))) = X2
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f190,f111]) ).

fof(f1300,plain,
    ! [X0] : ap(k(arr(arr(ind,bool),arr(arr(ind,bool),bool)),X0),c_2Epred__set_2ESUBSET(ind)) = X0,
    inference(resolution,[],[f190,f99]) ).

fof(f1299,plain,
    ! [X0] : ap(k(arr(arr(bool,bool),arr(arr(bool,bool),bool)),X0),c_2Epred__set_2ESUBSET(bool)) = X0,
    inference(resolution,[],[f190,f100]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ap(k(arr(arr(X0,bool),arr(arr(X0,bool),bool)),X1),c_2Epred__set_2ESUBSET(X0)) = X1 ),
    inference(resolution,[],[f109,f136]) ).

fof(f1259,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(c_2Epred__set_2EDELETE(X1),X0) = ap(i(arr(X1,arr(X1,bool))),ap(c_2Epred__set_2EDELETE(X1),X0)) ),
    inference(resolution,[],[f243,f135]) ).

fof(f1258,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(k(arr(X1,arr(X1,bool)),X2),ap(c_2Epred__set_2EDELETE(X1),X0)) = X2 ),
    inference(resolution,[],[f243,f136]) ).

fof(f1261,plain,
    ! [X0] :
      ( mem(sK4(bool,ap(c_2Epred__set_2EDELETE(bool),X0),c_2Emin_2E_3D_3D_3E),bool)
      | c_2Emin_2E_3D_3D_3E = ap(c_2Epred__set_2EDELETE(bool),X0)
      | ~ mem(X0,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f1257,f100]) ).

fof(f1257,plain,
    ! [X0] :
      ( ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | c_2Emin_2E_3D_3D_3E = ap(c_2Epred__set_2EDELETE(bool),X0)
      | mem(sK4(bool,ap(c_2Epred__set_2EDELETE(bool),X0),c_2Emin_2E_3D_3D_3E),bool) ),
    inference(resolution,[],[f243,f526]) ).

fof(f1260,plain,
    ! [X0] :
      ( mem(sK4(bool,ap(c_2Epred__set_2EDELETE(bool),X0),c_2Ebool_2E_2F_5C),bool)
      | c_2Ebool_2E_2F_5C = ap(c_2Epred__set_2EDELETE(bool),X0)
      | ~ mem(X0,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f1256,f100]) ).

fof(f1256,plain,
    ! [X0] :
      ( ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | c_2Ebool_2E_2F_5C = ap(c_2Epred__set_2EDELETE(bool),X0)
      | mem(sK4(bool,ap(c_2Epred__set_2EDELETE(bool),X0),c_2Ebool_2E_2F_5C),bool) ),
    inference(resolution,[],[f243,f527]) ).

fof(f1255,plain,
    ! [X2,X0,X1] :
      ( mem(ap(ap(c_2Epred__set_2EDELETE(X1),X0),X2),arr(X1,bool))
      | ~ ne(X1)
      | ~ mem(X2,X1)
      | ~ mem(X0,arr(X1,bool)) ),
    inference(resolution,[],[f243,f137]) ).

fof(f1254,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | mem(sK4(X1,X2,ap(c_2Epred__set_2EDELETE(X1),X0)),X1)
      | ap(c_2Epred__set_2EDELETE(X1),X0) = X2
      | ~ mem(X2,arr(X1,arr(X1,bool))) ),
    inference(resolution,[],[f243,f138]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( mem(ap(c_2Epred__set_2EDELETE(X0),X1),arr(X0,arr(X0,bool)))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f110,f137]) ).

fof(f1207,plain,
    ( c_2Ebool_2E_2F_5C = c_2Emin_2E_3D(bool)
    | mem(sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C),bool) ),
    inference(subsumption_resolution,[],[f1202,f100]) ).

fof(f1202,plain,
    ( c_2Ebool_2E_2F_5C = c_2Emin_2E_3D(bool)
    | mem(sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C),bool)
    | ~ ne(bool) ),
    inference(resolution,[],[f527,f105]) ).

fof(f1212,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(c_2Epred__set_2ESUBSET(X1),X0) = ap(i(arr(arr(X1,bool),bool)),ap(c_2Epred__set_2ESUBSET(X1),X0)) ),
    inference(resolution,[],[f189,f135]) ).

fof(f1211,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(k(arr(arr(X1,bool),bool),X2),ap(c_2Epred__set_2ESUBSET(X1),X0)) = X2 ),
    inference(resolution,[],[f189,f136]) ).

fof(f1210,plain,
    ! [X2,X0,X1] :
      ( mem(ap(ap(c_2Epred__set_2ESUBSET(X1),X0),X2),bool)
      | ~ ne(X1)
      | ~ mem(X2,arr(X1,bool))
      | ~ mem(X0,arr(X1,bool)) ),
    inference(resolution,[],[f189,f137]) ).

fof(f1209,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | mem(sK4(arr(X1,bool),X2,ap(c_2Epred__set_2ESUBSET(X1),X0)),arr(X1,bool))
      | ap(c_2Epred__set_2ESUBSET(X1),X0) = X2
      | ~ mem(X2,arr(arr(X1,bool),bool)) ),
    inference(resolution,[],[f189,f138]) ).

fof(f1208,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(c_2Epred__set_2EREST(arr(X1,bool)),ap(c_2Epred__set_2ESUBSET(X1),X0)) = ap(ap(c_2Epred__set_2EDELETE(arr(X1,bool)),ap(c_2Epred__set_2ESUBSET(X1),X0)),ap(c_2Epred__set_2ECHOICE(arr(X1,bool)),ap(c_2Epred__set_2ESUBSET(X1),X0)))
      | ~ ne(arr(X1,bool)) ),
    inference(resolution,[],[f189,f114]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( mem(ap(c_2Epred__set_2ESUBSET(X0),X1),arr(arr(X0,bool),bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f109,f137]) ).

fof(f1205,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_2F_5C = sK3(arr(bool,arr(bool,bool)),X0,X1)
      | mem(sK4(bool,sK3(arr(bool,arr(bool,bool)),X0,X1),c_2Ebool_2E_2F_5C),bool)
      | p(ap(ap(c_2Epred__set_2ESUBSET(arr(bool,arr(bool,bool))),X0),X1))
      | ~ mem(X1,arr(arr(bool,arr(bool,bool)),bool))
      | ~ mem(X0,arr(arr(bool,arr(bool,bool)),bool))
      | ~ ne(arr(bool,arr(bool,bool))) ),
    inference(resolution,[],[f527,f122]) ).

fof(f1204,plain,
    ! [X0] :
      ( c_2Ebool_2E_2F_5C = sK2(arr(bool,arr(bool,bool)),X0)
      | mem(sK4(bool,sK2(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_2F_5C),bool)
      | p(ap(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),X0))
      | ~ mem(X0,arr(arr(bool,arr(bool,bool)),bool))
      | ~ ne(arr(bool,arr(bool,bool))) ),
    inference(resolution,[],[f527,f116]) ).

fof(f1203,plain,
    ! [X0] :
      ( c_2Ebool_2E_2F_5C = ap(c_2Epred__set_2ECHOICE(arr(bool,arr(bool,bool))),X0)
      | mem(sK4(bool,ap(c_2Epred__set_2ECHOICE(arr(bool,arr(bool,bool))),X0),c_2Ebool_2E_2F_5C),bool)
      | ~ mem(X0,arr(arr(bool,arr(bool,bool)),bool))
      | ~ ne(arr(bool,arr(bool,bool))) ),
    inference(resolution,[],[f527,f172]) ).

fof(f527,plain,
    ! [X0] :
      ( ~ mem(X0,arr(bool,arr(bool,bool)))
      | c_2Ebool_2E_2F_5C = X0
      | mem(sK4(bool,X0,c_2Ebool_2E_2F_5C),bool) ),
    inference(resolution,[],[f138,f103]) ).

fof(f1155,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(ap(c_2Epred__set_2EDELETE(X0),X3),X4)),X2))
      | ~ mem(X1,X0)
      | p(ap(ap(c_2Ebool_2EIN(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(ap(ap(c_2Epred__set_2EDELETE(X0),X3),X4),arr(X0,bool))
      | ~ ne(X0)
      | X1 = X4
      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X1),X3))
      | ~ mem(X4,X0)
      | ~ mem(X3,arr(X0,bool)) ),
    inference(duplicate_literal_removal,[],[f1154]) ).

fof(f1154,plain,
    ! [X2,X3,X0,X1,X4] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),X1),X2))
      | ~ mem(X1,X0)
      | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(ap(c_2Epred__set_2EDELETE(X0),X3),X4)),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(ap(ap(c_2Epred__set_2EDELETE(X0),X3),X4),arr(X0,bool))
      | ~ ne(X0)
      | X1 = X4
      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X1),X3))
      | ~ mem(X4,X0)
      | ~ mem(X1,X0)
      | ~ mem(X3,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f121,f120]) ).

fof(f1157,plain,
    ! [X2,X3,X0,X1] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X3))
      | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X3))
      | ~ mem(X3,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool)) ),
    inference(subsumption_resolution,[],[f1156,f122]) ).

fof(f1156,plain,
    ! [X2,X3,X0,X1] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X3))
      | ~ mem(sK3(X0,X1,X2),X0)
      | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X3))
      | ~ mem(X3,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool)) ),
    inference(duplicate_literal_removal,[],[f1153]) ).

fof(f1153,plain,
    ! [X2,X3,X0,X1] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X3))
      | ~ mem(sK3(X0,X1,X2),X0)
      | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X3))
      | ~ mem(X3,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f121,f123]) ).

fof(f121,plain,
    ! [X2,X0,X1,X4] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(X0),X4),X1))
      | p(ap(ap(c_2Ebool_2EIN(X0),X4),X2))
      | ~ mem(X4,X0)
      | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f1136,plain,
    ! [X0] :
      ( p(ap(ap(c_2Ebool_2EIN(bool),X0),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E)))
      | ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E) = X0
      | ~ p(ap(ap(c_2Ebool_2EIN(bool),X0),c_2Ebool_2E_7E))
      | ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
      | ~ mem(X0,bool) ),
    inference(subsumption_resolution,[],[f1135,f100]) ).

fof(f1135,plain,
    ! [X0] :
      ( p(ap(ap(c_2Ebool_2EIN(bool),X0),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E)))
      | ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E) = X0
      | ~ p(ap(ap(c_2Ebool_2EIN(bool),X0),c_2Ebool_2E_7E))
      | ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
      | ~ mem(X0,bool)
      | ~ ne(bool) ),
    inference(subsumption_resolution,[],[f1096,f101]) ).

fof(f1096,plain,
    ! [X0] :
      ( p(ap(ap(c_2Ebool_2EIN(bool),X0),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E)))
      | ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E) = X0
      | ~ p(ap(ap(c_2Ebool_2EIN(bool),X0),c_2Ebool_2E_7E))
      | ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
      | ~ mem(X0,bool)
      | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
      | ~ ne(bool) ),
    inference(superposition,[],[f120,f631]) ).

fof(f1100,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3))),X2))
      | sK3(X0,X1,ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3)) = X3
      | ~ mem(X3,X0)
      | ~ mem(X2,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3)))
      | ~ mem(ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3),arr(X0,bool))
      | ~ mem(X1,arr(X0,bool)) ),
    inference(subsumption_resolution,[],[f1097,f122]) ).

fof(f1097,plain,
    ! [X2,X3,X0,X1] :
      ( sK3(X0,X1,ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3)) = X3
      | ~ p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3))),X2))
      | ~ mem(X3,X0)
      | ~ mem(sK3(X0,X1,ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3)),X0)
      | ~ mem(X2,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3)))
      | ~ mem(ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3),arr(X0,bool))
      | ~ mem(X1,arr(X0,bool)) ),
    inference(duplicate_literal_removal,[],[f1094]) ).

fof(f1094,plain,
    ! [X2,X3,X0,X1] :
      ( sK3(X0,X1,ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3)) = X3
      | ~ p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3))),X2))
      | ~ mem(X3,X0)
      | ~ mem(sK3(X0,X1,ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3)),X0)
      | ~ mem(X2,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3)))
      | ~ mem(ap(ap(c_2Epred__set_2EDELETE(X0),X2),X3),arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f120,f124]) ).

fof(f120,plain,
    ! [X2,X3,X0,X1] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
      | X2 = X3
      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),X1))
      | ~ mem(X3,X0)
      | ~ mem(X2,X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f962,plain,
    ! [X0] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(bool),X0),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E)))
      | p(ap(ap(c_2Ebool_2EIN(bool),X0),c_2Ebool_2E_7E))
      | ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
      | ~ mem(X0,bool) ),
    inference(subsumption_resolution,[],[f961,f100]) ).

fof(f961,plain,
    ! [X0] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(bool),X0),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E)))
      | p(ap(ap(c_2Ebool_2EIN(bool),X0),c_2Ebool_2E_7E))
      | ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
      | ~ mem(X0,bool)
      | ~ ne(bool) ),
    inference(subsumption_resolution,[],[f955,f101]) ).

fof(f955,plain,
    ! [X0] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(bool),X0),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E)))
      | p(ap(ap(c_2Ebool_2EIN(bool),X0),c_2Ebool_2E_7E))
      | ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
      | ~ mem(X0,bool)
      | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
      | ~ ne(bool) ),
    inference(superposition,[],[f118,f631]) ).

fof(f925,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X1))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(duplicate_literal_removal,[],[f924]) ).

fof(f924,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X1))
      | ~ mem(X1,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X1))
      | ~ mem(X1,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f124,f123]) ).

fof(f139,plain,
    ! [X2,X3,X0,X1] :
      ( ap(X2,sK4(X0,X2,X3)) != ap(X3,sK4(X0,X2,X3))
      | X2 = X3
      | ~ mem(X3,arr(X0,X1))
      | ~ mem(X2,arr(X0,X1)) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( X2 = X3
          | ( ap(X2,sK4(X0,X2,X3)) != ap(X3,sK4(X0,X2,X3))
            & mem(sK4(X0,X2,X3),X0) )
          | ~ mem(X3,arr(X0,X1)) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f73,f94]) ).

fof(f94,plain,
    ! [X0,X2,X3] :
      ( ? [X4] :
          ( ap(X2,X4) != ap(X3,X4)
          & mem(X4,X0) )
     => ( ap(X2,sK4(X0,X2,X3)) != ap(X3,sK4(X0,X2,X3))
        & mem(sK4(X0,X2,X3),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( X2 = X3
          | ? [X4] :
              ( ap(X2,X4) != ap(X3,X4)
              & mem(X4,X0) )
          | ~ mem(X3,arr(X0,X1)) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( X2 = X3
          | ? [X4] :
              ( ap(X2,X4) != ap(X3,X4)
              & mem(X4,X0) )
          | ~ mem(X3,arr(X0,X1)) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,arr(X0,X1))
         => ( ! [X4] :
                ( mem(X4,X0)
               => ap(X2,X4) = ap(X3,X4) )
           => X2 = X3 ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X6] :
          ( mem(X6,arr(X0,X1))
         => ( ! [X3] :
                ( mem(X3,X0)
               => ap(X2,X3) = ap(X6,X3) )
           => X2 = X6 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcext) ).

fof(f779,plain,
    ( mem(sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0)
    | ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f778,f96]) ).

fof(f778,plain,
    ( mem(sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0)
    | ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
    | ~ ne(sK0) ),
    inference(subsumption_resolution,[],[f734,f97]) ).

fof(f734,plain,
    ( mem(sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0)
    | ~ mem(sK1,arr(sK0,bool))
    | ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
    | ~ ne(sK0) ),
    inference(resolution,[],[f122,f98]) ).

fof(f807,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1)))))) = X2 ),
    inference(subsumption_resolution,[],[f777,f96]) ).

fof(f777,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1)))))) = X2 ),
    inference(resolution,[],[f122,f462]) ).

fof(f806,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(arr(bool,bool),X2),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1))))) = X2 ),
    inference(subsumption_resolution,[],[f776,f96]) ).

fof(f776,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X2),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1))))) = X2 ),
    inference(resolution,[],[f122,f448]) ).

fof(f805,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(arr(bool,bool),X2),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1))))) = X2 ),
    inference(subsumption_resolution,[],[f775,f96]) ).

fof(f775,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X2),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1))))) = X2 ),
    inference(resolution,[],[f122,f432]) ).

fof(f804,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(c_2Ebool_2E_2F_5C,ap(sK1,sK3(sK0,X0,X1))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK3(sK0,X0,X1)))) ),
    inference(subsumption_resolution,[],[f774,f96]) ).

fof(f774,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(c_2Ebool_2E_2F_5C,ap(sK1,sK3(sK0,X0,X1))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK3(sK0,X0,X1)))) ),
    inference(resolution,[],[f122,f373]) ).

fof(f803,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK3(sK0,X0,X1))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK3(sK0,X0,X1)))) ),
    inference(subsumption_resolution,[],[f773,f96]) ).

fof(f773,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK3(sK0,X0,X1))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK3(sK0,X0,X1)))) ),
    inference(resolution,[],[f122,f360]) ).

fof(f802,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK3(sK0,X0,X1)))))) = X2 ),
    inference(subsumption_resolution,[],[f772,f96]) ).

fof(f772,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK3(sK0,X0,X1)))))) = X2 ),
    inference(resolution,[],[f122,f349]) ).

fof(f801,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1))))) = X2 ),
    inference(subsumption_resolution,[],[f771,f96]) ).

fof(f771,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1))))) = X2 ),
    inference(resolution,[],[f122,f332]) ).

fof(f800,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(arr(bool,bool),X2),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK3(sK0,X0,X1)))) = X2 ),
    inference(subsumption_resolution,[],[f770,f96]) ).

fof(f770,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X2),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK3(sK0,X0,X1)))) = X2 ),
    inference(resolution,[],[f122,f291]) ).

fof(f799,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(arr(bool,bool),X2),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK3(sK0,X0,X1)))) = X2 ),
    inference(subsumption_resolution,[],[f769,f96]) ).

fof(f769,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X2),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK3(sK0,X0,X1)))) = X2 ),
    inference(resolution,[],[f122,f282]) ).

fof(f798,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X2),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK3(sK0,X0,X1))))) = X2 ),
    inference(subsumption_resolution,[],[f768,f96]) ).

fof(f768,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X2),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK3(sK0,X0,X1))))) = X2 ),
    inference(resolution,[],[f122,f242]) ).

fof(f797,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1)))) ),
    inference(subsumption_resolution,[],[f767,f96]) ).

fof(f767,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1)))) ),
    inference(resolution,[],[f122,f215]) ).

fof(f796,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1)))) = X2 ),
    inference(subsumption_resolution,[],[f766,f96]) ).

fof(f766,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(sK1,sK3(sK0,X0,X1)))) = X2 ),
    inference(resolution,[],[f122,f187]) ).

fof(f795,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(sK1,sK3(sK0,X0,X1)) = ap(i(bool),ap(sK1,sK3(sK0,X0,X1))) ),
    inference(subsumption_resolution,[],[f765,f96]) ).

fof(f765,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(sK1,sK3(sK0,X0,X1)) = ap(i(bool),ap(sK1,sK3(sK0,X0,X1))) ),
    inference(resolution,[],[f122,f176]) ).

fof(f794,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X2),ap(sK1,sK3(sK0,X0,X1))) = X2 ),
    inference(subsumption_resolution,[],[f764,f96]) ).

fof(f764,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X2),ap(sK1,sK3(sK0,X0,X1))) = X2 ),
    inference(resolution,[],[f122,f175]) ).

fof(f763,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(bool,arr(bool,bool))),X0),X1))
      | ~ mem(X1,arr(arr(bool,arr(bool,bool)),bool))
      | ~ mem(X0,arr(arr(bool,arr(bool,bool)),bool))
      | ~ ne(arr(bool,arr(bool,bool)))
      | c_2Emin_2E_3D_3D_3E = sK3(arr(bool,arr(bool,bool)),X0,X1)
      | mem(sK4(bool,sK3(arr(bool,arr(bool,bool)),X0,X1),c_2Emin_2E_3D_3D_3E),bool) ),
    inference(resolution,[],[f122,f526]) ).

fof(f762,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(sK0,bool)),X0),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool))
      | sK1 = sK3(arr(sK0,bool),X0,X1)
      | sK4(sK0,sK3(arr(sK0,bool),X0,X1),sK1) = ap(i(sK0),sK4(sK0,sK3(arr(sK0,bool),X0,X1),sK1)) ),
    inference(resolution,[],[f122,f551]) ).

fof(f761,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(sK0,bool)),X0),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool))
      | sK1 = sK3(arr(sK0,bool),X0,X1)
      | ap(k(sK0,X2),sK4(sK0,sK3(arr(sK0,bool),X0,X1),sK1)) = X2 ),
    inference(resolution,[],[f122,f550]) ).

fof(f760,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(sK0,bool)),X0),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool))
      | sK1 = sK3(arr(sK0,bool),X0,X1)
      | ap(k(bool,X2),ap(sK1,sK4(sK0,sK3(arr(sK0,bool),X0,X1),sK1))) = X2 ),
    inference(resolution,[],[f122,f536]) ).

fof(f759,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(sK0,bool)),X0),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool))
      | ap(k(bool,X2),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),sK3(arr(sK0,bool),X0,X1))))) = X2 ),
    inference(resolution,[],[f122,f359]) ).

fof(f758,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(sK0,bool)),X0),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool))
      | ap(k(arr(bool,bool),X2),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK3(arr(sK0,bool),X0,X1))))) = X2 ),
    inference(resolution,[],[f122,f290]) ).

fof(f757,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(sK0,bool)),X0),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool))
      | ap(k(bool,X2),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK3(arr(sK0,bool),X0,X1)))) = X2 ),
    inference(resolution,[],[f122,f214]) ).

fof(f756,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(sK0,bool)),X0),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool))
      | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK3(arr(sK0,bool),X0,X1))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK3(arr(sK0,bool),X0,X1)))) ),
    inference(resolution,[],[f122,f213]) ).

fof(f755,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(sK0,bool)),X0),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool))
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK3(arr(sK0,bool),X0,X1))))) = X2 ),
    inference(resolution,[],[f122,f212]) ).

fof(f754,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(arr(X0,bool)),X1),X2))
      | ~ mem(X2,arr(arr(X0,bool),bool))
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(arr(X0,bool))
      | ap(c_2Epred__set_2EREST(X0),sK3(arr(X0,bool),X1,X2)) = ap(ap(c_2Epred__set_2EDELETE(X0),sK3(arr(X0,bool),X1,X2)),ap(c_2Epred__set_2ECHOICE(X0),sK3(arr(X0,bool),X1,X2)))
      | ~ ne(X0) ),
    inference(resolution,[],[f122,f114]) ).

fof(f753,plain,
    ! [X2,X3,X0,X1,X4] :
      ( mem(ap(sK3(arr(X0,X1),X2,X3),X4),X1)
      | ~ mem(X3,arr(arr(X0,X1),bool))
      | ~ mem(X2,arr(arr(X0,X1),bool))
      | ~ ne(arr(X0,X1))
      | ~ mem(X4,X0)
      | p(ap(ap(c_2Epred__set_2ESUBSET(arr(X0,X1)),X2),X3)) ),
    inference(resolution,[],[f122,f137]) ).

fof(f752,plain,
    ! [X2,X3,X0,X1,X4] :
      ( mem(sK4(X0,X4,sK3(arr(X0,X1),X2,X3)),X0)
      | ~ mem(X3,arr(arr(X0,X1),bool))
      | ~ mem(X2,arr(arr(X0,X1),bool))
      | ~ ne(arr(X0,X1))
      | p(ap(ap(c_2Epred__set_2ESUBSET(arr(X0,X1)),X2),X3))
      | sK3(arr(X0,X1),X2,X3) = X4
      | ~ mem(X4,arr(X0,X1)) ),
    inference(resolution,[],[f122,f138]) ).

fof(f793,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(sK1,X2) = ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))
      | ~ mem(X2,sK0)
      | p(ap(sK1,X2))
      | ~ p(sK3(bool,X0,X1)) ),
    inference(subsumption_resolution,[],[f751,f100]) ).

fof(f751,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(sK1,X2) = ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))
      | ~ mem(X2,sK0)
      | p(ap(sK1,X2))
      | ~ p(sK3(bool,X0,X1)) ),
    inference(resolution,[],[f122,f495]) ).

fof(f792,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))))) = X2 ),
    inference(subsumption_resolution,[],[f750,f100]) ).

fof(f750,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))))) = X2 ),
    inference(resolution,[],[f122,f333]) ).

fof(f791,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X2),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)))) = X2 ),
    inference(subsumption_resolution,[],[f749,f100]) ).

fof(f749,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X2),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)))) = X2 ),
    inference(resolution,[],[f122,f292]) ).

fof(f790,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X2),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)))) = X2 ),
    inference(subsumption_resolution,[],[f748,f100]) ).

fof(f748,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X2),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)))) = X2 ),
    inference(resolution,[],[f122,f283]) ).

fof(f789,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)))) = X2 ),
    inference(subsumption_resolution,[],[f747,f100]) ).

fof(f747,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)))) = X2 ),
    inference(resolution,[],[f122,f188]) ).

fof(f788,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(c_2Ebool_2E_2F_5C,sK3(bool,X0,X1)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK3(bool,X0,X1))) ),
    inference(subsumption_resolution,[],[f746,f100]) ).

fof(f746,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(c_2Ebool_2E_2F_5C,sK3(bool,X0,X1)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK3(bool,X0,X1))) ),
    inference(resolution,[],[f122,f186]) ).

fof(f787,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X2),ap(c_2Ebool_2E_2F_5C,sK3(bool,X0,X1))) = X2 ),
    inference(subsumption_resolution,[],[f745,f100]) ).

fof(f745,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X2),ap(c_2Ebool_2E_2F_5C,sK3(bool,X0,X1))) = X2 ),
    inference(resolution,[],[f122,f185]) ).

fof(f786,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(c_2Emin_2E_3D_3D_3E,sK3(bool,X0,X1)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK3(bool,X0,X1))) ),
    inference(subsumption_resolution,[],[f744,f100]) ).

fof(f744,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(c_2Emin_2E_3D_3D_3E,sK3(bool,X0,X1)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK3(bool,X0,X1))) ),
    inference(resolution,[],[f122,f183]) ).

fof(f785,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X2),ap(c_2Emin_2E_3D_3D_3E,sK3(bool,X0,X1))) = X2 ),
    inference(subsumption_resolution,[],[f743,f100]) ).

fof(f743,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X2),ap(c_2Emin_2E_3D_3D_3E,sK3(bool,X0,X1))) = X2 ),
    inference(resolution,[],[f122,f182]) ).

fof(f784,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))) ),
    inference(subsumption_resolution,[],[f742,f100]) ).

fof(f742,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))) ),
    inference(resolution,[],[f122,f180]) ).

fof(f783,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))) = X2 ),
    inference(subsumption_resolution,[],[f741,f100]) ).

fof(f741,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))) = X2 ),
    inference(resolution,[],[f122,f179]) ).

fof(f782,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | p(ap(sK1,X2))
      | p(sK3(bool,X0,X1))
      | ap(sK1,X2) = sK3(bool,X0,X1)
      | ~ mem(X2,sK0) ),
    inference(subsumption_resolution,[],[f740,f100]) ).

fof(f740,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | p(ap(sK1,X2))
      | p(sK3(bool,X0,X1))
      | ap(sK1,X2) = sK3(bool,X0,X1)
      | ~ mem(X2,sK0) ),
    inference(resolution,[],[f122,f174]) ).

fof(f781,plain,
    ! [X2,X0,X1] :
      ( ~ p(sK3(bool,X0,X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ p(X2)
      | sK3(bool,X0,X1) = X2
      | ~ mem(X2,bool) ),
    inference(subsumption_resolution,[],[f739,f100]) ).

fof(f739,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ~ p(sK3(bool,X0,X1))
      | ~ p(X2)
      | sK3(bool,X0,X1) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f122,f128]) ).

fof(f780,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X1,arr(bool,bool))
      | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X0,arr(bool,bool))
      | p(sK3(bool,X0,X1))
      | p(X2)
      | sK3(bool,X0,X1) = X2
      | ~ mem(X2,bool) ),
    inference(subsumption_resolution,[],[f738,f100]) ).

fof(f738,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | p(sK3(bool,X0,X1))
      | p(X2)
      | sK3(bool,X0,X1) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f122,f127]) ).

fof(f737,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | sK3(X0,X1,X2) = ap(i(X0),sK3(X0,X1,X2)) ),
    inference(resolution,[],[f122,f135]) ).

fof(f736,plain,
    ! [X2,X3,X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | ap(k(X0,X3),sK3(X0,X1,X2)) = X3 ),
    inference(resolution,[],[f122,f136]) ).

fof(f735,plain,
    ! [X2,X0,X1] :
      ( mem(sK3(X0,X1,sK2(X2,ap(c_2Epred__set_2ESUBSET(X0),X1))),X0)
      | ~ mem(sK2(X2,ap(c_2Epred__set_2ESUBSET(X0),X1)),arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(c_2Ebool_2E_21(X2),ap(c_2Epred__set_2ESUBSET(X0),X1)))
      | ~ mem(ap(c_2Epred__set_2ESUBSET(X0),X1),arr(X2,bool))
      | ~ ne(X2) ),
    inference(resolution,[],[f122,f117]) ).

fof(f709,plain,
    ( ~ p(ap(ap(c_2Ebool_2EIN(sK0),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),ap(c_2Epred__set_2EREST(sK0),sK1)))
    | ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0) ),
    inference(subsumption_resolution,[],[f708,f96]) ).

fof(f708,plain,
    ( ~ p(ap(ap(c_2Ebool_2EIN(sK0),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),ap(c_2Epred__set_2EREST(sK0),sK1)))
    | ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0)
    | ~ ne(sK0) ),
    inference(subsumption_resolution,[],[f707,f97]) ).

fof(f707,plain,
    ( ~ p(ap(ap(c_2Ebool_2EIN(sK0),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),ap(c_2Epred__set_2EREST(sK0),sK1)))
    | ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0)
    | ~ mem(sK1,arr(sK0,bool))
    | ~ ne(sK0) ),
    inference(superposition,[],[f142,f632]) ).

fof(f724,plain,
    ( ~ p(ap(ap(c_2Ebool_2EIN(bool),ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E)),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E)))
    | ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool) ),
    inference(subsumption_resolution,[],[f723,f100]) ).

fof(f723,plain,
    ( ~ p(ap(ap(c_2Ebool_2EIN(bool),ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E)),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E)))
    | ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
    | ~ ne(bool) ),
    inference(subsumption_resolution,[],[f722,f101]) ).

fof(f722,plain,
    ( ~ p(ap(ap(c_2Ebool_2EIN(bool),ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E)),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E)))
    | ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
    | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
    | ~ ne(bool) ),
    inference(superposition,[],[f142,f631]) ).

fof(f631,plain,
    ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E) = ap(ap(c_2Epred__set_2EDELETE(bool),c_2Ebool_2E_7E),ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E)),
    inference(subsumption_resolution,[],[f620,f100]) ).

fof(f620,plain,
    ( ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E) = ap(ap(c_2Epred__set_2EDELETE(bool),c_2Ebool_2E_7E),ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E))
    | ~ ne(bool) ),
    inference(resolution,[],[f114,f101]) ).

fof(f142,plain,
    ! [X3,X0,X1] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
      | ~ mem(X3,X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X3,X0,X1] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
      | ~ mem(X3,X0)
      | ~ mem(X3,X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(equality_resolution,[],[f119]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1] :
      ( X2 != X3
      | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
      | ~ mem(X3,X0)
      | ~ mem(X2,X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f594,plain,
    ( c_2Emin_2E_3D_3D_3E = c_2Emin_2E_3D(bool)
    | mem(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E),bool) ),
    inference(subsumption_resolution,[],[f591,f100]) ).

fof(f591,plain,
    ( c_2Emin_2E_3D_3D_3E = c_2Emin_2E_3D(bool)
    | mem(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E),bool)
    | ~ ne(bool) ),
    inference(resolution,[],[f526,f105]) ).

fof(f629,plain,
    ! [X0] :
      ( ap(c_2Epred__set_2EREST(bool),ap(c_2Ebool_2E_2F_5C,X0)) = ap(ap(c_2Epred__set_2EDELETE(bool),ap(c_2Ebool_2E_2F_5C,X0)),ap(c_2Epred__set_2ECHOICE(bool),ap(c_2Ebool_2E_2F_5C,X0)))
      | ~ mem(X0,bool) ),
    inference(subsumption_resolution,[],[f616,f100]) ).

fof(f616,plain,
    ! [X0] :
      ( ap(c_2Epred__set_2EREST(bool),ap(c_2Ebool_2E_2F_5C,X0)) = ap(ap(c_2Epred__set_2EDELETE(bool),ap(c_2Ebool_2E_2F_5C,X0)),ap(c_2Epred__set_2ECHOICE(bool),ap(c_2Ebool_2E_2F_5C,X0)))
      | ~ ne(bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f114,f168]) ).

fof(f625,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(arr(X0,bool)),X1))
      | ~ ne(X0)
      | ap(c_2Epred__set_2EREST(X0),sK2(arr(X0,bool),X1)) = ap(ap(c_2Epred__set_2EDELETE(X0),sK2(arr(X0,bool),X1)),ap(c_2Epred__set_2ECHOICE(X0),sK2(arr(X0,bool),X1)))
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(arr(X0,bool)) ),
    inference(resolution,[],[f114,f116]) ).

fof(f624,plain,
    ! [X0,X1] :
      ( ap(c_2Epred__set_2EREST(X0),ap(c_2Epred__set_2ECHOICE(arr(X0,bool)),X1)) = ap(ap(c_2Epred__set_2EDELETE(X0),ap(c_2Epred__set_2ECHOICE(arr(X0,bool)),X1)),ap(c_2Epred__set_2ECHOICE(X0),ap(c_2Epred__set_2ECHOICE(arr(X0,bool)),X1)))
      | ~ ne(X0)
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ ne(arr(X0,bool)) ),
    inference(resolution,[],[f114,f172]) ).

fof(f633,plain,
    ( ap(c_2Epred__set_2EREST(arr(bool,bool)),c_2Epred__set_2ECHOICE(bool)) = ap(ap(c_2Epred__set_2EDELETE(arr(bool,bool)),c_2Epred__set_2ECHOICE(bool)),ap(c_2Epred__set_2ECHOICE(arr(bool,bool)),c_2Epred__set_2ECHOICE(bool)))
    | ~ ne(arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f623,f100]) ).

fof(f623,plain,
    ( ap(c_2Epred__set_2EREST(arr(bool,bool)),c_2Epred__set_2ECHOICE(bool)) = ap(ap(c_2Epred__set_2EDELETE(arr(bool,bool)),c_2Epred__set_2ECHOICE(bool)),ap(c_2Epred__set_2ECHOICE(arr(bool,bool)),c_2Epred__set_2ECHOICE(bool)))
    | ~ ne(arr(bool,bool))
    | ~ ne(bool) ),
    inference(resolution,[],[f114,f106]) ).

fof(f621,plain,
    ! [X0] :
      ( ~ ne(arr(X0,bool))
      | ap(c_2Epred__set_2EREST(arr(X0,bool)),c_2Ebool_2E_21(X0)) = ap(ap(c_2Epred__set_2EDELETE(arr(X0,bool)),c_2Ebool_2E_21(X0)),ap(c_2Epred__set_2ECHOICE(arr(X0,bool)),c_2Ebool_2E_21(X0)))
      | ~ ne(X0) ),
    inference(resolution,[],[f114,f104]) ).

fof(f619,plain,
    ! [X0,X1] :
      ( ap(c_2Epred__set_2EREST(arr(X0,bool)),ap(c_2Ebool_2EIN(X0),X1)) = ap(ap(c_2Epred__set_2EDELETE(arr(X0,bool)),ap(c_2Ebool_2EIN(X0),X1)),ap(c_2Epred__set_2ECHOICE(arr(X0,bool)),ap(c_2Ebool_2EIN(X0),X1)))
      | ~ ne(arr(X0,bool))
      | ~ mem(X1,X0)
      | ~ ne(X0) ),
    inference(resolution,[],[f114,f170]) ).

fof(f626,plain,
    ! [X0,X1] :
      ( ap(c_2Epred__set_2EREST(X0),ap(c_2Epred__set_2EREST(X0),X1)) = ap(ap(c_2Epred__set_2EDELETE(X0),ap(c_2Epred__set_2EREST(X0),X1)),ap(c_2Epred__set_2ECHOICE(X0),ap(c_2Epred__set_2EREST(X0),X1)))
      | ~ ne(X0)
      | ~ mem(X1,arr(X0,bool)) ),
    inference(duplicate_literal_removal,[],[f618]) ).

fof(f618,plain,
    ! [X0,X1] :
      ( ap(c_2Epred__set_2EREST(X0),ap(c_2Epred__set_2EREST(X0),X1)) = ap(ap(c_2Epred__set_2EDELETE(X0),ap(c_2Epred__set_2EREST(X0),X1)),ap(c_2Epred__set_2ECHOICE(X0),ap(c_2Epred__set_2EREST(X0),X1)))
      | ~ ne(X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f114,f171]) ).

fof(f627,plain,
    ! [X0,X1] :
      ( ap(c_2Epred__set_2EREST(X0),ap(c_2Emin_2E_3D(X0),X1)) = ap(ap(c_2Epred__set_2EDELETE(X0),ap(c_2Emin_2E_3D(X0),X1)),ap(c_2Epred__set_2ECHOICE(X0),ap(c_2Emin_2E_3D(X0),X1)))
      | ~ ne(X0)
      | ~ mem(X1,X0) ),
    inference(duplicate_literal_removal,[],[f617]) ).

fof(f617,plain,
    ! [X0,X1] :
      ( ap(c_2Epred__set_2EREST(X0),ap(c_2Emin_2E_3D(X0),X1)) = ap(ap(c_2Epred__set_2EDELETE(X0),ap(c_2Emin_2E_3D(X0),X1)),ap(c_2Epred__set_2ECHOICE(X0),ap(c_2Emin_2E_3D(X0),X1)))
      | ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ ne(X0) ),
    inference(resolution,[],[f114,f169]) ).

fof(f628,plain,
    ! [X0] :
      ( ap(c_2Epred__set_2EREST(bool),ap(c_2Emin_2E_3D_3D_3E,X0)) = ap(ap(c_2Epred__set_2EDELETE(bool),ap(c_2Emin_2E_3D_3D_3E,X0)),ap(c_2Epred__set_2ECHOICE(bool),ap(c_2Emin_2E_3D_3D_3E,X0)))
      | ~ mem(X0,bool) ),
    inference(subsumption_resolution,[],[f615,f100]) ).

fof(f615,plain,
    ! [X0] :
      ( ap(c_2Epred__set_2EREST(bool),ap(c_2Emin_2E_3D_3D_3E,X0)) = ap(ap(c_2Epred__set_2EDELETE(bool),ap(c_2Emin_2E_3D_3D_3E,X0)),ap(c_2Epred__set_2ECHOICE(bool),ap(c_2Emin_2E_3D_3D_3E,X0)))
      | ~ ne(bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f114,f167]) ).

fof(f590,plain,
    ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C
    | mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool) ),
    inference(resolution,[],[f526,f103]) ).

fof(f593,plain,
    ! [X0] :
      ( c_2Emin_2E_3D_3D_3E = sK2(arr(bool,arr(bool,bool)),X0)
      | mem(sK4(bool,sK2(arr(bool,arr(bool,bool)),X0),c_2Emin_2E_3D_3D_3E),bool)
      | p(ap(c_2Ebool_2E_21(arr(bool,arr(bool,bool))),X0))
      | ~ mem(X0,arr(arr(bool,arr(bool,bool)),bool))
      | ~ ne(arr(bool,arr(bool,bool))) ),
    inference(resolution,[],[f526,f116]) ).

fof(f592,plain,
    ! [X0] :
      ( c_2Emin_2E_3D_3D_3E = ap(c_2Epred__set_2ECHOICE(arr(bool,arr(bool,bool))),X0)
      | mem(sK4(bool,ap(c_2Epred__set_2ECHOICE(arr(bool,arr(bool,bool))),X0),c_2Emin_2E_3D_3D_3E),bool)
      | ~ mem(X0,arr(arr(bool,arr(bool,bool)),bool))
      | ~ ne(arr(bool,arr(bool,bool))) ),
    inference(resolution,[],[f526,f172]) ).

fof(f526,plain,
    ! [X0] :
      ( ~ mem(X0,arr(bool,arr(bool,bool)))
      | c_2Emin_2E_3D_3D_3E = X0
      | mem(sK4(bool,X0,c_2Emin_2E_3D_3D_3E),bool) ),
    inference(resolution,[],[f138,f102]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( sK1 = sK2(arr(sK0,bool),X0)
      | ap(k(bool,X1),ap(sK1,sK4(sK0,sK2(arr(sK0,bool),X0),sK1))) = X1
      | p(ap(c_2Ebool_2E_21(arr(sK0,bool)),X0))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f536,f116]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X0)
      | ap(k(bool,X1),ap(sK1,sK4(sK0,ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X0),sK1))) = X1
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f536,f172]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Epred__set_2EREST(sK0),X0)
      | ap(k(bool,X1),ap(sK1,sK4(sK0,ap(c_2Epred__set_2EREST(sK0),X0),sK1))) = X1
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f583,f96]) ).

fof(f583,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Epred__set_2EREST(sK0),X0)
      | ap(k(bool,X1),ap(sK1,sK4(sK0,ap(c_2Epred__set_2EREST(sK0),X0),sK1))) = X1
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f536,f171]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Emin_2E_3D(sK0),X0)
      | ap(k(bool,X1),ap(sK1,sK4(sK0,ap(c_2Emin_2E_3D(sK0),X0),sK1))) = X1
      | ~ mem(X0,sK0) ),
    inference(subsumption_resolution,[],[f582,f96]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Emin_2E_3D(sK0),X0)
      | ap(k(bool,X1),ap(sK1,sK4(sK0,ap(c_2Emin_2E_3D(sK0),X0),sK1))) = X1
      | ~ mem(X0,sK0)
      | ~ ne(sK0) ),
    inference(resolution,[],[f536,f169]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | sK1 = X0
      | ap(k(bool,X1),ap(sK1,sK4(sK0,X0,sK1))) = X1 ),
    inference(resolution,[],[f525,f175]) ).

fof(f579,plain,
    ! [X0] :
      ( sK1 = sK2(arr(sK0,bool),X0)
      | sK4(sK0,sK2(arr(sK0,bool),X0),sK1) = ap(i(sK0),sK4(sK0,sK2(arr(sK0,bool),X0),sK1))
      | p(ap(c_2Ebool_2E_21(arr(sK0,bool)),X0))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f551,f116]) ).

fof(f578,plain,
    ! [X0] :
      ( sK1 = ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X0)
      | sK4(sK0,ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X0),sK1) = ap(i(sK0),sK4(sK0,ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X0),sK1))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f551,f172]) ).

fof(f581,plain,
    ! [X0] :
      ( sK1 = ap(c_2Epred__set_2EREST(sK0),X0)
      | sK4(sK0,ap(c_2Epred__set_2EREST(sK0),X0),sK1) = ap(i(sK0),sK4(sK0,ap(c_2Epred__set_2EREST(sK0),X0),sK1))
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f576,f96]) ).

fof(f576,plain,
    ! [X0] :
      ( sK1 = ap(c_2Epred__set_2EREST(sK0),X0)
      | sK4(sK0,ap(c_2Epred__set_2EREST(sK0),X0),sK1) = ap(i(sK0),sK4(sK0,ap(c_2Epred__set_2EREST(sK0),X0),sK1))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f551,f171]) ).

fof(f580,plain,
    ! [X0] :
      ( sK1 = ap(c_2Emin_2E_3D(sK0),X0)
      | sK4(sK0,ap(c_2Emin_2E_3D(sK0),X0),sK1) = ap(i(sK0),sK4(sK0,ap(c_2Emin_2E_3D(sK0),X0),sK1))
      | ~ mem(X0,sK0) ),
    inference(subsumption_resolution,[],[f575,f96]) ).

fof(f575,plain,
    ! [X0] :
      ( sK1 = ap(c_2Emin_2E_3D(sK0),X0)
      | sK4(sK0,ap(c_2Emin_2E_3D(sK0),X0),sK1) = ap(i(sK0),sK4(sK0,ap(c_2Emin_2E_3D(sK0),X0),sK1))
      | ~ mem(X0,sK0)
      | ~ ne(sK0) ),
    inference(resolution,[],[f551,f169]) ).

fof(f551,plain,
    ! [X0] :
      ( ~ mem(X0,arr(sK0,bool))
      | sK1 = X0
      | sK4(sK0,X0,sK1) = ap(i(sK0),sK4(sK0,X0,sK1)) ),
    inference(resolution,[],[f525,f135]) ).

fof(f574,plain,
    ! [X0] :
      ( ~ mem(X0,arr(bool,bool))
      | c_2Ebool_2E_7E = X0
      | sK4(bool,X0,c_2Ebool_2E_7E) = ap(i(bool),sK4(bool,X0,c_2Ebool_2E_7E)) ),
    inference(resolution,[],[f523,f135]) ).

fof(f573,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(bool,bool))
      | c_2Ebool_2E_7E = X0
      | ap(k(bool,X1),sK4(bool,X0,c_2Ebool_2E_7E)) = X1 ),
    inference(resolution,[],[f523,f136]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(sK1,X1) = ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E))
      | ~ mem(X1,sK0)
      | p(ap(sK1,X1))
      | ~ p(sK4(bool,X0,c_2Ebool_2E_7E)) ),
    inference(resolution,[],[f523,f495]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E))))) = X1 ),
    inference(resolution,[],[f523,f333]) ).

fof(f570,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E)))) = X1 ),
    inference(resolution,[],[f523,f292]) ).

fof(f569,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E)))) = X1 ),
    inference(resolution,[],[f523,f283]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E)))) = X1 ),
    inference(resolution,[],[f523,f188]) ).

fof(f567,plain,
    ! [X0] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(c_2Ebool_2E_2F_5C,sK4(bool,X0,c_2Ebool_2E_7E)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK4(bool,X0,c_2Ebool_2E_7E))) ),
    inference(resolution,[],[f523,f186]) ).

fof(f566,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,sK4(bool,X0,c_2Ebool_2E_7E))) = X1 ),
    inference(resolution,[],[f523,f185]) ).

fof(f565,plain,
    ! [X0] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(c_2Emin_2E_3D_3D_3E,sK4(bool,X0,c_2Ebool_2E_7E)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,X0,c_2Ebool_2E_7E))) ),
    inference(resolution,[],[f523,f183]) ).

fof(f564,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,X0,c_2Ebool_2E_7E))) = X1 ),
    inference(resolution,[],[f523,f182]) ).

fof(f563,plain,
    ! [X0] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E))) ),
    inference(resolution,[],[f523,f180]) ).

fof(f562,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E))) = X1 ),
    inference(resolution,[],[f523,f179]) ).

fof(f561,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | p(ap(sK1,X1))
      | p(sK4(bool,X0,c_2Ebool_2E_7E))
      | ap(sK1,X1) = sK4(bool,X0,c_2Ebool_2E_7E)
      | ~ mem(X1,sK0) ),
    inference(resolution,[],[f523,f174]) ).

fof(f560,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | ~ p(sK4(bool,X0,c_2Ebool_2E_7E))
      | ~ p(X1)
      | sK4(bool,X0,c_2Ebool_2E_7E) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f523,f128]) ).

fof(f559,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool))
      | p(sK4(bool,X0,c_2Ebool_2E_7E))
      | p(X1)
      | sK4(bool,X0,c_2Ebool_2E_7E) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f523,f127]) ).

fof(f523,plain,
    ! [X0] :
      ( mem(sK4(bool,X0,c_2Ebool_2E_7E),bool)
      | c_2Ebool_2E_7E = X0
      | ~ mem(X0,arr(bool,bool)) ),
    inference(resolution,[],[f138,f101]) ).

fof(f556,plain,
    ! [X0,X1] :
      ( sK1 = sK2(arr(sK0,bool),X0)
      | ap(k(sK0,X1),sK4(sK0,sK2(arr(sK0,bool),X0),sK1)) = X1
      | p(ap(c_2Ebool_2E_21(arr(sK0,bool)),X0))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f550,f116]) ).

fof(f555,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X0)
      | ap(k(sK0,X1),sK4(sK0,ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X0),sK1)) = X1
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f550,f172]) ).

fof(f558,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Epred__set_2EREST(sK0),X0)
      | ap(k(sK0,X1),sK4(sK0,ap(c_2Epred__set_2EREST(sK0),X0),sK1)) = X1
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f553,f96]) ).

fof(f553,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Epred__set_2EREST(sK0),X0)
      | ap(k(sK0,X1),sK4(sK0,ap(c_2Epred__set_2EREST(sK0),X0),sK1)) = X1
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f550,f171]) ).

fof(f557,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Emin_2E_3D(sK0),X0)
      | ap(k(sK0,X1),sK4(sK0,ap(c_2Emin_2E_3D(sK0),X0),sK1)) = X1
      | ~ mem(X0,sK0) ),
    inference(subsumption_resolution,[],[f552,f96]) ).

fof(f552,plain,
    ! [X0,X1] :
      ( sK1 = ap(c_2Emin_2E_3D(sK0),X0)
      | ap(k(sK0,X1),sK4(sK0,ap(c_2Emin_2E_3D(sK0),X0),sK1)) = X1
      | ~ mem(X0,sK0)
      | ~ ne(sK0) ),
    inference(resolution,[],[f550,f169]) ).

fof(f550,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | sK1 = X0
      | ap(k(sK0,X1),sK4(sK0,X0,sK1)) = X1 ),
    inference(resolution,[],[f525,f136]) ).

fof(f513,plain,
    ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)))) = X0,
    inference(resolution,[],[f290,f97]) ).

fof(f549,plain,
    ! [X0,X1] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,sK1)))))) = X1 ),
    inference(resolution,[],[f525,f462]) ).

fof(f548,plain,
    ! [X0,X1] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,sK1))))) = X1 ),
    inference(resolution,[],[f525,f448]) ).

fof(f547,plain,
    ! [X0,X1] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,sK1))))) = X1 ),
    inference(resolution,[],[f525,f432]) ).

fof(f546,plain,
    ! [X0] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(c_2Ebool_2E_2F_5C,ap(sK1,sK4(sK0,X0,sK1))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK4(sK0,X0,sK1)))) ),
    inference(resolution,[],[f525,f373]) ).

fof(f545,plain,
    ! [X0] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK4(sK0,X0,sK1))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK4(sK0,X0,sK1)))) ),
    inference(resolution,[],[f525,f360]) ).

fof(f544,plain,
    ! [X0,X1] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK4(sK0,X0,sK1)))))) = X1 ),
    inference(resolution,[],[f525,f349]) ).

fof(f543,plain,
    ! [X0,X1] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,sK1))))) = X1 ),
    inference(resolution,[],[f525,f332]) ).

fof(f542,plain,
    ! [X0,X1] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK4(sK0,X0,sK1)))) = X1 ),
    inference(resolution,[],[f525,f291]) ).

fof(f541,plain,
    ! [X0,X1] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK4(sK0,X0,sK1)))) = X1 ),
    inference(resolution,[],[f525,f282]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK4(sK0,X0,sK1))))) = X1 ),
    inference(resolution,[],[f525,f242]) ).

fof(f539,plain,
    ! [X0] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,sK1))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,sK1)))) ),
    inference(resolution,[],[f525,f215]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,sK4(sK0,X0,sK1)))) = X1 ),
    inference(resolution,[],[f525,f187]) ).

fof(f537,plain,
    ! [X0] :
      ( sK1 = X0
      | ~ mem(X0,arr(sK0,bool))
      | ap(sK1,sK4(sK0,X0,sK1)) = ap(i(bool),ap(sK1,sK4(sK0,X0,sK1))) ),
    inference(resolution,[],[f525,f176]) ).

fof(f525,plain,
    ! [X0] :
      ( mem(sK4(sK0,X0,sK1),sK0)
      | sK1 = X0
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(resolution,[],[f138,f97]) ).

fof(f535,plain,
    ! [X2,X3,X0,X1] :
      ( mem(sK4(X0,X1,sK2(arr(X0,X2),X3)),X0)
      | sK2(arr(X0,X2),X3) = X1
      | ~ mem(X1,arr(X0,X2))
      | p(ap(c_2Ebool_2E_21(arr(X0,X2)),X3))
      | ~ mem(X3,arr(arr(X0,X2),bool))
      | ~ ne(arr(X0,X2)) ),
    inference(resolution,[],[f138,f116]) ).

fof(f534,plain,
    ! [X2,X3,X0,X1] :
      ( mem(sK4(X0,X1,ap(c_2Epred__set_2ECHOICE(arr(X0,X2)),X3)),X0)
      | ap(c_2Epred__set_2ECHOICE(arr(X0,X2)),X3) = X1
      | ~ mem(X1,arr(X0,X2))
      | ~ mem(X3,arr(arr(X0,X2),bool))
      | ~ ne(arr(X0,X2)) ),
    inference(resolution,[],[f138,f172]) ).

fof(f532,plain,
    ! [X0,X1] :
      ( mem(sK4(arr(X0,bool),X1,c_2Epred__set_2EDELETE(X0)),arr(X0,bool))
      | c_2Epred__set_2EDELETE(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),arr(X0,arr(X0,bool))))
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f110]) ).

fof(f531,plain,
    ! [X0,X1] :
      ( mem(sK4(arr(X0,bool),X1,c_2Epred__set_2ESUBSET(X0)),arr(X0,bool))
      | c_2Epred__set_2ESUBSET(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),arr(arr(X0,bool),bool)))
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f109]) ).

fof(f530,plain,
    ! [X0,X1] :
      ( mem(sK4(arr(X0,bool),X1,c_2Epred__set_2EREST(X0)),arr(X0,bool))
      | c_2Epred__set_2EREST(X0) = X1
      | ~ mem(X1,arr(arr(X0,bool),arr(X0,bool)))
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f107]) ).

fof(f522,plain,
    ! [X2,X0,X1] :
      ( mem(sK4(arr(X0,bool),X1,ap(c_2Ebool_2EIN(X0),X2)),arr(X0,bool))
      | ap(c_2Ebool_2EIN(X0),X2) = X1
      | ~ mem(X1,arr(arr(X0,bool),bool))
      | ~ mem(X2,X0)
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f170]) ).

fof(f521,plain,
    ! [X2,X0,X1] :
      ( mem(sK4(X0,X1,ap(c_2Epred__set_2EREST(X0),X2)),X0)
      | ap(c_2Epred__set_2EREST(X0),X2) = X1
      | ~ mem(X1,arr(X0,bool))
      | ~ mem(X2,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f171]) ).

fof(f520,plain,
    ! [X2,X0,X1] :
      ( mem(sK4(X0,X1,ap(c_2Emin_2E_3D(X0),X2)),X0)
      | ap(c_2Emin_2E_3D(X0),X2) = X1
      | ~ mem(X1,arr(X0,bool))
      | ~ mem(X2,X0)
      | ~ ne(X0) ),
    inference(resolution,[],[f138,f169]) ).

fof(f519,plain,
    ! [X0,X1] :
      ( mem(sK4(bool,X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
      | ap(c_2Ebool_2E_2F_5C,X1) = X0
      | ~ mem(X0,arr(bool,bool))
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f138,f168]) ).

fof(f518,plain,
    ! [X0,X1] :
      ( mem(sK4(bool,X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
      | ap(c_2Emin_2E_3D_3D_3E,X1) = X0
      | ~ mem(X0,arr(bool,bool))
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f138,f167]) ).

fof(f138,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X3,arr(X0,X1))
      | mem(sK4(X0,X2,X3),X0)
      | X2 = X3
      | ~ mem(X2,arr(X0,X1)) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f515,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK2(arr(sK0,bool),X1))))) = X0
      | p(ap(c_2Ebool_2E_21(arr(sK0,bool)),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f290,f116]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X1))))) = X0
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f290,f172]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f512,f96]) ).

fof(f512,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f290,f171]) ).

fof(f516,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X1))))) = X0
      | ~ mem(X1,sK0) ),
    inference(subsumption_resolution,[],[f511,f96]) ).

fof(f511,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X1))))) = X0
      | ~ mem(X1,sK0)
      | ~ ne(sK0) ),
    inference(resolution,[],[f290,f169]) ).

fof(f290,plain,
    ! [X0,X1] :
      ( ~ mem(X1,arr(sK0,bool))
      | ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)))) = X0 ),
    inference(subsumption_resolution,[],[f289,f96]) ).

fof(f289,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f282,f172]) ).

fof(f508,plain,
    ! [X0,X1] :
      ( ~ mem(sK2(X0,c_2Ebool_2E_21(sK0)),arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,sK2(sK0,sK2(X0,c_2Ebool_2E_21(sK0))))) = X1
      | p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_21(sK0)))
      | ~ mem(c_2Ebool_2E_21(sK0),arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f327,f117]) ).

fof(f510,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,sK2(sK0,X0))) = X1
      | ~ mem(X2,sK0)
      | p(ap(X0,X2)) ),
    inference(subsumption_resolution,[],[f509,f96]) ).

fof(f509,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,sK2(sK0,X0))) = X1
      | ~ mem(X2,sK0)
      | p(ap(X0,X2))
      | ~ ne(sK0) ),
    inference(duplicate_literal_removal,[],[f507]) ).

fof(f507,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,sK2(sK0,X0))) = X1
      | ~ mem(X2,sK0)
      | p(ap(X0,X2))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f327,f115]) ).

fof(f327,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,sK2(sK0,X0))) = X1 ),
    inference(subsumption_resolution,[],[f314,f96]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,sK2(sK0,X0))) = X1 ),
    inference(resolution,[],[f116,f175]) ).

fof(f506,plain,
    ! [X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK2(bool,X1))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(sK2(bool,X1))
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f504,f100]) ).

fof(f504,plain,
    ! [X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK2(bool,X1))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(sK2(bool,X1))
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f495,f116]) ).

fof(f505,plain,
    ! [X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(ap(c_2Epred__set_2ECHOICE(bool),X1))
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f503,f100]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(ap(c_2Epred__set_2ECHOICE(bool),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f495,f172]) ).

fof(f502,plain,
    ! [X2,X3,X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X1),X2),X3))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(ap(ap(c_2Emin_2E_3D(X1),X2),X3))
      | ~ ne(X1)
      | ~ mem(X3,X1)
      | ~ mem(X2,X1) ),
    inference(resolution,[],[f495,f197]) ).

fof(f501,plain,
    ! [X2,X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X1),X2))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2))
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f495,f184]) ).

fof(f500,plain,
    ! [X2,X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2))
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f495,f181]) ).

fof(f499,plain,
    ! [X2,X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X1),X2))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(ap(c_2Ebool_2E_21(X1),X2))
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f495,f166]) ).

fof(f498,plain,
    ! [X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(ap(c_2Ebool_2E_7E,X1))
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f495,f165]) ).

fof(f497,plain,
    ! [X0,X1] :
      ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(sK1,X1))
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(ap(sK1,X1))
      | ~ mem(X1,sK0) ),
    inference(resolution,[],[f495,f164]) ).

fof(f495,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | ap(sK1,X0) = ap(c_2Ebool_2E_7E,X1)
      | ~ mem(X0,sK0)
      | p(ap(sK1,X0))
      | ~ p(X1) ),
    inference(duplicate_literal_removal,[],[f493]) ).

fof(f493,plain,
    ! [X0,X1] :
      ( p(ap(sK1,X0))
      | ap(sK1,X0) = ap(c_2Ebool_2E_7E,X1)
      | ~ mem(X0,sK0)
      | ~ mem(X1,bool)
      | ~ p(X1)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f233,f125]) ).

fof(f494,plain,
    ! [X0,X1] :
      ( p(ap(sK1,X0))
      | ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK2(X1,c_2Ebool_2E_7E))
      | ~ mem(X0,sK0)
      | ~ mem(sK2(X1,c_2Ebool_2E_7E),bool)
      | p(ap(c_2Ebool_2E_21(X1),c_2Ebool_2E_7E))
      | ~ mem(c_2Ebool_2E_7E,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f233,f117]) ).

fof(f492,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_7E,X0))
      | ap(c_2Ebool_2E_7E,X0) = ap(sK1,sK2(X1,sK1))
      | ~ mem(sK2(X1,sK1),sK0)
      | ~ mem(X0,bool)
      | p(ap(c_2Ebool_2E_21(X1),sK1))
      | ~ mem(sK1,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f233,f117]) ).

fof(f496,plain,
    ! [X2,X0,X1] :
      ( p(ap(c_2Ebool_2E_7E,X0))
      | ap(c_2Ebool_2E_7E,X0) = ap(sK1,X1)
      | ~ mem(X1,sK0)
      | ~ mem(X0,bool)
      | ~ p(X2)
      | ap(sK1,X1) = X2
      | ~ mem(X2,bool) ),
    inference(duplicate_literal_removal,[],[f491]) ).

fof(f491,plain,
    ! [X2,X0,X1] :
      ( p(ap(c_2Ebool_2E_7E,X0))
      | ap(c_2Ebool_2E_7E,X0) = ap(sK1,X1)
      | ~ mem(X1,sK0)
      | ~ mem(X0,bool)
      | ~ mem(X1,sK0)
      | ~ p(X2)
      | ap(sK1,X1) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f233,f173]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( p(ap(sK1,X0))
      | p(ap(c_2Ebool_2E_7E,X1))
      | ap(sK1,X0) = ap(c_2Ebool_2E_7E,X1)
      | ~ mem(X0,sK0)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f174,f165]) ).

fof(f486,plain,
    ! [X0,X1] :
      ( p(ap(sK1,X0))
      | ap(sK1,X0) = ap(sK1,sK2(X1,sK1))
      | ~ mem(sK2(X1,sK1),sK0)
      | ~ mem(X0,sK0)
      | p(ap(c_2Ebool_2E_21(X1),sK1))
      | ~ mem(sK1,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f232,f117]) ).

fof(f489,plain,
    ! [X2,X0,X1] :
      ( p(ap(sK1,X0))
      | ap(sK1,X0) = ap(sK1,X1)
      | ~ mem(X1,sK0)
      | ~ mem(X0,sK0)
      | ~ p(X2)
      | ap(sK1,X1) = X2
      | ~ mem(X2,bool) ),
    inference(duplicate_literal_removal,[],[f485]) ).

fof(f485,plain,
    ! [X2,X0,X1] :
      ( p(ap(sK1,X0))
      | ap(sK1,X0) = ap(sK1,X1)
      | ~ mem(X1,sK0)
      | ~ mem(X0,sK0)
      | ~ mem(X1,sK0)
      | ~ p(X2)
      | ap(sK1,X1) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f232,f173]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( p(ap(sK1,X0))
      | ap(sK1,X0) = ap(sK1,sK2(X1,sK1))
      | ~ mem(X0,sK0)
      | ~ mem(sK2(X1,sK1),sK0)
      | p(ap(c_2Ebool_2E_21(X1),sK1))
      | ~ mem(sK1,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f232,f117]) ).

fof(f490,plain,
    ! [X2,X0,X1] :
      ( p(ap(sK1,X0))
      | ap(sK1,X0) = ap(sK1,X1)
      | ~ mem(X0,sK0)
      | ~ mem(X1,sK0)
      | ~ p(X2)
      | ap(sK1,X1) = X2
      | ~ mem(X2,bool) ),
    inference(duplicate_literal_removal,[],[f483]) ).

fof(f483,plain,
    ! [X2,X0,X1] :
      ( p(ap(sK1,X0))
      | ap(sK1,X0) = ap(sK1,X1)
      | ~ mem(X0,sK0)
      | ~ mem(X1,sK0)
      | ~ mem(X1,sK0)
      | ~ p(X2)
      | ap(sK1,X1) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f232,f173]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( p(ap(sK1,X1))
      | p(ap(sK1,X0))
      | ap(sK1,X0) = ap(sK1,X1)
      | ~ mem(X0,sK0)
      | ~ mem(X1,sK0) ),
    inference(resolution,[],[f174,f164]) ).

fof(f478,plain,
    ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))),
    inference(resolution,[],[f213,f97]) ).

fof(f480,plain,
    ! [X0] :
      ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK2(arr(sK0,bool),X0))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK2(arr(sK0,bool),X0))))
      | p(ap(c_2Ebool_2E_21(arr(sK0,bool)),X0))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f213,f116]) ).

fof(f479,plain,
    ! [X0] :
      ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X0))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X0))))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f213,f172]) ).

fof(f482,plain,
    ! [X0] :
      ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X0))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X0))))
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f477,f96]) ).

fof(f477,plain,
    ! [X0] :
      ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X0))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X0))))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f213,f171]) ).

fof(f481,plain,
    ! [X0] :
      ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X0))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X0))))
      | ~ mem(X0,sK0) ),
    inference(subsumption_resolution,[],[f476,f96]) ).

fof(f476,plain,
    ! [X0] :
      ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X0))) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X0))))
      | ~ mem(X0,sK0)
      | ~ ne(sK0) ),
    inference(resolution,[],[f213,f169]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ mem(X0,arr(sK0,bool))
      | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0)) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) ),
    inference(subsumption_resolution,[],[f207,f96]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0)) = ap(i(bool),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) ),
    inference(resolution,[],[f172,f176]) ).

fof(f475,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X1)))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f473,f96]) ).

fof(f473,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X1)))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f462,f116]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)))))) = X0
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f472,f96]) ).

fof(f472,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)))))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f462,f172]) ).

fof(f462,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,X1))))) = X0 ),
    inference(resolution,[],[f333,f164]) ).

fof(f471,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,X1))))) = X0
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f469,f100]) ).

fof(f469,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,X1))))) = X0
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f333,f116]) ).

fof(f470,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1))))) = X0
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f468,f100]) ).

fof(f468,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1))))) = X0
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f333,f172]) ).

fof(f467,plain,
    ! [X2,X3,X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X1),X2),X3))))) = X0
      | ~ ne(X1)
      | ~ mem(X3,X1)
      | ~ mem(X2,X1) ),
    inference(resolution,[],[f333,f197]) ).

fof(f466,plain,
    ! [X2,X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X1),X2))))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f333,f184]) ).

fof(f465,plain,
    ! [X2,X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2))))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f333,f181]) ).

fof(f464,plain,
    ! [X2,X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X1),X2))))) = X0
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f333,f166]) ).

fof(f463,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1))))) = X0
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f333,f165]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1)))) = X0 ),
    inference(resolution,[],[f188,f165]) ).

fof(f461,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X1))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f459,f96]) ).

fof(f459,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X1))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f448,f116]) ).

fof(f460,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f458,f96]) ).

fof(f458,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f448,f172]) ).

fof(f448,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,X1)))) = X0 ),
    inference(resolution,[],[f292,f164]) ).

fof(f457,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK2(bool,X1)))) = X0
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f455,f100]) ).

fof(f455,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK2(bool,X1)))) = X0
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f292,f116]) ).

fof(f456,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1)))) = X0
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f454,f100]) ).

fof(f454,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1)))) = X0
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f292,f172]) ).

fof(f453,plain,
    ! [X2,X3,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X1),X2),X3)))) = X0
      | ~ ne(X1)
      | ~ mem(X3,X1)
      | ~ mem(X2,X1) ),
    inference(resolution,[],[f292,f197]) ).

fof(f452,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X1),X2)))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f292,f184]) ).

fof(f451,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2)))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f292,f181]) ).

fof(f450,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X1),X2)))) = X0
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f292,f166]) ).

fof(f449,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1)))) = X0
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f292,f165]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,X1))) = X0 ),
    inference(resolution,[],[f185,f165]) ).

fof(f445,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X1))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f443,f96]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X1))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f432,f116]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f442,f96]) ).

fof(f442,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f432,f172]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,X1)))) = X0 ),
    inference(resolution,[],[f283,f164]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK2(bool,X1)))) = X0
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f439,f100]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK2(bool,X1)))) = X0
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f283,f116]) ).

fof(f440,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1)))) = X0
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f438,f100]) ).

fof(f438,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1)))) = X0
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f283,f172]) ).

fof(f437,plain,
    ! [X2,X3,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X1),X2),X3)))) = X0
      | ~ ne(X1)
      | ~ mem(X3,X1)
      | ~ mem(X2,X1) ),
    inference(resolution,[],[f283,f197]) ).

fof(f436,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X1),X2)))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f283,f184]) ).

fof(f435,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2)))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f283,f181]) ).

fof(f434,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X1),X2)))) = X0
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f283,f166]) ).

fof(f433,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1)))) = X0
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f283,f165]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,X1))) = X0 ),
    inference(resolution,[],[f182,f165]) ).

fof(f431,plain,
    ! [X2,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(ap(c_2Emin_2E_3D(X0),X2),X1) = ap(i(bool),ap(ap(c_2Emin_2E_3D(X0),X2),X1)) ),
    inference(resolution,[],[f197,f135]) ).

fof(f430,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(k(bool,X3),ap(ap(c_2Emin_2E_3D(X0),X2),X1)) = X3 ),
    inference(resolution,[],[f197,f136]) ).

fof(f429,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(k(bool,X3),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X0),X2),X1)))) = X3 ),
    inference(resolution,[],[f197,f188]) ).

fof(f428,plain,
    ! [X2,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Emin_2E_3D(X0),X2),X1)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Emin_2E_3D(X0),X2),X1))) ),
    inference(resolution,[],[f197,f186]) ).

fof(f427,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(k(arr(bool,bool),X3),ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Emin_2E_3D(X0),X2),X1))) = X3 ),
    inference(resolution,[],[f197,f185]) ).

fof(f426,plain,
    ! [X2,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(X0),X2),X1)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(X0),X2),X1))) ),
    inference(resolution,[],[f197,f183]) ).

fof(f425,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(k(arr(bool,bool),X3),ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(X0),X2),X1))) = X3 ),
    inference(resolution,[],[f197,f182]) ).

fof(f424,plain,
    ! [X2,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X0),X2),X1)) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X0),X2),X1))) ),
    inference(resolution,[],[f197,f180]) ).

fof(f423,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(k(bool,X3),ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X0),X2),X1))) = X3 ),
    inference(resolution,[],[f197,f179]) ).

fof(f422,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | p(ap(sK1,X3))
      | p(ap(ap(c_2Emin_2E_3D(X0),X2),X1))
      | ap(ap(c_2Emin_2E_3D(X0),X2),X1) = ap(sK1,X3)
      | ~ mem(X3,sK0) ),
    inference(resolution,[],[f197,f174]) ).

fof(f421,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ~ p(ap(ap(c_2Emin_2E_3D(X0),X2),X1))
      | ~ p(X3)
      | ap(ap(c_2Emin_2E_3D(X0),X2),X1) = X3
      | ~ mem(X3,bool) ),
    inference(resolution,[],[f197,f128]) ).

fof(f420,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | p(ap(ap(c_2Emin_2E_3D(X0),X2),X1))
      | p(X3)
      | ap(ap(c_2Emin_2E_3D(X0),X2),X1) = X3
      | ~ mem(X3,bool) ),
    inference(resolution,[],[f197,f127]) ).

fof(f197,plain,
    ! [X2,X0,X1] :
      ( mem(ap(ap(c_2Emin_2E_3D(X1),X0),X2),bool)
      | ~ ne(X1)
      | ~ mem(X2,X1)
      | ~ mem(X0,X1) ),
    inference(resolution,[],[f169,f137]) ).

fof(f417,plain,
    c_2Ebool_2EIN(ind) = ap(i(arr(ind,arr(arr(ind,bool),bool))),c_2Ebool_2EIN(ind)),
    inference(resolution,[],[f163,f99]) ).

fof(f416,plain,
    c_2Ebool_2EIN(bool) = ap(i(arr(bool,arr(arr(bool,bool),bool))),c_2Ebool_2EIN(bool)),
    inference(resolution,[],[f163,f100]) ).

fof(f419,plain,
    c_2Ebool_2EIN(sK0) = ap(i(arr(sK0,arr(arr(sK0,bool),bool))),c_2Ebool_2EIN(sK0)),
    inference(resolution,[],[f163,f96]) ).

fof(f418,plain,
    ! [X0,X1] :
      ( c_2Ebool_2EIN(arr(X0,X1)) = ap(i(arr(arr(X0,X1),arr(arr(arr(X0,X1),bool),bool))),c_2Ebool_2EIN(arr(X0,X1)))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f163,f111]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ ne(X0)
      | c_2Ebool_2EIN(X0) = ap(i(arr(X0,arr(arr(X0,bool),bool))),c_2Ebool_2EIN(X0)) ),
    inference(resolution,[],[f108,f135]) ).

fof(f413,plain,
    ! [X0] : ap(k(arr(ind,arr(arr(ind,bool),bool)),X0),c_2Ebool_2EIN(ind)) = X0,
    inference(resolution,[],[f162,f99]) ).

fof(f412,plain,
    ! [X0] : ap(k(arr(bool,arr(arr(bool,bool),bool)),X0),c_2Ebool_2EIN(bool)) = X0,
    inference(resolution,[],[f162,f100]) ).

fof(f415,plain,
    ! [X0] : ap(k(arr(sK0,arr(arr(sK0,bool),bool)),X0),c_2Ebool_2EIN(sK0)) = X0,
    inference(resolution,[],[f162,f96]) ).

fof(f414,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(arr(X0,X1),arr(arr(arr(X0,X1),bool),bool)),X2),c_2Ebool_2EIN(arr(X0,X1))) = X2
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f162,f111]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ap(k(arr(X0,arr(arr(X0,bool),bool)),X1),c_2Ebool_2EIN(X0)) = X1 ),
    inference(resolution,[],[f108,f136]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( mem(sK2(X1,sK2(X0,c_2Ebool_2E_21(X1))),X1)
      | ~ mem(c_2Ebool_2E_21(X1),arr(X0,bool))
      | ~ ne(X0)
      | p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_21(X1)))
      | ~ mem(sK2(X0,c_2Ebool_2E_21(X1)),arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f117,f116]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_2F_5C,X1)))
      | ~ mem(ap(c_2Ebool_2E_2F_5C,X1),arr(X0,bool))
      | ~ ne(X0)
      | ~ p(sK2(X0,ap(c_2Ebool_2E_2F_5C,X1)))
      | ~ p(X1)
      | ~ mem(sK2(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f117,f131]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
      | ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
      | ~ ne(X0)
      | p(X1)
      | ~ mem(sK2(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f117,f133]) ).

fof(f408,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
      | ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
      | ~ ne(X0)
      | ~ p(sK2(X0,ap(c_2Emin_2E_3D_3D_3E,X1)))
      | ~ mem(sK2(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f117,f134]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ p(ap(X1,sK2(X0,X1)))
      | p(ap(c_2Ebool_2E_21(X0),X1))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f404,plain,
    c_2Epred__set_2EREST(ind) = ap(i(arr(arr(ind,bool),arr(ind,bool))),c_2Epred__set_2EREST(ind)),
    inference(resolution,[],[f161,f99]) ).

fof(f403,plain,
    c_2Epred__set_2EREST(bool) = ap(i(arr(arr(bool,bool),arr(bool,bool))),c_2Epred__set_2EREST(bool)),
    inference(resolution,[],[f161,f100]) ).

fof(f406,plain,
    c_2Epred__set_2EREST(sK0) = ap(i(arr(arr(sK0,bool),arr(sK0,bool))),c_2Epred__set_2EREST(sK0)),
    inference(resolution,[],[f161,f96]) ).

fof(f405,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2EREST(arr(X0,X1)) = ap(i(arr(arr(arr(X0,X1),bool),arr(arr(X0,X1),bool))),c_2Epred__set_2EREST(arr(X0,X1)))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f161,f111]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ ne(X0)
      | c_2Epred__set_2EREST(X0) = ap(i(arr(arr(X0,bool),arr(X0,bool))),c_2Epred__set_2EREST(X0)) ),
    inference(resolution,[],[f107,f135]) ).

fof(f400,plain,
    ! [X0] : ap(k(arr(arr(ind,bool),arr(ind,bool)),X0),c_2Epred__set_2EREST(ind)) = X0,
    inference(resolution,[],[f160,f99]) ).

fof(f399,plain,
    ! [X0] : ap(k(arr(arr(bool,bool),arr(bool,bool)),X0),c_2Epred__set_2EREST(bool)) = X0,
    inference(resolution,[],[f160,f100]) ).

fof(f402,plain,
    ! [X0] : ap(k(arr(arr(sK0,bool),arr(sK0,bool)),X0),c_2Epred__set_2EREST(sK0)) = X0,
    inference(resolution,[],[f160,f96]) ).

fof(f401,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(arr(arr(X0,X1),bool),arr(arr(X0,X1),bool)),X2),c_2Epred__set_2EREST(arr(X0,X1))) = X2
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f160,f111]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ap(k(arr(arr(X0,bool),arr(X0,bool)),X1),c_2Epred__set_2EREST(X0)) = X1 ),
    inference(resolution,[],[f107,f136]) ).

fof(f398,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK2(sK0,X1)))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f396,f96]) ).

fof(f396,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK2(sK0,X1)))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f349,f116]) ).

fof(f397,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),ap(c_2Epred__set_2ECHOICE(sK0),X1)))))) = X0
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f395,f96]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),ap(c_2Epred__set_2ECHOICE(sK0),X1)))))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f349,f172]) ).

fof(f349,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X1))))) = X0 ),
    inference(subsumption_resolution,[],[f345,f96]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X1))))) = X0
      | ~ mem(X1,sK0)
      | ~ ne(sK0) ),
    inference(resolution,[],[f212,f169]) ).

fof(f390,plain,
    ! [X0] : ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)))) = X0,
    inference(resolution,[],[f359,f97]) ).

fof(f392,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),sK2(arr(sK0,bool),X1))))) = X0
      | p(ap(c_2Ebool_2E_21(arr(sK0,bool)),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f359,f116]) ).

fof(f391,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X1))))) = X0
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f359,f172]) ).

fof(f394,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),ap(c_2Epred__set_2EREST(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f389,f96]) ).

fof(f389,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),ap(c_2Epred__set_2EREST(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f359,f171]) ).

fof(f393,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),ap(c_2Emin_2E_3D(sK0),X1))))) = X0 ),
    inference(subsumption_resolution,[],[f388,f96]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),ap(c_2Emin_2E_3D(sK0),X1))))) = X0
      | ~ mem(X1,sK0)
      | ~ ne(sK0) ),
    inference(resolution,[],[f359,f169]) ).

fof(f359,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X0)))) = X1 ),
    inference(subsumption_resolution,[],[f355,f96]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X0)))) = X1 ),
    inference(resolution,[],[f171,f214]) ).

fof(f112,plain,
    ! [X2,X0,X1] :
      ( ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
      | X1 = X2
      | ~ mem(X2,X0)
      | ~ mem(X1,X0)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
                  | X1 != X2 )
                & ( X1 = X2
                  | ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2)) ) )
              | ~ mem(X2,X0) )
          | ~ mem(X1,X0) )
      | ~ ne(X0) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
              <=> X1 = X2 )
              | ~ mem(X2,X0) )
          | ~ mem(X1,X0) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( mem(X1,X0)
         => ! [X2] :
              ( mem(X2,X0)
             => ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
              <=> X1 = X2 ) ) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X3] :
          ( mem(X3,X0)
         => ! [X7] :
              ( mem(X7,X0)
             => ( p(ap(ap(c_2Emin_2E_3D(X0),X3),X7))
              <=> X3 = X7 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_eq_p) ).

fof(f385,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_2F_5C,ap(sK1,sK2(sK0,X0))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK2(sK0,X0))))
      | p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f383,f96]) ).

fof(f383,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_2F_5C,ap(sK1,sK2(sK0,X0))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK2(sK0,X0))))
      | p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f373,f116]) ).

fof(f384,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_2F_5C,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))))
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f382,f96]) ).

fof(f382,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_2F_5C,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f373,f172]) ).

fof(f373,plain,
    ! [X0] :
      ( ~ mem(X0,sK0)
      | ap(c_2Ebool_2E_2F_5C,ap(sK1,X0)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,X0))) ),
    inference(resolution,[],[f186,f164]) ).

fof(f381,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_2F_5C,sK2(bool,X0)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK2(bool,X0)))
      | p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f379,f100]) ).

fof(f379,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_2F_5C,sK2(bool,X0)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK2(bool,X0)))
      | p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f186,f116]) ).

fof(f380,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_2F_5C,ap(c_2Epred__set_2ECHOICE(bool),X0)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(c_2Epred__set_2ECHOICE(bool),X0)))
      | ~ mem(X0,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f378,f100]) ).

fof(f378,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_2F_5C,ap(c_2Epred__set_2ECHOICE(bool),X0)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(c_2Epred__set_2ECHOICE(bool),X0)))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f186,f172]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Ebool_2E_2F_5C,X0),X1)))
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f186,f184]) ).

fof(f376,plain,
    ! [X0,X1] :
      ( ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)))
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f186,f181]) ).

fof(f375,plain,
    ! [X0,X1] :
      ( ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_21(X0),X1)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_21(X0),X1)))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f186,f166]) ).

fof(f374,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,X0)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,X0)))
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f186,f165]) ).

fof(f186,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ap(c_2Ebool_2E_2F_5C,X0) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,X0)) ),
    inference(resolution,[],[f168,f135]) ).

fof(f372,plain,
    ! [X0] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK2(sK0,X0))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK2(sK0,X0))))
      | p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f370,f96]) ).

fof(f370,plain,
    ! [X0] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK2(sK0,X0))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK2(sK0,X0))))
      | p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f360,f116]) ).

fof(f371,plain,
    ! [X0] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))))
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f369,f96]) ).

fof(f369,plain,
    ! [X0] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f360,f172]) ).

fof(f360,plain,
    ! [X0] :
      ( ~ mem(X0,sK0)
      | ap(c_2Emin_2E_3D_3D_3E,ap(sK1,X0)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,X0))) ),
    inference(resolution,[],[f183,f164]) ).

fof(f368,plain,
    ! [X0] :
      ( ap(c_2Emin_2E_3D_3D_3E,sK2(bool,X0)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK2(bool,X0)))
      | p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f366,f100]) ).

fof(f366,plain,
    ! [X0] :
      ( ap(c_2Emin_2E_3D_3D_3E,sK2(bool,X0)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK2(bool,X0)))
      | p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f183,f116]) ).

fof(f367,plain,
    ! [X0] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(c_2Epred__set_2ECHOICE(bool),X0)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Epred__set_2ECHOICE(bool),X0)))
      | ~ mem(X0,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f365,f100]) ).

fof(f365,plain,
    ! [X0] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(c_2Epred__set_2ECHOICE(bool),X0)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Epred__set_2ECHOICE(bool),X0)))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f183,f172]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2E_2F_5C,X0),X1)))
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f183,f184]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)))
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f183,f181]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_21(X0),X1)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_21(X0),X1)))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f183,f166]) ).

fof(f361,plain,
    ! [X0] :
      ( ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,X0)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,X0)))
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f183,f165]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ap(c_2Emin_2E_3D_3D_3E,X0) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,X0)) ),
    inference(resolution,[],[f167,f135]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(c_2Epred__set_2EREST(X1),X0) = ap(i(arr(X1,bool)),ap(c_2Epred__set_2EREST(X1),X0)) ),
    inference(resolution,[],[f171,f135]) ).

fof(f356,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(k(arr(X1,bool),X2),ap(c_2Epred__set_2EREST(X1),X0)) = X2 ),
    inference(resolution,[],[f171,f136]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X0))))) = X1 ),
    inference(subsumption_resolution,[],[f354,f96]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2EREST(sK0),X0))))) = X1 ),
    inference(resolution,[],[f171,f212]) ).

fof(f353,plain,
    ! [X2,X0,X1] :
      ( mem(ap(ap(c_2Epred__set_2EREST(X1),X0),X2),bool)
      | ~ ne(X1)
      | ~ mem(X2,X1)
      | ~ mem(X0,arr(X1,bool)) ),
    inference(resolution,[],[f171,f137]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( mem(ap(c_2Epred__set_2EREST(X1),X0),arr(X1,bool))
      | ~ mem(X0,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f137,f107]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( ~ mem(X0,X1)
      | ~ ne(X1)
      | ap(c_2Ebool_2EIN(X1),X0) = ap(i(arr(arr(X1,bool),bool)),ap(c_2Ebool_2EIN(X1),X0)) ),
    inference(resolution,[],[f170,f135]) ).

fof(f351,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,X1)
      | ~ ne(X1)
      | ap(k(arr(arr(X1,bool),bool),X2),ap(c_2Ebool_2EIN(X1),X0)) = X2 ),
    inference(resolution,[],[f170,f136]) ).

fof(f350,plain,
    ! [X2,X0,X1] :
      ( mem(ap(ap(c_2Ebool_2EIN(X1),X0),X2),bool)
      | ~ ne(X1)
      | ~ mem(X2,arr(X1,bool))
      | ~ mem(X0,X1) ),
    inference(resolution,[],[f170,f137]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( mem(ap(c_2Ebool_2EIN(X1),X0),arr(arr(X1,bool),bool))
      | ~ mem(X0,X1)
      | ~ ne(X1) ),
    inference(resolution,[],[f137,f108]) ).

fof(f346,plain,
    ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)))) = X0,
    inference(resolution,[],[f212,f97]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK2(arr(sK0,bool),X1))))) = X0
      | p(ap(c_2Ebool_2E_21(arr(sK0,bool)),X1))
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f212,f116]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X1))))) = X0
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f212,f172]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0)))) = X1 ),
    inference(subsumption_resolution,[],[f206,f96]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0)))) = X1 ),
    inference(resolution,[],[f172,f187]) ).

fof(f344,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X1))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f342,f96]) ).

fof(f342,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X1))))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f332,f116]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( ~ mem(X1,arr(sK0,bool))
      | ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1))))) = X0 ),
    inference(subsumption_resolution,[],[f341,f96]) ).

fof(f341,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f332,f172]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,X1)))) = X0 ),
    inference(resolution,[],[f188,f164]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,X1)))) = X0
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f338,f100]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,X1)))) = X0
      | p(ap(c_2Ebool_2E_21(bool),X1))
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f188,f116]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1)))) = X0
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f337,f100]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X1)))) = X0
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f188,f172]) ).

fof(f336,plain,
    ! [X2,X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X1),X2)))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f188,f184]) ).

fof(f335,plain,
    ! [X2,X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2)))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f188,f181]) ).

fof(f334,plain,
    ! [X2,X0,X1] :
      ( ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X1),X2)))) = X0
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f188,f166]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1))) = X0 ),
    inference(resolution,[],[f179,f165]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK2(sK0,X1)))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f329,f96]) ).

fof(f329,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(sK1,sK2(sK0,X1)))) = X0
      | p(ap(c_2Ebool_2E_21(sK0),X1))
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f291,f116]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( ~ mem(X1,arr(sK0,bool))
      | ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)))) = X0 ),
    inference(subsumption_resolution,[],[f328,f96]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f291,f172]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(sK1,X1))) = X0 ),
    inference(resolution,[],[f185,f164]) ).

fof(f326,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ap(sK1,sK2(sK0,X0)) = ap(i(bool),ap(sK1,sK2(sK0,X0))) ),
    inference(subsumption_resolution,[],[f313,f96]) ).

fof(f313,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(sK1,sK2(sK0,X0)) = ap(i(bool),ap(sK1,sK2(sK0,X0))) ),
    inference(resolution,[],[f116,f176]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X0)))) = X1 ),
    inference(subsumption_resolution,[],[f312,f96]) ).

fof(f312,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X0)))) = X1 ),
    inference(resolution,[],[f116,f187]) ).

fof(f324,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X0))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X0)))) ),
    inference(subsumption_resolution,[],[f311,f96]) ).

fof(f311,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X0))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,sK2(sK0,X0)))) ),
    inference(resolution,[],[f116,f215]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK2(sK0,X0))))) = X1 ),
    inference(subsumption_resolution,[],[f310,f96]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),sK2(sK0,X0))))) = X1 ),
    inference(resolution,[],[f116,f242]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK2(sK0,X0)))) = X1 ),
    inference(subsumption_resolution,[],[f309,f96]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(sK0),X0))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,sK2(sK0,X0)))) = X1 ),
    inference(resolution,[],[f116,f282]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(arr(sK0,bool)),X0))
      | ~ mem(X0,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK2(arr(sK0,bool),X0)))) = X1 ),
    inference(resolution,[],[f116,f214]) ).

fof(f307,plain,
    ! [X2,X3,X0,X1] :
      ( mem(ap(sK2(arr(X0,X1),X2),X3),X1)
      | ~ mem(X2,arr(arr(X0,X1),bool))
      | ~ ne(arr(X0,X1))
      | ~ mem(X3,X0)
      | p(ap(c_2Ebool_2E_21(arr(X0,X1)),X2)) ),
    inference(resolution,[],[f116,f137]) ).

fof(f321,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,sK2(bool,X0))) = X1 ),
    inference(subsumption_resolution,[],[f306,f100]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,sK2(bool,X0))) = X1 ),
    inference(resolution,[],[f116,f185]) ).

fof(f320,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,sK2(bool,X0))) = X1 ),
    inference(subsumption_resolution,[],[f305,f100]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,sK2(bool,X0))) = X1 ),
    inference(resolution,[],[f116,f182]) ).

fof(f319,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ap(c_2Ebool_2E_7E,sK2(bool,X0)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK2(bool,X0))) ),
    inference(subsumption_resolution,[],[f304,f100]) ).

fof(f304,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(c_2Ebool_2E_7E,sK2(bool,X0)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK2(bool,X0))) ),
    inference(resolution,[],[f116,f180]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,sK2(bool,X0))) = X1 ),
    inference(subsumption_resolution,[],[f303,f100]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,sK2(bool,X0))) = X1 ),
    inference(resolution,[],[f116,f179]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | p(ap(sK1,X1))
      | p(sK2(bool,X0))
      | ap(sK1,X1) = sK2(bool,X0)
      | ~ mem(X1,sK0) ),
    inference(subsumption_resolution,[],[f302,f100]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ebool_2E_21(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | p(ap(sK1,X1))
      | p(sK2(bool,X0))
      | ap(sK1,X1) = sK2(bool,X0)
      | ~ mem(X1,sK0) ),
    inference(resolution,[],[f116,f174]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Epred__set_2ECHOICE(bool),X1))) = X0
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f296,f100]) ).

fof(f296,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Epred__set_2ECHOICE(bool),X1))) = X0
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f185,f172]) ).

fof(f295,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Ebool_2E_2F_5C,X1),X2))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f185,f184]) ).

fof(f294,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f185,f181]) ).

fof(f293,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_21(X1),X2))) = X0
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f185,f166]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ mem(X0,bool)
      | ap(k(arr(bool,bool),X1),ap(c_2Ebool_2E_2F_5C,X0)) = X1 ),
    inference(resolution,[],[f168,f136]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,X1))) = X0 ),
    inference(resolution,[],[f182,f164]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Epred__set_2ECHOICE(bool),X1))) = X0
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f287,f100]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Epred__set_2ECHOICE(bool),X1))) = X0
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f182,f172]) ).

fof(f286,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2E_2F_5C,X1),X2))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f182,f184]) ).

fof(f285,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2))) = X0
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f182,f181]) ).

fof(f284,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_21(X1),X2))) = X0
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f182,f166]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ~ mem(X0,bool)
      | ap(k(arr(bool,bool),X1),ap(c_2Emin_2E_3D_3D_3E,X0)) = X1 ),
    inference(resolution,[],[f167,f136]) ).

fof(f279,plain,
    ! [X0] : ap(k(arr(arr(ind,bool),ind),X0),c_2Epred__set_2ECHOICE(ind)) = X0,
    inference(resolution,[],[f159,f99]) ).

fof(f278,plain,
    ! [X0] : ap(k(arr(arr(bool,bool),bool),X0),c_2Epred__set_2ECHOICE(bool)) = X0,
    inference(resolution,[],[f159,f100]) ).

fof(f281,plain,
    ! [X0] : ap(k(arr(arr(sK0,bool),sK0),X0),c_2Epred__set_2ECHOICE(sK0)) = X0,
    inference(resolution,[],[f159,f96]) ).

fof(f280,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(arr(arr(X0,X1),bool),arr(X0,X1)),X2),c_2Epred__set_2ECHOICE(arr(X0,X1))) = X2
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f159,f111]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ap(k(arr(arr(X0,bool),X0),X1),c_2Epred__set_2ECHOICE(X0)) = X1 ),
    inference(resolution,[],[f136,f106]) ).

fof(f275,plain,
    ! [X0] : ap(k(arr(ind,arr(ind,bool)),X0),c_2Emin_2E_3D(ind)) = X0,
    inference(resolution,[],[f158,f99]) ).

fof(f274,plain,
    ! [X0] : ap(k(arr(bool,arr(bool,bool)),X0),c_2Emin_2E_3D(bool)) = X0,
    inference(resolution,[],[f158,f100]) ).

fof(f277,plain,
    ! [X0] : ap(k(arr(sK0,arr(sK0,bool)),X0),c_2Emin_2E_3D(sK0)) = X0,
    inference(resolution,[],[f158,f96]) ).

fof(f276,plain,
    ! [X2,X0,X1] :
      ( ap(k(arr(arr(X0,X1),arr(arr(X0,X1),bool)),X2),c_2Emin_2E_3D(arr(X0,X1))) = X2
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f158,f111]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ap(k(arr(X0,arr(X0,bool)),X1),c_2Emin_2E_3D(X0)) = X1 ),
    inference(resolution,[],[f136,f105]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
      | ~ p(X0)
      | p(X1)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
              | ( ~ p(X1)
                & p(X0) ) )
            & ( p(X1)
              | ~ p(X0)
              | ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) ) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
              | ( ~ p(X1)
                & p(X0) ) )
            & ( p(X1)
              | ~ p(X0)
              | ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) ) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
          <=> ( p(X1)
              | ~ p(X0) ) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( mem(X0,bool)
     => ! [X1] :
          ( mem(X1,bool)
         => ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
          <=> ( p(X0)
             => p(X1) ) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X4] :
      ( mem(X4,bool)
     => ! [X5] :
          ( mem(X5,bool)
         => ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X4),X5))
          <=> ( p(X4)
             => p(X5) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_imp_p) ).

fof(f267,plain,
    ! [X0] : ap(k(arr(arr(ind,bool),bool),X0),c_2Ebool_2E_21(ind)) = X0,
    inference(resolution,[],[f155,f99]) ).

fof(f266,plain,
    ! [X0] : ap(k(arr(arr(bool,bool),bool),X0),c_2Ebool_2E_21(bool)) = X0,
    inference(resolution,[],[f155,f100]) ).

fof(f269,plain,
    ! [X0] : ap(k(arr(arr(sK0,bool),bool),X0),c_2Ebool_2E_21(sK0)) = X0,
    inference(resolution,[],[f155,f96]) ).

fof(f268,plain,
    ! [X2,X0,X1] :
      ( ~ ne(X1)
      | ap(k(arr(arr(arr(X0,X1),bool),bool),X2),c_2Ebool_2E_21(arr(X0,X1))) = X2
      | ~ ne(X0) ),
    inference(resolution,[],[f155,f111]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ap(k(arr(arr(X0,bool),bool),X1),c_2Ebool_2E_21(X0)) = X1 ),
    inference(resolution,[],[f136,f104]) ).

fof(f263,plain,
    c_2Epred__set_2ECHOICE(ind) = ap(i(arr(arr(ind,bool),ind)),c_2Epred__set_2ECHOICE(ind)),
    inference(resolution,[],[f152,f99]) ).

fof(f262,plain,
    c_2Epred__set_2ECHOICE(bool) = ap(i(arr(arr(bool,bool),bool)),c_2Epred__set_2ECHOICE(bool)),
    inference(resolution,[],[f152,f100]) ).

fof(f265,plain,
    c_2Epred__set_2ECHOICE(sK0) = ap(i(arr(arr(sK0,bool),sK0)),c_2Epred__set_2ECHOICE(sK0)),
    inference(resolution,[],[f152,f96]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( c_2Epred__set_2ECHOICE(arr(X0,X1)) = ap(i(arr(arr(arr(X0,X1),bool),arr(X0,X1))),c_2Epred__set_2ECHOICE(arr(X0,X1)))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f152,f111]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ ne(X0)
      | c_2Epred__set_2ECHOICE(X0) = ap(i(arr(arr(X0,bool),X0)),c_2Epred__set_2ECHOICE(X0)) ),
    inference(resolution,[],[f106,f135]) ).

fof(f255,plain,
    c_2Emin_2E_3D(ind) = ap(i(arr(ind,arr(ind,bool))),c_2Emin_2E_3D(ind)),
    inference(resolution,[],[f151,f99]) ).

fof(f254,plain,
    c_2Emin_2E_3D(bool) = ap(i(arr(bool,arr(bool,bool))),c_2Emin_2E_3D(bool)),
    inference(resolution,[],[f151,f100]) ).

fof(f257,plain,
    c_2Emin_2E_3D(sK0) = ap(i(arr(sK0,arr(sK0,bool))),c_2Emin_2E_3D(sK0)),
    inference(resolution,[],[f151,f96]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
      | ~ p(X1)
      | ~ p(X0)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( c_2Emin_2E_3D(arr(X0,X1)) = ap(i(arr(arr(X0,X1),arr(arr(X0,X1),bool))),c_2Emin_2E_3D(arr(X0,X1)))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f151,f111]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ ne(X0)
      | c_2Emin_2E_3D(X0) = ap(i(arr(X0,arr(X0,bool))),c_2Emin_2E_3D(X0)) ),
    inference(resolution,[],[f105,f135]) ).

fof(f251,plain,
    c_2Ebool_2E_21(ind) = ap(i(arr(arr(ind,bool),bool)),c_2Ebool_2E_21(ind)),
    inference(resolution,[],[f150,f99]) ).

fof(f250,plain,
    c_2Ebool_2E_21(bool) = ap(i(arr(arr(bool,bool),bool)),c_2Ebool_2E_21(bool)),
    inference(resolution,[],[f150,f100]) ).

fof(f253,plain,
    c_2Ebool_2E_21(sK0) = ap(i(arr(arr(sK0,bool),bool)),c_2Ebool_2E_21(sK0)),
    inference(resolution,[],[f150,f96]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( c_2Ebool_2E_21(arr(X0,X1)) = ap(i(arr(arr(arr(X0,X1),bool),bool)),c_2Ebool_2E_21(arr(X0,X1)))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(resolution,[],[f150,f111]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ ne(X0)
      | c_2Ebool_2E_21(X0) = ap(i(arr(arr(X0,bool),bool)),c_2Ebool_2E_21(X0)) ),
    inference(resolution,[],[f104,f135]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
      | ~ p(X1)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
      | p(X0)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),ap(c_2Epred__set_2ECHOICE(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f248,f96]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),ap(c_2Epred__set_2ECHOICE(sK0),X1))))) = X0
      | ~ mem(X1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f242,f172]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X1)))) = X0 ),
    inference(subsumption_resolution,[],[f239,f96]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),X1)))) = X0
      | ~ mem(X1,sK0)
      | ~ ne(sK0) ),
    inference(resolution,[],[f214,f169]) ).

fof(f247,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))))
      | ~ mem(X0,arr(sK0,bool)) ),
    inference(subsumption_resolution,[],[f246,f96]) ).

fof(f246,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))))
      | ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(resolution,[],[f215,f172]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ mem(X0,sK0)
      | ap(c_2Ebool_2E_7E,ap(sK1,X0)) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,X0))) ),
    inference(resolution,[],[f180,f164]) ).

fof(f110,plain,
    ! [X0] :
      ( mem(c_2Epred__set_2EDELETE(X0),arr(arr(X0,bool),arr(X0,arr(X0,bool))))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( mem(c_2Epred__set_2EDELETE(X0),arr(arr(X0,bool),arr(X0,arr(X0,bool))))
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Epred__set_2EDELETE(X0),arr(arr(X0,bool),arr(X0,arr(X0,bool)))) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X8] :
      ( ne(X8)
     => mem(c_2Epred__set_2EDELETE(X8),arr(arr(X8,bool),arr(X8,arr(X8,bool)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EDELETE) ).

fof(f240,plain,
    ! [X0] : ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))) = X0,
    inference(resolution,[],[f214,f97]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Epred__set_2ECHOICE(arr(sK0,bool)),X1)))) = X0
      | ~ mem(X1,arr(arr(sK0,bool),bool))
      | ~ ne(arr(sK0,bool)) ),
    inference(resolution,[],[f214,f172]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) = X1 ),
    inference(subsumption_resolution,[],[f208,f96]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK0,bool))
      | ~ ne(sK0)
      | ap(k(bool,X1),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0))) = X1 ),
    inference(resolution,[],[f172,f175]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( p(ap(sK1,X0))
      | p(ap(c_2Epred__set_2ECHOICE(bool),X1))
      | ap(sK1,X0) = ap(c_2Epred__set_2ECHOICE(bool),X1)
      | ~ mem(X0,sK0)
      | ~ mem(X1,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f237,f100]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( p(ap(sK1,X0))
      | p(ap(c_2Epred__set_2ECHOICE(bool),X1))
      | ap(sK1,X0) = ap(c_2Epred__set_2ECHOICE(bool),X1)
      | ~ mem(X0,sK0)
      | ~ mem(X1,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f174,f172]) ).

fof(f236,plain,
    ! [X2,X0,X1] :
      ( p(ap(sK1,X0))
      | p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2))
      | ap(sK1,X0) = ap(ap(c_2Ebool_2E_2F_5C,X1),X2)
      | ~ mem(X0,sK0)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f174,f184]) ).

fof(f235,plain,
    ! [X2,X0,X1] :
      ( p(ap(sK1,X0))
      | p(ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2))
      | ap(sK1,X0) = ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2)
      | ~ mem(X0,sK0)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f174,f181]) ).

fof(f234,plain,
    ! [X2,X0,X1] :
      ( p(ap(sK1,X0))
      | p(ap(c_2Ebool_2E_21(X1),X2))
      | ap(sK1,X0) = ap(c_2Ebool_2E_21(X1),X2)
      | ~ mem(X0,sK0)
      | ~ mem(X2,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f174,f166]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | p(ap(sK1,X0))
      | p(X1)
      | ap(sK1,X0) = X1
      | ~ mem(X0,sK0) ),
    inference(resolution,[],[f164,f127]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ~ p(ap(sK1,X0))
      | ~ mem(X0,sK0)
      | ~ p(X1)
      | ap(sK1,X0) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f164,f128]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ap(ap(c_2Ebool_2E_2F_5C,X1),X0) = ap(i(bool),ap(ap(c_2Ebool_2E_2F_5C,X1),X0)) ),
    inference(resolution,[],[f184,f135]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ap(k(bool,X2),ap(ap(c_2Ebool_2E_2F_5C,X1),X0)) = X2 ),
    inference(resolution,[],[f184,f136]) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | p(ap(ap(c_2Ebool_2E_2F_5C,X1),X0))
      | p(X2)
      | ap(ap(c_2Ebool_2E_2F_5C,X1),X0) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f184,f127]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ~ p(ap(ap(c_2Ebool_2E_2F_5C,X1),X0))
      | ~ p(X2)
      | ap(ap(c_2Ebool_2E_2F_5C,X1),X0) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f184,f128]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X1),X0))) = X2 ),
    inference(resolution,[],[f184,f179]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X1),X0)) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X1),X0))) ),
    inference(resolution,[],[f184,f180]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( mem(ap(ap(c_2Ebool_2E_2F_5C,X0),X1),bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f168,f137]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0) = ap(i(bool),ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0)) ),
    inference(resolution,[],[f181,f135]) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ap(k(bool,X2),ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0)) = X2 ),
    inference(resolution,[],[f181,f136]) ).

fof(f223,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | p(ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0))
      | p(X2)
      | ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f181,f127]) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0))
      | ~ p(X2)
      | ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f181,f128]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0))) = X2 ),
    inference(resolution,[],[f181,f179]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0)) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X1),X0))) ),
    inference(resolution,[],[f181,f180]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( mem(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1),bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f167,f137]) ).

fof(f219,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0)) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0)))
      | ~ mem(X0,arr(bool,bool)) ),
    inference(subsumption_resolution,[],[f218,f100]) ).

fof(f218,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0)) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0)))
      | ~ mem(X0,arr(bool,bool))
      | ~ ne(bool) ),
    inference(resolution,[],[f180,f172]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X0),X1)) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X0),X1)))
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(resolution,[],[f180,f166]) ).

fof(f216,plain,
    ! [X0] :
      ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)))
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f180,f165]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ap(c_2Ebool_2E_7E,X0) = ap(i(bool),ap(c_2Ebool_2E_7E,X0)) ),
    inference(resolution,[],[f165,f135]) ).

fof(f205,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X0,arr(arr(X1,X2),bool))
      | ~ ne(arr(X1,X2))
      | ~ mem(X3,X1)
      | mem(ap(ap(c_2Epred__set_2ECHOICE(arr(X1,X2)),X0),X3),X2) ),
    inference(resolution,[],[f172,f137]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(bool,bool))
      | p(ap(c_2Epred__set_2ECHOICE(bool),X0))
      | p(X1)
      | ap(c_2Epred__set_2ECHOICE(bool),X0) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f204,f100]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | p(ap(c_2Epred__set_2ECHOICE(bool),X0))
      | p(X1)
      | ap(c_2Epred__set_2ECHOICE(bool),X0) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f172,f127]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ p(ap(c_2Epred__set_2ECHOICE(bool),X0))
      | ~ mem(X0,arr(bool,bool))
      | ~ p(X1)
      | ap(c_2Epred__set_2ECHOICE(bool),X0) = X1
      | ~ mem(X1,bool) ),
    inference(subsumption_resolution,[],[f203,f100]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ~ p(ap(c_2Epred__set_2ECHOICE(bool),X0))
      | ~ p(X1)
      | ap(c_2Epred__set_2ECHOICE(bool),X0) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f172,f128]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(bool,bool))
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0))) = X1 ),
    inference(subsumption_resolution,[],[f202,f100]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(bool,bool))
      | ~ ne(bool)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0))) = X1 ),
    inference(resolution,[],[f172,f179]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(c_2Epred__set_2ECHOICE(X1),X0) = ap(i(X1),ap(c_2Epred__set_2ECHOICE(X1),X0)) ),
    inference(resolution,[],[f172,f135]) ).

fof(f200,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(k(X1,X2),ap(c_2Epred__set_2ECHOICE(X1),X0)) = X2 ),
    inference(resolution,[],[f172,f136]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( mem(ap(c_2Epred__set_2ECHOICE(X1),X0),X1)
      | ~ mem(X0,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f137,f106]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ~ mem(X0,X1)
      | ~ ne(X1)
      | ap(c_2Emin_2E_3D(X1),X0) = ap(i(arr(X1,bool)),ap(c_2Emin_2E_3D(X1),X0)) ),
    inference(resolution,[],[f169,f135]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,X1)
      | ~ ne(X1)
      | ap(k(arr(X1,bool),X2),ap(c_2Emin_2E_3D(X1),X0)) = X2 ),
    inference(resolution,[],[f169,f136]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( mem(ap(c_2Emin_2E_3D(X1),X0),arr(X1,bool))
      | ~ mem(X0,X1)
      | ~ ne(X1) ),
    inference(resolution,[],[f137,f105]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(c_2Ebool_2E_21(X1),X0) = ap(i(bool),ap(c_2Ebool_2E_21(X1),X0)) ),
    inference(resolution,[],[f166,f135]) ).

fof(f195,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(k(bool,X2),ap(c_2Ebool_2E_21(X1),X0)) = X2 ),
    inference(resolution,[],[f166,f136]) ).

fof(f194,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | p(ap(c_2Ebool_2E_21(X1),X0))
      | p(X2)
      | ap(c_2Ebool_2E_21(X1),X0) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f166,f127]) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ~ p(ap(c_2Ebool_2E_21(X1),X0))
      | ~ p(X2)
      | ap(c_2Ebool_2E_21(X1),X0) = X2
      | ~ mem(X2,bool) ),
    inference(resolution,[],[f166,f128]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,arr(X1,bool))
      | ~ ne(X1)
      | ap(k(bool,X2),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X1),X0))) = X2 ),
    inference(resolution,[],[f166,f179]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( mem(ap(c_2Ebool_2E_21(X1),X0),bool)
      | ~ mem(X0,arr(X1,bool))
      | ~ ne(X1) ),
    inference(resolution,[],[f137,f104]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ mem(X1,sK0)
      | ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,X1))) = X0 ),
    inference(resolution,[],[f179,f164]) ).

fof(f109,plain,
    ! [X0] :
      ( mem(c_2Epred__set_2ESUBSET(X0),arr(arr(X0,bool),arr(arr(X0,bool),bool)))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( mem(c_2Epred__set_2ESUBSET(X0),arr(arr(X0,bool),arr(arr(X0,bool),bool)))
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Epred__set_2ESUBSET(X0),arr(arr(X0,bool),arr(arr(X0,bool),bool))) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X8] :
      ( ne(X8)
     => mem(c_2Epred__set_2ESUBSET(X8),arr(arr(X8,bool),arr(arr(X8,bool),bool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ESUBSET) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ~ mem(X0,bool)
      | ap(k(bool,X1),ap(c_2Ebool_2E_7E,X0)) = X1 ),
    inference(resolution,[],[f165,f136]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ mem(X0,sK0)
      | ap(sK1,X0) = ap(i(bool),ap(sK1,X0)) ),
    inference(resolution,[],[f164,f135]) ).

fof(f167,plain,
    ! [X0] :
      ( mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(bool,bool))
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f137,f102]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( ~ mem(X0,sK0)
      | ap(k(bool,X1),ap(sK1,X0)) = X1 ),
    inference(resolution,[],[f164,f136]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | p(ap(c_2Ebool_2E_7E,X0))
      | p(X1)
      | ap(c_2Ebool_2E_7E,X0) = X1
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f165,f127]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ p(ap(c_2Ebool_2E_7E,X0))
      | ~ mem(X0,bool)
      | ~ p(X1)
      | ap(c_2Ebool_2E_7E,X0) = X1
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f165,f128]) ).

fof(f165,plain,
    ! [X0] :
      ( mem(ap(c_2Ebool_2E_7E,X0),bool)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f137,f101]) ).

fof(f164,plain,
    ! [X0] :
      ( mem(ap(sK1,X0),bool)
      | ~ mem(X0,sK0) ),
    inference(resolution,[],[f137,f97]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | ~ p(X1)
      | ~ p(X0)
      | X0 = X1
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ( ( ~ p(X1)
              | ~ p(X0) )
            & ( p(X1)
              | p(X0) ) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ( p(X0)
          <~> p(X1) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ( p(X0)
          <~> p(X1) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( mem(X0,bool)
     => ! [X1] :
          ( mem(X1,bool)
         => ( ( p(X0)
            <=> p(X1) )
           => X0 = X1 ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X4] :
      ( mem(X4,bool)
     => ! [X5] :
          ( mem(X5,bool)
         => ( ( p(X4)
            <=> p(X5) )
           => X4 = X5 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolext) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | p(X1)
      | p(X0)
      | X0 = X1
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f143,plain,
    ! [X2,X0] :
      ( p(ap(ap(c_2Emin_2E_3D(X0),X2),X2))
      | ~ mem(X2,X0)
      | ~ ne(X0) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X2,X0] :
      ( p(ap(ap(c_2Emin_2E_3D(X0),X2),X2))
      | ~ mem(X2,X0)
      | ~ mem(X2,X0)
      | ~ ne(X0) ),
    inference(equality_resolution,[],[f113]) ).

fof(f113,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
      | X1 != X2
      | ~ mem(X2,X0)
      | ~ mem(X1,X0)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f108,plain,
    ! [X0] :
      ( mem(c_2Ebool_2EIN(X0),arr(X0,arr(arr(X0,bool),bool)))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( mem(c_2Ebool_2EIN(X0),arr(X0,arr(arr(X0,bool),bool)))
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Ebool_2EIN(X0),arr(X0,arr(arr(X0,bool),bool))) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X8] :
      ( ne(X8)
     => mem(c_2Ebool_2EIN(X8),arr(X8,arr(arr(X8,bool),bool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EIN) ).

fof(f107,plain,
    ! [X0] :
      ( mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool)))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool)))
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool))) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X8] :
      ( ne(X8)
     => mem(c_2Epred__set_2EREST(X8),arr(arr(X8,bool),arr(X8,bool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EREST) ).

fof(f157,plain,
    ! [X0] : ap(k(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_2F_5C) = X0,
    inference(resolution,[],[f136,f103]) ).

fof(f156,plain,
    ! [X0] : ap(k(arr(bool,arr(bool,bool)),X0),c_2Emin_2E_3D_3D_3E) = X0,
    inference(resolution,[],[f136,f102]) ).

fof(f149,plain,
    c_2Ebool_2E_2F_5C = ap(i(arr(bool,arr(bool,bool))),c_2Ebool_2E_2F_5C),
    inference(resolution,[],[f135,f103]) ).

fof(f148,plain,
    c_2Emin_2E_3D_3D_3E = ap(i(arr(bool,arr(bool,bool))),c_2Emin_2E_3D_3D_3E),
    inference(resolution,[],[f135,f102]) ).

fof(f154,plain,
    ! [X0] : ap(k(arr(bool,bool),X0),c_2Ebool_2E_7E) = X0,
    inference(resolution,[],[f136,f101]) ).

fof(f153,plain,
    ! [X0] : ap(k(arr(sK0,bool),X0),sK1) = X0,
    inference(resolution,[],[f136,f97]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X2,X0)
      | ap(k(X0,X1),X2) = X1 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ap(k(X0,X1),X2) = X1
      | ~ mem(X2,X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( mem(X2,X0)
     => ap(k(X0,X1),X2) = X1 ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X7,X3] :
      ( mem(X3,X0)
     => ap(k(X0,X7),X3) = X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kbeta) ).

fof(f106,plain,
    ! [X0] :
      ( mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0))
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0)) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X8] :
      ( ne(X8)
     => mem(c_2Epred__set_2ECHOICE(X8),arr(arr(X8,bool),X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).

fof(f105,plain,
    ! [X0] :
      ( mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool)))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool)))
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool))) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X8] :
      ( ne(X8)
     => mem(c_2Emin_2E_3D(X8),arr(X8,arr(X8,bool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D) ).

fof(f147,plain,
    c_2Ebool_2E_7E = ap(i(arr(bool,bool)),c_2Ebool_2E_7E),
    inference(resolution,[],[f135,f101]) ).

fof(f104,plain,
    ! [X0] :
      ( mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool))
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool)) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X8] :
      ( ne(X8)
     => mem(c_2Ebool_2E_21(X8),arr(arr(X8,bool),bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_21) ).

fof(f146,plain,
    sK1 = ap(i(arr(sK0,bool)),sK1),
    inference(resolution,[],[f135,f97]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ mem(X1,X0)
      | ap(i(X0),X1) = X1 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ap(i(X0),X1) = X1
      | ~ mem(X1,X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( mem(X1,X0)
     => ap(i(X0),X1) = X1 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X3] :
      ( mem(X3,X0)
     => ap(i(X0),X3) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibeta) ).

fof(f126,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_7E,X0))
      | p(X0)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ( ( p(ap(c_2Ebool_2E_7E,X0))
          | p(X0) )
        & ( ~ p(X0)
          | ~ p(ap(c_2Ebool_2E_7E,X0)) ) )
      | ~ mem(X0,bool) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ( p(ap(c_2Ebool_2E_7E,X0))
      <=> ~ p(X0) )
      | ~ mem(X0,bool) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( mem(X0,bool)
     => ( p(ap(c_2Ebool_2E_7E,X0))
      <=> ~ p(X0) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X4] :
      ( mem(X4,bool)
     => ( p(ap(c_2Ebool_2E_7E,X4))
      <=> ~ p(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_neg_p) ).

fof(f125,plain,
    ! [X0] :
      ( ~ p(ap(c_2Ebool_2E_7E,X0))
      | ~ p(X0)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ne(arr(X0,X1))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1] :
          ( ne(arr(X0,X1))
          | ~ ne(X1) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ne(arr(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arr_ne) ).

fof(f102,plain,
    mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D_3D_3E) ).

fof(f101,plain,
    mem(c_2Ebool_2E_7E,arr(bool,bool)),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    mem(c_2Ebool_2E_7E,arr(bool,bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).

fof(f99,plain,
    ne(ind),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ne(ind),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ind_ne) ).

fof(f7214,plain,
    ( mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
    | ~ spl5_45 ),
    inference(avatar_component_clause,[],[f7213]) ).

fof(f7224,plain,
    spl5_45,
    inference(avatar_contradiction_clause,[],[f7223]) ).

fof(f7223,plain,
    ( $false
    | spl5_45 ),
    inference(subsumption_resolution,[],[f7222,f100]) ).

fof(f7222,plain,
    ( ~ ne(bool)
    | spl5_45 ),
    inference(subsumption_resolution,[],[f7221,f101]) ).

fof(f7221,plain,
    ( ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
    | ~ ne(bool)
    | spl5_45 ),
    inference(resolution,[],[f7215,f172]) ).

fof(f7215,plain,
    ( ~ mem(ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E),bool)
    | spl5_45 ),
    inference(avatar_component_clause,[],[f7213]) ).

fof(f7220,plain,
    ( ~ spl5_45
    | ~ spl5_46 ),
    inference(avatar_split_clause,[],[f724,f7217,f7213]) ).

fof(f7217,plain,
    ( spl5_46
  <=> p(ap(ap(c_2Ebool_2EIN(bool),ap(c_2Epred__set_2ECHOICE(bool),c_2Ebool_2E_7E)),ap(c_2Epred__set_2EREST(bool),c_2Ebool_2E_7E))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).

fof(f6358,plain,
    spl5_44,
    inference(avatar_contradiction_clause,[],[f6357]) ).

fof(f6357,plain,
    ( $false
    | spl5_44 ),
    inference(subsumption_resolution,[],[f6356,f96]) ).

fof(f6356,plain,
    ( ~ ne(sK0)
    | spl5_44 ),
    inference(subsumption_resolution,[],[f6355,f100]) ).

fof(f6355,plain,
    ( ~ ne(bool)
    | ~ ne(sK0)
    | spl5_44 ),
    inference(resolution,[],[f6353,f111]) ).

fof(f6353,plain,
    ( ~ ne(arr(sK0,bool))
    | spl5_44 ),
    inference(avatar_component_clause,[],[f6351]) ).

fof(f6351,plain,
    ( spl5_44
  <=> ne(arr(sK0,bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).

fof(f6354,plain,
    ( spl5_43
    | ~ spl5_44 ),
    inference(avatar_split_clause,[],[f5830,f6351,f6348]) ).

fof(f6348,plain,
    ( spl5_43
  <=> ! [X0] : ap(k(arr(arr(sK0,bool),bool),X0),ap(c_2Emin_2E_3D(arr(sK0,bool)),sK1)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).

fof(f5830,plain,
    ! [X0] :
      ( ~ ne(arr(sK0,bool))
      | ap(k(arr(arr(sK0,bool),bool),X0),ap(c_2Emin_2E_3D(arr(sK0,bool)),sK1)) = X0 ),
    inference(resolution,[],[f198,f97]) ).

fof(f5627,plain,
    ( spl5_41
    | ~ spl5_42
    | spl5_2
    | ~ spl5_30 ),
    inference(avatar_split_clause,[],[f2844,f1740,f600,f5624,f5621]) ).

fof(f5621,plain,
    ( spl5_41
  <=> ! [X0] :
        ( ~ mem(c_2Ebool_2E_2F_5C,arr(bool,X0))
        | ~ mem(c_2Emin_2E_3D_3D_3E,arr(bool,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).

fof(f5624,plain,
    ( spl5_42
  <=> ap(c_2Emin_2E_3D_3D_3E,sK2(bool,c_2Ebool_2E_7E)) = ap(c_2Ebool_2E_2F_5C,sK2(bool,c_2Ebool_2E_7E)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).

fof(f600,plain,
    ( spl5_2
  <=> c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f1740,plain,
    ( spl5_30
  <=> sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = sK2(bool,c_2Ebool_2E_7E) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).

fof(f2844,plain,
    ( ! [X0] :
        ( ap(c_2Emin_2E_3D_3D_3E,sK2(bool,c_2Ebool_2E_7E)) != ap(c_2Ebool_2E_2F_5C,sK2(bool,c_2Ebool_2E_7E))
        | ~ mem(c_2Ebool_2E_2F_5C,arr(bool,X0))
        | ~ mem(c_2Emin_2E_3D_3D_3E,arr(bool,X0)) )
    | spl5_2
    | ~ spl5_30 ),
    inference(subsumption_resolution,[],[f2842,f601]) ).

fof(f601,plain,
    ( c_2Emin_2E_3D_3D_3E != c_2Ebool_2E_2F_5C
    | spl5_2 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f2842,plain,
    ( ! [X0] :
        ( ap(c_2Emin_2E_3D_3D_3E,sK2(bool,c_2Ebool_2E_7E)) != ap(c_2Ebool_2E_2F_5C,sK2(bool,c_2Ebool_2E_7E))
        | c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C
        | ~ mem(c_2Ebool_2E_2F_5C,arr(bool,X0))
        | ~ mem(c_2Emin_2E_3D_3D_3E,arr(bool,X0)) )
    | ~ spl5_30 ),
    inference(superposition,[],[f139,f1742]) ).

fof(f1742,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = sK2(bool,c_2Ebool_2E_7E)
    | ~ spl5_30 ),
    inference(avatar_component_clause,[],[f1740]) ).

fof(f3339,plain,
    ( spl5_39
    | spl5_40
    | ~ spl5_14
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(avatar_split_clause,[],[f3121,f2738,f2734,f1736,f1705,f1578,f1188,f3336,f3332]) ).

fof(f3332,plain,
    ( spl5_39
  <=> sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(sK1,sK2(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).

fof(f3336,plain,
    ( spl5_40
  <=> sK2(bool,c_2Ebool_2E_7E) = ap(sK1,sK2(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).

fof(f1188,plain,
    ( spl5_14
  <=> ! [X0] :
        ( p(ap(sK1,X0))
        | ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).

fof(f1578,plain,
    ( spl5_25
  <=> mem(sK2(sK0,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).

fof(f2734,plain,
    ( spl5_35
  <=> mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)),bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).

fof(f2738,plain,
    ( spl5_36
  <=> p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).

fof(f3121,plain,
    ( sK2(bool,c_2Ebool_2E_7E) = ap(sK1,sK2(sK0,sK1))
    | sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(sK1,sK2(sK0,sK1))
    | ~ spl5_14
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(resolution,[],[f2856,f1580]) ).

fof(f1580,plain,
    ( mem(sK2(sK0,sK1),sK0)
    | ~ spl5_25 ),
    inference(avatar_component_clause,[],[f1578]) ).

fof(f2856,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | ap(sK1,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ap(sK1,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) )
    | ~ spl5_14
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(duplicate_literal_removal,[],[f2847]) ).

fof(f2847,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,sK0)
        | ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) )
    | ~ spl5_14
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(resolution,[],[f2846,f1189]) ).

fof(f1189,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) )
    | ~ spl5_14 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f2846,plain,
    ( ! [X0] :
        ( ~ p(ap(sK1,X0))
        | ap(sK1,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,sK0) )
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(forward_demodulation,[],[f2782,f2803]) ).

fof(f2803,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = sK2(bool,c_2Ebool_2E_7E)
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(subsumption_resolution,[],[f2797,f1737]) ).

fof(f2797,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = sK2(bool,c_2Ebool_2E_7E)
    | ~ p(sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_27
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(resolution,[],[f2775,f1707]) ).

fof(f2775,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = X0
        | ~ p(X0) )
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(subsumption_resolution,[],[f2756,f2740]) ).

fof(f2740,plain,
    ( p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))
    | ~ spl5_36 ),
    inference(avatar_component_clause,[],[f2738]) ).

fof(f2756,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))
        | ~ p(X0)
        | ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_35 ),
    inference(resolution,[],[f2735,f128]) ).

fof(f2735,plain,
    ( mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)),bool)
    | ~ spl5_35 ),
    inference(avatar_component_clause,[],[f2734]) ).

fof(f2782,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | ~ p(ap(sK1,X0))
        | ~ mem(X0,sK0) )
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(resolution,[],[f2775,f164]) ).

fof(f3027,plain,
    ( spl5_37
    | spl5_38
    | ~ spl5_9 ),
    inference(avatar_split_clause,[],[f1573,f829,f3025,f3021]) ).

fof(f3021,plain,
    ( spl5_37
  <=> mem(sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1)),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).

fof(f3025,plain,
    ( spl5_38
  <=> ! [X0] :
        ( p(ap(ap(c_2Epred__set_2EREST(sK0),sK1),X0))
        | ~ mem(X0,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).

fof(f1573,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Epred__set_2EREST(sK0),sK1),X0))
        | ~ mem(X0,sK0)
        | mem(sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1)),sK0) )
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f1561,f96]) ).

fof(f1561,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Epred__set_2EREST(sK0),sK1),X0))
        | ~ mem(X0,sK0)
        | ~ ne(sK0)
        | mem(sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1)),sK0) )
    | ~ spl5_9 ),
    inference(resolution,[],[f447,f830]) ).

fof(f2910,plain,
    ( spl5_26
    | ~ spl5_18
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(avatar_split_clause,[],[f2909,f2738,f2734,f1740,f1736,f1705,f1578,f1267,f1582]) ).

fof(f1582,plain,
    ( spl5_26
  <=> ! [X0] :
        ( p(ap(sK1,X0))
        | ~ mem(X0,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).

fof(f1267,plain,
    ( spl5_18
  <=> ! [X0] :
        ( p(ap(sK1,X0))
        | ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).

fof(f2909,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | p(ap(sK1,X0)) )
    | ~ spl5_18
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(subsumption_resolution,[],[f2908,f96]) ).

fof(f2908,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | p(ap(sK1,X0))
        | ~ ne(sK0) )
    | ~ spl5_18
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(subsumption_resolution,[],[f2907,f97]) ).

fof(f2907,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | p(ap(sK1,X0))
        | ~ mem(sK1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_18
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(resolution,[],[f2906,f115]) ).

fof(f2906,plain,
    ( p(ap(c_2Ebool_2E_21(sK0),sK1))
    | ~ spl5_18
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(subsumption_resolution,[],[f2905,f96]) ).

fof(f2905,plain,
    ( p(ap(c_2Ebool_2E_21(sK0),sK1))
    | ~ ne(sK0)
    | ~ spl5_18
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(subsumption_resolution,[],[f2904,f97]) ).

fof(f2904,plain,
    ( p(ap(c_2Ebool_2E_21(sK0),sK1))
    | ~ mem(sK1,arr(sK0,bool))
    | ~ ne(sK0)
    | ~ spl5_18
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(subsumption_resolution,[],[f2893,f1737]) ).

fof(f2893,plain,
    ( ~ p(sK2(bool,c_2Ebool_2E_7E))
    | p(ap(c_2Ebool_2E_21(sK0),sK1))
    | ~ mem(sK1,arr(sK0,bool))
    | ~ ne(sK0)
    | ~ spl5_18
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(superposition,[],[f117,f2863]) ).

fof(f2863,plain,
    ( sK2(bool,c_2Ebool_2E_7E) = ap(sK1,sK2(sK0,sK1))
    | ~ spl5_18
    | ~ spl5_25
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(resolution,[],[f2858,f1580]) ).

fof(f2858,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | ap(sK1,X0) = sK2(bool,c_2Ebool_2E_7E) )
    | ~ spl5_18
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(duplicate_literal_removal,[],[f2857]) ).

fof(f2857,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ap(sK1,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,sK0) )
    | ~ spl5_18
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(forward_demodulation,[],[f2855,f1742]) ).

fof(f2855,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) )
    | ~ spl5_18
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(duplicate_literal_removal,[],[f2848]) ).

fof(f2848,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,sK0)
        | ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) )
    | ~ spl5_18
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(resolution,[],[f2846,f1268]) ).

fof(f1268,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) )
    | ~ spl5_18 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f2825,plain,
    ( spl5_2
    | ~ spl5_17
    | ~ spl5_27
    | ~ spl5_29
    | spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(avatar_contradiction_clause,[],[f2824]) ).

fof(f2824,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | ~ spl5_27
    | ~ spl5_29
    | spl5_30
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(subsumption_resolution,[],[f2823,f1741]) ).

fof(f1741,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) != sK2(bool,c_2Ebool_2E_7E)
    | spl5_30 ),
    inference(avatar_component_clause,[],[f1740]) ).

fof(f2823,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = sK2(bool,c_2Ebool_2E_7E)
    | spl5_2
    | ~ spl5_17
    | ~ spl5_27
    | ~ spl5_29
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(forward_demodulation,[],[f2802,f2803]) ).

fof(f2802,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | spl5_2
    | ~ spl5_17
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(subsumption_resolution,[],[f2793,f1265]) ).

fof(f1265,plain,
    ( p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ spl5_17 ),
    inference(avatar_component_clause,[],[f1263]) ).

fof(f1263,plain,
    ( spl5_17
  <=> p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).

fof(f2793,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_2
    | ~ spl5_35
    | ~ spl5_36 ),
    inference(resolution,[],[f2775,f1206]) ).

fof(f1206,plain,
    ( mem(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C),bool)
    | spl5_2 ),
    inference(subsumption_resolution,[],[f1200,f601]) ).

fof(f1200,plain,
    ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C
    | mem(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C),bool) ),
    inference(resolution,[],[f527,f102]) ).

fof(f2754,plain,
    ( ~ spl5_1
    | spl5_35 ),
    inference(avatar_contradiction_clause,[],[f2753]) ).

fof(f2753,plain,
    ( $false
    | ~ spl5_1
    | spl5_35 ),
    inference(subsumption_resolution,[],[f2752,f598]) ).

fof(f598,plain,
    ( mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f596,plain,
    ( spl5_1
  <=> mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f2752,plain,
    ( ~ mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool)
    | spl5_35 ),
    inference(resolution,[],[f2736,f165]) ).

fof(f2736,plain,
    ( ~ mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)),bool)
    | spl5_35 ),
    inference(avatar_component_clause,[],[f2734]) ).

fof(f2749,plain,
    ( ~ spl5_1
    | spl5_13
    | spl5_36 ),
    inference(avatar_contradiction_clause,[],[f2748]) ).

fof(f2748,plain,
    ( $false
    | ~ spl5_1
    | spl5_13
    | spl5_36 ),
    inference(subsumption_resolution,[],[f2747,f598]) ).

fof(f2747,plain,
    ( ~ mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool)
    | spl5_13
    | spl5_36 ),
    inference(subsumption_resolution,[],[f2744,f1185]) ).

fof(f1185,plain,
    ( ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | spl5_13 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1184,plain,
    ( spl5_13
  <=> p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).

fof(f2744,plain,
    ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool)
    | spl5_36 ),
    inference(resolution,[],[f2739,f126]) ).

fof(f2739,plain,
    ( ~ p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))
    | spl5_36 ),
    inference(avatar_component_clause,[],[f2738]) ).

fof(f2741,plain,
    ( ~ spl5_35
    | spl5_36
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(avatar_split_clause,[],[f2700,f2307,f2303,f1401,f1397,f1184,f596,f2738,f2734]) ).

fof(f1397,plain,
    ( spl5_23
  <=> mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)),bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).

fof(f1401,plain,
    ( spl5_24
  <=> p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).

fof(f2303,plain,
    ( spl5_31
  <=> mem(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)),bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).

fof(f2307,plain,
    ( spl5_32
  <=> p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).

fof(f2700,plain,
    ( p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))
    | ~ mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)),bool)
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(subsumption_resolution,[],[f2695,f1185]) ).

fof(f2695,plain,
    ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))
    | ~ mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)),bool)
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(superposition,[],[f126,f2680]) ).

fof(f2680,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(forward_demodulation,[],[f2679,f2447]) ).

fof(f2447,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_1
    | spl5_13
    | ~ spl5_31
    | spl5_32 ),
    inference(subsumption_resolution,[],[f2438,f1185]) ).

fof(f2438,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))
    | p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | ~ spl5_31
    | spl5_32 ),
    inference(resolution,[],[f2393,f598]) ).

fof(f2393,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)) = X0
        | p(X0) )
    | ~ spl5_31
    | spl5_32 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f530,f531,f532,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f315,f2055,f2056,f2064,f2065,f2060,f2061,f2062,f2063,f316,f2140,f2141,f2149,f2150,f2145,f2146,f2147,f2148,f524,f2178,f2177,f2162,f2163,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2188,f2189,f2175,f2176,f533,f2290,f2289,f2274,f2275,f2291,f2292,f2293,f2294,f2295,f2296,f2297,f2298,f2300,f2301,f2287,f2288,f2308,f2304,f2335,f2336,f2337,f2338,f2348,f2342,f2341,f2340,f2339,f2334,f2333,f2144,f2059,f2343,f2390,f2332,f2331,f2392,f2330]) ).

fof(f2330,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
        | p(X0)
        | ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f127]) ).

fof(f2392,plain,
    ( ~ p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_31
    | spl5_32 ),
    inference(global_subsumption,[],[f2331,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f530,f531,f532,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f315,f2055,f2056,f2064,f2065,f2060,f2061,f2062,f2063,f316,f2140,f2141,f2149,f2150,f2145,f2146,f2147,f2148,f524,f2178,f2177,f2162,f2163,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2188,f2189,f2175,f2176,f533,f2290,f2289,f2274,f2275,f2291,f2292,f2293,f2294,f2295,f2296,f2297,f2298,f2300,f2301,f2287,f2288,f2308,f2144,f2059]) ).

fof(f2331,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
        | ~ p(X0)
        | ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f128]) ).

fof(f2332,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
        | ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))
        | ~ mem(X0,sK0) )
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f174]) ).

fof(f2390,plain,
    ( ~ p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_31
    | spl5_32 ),
    inference(global_subsumption,[],[f2343,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f530,f531,f532,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f315,f2055,f2056,f2064,f2065,f2060,f2061,f2062,f2063,f316,f2140,f2141,f2149,f2150,f2145,f2146,f2147,f2148,f524,f2178,f2177,f2162,f2163,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2188,f2189,f2175,f2176,f533,f2290,f2289,f2274,f2275,f2291,f2292,f2293,f2294,f2295,f2296,f2297,f2298,f2300,f2301,f2287,f2288,f2308,f2144,f2059]) ).

fof(f2343,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
        | ~ mem(X0,sK0)
        | p(ap(sK1,X0))
        | ~ p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))) )
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f495]) ).

fof(f2059,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
      | p(sK2(bool,c_2Ebool_2E_7E))
      | p(X0)
      | sK2(bool,c_2Ebool_2E_7E) = X0
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f315,f101]) ).

fof(f2333,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))) = X0
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f179]) ).

fof(f2334,plain,
    ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))))
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f180]) ).

fof(f2339,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))))) = X0
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f188]) ).

fof(f2340,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))))) = X0
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f283]) ).

fof(f2341,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))))) = X0
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f292]) ).

fof(f2342,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))))) = X0
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f333]) ).

fof(f2348,plain,
    ( ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f135]) ).

fof(f2338,plain,
    ( ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))))
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f186]) ).

fof(f2337,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))) = X0
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f185]) ).

fof(f2336,plain,
    ( ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))))
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f183]) ).

fof(f2335,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))) = X0
    | ~ spl5_31 ),
    inference(resolution,[],[f2304,f182]) ).

fof(f2304,plain,
    ( mem(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)),bool)
    | ~ spl5_31 ),
    inference(avatar_component_clause,[],[f2303]) ).

fof(f2308,plain,
    ( ~ p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | spl5_32 ),
    inference(avatar_component_clause,[],[f2307]) ).

fof(f2679,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))))
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(subsumption_resolution,[],[f2667,f2308]) ).

fof(f2667,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))))
    | p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(resolution,[],[f2657,f2304]) ).

fof(f2657,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(X0) )
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(duplicate_literal_removal,[],[f2654]) ).

fof(f2654,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(resolution,[],[f2574,f126]) ).

fof(f2574,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(resolution,[],[f2572,f165]) ).

fof(f2572,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(X0) )
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(duplicate_literal_removal,[],[f2566]) ).

fof(f2566,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,bool)
        | ~ p(X0)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(resolution,[],[f2531,f125]) ).

fof(f2531,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(resolution,[],[f2529,f165]) ).

fof(f2529,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(X0)
        | sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = X0 )
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(forward_demodulation,[],[f2049,f2489]) ).

fof(f2489,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ spl5_1
    | spl5_13
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(forward_demodulation,[],[f2446,f2447]) ).

fof(f2446,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_23
    | spl5_24
    | ~ spl5_31
    | spl5_32 ),
    inference(subsumption_resolution,[],[f2435,f1403]) ).

fof(f1403,plain,
    ( ~ p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | spl5_24 ),
    inference(avatar_component_clause,[],[f1401]) ).

fof(f2435,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))
    | p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ spl5_23
    | ~ spl5_31
    | spl5_32 ),
    inference(resolution,[],[f2393,f1398]) ).

fof(f1398,plain,
    ( mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)),bool)
    | ~ spl5_23 ),
    inference(avatar_component_clause,[],[f1397]) ).

fof(f2049,plain,
    ( ! [X0] :
        ( p(X0)
        | ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_23
    | spl5_24 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1398,f1422,f1424,f1435,f1445,f1446,f1447,f1448,f1450,f1460,f1461,f1462,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1420,f1425,f1426,f1427,f1428,f1681,f1443,f1442,f1436,f1434,f1423,f1421,f407,f1839,f1417,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1429,f1418,f1403,f1416]) ).

fof(f1416,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
        | p(X0)
        | ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f127]) ).

fof(f1418,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
        | ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | ~ mem(X0,sK0) )
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f174]) ).

fof(f1429,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
        | ~ mem(X0,sK0)
        | p(ap(sK1,X0))
        | ~ p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))) )
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f495]) ).

fof(f1417,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
        | ~ p(X0)
        | ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f128]) ).

fof(f1421,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))) = X0
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f182]) ).

fof(f1423,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))) = X0
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f185]) ).

fof(f1434,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f135]) ).

fof(f1436,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | ~ mem(X0,sK0) )
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1418,f1403]) ).

fof(f1442,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(ap(sK1,X0))
        | ~ mem(X0,sK0) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f164]) ).

fof(f1443,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(X0,bool) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f165]) ).

fof(f1681,plain,
    ( ! [X0] :
        ( c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = sK4(bool,X0,c_2Emin_2E_3D(bool))
        | p(sK4(bool,X0,c_2Emin_2E_3D(bool))) )
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1626,f100]) ).

fof(f1626,plain,
    ( ! [X0] :
        ( c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | ~ ne(bool)
        | ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = sK4(bool,X0,c_2Emin_2E_3D(bool))
        | p(sK4(bool,X0,c_2Emin_2E_3D(bool))) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f528,f1435]) ).

fof(f1428,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))))) = X0
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f333]) ).

fof(f1427,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))))) = X0
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f292]) ).

fof(f1426,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))))) = X0
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f283]) ).

fof(f1425,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))))) = X0
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f188]) ).

fof(f1420,plain,
    ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))))
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f180]) ).

fof(f1462,plain,
    ( ! [X0,X1] :
        ( sK3(bool,X0,X1) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1457,f100]) ).

fof(f1457,plain,
    ( ! [X0,X1] :
        ( sK3(bool,X0,X1) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f122]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( sK2(bool,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1456,f100]) ).

fof(f1456,plain,
    ( ! [X0] :
        ( sK2(bool,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f116]) ).

fof(f1460,plain,
    ( ! [X0] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1455,f100]) ).

fof(f1455,plain,
    ( ! [X0] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f172]) ).

fof(f1450,plain,
    ( ! [X0] :
        ( sK4(bool,X0,c_2Ebool_2E_7E) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(sK4(bool,X0,c_2Ebool_2E_7E))
        | c_2Ebool_2E_7E = X0
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f523]) ).

fof(f1448,plain,
    ( ! [X2,X0,X1] :
        ( ap(ap(c_2Emin_2E_3D(X0),X1),X2) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
        | ~ ne(X0)
        | ~ mem(X2,X0)
        | ~ mem(X1,X0) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f197]) ).

fof(f1447,plain,
    ( ! [X0,X1] :
        ( ap(ap(c_2Ebool_2E_2F_5C,X0),X1) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f184]) ).

fof(f1446,plain,
    ( ! [X0,X1] :
        ( ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f181]) ).

fof(f1445,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_21(X0),X1) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(ap(c_2Ebool_2E_21(X0),X1))
        | ~ mem(X1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f166]) ).

fof(f1435,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = X0
        | p(X0) )
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1416,f1403]) ).

fof(f1424,plain,
    ( ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))))
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f186]) ).

fof(f1422,plain,
    ( ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))))
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f183]) ).

fof(f2513,plain,
    spl5_33,
    inference(avatar_contradiction_clause,[],[f2512]) ).

fof(f2512,plain,
    ( $false
    | spl5_33 ),
    inference(subsumption_resolution,[],[f2511,f100]) ).

fof(f2511,plain,
    ( ~ ne(bool)
    | spl5_33 ),
    inference(duplicate_literal_removal,[],[f2510]) ).

fof(f2510,plain,
    ( ~ ne(bool)
    | ~ ne(bool)
    | spl5_33 ),
    inference(resolution,[],[f2504,f111]) ).

fof(f2504,plain,
    ( ~ ne(arr(bool,bool))
    | spl5_33 ),
    inference(avatar_component_clause,[],[f2502]) ).

fof(f2502,plain,
    ( spl5_33
  <=> ne(arr(bool,bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).

fof(f2509,plain,
    ( ~ spl5_33
    | spl5_34 ),
    inference(avatar_split_clause,[],[f633,f2506,f2502]) ).

fof(f2506,plain,
    ( spl5_34
  <=> ap(c_2Epred__set_2EREST(arr(bool,bool)),c_2Epred__set_2ECHOICE(bool)) = ap(ap(c_2Epred__set_2EDELETE(arr(bool,bool)),c_2Epred__set_2ECHOICE(bool)),ap(c_2Epred__set_2ECHOICE(arr(bool,bool)),c_2Epred__set_2ECHOICE(bool))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).

fof(f2383,plain,
    ( spl5_2
    | ~ spl5_17
    | ~ spl5_31
    | ~ spl5_32 ),
    inference(avatar_contradiction_clause,[],[f2382]) ).

fof(f2382,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | ~ spl5_31
    | ~ spl5_32 ),
    inference(subsumption_resolution,[],[f2368,f1265]) ).

fof(f2368,plain,
    ( ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_2
    | ~ spl5_31
    | ~ spl5_32 ),
    inference(resolution,[],[f2350,f1206]) ).

fof(f2350,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ~ p(X0) )
    | ~ spl5_31
    | ~ spl5_32 ),
    inference(global_subsumption,[],[f2349,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f530,f531,f532,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f315,f2055,f2056,f2064,f2065,f2060,f2061,f2062,f2063,f316,f2140,f2141,f2149,f2150,f2145,f2146,f2147,f2148,f524,f2178,f2177,f2162,f2163,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2188,f2189,f2175,f2176,f533,f2290,f2289,f2274,f2275,f2291,f2292,f2293,f2294,f2295,f2296,f2297,f2298,f2300,f2301,f2287,f2288,f2309,f2323,f2326]) ).

fof(f2326,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_7E,X0)) )
    | ~ spl5_32 ),
    inference(subsumption_resolution,[],[f2325,f100]) ).

fof(f2325,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_7E,X0))
        | ~ ne(bool) )
    | ~ spl5_32 ),
    inference(subsumption_resolution,[],[f2324,f101]) ).

fof(f2324,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_32 ),
    inference(resolution,[],[f2323,f115]) ).

fof(f2323,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ spl5_32 ),
    inference(subsumption_resolution,[],[f2322,f100]) ).

fof(f2322,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ ne(bool)
    | ~ spl5_32 ),
    inference(subsumption_resolution,[],[f2321,f101]) ).

fof(f2321,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
    | ~ ne(bool)
    | ~ spl5_32 ),
    inference(resolution,[],[f2309,f117]) ).

fof(f2309,plain,
    ( p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_32 ),
    inference(avatar_component_clause,[],[f2307]) ).

fof(f2349,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_31
    | ~ spl5_32 ),
    inference(subsumption_resolution,[],[f2331,f2309]) ).

fof(f2381,plain,
    ( ~ spl5_31
    | ~ spl5_32 ),
    inference(avatar_contradiction_clause,[],[f2380]) ).

fof(f2380,plain,
    ( $false
    | ~ spl5_31
    | ~ spl5_32 ),
    inference(subsumption_resolution,[],[f2365,f2309]) ).

fof(f2365,plain,
    ( ~ p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_31
    | ~ spl5_32 ),
    inference(resolution,[],[f2350,f2304]) ).

fof(f2329,plain,
    ( ~ spl5_27
    | spl5_31 ),
    inference(avatar_contradiction_clause,[],[f2328]) ).

fof(f2328,plain,
    ( $false
    | ~ spl5_27
    | spl5_31 ),
    inference(subsumption_resolution,[],[f2327,f1707]) ).

fof(f2327,plain,
    ( ~ mem(sK2(bool,c_2Ebool_2E_7E),bool)
    | spl5_31 ),
    inference(resolution,[],[f2305,f165]) ).

fof(f2305,plain,
    ( ~ mem(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)),bool)
    | spl5_31 ),
    inference(avatar_component_clause,[],[f2303]) ).

fof(f2318,plain,
    ( ~ spl5_27
    | spl5_29
    | spl5_32 ),
    inference(avatar_contradiction_clause,[],[f2317]) ).

fof(f2317,plain,
    ( $false
    | ~ spl5_27
    | spl5_29
    | spl5_32 ),
    inference(subsumption_resolution,[],[f2316,f1707]) ).

fof(f2316,plain,
    ( ~ mem(sK2(bool,c_2Ebool_2E_7E),bool)
    | spl5_29
    | spl5_32 ),
    inference(subsumption_resolution,[],[f2313,f1738]) ).

fof(f1738,plain,
    ( ~ p(sK2(bool,c_2Ebool_2E_7E))
    | spl5_29 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f2313,plain,
    ( p(sK2(bool,c_2Ebool_2E_7E))
    | ~ mem(sK2(bool,c_2Ebool_2E_7E),bool)
    | spl5_32 ),
    inference(resolution,[],[f2308,f126]) ).

fof(f2310,plain,
    ( ~ spl5_31
    | spl5_32
    | ~ spl5_1
    | spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(avatar_split_clause,[],[f2269,f1736,f1705,f1184,f596,f2307,f2303]) ).

fof(f2269,plain,
    ( p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ mem(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)),bool)
    | ~ spl5_1
    | spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f2264,f1738]) ).

fof(f2264,plain,
    ( p(sK2(bool,c_2Ebool_2E_7E))
    | p(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ mem(ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)),bool)
    | ~ spl5_1
    | spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(superposition,[],[f126,f2252]) ).

fof(f2252,plain,
    ( sK2(bool,c_2Ebool_2E_7E) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E)))
    | ~ spl5_1
    | spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(forward_demodulation,[],[f2251,f2090]) ).

fof(f2090,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK2(bool,c_2Ebool_2E_7E)
    | ~ spl5_1
    | spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f2081,f1185]) ).

fof(f2081,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK2(bool,c_2Ebool_2E_7E)
    | p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | ~ spl5_27
    | spl5_29 ),
    inference(resolution,[],[f2067,f598]) ).

fof(f2067,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | sK2(bool,c_2Ebool_2E_7E) = X0
        | p(X0) )
    | ~ spl5_27
    | spl5_29 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f1707,f1712,f1713,f1714,f1716,f1717,f1718,f1719,f1720,f1721,f1722,f1723,f1724,f1725,f1731,f1738,f1732,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f1715,f529,f1937,f1938,f1939,f1940,f315,f2055,f2056,f2064,f2065,f2066]) ).

fof(f2066,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
        | p(X0)
        | sK2(bool,c_2Ebool_2E_7E) = X0
        | ~ mem(X0,bool) )
    | spl5_29 ),
    inference(subsumption_resolution,[],[f2059,f1738]) ).

fof(f2251,plain,
    ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))) = sK2(bool,c_2Ebool_2E_7E)
    | ~ spl5_1
    | spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f2241,f1185]) ).

fof(f2241,plain,
    ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))) = sK2(bool,c_2Ebool_2E_7E)
    | p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | ~ spl5_27
    | spl5_29 ),
    inference(resolution,[],[f2228,f598]) ).

fof(f2228,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK2(bool,c_2Ebool_2E_7E)
        | p(X0) )
    | ~ spl5_27
    | spl5_29 ),
    inference(duplicate_literal_removal,[],[f2226]) ).

fof(f2226,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X0,bool) )
    | ~ spl5_27
    | spl5_29 ),
    inference(resolution,[],[f2191,f126]) ).

fof(f2191,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,bool) )
    | ~ spl5_27
    | spl5_29 ),
    inference(resolution,[],[f2159,f165]) ).

fof(f2159,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ~ p(X0) )
    | ~ spl5_27
    | spl5_29 ),
    inference(duplicate_literal_removal,[],[f2155]) ).

fof(f2155,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,bool)
        | ~ p(X0)
        | ~ mem(X0,bool) )
    | ~ spl5_27
    | spl5_29 ),
    inference(resolution,[],[f2072,f125]) ).

fof(f2072,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,X0) = sK2(bool,c_2Ebool_2E_7E)
        | ~ mem(X0,bool) )
    | ~ spl5_27
    | spl5_29 ),
    inference(resolution,[],[f2067,f165]) ).

fof(f2048,plain,
    ( spl5_2
    | spl5_13
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2047]) ).

fof(f2047,plain,
    ( $false
    | spl5_2
    | spl5_13
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1185,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996,f1265]) ).

fof(f1996,plain,
    ( ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_2
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f1206]) ).

fof(f2017,plain,
    ( ! [X0] :
        ( ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool)))
        | c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool))) )
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f2004,f100]) ).

fof(f2004,plain,
    ( ! [X0] :
        ( ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool)))
        | c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | ~ ne(bool) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f528]) ).

fof(f2016,plain,
    ( ! [X0,X1] :
        ( ~ p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f2003,f100]) ).

fof(f2003,plain,
    ( ! [X0,X1] :
        ( ~ p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f122]) ).

fof(f2015,plain,
    ( ! [X0] :
        ( ~ p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f2002,f100]) ).

fof(f2002,plain,
    ( ! [X0] :
        ( ~ p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f116]) ).

fof(f2014,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f2001,f100]) ).

fof(f2001,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f172]) ).

fof(f1995,plain,
    ( ! [X0] :
        ( ~ p(sK4(bool,X0,c_2Ebool_2E_7E))
        | c_2Ebool_2E_7E = X0
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f523]) ).

fof(f1993,plain,
    ( ! [X2,X0,X1] :
        ( ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
        | ~ ne(X0)
        | ~ mem(X2,X0)
        | ~ mem(X1,X0) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f197]) ).

fof(f2007,plain,
    ( ! [X0] : ~ mem(X0,bool)
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992]) ).

fof(f1992,plain,
    ( ! [X0,X1] :
        ( ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f184]) ).

fof(f2006,plain,
    ( ! [X0] : ~ mem(X0,bool)
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991]) ).

fof(f1991,plain,
    ( ! [X0,X1] :
        ( ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f181]) ).

fof(f1990,plain,
    ( ! [X0,X1] :
        ( ~ p(ap(c_2Ebool_2E_21(X0),X1))
        | ~ mem(X1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f166]) ).

fof(f2005,plain,
    ( ! [X0] : ~ mem(X0,bool)
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1988,f1710]) ).

fof(f1988,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(X0,bool) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f165]) ).

fof(f1987,plain,
    ( ! [X0] :
        ( ~ p(ap(sK1,X0))
        | ~ mem(X0,sK0) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f164]) ).

fof(f1985,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ~ p(X0) )
    | ~ spl5_28 ),
    inference(duplicate_literal_removal,[],[f1981]) ).

fof(f1981,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ~ p(X0)
        | ~ mem(X0,bool) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1710,f125]) ).

fof(f1982,plain,
    ( ! [X0] :
        ( ~ mem(sK2(X0,c_2Ebool_2E_7E),bool)
        | p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_7E))
        | ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_28 ),
    inference(resolution,[],[f1710,f117]) ).

fof(f1710,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(X0,bool) )
    | ~ spl5_28 ),
    inference(avatar_component_clause,[],[f1709]) ).

fof(f1709,plain,
    ( spl5_28
  <=> ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(X0,bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).

fof(f1215,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0) )
    | spl5_2 ),
    inference(resolution,[],[f1206,f174]) ).

fof(f1222,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))) = X0
    | spl5_2 ),
    inference(resolution,[],[f1206,f188]) ).

fof(f1220,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))) = X0
    | spl5_2 ),
    inference(resolution,[],[f1206,f185]) ).

fof(f1218,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))) = X0
    | spl5_2 ),
    inference(resolution,[],[f1206,f182]) ).

fof(f1228,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(i(bool),sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_2 ),
    inference(resolution,[],[f1206,f135]) ).

fof(f1216,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))) = X0
    | spl5_2 ),
    inference(resolution,[],[f1206,f179]) ).

fof(f1227,plain,
    ( ! [X0] : ap(k(bool,X0),sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = X0
    | spl5_2 ),
    inference(resolution,[],[f1206,f136]) ).

fof(f1226,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | ~ mem(X0,sK0)
        | p(ap(sK1,X0))
        | ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) )
    | spl5_2 ),
    inference(resolution,[],[f1206,f495]) ).

fof(f1225,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))))) = X0
    | spl5_2 ),
    inference(resolution,[],[f1206,f333]) ).

fof(f1224,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))) = X0
    | spl5_2 ),
    inference(resolution,[],[f1206,f292]) ).

fof(f1223,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))) = X0
    | spl5_2 ),
    inference(resolution,[],[f1206,f283]) ).

fof(f1221,plain,
    ( ap(c_2Ebool_2E_2F_5C,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | spl5_2 ),
    inference(resolution,[],[f1206,f186]) ).

fof(f1219,plain,
    ( ap(c_2Emin_2E_3D_3D_3E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | spl5_2 ),
    inference(resolution,[],[f1206,f183]) ).

fof(f1217,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | spl5_2 ),
    inference(resolution,[],[f1206,f180]) ).

fof(f1214,plain,
    ( ! [X0] :
        ( ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | ~ p(X0)
        | sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = X0
        | ~ mem(X0,bool) )
    | spl5_2 ),
    inference(resolution,[],[f1206,f128]) ).

fof(f1213,plain,
    ( ! [X0] :
        ( p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | p(X0)
        | sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = X0
        | ~ mem(X0,bool) )
    | spl5_2 ),
    inference(resolution,[],[f1206,f127]) ).

fof(f2046,plain,
    ( spl5_2
    | ~ spl5_14
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2045]) ).

fof(f2045,plain,
    ( $false
    | spl5_2
    | ~ spl5_14
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1189,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996,f1265]) ).

fof(f2044,plain,
    ( spl5_2
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2043]) ).

fof(f2043,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996,f1265]) ).

fof(f2042,plain,
    ( spl5_2
    | ~ spl5_17
    | spl5_19
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2041]) ).

fof(f2041,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | spl5_19
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1338,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f1338,plain,
    ( ~ p(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E))
    | spl5_19 ),
    inference(avatar_component_clause,[],[f1336]) ).

fof(f1336,plain,
    ( spl5_19
  <=> p(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).

fof(f2040,plain,
    ( spl5_2
    | ~ spl5_5
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2039]) ).

fof(f2039,plain,
    ( $false
    | spl5_2
    | ~ spl5_5
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1777,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f1777,plain,
    ( p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_2
    | ~ spl5_5
    | spl5_19
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1776,f1206]) ).

fof(f1776,plain,
    ( p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ mem(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C),bool)
    | ~ spl5_5
    | spl5_19
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1472,f1338]) ).

fof(f1472,plain,
    ( p(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E))
    | p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ mem(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C),bool)
    | ~ spl5_5
    | spl5_19
    | ~ spl5_23
    | spl5_24 ),
    inference(superposition,[],[f126,f1458]) ).

fof(f1458,plain,
    ( sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ spl5_5
    | spl5_19
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1453,f1338]) ).

fof(f1453,plain,
    ( sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | p(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E))
    | ~ spl5_5
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f701]) ).

fof(f701,plain,
    ( mem(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E),bool)
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f699,plain,
    ( spl5_5
  <=> mem(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E),bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f2038,plain,
    ( spl5_2
    | ~ spl5_5
    | ~ spl5_17
    | spl5_19
    | spl5_20
    | ~ spl5_23
    | spl5_24
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2037]) ).

fof(f2037,plain,
    ( $false
    | spl5_2
    | ~ spl5_5
    | ~ spl5_17
    | spl5_19
    | spl5_20
    | ~ spl5_23
    | spl5_24
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1779,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f1779,plain,
    ( p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_2
    | ~ spl5_5
    | spl5_19
    | spl5_20
    | ~ spl5_23
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1778,f1341]) ).

fof(f1341,plain,
    ( sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) != sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | spl5_20 ),
    inference(avatar_component_clause,[],[f1340]) ).

fof(f1340,plain,
    ( spl5_20
  <=> sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).

fof(f1778,plain,
    ( sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_2
    | ~ spl5_5
    | spl5_19
    | ~ spl5_23
    | spl5_24 ),
    inference(forward_demodulation,[],[f1451,f1458]) ).

fof(f1451,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_2
    | ~ spl5_23
    | spl5_24 ),
    inference(resolution,[],[f1435,f1206]) ).

fof(f2036,plain,
    ( spl5_2
    | ~ spl5_17
    | spl5_24
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2035]) ).

fof(f2035,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | spl5_24
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1403,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f2034,plain,
    ( spl5_2
    | ~ spl5_17
    | spl5_24
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2033]) ).

fof(f2033,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | spl5_24
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1789,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f1789,plain,
    ( p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_2
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1407,f1206]) ).

fof(f1407,plain,
    ( p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ mem(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C),bool)
    | spl5_24 ),
    inference(resolution,[],[f1403,f126]) ).

fof(f2032,plain,
    ( spl5_2
    | ~ spl5_17
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2031,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f2030,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f2030,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
        | ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1416,f1985]) ).

fof(f2029,plain,
    ( spl5_2
    | ~ spl5_17
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2028]) ).

fof(f2028,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1418,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f2027,plain,
    ( spl5_2
    | ~ spl5_17
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2026]) ).

fof(f2026,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1429,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f2025,plain,
    ( spl5_2
    | ~ spl5_17
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2024]) ).

fof(f2024,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1994,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f1994,plain,
    ( ~ p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ spl5_23
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f1398]) ).

fof(f2023,plain,
    ( spl5_2
    | ~ spl5_5
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2022]) ).

fof(f2022,plain,
    ( $false
    | spl5_2
    | ~ spl5_5
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f1998,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f1998,plain,
    ( ~ p(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E))
    | ~ spl5_5
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f701]) ).

fof(f2021,plain,
    ( spl5_2
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2020]) ).

fof(f2020,plain,
    ( $false
    | spl5_2
    | ~ spl5_17
    | ~ spl5_28 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1265,f407,f1839,f299,f1908,f1907,f529,f1937,f1938,f1939,f1940,f1710,f1982,f1985,f1987,f2005,f1990,f1991,f2006,f1992,f2007,f1993,f1995,f2014,f2015,f2016,f2017,f1996]) ).

fof(f2013,plain,
    ( ~ spl5_5
    | ~ spl5_19
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2012]) ).

fof(f2012,plain,
    ( $false
    | ~ spl5_5
    | ~ spl5_19
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1998,f1337]) ).

fof(f1337,plain,
    ( p(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E))
    | ~ spl5_19 ),
    inference(avatar_component_clause,[],[f1336]) ).

fof(f2011,plain,
    ( ~ spl5_1
    | ~ spl5_13
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2010]) ).

fof(f2010,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1997,f1186]) ).

fof(f1186,plain,
    ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_13 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1997,plain,
    ( ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | ~ spl5_28 ),
    inference(resolution,[],[f1985,f598]) ).

fof(f2009,plain,
    ( ~ spl5_23
    | ~ spl5_24
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f2008]) ).

fof(f2008,plain,
    ( $false
    | ~ spl5_23
    | ~ spl5_24
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1994,f1402]) ).

fof(f1402,plain,
    ( p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ spl5_24 ),
    inference(avatar_component_clause,[],[f1401]) ).

fof(f1979,plain,
    ( spl5_28
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(avatar_split_clause,[],[f1978,f1736,f1705,f1184,f596,f1709]) ).

fof(f1978,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_7E,X0)) )
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1977,f100]) ).

fof(f1977,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_7E,X0))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1976,f101]) ).

fof(f1976,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(resolution,[],[f1975,f115]) ).

fof(f1975,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1974,f100]) ).

fof(f1974,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ ne(bool)
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1973,f101]) ).

fof(f1973,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
    | ~ ne(bool)
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1972,f1186]) ).

fof(f1972,plain,
    ( ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
    | ~ ne(bool)
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(superposition,[],[f117,f1961]) ).

fof(f1961,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1955,f1738]) ).

fof(f1955,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))
    | p(sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27 ),
    inference(resolution,[],[f1934,f1707]) ).

fof(f1934,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(X0) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(duplicate_literal_removal,[],[f1931]) ).

fof(f1931,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1272,f126]) ).

fof(f1272,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f165]) ).

fof(f1270,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = X0
        | ~ p(X0) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(subsumption_resolution,[],[f683,f1186]) ).

fof(f683,plain,
    ( ! [X0] :
        ( ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | ~ p(X0)
        | sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f128]) ).

fof(f1899,plain,
    ( spl5_17
    | ~ spl5_19
    | ~ spl5_20 ),
    inference(avatar_contradiction_clause,[],[f1898]) ).

fof(f1898,plain,
    ( $false
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1337,f1342,f407,f1839,f1812,f1264]) ).

fof(f1264,plain,
    ( ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | spl5_17 ),
    inference(avatar_component_clause,[],[f1263]) ).

fof(f1812,plain,
    ( p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ spl5_19
    | ~ spl5_20 ),
    inference(superposition,[],[f1337,f1342]) ).

fof(f1342,plain,
    ( sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | ~ spl5_20 ),
    inference(avatar_component_clause,[],[f1340]) ).

fof(f1897,plain,
    ( spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(avatar_contradiction_clause,[],[f1896]) ).

fof(f1896,plain,
    ( $false
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(global_subsumption,[],[f1402,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1264,f1337,f1342,f407,f1839,f1812]) ).

fof(f1895,plain,
    ( spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(avatar_contradiction_clause,[],[f1894]) ).

fof(f1894,plain,
    ( $false
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(global_subsumption,[],[f1416,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1264,f1337,f1342,f407,f1839,f1812]) ).

fof(f1893,plain,
    ( spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(avatar_contradiction_clause,[],[f1892]) ).

fof(f1892,plain,
    ( $false
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(global_subsumption,[],[f1417,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1264,f1337,f1342,f407,f1839,f1812]) ).

fof(f1891,plain,
    ( spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1890,plain,
    ( $false
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(global_subsumption,[],[f1418,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1264,f1337,f1342,f407,f1839,f1812]) ).

fof(f1889,plain,
    ( spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(avatar_contradiction_clause,[],[f1888]) ).

fof(f1888,plain,
    ( $false
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(global_subsumption,[],[f1429,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1264,f1337,f1342,f407,f1839,f1812]) ).

fof(f1887,plain,
    ( ~ spl5_1
    | ~ spl5_13
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(avatar_contradiction_clause,[],[f1886]) ).

fof(f1886,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_13
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_23 ),
    inference(global_subsumption,[],[f1430,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1264,f1337,f1342,f407,f1839,f1812]) ).

fof(f1430,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_23 ),
    inference(resolution,[],[f1398,f1270]) ).

fof(f1885,plain,
    ( spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_27 ),
    inference(avatar_contradiction_clause,[],[f1884]) ).

fof(f1884,plain,
    ( $false
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_27 ),
    inference(global_subsumption,[],[f1715,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1264,f1337,f1342,f407,f1839,f1812]) ).

fof(f1883,plain,
    ( ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20 ),
    inference(avatar_contradiction_clause,[],[f1882]) ).

fof(f1882,plain,
    ( $false
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20 ),
    inference(global_subsumption,[],[f1279,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1264,f1337,f1342,f407,f1839,f1812]) ).

fof(f1279,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f1206]) ).

fof(f1881,plain,
    ( spl5_17
    | ~ spl5_19
    | ~ spl5_20 ),
    inference(avatar_contradiction_clause,[],[f1880]) ).

fof(f1880,plain,
    ( $false
    | spl5_17
    | ~ spl5_19
    | ~ spl5_20 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1207,f243,f1254,f1255,f1260,f1261,f1258,f1259,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1264,f1337,f1342,f407,f1839,f1812]) ).

fof(f1879,plain,
    ( spl5_26
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_25 ),
    inference(avatar_split_clause,[],[f1878,f1578,f1267,f1263,f1184,f600,f596,f1582]) ).

fof(f1878,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | p(ap(sK1,X0)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_25 ),
    inference(subsumption_resolution,[],[f1877,f96]) ).

fof(f1877,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | p(ap(sK1,X0))
        | ~ ne(sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_25 ),
    inference(subsumption_resolution,[],[f1876,f97]) ).

fof(f1876,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | p(ap(sK1,X0))
        | ~ mem(sK1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_25 ),
    inference(resolution,[],[f1875,f115]) ).

fof(f1875,plain,
    ( p(ap(c_2Ebool_2E_21(sK0),sK1))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_25 ),
    inference(subsumption_resolution,[],[f1874,f96]) ).

fof(f1874,plain,
    ( p(ap(c_2Ebool_2E_21(sK0),sK1))
    | ~ ne(sK0)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_25 ),
    inference(subsumption_resolution,[],[f1873,f97]) ).

fof(f1873,plain,
    ( p(ap(c_2Ebool_2E_21(sK0),sK1))
    | ~ mem(sK1,arr(sK0,bool))
    | ~ ne(sK0)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_25 ),
    inference(subsumption_resolution,[],[f1869,f1265]) ).

fof(f1869,plain,
    ( ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | p(ap(c_2Ebool_2E_21(sK0),sK1))
    | ~ mem(sK1,arr(sK0,bool))
    | ~ ne(sK0)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_25 ),
    inference(superposition,[],[f117,f1845]) ).

fof(f1845,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(sK1,sK2(sK0,sK1))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_25 ),
    inference(resolution,[],[f1843,f1580]) ).

fof(f1843,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_18 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f598,f682,f683,f686,f688,f690,f692,f693,f694,f695,f696,f632,f594,f142,f685,f697,f631,f724,f687,f689,f691,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f684,f1186,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f1270,f1274,f1275,f1276,f1277,f1278,f1287,f1288,f1289,f1286,f190,f1299,f1300,f1301,f1303,f1310,f1309,f1308,f1304,f1314,f1313,f1318,f1319,f1320,f1321,f1322,f1330,f1331,f1332,f1302,f191,f1344,f1345,f1346,f1347,f1315,f1361,f1360,f1359,f1316,f1366,f1364,f1365,f1367,f1368,f1370,f1371,f1372,f1373,f1374,f1384,f1385,f1386,f1387,f1382,f1395,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1678,f1679,f1680,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1677,f1272,f1271,f1279,f1265,f1793,f407,f1839,f1268]) ).

fof(f1793,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f407,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f598,f682,f683,f686,f688,f690,f692,f693,f694,f695,f696,f632,f594,f142,f685,f697,f631,f724,f687,f689,f691,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f684,f1186,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f1265,f1270,f1274,f1275,f1276,f1277,f1278,f1287,f1288,f1289,f1286,f190,f1299,f1300,f1301,f1303,f1310,f1309,f1308,f1304,f1314,f1313,f1318,f1319,f1320,f1321,f1322,f1330,f1331,f1332,f1302,f191,f1344,f1345,f1346,f1347,f1315,f1361,f1360,f1359,f1316,f1366,f1364,f1365,f1367,f1368,f1370,f1371,f1372,f1373,f1374,f1384,f1385,f1386,f1387,f1382,f1395,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1678,f1679,f1680,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1677,f1272,f1271,f1279]) ).

fof(f1271,plain,
    ( ! [X0] :
        ( ~ p(ap(sK1,X0))
        | ap(sK1,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f164]) ).

fof(f1677,plain,
    ( ! [X0] :
        ( c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK4(bool,X0,c_2Emin_2E_3D(bool))
        | ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool))) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(subsumption_resolution,[],[f1623,f100]) ).

fof(f1623,plain,
    ( ! [X0] :
        ( c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | ~ ne(bool)
        | sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK4(bool,X0,c_2Emin_2E_3D(bool))
        | ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool))) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f528,f1270]) ).

fof(f1680,plain,
    ( ! [X0] :
        ( c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))))
        | ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool))) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1625,f100]) ).

fof(f1625,plain,
    ( ! [X0] :
        ( c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | ~ ne(bool)
        | sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool))))
        | ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool))) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f528,f1365]) ).

fof(f1679,plain,
    ( ! [X0] :
        ( c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))
        | p(sK4(bool,X0,c_2Emin_2E_3D(bool))) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1624,f100]) ).

fof(f1624,plain,
    ( ! [X0] :
        ( c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | ~ ne(bool)
        | sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Emin_2E_3D(bool)))
        | p(sK4(bool,X0,c_2Emin_2E_3D(bool))) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f528,f1313]) ).

fof(f1678,plain,
    ( ! [X0] :
        ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = sK4(bool,X0,c_2Emin_2E_3D(bool))
        | c_2Emin_2E_3D(bool) = X0
        | ~ mem(X0,arr(bool,arr(bool,bool)))
        | ~ p(sK4(bool,X0,c_2Emin_2E_3D(bool))) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(forward_demodulation,[],[f1677,f1286]) ).

fof(f1395,plain,
    ( ~ p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)),bool)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1394,f1265]) ).

fof(f1394,plain,
    ( ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ p(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)),bool)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(superposition,[],[f125,f1382]) ).

fof(f1382,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1375,f1265]) ).

fof(f1375,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f1206]) ).

fof(f1387,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1381,f100]) ).

fof(f1381,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f122]) ).

fof(f1386,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,X0))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1380,f100]) ).

fof(f1380,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(bool,X0))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f116]) ).

fof(f1385,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1379,f100]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f172]) ).

fof(f1384,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(forward_demodulation,[],[f1383,f1286]) ).

fof(f1383,plain,
    ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1376,f1186]) ).

fof(f1376,plain,
    ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f598]) ).

fof(f1374,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(sK4(bool,X0,c_2Ebool_2E_7E))
        | c_2Ebool_2E_7E = X0
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f523]) ).

fof(f1373,plain,
    ( ! [X2,X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X0),X1),X2))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
        | ~ ne(X0)
        | ~ mem(X2,X0)
        | ~ mem(X1,X0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f197]) ).

fof(f1372,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X0),X1))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f184]) ).

fof(f1371,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f181]) ).

fof(f1370,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X0),X1))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(ap(c_2Ebool_2E_21(X0),X1))
        | ~ mem(X1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f166]) ).

fof(f1368,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f165]) ).

fof(f1367,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,X0))) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(ap(sK1,X0))
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1365,f164]) ).

fof(f1365,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ p(X0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(duplicate_literal_removal,[],[f1363]) ).

fof(f1363,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,bool)
        | ~ p(X0)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1316,f125]) ).

fof(f1364,plain,
    ( ! [X0] :
        ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK2(X0,c_2Ebool_2E_7E)))
        | ~ mem(sK2(X0,c_2Ebool_2E_7E),bool)
        | p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_7E))
        | ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1316,f117]) ).

fof(f1366,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(duplicate_literal_removal,[],[f1362]) ).

fof(f1362,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1316,f1304]) ).

fof(f1316,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f165]) ).

fof(f1359,plain,
    ( ! [X0] :
        ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,ap(sK1,sK2(X0,sK1)))
        | ~ mem(sK2(X0,sK1),sK0)
        | p(ap(c_2Ebool_2E_21(X0),sK1))
        | ~ mem(sK1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1315,f117]) ).

fof(f1360,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(sK1,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | ~ p(X1)
        | ap(sK1,X0) = X1
        | ~ mem(X1,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(duplicate_literal_removal,[],[f1358]) ).

fof(f1358,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(sK1,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | ~ mem(X0,sK0)
        | ~ p(X1)
        | ap(sK1,X0) = X1
        | ~ mem(X1,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1315,f173]) ).

fof(f1361,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(sK1,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(duplicate_literal_removal,[],[f1357]) ).

fof(f1357,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(sK1,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1315,f1303]) ).

fof(f1315,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | ap(c_2Ebool_2E_7E,ap(sK1,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f164]) ).

fof(f1332,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1329,f100]) ).

fof(f1329,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,sK3(bool,X0,X1)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f122]) ).

fof(f1331,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,sK2(bool,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1328,f100]) ).

fof(f1328,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,sK2(bool,X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f116]) ).

fof(f1330,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1327,f100]) ).

fof(f1327,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f172]) ).

fof(f1322,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(sK4(bool,X0,c_2Ebool_2E_7E))
        | c_2Ebool_2E_7E = X0
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f523]) ).

fof(f1321,plain,
    ( ! [X2,X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X0),X1),X2)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
        | ~ ne(X0)
        | ~ mem(X2,X0)
        | ~ mem(X1,X0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f197]) ).

fof(f1320,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f184]) ).

fof(f1319,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f181]) ).

fof(f1318,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X0),X1)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(ap(c_2Ebool_2E_21(X0),X1))
        | ~ mem(X1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1313,f166]) ).

fof(f1313,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | p(X0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(duplicate_literal_removal,[],[f1312]) ).

fof(f1312,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1304,f126]) ).

fof(f1314,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,bool)
        | p(ap(sK1,X1))
        | ap(c_2Ebool_2E_7E,X0) = ap(sK1,X1)
        | ~ mem(X1,sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(duplicate_literal_removal,[],[f1311]) ).

fof(f1311,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,bool)
        | p(ap(sK1,X1))
        | ap(c_2Ebool_2E_7E,X0) = ap(sK1,X1)
        | ~ mem(X1,sK0)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1304,f233]) ).

fof(f1304,plain,
    ( ! [X0] :
        ( ~ p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(forward_demodulation,[],[f1272,f1286]) ).

fof(f1308,plain,
    ( ! [X0,X1] :
        ( ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | p(ap(sK1,X1))
        | ap(sK1,X0) = ap(sK1,X1)
        | ~ mem(X1,sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(duplicate_literal_removal,[],[f1307]) ).

fof(f1307,plain,
    ( ! [X0,X1] :
        ( ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | p(ap(sK1,X1))
        | ap(sK1,X0) = ap(sK1,X1)
        | ~ mem(X1,sK0)
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1303,f232]) ).

fof(f1309,plain,
    ( ! [X0,X1] :
        ( ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | p(ap(sK1,X1))
        | ap(sK1,X0) = ap(sK1,X1)
        | ~ mem(X1,sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(duplicate_literal_removal,[],[f1306]) ).

fof(f1306,plain,
    ( ! [X0,X1] :
        ( ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | p(ap(sK1,X1))
        | ap(sK1,X0) = ap(sK1,X1)
        | ~ mem(X0,sK0)
        | ~ mem(X1,sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1303,f232]) ).

fof(f1310,plain,
    ( ! [X0,X1] :
        ( ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | p(ap(c_2Ebool_2E_7E,X1))
        | ap(sK1,X0) = ap(c_2Ebool_2E_7E,X1)
        | ~ mem(X1,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(duplicate_literal_removal,[],[f1305]) ).

fof(f1305,plain,
    ( ! [X0,X1] :
        ( ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0)
        | p(ap(c_2Ebool_2E_7E,X1))
        | ap(sK1,X0) = ap(c_2Ebool_2E_7E,X1)
        | ~ mem(X0,sK0)
        | ~ mem(X1,bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(resolution,[],[f1303,f233]) ).

fof(f1303,plain,
    ( ! [X0] :
        ( ~ p(ap(sK1,X0))
        | ap(sK1,X0) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(forward_demodulation,[],[f1271,f1286]) ).

fof(f1286,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f1279,f1265]) ).

fof(f1289,plain,
    ( ! [X0,X1] :
        ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK3(bool,X0,X1)
        | ~ p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(subsumption_resolution,[],[f1285,f100]) ).

fof(f1285,plain,
    ( ! [X0,X1] :
        ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK3(bool,X0,X1)
        | ~ p(sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f122]) ).

fof(f1288,plain,
    ( ! [X0] :
        ( sK2(bool,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(subsumption_resolution,[],[f1284,f100]) ).

fof(f1284,plain,
    ( ! [X0] :
        ( sK2(bool,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(sK2(bool,X0))
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f116]) ).

fof(f1287,plain,
    ( ! [X0] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(subsumption_resolution,[],[f1283,f100]) ).

fof(f1283,plain,
    ( ! [X0] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f172]) ).

fof(f1278,plain,
    ( ! [X0] :
        ( sK4(bool,X0,c_2Ebool_2E_7E) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(sK4(bool,X0,c_2Ebool_2E_7E))
        | c_2Ebool_2E_7E = X0
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f523]) ).

fof(f1277,plain,
    ( ! [X2,X0,X1] :
        ( ap(ap(c_2Emin_2E_3D(X0),X1),X2) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
        | ~ ne(X0)
        | ~ mem(X2,X0)
        | ~ mem(X1,X0) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f197]) ).

fof(f1276,plain,
    ( ! [X0,X1] :
        ( ap(ap(c_2Ebool_2E_2F_5C,X0),X1) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f184]) ).

fof(f1275,plain,
    ( ! [X0,X1] :
        ( ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f181]) ).

fof(f1274,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_21(X0),X1) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ p(ap(c_2Ebool_2E_21(X0),X1))
        | ~ mem(X1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_1
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f166]) ).

fof(f684,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | ap(sK1,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,sK0) )
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f174]) ).

fof(f691,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))) = X0
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f188]) ).

fof(f689,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))) = X0
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f185]) ).

fof(f687,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))) = X0
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f182]) ).

fof(f697,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(i(bool),sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f135]) ).

fof(f685,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))) = X0
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f179]) ).

fof(f696,plain,
    ( ! [X0] : ap(k(bool,X0),sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = X0
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f136]) ).

fof(f695,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | ~ mem(X0,sK0)
        | p(ap(sK1,X0))
        | ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) )
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f495]) ).

fof(f694,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))))) = X0
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f333]) ).

fof(f693,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))) = X0
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f292]) ).

fof(f692,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))) = X0
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f283]) ).

fof(f690,plain,
    ( ap(c_2Ebool_2E_2F_5C,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f186]) ).

fof(f688,plain,
    ( ap(c_2Emin_2E_3D_3D_3E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f183]) ).

fof(f686,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)) = ap(i(bool),ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f180]) ).

fof(f682,plain,
    ( ! [X0] :
        ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(X0)
        | sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = X0
        | ~ mem(X0,bool) )
    | ~ spl5_1 ),
    inference(resolution,[],[f598,f127]) ).

fof(f1792,plain,
    ( spl5_2
    | spl5_17
    | spl5_24 ),
    inference(avatar_contradiction_clause,[],[f1791]) ).

fof(f1791,plain,
    ( $false
    | spl5_2
    | spl5_17
    | spl5_24 ),
    inference(global_subsumption,[],[f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f407,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f601,f632,f594,f142,f631,f724,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f779,f139,f123,f124,f925,f118,f957,f962,f120,f1100,f1136,f121,f1157,f1155,f527,f1203,f1204,f1205,f189,f1208,f1209,f1210,f1211,f1212,f1206,f1213,f1214,f1217,f1219,f1221,f1223,f1224,f1225,f1226,f1227,f1207,f1216,f1228,f1218,f1220,f243,f1254,f1255,f1260,f1261,f1258,f1259,f1222,f1215,f190,f1299,f1300,f1301,f1302,f191,f1344,f1345,f1346,f1347,f1403,f1408,f244,f1409,f1410,f1411,f1412,f245,f1500,f1501,f1502,f1503,f447,f1570,f1569,f1571,f1572,f1559,f1560,f1563,f1576,f1566,f1567,f1568,f1575,f528,f1607,f1608,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1641,f1642,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1574,f298,f1773,f1772,f1789,f1264]) ).

fof(f1408,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | ~ mem(X0,sK0) )
    | spl5_2
    | spl5_24 ),
    inference(subsumption_resolution,[],[f1406,f1206]) ).

fof(f1406,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | ap(sK1,X0) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
        | ~ mem(X0,sK0)
        | ~ mem(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C),bool) )
    | spl5_24 ),
    inference(resolution,[],[f1403,f233]) ).

fof(f1774,plain,
    ( spl5_28
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(avatar_split_clause,[],[f1770,f1736,f1705,f1401,f1397,f1336,f1263,f1184,f699,f600,f596,f1709]) ).

fof(f1770,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_7E,X0)) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1769,f100]) ).

fof(f1769,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_7E,X0))
        | ~ ne(bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1768,f101]) ).

fof(f1768,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(resolution,[],[f1767,f115]) ).

fof(f1767,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1766,f100]) ).

fof(f1766,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ ne(bool)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1765,f101]) ).

fof(f1765,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
    | ~ ne(bool)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1764,f1265]) ).

fof(f1764,plain,
    ( ~ p(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C))
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
    | ~ ne(bool)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(superposition,[],[f117,f1754]) ).

fof(f1754,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = ap(c_2Ebool_2E_7E,sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(superposition,[],[f1465,f1744]) ).

fof(f1744,plain,
    ( sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) = sK2(bool,c_2Ebool_2E_7E)
    | ~ spl5_5
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27
    | spl5_29 ),
    inference(subsumption_resolution,[],[f1734,f1738]) ).

fof(f1734,plain,
    ( sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) = sK2(bool,c_2Ebool_2E_7E)
    | p(sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_5
    | spl5_19
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27 ),
    inference(forward_demodulation,[],[f1729,f1458]) ).

fof(f1729,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)) = sK2(bool,c_2Ebool_2E_7E)
    | p(sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_23
    | spl5_24
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f1435]) ).

fof(f1465,plain,
    ( ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E)) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17
    | spl5_19
    | ~ spl5_23
    | spl5_24 ),
    inference(superposition,[],[f1382,f1458]) ).

fof(f1743,plain,
    ( ~ spl5_29
    | spl5_30
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_27 ),
    inference(avatar_split_clause,[],[f1733,f1705,f1263,f1184,f600,f596,f1740,f1736]) ).

fof(f1733,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = sK2(bool,c_2Ebool_2E_7E)
    | ~ p(sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17
    | ~ spl5_27 ),
    inference(forward_demodulation,[],[f1726,f1286]) ).

fof(f1726,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK2(bool,c_2Ebool_2E_7E)
    | ~ p(sK2(bool,c_2Ebool_2E_7E))
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_27 ),
    inference(resolution,[],[f1707,f1270]) ).

fof(f1711,plain,
    ( spl5_27
    | spl5_28 ),
    inference(avatar_split_clause,[],[f1574,f1709,f1705]) ).

fof(f1584,plain,
    ( spl5_25
    | spl5_26 ),
    inference(avatar_split_clause,[],[f1575,f1582,f1578]) ).

fof(f1415,plain,
    ( spl5_2
    | spl5_23 ),
    inference(avatar_contradiction_clause,[],[f1414]) ).

fof(f1414,plain,
    ( $false
    | spl5_2
    | spl5_23 ),
    inference(subsumption_resolution,[],[f1413,f1206]) ).

fof(f1413,plain,
    ( ~ mem(sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C),bool)
    | spl5_23 ),
    inference(resolution,[],[f1399,f165]) ).

fof(f1399,plain,
    ( ~ mem(ap(c_2Ebool_2E_7E,sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)),bool)
    | spl5_23 ),
    inference(avatar_component_clause,[],[f1397]) ).

fof(f1404,plain,
    ( ~ spl5_23
    | ~ spl5_24
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(avatar_split_clause,[],[f1395,f1263,f1184,f600,f596,f1401,f1397]) ).

fof(f1356,plain,
    ( ~ spl5_21
    | spl5_22
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_15
    | ~ spl5_17 ),
    inference(avatar_split_clause,[],[f1334,f1263,f1230,f1184,f600,f596,f1353,f1349]) ).

fof(f1349,plain,
    ( spl5_21
  <=> p(sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).

fof(f1353,plain,
    ( spl5_22
  <=> sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).

fof(f1230,plain,
    ( spl5_15
  <=> mem(sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C),bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).

fof(f1334,plain,
    ( sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C) = sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C)
    | ~ p(sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_13
    | ~ spl5_15
    | ~ spl5_17 ),
    inference(forward_demodulation,[],[f1282,f1286]) ).

fof(f1282,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C)
    | ~ p(sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C))
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_15 ),
    inference(resolution,[],[f1270,f1232]) ).

fof(f1232,plain,
    ( mem(sK4(bool,c_2Emin_2E_3D(bool),c_2Ebool_2E_2F_5C),bool)
    | ~ spl5_15 ),
    inference(avatar_component_clause,[],[f1230]) ).

fof(f1343,plain,
    ( ~ spl5_19
    | spl5_20
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(avatar_split_clause,[],[f1333,f1263,f1184,f699,f600,f596,f1340,f1336]) ).

fof(f1333,plain,
    ( sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E) = sK4(bool,c_2Emin_2E_3D_3D_3E,c_2Ebool_2E_2F_5C)
    | ~ p(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | spl5_2
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_17 ),
    inference(forward_demodulation,[],[f1281,f1286]) ).

fof(f1281,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E)
    | ~ p(sK4(bool,c_2Emin_2E_3D(bool),c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | ~ spl5_5
    | ~ spl5_13 ),
    inference(resolution,[],[f1270,f701]) ).

fof(f1269,plain,
    ( spl5_17
    | spl5_18
    | spl5_2 ),
    inference(avatar_split_clause,[],[f1215,f600,f1267,f1263]) ).

fof(f1237,plain,
    ( spl5_15
    | spl5_16 ),
    inference(avatar_split_clause,[],[f1207,f1234,f1230]) ).

fof(f1234,plain,
    ( spl5_16
  <=> c_2Ebool_2E_2F_5C = c_2Emin_2E_3D(bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).

fof(f1190,plain,
    ( spl5_13
    | spl5_14
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f684,f596,f1188,f1184]) ).

fof(f1134,plain,
    ( ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(avatar_contradiction_clause,[],[f1133]) ).

fof(f1133,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(global_subsumption,[],[f121,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f189,f190,f191,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f243,f244,f245,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f298,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f407,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f447,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f527,f528,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f592,f593,f590,f114,f628,f627,f626,f619,f621,f633,f624,f625,f629,f598,f682,f683,f684,f686,f688,f690,f692,f693,f694,f695,f696,f632,f594,f142,f705,f718,f685,f697,f631,f724,f687,f689,f691,f709,f122,f735,f736,f737,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f727,f815,f820,f821,f822,f826,f827,f818,f819,f779,f139,f123,f816,f823,f824,f825,f124,f925,f118,f957,f960,f962,f717,f968,f967,f970,f972,f973,f974,f975,f976,f977,f981,f982,f983,f969,f984,f990,f991,f992,f985,f993,f994,f996,f997,f998,f999,f1000,f1001,f1005,f1006,f1007,f1008,f1010,f1012,f1013,f1014,f1015,f1016,f1021,f1022,f1023,f1009,f1024,f1030,f1031,f1032,f1025,f1033,f1034,f1036,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1041,f1054,f1055,f1056,f1063,f1065,f1067,f1017,f1069,f1071,f1072,f1073,f1074,f1075,f1080,f1081,f1082,f1068,f1083,f1089,f1090,f1091,f120,f1100,f1103,f1105,f1106,f1107,f1109,f1110,f1111,f1112,f1113,f1118,f1119,f1120,f1114,f1131,f1132]) ).

fof(f1132,plain,
    ( ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1127,f598]) ).

fof(f1127,plain,
    ( ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool)
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(duplicate_literal_removal,[],[f1126]) ).

fof(f1126,plain,
    ( ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool)
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(superposition,[],[f125,f1114]) ).

fof(f1131,plain,
    ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1128,f598]) ).

fof(f1128,plain,
    ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool)
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(duplicate_literal_removal,[],[f1125]) ).

fof(f1125,plain,
    ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ mem(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E),bool)
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(superposition,[],[f126,f1114]) ).

fof(f1114,plain,
    ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f598]) ).

fof(f1120,plain,
    ( ! [X0,X1] :
        ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1117,f100]) ).

fof(f1117,plain,
    ( ! [X0,X1] :
        ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(c_2Ebool_2E_7E,sK3(bool,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f122]) ).

fof(f1119,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,sK2(bool,X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1116,f100]) ).

fof(f1116,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,sK2(bool,X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f116]) ).

fof(f1118,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1115,f100]) ).

fof(f1115,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Epred__set_2ECHOICE(bool),X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f172]) ).

fof(f1113,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,sK4(bool,X0,c_2Ebool_2E_7E)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | c_2Ebool_2E_7E = X0
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f523]) ).

fof(f1112,plain,
    ( ! [X2,X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(X0),X1),X2)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ ne(X0)
        | ~ mem(X2,X0)
        | ~ mem(X1,X0) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f197]) ).

fof(f1111,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f184]) ).

fof(f1110,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f181]) ).

fof(f1109,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(X0),X1)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f166]) ).

fof(f1107,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f165]) ).

fof(f1106,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,ap(sK1,X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1105,f164]) ).

fof(f1105,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1034,f1041]) ).

fof(f1103,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Ebool_2EIN(sK0),X0),ap(c_2Epred__set_2EREST(sK0),sK1)))
        | ap(c_2Epred__set_2ECHOICE(sK0),sK1) = X0
        | ~ p(ap(ap(c_2Ebool_2EIN(sK0),X0),sK1))
        | ~ mem(X0,sK0) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1102,f96]) ).

fof(f1102,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Ebool_2EIN(sK0),X0),ap(c_2Epred__set_2EREST(sK0),sK1)))
        | ap(c_2Epred__set_2ECHOICE(sK0),sK1) = X0
        | ~ p(ap(ap(c_2Ebool_2EIN(sK0),X0),sK1))
        | ~ mem(X0,sK0)
        | ~ ne(sK0) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1101,f97]) ).

fof(f1101,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Ebool_2EIN(sK0),X0),ap(c_2Epred__set_2EREST(sK0),sK1)))
        | ap(c_2Epred__set_2ECHOICE(sK0),sK1) = X0
        | ~ p(ap(ap(c_2Ebool_2EIN(sK0),X0),sK1))
        | ~ mem(X0,sK0)
        | ~ mem(sK1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1095,f727]) ).

fof(f1095,plain,
    ! [X0] :
      ( p(ap(ap(c_2Ebool_2EIN(sK0),X0),ap(c_2Epred__set_2EREST(sK0),sK1)))
      | ap(c_2Epred__set_2ECHOICE(sK0),sK1) = X0
      | ~ p(ap(ap(c_2Ebool_2EIN(sK0),X0),sK1))
      | ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0)
      | ~ mem(X0,sK0)
      | ~ mem(sK1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(superposition,[],[f120,f632]) ).

fof(f1091,plain,
    ( ! [X0,X1] :
        ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(sK1,sK3(sK0,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
        | ~ mem(X1,arr(sK0,bool))
        | ~ mem(X0,arr(sK0,bool)) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1088,f96]) ).

fof(f1088,plain,
    ( ! [X0,X1] :
        ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = ap(sK1,sK3(sK0,X0,X1))
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X0),X1))
        | ~ mem(X1,arr(sK0,bool))
        | ~ mem(X0,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1068,f122]) ).

fof(f1090,plain,
    ( ! [X0] :
        ( ap(sK1,sK2(sK0,X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(ap(c_2Ebool_2E_21(sK0),X0))
        | ~ mem(X0,arr(sK0,bool)) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1087,f96]) ).

fof(f1087,plain,
    ( ! [X0] :
        ( ap(sK1,sK2(sK0,X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(ap(c_2Ebool_2E_21(sK0),X0))
        | ~ mem(X0,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1068,f116]) ).

fof(f1089,plain,
    ( ! [X0] :
        ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,arr(sK0,bool)) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1086,f96]) ).

fof(f1086,plain,
    ( ! [X0] :
        ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X0)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1068,f172]) ).

fof(f1083,plain,
    ( ! [X0] :
        ( ap(sK1,sK4(sK0,X0,sK1)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | sK1 = X0
        | ~ mem(X0,arr(sK0,bool)) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1068,f525]) ).

fof(f1068,plain,
    ( ! [X0] :
        ( ~ mem(X0,sK0)
        | ap(sK1,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f164]) ).

fof(f1082,plain,
    ( ! [X0,X1] :
        ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK3(bool,X0,X1)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1079,f100]) ).

fof(f1079,plain,
    ( ! [X0,X1] :
        ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = sK3(bool,X0,X1)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f122]) ).

fof(f1081,plain,
    ( ! [X0] :
        ( sK2(bool,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1078,f100]) ).

fof(f1078,plain,
    ( ! [X0] :
        ( sK2(bool,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f116]) ).

fof(f1080,plain,
    ( ! [X0] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1077,f100]) ).

fof(f1077,plain,
    ( ! [X0] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f172]) ).

fof(f1075,plain,
    ( ! [X0] :
        ( sK4(bool,X0,c_2Ebool_2E_7E) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | c_2Ebool_2E_7E = X0
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f523]) ).

fof(f1074,plain,
    ( ! [X2,X0,X1] :
        ( ap(ap(c_2Emin_2E_3D(X0),X1),X2) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ ne(X0)
        | ~ mem(X2,X0)
        | ~ mem(X1,X0) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f197]) ).

fof(f1073,plain,
    ( ! [X0,X1] :
        ( ap(ap(c_2Ebool_2E_2F_5C,X0),X1) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f184]) ).

fof(f1072,plain,
    ( ! [X0,X1] :
        ( ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f181]) ).

fof(f1071,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_21(X0),X1) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f166]) ).

fof(f1069,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1017,f165]) ).

fof(f1017,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = X0 )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f598]) ).

fof(f1067,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(ap(sK1,X0))
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1066,f1041]) ).

fof(f1066,plain,
    ( ! [X0] :
        ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(ap(sK1,X0))
        | ap(sK1,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1059,f727]) ).

fof(f1059,plain,
    ( ! [X0] :
        ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(ap(sK1,X0))
        | ap(sK1,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,sK0)
        | ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(superposition,[],[f232,f1041]) ).

fof(f1065,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(ap(sK1,X0))
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1064,f1041]) ).

fof(f1064,plain,
    ( ! [X0] :
        ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(ap(sK1,X0))
        | ap(sK1,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1058,f727]) ).

fof(f1058,plain,
    ( ! [X0] :
        ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(ap(sK1,X0))
        | ap(sK1,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0)
        | ~ mem(X0,sK0) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(superposition,[],[f232,f1041]) ).

fof(f1063,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,X0) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
        | p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1062,f1041]) ).

fof(f1062,plain,
    ( ! [X0] :
        ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1057,f727]) ).

fof(f1057,plain,
    ( ! [X0] :
        ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
        | p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0)
        | ~ mem(X0,bool) )
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(superposition,[],[f233,f1041]) ).

fof(f1056,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))))) = X0
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(superposition,[],[f825,f1041]) ).

fof(f1055,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))) = X0
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(superposition,[],[f824,f1041]) ).

fof(f1054,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)))) = X0
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(superposition,[],[f823,f1041]) ).

fof(f1041,plain,
    ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f598]) ).

fof(f1047,plain,
    ( ! [X0,X1] :
        ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK3(bool,X0,X1)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1044,f100]) ).

fof(f1044,plain,
    ( ! [X0,X1] :
        ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK3(bool,X0,X1)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f122]) ).

fof(f1046,plain,
    ( ! [X0] :
        ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK2(bool,X0)
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1043,f100]) ).

fof(f1043,plain,
    ( ! [X0] :
        ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK2(bool,X0)
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f116]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1042,f100]) ).

fof(f1042,plain,
    ( ! [X0] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f172]) ).

fof(f1040,plain,
    ( ! [X0] :
        ( ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK4(bool,X0,c_2Ebool_2E_7E)
        | c_2Ebool_2E_7E = X0
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f523]) ).

fof(f1039,plain,
    ( ! [X2,X0,X1] :
        ( ap(ap(c_2Emin_2E_3D(X0),X1),X2) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ ne(X0)
        | ~ mem(X2,X0)
        | ~ mem(X1,X0) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f197]) ).

fof(f1038,plain,
    ( ! [X0,X1] :
        ( ap(ap(c_2Ebool_2E_2F_5C,X0),X1) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f184]) ).

fof(f1037,plain,
    ( ! [X0,X1] :
        ( ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f181]) ).

fof(f1036,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_21(X0),X1) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f166]) ).

fof(f1034,plain,
    ( ! [X0] :
        ( ap(c_2Ebool_2E_7E,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f165]) ).

fof(f1033,plain,
    ( ! [X0] :
        ( ap(sK1,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,sK0) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1025,f164]) ).

fof(f1025,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = X0 )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f1009,f727]) ).

fof(f1032,plain,
    ( ! [X2,X0,X1] :
        ( ~ mem(X0,bool)
        | ap(sK1,sK3(sK0,X1,X2)) = X0
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X1),X2))
        | ~ mem(X2,arr(sK0,bool))
        | ~ mem(X1,arr(sK0,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1029,f96]) ).

fof(f1029,plain,
    ( ! [X2,X0,X1] :
        ( ~ mem(X0,bool)
        | ap(sK1,sK3(sK0,X1,X2)) = X0
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X1),X2))
        | ~ mem(X2,arr(sK0,bool))
        | ~ mem(X1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1009,f122]) ).

fof(f1031,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | ap(sK1,sK2(sK0,X1)) = X0
        | p(ap(c_2Ebool_2E_21(sK0),X1))
        | ~ mem(X1,arr(sK0,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1028,f96]) ).

fof(f1028,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | ap(sK1,sK2(sK0,X1)) = X0
        | p(ap(c_2Ebool_2E_21(sK0),X1))
        | ~ mem(X1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1009,f116]) ).

fof(f1030,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)) = X0
        | ~ mem(X1,arr(sK0,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1027,f96]) ).

fof(f1027,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)) = X0
        | ~ mem(X1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1009,f172]) ).

fof(f1024,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | ap(sK1,sK4(sK0,X1,sK1)) = X0
        | sK1 = X1
        | ~ mem(X1,arr(sK0,bool)) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1009,f525]) ).

fof(f1009,plain,
    ( ! [X0,X1] :
        ( ~ mem(X1,sK0)
        | ~ mem(X0,bool)
        | ap(sK1,X1) = X0 )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f164]) ).

fof(f1023,plain,
    ( ! [X2,X0,X1] :
        ( sK3(bool,X1,X2) = X0
        | ~ mem(X0,bool)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X1),X2))
        | ~ mem(X2,arr(bool,bool))
        | ~ mem(X1,arr(bool,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1020,f100]) ).

fof(f1020,plain,
    ( ! [X2,X0,X1] :
        ( sK3(bool,X1,X2) = X0
        | ~ mem(X0,bool)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X1),X2))
        | ~ mem(X2,arr(bool,bool))
        | ~ mem(X1,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f122]) ).

fof(f1022,plain,
    ( ! [X0,X1] :
        ( sK2(bool,X1) = X0
        | ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_21(bool),X1))
        | ~ mem(X1,arr(bool,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1019,f100]) ).

fof(f1019,plain,
    ( ! [X0,X1] :
        ( sK2(bool,X1) = X0
        | ~ mem(X0,bool)
        | p(ap(c_2Ebool_2E_21(bool),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f116]) ).

fof(f1021,plain,
    ( ! [X0,X1] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X1) = X0
        | ~ mem(X0,bool)
        | ~ mem(X1,arr(bool,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1018,f100]) ).

fof(f1018,plain,
    ( ! [X0,X1] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X1) = X0
        | ~ mem(X0,bool)
        | ~ mem(X1,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f172]) ).

fof(f1016,plain,
    ( ! [X0,X1] :
        ( sK4(bool,X1,c_2Ebool_2E_7E) = X0
        | ~ mem(X0,bool)
        | c_2Ebool_2E_7E = X1
        | ~ mem(X1,arr(bool,bool)) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f523]) ).

fof(f1015,plain,
    ( ! [X2,X3,X0,X1] :
        ( ap(ap(c_2Emin_2E_3D(X1),X2),X3) = X0
        | ~ mem(X0,bool)
        | ~ ne(X1)
        | ~ mem(X3,X1)
        | ~ mem(X2,X1) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f197]) ).

fof(f1014,plain,
    ( ! [X2,X0,X1] :
        ( ap(ap(c_2Ebool_2E_2F_5C,X1),X2) = X0
        | ~ mem(X0,bool)
        | ~ mem(X2,bool)
        | ~ mem(X1,bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f184]) ).

fof(f1013,plain,
    ( ! [X2,X0,X1] :
        ( ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2) = X0
        | ~ mem(X0,bool)
        | ~ mem(X2,bool)
        | ~ mem(X1,bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f181]) ).

fof(f1012,plain,
    ( ! [X2,X0,X1] :
        ( ap(c_2Ebool_2E_21(X1),X2) = X0
        | ~ mem(X0,bool)
        | ~ mem(X2,arr(X1,bool))
        | ~ ne(X1) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f166]) ).

fof(f1010,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,X1) = X0
        | ~ mem(X0,bool)
        | ~ mem(X1,bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f1008,f165]) ).

fof(f1008,plain,
    ( ! [X0,X1] :
        ( ~ mem(X1,bool)
        | X0 = X1
        | ~ mem(X0,bool) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f968,f967]) ).

fof(f1007,plain,
    ( ! [X0,X1] :
        ( p(sK3(bool,X0,X1))
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK3(bool,X0,X1)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1004,f100]) ).

fof(f1004,plain,
    ( ! [X0,X1] :
        ( p(sK3(bool,X0,X1))
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK3(bool,X0,X1)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X0),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f122]) ).

fof(f1006,plain,
    ( ! [X0] :
        ( p(sK2(bool,X0))
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK2(bool,X0)
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1003,f100]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( p(sK2(bool,X0))
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK2(bool,X0)
        | p(ap(c_2Ebool_2E_21(bool),X0))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f116]) ).

fof(f1005,plain,
    ( ! [X0] :
        ( p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ap(c_2Epred__set_2ECHOICE(bool),X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1002,f100]) ).

fof(f1002,plain,
    ( ! [X0] :
        ( p(ap(c_2Epred__set_2ECHOICE(bool),X0))
        | ap(c_2Epred__set_2ECHOICE(bool),X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f172]) ).

fof(f1001,plain,
    ( p(sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E))
    | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E)
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f598]) ).

fof(f1000,plain,
    ( ! [X0] :
        ( p(sK4(bool,X0,c_2Ebool_2E_7E))
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = sK4(bool,X0,c_2Ebool_2E_7E)
        | c_2Ebool_2E_7E = X0
        | ~ mem(X0,arr(bool,bool)) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f523]) ).

fof(f999,plain,
    ( ! [X2,X0,X1] :
        ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
        | ap(ap(c_2Emin_2E_3D(X0),X1),X2) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ ne(X0)
        | ~ mem(X2,X0)
        | ~ mem(X1,X0) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f197]) ).

fof(f998,plain,
    ( ! [X0,X1] :
        ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
        | ap(ap(c_2Ebool_2E_2F_5C,X0),X1) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f184]) ).

fof(f997,plain,
    ( ! [X0,X1] :
        ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
        | ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f181]) ).

fof(f996,plain,
    ( ! [X0,X1] :
        ( p(ap(c_2Ebool_2E_21(X0),X1))
        | ap(c_2Ebool_2E_21(X0),X1) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X1,arr(X0,bool))
        | ~ ne(X0) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f166]) ).

fof(f994,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,X0))
        | ap(c_2Ebool_2E_7E,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,bool) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f165]) ).

fof(f993,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | ap(sK1,X0) = ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))
        | ~ mem(X0,sK0) )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f985,f164]) ).

fof(f985,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(X0)
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = X0 )
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(resolution,[],[f969,f727]) ).

fof(f992,plain,
    ( ! [X2,X0,X1] :
        ( ~ mem(X0,bool)
        | p(X0)
        | ap(sK1,sK3(sK0,X1,X2)) = X0
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X1),X2))
        | ~ mem(X2,arr(sK0,bool))
        | ~ mem(X1,arr(sK0,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f989,f96]) ).

fof(f989,plain,
    ( ! [X2,X0,X1] :
        ( ~ mem(X0,bool)
        | p(X0)
        | ap(sK1,sK3(sK0,X1,X2)) = X0
        | p(ap(ap(c_2Epred__set_2ESUBSET(sK0),X1),X2))
        | ~ mem(X2,arr(sK0,bool))
        | ~ mem(X1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_6 ),
    inference(resolution,[],[f969,f122]) ).

fof(f991,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | p(X0)
        | ap(sK1,sK2(sK0,X1)) = X0
        | p(ap(c_2Ebool_2E_21(sK0),X1))
        | ~ mem(X1,arr(sK0,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f988,f96]) ).

fof(f988,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | p(X0)
        | ap(sK1,sK2(sK0,X1)) = X0
        | p(ap(c_2Ebool_2E_21(sK0),X1))
        | ~ mem(X1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_6 ),
    inference(resolution,[],[f969,f116]) ).

fof(f990,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | p(X0)
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)) = X0
        | ~ mem(X1,arr(sK0,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f987,f96]) ).

fof(f987,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | p(X0)
        | ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),X1)) = X0
        | ~ mem(X1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_6 ),
    inference(resolution,[],[f969,f172]) ).

fof(f984,plain,
    ( ! [X0,X1] :
        ( ~ mem(X0,bool)
        | p(X0)
        | ap(sK1,sK4(sK0,X1,sK1)) = X0
        | sK1 = X1
        | ~ mem(X1,arr(sK0,bool)) )
    | ~ spl5_6 ),
    inference(resolution,[],[f969,f525]) ).

fof(f969,plain,
    ( ! [X0,X1] :
        ( ~ mem(X1,sK0)
        | ~ mem(X0,bool)
        | p(X0)
        | ap(sK1,X1) = X0 )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f164]) ).

fof(f983,plain,
    ( ! [X2,X0,X1] :
        ( sK3(bool,X1,X2) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X1),X2))
        | ~ mem(X2,arr(bool,bool))
        | ~ mem(X1,arr(bool,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f980,f100]) ).

fof(f980,plain,
    ( ! [X2,X0,X1] :
        ( sK3(bool,X1,X2) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | p(ap(ap(c_2Epred__set_2ESUBSET(bool),X1),X2))
        | ~ mem(X2,arr(bool,bool))
        | ~ mem(X1,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f122]) ).

fof(f982,plain,
    ( ! [X0,X1] :
        ( sK2(bool,X1) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | p(ap(c_2Ebool_2E_21(bool),X1))
        | ~ mem(X1,arr(bool,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f979,f100]) ).

fof(f979,plain,
    ( ! [X0,X1] :
        ( sK2(bool,X1) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | p(ap(c_2Ebool_2E_21(bool),X1))
        | ~ mem(X1,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f116]) ).

fof(f981,plain,
    ( ! [X0,X1] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X1) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X1,arr(bool,bool)) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f978,f100]) ).

fof(f978,plain,
    ( ! [X0,X1] :
        ( ap(c_2Epred__set_2ECHOICE(bool),X1) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X1,arr(bool,bool))
        | ~ ne(bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f172]) ).

fof(f977,plain,
    ( ! [X0] :
        ( sK4(bool,c_2Ebool_2E_2F_5C,c_2Emin_2E_3D_3D_3E) = X0
        | ~ mem(X0,bool)
        | p(X0) )
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f598]) ).

fof(f976,plain,
    ( ! [X0,X1] :
        ( sK4(bool,X1,c_2Ebool_2E_7E) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | c_2Ebool_2E_7E = X1
        | ~ mem(X1,arr(bool,bool)) )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f523]) ).

fof(f975,plain,
    ( ! [X2,X3,X0,X1] :
        ( ap(ap(c_2Emin_2E_3D(X1),X2),X3) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | ~ ne(X1)
        | ~ mem(X3,X1)
        | ~ mem(X2,X1) )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f197]) ).

fof(f974,plain,
    ( ! [X2,X0,X1] :
        ( ap(ap(c_2Ebool_2E_2F_5C,X1),X2) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X2,bool)
        | ~ mem(X1,bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f184]) ).

fof(f973,plain,
    ( ! [X2,X0,X1] :
        ( ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X2,bool)
        | ~ mem(X1,bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f181]) ).

fof(f972,plain,
    ( ! [X2,X0,X1] :
        ( ap(c_2Ebool_2E_21(X1),X2) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X2,arr(X1,bool))
        | ~ ne(X1) )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f166]) ).

fof(f970,plain,
    ( ! [X0,X1] :
        ( ap(c_2Ebool_2E_7E,X1) = X0
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X1,bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f967,f165]) ).

fof(f967,plain,
    ( ! [X0,X1] :
        ( ~ mem(X1,bool)
        | X0 = X1
        | ~ mem(X0,bool)
        | p(X0) )
    | ~ spl5_6 ),
    inference(duplicate_literal_removal,[],[f964]) ).

fof(f964,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ mem(X1,bool)
        | ~ mem(X0,bool)
        | p(X0)
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f717,f133]) ).

fof(f968,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ mem(X1,bool)
        | ~ mem(X0,bool)
        | ~ p(X1) )
    | ~ spl5_6 ),
    inference(duplicate_literal_removal,[],[f963]) ).

fof(f963,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ mem(X1,bool)
        | ~ mem(X0,bool)
        | ~ p(X1)
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_6 ),
    inference(resolution,[],[f717,f134]) ).

fof(f717,plain,
    ( ! [X0,X1] :
        ( ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
        | X0 = X1
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f713,f100]) ).

fof(f713,plain,
    ( ! [X0,X1] :
        ( ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
        | X0 = X1
        | ~ mem(X1,bool)
        | ~ mem(X0,bool)
        | ~ ne(bool) )
    | ~ spl5_6 ),
    inference(superposition,[],[f112,f705]) ).

fof(f960,plain,
    ( ! [X0] :
        ( ~ p(ap(ap(c_2Ebool_2EIN(sK0),X0),ap(c_2Epred__set_2EREST(sK0),sK1)))
        | p(ap(ap(c_2Ebool_2EIN(sK0),X0),sK1))
        | ~ mem(X0,sK0) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f959,f96]) ).

fof(f959,plain,
    ( ! [X0] :
        ( ~ p(ap(ap(c_2Ebool_2EIN(sK0),X0),ap(c_2Epred__set_2EREST(sK0),sK1)))
        | p(ap(ap(c_2Ebool_2EIN(sK0),X0),sK1))
        | ~ mem(X0,sK0)
        | ~ ne(sK0) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f958,f97]) ).

fof(f958,plain,
    ( ! [X0] :
        ( ~ p(ap(ap(c_2Ebool_2EIN(sK0),X0),ap(c_2Epred__set_2EREST(sK0),sK1)))
        | p(ap(ap(c_2Ebool_2EIN(sK0),X0),sK1))
        | ~ mem(X0,sK0)
        | ~ mem(sK1,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f954,f727]) ).

fof(f954,plain,
    ! [X0] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(sK0),X0),ap(c_2Epred__set_2EREST(sK0),sK1)))
      | p(ap(ap(c_2Ebool_2EIN(sK0),X0),sK1))
      | ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0)
      | ~ mem(X0,sK0)
      | ~ mem(sK1,arr(sK0,bool))
      | ~ ne(sK0) ),
    inference(superposition,[],[f118,f632]) ).

fof(f825,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)))))) = X0
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f462]) ).

fof(f824,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))))) = X0
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f448]) ).

fof(f823,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Emin_2E_3D_3D_3E,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))))) = X0
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f432]) ).

fof(f816,plain,
    ( ! [X0] : ap(k(bool,X0),ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),ap(c_2Epred__set_2ECHOICE(sK0),sK1))))) = X0
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f242]) ).

fof(f819,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))))) = X0
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f332]) ).

fof(f818,plain,
    ( ! [X0] : ap(k(arr(bool,bool),X0),ap(c_2Ebool_2E_2F_5C,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1)))) = X0
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f291]) ).

fof(f827,plain,
    ( ap(c_2Epred__set_2ECHOICE(sK0),sK1) = ap(i(sK0),ap(c_2Epred__set_2ECHOICE(sK0),sK1))
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f135]) ).

fof(f826,plain,
    ( ! [X0] : ap(k(sK0,X0),ap(c_2Epred__set_2ECHOICE(sK0),sK1)) = X0
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f136]) ).

fof(f822,plain,
    ( ap(c_2Ebool_2E_2F_5C,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))) = ap(i(arr(bool,bool)),ap(c_2Ebool_2E_2F_5C,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))))
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f373]) ).

fof(f821,plain,
    ( ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))) = ap(i(arr(bool,bool)),ap(c_2Emin_2E_3D_3D_3E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))))
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f360]) ).

fof(f820,plain,
    ( ! [X0] : ap(k(bool,X0),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),ap(c_2Emin_2E_3D(sK0),ap(c_2Epred__set_2ECHOICE(sK0),sK1)))))) = X0
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f349]) ).

fof(f815,plain,
    ( ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))) = ap(i(bool),ap(c_2Ebool_2E_7E,ap(sK1,ap(c_2Epred__set_2ECHOICE(sK0),sK1))))
    | ~ spl5_7 ),
    inference(resolution,[],[f727,f215]) ).

fof(f718,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X0))
        | ~ mem(X0,bool) )
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f715,f100]) ).

fof(f715,plain,
    ( ! [X0] :
        ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X0))
        | ~ mem(X0,bool)
        | ~ ne(bool) )
    | ~ spl5_6 ),
    inference(superposition,[],[f143,f705]) ).

fof(f705,plain,
    ( c_2Emin_2E_3D_3D_3E = c_2Emin_2E_3D(bool)
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f703,plain,
    ( spl5_6
  <=> c_2Emin_2E_3D_3D_3E = c_2Emin_2E_3D(bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f914,plain,
    ( spl5_11
    | spl5_12
    | ~ spl5_9 ),
    inference(avatar_split_clause,[],[f847,f829,f911,f908]) ).

fof(f908,plain,
    ( spl5_11
  <=> ! [X0] : ap(k(sK0,X0),sK4(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).

fof(f911,plain,
    ( spl5_12
  <=> sK1 = ap(c_2Epred__set_2EREST(sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).

fof(f847,plain,
    ( ! [X0] :
        ( sK1 = ap(c_2Epred__set_2EREST(sK0),sK1)
        | ap(k(sK0,X0),sK4(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)) = X0 )
    | ~ spl5_9 ),
    inference(resolution,[],[f830,f550]) ).

fof(f840,plain,
    spl5_9,
    inference(avatar_contradiction_clause,[],[f839]) ).

fof(f839,plain,
    ( $false
    | spl5_9 ),
    inference(subsumption_resolution,[],[f838,f96]) ).

fof(f838,plain,
    ( ~ ne(sK0)
    | spl5_9 ),
    inference(subsumption_resolution,[],[f837,f97]) ).

fof(f837,plain,
    ( ~ mem(sK1,arr(sK0,bool))
    | ~ ne(sK0)
    | spl5_9 ),
    inference(resolution,[],[f831,f171]) ).

fof(f831,plain,
    ( ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
    | spl5_9 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f836,plain,
    ( ~ spl5_9
    | spl5_10 ),
    inference(avatar_split_clause,[],[f779,f833,f829]) ).

fof(f833,plain,
    ( spl5_10
  <=> mem(sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).

fof(f811,plain,
    spl5_7,
    inference(avatar_contradiction_clause,[],[f810]) ).

fof(f810,plain,
    ( $false
    | spl5_7 ),
    inference(subsumption_resolution,[],[f809,f96]) ).

fof(f809,plain,
    ( ~ ne(sK0)
    | spl5_7 ),
    inference(subsumption_resolution,[],[f808,f97]) ).

fof(f808,plain,
    ( ~ mem(sK1,arr(sK0,bool))
    | ~ ne(sK0)
    | spl5_7 ),
    inference(resolution,[],[f728,f172]) ).

fof(f728,plain,
    ( ~ mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0)
    | spl5_7 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f733,plain,
    ( ~ spl5_7
    | ~ spl5_8 ),
    inference(avatar_split_clause,[],[f709,f730,f726]) ).

fof(f730,plain,
    ( spl5_8
  <=> p(ap(ap(c_2Ebool_2EIN(sK0),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),ap(c_2Epred__set_2EREST(sK0),sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

fof(f706,plain,
    ( spl5_5
    | spl5_6 ),
    inference(avatar_split_clause,[],[f594,f703,f699]) ).

fof(f681,plain,
    ( spl5_3
    | ~ spl5_4 ),
    inference(avatar_split_clause,[],[f675,f638,f635]) ).

fof(f675,plain,
    ( ! [X0] : ~ mem(X0,bool)
    | ~ spl5_4 ),
    inference(global_subsumption,[],[f120,f142,f118,f124,f123,f122,f121,f139,f96,f99,f100,f97,f101,f102,f103,f98,f111,f125,f126,f135,f146,f104,f147,f105,f106,f136,f153,f154,f148,f149,f156,f157,f107,f108,f143,f127,f128,f137,f164,f165,f177,f178,f175,f167,f168,f176,f179,f109,f189,f190,f191,f187,f166,f192,f193,f194,f195,f196,f169,f198,f199,f172,f200,f201,f209,f210,f211,f205,f180,f216,f217,f219,f181,f220,f221,f222,f223,f224,f225,f184,f226,f227,f228,f229,f230,f231,f173,f174,f234,f235,f236,f238,f214,f241,f240,f110,f243,f244,f245,f215,f247,f242,f249,f129,f130,f133,f134,f150,f252,f253,f250,f251,f151,f256,f131,f257,f254,f255,f152,f264,f265,f262,f263,f155,f268,f269,f266,f267,f132,f158,f276,f277,f274,f275,f159,f280,f281,f278,f279,f182,f284,f285,f286,f288,f282,f185,f293,f294,f295,f297,f116,f298,f299,f315,f316,f317,f318,f319,f320,f321,f307,f308,f322,f323,f324,f325,f326,f291,f330,f331,f188,f334,f335,f336,f339,f340,f332,f343,f344,f212,f347,f348,f346,f170,f350,f351,f352,f171,f353,f358,f356,f357,f183,f361,f362,f363,f364,f367,f368,f360,f371,f372,f186,f374,f375,f376,f377,f380,f381,f373,f384,f385,f112,f359,f393,f394,f391,f392,f390,f349,f397,f398,f160,f401,f402,f399,f400,f161,f405,f406,f403,f404,f117,f407,f408,f409,f410,f411,f162,f414,f415,f412,f413,f163,f418,f419,f416,f417,f197,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f283,f433,f434,f435,f436,f437,f440,f441,f432,f444,f445,f115,f447,f292,f449,f450,f451,f452,f453,f456,f457,f448,f460,f461,f333,f463,f464,f465,f466,f467,f470,f471,f462,f474,f475,f213,f481,f482,f479,f480,f478,f232,f490,f484,f489,f486,f233,f496,f492,f494,f495,f497,f498,f499,f500,f501,f502,f505,f506,f327,f510,f508,f290,f516,f517,f514,f515,f138,f518,f519,f520,f521,f522,f524,f527,f528,f529,f530,f531,f532,f533,f534,f535,f525,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f513,f550,f557,f558,f555,f556,f523,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f551,f580,f581,f578,f579,f536,f587,f588,f585,f586,f526,f594,f592,f593,f590,f114,f628,f627,f626,f619,f631,f621,f632,f633,f624,f625,f639,f666,f667]) ).

fof(f667,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(X0,bool) )
    | ~ spl5_4 ),
    inference(resolution,[],[f639,f165]) ).

fof(f666,plain,
    ( ! [X0] :
        ( p(ap(sK1,X0))
        | ~ mem(X0,sK0) )
    | ~ spl5_4 ),
    inference(resolution,[],[f639,f164]) ).

fof(f639,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | p(X0) )
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f664,plain,
    ~ spl5_3,
    inference(avatar_contradiction_clause,[],[f661]) ).

fof(f661,plain,
    ( $false
    | ~ spl5_3 ),
    inference(resolution,[],[f656,f97]) ).

fof(f656,plain,
    ( ! [X0] : ~ mem(X0,arr(sK0,bool))
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f654,f96]) ).

fof(f654,plain,
    ( ! [X0] :
        ( ~ mem(X0,arr(sK0,bool))
        | ~ ne(sK0) )
    | ~ spl5_3 ),
    inference(resolution,[],[f641,f172]) ).

fof(f641,plain,
    ( ! [X0] : ~ mem(X0,sK0)
    | ~ spl5_3 ),
    inference(resolution,[],[f636,f164]) ).

fof(f636,plain,
    ( ! [X1] : ~ mem(X1,bool)
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f640,plain,
    ( spl5_3
    | spl5_4
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f612,f600,f638,f635]) ).

fof(f612,plain,
    ( ! [X0,X1] :
        ( p(X0)
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f605,f133]) ).

fof(f605,plain,
    ( ! [X0,X1] :
        ( ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
        | p(X0)
        | ~ mem(X1,bool)
        | ~ mem(X0,bool) )
    | ~ spl5_2 ),
    inference(superposition,[],[f129,f602]) ).

fof(f602,plain,
    ( c_2Emin_2E_3D_3D_3E = c_2Ebool_2E_2F_5C
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f603,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f590,f600,f596]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ITP004+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 16:45:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (25406)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (25409)WARNING: value z3 for option sas not known
% 0.14/0.38  % (25407)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (25410)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (25408)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (25409)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (25412)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (25411)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (25413)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.40  TRYING [3]
% 0.14/0.41  TRYING [1]
% 0.21/0.41  TRYING [2]
% 0.21/0.43  TRYING [4]
% 0.21/0.46  TRYING [3]
% 0.21/0.49  TRYING [5]
% 0.21/0.53  TRYING [1]
% 0.21/0.53  TRYING [2]
% 0.21/0.54  TRYING [3]
% 0.21/0.56  TRYING [4]
% 0.21/0.56  TRYING [4]
% 1.75/0.62  TRYING [5]
% 2.01/0.68  TRYING [6]
% 2.51/0.76  TRYING [6]
% 4.10/0.94  % (25409)First to succeed.
% 4.10/0.97  % (25409)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25406"
% 4.10/0.97  % (25409)Refutation found. Thanks to Tanya!
% 4.10/0.97  % SZS status Theorem for theBenchmark
% 4.10/0.97  % SZS output start Proof for theBenchmark
% See solution above
% 4.10/0.98  % (25409)------------------------------
% 4.10/0.98  % (25409)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.10/0.98  % (25409)Termination reason: Refutation
% 4.10/0.98  
% 4.10/0.98  % (25409)Memory used [KB]: 9207
% 4.10/0.98  % (25409)Time elapsed: 0.592 s
% 4.10/0.98  % (25409)Instructions burned: 1757 (million)
% 4.10/0.98  % (25406)Success in time 0.603 s
%------------------------------------------------------------------------------