TSTP Solution File: ITP021+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ITP021+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:23:42 EDT 2022

% Result   : Theorem 3.82s 1.04s
% Output   : Refutation 3.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   57
% Syntax   : Number of formulae    :  380 (  49 unt;   0 def)
%            Number of atoms       : 1124 ( 156 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives : 1280 ( 536   ~; 589   |;  61   &)
%                                         (  38 <=>;  53  =>;   0  <=;   3 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   32 (  30 usr;  28 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  18 con; 0-2 aty)
%            Number of variables   :  212 ( 191   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6082,plain,
    $false,
    inference(avatar_sat_refutation,[],[f516,f517,f518,f796,f1214,f1610,f1668,f1799,f3079,f3097,f3220,f3223,f3241,f3686,f3709,f3724,f3773,f3934,f3939,f3940,f3989,f4131,f4134,f4980,f4996,f5010,f5400,f5417,f5733,f5777,f5791,f5811,f6070,f6078]) ).

fof(f6078,plain,
    ( spl29_8
    | ~ spl29_9
    | spl29_41 ),
    inference(avatar_contradiction_clause,[],[f6077]) ).

fof(f6077,plain,
    ( $false
    | spl29_8
    | ~ spl29_9
    | spl29_41 ),
    inference(subsumption_resolution,[],[f6076,f1208]) ).

fof(f1208,plain,
    ( ~ p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | spl29_8 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f1207,plain,
    ( spl29_8
  <=> p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).

fof(f6076,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ spl29_9
    | spl29_41 ),
    inference(subsumption_resolution,[],[f6075,f330]) ).

fof(f330,plain,
    ne(bool),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ne(bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bool_ne) ).

fof(f6075,plain,
    ( ~ ne(bool)
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ spl29_9
    | spl29_41 ),
    inference(subsumption_resolution,[],[f6074,f464]) ).

fof(f464,plain,
    mem(c_2Ebool_2E_7E,arr(bool,bool)),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    mem(c_2Ebool_2E_7E,arr(bool,bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).

fof(f6074,plain,
    ( ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
    | ~ ne(bool)
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ spl29_9
    | spl29_41 ),
    inference(subsumption_resolution,[],[f4102,f1639]) ).

fof(f1639,plain,
    ( ~ p(sK16(bool,c_2Ebool_2E_7E))
    | spl29_41 ),
    inference(avatar_component_clause,[],[f1638]) ).

fof(f1638,plain,
    ( spl29_41
  <=> p(sK16(bool,c_2Ebool_2E_7E)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_41])]) ).

fof(f4102,plain,
    ( p(sK16(bool,c_2Ebool_2E_7E))
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ ne(bool)
    | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
    | ~ spl29_9 ),
    inference(resolution,[],[f1260,f1213]) ).

fof(f1213,plain,
    ( mem(sK16(bool,c_2Ebool_2E_7E),bool)
    | ~ spl29_9 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f1211,plain,
    ( spl29_9
  <=> mem(sK16(bool,c_2Ebool_2E_7E),bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_9])]) ).

fof(f1260,plain,
    ! [X11] :
      ( ~ mem(sK16(X11,c_2Ebool_2E_7E),bool)
      | ~ ne(X11)
      | p(sK16(X11,c_2Ebool_2E_7E))
      | ~ mem(c_2Ebool_2E_7E,arr(X11,bool))
      | p(ap(c_2Ebool_2E_21(X11),c_2Ebool_2E_7E)) ),
    inference(resolution,[],[f276,f341]) ).

fof(f341,plain,
    ! [X0] :
      ( p(ap(c_2Ebool_2E_7E,X0))
      | p(X0)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ( ( ~ p(X0)
          | ~ p(ap(c_2Ebool_2E_7E,X0)) )
        & ( p(ap(c_2Ebool_2E_7E,X0))
          | p(X0) ) )
      | ~ mem(X0,bool) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ( ~ p(X0)
      <=> p(ap(c_2Ebool_2E_7E,X0)) )
      | ~ mem(X0,bool) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( mem(X0,bool)
     => ( ~ p(X0)
      <=> p(ap(c_2Ebool_2E_7E,X0)) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X4] :
      ( mem(X4,bool)
     => ( p(ap(c_2Ebool_2E_7E,X4))
      <=> ~ p(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_neg_p) ).

fof(f276,plain,
    ! [X0,X1] :
      ( ~ p(ap(X1,sK16(X0,X1)))
      | p(ap(c_2Ebool_2E_21(X0),X1))
      | ~ ne(X0)
      | ~ mem(X1,arr(X0,bool)) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ~ ne(X0)
      | ! [X1] :
          ( ~ mem(X1,arr(X0,bool))
          | ( ( p(ap(c_2Ebool_2E_21(X0),X1))
              | ( mem(sK16(X0,X1),X0)
                & ~ p(ap(X1,sK16(X0,X1))) ) )
            & ( ! [X3] :
                  ( ~ mem(X3,X0)
                  | p(ap(X1,X3)) )
              | ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f190,f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( mem(X2,X0)
          & ~ p(ap(X1,X2)) )
     => ( mem(sK16(X0,X1),X0)
        & ~ p(ap(X1,sK16(X0,X1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f190,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)) ) )
            & ( ! [X3] :
                  ( ~ mem(X3,X0)
                  | p(ap(X1,X3)) )
              | ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) ) ) ),
    inference(rectify,[],[f189]) ).

fof(f189,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)) ) )
            & ( ! [X2] :
                  ( ~ mem(X2,X0)
                  | p(ap(X1,X2)) )
              | ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) ) ) ),
    inference(nnf_transformation,[],[f153]) ).

fof(f153,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(ennf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( mem(X1,arr(X0,bool))
         => ( ! [X2] :
                ( mem(X2,X0)
               => p(ap(X1,X2)) )
          <=> p(ap(c_2Ebool_2E_21(X0),X1)) ) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,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/sandbox2/benchmark/theBenchmark.p',ax_all_p) ).

fof(f6070,plain,
    ( spl29_127
    | ~ spl29_109
    | ~ spl29_120 ),
    inference(avatar_split_clause,[],[f6058,f3128,f3076,f3176]) ).

fof(f3176,plain,
    ( spl29_127
  <=> c_2Ebool_2ET = sF28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_127])]) ).

fof(f3076,plain,
    ( spl29_109
  <=> c_2Ebool_2EF = ap(sF21,sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_109])]) ).

fof(f3128,plain,
    ( spl29_120
  <=> c_2Ebool_2ET = sF22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_120])]) ).

fof(f6058,plain,
    ( c_2Ebool_2ET = sF28
    | ~ spl29_109
    | ~ spl29_120 ),
    inference(forward_demodulation,[],[f6057,f3130]) ).

fof(f3130,plain,
    ( c_2Ebool_2ET = sF22
    | ~ spl29_120 ),
    inference(avatar_component_clause,[],[f3128]) ).

fof(f6057,plain,
    ( sF28 = sF22
    | ~ spl29_109 ),
    inference(forward_demodulation,[],[f6024,f480]) ).

fof(f480,plain,
    sF22 = ap(sF21,sK18),
    introduced(function_definition,[]) ).

fof(f6024,plain,
    ( sF28 = ap(sF21,sK18)
    | ~ spl29_109 ),
    inference(superposition,[],[f486,f6018]) ).

fof(f6018,plain,
    ( sF21 = sF27
    | ~ spl29_109 ),
    inference(forward_demodulation,[],[f5995,f479]) ).

fof(f479,plain,
    sF21 = ap(c_2Eextreal_2Eextreal__le,sK19),
    introduced(function_definition,[]) ).

fof(f5995,plain,
    ( sF27 = ap(c_2Eextreal_2Eextreal__le,sK19)
    | ~ spl29_109 ),
    inference(superposition,[],[f485,f5994]) ).

fof(f5994,plain,
    ( sK19 = sF26
    | ~ spl29_109 ),
    inference(forward_demodulation,[],[f5982,f2018]) ).

fof(f2018,plain,
    sK19 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK20),sK19),
    inference(resolution,[],[f1365,f455]) ).

fof(f455,plain,
    mem(sK20,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f270]) ).

fof(f270,plain,
    ( mem(sK18,ty_2Eextreal_2Eextreal)
    & mem(sK19,ty_2Eextreal_2Eextreal)
    & ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) )
    & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
        & p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18)) )
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) )
    & mem(sK20,ty_2Eextreal_2Eextreal) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f266,f269,f268,f267]) ).

fof(f267,plain,
    ( ? [X0] :
        ( mem(X0,ty_2Eextreal_2Eextreal)
        & ? [X1] :
            ( mem(X1,ty_2Eextreal_2Eextreal)
            & ? [X2] :
                ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                  | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                  | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
                & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                    & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) )
                  | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
                & mem(X2,ty_2Eextreal_2Eextreal) ) ) )
   => ( mem(sK18,ty_2Eextreal_2Eextreal)
      & ? [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
          & ? [X2] :
              ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),sK18)) )
              & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18)) )
                | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),sK18)) )
              & mem(X2,ty_2Eextreal_2Eextreal) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f268,plain,
    ( ? [X1] :
        ( mem(X1,ty_2Eextreal_2Eextreal)
        & ? [X2] :
            ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),sK18)) )
            & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
                & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18)) )
              | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),sK18)) )
            & mem(X2,ty_2Eextreal_2Eextreal) ) )
   => ( mem(sK19,ty_2Eextreal_2Eextreal)
      & ? [X2] :
          ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
            | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
            | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),X2)),sK18)) )
          & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
              & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18)) )
            | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),X2)),sK18)) )
          & mem(X2,ty_2Eextreal_2Eextreal) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f269,plain,
    ( ? [X2] :
        ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
          | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
          | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),X2)),sK18)) )
        & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
            & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18)) )
          | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),X2)),sK18)) )
        & mem(X2,ty_2Eextreal_2Eextreal) )
   => ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
        | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18))
        | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) )
      & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
          & p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18)) )
        | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) )
      & mem(sK20,ty_2Eextreal_2Eextreal) ) ),
    introduced(choice_axiom,[]) ).

fof(f266,plain,
    ? [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
      & ? [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
          & ? [X2] :
              ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
              & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) )
                | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
              & mem(X2,ty_2Eextreal_2Eextreal) ) ) ),
    inference(flattening,[],[f265]) ).

fof(f265,plain,
    ? [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
      & ? [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
          & ? [X2] :
              ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
              & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) )
                | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
              & mem(X2,ty_2Eextreal_2Eextreal) ) ) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,plain,
    ? [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
      & ? [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
          & ? [X2] :
              ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
              <~> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) ) )
              & mem(X2,ty_2Eextreal_2Eextreal) ) ) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,plain,
    ~ ! [X0] :
        ( mem(X0,ty_2Eextreal_2Eextreal)
       => ! [X1] :
            ( mem(X1,ty_2Eextreal_2Eextreal)
           => ! [X2] :
                ( mem(X2,ty_2Eextreal_2Eextreal)
               => ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
                <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                    & p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) ) ) ) ) ),
    inference(rectify,[],[f57]) ).

fof(f57,negated_conjecture,
    ~ ! [X21] :
        ( mem(X21,ty_2Eextreal_2Eextreal)
       => ! [X22] :
            ( mem(X22,ty_2Eextreal_2Eextreal)
           => ! [X23] :
                ( mem(X23,ty_2Eextreal_2Eextreal)
               => ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X22),X23)),X21))
                <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X22),X21))
                    & p(ap(ap(c_2Eextreal_2Eextreal__le,X23),X21)) ) ) ) ) ),
    inference(negated_conjecture,[],[f56]) ).

fof(f56,conjecture,
    ! [X21] :
      ( mem(X21,ty_2Eextreal_2Eextreal)
     => ! [X22] :
          ( mem(X22,ty_2Eextreal_2Eextreal)
         => ! [X23] :
              ( mem(X23,ty_2Eextreal_2Eextreal)
             => ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X22),X23)),X21))
              <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X22),X21))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X23),X21)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Emax__le) ).

fof(f1365,plain,
    ! [X7] :
      ( ~ mem(X7,ty_2Eextreal_2Eextreal)
      | sK19 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X7),sK19) ),
    inference(subsumption_resolution,[],[f1303,f340]) ).

fof(f340,plain,
    ne(ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ne(ty_2Eextreal_2Eextreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ne_ty_2Eextreal_2Eextreal) ).

fof(f1303,plain,
    ! [X7] :
      ( sK19 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X7),sK19)
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X7,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f474,f459]) ).

fof(f459,plain,
    mem(sK19,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f270]) ).

fof(f474,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X2,X0)
      | ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2
      | ~ ne(X0)
      | ~ mem(X1,X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ ne(X0)
      | ! [X1] :
          ( ~ mem(X1,X0)
          | ! [X2] :
              ( ~ mem(X2,X0)
              | ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1
                & ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 ) ) ) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( mem(X1,X0)
         => ! [X2] :
              ( mem(X2,X0)
             => ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1
                & ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 ) ) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X8] :
      ( ne(X8)
     => ! [X9] :
          ( mem(X9,X8)
         => ! [X10] :
              ( mem(X10,X8)
             => ( ap(ap(ap(c_2Ebool_2ECOND(X8),c_2Ebool_2ET),X9),X10) = X9
                & ap(ap(ap(c_2Ebool_2ECOND(X8),c_2Ebool_2EF),X9),X10) = X10 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2ECOND__CLAUSES) ).

fof(f5982,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK20),sK19) = sF26
    | ~ spl29_109 ),
    inference(superposition,[],[f3908,f3078]) ).

fof(f3078,plain,
    ( c_2Ebool_2EF = ap(sF21,sK20)
    | ~ spl29_109 ),
    inference(avatar_component_clause,[],[f3076]) ).

fof(f3908,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(sF21,sK20)),sK20),sK19) = sF26,
    inference(forward_demodulation,[],[f3907,f479]) ).

fof(f3907,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK20)),sK20),sK19) = sF26,
    inference(forward_demodulation,[],[f3906,f484]) ).

fof(f484,plain,
    ap(sF25,sK20) = sF26,
    introduced(function_definition,[]) ).

fof(f3906,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK20)),sK20),sK19) = ap(sF25,sK20),
    inference(forward_demodulation,[],[f3898,f483]) ).

fof(f483,plain,
    ap(c_2Eextreal_2Eextreal__max,sK19) = sF25,
    introduced(function_definition,[]) ).

fof(f3898,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK20)),sK20),sK19) = ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20),
    inference(resolution,[],[f1829,f459]) ).

fof(f1829,plain,
    ! [X9] :
      ( ~ mem(X9,ty_2Eextreal_2Eextreal)
      | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X9),sK20)),sK20),X9) = ap(ap(c_2Eextreal_2Eextreal__max,X9),sK20) ),
    inference(resolution,[],[f336,f455]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ! [X1] :
          ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)
          | ~ mem(X1,ty_2Eextreal_2Eextreal) ) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) ) ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X12] :
      ( mem(X12,ty_2Eextreal_2Eextreal)
     => ! [X13] :
          ( mem(X13,ty_2Eextreal_2Eextreal)
         => ap(ap(c_2Eextreal_2Eextreal__max,X12),X13) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X12),X13)),X13),X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Eextreal_2Eextreal__max__def) ).

fof(f485,plain,
    sF27 = ap(c_2Eextreal_2Eextreal__le,sF26),
    introduced(function_definition,[]) ).

fof(f486,plain,
    sF28 = ap(sF27,sK18),
    introduced(function_definition,[]) ).

fof(f5811,plain,
    ( ~ spl29_108
    | spl29_133 ),
    inference(avatar_contradiction_clause,[],[f5810]) ).

fof(f5810,plain,
    ( $false
    | ~ spl29_108
    | spl29_133 ),
    inference(subsumption_resolution,[],[f5809,f1280]) ).

fof(f1280,plain,
    p(ap(sF23,sK20)),
    inference(subsumption_resolution,[],[f1278,f455]) ).

fof(f1278,plain,
    ( ~ mem(sK20,ty_2Eextreal_2Eextreal)
    | p(ap(sF23,sK20)) ),
    inference(superposition,[],[f1273,f481]) ).

fof(f481,plain,
    sF23 = ap(c_2Eextreal_2Eextreal__le,sK20),
    introduced(function_definition,[]) ).

fof(f1273,plain,
    ! [X0] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(duplicate_literal_removal,[],[f1266]) ).

fof(f1266,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(factoring,[],[f282]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ! [X1] :
          ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
          | ~ mem(X1,ty_2Eextreal_2Eextreal)
          | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
          | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
            | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) ) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X12] :
      ( mem(X12,ty_2Eextreal_2Eextreal)
     => ! [X13] :
          ( mem(X13,ty_2Eextreal_2Eextreal)
         => ( p(ap(ap(c_2Eextreal_2Eextreal__le,X13),X12))
            | p(ap(ap(c_2Eextreal_2Eextreal__le,X12),X13)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__total) ).

fof(f5809,plain,
    ( ~ p(ap(sF23,sK20))
    | ~ spl29_108
    | spl29_133 ),
    inference(forward_demodulation,[],[f3209,f5675]) ).

fof(f5675,plain,
    ( sF23 = sF27
    | ~ spl29_108 ),
    inference(forward_demodulation,[],[f5643,f481]) ).

fof(f5643,plain,
    ( ap(c_2Eextreal_2Eextreal__le,sK20) = sF27
    | ~ spl29_108 ),
    inference(superposition,[],[f485,f5642]) ).

fof(f5642,plain,
    ( sK20 = sF26
    | ~ spl29_108 ),
    inference(forward_demodulation,[],[f5641,f2051]) ).

fof(f2051,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK20),sK19) = sK20,
    inference(resolution,[],[f1538,f455]) ).

fof(f1538,plain,
    ! [X7] :
      ( ~ mem(X7,ty_2Eextreal_2Eextreal)
      | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X7),sK19) = X7 ),
    inference(subsumption_resolution,[],[f1481,f340]) ).

fof(f1481,plain,
    ! [X7] :
      ( ~ ne(ty_2Eextreal_2Eextreal)
      | ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X7),sK19) = X7
      | ~ mem(X7,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f475,f459]) ).

fof(f475,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X2,X0)
      | ~ mem(X1,X0)
      | ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f5641,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK20),sK19) = sF26
    | ~ spl29_108 ),
    inference(superposition,[],[f3908,f3074]) ).

fof(f3074,plain,
    ( c_2Ebool_2ET = ap(sF21,sK20)
    | ~ spl29_108 ),
    inference(avatar_component_clause,[],[f3072]) ).

fof(f3072,plain,
    ( spl29_108
  <=> c_2Ebool_2ET = ap(sF21,sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_108])]) ).

fof(f3209,plain,
    ( ~ p(ap(sF27,sK20))
    | spl29_133 ),
    inference(avatar_component_clause,[],[f3208]) ).

fof(f3208,plain,
    ( spl29_133
  <=> p(ap(sF27,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_133])]) ).

fof(f5791,plain,
    ( ~ spl29_108
    | spl29_134 ),
    inference(avatar_contradiction_clause,[],[f5790]) ).

fof(f5790,plain,
    ( $false
    | ~ spl29_108
    | spl29_134 ),
    inference(subsumption_resolution,[],[f5789,f1280]) ).

fof(f5789,plain,
    ( ~ p(ap(sF23,sK20))
    | ~ spl29_108
    | spl29_134 ),
    inference(forward_demodulation,[],[f3213,f5642]) ).

fof(f3213,plain,
    ( ~ p(ap(sF23,sF26))
    | spl29_134 ),
    inference(avatar_component_clause,[],[f3212]) ).

fof(f3212,plain,
    ( spl29_134
  <=> p(ap(sF23,sF26)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_134])]) ).

fof(f5777,plain,
    ( spl29_3
    | ~ spl29_6
    | ~ spl29_149 ),
    inference(avatar_split_clause,[],[f5776,f5008,f798,f513]) ).

fof(f513,plain,
    ( spl29_3
  <=> p(sF28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).

fof(f798,plain,
    ( spl29_6
  <=> c_2Ebool_2ET = sF24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).

fof(f5008,plain,
    ( spl29_149
  <=> ! [X2] :
        ( ~ mem(X2,ty_2Eextreal_2Eextreal)
        | p(ap(sF27,X2))
        | ~ p(ap(sF23,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_149])]) ).

fof(f5776,plain,
    ( p(sF28)
    | ~ spl29_6
    | ~ spl29_149 ),
    inference(subsumption_resolution,[],[f5775,f461]) ).

fof(f461,plain,
    p(c_2Ebool_2ET),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    p(c_2Ebool_2ET),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_true_p) ).

fof(f5775,plain,
    ( ~ p(c_2Ebool_2ET)
    | p(sF28)
    | ~ spl29_6
    | ~ spl29_149 ),
    inference(forward_demodulation,[],[f5484,f800]) ).

fof(f800,plain,
    ( c_2Ebool_2ET = sF24
    | ~ spl29_6 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f5484,plain,
    ( ~ p(sF24)
    | p(sF28)
    | ~ spl29_149 ),
    inference(forward_demodulation,[],[f5483,f486]) ).

fof(f5483,plain,
    ( p(ap(sF27,sK18))
    | ~ p(sF24)
    | ~ spl29_149 ),
    inference(subsumption_resolution,[],[f5478,f460]) ).

fof(f460,plain,
    mem(sK18,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f270]) ).

fof(f5478,plain,
    ( ~ p(sF24)
    | p(ap(sF27,sK18))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ spl29_149 ),
    inference(superposition,[],[f5009,f482]) ).

fof(f482,plain,
    sF24 = ap(sF23,sK18),
    introduced(function_definition,[]) ).

fof(f5009,plain,
    ( ! [X2] :
        ( ~ p(ap(sF23,X2))
        | p(ap(sF27,X2))
        | ~ mem(X2,ty_2Eextreal_2Eextreal) )
    | ~ spl29_149 ),
    inference(avatar_component_clause,[],[f5008]) ).

fof(f5733,plain,
    ( spl29_1
    | ~ spl29_3
    | ~ spl29_113 ),
    inference(avatar_contradiction_clause,[],[f5732]) ).

fof(f5732,plain,
    ( $false
    | spl29_1
    | ~ spl29_3
    | ~ spl29_113 ),
    inference(subsumption_resolution,[],[f5535,f507]) ).

fof(f507,plain,
    ( ~ p(sF22)
    | spl29_1 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl29_1
  <=> p(sF22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).

fof(f5535,plain,
    ( p(sF22)
    | ~ spl29_3
    | ~ spl29_113 ),
    inference(forward_demodulation,[],[f5534,f480]) ).

fof(f5534,plain,
    ( p(ap(sF21,sK18))
    | ~ spl29_3
    | ~ spl29_113 ),
    inference(subsumption_resolution,[],[f5533,f514]) ).

fof(f514,plain,
    ( p(sF28)
    | ~ spl29_3 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f5533,plain,
    ( ~ p(sF28)
    | p(ap(sF21,sK18))
    | ~ spl29_113 ),
    inference(subsumption_resolution,[],[f5523,f460]) ).

fof(f5523,plain,
    ( ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | p(ap(sF21,sK18))
    | ~ p(sF28)
    | ~ spl29_113 ),
    inference(superposition,[],[f5019,f486]) ).

fof(f5019,plain,
    ( ! [X0] :
        ( ~ p(ap(sF27,X0))
        | ~ mem(X0,ty_2Eextreal_2Eextreal)
        | p(ap(sF21,X0)) )
    | ~ spl29_113 ),
    inference(subsumption_resolution,[],[f5018,f461]) ).

fof(f5018,plain,
    ( ! [X0] :
        ( p(ap(sF21,X0))
        | ~ p(ap(sF27,X0))
        | ~ mem(X0,ty_2Eextreal_2Eextreal)
        | ~ p(c_2Ebool_2ET) )
    | ~ spl29_113 ),
    inference(forward_demodulation,[],[f4740,f3096]) ).

fof(f3096,plain,
    ( c_2Ebool_2ET = ap(sF21,sF26)
    | ~ spl29_113 ),
    inference(avatar_component_clause,[],[f3094]) ).

fof(f3094,plain,
    ( spl29_113
  <=> c_2Ebool_2ET = ap(sF21,sF26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_113])]) ).

fof(f4740,plain,
    ! [X0] :
      ( p(ap(sF21,X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(sF21,sF26))
      | ~ p(ap(sF27,X0)) ),
    inference(subsumption_resolution,[],[f4725,f459]) ).

fof(f4725,plain,
    ! [X0] :
      ( ~ p(ap(sF21,sF26))
      | p(ap(sF21,X0))
      | ~ p(ap(sF27,X0))
      | ~ mem(sK19,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[],[f1916,f479]) ).

fof(f1916,plain,
    ! [X4,X5] :
      ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X5),sF26))
      | ~ mem(X4,ty_2Eextreal_2Eextreal)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X5),X4))
      | ~ p(ap(sF27,X4))
      | ~ mem(X5,ty_2Eextreal_2Eextreal) ),
    inference(subsumption_resolution,[],[f1911,f742]) ).

fof(f742,plain,
    mem(sF26,ty_2Eextreal_2Eextreal),
    inference(subsumption_resolution,[],[f741,f455]) ).

fof(f741,plain,
    ( ~ mem(sK20,ty_2Eextreal_2Eextreal)
    | mem(sF26,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[],[f736,f484]) ).

fof(f736,plain,
    ! [X0] :
      ( mem(ap(sF25,X0),ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f735,f329]) ).

fof(f329,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X2,arr(X1,X0))
      | ~ mem(X3,X1)
      | mem(ap(X2,X3),X0) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0,X1,X2] :
      ( ~ mem(X2,arr(X1,X0))
      | ! [X3] :
          ( mem(ap(X2,X3),X0)
          | ~ mem(X3,X1) ) ),
    inference(rectify,[],[f130]) ).

fof(f130,plain,
    ! [X1,X2,X0] :
      ( ~ mem(X0,arr(X2,X1))
      | ! [X3] :
          ( mem(ap(X0,X3),X1)
          | ~ mem(X3,X2) ) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X1,X2,X0] :
      ( mem(X0,arr(X2,X1))
     => ! [X3] :
          ( mem(X3,X2)
         => mem(ap(X0,X3),X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X1,X0] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).

fof(f735,plain,
    mem(sF25,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),
    inference(subsumption_resolution,[],[f734,f459]) ).

fof(f734,plain,
    ( mem(sF25,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
    | ~ mem(sK19,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[],[f705,f483]) ).

fof(f705,plain,
    ! [X10] :
      ( mem(ap(c_2Eextreal_2Eextreal__max,X10),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
      | ~ mem(X10,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f329,f368]) ).

fof(f368,plain,
    mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__max) ).

fof(f1911,plain,
    ! [X4,X5] :
      ( ~ mem(X5,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X5),sF26))
      | ~ mem(X4,ty_2Eextreal_2Eextreal)
      | ~ mem(sF26,ty_2Eextreal_2Eextreal)
      | ~ p(ap(sF27,X4))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X5),X4)) ),
    inference(superposition,[],[f274,f485]) ).

fof(f274,plain,
    ! [X2,X0,X1] :
      ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ! [X1] :
          ( ~ mem(X1,ty_2Eextreal_2Eextreal)
          | ! [X2] :
              ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
              | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
              | ~ mem(X2,ty_2Eextreal_2Eextreal)
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) ) ) ),
    inference(flattening,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
              | ~ mem(X2,ty_2Eextreal_2Eextreal) )
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ! [X2] :
              ( mem(X2,ty_2Eextreal_2Eextreal)
             => ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) )
               => p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) ) ) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X12] :
      ( mem(X12,ty_2Eextreal_2Eextreal)
     => ! [X13] :
          ( mem(X13,ty_2Eextreal_2Eextreal)
         => ! [X17] :
              ( mem(X17,ty_2Eextreal_2Eextreal)
             => ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X12),X13))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X13),X17)) )
               => p(ap(ap(c_2Eextreal_2Eextreal__le,X12),X17)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__trans) ).

fof(f5417,plain,
    ( ~ spl29_134
    | ~ spl29_136 ),
    inference(avatar_contradiction_clause,[],[f5416]) ).

fof(f5416,plain,
    ( $false
    | ~ spl29_134
    | ~ spl29_136 ),
    inference(subsumption_resolution,[],[f5415,f466]) ).

fof(f466,plain,
    ~ p(c_2Ebool_2EF),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ p(c_2Ebool_2EF),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_false_p) ).

fof(f5415,plain,
    ( p(c_2Ebool_2EF)
    | ~ spl29_134
    | ~ spl29_136 ),
    inference(forward_demodulation,[],[f3214,f3240]) ).

fof(f3240,plain,
    ( c_2Ebool_2EF = ap(sF23,sF26)
    | ~ spl29_136 ),
    inference(avatar_component_clause,[],[f3238]) ).

fof(f3238,plain,
    ( spl29_136
  <=> c_2Ebool_2EF = ap(sF23,sF26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_136])]) ).

fof(f3214,plain,
    ( p(ap(sF23,sF26))
    | ~ spl29_134 ),
    inference(avatar_component_clause,[],[f3212]) ).

fof(f5400,plain,
    ( ~ spl29_3
    | ~ spl29_5
    | ~ spl29_135 ),
    inference(avatar_contradiction_clause,[],[f5399]) ).

fof(f5399,plain,
    ( $false
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_135 ),
    inference(subsumption_resolution,[],[f5398,f466]) ).

fof(f5398,plain,
    ( p(c_2Ebool_2EF)
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_135 ),
    inference(forward_demodulation,[],[f5397,f795]) ).

fof(f795,plain,
    ( c_2Ebool_2EF = sF24
    | ~ spl29_5 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f793,plain,
    ( spl29_5
  <=> c_2Ebool_2EF = sF24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).

fof(f5397,plain,
    ( p(sF24)
    | ~ spl29_3
    | ~ spl29_135 ),
    inference(forward_demodulation,[],[f5396,f482]) ).

fof(f5396,plain,
    ( p(ap(sF23,sK18))
    | ~ spl29_3
    | ~ spl29_135 ),
    inference(subsumption_resolution,[],[f5395,f514]) ).

fof(f5395,plain,
    ( p(ap(sF23,sK18))
    | ~ p(sF28)
    | ~ spl29_135 ),
    inference(subsumption_resolution,[],[f5390,f460]) ).

fof(f5390,plain,
    ( p(ap(sF23,sK18))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(sF28)
    | ~ spl29_135 ),
    inference(superposition,[],[f4752,f486]) ).

fof(f4752,plain,
    ( ! [X1] :
        ( ~ p(ap(sF27,X1))
        | ~ mem(X1,ty_2Eextreal_2Eextreal)
        | p(ap(sF23,X1)) )
    | ~ spl29_135 ),
    inference(subsumption_resolution,[],[f4751,f461]) ).

fof(f4751,plain,
    ( ! [X1] :
        ( p(ap(sF23,X1))
        | ~ p(ap(sF27,X1))
        | ~ mem(X1,ty_2Eextreal_2Eextreal)
        | ~ p(c_2Ebool_2ET) )
    | ~ spl29_135 ),
    inference(forward_demodulation,[],[f4750,f3236]) ).

fof(f3236,plain,
    ( c_2Ebool_2ET = ap(sF23,sF26)
    | ~ spl29_135 ),
    inference(avatar_component_clause,[],[f3234]) ).

fof(f3234,plain,
    ( spl29_135
  <=> c_2Ebool_2ET = ap(sF23,sF26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_135])]) ).

fof(f4750,plain,
    ! [X1] :
      ( ~ p(ap(sF27,X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ p(ap(sF23,sF26))
      | p(ap(sF23,X1)) ),
    inference(subsumption_resolution,[],[f4726,f455]) ).

fof(f4726,plain,
    ! [X1] :
      ( ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(sK20,ty_2Eextreal_2Eextreal)
      | ~ p(ap(sF27,X1))
      | p(ap(sF23,X1))
      | ~ p(ap(sF23,sF26)) ),
    inference(superposition,[],[f1916,f481]) ).

fof(f5010,plain,
    ( ~ spl29_133
    | spl29_149 ),
    inference(avatar_split_clause,[],[f4916,f5008,f3208]) ).

fof(f4916,plain,
    ! [X2] :
      ( ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ p(ap(sF23,X2))
      | ~ p(ap(sF27,sK20))
      | p(ap(sF27,X2)) ),
    inference(subsumption_resolution,[],[f4907,f742]) ).

fof(f4907,plain,
    ! [X2] :
      ( ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ p(ap(sF27,sK20))
      | ~ mem(sF26,ty_2Eextreal_2Eextreal)
      | ~ p(ap(sF23,X2))
      | p(ap(sF27,X2)) ),
    inference(superposition,[],[f1917,f485]) ).

fof(f1917,plain,
    ! [X2,X3] :
      ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X3),sK20))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X2))
      | ~ p(ap(sF23,X2)) ),
    inference(subsumption_resolution,[],[f1910,f455]) ).

fof(f1910,plain,
    ! [X2,X3] :
      ( ~ mem(sK20,ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ p(ap(sF23,X2))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X3),sK20)) ),
    inference(superposition,[],[f274,f481]) ).

fof(f4996,plain,
    ( ~ spl29_109
    | spl29_131
    | ~ spl29_135 ),
    inference(avatar_contradiction_clause,[],[f4995]) ).

fof(f4995,plain,
    ( $false
    | ~ spl29_109
    | spl29_131
    | ~ spl29_135 ),
    inference(subsumption_resolution,[],[f4040,f3199]) ).

fof(f3199,plain,
    ( c_2Ebool_2ET != ap(sF23,sK19)
    | spl29_131 ),
    inference(avatar_component_clause,[],[f3198]) ).

fof(f3198,plain,
    ( spl29_131
  <=> c_2Ebool_2ET = ap(sF23,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_131])]) ).

fof(f4040,plain,
    ( c_2Ebool_2ET = ap(sF23,sK19)
    | ~ spl29_109
    | ~ spl29_135 ),
    inference(superposition,[],[f3236,f4016]) ).

fof(f4016,plain,
    ( sK19 = sF26
    | ~ spl29_109 ),
    inference(forward_demodulation,[],[f4015,f2018]) ).

fof(f4015,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK20),sK19) = sF26
    | ~ spl29_109 ),
    inference(forward_demodulation,[],[f3908,f3078]) ).

fof(f4980,plain,
    ( ~ spl29_5
    | ~ spl29_120
    | ~ spl29_131 ),
    inference(avatar_contradiction_clause,[],[f4979]) ).

fof(f4979,plain,
    ( $false
    | ~ spl29_5
    | ~ spl29_120
    | ~ spl29_131 ),
    inference(subsumption_resolution,[],[f4978,f466]) ).

fof(f4978,plain,
    ( p(c_2Ebool_2EF)
    | ~ spl29_5
    | ~ spl29_120
    | ~ spl29_131 ),
    inference(forward_demodulation,[],[f4977,f795]) ).

fof(f4977,plain,
    ( p(sF24)
    | ~ spl29_120
    | ~ spl29_131 ),
    inference(forward_demodulation,[],[f4976,f482]) ).

fof(f4976,plain,
    ( p(ap(sF23,sK18))
    | ~ spl29_120
    | ~ spl29_131 ),
    inference(subsumption_resolution,[],[f4975,f461]) ).

fof(f4975,plain,
    ( p(ap(sF23,sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ spl29_120
    | ~ spl29_131 ),
    inference(forward_demodulation,[],[f4974,f3130]) ).

fof(f4974,plain,
    ( ~ p(sF22)
    | p(ap(sF23,sK18))
    | ~ spl29_131 ),
    inference(subsumption_resolution,[],[f4959,f460]) ).

fof(f4959,plain,
    ( ~ p(sF22)
    | p(ap(sF23,sK18))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ spl29_131 ),
    inference(superposition,[],[f4655,f480]) ).

fof(f4655,plain,
    ( ! [X1] :
        ( ~ p(ap(sF21,X1))
        | ~ mem(X1,ty_2Eextreal_2Eextreal)
        | p(ap(sF23,X1)) )
    | ~ spl29_131 ),
    inference(subsumption_resolution,[],[f4654,f461]) ).

fof(f4654,plain,
    ( ! [X1] :
        ( p(ap(sF23,X1))
        | ~ p(c_2Ebool_2ET)
        | ~ mem(X1,ty_2Eextreal_2Eextreal)
        | ~ p(ap(sF21,X1)) )
    | ~ spl29_131 ),
    inference(forward_demodulation,[],[f4653,f3200]) ).

fof(f3200,plain,
    ( c_2Ebool_2ET = ap(sF23,sK19)
    | ~ spl29_131 ),
    inference(avatar_component_clause,[],[f3198]) ).

fof(f4653,plain,
    ! [X1] :
      ( ~ p(ap(sF23,sK19))
      | ~ p(ap(sF21,X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | p(ap(sF23,X1)) ),
    inference(subsumption_resolution,[],[f4642,f455]) ).

fof(f4642,plain,
    ! [X1] :
      ( ~ mem(X1,ty_2Eextreal_2Eextreal)
      | p(ap(sF23,X1))
      | ~ mem(sK20,ty_2Eextreal_2Eextreal)
      | ~ p(ap(sF21,X1))
      | ~ p(ap(sF23,sK19)) ),
    inference(superposition,[],[f1915,f481]) ).

fof(f1915,plain,
    ! [X0,X1] :
      ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK19))
      | ~ p(ap(sF21,X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(subsumption_resolution,[],[f1909,f459]) ).

fof(f1909,plain,
    ! [X0,X1] :
      ( ~ p(ap(sF21,X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK19))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK19,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[],[f274,f479]) ).

fof(f4134,plain,
    ( spl29_108
    | ~ spl29_109
    | ~ spl29_133 ),
    inference(avatar_contradiction_clause,[],[f4133]) ).

fof(f4133,plain,
    ( $false
    | spl29_108
    | ~ spl29_109
    | ~ spl29_133 ),
    inference(subsumption_resolution,[],[f4123,f3073]) ).

fof(f3073,plain,
    ( c_2Ebool_2ET != ap(sF21,sK20)
    | spl29_108 ),
    inference(avatar_component_clause,[],[f3072]) ).

fof(f4123,plain,
    ( c_2Ebool_2ET = ap(sF21,sK20)
    | ~ spl29_109
    | ~ spl29_133 ),
    inference(superposition,[],[f3296,f4044]) ).

fof(f4044,plain,
    ( sF21 = sF27
    | ~ spl29_109 ),
    inference(forward_demodulation,[],[f4020,f479]) ).

fof(f4020,plain,
    ( sF27 = ap(c_2Eextreal_2Eextreal__le,sK19)
    | ~ spl29_109 ),
    inference(superposition,[],[f485,f4016]) ).

fof(f3296,plain,
    ( c_2Ebool_2ET = ap(sF27,sK20)
    | ~ spl29_133 ),
    inference(subsumption_resolution,[],[f3295,f455]) ).

fof(f3295,plain,
    ( ~ mem(sK20,ty_2Eextreal_2Eextreal)
    | c_2Ebool_2ET = ap(sF27,sK20)
    | ~ spl29_133 ),
    inference(resolution,[],[f3210,f867]) ).

fof(f867,plain,
    ! [X9] :
      ( ~ p(ap(sF27,X9))
      | ~ mem(X9,ty_2Eextreal_2Eextreal)
      | c_2Ebool_2ET = ap(sF27,X9) ),
    inference(resolution,[],[f764,f686]) ).

fof(f686,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | c_2Ebool_2ET = X0
      | ~ p(X0) ),
    inference(subsumption_resolution,[],[f684,f461]) ).

fof(f684,plain,
    ! [X0] :
      ( ~ p(X0)
      | c_2Ebool_2ET = X0
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f281,f335]) ).

fof(f335,plain,
    mem(c_2Ebool_2ET,bool),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    mem(c_2Ebool_2ET,bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | X0 = X1
      | ~ p(X1)
      | ~ p(X0)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ! [X1] :
          ( X0 = X1
          | ( ( ~ p(X1)
              | ~ p(X0) )
            & ( p(X1)
              | p(X0) ) )
          | ~ mem(X1,bool) ) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ! [X1] :
          ( X0 = X1
          | ( p(X0)
          <~> p(X1) )
          | ~ mem(X1,bool) ) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ( p(X0)
          <~> p(X1) )
          | ~ mem(X1,bool) )
      | ~ mem(X0,bool) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( mem(X0,bool)
     => ! [X1] :
          ( mem(X1,bool)
         => ( ( p(X1)
            <=> p(X0) )
           => 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/sandbox2/benchmark/theBenchmark.p',boolext) ).

fof(f764,plain,
    ! [X0] :
      ( mem(ap(sF27,X0),bool)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f753,f329]) ).

fof(f753,plain,
    mem(sF27,arr(ty_2Eextreal_2Eextreal,bool)),
    inference(subsumption_resolution,[],[f750,f742]) ).

fof(f750,plain,
    ( ~ mem(sF26,ty_2Eextreal_2Eextreal)
    | mem(sF27,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[],[f706,f485]) ).

fof(f706,plain,
    ! [X11] :
      ( mem(ap(c_2Eextreal_2Eextreal__le,X11),arr(ty_2Eextreal_2Eextreal,bool))
      | ~ mem(X11,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f329,f441]) ).

fof(f441,plain,
    mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__le) ).

fof(f3210,plain,
    ( p(ap(sF27,sK20))
    | ~ spl29_133 ),
    inference(avatar_component_clause,[],[f3208]) ).

fof(f4131,plain,
    ( ~ spl29_109
    | ~ spl29_118
    | spl29_119 ),
    inference(avatar_contradiction_clause,[],[f4130]) ).

fof(f4130,plain,
    ( $false
    | ~ spl29_109
    | ~ spl29_118
    | spl29_119 ),
    inference(subsumption_resolution,[],[f4129,f3124]) ).

fof(f3124,plain,
    ( c_2Ebool_2EF != sF28
    | spl29_119 ),
    inference(avatar_component_clause,[],[f3123]) ).

fof(f3123,plain,
    ( spl29_119
  <=> c_2Ebool_2EF = sF28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_119])]) ).

fof(f4129,plain,
    ( c_2Ebool_2EF = sF28
    | ~ spl29_109
    | ~ spl29_118 ),
    inference(forward_demodulation,[],[f4128,f3120]) ).

fof(f3120,plain,
    ( c_2Ebool_2EF = sF22
    | ~ spl29_118 ),
    inference(avatar_component_clause,[],[f3118]) ).

fof(f3118,plain,
    ( spl29_118
  <=> c_2Ebool_2EF = sF22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_118])]) ).

fof(f4128,plain,
    ( sF28 = sF22
    | ~ spl29_109 ),
    inference(forward_demodulation,[],[f4104,f480]) ).

fof(f4104,plain,
    ( sF28 = ap(sF21,sK18)
    | ~ spl29_109 ),
    inference(superposition,[],[f486,f4044]) ).

fof(f3989,plain,
    ( spl29_6
    | ~ spl29_2 ),
    inference(avatar_split_clause,[],[f3988,f509,f798]) ).

fof(f509,plain,
    ( spl29_2
  <=> p(sF24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).

fof(f3988,plain,
    ( c_2Ebool_2ET = sF24
    | ~ spl29_2 ),
    inference(subsumption_resolution,[],[f1015,f510]) ).

fof(f510,plain,
    ( p(sF24)
    | ~ spl29_2 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1015,plain,
    ( ~ p(sF24)
    | c_2Ebool_2ET = sF24 ),
    inference(subsumption_resolution,[],[f1013,f460]) ).

fof(f1013,plain,
    ( c_2Ebool_2ET = sF24
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(sF24) ),
    inference(superposition,[],[f773,f482]) ).

fof(f773,plain,
    ! [X9] :
      ( ~ p(ap(sF23,X9))
      | ~ mem(X9,ty_2Eextreal_2Eextreal)
      | c_2Ebool_2ET = ap(sF23,X9) ),
    inference(resolution,[],[f754,f686]) ).

fof(f754,plain,
    ! [X0] :
      ( mem(ap(sF23,X0),bool)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f751,f329]) ).

fof(f751,plain,
    mem(sF23,arr(ty_2Eextreal_2Eextreal,bool)),
    inference(subsumption_resolution,[],[f749,f455]) ).

fof(f749,plain,
    ( mem(sF23,arr(ty_2Eextreal_2Eextreal,bool))
    | ~ mem(sK20,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[],[f706,f481]) ).

fof(f3940,plain,
    ( spl29_1
    | spl29_118 ),
    inference(avatar_split_clause,[],[f843,f3118,f505]) ).

fof(f843,plain,
    ( c_2Ebool_2EF = sF22
    | p(sF22) ),
    inference(resolution,[],[f837,f683]) ).

fof(f683,plain,
    ! [X1] :
      ( ~ mem(X1,bool)
      | p(X1)
      | c_2Ebool_2EF = X1 ),
    inference(subsumption_resolution,[],[f682,f466]) ).

fof(f682,plain,
    ! [X1] :
      ( c_2Ebool_2EF = X1
      | ~ mem(X1,bool)
      | p(X1)
      | p(c_2Ebool_2EF) ),
    inference(resolution,[],[f280,f454]) ).

fof(f454,plain,
    mem(c_2Ebool_2EF,bool),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    mem(c_2Ebool_2EF,bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | p(X0)
      | p(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f194]) ).

fof(f837,plain,
    mem(sF22,bool),
    inference(subsumption_resolution,[],[f835,f460]) ).

fof(f835,plain,
    ( ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | mem(sF22,bool) ),
    inference(superposition,[],[f760,f480]) ).

fof(f760,plain,
    ! [X0] :
      ( mem(ap(sF21,X0),bool)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f752,f329]) ).

fof(f752,plain,
    mem(sF21,arr(ty_2Eextreal_2Eextreal,bool)),
    inference(subsumption_resolution,[],[f748,f459]) ).

fof(f748,plain,
    ( mem(sF21,arr(ty_2Eextreal_2Eextreal,bool))
    | ~ mem(sK19,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[],[f706,f479]) ).

fof(f3939,plain,
    ( spl29_120
    | ~ spl29_1 ),
    inference(avatar_split_clause,[],[f3168,f505,f3128]) ).

fof(f3168,plain,
    ( ~ p(sF22)
    | c_2Ebool_2ET = sF22 ),
    inference(subsumption_resolution,[],[f1025,f460]) ).

fof(f1025,plain,
    ( c_2Ebool_2ET = sF22
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(sF22) ),
    inference(superposition,[],[f831,f480]) ).

fof(f831,plain,
    ! [X9] :
      ( ~ p(ap(sF21,X9))
      | ~ mem(X9,ty_2Eextreal_2Eextreal)
      | c_2Ebool_2ET = ap(sF21,X9) ),
    inference(resolution,[],[f760,f686]) ).

fof(f3934,plain,
    ( ~ spl29_47
    | ~ spl29_108
    | ~ spl29_112
    | ~ spl29_118
    | spl29_124 ),
    inference(avatar_contradiction_clause,[],[f3933]) ).

fof(f3933,plain,
    ( $false
    | ~ spl29_47
    | ~ spl29_108
    | ~ spl29_112
    | ~ spl29_118
    | spl29_124 ),
    inference(subsumption_resolution,[],[f3932,f3761]) ).

fof(f3761,plain,
    ( c_2Ebool_2ET != c_2Ebool_2EF
    | ~ spl29_47
    | ~ spl29_118
    | spl29_124 ),
    inference(forward_demodulation,[],[f3760,f1753]) ).

fof(f1753,plain,
    ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2EF)
    | ~ spl29_47 ),
    inference(avatar_component_clause,[],[f1751]) ).

fof(f1751,plain,
    ( spl29_47
  <=> c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_47])]) ).

fof(f3760,plain,
    ( c_2Ebool_2EF != ap(c_2Ebool_2E_7E,c_2Ebool_2EF)
    | ~ spl29_118
    | spl29_124 ),
    inference(forward_demodulation,[],[f3151,f3120]) ).

fof(f3151,plain,
    ( c_2Ebool_2EF != ap(c_2Ebool_2E_7E,sF22)
    | spl29_124 ),
    inference(avatar_component_clause,[],[f3150]) ).

fof(f3150,plain,
    ( spl29_124
  <=> c_2Ebool_2EF = ap(c_2Ebool_2E_7E,sF22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_124])]) ).

fof(f3932,plain,
    ( c_2Ebool_2ET = c_2Ebool_2EF
    | ~ spl29_108
    | ~ spl29_112 ),
    inference(forward_demodulation,[],[f3930,f3074]) ).

fof(f3930,plain,
    ( c_2Ebool_2EF = ap(sF21,sK20)
    | ~ spl29_108
    | ~ spl29_112 ),
    inference(superposition,[],[f3092,f3910]) ).

fof(f3910,plain,
    ( sK20 = sF26
    | ~ spl29_108 ),
    inference(forward_demodulation,[],[f3909,f2051]) ).

fof(f3909,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK20),sK19) = sF26
    | ~ spl29_108 ),
    inference(forward_demodulation,[],[f3908,f3074]) ).

fof(f3092,plain,
    ( c_2Ebool_2EF = ap(sF21,sF26)
    | ~ spl29_112 ),
    inference(avatar_component_clause,[],[f3090]) ).

fof(f3090,plain,
    ( spl29_112
  <=> c_2Ebool_2EF = ap(sF21,sF26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_112])]) ).

fof(f3773,plain,
    ( spl29_5
    | ~ spl29_6
    | ~ spl29_40
    | ~ spl29_46 ),
    inference(avatar_contradiction_clause,[],[f3772]) ).

fof(f3772,plain,
    ( $false
    | spl29_5
    | ~ spl29_6
    | ~ spl29_40
    | ~ spl29_46 ),
    inference(subsumption_resolution,[],[f3771,f3242]) ).

fof(f3242,plain,
    ( c_2Ebool_2ET != c_2Ebool_2EF
    | spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f794,f800]) ).

fof(f794,plain,
    ( c_2Ebool_2EF != sF24
    | spl29_5 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f3771,plain,
    ( c_2Ebool_2ET = c_2Ebool_2EF
    | ~ spl29_40
    | ~ spl29_46 ),
    inference(forward_demodulation,[],[f1636,f1667]) ).

fof(f1667,plain,
    ( c_2Ebool_2ET = sK16(bool,c_2Ebool_2E_7E)
    | ~ spl29_46 ),
    inference(avatar_component_clause,[],[f1665]) ).

fof(f1665,plain,
    ( spl29_46
  <=> c_2Ebool_2ET = sK16(bool,c_2Ebool_2E_7E) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_46])]) ).

fof(f1636,plain,
    ( c_2Ebool_2EF = sK16(bool,c_2Ebool_2E_7E)
    | ~ spl29_40 ),
    inference(avatar_component_clause,[],[f1634]) ).

fof(f1634,plain,
    ( spl29_40
  <=> c_2Ebool_2EF = sK16(bool,c_2Ebool_2E_7E) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_40])]) ).

fof(f3724,plain,
    ( ~ spl29_118
    | ~ spl29_124 ),
    inference(avatar_contradiction_clause,[],[f3723]) ).

fof(f3723,plain,
    ( $false
    | ~ spl29_118
    | ~ spl29_124 ),
    inference(subsumption_resolution,[],[f3722,f466]) ).

fof(f3722,plain,
    ( p(c_2Ebool_2EF)
    | ~ spl29_118
    | ~ spl29_124 ),
    inference(forward_demodulation,[],[f3688,f3120]) ).

fof(f3688,plain,
    ( p(sF22)
    | ~ spl29_124 ),
    inference(subsumption_resolution,[],[f3687,f466]) ).

fof(f3687,plain,
    ( p(c_2Ebool_2EF)
    | p(sF22)
    | ~ spl29_124 ),
    inference(subsumption_resolution,[],[f3369,f837]) ).

fof(f3369,plain,
    ( ~ mem(sF22,bool)
    | p(c_2Ebool_2EF)
    | p(sF22)
    | ~ spl29_124 ),
    inference(superposition,[],[f341,f3152]) ).

fof(f3152,plain,
    ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,sF22)
    | ~ spl29_124 ),
    inference(avatar_component_clause,[],[f3150]) ).

fof(f3709,plain,
    ( spl29_122
    | ~ spl29_127 ),
    inference(avatar_contradiction_clause,[],[f3708]) ).

fof(f3708,plain,
    ( $false
    | spl29_122
    | ~ spl29_127 ),
    inference(subsumption_resolution,[],[f3707,f461]) ).

fof(f3707,plain,
    ( ~ p(c_2Ebool_2ET)
    | spl29_122
    | ~ spl29_127 ),
    inference(forward_demodulation,[],[f3695,f3178]) ).

fof(f3178,plain,
    ( c_2Ebool_2ET = sF28
    | ~ spl29_127 ),
    inference(avatar_component_clause,[],[f3176]) ).

fof(f3695,plain,
    ( ~ p(sF28)
    | spl29_122 ),
    inference(subsumption_resolution,[],[f949,f3139]) ).

fof(f3139,plain,
    ( c_2Ebool_2EF != ap(c_2Ebool_2E_7E,sF28)
    | spl29_122 ),
    inference(avatar_component_clause,[],[f3138]) ).

fof(f3138,plain,
    ( spl29_122
  <=> c_2Ebool_2EF = ap(c_2Ebool_2E_7E,sF28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_122])]) ).

fof(f949,plain,
    ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,sF28)
    | ~ p(sF28) ),
    inference(resolution,[],[f940,f872]) ).

fof(f872,plain,
    mem(sF28,bool),
    inference(subsumption_resolution,[],[f871,f460]) ).

fof(f871,plain,
    ( ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | mem(sF28,bool) ),
    inference(superposition,[],[f764,f486]) ).

fof(f940,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ~ p(X0)
      | c_2Ebool_2EF = ap(c_2Ebool_2E_7E,X0) ),
    inference(duplicate_literal_removal,[],[f939]) ).

fof(f939,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ~ p(X0)
      | c_2Ebool_2EF = ap(c_2Ebool_2E_7E,X0)
      | ~ mem(X0,bool) ),
    inference(resolution,[],[f712,f342]) ).

fof(f342,plain,
    ! [X0] :
      ( ~ p(ap(c_2Ebool_2E_7E,X0))
      | ~ p(X0)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f712,plain,
    ! [X8] :
      ( p(ap(c_2Ebool_2E_7E,X8))
      | ~ mem(X8,bool)
      | c_2Ebool_2EF = ap(c_2Ebool_2E_7E,X8) ),
    inference(resolution,[],[f703,f683]) ).

fof(f703,plain,
    ! [X7] :
      ( mem(ap(c_2Ebool_2E_7E,X7),bool)
      | ~ mem(X7,bool) ),
    inference(resolution,[],[f329,f464]) ).

fof(f3686,plain,
    ( ~ spl29_3
    | ~ spl29_119 ),
    inference(avatar_contradiction_clause,[],[f3685]) ).

fof(f3685,plain,
    ( $false
    | ~ spl29_3
    | ~ spl29_119 ),
    inference(subsumption_resolution,[],[f3684,f466]) ).

fof(f3684,plain,
    ( p(c_2Ebool_2EF)
    | ~ spl29_3
    | ~ spl29_119 ),
    inference(forward_demodulation,[],[f514,f3125]) ).

fof(f3125,plain,
    ( c_2Ebool_2EF = sF28
    | ~ spl29_119 ),
    inference(avatar_component_clause,[],[f3123]) ).

fof(f3241,plain,
    ( spl29_135
    | spl29_136 ),
    inference(avatar_split_clause,[],[f3052,f3238,f3234]) ).

fof(f3052,plain,
    ( c_2Ebool_2EF = ap(sF23,sF26)
    | c_2Ebool_2ET = ap(sF23,sF26) ),
    inference(resolution,[],[f1014,f742]) ).

fof(f1014,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | c_2Ebool_2EF = ap(sF23,X0)
      | c_2Ebool_2ET = ap(sF23,X0) ),
    inference(duplicate_literal_removal,[],[f1012]) ).

fof(f1012,plain,
    ! [X0] :
      ( c_2Ebool_2EF = ap(sF23,X0)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | c_2Ebool_2ET = ap(sF23,X0)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f773,f772]) ).

fof(f772,plain,
    ! [X8] :
      ( p(ap(sF23,X8))
      | c_2Ebool_2EF = ap(sF23,X8)
      | ~ mem(X8,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f754,f683]) ).

fof(f3223,plain,
    ( spl29_3
    | spl29_40
    | ~ spl29_46
    | ~ spl29_122 ),
    inference(avatar_split_clause,[],[f3222,f3138,f1665,f1634,f513]) ).

fof(f3222,plain,
    ( p(sF28)
    | spl29_40
    | ~ spl29_46
    | ~ spl29_122 ),
    inference(subsumption_resolution,[],[f3221,f1686]) ).

fof(f1686,plain,
    ( c_2Ebool_2ET != c_2Ebool_2EF
    | spl29_40
    | ~ spl29_46 ),
    inference(forward_demodulation,[],[f1635,f1667]) ).

fof(f1635,plain,
    ( c_2Ebool_2EF != sK16(bool,c_2Ebool_2E_7E)
    | spl29_40 ),
    inference(avatar_component_clause,[],[f1634]) ).

fof(f3221,plain,
    ( c_2Ebool_2ET = c_2Ebool_2EF
    | p(sF28)
    | ~ spl29_122 ),
    inference(forward_demodulation,[],[f974,f3140]) ).

fof(f3140,plain,
    ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,sF28)
    | ~ spl29_122 ),
    inference(avatar_component_clause,[],[f3138]) ).

fof(f974,plain,
    ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,sF28)
    | p(sF28) ),
    inference(resolution,[],[f965,f872]) ).

fof(f965,plain,
    ! [X1] :
      ( ~ mem(X1,bool)
      | c_2Ebool_2ET = ap(c_2Ebool_2E_7E,X1)
      | p(X1) ),
    inference(duplicate_literal_removal,[],[f962]) ).

fof(f962,plain,
    ! [X1] :
      ( ~ mem(X1,bool)
      | c_2Ebool_2ET = ap(c_2Ebool_2E_7E,X1)
      | p(X1)
      | ~ mem(X1,bool) ),
    inference(resolution,[],[f713,f341]) ).

fof(f713,plain,
    ! [X9] :
      ( ~ p(ap(c_2Ebool_2E_7E,X9))
      | ~ mem(X9,bool)
      | c_2Ebool_2ET = ap(c_2Ebool_2E_7E,X9) ),
    inference(resolution,[],[f703,f686]) ).

fof(f3220,plain,
    ( spl29_134
    | spl29_133 ),
    inference(avatar_split_clause,[],[f1927,f3208,f3212]) ).

fof(f1927,plain,
    ( p(ap(sF27,sK20))
    | p(ap(sF23,sF26)) ),
    inference(subsumption_resolution,[],[f1923,f455]) ).

fof(f1923,plain,
    ( ~ mem(sK20,ty_2Eextreal_2Eextreal)
    | p(ap(sF23,sF26))
    | p(ap(sF27,sK20)) ),
    inference(superposition,[],[f1274,f481]) ).

fof(f1274,plain,
    ! [X2] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sF26))
      | p(ap(sF27,X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal) ),
    inference(subsumption_resolution,[],[f1269,f742]) ).

fof(f1269,plain,
    ! [X2] :
      ( p(ap(sF27,X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sF26))
      | ~ mem(sF26,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[],[f282,f485]) ).

fof(f3097,plain,
    ( spl29_112
    | spl29_113 ),
    inference(avatar_split_clause,[],[f3061,f3094,f3090]) ).

fof(f3061,plain,
    ( c_2Ebool_2ET = ap(sF21,sF26)
    | c_2Ebool_2EF = ap(sF21,sF26) ),
    inference(resolution,[],[f1026,f742]) ).

fof(f1026,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | c_2Ebool_2EF = ap(sF21,X0)
      | c_2Ebool_2ET = ap(sF21,X0) ),
    inference(duplicate_literal_removal,[],[f1024]) ).

fof(f1024,plain,
    ! [X0] :
      ( c_2Ebool_2EF = ap(sF21,X0)
      | c_2Ebool_2ET = ap(sF21,X0)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(resolution,[],[f831,f830]) ).

fof(f830,plain,
    ! [X8] :
      ( p(ap(sF21,X8))
      | ~ mem(X8,ty_2Eextreal_2Eextreal)
      | c_2Ebool_2EF = ap(sF21,X8) ),
    inference(resolution,[],[f760,f683]) ).

fof(f3079,plain,
    ( spl29_108
    | spl29_109 ),
    inference(avatar_split_clause,[],[f3060,f3076,f3072]) ).

fof(f3060,plain,
    ( c_2Ebool_2EF = ap(sF21,sK20)
    | c_2Ebool_2ET = ap(sF21,sK20) ),
    inference(resolution,[],[f1026,f455]) ).

fof(f1799,plain,
    spl29_47,
    inference(avatar_split_clause,[],[f1798,f1751]) ).

fof(f1798,plain,
    c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2EF),
    inference(subsumption_resolution,[],[f971,f466]) ).

fof(f971,plain,
    ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2EF)
    | p(c_2Ebool_2EF) ),
    inference(resolution,[],[f965,f454]) ).

fof(f1668,plain,
    ( ~ spl29_41
    | spl29_46
    | ~ spl29_9 ),
    inference(avatar_split_clause,[],[f1621,f1211,f1665,f1638]) ).

fof(f1621,plain,
    ( c_2Ebool_2ET = sK16(bool,c_2Ebool_2E_7E)
    | ~ p(sK16(bool,c_2Ebool_2E_7E))
    | ~ spl29_9 ),
    inference(resolution,[],[f1213,f686]) ).

fof(f1610,plain,
    ~ spl29_8,
    inference(avatar_contradiction_clause,[],[f1609]) ).

fof(f1609,plain,
    ( $false
    | ~ spl29_8 ),
    inference(subsumption_resolution,[],[f1608,f466]) ).

fof(f1608,plain,
    ( p(c_2Ebool_2EF)
    | ~ spl29_8 ),
    inference(subsumption_resolution,[],[f1604,f335]) ).

fof(f1604,plain,
    ( ~ mem(c_2Ebool_2ET,bool)
    | p(c_2Ebool_2EF)
    | ~ spl29_8 ),
    inference(superposition,[],[f1554,f950]) ).

fof(f950,plain,
    c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET),
    inference(subsumption_resolution,[],[f945,f461]) ).

fof(f945,plain,
    ( ~ p(c_2Ebool_2ET)
    | c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) ),
    inference(resolution,[],[f940,f335]) ).

fof(f1554,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(X0,bool) )
    | ~ spl29_8 ),
    inference(subsumption_resolution,[],[f1553,f464]) ).

fof(f1553,plain,
    ( ! [X0] :
        ( p(ap(c_2Ebool_2E_7E,X0))
        | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
        | ~ mem(X0,bool) )
    | ~ spl29_8 ),
    inference(subsumption_resolution,[],[f1550,f330]) ).

fof(f1550,plain,
    ( ! [X0] :
        ( ~ mem(X0,bool)
        | ~ ne(bool)
        | ~ mem(c_2Ebool_2E_7E,arr(bool,bool))
        | p(ap(c_2Ebool_2E_7E,X0)) )
    | ~ spl29_8 ),
    inference(resolution,[],[f275,f1209]) ).

fof(f1209,plain,
    ( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ spl29_8 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f275,plain,
    ! [X3,X0,X1] :
      ( ~ p(ap(c_2Ebool_2E_21(X0),X1))
      | p(ap(X1,X3))
      | ~ mem(X3,X0)
      | ~ mem(X1,arr(X0,bool))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f1214,plain,
    ( spl29_8
    | spl29_9 ),
    inference(avatar_split_clause,[],[f1205,f1211,f1207]) ).

fof(f1205,plain,
    ( mem(sK16(bool,c_2Ebool_2E_7E),bool)
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
    inference(subsumption_resolution,[],[f1197,f330]) ).

fof(f1197,plain,
    ( mem(sK16(bool,c_2Ebool_2E_7E),bool)
    | ~ ne(bool)
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
    inference(resolution,[],[f277,f464]) ).

fof(f277,plain,
    ! [X0,X1] :
      ( ~ mem(X1,arr(X0,bool))
      | ~ ne(X0)
      | p(ap(c_2Ebool_2E_21(X0),X1))
      | mem(sK16(X0,X1),X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f796,plain,
    ( spl29_2
    | spl29_5 ),
    inference(avatar_split_clause,[],[f784,f793,f509]) ).

fof(f784,plain,
    ( c_2Ebool_2EF = sF24
    | p(sF24) ),
    inference(resolution,[],[f777,f683]) ).

fof(f777,plain,
    mem(sF24,bool),
    inference(subsumption_resolution,[],[f776,f460]) ).

fof(f776,plain,
    ( ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | mem(sF24,bool) ),
    inference(superposition,[],[f754,f482]) ).

fof(f518,plain,
    ( spl29_1
    | spl29_3 ),
    inference(avatar_split_clause,[],[f488,f513,f505]) ).

fof(f488,plain,
    ( p(sF28)
    | p(sF22) ),
    inference(definition_folding,[],[f457,f486,f485,f484,f483,f480,f479]) ).

fof(f457,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) ),
    inference(cnf_transformation,[],[f270]) ).

fof(f517,plain,
    ( spl29_3
    | spl29_2 ),
    inference(avatar_split_clause,[],[f489,f509,f513]) ).

fof(f489,plain,
    ( p(sF24)
    | p(sF28) ),
    inference(definition_folding,[],[f456,f486,f485,f484,f483,f482,f481]) ).

fof(f456,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) ),
    inference(cnf_transformation,[],[f270]) ).

fof(f516,plain,
    ( ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3 ),
    inference(avatar_split_clause,[],[f487,f513,f509,f505]) ).

fof(f487,plain,
    ( ~ p(sF28)
    | ~ p(sF24)
    | ~ p(sF22) ),
    inference(definition_folding,[],[f458,f486,f485,f484,f483,f482,f481,f480,f479]) ).

fof(f458,plain,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) ),
    inference(cnf_transformation,[],[f270]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP021+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 23:49:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (9810)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (9799)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (9803)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (9806)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (9802)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (9823)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (9801)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52  % (9804)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (9804)Instruction limit reached!
% 0.20/0.52  % (9804)------------------------------
% 0.20/0.52  % (9804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9804)Termination reason: Unknown
% 0.20/0.52  % (9804)Termination phase: Preprocessing 1
% 0.20/0.52  
% 0.20/0.52  % (9804)Memory used [KB]: 1023
% 0.20/0.52  % (9804)Time elapsed: 0.002 s
% 0.20/0.52  % (9804)Instructions burned: 2 (million)
% 0.20/0.52  % (9804)------------------------------
% 0.20/0.52  % (9804)------------------------------
% 0.20/0.52  % (9798)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (9803)Instruction limit reached!
% 0.20/0.52  % (9803)------------------------------
% 0.20/0.52  % (9803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9803)Termination reason: Unknown
% 0.20/0.52  % (9803)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (9803)Memory used [KB]: 1151
% 0.20/0.52  % (9803)Time elapsed: 0.009 s
% 0.20/0.52  % (9803)Instructions burned: 7 (million)
% 0.20/0.52  % (9803)------------------------------
% 0.20/0.52  % (9803)------------------------------
% 0.20/0.52  % (9809)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (9825)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (9821)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (9817)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (9814)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (9796)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (9800)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (9816)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53  % (9826)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (9820)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (9805)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (9812)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (9807)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.55  % (9811)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.55  % (9815)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (9824)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55  % (9813)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (9797)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (9818)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55  % (9808)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56  % (9819)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.57  TRYING [2]
% 0.20/0.57  TRYING [1]
% 0.20/0.57  % (9797)Refutation not found, incomplete strategy% (9797)------------------------------
% 0.20/0.57  % (9797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (9797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (9797)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (9797)Memory used [KB]: 5884
% 0.20/0.57  % (9797)Time elapsed: 0.156 s
% 0.20/0.57  % (9797)Instructions burned: 16 (million)
% 0.20/0.57  % (9797)------------------------------
% 0.20/0.57  % (9797)------------------------------
% 0.20/0.58  % (9802)Instruction limit reached!
% 0.20/0.58  % (9802)------------------------------
% 0.20/0.58  % (9802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  TRYING [2]
% 0.20/0.58  % (9802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (9802)Termination reason: Unknown
% 0.20/0.58  % (9798)Instruction limit reached!
% 0.20/0.58  % (9798)------------------------------
% 0.20/0.58  % (9798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (9802)Termination phase: Finite model building constraint generation
% 0.20/0.59  
% 0.20/0.59  % (9802)Memory used [KB]: 7164
% 0.20/0.59  % (9802)Time elapsed: 0.169 s
% 0.20/0.59  % (9802)Instructions burned: 51 (million)
% 0.20/0.59  % (9802)------------------------------
% 0.20/0.59  % (9802)------------------------------
% 0.20/0.59  TRYING [3]
% 0.20/0.59  TRYING [1]
% 0.20/0.60  TRYING [2]
% 0.20/0.60  % (9806)Instruction limit reached!
% 0.20/0.60  % (9806)------------------------------
% 0.20/0.60  % (9806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (9806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (9806)Termination reason: Unknown
% 0.20/0.60  % (9806)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (9806)Memory used [KB]: 6652
% 0.20/0.60  % (9806)Time elapsed: 0.205 s
% 0.20/0.60  % (9806)Instructions burned: 51 (million)
% 0.20/0.60  % (9806)------------------------------
% 0.20/0.60  % (9806)------------------------------
% 1.82/0.60  % (9800)Instruction limit reached!
% 1.82/0.60  % (9800)------------------------------
% 1.82/0.60  % (9800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60  % (9800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60  % (9800)Termination reason: Unknown
% 1.82/0.60  % (9800)Termination phase: Saturation
% 1.82/0.60  
% 1.82/0.60  % (9800)Memory used [KB]: 6524
% 1.82/0.60  % (9800)Time elapsed: 0.200 s
% 1.82/0.60  % (9800)Instructions burned: 51 (million)
% 1.82/0.60  % (9800)------------------------------
% 1.82/0.60  % (9800)------------------------------
% 1.82/0.61  % (9798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (9798)Termination reason: Unknown
% 1.82/0.61  % (9798)Termination phase: Saturation
% 1.82/0.61  
% 1.82/0.61  % (9798)Memory used [KB]: 1535
% 1.82/0.61  % (9798)Time elapsed: 0.176 s
% 1.82/0.61  % (9798)Instructions burned: 38 (million)
% 1.82/0.61  % (9798)------------------------------
% 1.82/0.61  % (9798)------------------------------
% 1.82/0.61  % (9810)Instruction limit reached!
% 1.82/0.61  % (9810)------------------------------
% 1.82/0.61  % (9810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (9810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (9810)Termination reason: Unknown
% 1.82/0.61  % (9810)Termination phase: Saturation
% 1.82/0.61  
% 1.82/0.61  % (9810)Memory used [KB]: 6524
% 1.82/0.61  % (9810)Time elapsed: 0.050 s
% 1.82/0.61  % (9810)Instructions burned: 69 (million)
% 1.82/0.61  % (9810)------------------------------
% 1.82/0.61  % (9810)------------------------------
% 1.82/0.62  % (9799)Instruction limit reached!
% 1.82/0.62  % (9799)------------------------------
% 1.82/0.62  % (9799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62  % (9799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62  % (9799)Termination reason: Unknown
% 1.82/0.62  % (9799)Termination phase: Saturation
% 1.82/0.62  
% 1.82/0.62  % (9799)Memory used [KB]: 6396
% 1.82/0.62  % (9799)Time elapsed: 0.224 s
% 1.82/0.62  % (9799)Instructions burned: 51 (million)
% 1.82/0.62  % (9799)------------------------------
% 1.82/0.62  % (9799)------------------------------
% 2.06/0.62  % (9823)Instruction limit reached!
% 2.06/0.62  % (9823)------------------------------
% 2.06/0.62  % (9823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63  % (9805)Instruction limit reached!
% 2.11/0.63  % (9805)------------------------------
% 2.11/0.63  % (9805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63  % (9805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (9805)Termination reason: Unknown
% 2.11/0.63  % (9805)Termination phase: Saturation
% 2.11/0.63  
% 2.11/0.63  % (9805)Memory used [KB]: 1791
% 2.11/0.63  % (9805)Time elapsed: 0.212 s
% 2.11/0.63  % (9805)Instructions burned: 52 (million)
% 2.11/0.63  % (9805)------------------------------
% 2.11/0.63  % (9805)------------------------------
% 2.11/0.63  % (9823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (9823)Termination reason: Unknown
% 2.11/0.63  % (9823)Termination phase: Saturation
% 2.11/0.63  
% 2.11/0.63  % (9823)Memory used [KB]: 6652
% 2.11/0.63  % (9823)Time elapsed: 0.050 s
% 2.11/0.63  % (9823)Instructions burned: 69 (million)
% 2.11/0.63  % (9823)------------------------------
% 2.11/0.63  % (9823)------------------------------
% 2.11/0.63  % (9801)Instruction limit reached!
% 2.11/0.63  % (9801)------------------------------
% 2.11/0.63  % (9801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63  % (9801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (9801)Termination reason: Unknown
% 2.11/0.63  % (9801)Termination phase: Saturation
% 2.11/0.63  
% 2.11/0.63  % (9801)Memory used [KB]: 6396
% 2.11/0.63  % (9801)Time elapsed: 0.226 s
% 2.11/0.63  % (9801)Instructions burned: 48 (million)
% 2.11/0.63  % (9801)------------------------------
% 2.11/0.63  % (9801)------------------------------
% 2.11/0.64  TRYING [3]
% 2.11/0.64  % (9813)Instruction limit reached!
% 2.11/0.64  % (9813)------------------------------
% 2.11/0.64  % (9813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (9813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (9813)Termination reason: Unknown
% 2.11/0.64  % (9813)Termination phase: Finite model building constraint generation
% 2.11/0.64  
% 2.11/0.64  % (9813)Memory used [KB]: 7547
% 2.11/0.64  % (9813)Time elapsed: 0.239 s
% 2.11/0.64  % (9813)Instructions burned: 59 (million)
% 2.11/0.64  % (9813)------------------------------
% 2.11/0.64  % (9813)------------------------------
% 2.11/0.65  % (9880)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.11/0.68  TRYING [4]
% 2.11/0.69  % (9815)Instruction limit reached!
% 2.11/0.69  % (9815)------------------------------
% 2.11/0.69  % (9815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.69  % (9815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.69  % (9815)Termination reason: Unknown
% 2.11/0.69  % (9815)Termination phase: Saturation
% 2.11/0.69  
% 2.11/0.69  % (9815)Memory used [KB]: 1918
% 2.11/0.69  % (9815)Time elapsed: 0.295 s
% 2.11/0.69  % (9815)Instructions burned: 102 (million)
% 2.11/0.69  % (9815)------------------------------
% 2.11/0.69  % (9815)------------------------------
% 2.11/0.69  % (9896)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.11/0.69  % (9811)Instruction limit reached!
% 2.11/0.69  % (9811)------------------------------
% 2.11/0.69  % (9811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.69  % (9811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.69  % (9811)Termination reason: Unknown
% 2.11/0.69  % (9811)Termination phase: Saturation
% 2.11/0.69  
% 2.11/0.69  % (9811)Memory used [KB]: 1918
% 2.11/0.69  % (9811)Time elapsed: 0.288 s
% 2.11/0.69  % (9811)Instructions burned: 75 (million)
% 2.11/0.69  % (9811)------------------------------
% 2.11/0.69  % (9811)------------------------------
% 2.58/0.71  % (9807)Instruction limit reached!
% 2.58/0.71  % (9807)------------------------------
% 2.58/0.71  % (9807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.71  % (9812)Instruction limit reached!
% 2.58/0.71  % (9812)------------------------------
% 2.58/0.71  % (9812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.71  % (9812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.71  % (9812)Termination reason: Unknown
% 2.58/0.71  % (9812)Termination phase: Saturation
% 2.58/0.71  
% 2.58/0.71  % (9812)Memory used [KB]: 6908
% 2.58/0.71  % (9812)Time elapsed: 0.294 s
% 2.58/0.71  % (9812)Instructions burned: 99 (million)
% 2.58/0.71  % (9812)------------------------------
% 2.58/0.71  % (9812)------------------------------
% 2.58/0.71  % (9807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.71  % (9807)Termination reason: Unknown
% 2.58/0.71  % (9807)Termination phase: Saturation
% 2.58/0.71  
% 2.58/0.71  % (9807)Memory used [KB]: 7291
% 2.58/0.71  % (9807)Time elapsed: 0.303 s
% 2.58/0.71  % (9807)Instructions burned: 100 (million)
% 2.58/0.71  % (9807)------------------------------
% 2.58/0.71  % (9807)------------------------------
% 2.58/0.71  % (9808)Instruction limit reached!
% 2.58/0.71  % (9808)------------------------------
% 2.58/0.71  % (9808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.71  % (9808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.71  % (9808)Termination reason: Unknown
% 2.58/0.71  % (9808)Termination phase: Saturation
% 2.58/0.71  
% 2.58/0.71  % (9808)Memory used [KB]: 6908
% 2.58/0.71  % (9808)Time elapsed: 0.313 s
% 2.58/0.71  % (9808)Instructions burned: 101 (million)
% 2.58/0.71  % (9808)------------------------------
% 2.58/0.71  % (9808)------------------------------
% 2.58/0.71  % (9809)Instruction limit reached!
% 2.58/0.71  % (9809)------------------------------
% 2.58/0.71  % (9809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.71  % (9809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.71  % (9809)Termination reason: Unknown
% 2.58/0.71  % (9809)Termination phase: Saturation
% 2.58/0.71  
% 2.58/0.71  % (9809)Memory used [KB]: 6908
% 2.58/0.71  % (9809)Time elapsed: 0.268 s
% 2.58/0.71  % (9809)Instructions burned: 99 (million)
% 2.58/0.71  % (9809)------------------------------
% 2.58/0.71  % (9809)------------------------------
% 2.58/0.71  % (9910)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.58/0.71  % (9911)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.58/0.72  % (9814)Instruction limit reached!
% 2.58/0.72  % (9814)------------------------------
% 2.58/0.72  % (9814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72  % (9814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72  % (9814)Termination reason: Unknown
% 2.58/0.72  % (9814)Termination phase: Saturation
% 2.58/0.72  
% 2.58/0.72  % (9814)Memory used [KB]: 7036
% 2.58/0.72  % (9814)Time elapsed: 0.304 s
% 2.58/0.72  % (9814)Instructions burned: 101 (million)
% 2.58/0.72  % (9814)------------------------------
% 2.58/0.72  % (9814)------------------------------
% 2.58/0.74  % (9912)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.58/0.74  % (9913)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.58/0.75  % (9914)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.58/0.75  % (9915)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.58/0.75  % (9916)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.58/0.76  % (9918)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.58/0.76  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.58/0.77  % (9817)Instruction limit reached!
% 2.58/0.77  % (9817)------------------------------
% 2.58/0.77  % (9817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.78  % (9920)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.91/0.78  % (9917)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.91/0.78  % (9817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.78  % (9817)Termination reason: Unknown
% 2.91/0.78  % (9817)Termination phase: Saturation
% 2.91/0.78  
% 2.91/0.78  % (9817)Memory used [KB]: 7675
% 2.91/0.78  % (9817)Time elapsed: 0.371 s
% 2.91/0.78  % (9817)Instructions burned: 139 (million)
% 2.91/0.78  % (9817)------------------------------
% 2.91/0.78  % (9817)------------------------------
% 2.91/0.79  % (9816)Instruction limit reached!
% 2.91/0.79  % (9816)------------------------------
% 2.91/0.79  % (9816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.79  % (9816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.79  % (9816)Termination reason: Unknown
% 2.91/0.79  % (9816)Termination phase: Saturation
% 2.91/0.79  
% 2.91/0.79  % (9816)Memory used [KB]: 7036
% 2.91/0.79  % (9816)Time elapsed: 0.384 s
% 2.91/0.79  % (9816)Instructions burned: 177 (million)
% 2.91/0.79  % (9816)------------------------------
% 2.91/0.79  % (9816)------------------------------
% 2.91/0.79  % (9919)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.91/0.81  % (9924)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.91/0.82  % (9921)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.91/0.83  % (9926)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.91/0.83  TRYING [5]
% 2.91/0.83  % (9922)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.91/0.83  % (9824)Instruction limit reached!
% 2.91/0.83  % (9824)------------------------------
% 2.91/0.83  % (9824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.84  % (9923)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.91/0.84  % (9925)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.91/0.85  % (9824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.85  % (9824)Termination reason: Unknown
% 2.91/0.85  % (9824)Termination phase: Saturation
% 2.91/0.85  
% 2.91/0.85  % (9824)Memory used [KB]: 2558
% 2.91/0.85  % (9824)Time elapsed: 0.419 s
% 2.91/0.85  % (9824)Instructions burned: 177 (million)
% 2.91/0.85  % (9824)------------------------------
% 2.91/0.85  % (9824)------------------------------
% 2.91/0.85  % (9927)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.23/0.87  % (9915)Instruction limit reached!
% 3.23/0.87  % (9915)------------------------------
% 3.23/0.87  % (9915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.23/0.87  % (9915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.23/0.87  % (9915)Termination reason: Unknown
% 3.23/0.87  % (9915)Termination phase: Saturation
% 3.23/0.87  
% 3.23/0.87  % (9915)Memory used [KB]: 6780
% 3.23/0.87  % (9915)Time elapsed: 0.037 s
% 3.23/0.87  % (9915)Instructions burned: 69 (million)
% 3.23/0.87  % (9915)------------------------------
% 3.23/0.87  % (9915)------------------------------
% 3.23/0.88  % (9918)Instruction limit reached!
% 3.23/0.88  % (9918)------------------------------
% 3.23/0.88  % (9918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.23/0.88  % (9918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.23/0.88  % (9918)Termination reason: Unknown
% 3.23/0.88  % (9918)Termination phase: Saturation
% 3.23/0.88  
% 3.23/0.88  % (9918)Memory used [KB]: 7036
% 3.23/0.88  % (9918)Time elapsed: 0.212 s
% 3.23/0.88  % (9918)Instructions burned: 90 (million)
% 3.23/0.88  % (9918)------------------------------
% 3.23/0.88  % (9918)------------------------------
% 3.23/0.89  % (9910)Instruction limit reached!
% 3.23/0.89  % (9910)------------------------------
% 3.23/0.89  % (9910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.23/0.89  % (9910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.23/0.89  % (9910)Termination reason: Unknown
% 3.23/0.89  % (9910)Termination phase: Saturation
% 3.23/0.89  
% 3.23/0.89  % (9910)Memory used [KB]: 6908
% 3.23/0.89  % (9910)Time elapsed: 0.286 s
% 3.23/0.89  % (9910)Instructions burned: 91 (million)
% 3.23/0.89  % (9910)------------------------------
% 3.23/0.89  % (9910)------------------------------
% 3.47/0.90  % (9929)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.47/0.92  % (9928)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.57/0.94  % (9925)Instruction limit reached!
% 3.57/0.94  % (9925)------------------------------
% 3.57/0.94  % (9925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.96  % (9925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.96  % (9925)Termination reason: Unknown
% 3.57/0.96  % (9925)Termination phase: Saturation
% 3.57/0.96  
% 3.57/0.96  % (9925)Memory used [KB]: 6780
% 3.57/0.96  % (9925)Time elapsed: 0.036 s
% 3.57/0.96  % (9925)Instructions burned: 68 (million)
% 3.57/0.96  % (9925)------------------------------
% 3.57/0.96  % (9925)------------------------------
% 3.57/0.98  % (9930)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.57/0.98  % (9896)Instruction limit reached!
% 3.57/0.98  % (9896)------------------------------
% 3.57/0.98  % (9896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.98  % (9896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.98  % (9896)Termination reason: Unknown
% 3.57/0.98  % (9896)Termination phase: Saturation
% 3.57/0.98  
% 3.57/0.98  % (9896)Memory used [KB]: 3198
% 3.57/0.98  % (9896)Time elapsed: 0.405 s
% 3.57/0.98  % (9896)Instructions burned: 212 (million)
% 3.57/0.98  % (9896)------------------------------
% 3.57/0.98  % (9896)------------------------------
% 3.57/0.99  % (9931)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.57/0.99  % (9932)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.82/1.02  % (9821)First to succeed.
% 3.82/1.02  % (9933)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.82/1.04  % (9821)Refutation found. Thanks to Tanya!
% 3.82/1.04  % SZS status Theorem for theBenchmark
% 3.82/1.04  % SZS output start Proof for theBenchmark
% See solution above
% 3.82/1.05  % (9821)------------------------------
% 3.82/1.05  % (9821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.82/1.05  % (9821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.82/1.05  % (9821)Termination reason: Refutation
% 3.82/1.05  
% 3.82/1.05  % (9821)Memory used [KB]: 8315
% 3.82/1.05  % (9821)Time elapsed: 0.623 s
% 3.82/1.05  % (9821)Instructions burned: 289 (million)
% 3.82/1.05  % (9821)------------------------------
% 3.82/1.05  % (9821)------------------------------
% 3.82/1.05  % (9794)Success in time 0.694 s
%------------------------------------------------------------------------------