TSTP Solution File: SYO877^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO877^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 : Tue May 21 08:50:17 EDT 2024

% Result   : Theorem 57.06s 13.81s
% Output   : CNFRefutation 57.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   29 (   5 unt;  11 typ;   0 def)
%            Number of atoms       :  309 (  24 equ;   0 cnn)
%            Maximal formula atoms :  198 (  17 avg)
%            Number of connectives : 4505 ( 105   ~; 143   |;  45   &;4200   @)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   45 (  45   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   72 (   3   ^  56   !;  13   ?;  72   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_23,type,
    c_False: $o ).

thf(decl_25,type,
    c_not: $o > $o ).

thf(decl_26,type,
    c_and: $o > $o > $o ).

thf(decl_268,type,
    epred143_0: $o ).

thf(decl_282,type,
    epred145_2: $o > $o > $o ).

thf(decl_484,type,
    esk207_0: $i > $i > $i ).

thf(decl_485,type,
    epred153_0: $i > $o ).

thf(decl_486,type,
    esk208_0: $i > $i ).

thf(decl_487,type,
    esk209_0: $i ).

thf(decl_488,type,
    esk210_0: $i ).

thf(decl_489,type,
    esk211_0: $i ).

thf(ax13,axiom,
    ( c_not
    = ( ^ [X17: $o] :
          ( X17
         => c_False ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

thf(conj,conjecture,
    ( c_not
    @ ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i] :
        ( c_and
        @ ( X83
          = ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
        @ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

thf(ax14,axiom,
    ( c_and
    = ( ^ [X18: $o,X19: $o] :
        ! [X20: $o] :
          ( ( X18
           => ( X19
             => X20 ) )
         => X20 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

thf(c_0_3,plain,
    ( epred143_0
  <=> ( ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i] :
          ( ( ( X83
             != ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
            | ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                | ( c_and @ $true @ $true ) )
              & ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                | ( c_and @ $true @ $false ) ) ) )
          & ( ( X83
              = ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
            | ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                | ( c_and @ $false @ $true ) )
              & ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                | ( c_and @ $false @ $false ) ) ) ) )
      | ( c_not @ $false ) ) ),
    introduced(definition) ).

thf(c_0_4,plain,
    ( ( ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i] :
          ( ( ( X83
             != ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
            | ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                | ( c_and @ $true @ $true ) )
              & ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                | ( c_and @ $true @ $false ) ) ) )
          & ( ( X83
              = ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
            | ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                | ( c_and @ $false @ $true ) )
              & ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                | ( c_and @ $false @ $false ) ) ) ) )
      | ( c_not @ $false ) )
   => epred143_0 ),
    inference(split_equiv,[status(thm)],[c_0_3]) ).

thf(c_0_5,plain,
    ! [X238: $o] :
      ( ( c_not @ X238 )
    <=> ( X238
       => c_False ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])]) ).

thf(c_0_6,negated_conjecture,
    ~ ( ( ~ ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i] :
              ( ( ( X83
                 != ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
                | ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                    | ( c_and @ $true @ $true ) )
                  & ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                    | ( c_and @ $true @ $false ) ) ) )
              & ( ( X83
                  = ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
                | ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                    | ( c_and @ $false @ $true ) )
                  & ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
                    | ( c_and @ $false @ $false ) ) ) ) )
        | ( c_not @ $true ) )
      & epred143_0 ),
    inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_3]) ).

thf(c_0_7,plain,
    ( ( ( esk210_0
       != ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | ( esk210_0
        = ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( esk210_0
        = ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( esk210_0
        = ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $false @ $true )
      | ( esk210_0
        = ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ~ ( c_and @ $false @ $true )
      | ( esk210_0
        = ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | epred143_0 )
    & ( ( esk210_0
       != ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $false @ $true )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ~ ( c_and @ $false @ $true )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ( esk210_0
       != ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | ~ ( c_and @ $true @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $true @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $true @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $false @ $true )
      | ~ ( c_and @ $true @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ~ ( c_and @ $false @ $true )
      | ~ ( c_and @ $true @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | epred143_0 )
    & ( ( esk210_0
       != ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $false @ $true )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ~ ( c_and @ $false @ $true )
      | ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ( esk210_0
       != ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
      | ~ ( c_and @ $true @ $false )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $true @ $false )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $true @ $false )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
      | ~ ( c_and @ $false @ $true )
      | ~ ( c_and @ $true @ $false )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ~ ( c_and @ $false @ $false )
      | ~ ( c_and @ $false @ $true )
      | ~ ( c_and @ $true @ $false )
      | ~ ( c_and @ $true @ $true )
      | epred143_0 )
    & ( ~ ( c_not @ $false )
      | epred143_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])]) ).

thf(c_0_8,plain,
    ! [X486: $o] :
      ( ( ~ ( c_not @ X486 )
        | ~ X486
        | c_False )
      & ( X486
        | ( c_not @ X486 ) )
      & ( ~ c_False
        | ( c_not @ X486 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

thf(c_0_9,plain,
    ! [X239: $o,X240: $o] :
      ( ( c_and @ X239 @ X240 )
    <=> ! [X20: $o] :
          ( ( X239
           => ( X240
             => X20 ) )
         => X20 ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])]) ).

thf(c_0_10,negated_conjecture,
    ! [X817: $i > $i > $i,X818: $i > $o,X819: $i > $i,X820: $i,X821: $i,X822: $i] :
      ( ( ~ ( X818 @ ( X819 @ X820 ) )
        | ( c_and @ $true @ $true )
        | ( X821
         != ( X817 @ ( X817 @ X820 @ ( X817 @ X822 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X820 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X820 ) @ ( X817 @ ( X817 @ X822 @ ( X817 @ X821 @ ( X817 @ X821 @ X821 ) ) ) @ X820 ) ) ) @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X819 @ X822 ) @ X820 ) @ ( X817 @ X820 @ X820 ) ) ) @ ( X817 @ X821 @ ( X817 @ X821 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X821 ) @ X822 ) ) @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) @ X821 ) @ ( X819 @ ( X817 @ ( X817 @ X822 @ ( X817 @ X820 @ ( X817 @ ( X819 @ ( X817 @ X820 @ X822 ) ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X819 @ X820 ) @ X821 ) ) @ X821 ) @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X822 @ X820 ) @ X822 ) ) @ X821 ) ) @ X822 ) @ ( X817 @ X822 @ ( X817 @ X820 @ X820 ) ) ) @ X821 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ X820 @ X820 ) ) @ ( X819 @ ( X819 @ ( X817 @ X822 @ ( X819 @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) ) ) ) @ X820 ) @ X821 ) @ ( X817 @ X821 @ X822 ) ) ) ) @ X820 ) @ X820 ) @ ( X819 @ X821 ) ) ) ) @ ( X817 @ ( X817 @ ( X819 @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X822 @ ( X817 @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ X820 @ X821 ) @ X822 ) ) ) @ ( X819 @ ( X817 @ X820 @ X820 ) ) ) ) @ X820 ) @ ( X819 @ X820 ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ X822 ) @ ( X819 @ ( X819 @ ( X819 @ X822 ) ) ) ) @ X822 ) @ X821 ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ X820 ) @ ( X819 @ X821 ) ) @ X821 ) ) ) @ X822 ) @ X821 ) ) )
        | ~ epred143_0 )
      & ( ( X818 @ ( X819 @ X820 ) )
        | ( c_and @ $true @ $false )
        | ( X821
         != ( X817 @ ( X817 @ X820 @ ( X817 @ X822 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X820 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X820 ) @ ( X817 @ ( X817 @ X822 @ ( X817 @ X821 @ ( X817 @ X821 @ X821 ) ) ) @ X820 ) ) ) @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X819 @ X822 ) @ X820 ) @ ( X817 @ X820 @ X820 ) ) ) @ ( X817 @ X821 @ ( X817 @ X821 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X821 ) @ X822 ) ) @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) @ X821 ) @ ( X819 @ ( X817 @ ( X817 @ X822 @ ( X817 @ X820 @ ( X817 @ ( X819 @ ( X817 @ X820 @ X822 ) ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X819 @ X820 ) @ X821 ) ) @ X821 ) @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X822 @ X820 ) @ X822 ) ) @ X821 ) ) @ X822 ) @ ( X817 @ X822 @ ( X817 @ X820 @ X820 ) ) ) @ X821 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ X820 @ X820 ) ) @ ( X819 @ ( X819 @ ( X817 @ X822 @ ( X819 @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) ) ) ) @ X820 ) @ X821 ) @ ( X817 @ X821 @ X822 ) ) ) ) @ X820 ) @ X820 ) @ ( X819 @ X821 ) ) ) ) @ ( X817 @ ( X817 @ ( X819 @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X822 @ ( X817 @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ X820 @ X821 ) @ X822 ) ) ) @ ( X819 @ ( X817 @ X820 @ X820 ) ) ) ) @ X820 ) @ ( X819 @ X820 ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ X822 ) @ ( X819 @ ( X819 @ ( X819 @ X822 ) ) ) ) @ X822 ) @ X821 ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ X820 ) @ ( X819 @ X821 ) ) @ X821 ) ) ) @ X822 ) @ X821 ) ) )
        | ~ epred143_0 )
      & ( ~ ( X818 @ ( X819 @ X820 ) )
        | ( c_and @ $false @ $true )
        | ( X821
          = ( X817 @ ( X817 @ X820 @ ( X817 @ X822 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X820 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X820 ) @ ( X817 @ ( X817 @ X822 @ ( X817 @ X821 @ ( X817 @ X821 @ X821 ) ) ) @ X820 ) ) ) @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X819 @ X822 ) @ X820 ) @ ( X817 @ X820 @ X820 ) ) ) @ ( X817 @ X821 @ ( X817 @ X821 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X821 ) @ X822 ) ) @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) @ X821 ) @ ( X819 @ ( X817 @ ( X817 @ X822 @ ( X817 @ X820 @ ( X817 @ ( X819 @ ( X817 @ X820 @ X822 ) ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X819 @ X820 ) @ X821 ) ) @ X821 ) @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X822 @ X820 ) @ X822 ) ) @ X821 ) ) @ X822 ) @ ( X817 @ X822 @ ( X817 @ X820 @ X820 ) ) ) @ X821 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ X820 @ X820 ) ) @ ( X819 @ ( X819 @ ( X817 @ X822 @ ( X819 @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) ) ) ) @ X820 ) @ X821 ) @ ( X817 @ X821 @ X822 ) ) ) ) @ X820 ) @ X820 ) @ ( X819 @ X821 ) ) ) ) @ ( X817 @ ( X817 @ ( X819 @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X822 @ ( X817 @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ X820 @ X821 ) @ X822 ) ) ) @ ( X819 @ ( X817 @ X820 @ X820 ) ) ) ) @ X820 ) @ ( X819 @ X820 ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ X822 ) @ ( X819 @ ( X819 @ ( X819 @ X822 ) ) ) ) @ X822 ) @ X821 ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ X820 ) @ ( X819 @ X821 ) ) @ X821 ) ) ) @ X822 ) @ X821 ) ) )
        | ~ epred143_0 )
      & ( ( X818 @ ( X819 @ X820 ) )
        | ( c_and @ $false @ $false )
        | ( X821
          = ( X817 @ ( X817 @ X820 @ ( X817 @ X822 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X820 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X820 ) @ ( X817 @ ( X817 @ X822 @ ( X817 @ X821 @ ( X817 @ X821 @ X821 ) ) ) @ X820 ) ) ) @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X819 @ X822 ) @ X820 ) @ ( X817 @ X820 @ X820 ) ) ) @ ( X817 @ X821 @ ( X817 @ X821 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X821 ) @ X822 ) ) @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) @ X821 ) @ ( X819 @ ( X817 @ ( X817 @ X822 @ ( X817 @ X820 @ ( X817 @ ( X819 @ ( X817 @ X820 @ X822 ) ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X819 @ X820 ) @ X821 ) ) @ X821 ) @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X822 @ X820 ) @ X822 ) ) @ X821 ) ) @ X822 ) @ ( X817 @ X822 @ ( X817 @ X820 @ X820 ) ) ) @ X821 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ X820 @ X820 ) ) @ ( X819 @ ( X819 @ ( X817 @ X822 @ ( X819 @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) ) ) ) @ X820 ) @ X821 ) @ ( X817 @ X821 @ X822 ) ) ) ) @ X820 ) @ X820 ) @ ( X819 @ X821 ) ) ) ) @ ( X817 @ ( X817 @ ( X819 @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X822 @ ( X817 @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ X820 @ X821 ) @ X822 ) ) ) @ ( X819 @ ( X817 @ X820 @ X820 ) ) ) ) @ X820 ) @ ( X819 @ X820 ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ X822 ) @ ( X819 @ ( X819 @ ( X819 @ X822 ) ) ) ) @ X822 ) @ X821 ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ X820 ) @ ( X819 @ X821 ) ) @ X821 ) ) ) @ X822 ) @ X821 ) ) )
        | ~ epred143_0 )
      & ( ~ ( c_not @ $true )
        | ~ epred143_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])])])])]) ).

thf(c_0_11,plain,
    ( epred143_0
    | ~ ( c_not @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_12,plain,
    c_not @ ~ $true,
    inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_8])])]) ).

thf(c_0_13,plain,
    ! [X487: $o,X488: $o,X489: $o,X490: $o,X491: $o] :
      ( ( X487
        | X489
        | ~ ( c_and @ X487 @ X488 ) )
      & ( X488
        | X489
        | ~ ( c_and @ X487 @ X488 ) )
      & ( ~ X489
        | X489
        | ~ ( c_and @ X487 @ X488 ) )
      & ( ~ X490
        | ~ X491
        | ( epred145_2 @ X490 @ X491 )
        | ( c_and @ X490 @ X491 ) )
      & ( ~ ( epred145_2 @ X490 @ X491 )
        | ( c_and @ X490 @ X491 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).

thf(c_0_14,negated_conjecture,
    ! [X1: $i > $o,X2: $i,X12: $i > $i,X89: $i > $i > $i,X7: $i,X6: $i] :
      ( ( X1 @ ( X12 @ X2 ) )
      | ( c_and @ $true @ ~ $true )
      | ( X6
       != ( X89 @ ( X89 @ X2 @ ( X89 @ X7 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X6 @ ( X89 @ ( X89 @ X2 @ ( X89 @ X2 @ ( X89 @ ( X89 @ X2 @ ( X89 @ ( X12 @ X2 ) @ ( X89 @ ( X89 @ X7 @ ( X89 @ X6 @ ( X89 @ X6 @ X6 ) ) ) @ X2 ) ) ) @ ( X89 @ ( X12 @ ( X89 @ ( X89 @ ( X12 @ X7 ) @ X2 ) @ ( X89 @ X2 @ X2 ) ) ) @ ( X89 @ X6 @ ( X89 @ X6 @ ( X89 @ ( X89 @ ( X89 @ X2 @ ( X89 @ ( X89 @ X2 @ ( X89 @ ( X12 @ X6 ) @ X7 ) ) @ ( X12 @ ( X89 @ X7 @ X2 ) ) ) ) @ X6 ) @ ( X12 @ ( X89 @ ( X89 @ X7 @ ( X89 @ X2 @ ( X89 @ ( X12 @ ( X89 @ X2 @ X7 ) ) @ X2 ) ) ) @ ( X89 @ ( X89 @ ( X89 @ X6 @ ( X89 @ ( X12 @ X2 ) @ X6 ) ) @ X6 ) @ ( X12 @ ( X12 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X2 @ ( X89 @ ( X89 @ X6 @ ( X89 @ ( X89 @ X7 @ X2 ) @ X7 ) ) @ X6 ) ) @ X7 ) @ ( X89 @ X7 @ ( X89 @ X2 @ X2 ) ) ) @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X6 @ ( X89 @ X2 @ X2 ) ) @ ( X12 @ ( X12 @ ( X89 @ X7 @ ( X12 @ ( X12 @ ( X89 @ X7 @ X2 ) ) ) ) ) ) ) @ X2 ) @ X6 ) @ ( X89 @ X6 @ X7 ) ) ) ) @ X2 ) @ X2 ) @ ( X12 @ X6 ) ) ) ) @ ( X89 @ ( X89 @ ( X12 @ ( X89 @ ( X12 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X7 @ ( X89 @ ( X12 @ ( X12 @ ( X89 @ ( X89 @ X2 @ X6 ) @ X7 ) ) ) @ ( X12 @ ( X89 @ X2 @ X2 ) ) ) ) @ X2 ) @ ( X12 @ X2 ) ) @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X2 @ X7 ) @ ( X12 @ ( X12 @ ( X12 @ X7 ) ) ) ) @ X7 ) @ X6 ) @ X2 ) ) ) @ ( X89 @ ( X89 @ ( X89 @ X6 @ X2 ) @ ( X12 @ X6 ) ) @ X6 ) ) ) @ X7 ) @ X6 ) ) )
      | ~ epred143_0 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_15,plain,
    epred143_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

thf(c_0_16,plain,
    ! [X5: $o] :
      ~ ( c_and @ X5 @ ~ $true ),
    inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_13])])]) ).

thf(c_0_17,negated_conjecture,
    $false,
    inference(flex_resolve,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SYO877^1 : TPTP v8.2.0. Released v7.5.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n026.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon May 20 10:35:23 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.14/0.41  Running higher-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.06/13.81  # Version: 3.1.0-ho
% 57.06/13.81  # partial match(1): HSLMSMSSSSLCHSA
% 57.06/13.81  # Preprocessing class: HSLMSLSSSSLCHSA.
% 57.06/13.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 57.06/13.81  # Starting pre_casc_6 with 1500s (5) cores
% 57.06/13.81  # Starting ehoh_best7 with 300s (1) cores
% 57.06/13.81  # Starting new_bool_8 with 300s (1) cores
% 57.06/13.81  # Starting new_ho_11 with 300s (1) cores
% 57.06/13.81  # new_ho_11 with pid 32265 completed with status 0
% 57.06/13.81  # Result found by new_ho_11
% 57.06/13.81  # partial match(1): HSLMSMSSSSLCHSA
% 57.06/13.81  # Preprocessing class: HSLMSLSSSSLCHSA.
% 57.06/13.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 57.06/13.81  # Starting pre_casc_6 with 1500s (5) cores
% 57.06/13.81  # Starting ehoh_best7 with 300s (1) cores
% 57.06/13.81  # Starting new_bool_8 with 300s (1) cores
% 57.06/13.81  # Starting new_ho_11 with 300s (1) cores
% 57.06/13.81  # No SInE strategy applied
% 57.06/13.81  # Search class: HGHSM-SMLM33-DHSFFSBC
% 57.06/13.81  # partial match(1): HGHSM-SMLM32-DHSFFSBC
% 57.06/13.81  # Scheduled 6 strats onto 1 cores with 288 seconds (288 total)
% 57.06/13.81  # Starting new_ho_10 with 87s (1) cores
% 57.06/13.81  # new_ho_10 with pid 32493 completed with status 0
% 57.06/13.81  # Result found by new_ho_10
% 57.06/13.81  # partial match(1): HSLMSMSSSSLCHSA
% 57.06/13.81  # Preprocessing class: HSLMSLSSSSLCHSA.
% 57.06/13.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 57.06/13.81  # Starting pre_casc_6 with 1500s (5) cores
% 57.06/13.81  # Starting ehoh_best7 with 300s (1) cores
% 57.06/13.81  # Starting new_bool_8 with 300s (1) cores
% 57.06/13.81  # Starting new_ho_11 with 300s (1) cores
% 57.06/13.81  # No SInE strategy applied
% 57.06/13.81  # Search class: HGHSM-SMLM33-DHSFFSBC
% 57.06/13.81  # partial match(1): HGHSM-SMLM32-DHSFFSBC
% 57.06/13.81  # Scheduled 6 strats onto 1 cores with 288 seconds (288 total)
% 57.06/13.81  # Starting new_ho_10 with 87s (1) cores
% 57.06/13.81  # Preprocessing time       : 0.150 s
% 57.06/13.81  # Presaturation interreduction done
% 57.06/13.81  
% 57.06/13.81  # Proof found!
% 57.06/13.81  # SZS status Theorem
% 57.06/13.81  # SZS output start CNFRefutation
% See solution above
% 57.06/13.81  # Parsed axioms                        : 213
% 57.06/13.81  # Removed by relevancy pruning/SinE    : 0
% 57.06/13.81  # Initial clauses                      : 468714
% 57.06/13.81  # Removed in clause preprocessing      : 463874
% 57.06/13.81  # Initial clauses in saturation        : 4840
% 57.06/13.81  # Processed clauses                    : 4899
% 57.06/13.81  # ...of these trivial                  : 162
% 57.06/13.81  # ...subsumed                          : 3312
% 57.06/13.81  # ...remaining for further processing  : 1424
% 57.06/13.81  # Other redundant clauses eliminated   : 72
% 57.06/13.81  # Clauses deleted for lack of memory   : 0
% 57.06/13.81  # Backward-subsumed                    : 154
% 57.06/13.81  # Backward-rewritten                   : 2
% 57.06/13.81  # Generated clauses                    : 59
% 57.06/13.81  # ...of the previous two non-redundant : 61
% 57.06/13.81  # ...aggressively subsumed             : 0
% 57.06/13.81  # Contextual simplify-reflections      : 218
% 57.06/13.81  # Paramodulations                      : 0
% 57.06/13.81  # Factorizations                       : 0
% 57.06/13.81  # NegExts                              : 0
% 57.06/13.81  # Equation resolutions                 : 72
% 57.06/13.81  # Disequality decompositions           : 0
% 57.06/13.81  # Total rewrite steps                  : 371
% 57.06/13.81  # ...of those cached                   : 359
% 57.06/13.81  # Propositional unsat checks           : 0
% 57.06/13.81  #    Propositional check models        : 0
% 57.06/13.81  #    Propositional check unsatisfiable : 0
% 57.06/13.81  #    Propositional clauses             : 0
% 57.06/13.81  #    Propositional clauses after purity: 0
% 57.06/13.81  #    Propositional unsat core size     : 0
% 57.06/13.81  #    Propositional preprocessing time  : 0.000
% 57.06/13.81  #    Propositional encoding time       : 0.000
% 57.06/13.81  #    Propositional solver time         : 0.000
% 57.06/13.81  #    Success case prop preproc time    : 0.000
% 57.06/13.81  #    Success case prop encoding time   : 0.000
% 57.06/13.81  #    Success case prop solver time     : 0.000
% 57.06/13.81  # Current number of processed clauses  : 1209
% 57.06/13.81  #    Positive orientable unit clauses  : 48
% 57.06/13.81  #    Positive unorientable unit clauses: 4
% 57.06/13.81  #    Negative unit clauses             : 20
% 57.06/13.81  #    Non-unit-clauses                  : 1137
% 57.06/13.81  # Current number of unprocessed clauses: 2
% 57.06/13.81  # ...number of literals in the above   : 8
% 57.06/13.81  # Current number of archived formulas  : 0
% 57.06/13.81  # Current number of archived clauses   : 156
% 57.06/13.81  # Clause-clause subsumption calls (NU) : 973363
% 57.06/13.81  # Rec. Clause-clause subsumption calls : 182614
% 57.06/13.81  # Non-unit clause-clause subsumptions  : 1336
% 57.06/13.81  # Unit Clause-clause subsumption calls : 4394
% 57.06/13.81  # Rewrite failures with RHS unbound    : 0
% 57.06/13.81  # BW rewrite match attempts            : 10
% 57.06/13.81  # BW rewrite match successes           : 2
% 57.06/13.81  # Condensation attempts                : 4899
% 57.06/13.81  # Condensation successes               : 217
% 57.06/13.81  # Termbank termtop insertions          : 20105556
% 57.06/13.81  # Search garbage collected termcells   : 2011619
% 57.06/13.81  
% 57.06/13.81  # -------------------------------------------------
% 57.06/13.81  # User time                : 12.236 s
% 57.06/13.81  # System time              : 0.762 s
% 57.06/13.81  # Total time               : 12.998 s
% 57.06/13.81  # Maximum resident set size: 1255112 pages
% 57.06/13.81  
% 57.06/13.81  # -------------------------------------------------
% 57.06/13.81  # User time                : 12.240 s
% 57.06/13.81  # System time              : 0.865 s
% 57.06/13.81  # Total time               : 13.105 s
% 57.06/13.81  # Maximum resident set size: 2192 pages
% 57.06/13.81  % E---3.1 exiting
% 57.06/13.82  % E exiting
%------------------------------------------------------------------------------