TSTP Solution File: SYN036^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN036^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 07:42:21 EDT 2024

% Result   : Theorem 0.14s 0.47s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   99 (   5 unt;  26 typ;   0 def)
%            Number of atoms       : 1354 (   0 equ;   0 cnn)
%            Maximal formula atoms : 1024 (  18 avg)
%            Number of connectives : 3464 ( 665   ~;1140   |; 127   &;1518   @)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  160 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  26 usr;  21 con; 0-1 aty)
%            Number of variables   :  202 (   0   ^ 194   !;   8   ?; 202   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    cQ: $i > $o ).

thf(decl_23,type,
    cP: $i > $o ).

thf(decl_24,type,
    esk1_1: $i > $i ).

thf(decl_25,type,
    esk2_0: $i ).

thf(decl_26,type,
    esk3_0: $i ).

thf(decl_27,type,
    esk4_0: $i ).

thf(decl_28,type,
    esk5_0: $i ).

thf(decl_29,type,
    esk6_0: $i ).

thf(decl_30,type,
    esk7_1: $i > $i ).

thf(decl_31,type,
    esk8_0: $i ).

thf(decl_32,type,
    esk9_0: $i ).

thf(decl_33,type,
    esk10_0: $i ).

thf(decl_34,type,
    esk11_0: $i ).

thf(decl_35,type,
    esk12_0: $i ).

thf(decl_36,type,
    esk13_1: $i > $i ).

thf(decl_37,type,
    esk14_0: $i ).

thf(decl_38,type,
    esk15_0: $i ).

thf(decl_39,type,
    esk16_0: $i ).

thf(decl_40,type,
    esk17_0: $i ).

thf(decl_41,type,
    esk18_0: $i ).

thf(decl_42,type,
    esk19_1: $i > $i ).

thf(decl_43,type,
    esk20_0: $i ).

thf(decl_44,type,
    esk21_0: $i ).

thf(decl_45,type,
    esk22_0: $i ).

thf(decl_46,type,
    esk23_0: $i ).

thf(decl_47,type,
    esk24_0: $i ).

thf(cX2129,conjecture,
    ( ( ? [X1: $i] :
        ! [X2: $i] :
          ( ( cP @ X1 )
        <=> ( cP @ X2 ) )
    <=> ( ? [X1: $i] : ( cQ @ X1 )
      <=> ! [X2: $i] : ( cP @ X2 ) ) )
  <=> ( ? [X1: $i] :
        ! [X2: $i] :
          ( ( cQ @ X1 )
        <=> ( cQ @ X2 ) )
    <=> ( ? [X1: $i] : ( cP @ X1 )
      <=> ! [X2: $i] : ( cQ @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2129) ).

thf(c_0_1,negated_conjecture,
    ~ ( ( ? [X1: $i] :
          ! [X2: $i] :
            ( ( cP @ X1 )
          <=> ( cP @ X2 ) )
      <=> ( ? [X1: $i] : ( cQ @ X1 )
        <=> ! [X2: $i] : ( cP @ X2 ) ) )
    <=> ( ? [X1: $i] :
          ! [X2: $i] :
            ( ( cQ @ X1 )
          <=> ( cQ @ X2 ) )
      <=> ( ? [X1: $i] : ( cP @ X1 )
        <=> ! [X2: $i] : ( cQ @ X2 ) ) ) ),
    inference(assume_negation,[status(cth)],[cX2129]) ).

thf(c_0_2,negated_conjecture,
    ! [X11: $i,X13: $i,X16: $i,X18: $i,X19: $i,X20: $i,X23: $i,X25: $i,X28: $i,X30: $i,X31: $i,X32: $i,X35: $i,X37: $i,X38: $i,X41: $i,X44: $i,X46: $i,X47: $i,X49: $i,X50: $i,X53: $i,X56: $i,X58: $i] :
      ( ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ~ ( cP @ X11 )
        | ~ ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cQ @ X13 )
        | ~ ( cP @ esk2_0 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ( cQ @ esk3_0 )
        | ( cP @ X16 )
        | ( cP @ X11 )
        | ( cP @ ( esk1_1 @ X11 ) ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ esk4_0 )
        | ( cP @ X18 ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cQ @ X19 )
        | ( cP @ X20 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ~ ( cQ @ X23 )
        | ~ ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cP @ X25 )
        | ~ ( cQ @ esk8_0 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ( cP @ esk9_0 )
        | ( cQ @ X28 )
        | ( cQ @ X23 )
        | ( cQ @ ( esk7_1 @ X23 ) )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ esk10_0 )
        | ( cQ @ X30 )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cP @ X31 )
        | ( cQ @ X32 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cQ @ esk11_0 )
        | ( cP @ esk12_0 )
        | ~ ( cQ @ X30 )
        | ( cQ @ esk10_0 )
        | ~ ( cP @ esk5_0 )
        | ( cQ @ esk6_0 )
        | ~ ( cP @ X18 )
        | ( cP @ esk4_0 ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ~ ( cP @ X35 )
        | ~ ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cQ @ X37 )
        | ( cP @ X38 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ esk14_0 )
        | ( cQ @ esk15_0 )
        | ( cP @ X35 )
        | ( cP @ ( esk13_1 @ X35 ) ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ~ ( cQ @ X41 )
        | ~ ( cP @ esk16_0 ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ esk18_0 )
        | ( cP @ X46 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ~ ( cQ @ X47 )
        | ~ ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cP @ X49 )
        | ( cQ @ X50 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ esk20_0 )
        | ( cP @ esk21_0 )
        | ( cQ @ X47 )
        | ( cQ @ ( esk19_1 @ X47 ) )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ~ ( cP @ X53 )
        | ~ ( cQ @ esk22_0 )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ esk24_0 )
        | ( cQ @ X58 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) )
      & ( ~ ( cQ @ X58 )
        | ( cQ @ esk24_0 )
        | ( cP @ esk23_0 )
        | ( cQ @ X56 )
        | ~ ( cP @ X46 )
        | ( cP @ esk18_0 )
        | ( cQ @ esk17_0 )
        | ( cP @ X44 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X6: $i,X5: $i,X4: $i] :
      ( ( cQ @ X2 )
      | ( cQ @ esk10_0 )
      | ( cP @ X5 )
      | ( cP @ X6 )
      | ~ ( cP @ X1 )
      | ~ ( cQ @ X3 )
      | ~ ( cQ @ X4 )
      | ~ ( cP @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( cQ @ X2 )
      | ( cQ @ esk10_0 )
      | ( cP @ X5 )
      | ( cP @ esk4_0 )
      | ~ ( cP @ X1 )
      | ~ ( cQ @ X3 )
      | ~ ( cQ @ X4 )
      | ~ ( cP @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( cQ @ X2 )
      | ( cQ @ esk10_0 )
      | ~ ( cP @ X1 )
      | ~ ( cQ @ X3 )
      | ~ ( cQ @ X4 )
      | ~ ( cP @ esk2_0 )
      | ~ ( cP @ X5 )
      | ~ ( cP @ ( esk1_1 @ X5 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cQ @ esk10_0 )
      | ( cP @ X1 )
      | ~ ( cP @ esk4_0 )
      | ~ ( cQ @ X2 ) ),
    inference(condense,[status(thm)],[c_0_3]) ).

thf(c_0_7,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ esk4_0 )
      | ( cQ @ esk10_0 )
      | ~ ( cQ @ X1 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[c_0_4]) ).

thf(c_0_8,negated_conjecture,
    ! [X2: $i,X1: $i] :
      ( ( cQ @ esk10_0 )
      | ~ ( cP @ ( esk1_1 @ X1 ) )
      | ~ ( cP @ esk2_0 )
      | ~ ( cQ @ X2 )
      | ~ ( cP @ X1 ) ),
    inference(condense,[status(thm)],[c_0_5]) ).

thf(c_0_9,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( cQ @ esk10_0 )
      | ( cP @ X1 )
      | ~ ( cQ @ X2 )
      | ~ ( cP @ X3 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7])]) ).

thf(c_0_10,negated_conjecture,
    ! [X1: $i] :
      ( ( cQ @ esk10_0 )
      | ~ ( cP @ esk2_0 )
      | ~ ( cQ @ X1 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: $i,X2: $i,X5: $i,X4: $i,X3: $i] :
      ( ( cQ @ esk24_0 )
      | ( cP @ esk23_0 )
      | ( cQ @ X2 )
      | ( cP @ X4 )
      | ( cP @ X5 )
      | ( cP @ ( esk13_1 @ X5 ) )
      | ~ ( cQ @ X1 )
      | ~ ( cQ @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i,X4: $i,X5: $i,X6: $i] :
      ( ( cQ @ X2 )
      | ( cQ @ X3 )
      | ( cP @ X5 )
      | ( cP @ esk4_0 )
      | ~ ( cP @ X1 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cQ @ X4 )
      | ~ ( cP @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cQ @ esk10_0 )
      | ~ ( cQ @ X1 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9])]) ).

thf(c_0_14,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ ( esk13_1 @ X1 ) )
      | ( cP @ esk23_0 )
      | ( cQ @ esk24_0 )
      | ( cP @ X1 )
      | ~ ( cQ @ X2 ) ),
    inference(condense,[status(thm)],[c_0_11]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X6: $i,X5: $i,X4: $i] :
      ( ( cQ @ X2 )
      | ( cQ @ X3 )
      | ( cP @ X5 )
      | ( cP @ X6 )
      | ~ ( cP @ X1 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cQ @ X4 )
      | ~ ( cP @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ esk4_0 )
      | ( cQ @ X1 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[c_0_12]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i] :
      ( ( cQ @ esk24_0 )
      | ( cQ @ esk10_0 )
      | ~ ( cQ @ X1 ) ),
    inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14])]),c_0_13]) ).

thf(c_0_18,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ X1 )
      | ( cQ @ X2 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cP @ esk4_0 ) ),
    inference(condense,[status(thm)],[c_0_15]) ).

thf(c_0_19,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cQ @ esk24_0 )
      | ( cP @ esk4_0 )
      | ~ ( cP @ X1 )
      | ~ ( cQ @ X2 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17])]) ).

thf(c_0_20,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( cQ @ X2 )
      | ( cQ @ X3 )
      | ~ ( cP @ X1 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cQ @ X4 )
      | ~ ( cP @ esk2_0 )
      | ~ ( cP @ X5 )
      | ~ ( cP @ ( esk1_1 @ X5 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cQ @ esk24_0 )
      | ( cP @ X1 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19])]) ).

thf(c_0_22,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cQ @ X1 )
      | ~ ( cP @ ( esk1_1 @ X2 ) )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cP @ esk2_0 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[c_0_20]) ).

thf(c_0_23,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( cQ @ esk24_0 )
      | ( cP @ X1 )
      | ~ ( cP @ X2 )
      | ~ ( cQ @ X3 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_17]) ).

thf(c_0_24,negated_conjecture,
    ( ( cQ @ esk24_0 )
    | ~ ( cQ @ esk10_0 )
    | ~ ( cP @ esk2_0 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23])]) ).

thf(c_0_25,negated_conjecture,
    ! [X1: $i] :
      ( ( cQ @ esk24_0 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cP @ X1 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_23])]) ).

thf(c_0_26,negated_conjecture,
    ( ( cQ @ esk24_0 )
    | ~ ( cQ @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_14])]),c_0_25]) ).

thf(c_0_27,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i,X5: $i,X4: $i] :
      ( ( cQ @ X2 )
      | ( cQ @ X3 )
      | ( cQ @ ( esk19_1 @ X3 ) )
      | ( cP @ esk18_0 )
      | ( cQ @ esk17_0 )
      | ( cP @ X5 )
      | ~ ( cP @ X1 )
      | ~ ( cP @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_28,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( cP @ esk9_0 )
      | ( cQ @ X1 )
      | ( cQ @ X2 )
      | ( cQ @ ( esk7_1 @ X2 ) )
      | ( cQ @ esk3_0 )
      | ( cP @ X3 )
      | ( cP @ X4 )
      | ( cP @ ( esk1_1 @ X4 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_29,negated_conjecture,
    ! [X1: $i] :
      ( ( cQ @ esk24_0 )
      | ~ ( cQ @ X1 ) ),
    inference(spm,[status(thm)],[c_0_26,c_0_17]) ).

thf(c_0_30,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cQ @ ( esk19_1 @ X1 ) )
      | ( cP @ esk18_0 )
      | ( cQ @ esk17_0 )
      | ( cQ @ X1 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[c_0_27]) ).

thf(c_0_31,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ ( esk1_1 @ X1 ) )
      | ( cQ @ ( esk7_1 @ X2 ) )
      | ( cP @ esk9_0 )
      | ( cQ @ esk3_0 )
      | ( cP @ X1 )
      | ( cQ @ X2 ) ),
    inference(condense,[status(thm)],[c_0_28]) ).

thf(c_0_32,negated_conjecture,
    ! [X3: $i,X5: $i,X4: $i,X2: $i,X1: $i] :
      ( ( cQ @ X2 )
      | ( cQ @ X3 )
      | ( cQ @ ( esk19_1 @ X3 ) )
      | ( cP @ X4 )
      | ( cQ @ esk17_0 )
      | ( cP @ X5 )
      | ~ ( cP @ X1 )
      | ~ ( cP @ esk18_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_33,negated_conjecture,
    ! [X1: $i] :
      ( ( cP @ esk18_0 )
      | ( cQ @ esk24_0 )
      | ~ ( cP @ X1 ) ),
    inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30])]),c_0_29]) ).

thf(c_0_34,negated_conjecture,
    ! [X1: $i] :
      ( ( cP @ ( esk1_1 @ X1 ) )
      | ( cP @ esk9_0 )
      | ( cQ @ esk24_0 )
      | ( cP @ X1 ) ),
    inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_31])]),c_0_29]) ).

thf(c_0_35,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( cQ @ X2 )
      | ( cQ @ X3 )
      | ( cQ @ ( esk19_1 @ X3 ) )
      | ( cQ @ esk15_0 )
      | ~ ( cP @ X1 )
      | ~ ( cP @ esk14_0 )
      | ~ ( cP @ X4 )
      | ~ ( cP @ ( esk13_1 @ X4 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_36,negated_conjecture,
    ! [X2: $i,X1: $i] :
      ( ( cQ @ ( esk19_1 @ X1 ) )
      | ( cQ @ esk17_0 )
      | ( cP @ X2 )
      | ( cQ @ X1 )
      | ~ ( cP @ esk18_0 ) ),
    inference(condense,[status(thm)],[c_0_32]) ).

thf(c_0_37,negated_conjecture,
    ( ( cQ @ esk24_0 )
    | ( cP @ esk18_0 ) ),
    inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34])]),c_0_33]) ).

thf(c_0_38,negated_conjecture,
    ! [X1: $i,X2: $i,X5: $i,X4: $i,X3: $i] :
      ( ( cQ @ X1 )
      | ( cP @ esk23_0 )
      | ( cQ @ X2 )
      | ( cP @ X4 )
      | ( cP @ X5 )
      | ( cP @ ( esk13_1 @ X5 ) )
      | ~ ( cQ @ esk24_0 )
      | ~ ( cQ @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_39,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cQ @ ( esk19_1 @ X1 ) )
      | ( cQ @ esk15_0 )
      | ( cQ @ X1 )
      | ~ ( cP @ ( esk13_1 @ X2 ) )
      | ~ ( cP @ esk14_0 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[c_0_35]) ).

thf(c_0_40,negated_conjecture,
    ! [X1: $i] :
      ( ( cQ @ esk24_0 )
      | ( cP @ X1 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_29]),c_0_29]),c_0_29]) ).

thf(c_0_41,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ ( esk13_1 @ X1 ) )
      | ( cP @ esk23_0 )
      | ( cP @ X1 )
      | ( cQ @ X2 )
      | ~ ( cQ @ esk24_0 ) ),
    inference(condense,[status(thm)],[c_0_38]) ).

thf(c_0_42,negated_conjecture,
    cQ @ esk24_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40])]),c_0_40]),c_0_29]),c_0_29]),c_0_29]) ).

thf(c_0_43,negated_conjecture,
    ! [X1: $i] :
      ( ( cP @ esk18_0 )
      | ( cQ @ esk10_0 )
      | ~ ( cP @ X1 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_30])]),c_0_13]),c_0_13]) ).

thf(c_0_44,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ ( esk13_1 @ X1 ) )
      | ( cP @ esk23_0 )
      | ( cP @ X1 )
      | ( cQ @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).

thf(c_0_45,negated_conjecture,
    ( ( cQ @ esk10_0 )
    | ( cP @ esk18_0 ) ),
    inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44])]),c_0_43]) ).

thf(c_0_46,negated_conjecture,
    ! [X1: $i] :
      ( ( cQ @ esk10_0 )
      | ~ ( cQ @ X1 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_45]) ).

thf(c_0_47,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( cP @ esk4_0 )
      | ( cQ @ X1 )
      | ~ ( cP @ X2 )
      | ~ ( cQ @ X3 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_46]) ).

thf(c_0_48,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( cP @ X1 )
      | ( cQ @ X2 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cP @ X3 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_47])]) ).

thf(c_0_49,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( cQ @ X1 )
      | ( cP @ X2 )
      | ~ ( cP @ X3 )
      | ~ ( cQ @ X4 ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_46]) ).

thf(c_0_50,negated_conjecture,
    ! [X1: $i] :
      ( ( cQ @ X1 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cP @ esk2_0 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_49])]) ).

thf(c_0_51,negated_conjecture,
    ! [X1: $i,X4: $i,X3: $i,X2: $i] :
      ( ( cP @ esk21_0 )
      | ( cP @ X3 )
      | ( cP @ X4 )
      | ( cP @ ( esk13_1 @ X4 ) )
      | ~ ( cQ @ esk20_0 )
      | ~ ( cQ @ X1 )
      | ~ ( cQ @ ( esk19_1 @ X1 ) )
      | ~ ( cQ @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_52,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cQ @ X1 )
      | ~ ( cQ @ esk10_0 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49])]) ).

thf(c_0_53,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ ( esk13_1 @ X1 ) )
      | ( cP @ esk21_0 )
      | ( cP @ X1 )
      | ~ ( cQ @ ( esk19_1 @ X2 ) )
      | ~ ( cQ @ esk20_0 )
      | ~ ( cQ @ X2 ) ),
    inference(condense,[status(thm)],[c_0_51]) ).

thf(c_0_54,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( cP @ X4 )
      | ( cP @ esk4_0 )
      | ~ ( cP @ X1 )
      | ~ ( cQ @ esk8_0 )
      | ~ ( cQ @ X2 )
      | ~ ( cQ @ ( esk7_1 @ X2 ) )
      | ~ ( cQ @ X3 )
      | ~ ( cP @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_55,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( cQ @ X1 )
      | ~ ( cP @ X2 )
      | ~ ( cQ @ X3 ) ),
    inference(spm,[status(thm)],[c_0_52,c_0_46]) ).

thf(c_0_56,negated_conjecture,
    ! [X1: $i] :
      ( ( cP @ ( esk13_1 @ X1 ) )
      | ( cP @ esk23_0 )
      | ( cP @ esk21_0 )
      | ( cP @ X1 ) ),
    inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_44])]),c_0_44]) ).

thf(c_0_57,negated_conjecture,
    ! [X1: $i,X2: $i,X5: $i,X4: $i,X3: $i] :
      ( ( cP @ X4 )
      | ( cP @ X5 )
      | ~ ( cP @ X1 )
      | ~ ( cQ @ esk8_0 )
      | ~ ( cQ @ X2 )
      | ~ ( cQ @ ( esk7_1 @ X2 ) )
      | ~ ( cQ @ X3 )
      | ~ ( cP @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_58,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ esk4_0 )
      | ~ ( cQ @ ( esk7_1 @ X1 ) )
      | ~ ( cQ @ esk8_0 )
      | ~ ( cQ @ X1 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[c_0_54]) ).

thf(c_0_59,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cQ @ X1 )
      | ~ ( cQ @ X2 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56])]),c_0_55]),c_0_55]) ).

thf(c_0_60,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cP @ X1 )
      | ~ ( cQ @ esk8_0 )
      | ~ ( cQ @ X2 )
      | ~ ( cQ @ ( esk7_1 @ X2 ) )
      | ~ ( cQ @ X3 )
      | ~ ( cP @ esk2_0 )
      | ~ ( cP @ X4 )
      | ~ ( cP @ ( esk1_1 @ X4 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_61,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP @ X1 )
      | ~ ( cQ @ ( esk7_1 @ X2 ) )
      | ~ ( cQ @ esk8_0 )
      | ~ ( cP @ esk4_0 )
      | ~ ( cQ @ X2 ) ),
    inference(condense,[status(thm)],[c_0_57]) ).

thf(c_0_62,negated_conjecture,
    ! [X1: $i] :
      ( ( cP @ esk4_0 )
      | ~ ( cQ @ esk8_0 )
      | ~ ( cP @ X1 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47])]) ).

thf(c_0_63,negated_conjecture,
    ! [X1: $i] : ( cQ @ X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_42]) ).

thf(c_0_64,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ~ ( cQ @ ( esk7_1 @ X1 ) )
      | ~ ( cP @ ( esk1_1 @ X2 ) )
      | ~ ( cQ @ esk8_0 )
      | ~ ( cP @ esk2_0 )
      | ~ ( cQ @ X1 )
      | ~ ( cP @ X2 ) ),
    inference(condense,[status(thm)],[c_0_60]) ).

thf(c_0_65,negated_conjecture,
    ! [X1: $i] :
      ( ( cP @ X1 )
      | ~ ( cQ @ esk8_0 )
      | ~ ( cP @ esk4_0 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_55])]) ).

thf(c_0_66,negated_conjecture,
    ! [X1: $i] :
      ( ( cP @ esk4_0 )
      | ~ ( cP @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).

thf(c_0_67,negated_conjecture,
    ! [X1: $i] :
      ( ~ ( cP @ ( esk1_1 @ X1 ) )
      | ~ ( cQ @ esk8_0 )
      | ~ ( cP @ esk2_0 )
      | ~ ( cP @ X1 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_55])]) ).

thf(c_0_68,negated_conjecture,
    ! [X1: $i] :
      ( ( cP @ X1 )
      | ~ ( cP @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_63])]) ).

thf(c_0_69,negated_conjecture,
    cP @ esk4_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_56])]),c_0_66]),c_0_66]) ).

thf(c_0_70,negated_conjecture,
    ! [X1: $i] :
      ( ~ ( cP @ ( esk1_1 @ X1 ) )
      | ~ ( cP @ esk2_0 )
      | ~ ( cP @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_63])]) ).

thf(c_0_71,negated_conjecture,
    ! [X1: $i] : ( cP @ X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).

thf(c_0_72,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_71]),c_0_71])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN036^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n009.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 15:21:23 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.14/0.41  Running higher-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/0.47  # Version: 3.1.0-ho
% 0.14/0.47  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47  # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.47  # Starting ho_unfolding_6 with 300s (1) cores
% 0.14/0.47  # Starting sh4l with 300s (1) cores
% 0.14/0.47  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.14/0.47  # new_ho_10 with pid 13426 completed with status 0
% 0.14/0.47  # Result found by new_ho_10
% 0.14/0.47  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47  # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.47  # No SInE strategy applied
% 0.14/0.47  # Search class: HGHNF-FSLF11-SFFFFFNN
% 0.14/0.47  # partial match(1): FGHNF-FSLF11-SFFFFFNN
% 0.14/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 811s (1) cores
% 0.14/0.47  # Starting new_ho_10 with 151s (1) cores
% 0.14/0.47  # Starting new_bool_3 with 136s (1) cores
% 0.14/0.47  # Starting new_bool_1 with 136s (1) cores
% 0.14/0.47  # Starting sh5l with 136s (1) cores
% 0.14/0.47  # sh5l with pid 13442 completed with status 0
% 0.14/0.47  # Result found by sh5l
% 0.14/0.47  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47  # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.47  # No SInE strategy applied
% 0.14/0.47  # Search class: HGHNF-FSLF11-SFFFFFNN
% 0.14/0.47  # partial match(1): FGHNF-FSLF11-SFFFFFNN
% 0.14/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 811s (1) cores
% 0.14/0.47  # Starting new_ho_10 with 151s (1) cores
% 0.14/0.47  # Starting new_bool_3 with 136s (1) cores
% 0.14/0.47  # Starting new_bool_1 with 136s (1) cores
% 0.14/0.47  # Starting sh5l with 136s (1) cores
% 0.14/0.47  # Preprocessing time       : 0.004 s
% 0.14/0.47  # Presaturation interreduction done
% 0.14/0.47  
% 0.14/0.47  # Proof found!
% 0.14/0.47  # SZS status Theorem
% 0.14/0.47  # SZS output start CNFRefutation
% See solution above
% 0.14/0.47  # Parsed axioms                        : 3
% 0.14/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.47  # Initial clauses                      : 130
% 0.14/0.47  # Removed in clause preprocessing      : 2
% 0.14/0.47  # Initial clauses in saturation        : 128
% 0.14/0.47  # Processed clauses                    : 467
% 0.14/0.47  # ...of these trivial                  : 0
% 0.14/0.47  # ...subsumed                          : 180
% 0.14/0.47  # ...remaining for further processing  : 287
% 0.14/0.47  # Other redundant clauses eliminated   : 0
% 0.14/0.47  # Clauses deleted for lack of memory   : 0
% 0.14/0.47  # Backward-subsumed                    : 181
% 0.14/0.47  # Backward-rewritten                   : 32
% 0.14/0.47  # Generated clauses                    : 928
% 0.14/0.47  # ...of the previous two non-redundant : 758
% 0.14/0.47  # ...aggressively subsumed             : 0
% 0.14/0.47  # Contextual simplify-reflections      : 96
% 0.14/0.47  # Paramodulations                      : 928
% 0.14/0.47  # Factorizations                       : 0
% 0.14/0.47  # NegExts                              : 0
% 0.14/0.47  # Equation resolutions                 : 0
% 0.14/0.47  # Disequality decompositions           : 0
% 0.14/0.47  # Total rewrite steps                  : 39
% 0.14/0.47  # ...of those cached                   : 14
% 0.14/0.47  # Propositional unsat checks           : 0
% 0.14/0.47  #    Propositional check models        : 0
% 0.14/0.47  #    Propositional check unsatisfiable : 0
% 0.14/0.47  #    Propositional clauses             : 0
% 0.14/0.47  #    Propositional clauses after purity: 0
% 0.14/0.47  #    Propositional unsat core size     : 0
% 0.14/0.47  #    Propositional preprocessing time  : 0.000
% 0.14/0.47  #    Propositional encoding time       : 0.000
% 0.14/0.47  #    Propositional solver time         : 0.000
% 0.14/0.47  #    Success case prop preproc time    : 0.000
% 0.14/0.47  #    Success case prop encoding time   : 0.000
% 0.14/0.47  #    Success case prop solver time     : 0.000
% 0.14/0.47  # Current number of processed clauses  : 2
% 0.14/0.47  #    Positive orientable unit clauses  : 2
% 0.14/0.47  #    Positive unorientable unit clauses: 0
% 0.14/0.47  #    Negative unit clauses             : 0
% 0.14/0.47  #    Non-unit-clauses                  : 0
% 0.14/0.47  # Current number of unprocessed clauses: 26
% 0.14/0.47  # ...number of literals in the above   : 141
% 0.14/0.47  # Current number of archived formulas  : 0
% 0.14/0.47  # Current number of archived clauses   : 285
% 0.14/0.47  # Clause-clause subsumption calls (NU) : 3769
% 0.14/0.47  # Rec. Clause-clause subsumption calls : 1261
% 0.14/0.47  # Non-unit clause-clause subsumptions  : 980
% 0.14/0.47  # Unit Clause-clause subsumption calls : 41
% 0.14/0.47  # Rewrite failures with RHS unbound    : 0
% 0.14/0.47  # BW rewrite match attempts            : 25
% 0.14/0.47  # BW rewrite match successes           : 25
% 0.14/0.47  # Condensation attempts                : 467
% 0.14/0.47  # Condensation successes               : 295
% 0.14/0.47  # Termbank termtop insertions          : 73870
% 0.14/0.47  # Search garbage collected termcells   : 1015
% 0.14/0.47  
% 0.14/0.47  # -------------------------------------------------
% 0.14/0.47  # User time                : 0.042 s
% 0.14/0.47  # System time              : 0.003 s
% 0.14/0.47  # Total time               : 0.045 s
% 0.14/0.47  # Maximum resident set size: 2192 pages
% 0.14/0.47  
% 0.14/0.47  # -------------------------------------------------
% 0.14/0.47  # User time                : 0.201 s
% 0.14/0.47  # System time              : 0.011 s
% 0.14/0.47  # Total time               : 0.212 s
% 0.14/0.47  # Maximum resident set size: 1696 pages
% 0.14/0.47  % E---3.1 exiting
% 0.14/0.47  % E exiting
%------------------------------------------------------------------------------