TSTP Solution File: SEV095^5 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SEV095^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 15:53:31 EDT 2024

% Result   : Theorem 1.86s 0.73s
% Output   : CNFRefutation 1.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   33 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  333 (  22 equ;   0 cnn)
%            Maximal formula atoms :  168 (  10 avg)
%            Number of connectives : 1447 (  65   ~; 129   |;  29   &;1215   @)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  414 ( 414   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   1 con; 0-3 aty)
%            Number of variables   :  457 ( 378   ^  75   !;   4   ?; 457   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    epred1_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).

thf(decl_23,type,
    epred2_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).

thf(decl_24,type,
    esk1_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).

thf(decl_25,type,
    epred3_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).

thf(decl_26,type,
    esk2_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).

thf(decl_27,type,
    epred4_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).

thf(decl_28,type,
    epred5_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).

thf(decl_29,type,
    epred6_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).

thf(decl_30,type,
    esk3_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).

thf(cTHM122C_pme,conjecture,
    ? [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ! [X3: $i > $o,X4: $i > $o] :
          ( ! [X5: $i] :
              ( ( X2 @ X3 @ X4 @ X5 )
              | ( X1 @ X3 @ X4 @ X5 ) )
         => ! [X6: $i] :
              ( ( X3 @ X6 )
             => ( X4 @ X6 ) ) )
      & ! [X7: $i > $o,X5: $i] :
          ( ( X2 @ X7 @ X7 @ X5 )
          | ( X1 @ X7 @ X7 @ X5 ) )
      & ! [X7: $i > $o,X8: $i > $o,X9: $i > $o] :
          ( ( ! [X5: $i] :
                ( ( X2 @ X7 @ X8 @ X5 )
                | ( X1 @ X7 @ X8 @ X5 ) )
            & ! [X5: $i] :
                ( ( X2 @ X8 @ X9 @ X5 )
                | ( X1 @ X8 @ X9 @ X5 ) ) )
         => ! [X5: $i] :
              ( ( X2 @ X7 @ X9 @ X5 )
              | ( X1 @ X7 @ X9 @ X5 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Y7rISAxc1a/E---3.1_31501.p',cTHM122C_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ? [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
        ( ! [X3: $i > $o,X4: $i > $o] :
            ( ! [X5: $i] :
                ( ( X2 @ X3 @ X4 @ X5 )
                | ( X1 @ X3 @ X4 @ X5 ) )
           => ! [X6: $i] :
                ( ( X3 @ X6 )
               => ( X4 @ X6 ) ) )
        & ! [X7: $i > $o,X5: $i] :
            ( ( X2 @ X7 @ X7 @ X5 )
            | ( X1 @ X7 @ X7 @ X5 ) )
        & ! [X7: $i > $o,X8: $i > $o,X9: $i > $o] :
            ( ( ! [X5: $i] :
                  ( ( X2 @ X7 @ X8 @ X5 )
                  | ( X1 @ X7 @ X8 @ X5 ) )
              & ! [X5: $i] :
                  ( ( X2 @ X8 @ X9 @ X5 )
                  | ( X1 @ X8 @ X9 @ X5 ) ) )
           => ! [X5: $i] :
                ( ( X2 @ X7 @ X9 @ X5 )
                | ( X1 @ X7 @ X9 @ X5 ) ) ) ),
    inference(assume_negation,[status(cth)],[cTHM122C_pme]) ).

thf(c_0_2,negated_conjecture,
    ! [X24: ( $i > $o ) > ( $i > $o ) > $i > $o,X25: ( $i > $o ) > ( $i > $o ) > $i > $o,X28: $i,X35: $i,X36: $i] :
      ( ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
        | ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
      & ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
        | ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
      & ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
        | ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
      & ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
        | ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
      & ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
        | ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
      & ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
        | ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
      & ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
        | ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
      & ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
        | ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
      & ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
      & ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
        | ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
        | ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) ) ),
    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,
    ! [X5: $i,X6: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( X1 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
      | ( X2 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
      | ( X1 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X6 )
      | ( X2 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X6 )
      | ~ ( X2 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X5: $i,X6: $i] :
      ( ( ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        = ( epred4_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) )
      | ( ( epred2_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        = ( epred1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) )
      | ( X1
        @ ( epred4_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ X5 )
      | ( X1
        @ ( epred1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ ( epred2_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ X6 ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_3]) ).

thf(c_0_5,negated_conjecture,
    ( ( ( epred2_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
      = ( epred1_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
    | ( ( epred5_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
      = ( epred4_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_4]) ).

thf(c_0_6,negated_conjecture,
    ! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( X1 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
      | ( X2 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
      | ( epred1_2 @ X2 @ X1 @ ( esk1_2 @ X2 @ X1 ) )
      | ~ ( X2 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    ! [X380: $i] :
      ( ( ( epred2_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X380 )
      <=> ( epred1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X380 ) )
      | ( ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
        = ( epred4_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
    inference(arg_cong,[status(thm)],[c_0_5]) ).

thf(c_0_8,negated_conjecture,
    ! [X5: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        = ( epred4_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) )
      | ( X1
        @ ( epred4_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ X5 )
      | ( epred1_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ X1
        @ ( esk1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_6]) ).

thf(c_0_9,negated_conjecture,
    ! [X5: $i,X6: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( X1 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
      | ( X2 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
      | ( X1 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X6 )
      | ( X2 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X6 )
      | ~ ( X2 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_10,negated_conjecture,
    ! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( X1 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
      | ( X2 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
      | ~ ( X1 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) )
      | ~ ( epred2_2 @ X2 @ X1 @ ( esk1_2 @ X2 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_11,negated_conjecture,
    ! [X5: $i] :
      ( ( ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
        = ( epred4_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
      | ( epred2_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ X5 )
      | ~ ( epred1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X5 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_7]) ).

thf(c_0_12,negated_conjecture,
    ( ( ( epred5_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
      = ( epred4_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
    | ( epred1_2
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ( esk1_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_8]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X5: $i,X6: $i] :
      ( ( ( epred6_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        = ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) )
      | ( ( epred2_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        = ( epred1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) )
      | ( X1
        @ ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ ( epred6_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ X5 )
      | ( X1
        @ ( epred1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ ( epred2_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ X6 ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_9]) ).

thf(c_0_14,negated_conjecture,
    ( ( epred5_2
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
    = ( epred4_2
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11])])]),c_0_12]) ).

thf(c_0_15,negated_conjecture,
    ! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( X1 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
      | ( X2 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
      | ( epred1_2 @ X2 @ X1 @ ( esk1_2 @ X2 @ X1 ) )
      | ~ ( X2 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_16,negated_conjecture,
    ( ( ( epred2_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
      = ( epred1_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
    | ( ( epred6_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
      = ( epred4_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
    inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_13]),c_0_14]) ).

thf(c_0_17,negated_conjecture,
    ! [X5: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( ( epred6_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        = ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) )
      | ( X1
        @ ( epred5_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ ( epred6_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
        @ X5 )
      | ( epred1_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ X1
        @ ( esk1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_15]) ).

thf(c_0_18,negated_conjecture,
    ! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( epred1_2 @ X1 @ X2 @ ( esk1_2 @ X1 @ X2 ) )
      | ~ ( X1 @ ( epred4_2 @ X1 @ X2 ) @ ( epred6_2 @ X1 @ X2 ) @ ( esk3_2 @ X1 @ X2 ) )
      | ~ ( X1 @ ( epred3_2 @ X1 @ X2 ) @ ( epred3_2 @ X1 @ X2 ) @ ( esk2_2 @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_19,negated_conjecture,
    ! [X466: $i] :
      ( ( ( epred2_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X466 )
      <=> ( epred1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X466 ) )
      | ( ( epred6_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
        = ( epred4_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
    inference(arg_cong,[status(thm)],[c_0_16]) ).

thf(c_0_20,negated_conjecture,
    ( ( ( epred6_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
      = ( epred5_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
    | ( epred1_2
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ( esk1_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_17]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( epred1_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ X1
        @ ( esk1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) )
      | ( ( epred6_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 )
       != ( epred4_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X1 ) ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_18]) ).

thf(c_0_22,negated_conjecture,
    ! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( X1 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X5 )
      | ( X2 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X5 )
      | ~ ( X1 @ ( epred4_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ ( esk3_2 @ X2 @ X1 ) )
      | ~ ( X1 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_23,negated_conjecture,
    ! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( X1 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
      | ( X2 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
      | ~ ( X1 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) )
      | ~ ( epred2_2 @ X2 @ X1 @ ( esk1_2 @ X2 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_24,negated_conjecture,
    ! [X5: $i] :
      ( ( ( epred6_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
        = ( epred4_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
      | ( epred2_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ X5 )
      | ~ ( epred1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X5 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_19]) ).

thf(c_0_25,negated_conjecture,
    ( epred1_2
    @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
    @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
    @ ( esk1_2
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_14]),c_0_21]) ).

thf(c_0_26,negated_conjecture,
    ! [X5: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ( ( epred2_2 @ X1
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
        = ( epred1_2 @ X1
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
      | ( X1
        @ ( epred1_2 @ X1
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
        @ ( epred2_2 @ X1
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
        @ X5 )
      | ( ( epred6_2 @ X1
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
       != ( epred4_2 @ X1
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_22]) ).

thf(c_0_27,negated_conjecture,
    ( ( epred6_2
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
    = ( epred4_2
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24])])]),c_0_14]),c_0_25])]) ).

thf(c_0_28,negated_conjecture,
    ( ( epred2_2
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
    = ( epred1_2
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
      @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_26]),c_0_27])]) ).

thf(c_0_29,negated_conjecture,
    ! [X524: $i] :
      ( ( epred2_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ X524 )
    <=> ( epred1_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ X524 ) ),
    inference(arg_cong,[status(thm)],[c_0_28]) ).

thf(c_0_30,negated_conjecture,
    ! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ~ ( X1 @ ( epred4_2 @ X1 @ X2 ) @ ( epred6_2 @ X1 @ X2 ) @ ( esk3_2 @ X1 @ X2 ) )
      | ~ ( X1 @ ( epred3_2 @ X1 @ X2 ) @ ( epred3_2 @ X1 @ X2 ) @ ( esk2_2 @ X1 @ X2 ) )
      | ~ ( epred2_2 @ X1 @ X2 @ ( esk1_2 @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_31,negated_conjecture,
    ! [X5: $i] :
      ( ( epred2_2
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
        @ X5 )
      | ~ ( epred1_2
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
          @ X5 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_29]) ).

thf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31])])]),c_0_27]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEV095^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Jun 21 19:33:09 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  Running higher-order theorem proving
% 0.21/0.50  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/tmp/tmp.Y7rISAxc1a/E---3.1_31501.p
% 1.86/0.73  # Version: 3.2.0-ho
% 1.86/0.73  # Preprocessing class: HSSSSMSSSSSNHHA.
% 1.86/0.73  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.73  # Starting sh2lt with 1200s (4) cores
% 1.86/0.73  # Starting new_ho_10_unif with 300s (1) cores
% 1.86/0.73  # Starting full_lambda_6 with 300s (1) cores
% 1.86/0.73  # Starting post_as_ho1 with 300s (1) cores
% 1.86/0.73  # Starting ehoh_best3_rw with 300s (1) cores
% 1.86/0.73  # sh2lt with pid 31586 completed with status 0
% 1.86/0.73  # Result found by sh2lt
% 1.86/0.73  # Preprocessing class: HSSSSMSSSSSNHHA.
% 1.86/0.73  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.73  # Starting sh2lt with 1200s (4) cores
% 1.86/0.73  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 1.86/0.73  # Search class: HGHNF-FFMF22-SHHFFMBN
% 1.86/0.73  # Scheduled 5 strats onto 4 cores with 1200 seconds (1200 total)
% 1.86/0.73  # Starting ehoh_best4_fo with 721s (1) cores
% 1.86/0.73  # Starting ehoh_best3_rw with 121s (1) cores
% 1.86/0.73  # Starting pre_casc_9 with 121s (1) cores
% 1.86/0.73  # Starting ehoh_best4_lambda with 121s (1) cores
% 1.86/0.73  # ehoh_best3_rw with pid 31593 completed with status 0
% 1.86/0.73  # Result found by ehoh_best3_rw
% 1.86/0.73  # Preprocessing class: HSSSSMSSSSSNHHA.
% 1.86/0.73  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.73  # Starting sh2lt with 1200s (4) cores
% 1.86/0.73  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 1.86/0.73  # Search class: HGHNF-FFMF22-SHHFFMBN
% 1.86/0.73  # Scheduled 5 strats onto 4 cores with 1200 seconds (1200 total)
% 1.86/0.73  # Starting ehoh_best4_fo with 721s (1) cores
% 1.86/0.73  # Starting ehoh_best3_rw with 121s (1) cores
% 1.86/0.73  # Preprocessing time       : 0.002 s
% 1.86/0.73  # Presaturation interreduction done
% 1.86/0.73  
% 1.86/0.73  # Proof found!
% 1.86/0.73  # SZS status Theorem
% 1.86/0.73  # SZS output start CNFRefutation
% See solution above
% 1.86/0.73  # Parsed axioms                        : 1
% 1.86/0.73  # Removed by relevancy pruning/SinE    : 0
% 1.86/0.73  # Initial clauses                      : 24
% 1.86/0.73  # Removed in clause preprocessing      : 0
% 1.86/0.73  # Initial clauses in saturation        : 24
% 1.86/0.73  # Processed clauses                    : 343
% 1.86/0.73  # ...of these trivial                  : 12
% 1.86/0.73  # ...subsumed                          : 77
% 1.86/0.73  # ...remaining for further processing  : 254
% 1.86/0.73  # Other redundant clauses eliminated   : 40
% 1.86/0.73  # Clauses deleted for lack of memory   : 0
% 1.86/0.73  # Backward-subsumed                    : 2
% 1.86/0.73  # Backward-rewritten                   : 12
% 1.86/0.73  # Generated clauses                    : 2004
% 1.86/0.73  # ...of the previous two non-redundant : 1670
% 1.86/0.73  # ...aggressively subsumed             : 0
% 1.86/0.73  # Contextual simplify-reflections      : 6
% 1.86/0.73  # Paramodulations                      : 1176
% 1.86/0.73  # Factorizations                       : 6
% 1.86/0.73  # NegExts                              : 6
% 1.86/0.73  # Equation resolutions                 : 40
% 1.86/0.73  # Disequality decompositions           : 0
% 1.86/0.73  # Total rewrite steps                  : 96
% 1.86/0.73  # ...of those cached                   : 79
% 1.86/0.73  # Propositional unsat checks           : 0
% 1.86/0.73  #    Propositional check models        : 0
% 1.86/0.73  #    Propositional check unsatisfiable : 0
% 1.86/0.73  #    Propositional clauses             : 0
% 1.86/0.73  #    Propositional clauses after purity: 0
% 1.86/0.73  #    Propositional unsat core size     : 0
% 1.86/0.73  #    Propositional preprocessing time  : 0.000
% 1.86/0.73  #    Propositional encoding time       : 0.000
% 1.86/0.73  #    Propositional solver time         : 0.000
% 1.86/0.73  #    Success case prop preproc time    : 0.000
% 1.86/0.73  #    Success case prop encoding time   : 0.000
% 1.86/0.73  #    Success case prop solver time     : 0.000
% 1.86/0.73  # Current number of processed clauses  : 107
% 1.86/0.73  #    Positive orientable unit clauses  : 9
% 1.86/0.73  #    Positive unorientable unit clauses: 0
% 1.86/0.73  #    Negative unit clauses             : 3
% 1.86/0.73  #    Non-unit-clauses                  : 95
% 1.86/0.73  # Current number of unprocessed clauses: 1350
% 1.86/0.73  # ...number of literals in the above   : 5821
% 1.86/0.73  # Current number of archived formulas  : 0
% 1.86/0.73  # Current number of archived clauses   : 147
% 1.86/0.73  # Clause-clause subsumption calls (NU) : 2824
% 1.86/0.73  # Rec. Clause-clause subsumption calls : 1132
% 1.86/0.73  # Non-unit clause-clause subsumptions  : 65
% 1.86/0.73  # Unit Clause-clause subsumption calls : 163
% 1.86/0.73  # Rewrite failures with RHS unbound    : 0
% 1.86/0.73  # BW rewrite match attempts            : 11
% 1.86/0.73  # BW rewrite match successes           : 4
% 1.86/0.73  # Condensation attempts                : 0
% 1.86/0.73  # Condensation successes               : 0
% 1.86/0.73  # Termbank termtop insertions          : 1028379
% 1.86/0.73  # Search garbage collected termcells   : 349
% 1.86/0.73  
% 1.86/0.73  # -------------------------------------------------
% 1.86/0.73  # User time                : 0.218 s
% 1.86/0.73  # System time              : 0.005 s
% 1.86/0.73  # Total time               : 0.223 s
% 1.86/0.73  # Maximum resident set size: 1920 pages
% 1.86/0.73  
% 1.86/0.73  # -------------------------------------------------
% 1.86/0.73  # User time                : 0.854 s
% 1.86/0.73  # System time              : 0.034 s
% 1.86/0.73  # Total time               : 0.887 s
% 1.86/0.73  # Maximum resident set size: 1720 pages
% 1.86/0.73  % E---3.1 exiting
% 1.86/0.73  % E exiting
%------------------------------------------------------------------------------