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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:14:59 PM UTC 2026

% Result   : Theorem 6.98s 1.48s
% Output   : CNFRefutation 6.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   72
%            Number of leaves      :    2
% Syntax   : Number of formulae    :  127 (  20 unt;   0 def)
%            Number of atoms       :  858 (   0 equ)
%            Maximal formula atoms :  182 (   6 avg)
%            Number of connectives : 1384 ( 653   ~; 651   |;  78   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;   5 con; 0-3 aty)
%            Number of variables   :  302 (   0 sgn 202   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ ! [X1] :
                      ( ~ p1(X1)
                      | ~ r1(X2,X1) )
                | ! [X1] :
                    ( ! [X2] :
                        ( ~ p1(X2)
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ! [X2] :
              ( ~ ! [X1] :
                    ( ~ ! [X2] :
                          ( p2(X2)
                          | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
              | ~ r1(X1,X2) )
          | ! [X2] :
              ( ! [X1] :
                  ( p1(X1)
                  | ~ r1(X2,X1) )
              | ! [X1] :
                  ( ~ ! [X2] :
                        ( p1(X2)
                        | ~ r1(X1,X2) )
                  | ~ r1(X2,X1) )
              | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ! [X1] :
                        ( p1(X1)
                        | ~ r1(X2,X1) )
                    & ~ ! [X1] :
                          ( ! [X2] :
                              ( p1(X2)
                              | ~ r1(X1,X2) )
                          | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ( ! [X1] :
                          ( ~ ! [X2] :
                                ( ~ p2(X2)
                                | ~ r1(X1,X2) )
                          | ~ r1(X2,X1) )
                      & ! [X1] :
                          ( ~ p2(X1)
                          | ! [X2] :
                              ( p3(X2)
                              | ~ r1(X1,X2) )
                          | ~ r1(X2,X1) ) )
                    | ~ ! [X1] :
                          ( ~ ( ! [X2] :
                                  ( ~ ! [X1] :
                                        ( ~ ! [X2] :
                                              ( ~ p2(X2)
                                              | ! [X1] :
                                                  ( p3(X1)
                                                  | ~ r1(X2,X1) )
                                              | ~ r1(X1,X2) )
                                        | ~ r1(X2,X1) )
                                  | ~ r1(X1,X2) )
                              & ! [X2] :
                                  ( ~ ! [X1] :
                                        ( ~ p2(X1)
                                        | ~ r1(X2,X1) )
                                  | ~ r1(X1,X2) ) )
                          | ~ r1(X2,X1) )
                    | ( ! [X1] :
                          ( ~ ! [X2] :
                                ( ~ p2(X2)
                                | ~ r1(X1,X2) )
                          | ~ r1(X2,X1) )
                      & ~ ! [X1] :
                            ( ! [X2] :
                                ( ~ ! [X1] :
                                      ( ~ p2(X1)
                                      | ! [X2] :
                                          ( p3(X2)
                                          | ~ r1(X1,X2) )
                                      | ~ r1(X2,X1) )
                                | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) ) )
                    | ~ ! [X1] :
                          ( ~ ( ~ ! [X2] :
                                    ( ~ ! [X1] :
                                          ( ~ ! [X2] :
                                                ( ~ p2(X2)
                                                | ~ r1(X1,X2) )
                                          | ~ r1(X2,X1) )
                                    | ~ r1(X1,X2) )
                              & p2(X1)
                              & ~ ! [X2] :
                                    ( ~ ( ~ p2(X2)
                                        | ! [X1] :
                                            ( p3(X1)
                                            | ~ r1(X2,X1) ) )
                                    | ~ r1(X1,X2) ) )
                          | ~ r1(X2,X1) )
                    | ~ ! [X1] :
                          ( ~ ! [X2] :
                                ( ~ p2(X2)
                                | ! [X1] :
                                    ( p3(X1)
                                    | ~ r1(X2,X1) )
                                | ~ r1(X1,X2) )
                          | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ! [X1] :
                        ( ~ ! [X2] :
                              ( ~ p1(X2)
                              | ~ r1(X1,X2) )
                        | ~ r1(X2,X1) )
                    & ~ ! [X1] :
                          ( ! [X2] :
                              ( ~ ! [X1] :
                                    ( ~ p1(X1)
                                    | ~ r1(X2,X1) )
                              | ~ r1(X1,X2) )
                          | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ p4(X2)
                | ~ r1(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ ! [X1] :
                        ( ~ p1(X1)
                        | ~ r1(X2,X1) )
                  | ! [X1] :
                      ( ! [X2] :
                          ( ~ p1(X2)
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ! [X2] :
                ( ~ ! [X1] :
                      ( ~ ! [X2] :
                            ( p2(X2)
                            | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( p1(X1)
                    | ~ r1(X2,X1) )
                | ! [X1] :
                    ( ~ ! [X2] :
                          ( p1(X2)
                          | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ! [X1] :
                          ( p1(X1)
                          | ~ r1(X2,X1) )
                      & ~ ! [X1] :
                            ( ! [X2] :
                                ( p1(X2)
                                | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ( ! [X1] :
                            ( ~ ! [X2] :
                                  ( ~ p2(X2)
                                  | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) )
                        & ! [X1] :
                            ( ~ p2(X1)
                            | ! [X2] :
                                ( p3(X2)
                                | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) ) )
                      | ~ ! [X1] :
                            ( ~ ( ! [X2] :
                                    ( ~ ! [X1] :
                                          ( ~ ! [X2] :
                                                ( ~ p2(X2)
                                                | ! [X1] :
                                                    ( p3(X1)
                                                    | ~ r1(X2,X1) )
                                                | ~ r1(X1,X2) )
                                          | ~ r1(X2,X1) )
                                    | ~ r1(X1,X2) )
                                & ! [X2] :
                                    ( ~ ! [X1] :
                                          ( ~ p2(X1)
                                          | ~ r1(X2,X1) )
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                      | ( ! [X1] :
                            ( ~ ! [X2] :
                                  ( ~ p2(X2)
                                  | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) )
                        & ~ ! [X1] :
                              ( ! [X2] :
                                  ( ~ ! [X1] :
                                        ( ~ p2(X1)
                                        | ! [X2] :
                                            ( p3(X2)
                                            | ~ r1(X1,X2) )
                                        | ~ r1(X2,X1) )
                                  | ~ r1(X1,X2) )
                              | ~ r1(X2,X1) ) )
                      | ~ ! [X1] :
                            ( ~ ( ~ ! [X2] :
                                      ( ~ ! [X1] :
                                            ( ~ ! [X2] :
                                                  ( ~ p2(X2)
                                                  | ~ r1(X1,X2) )
                                            | ~ r1(X2,X1) )
                                      | ~ r1(X1,X2) )
                                & p2(X1)
                                & ~ ! [X2] :
                                      ( ~ ( ~ p2(X2)
                                          | ! [X1] :
                                              ( p3(X1)
                                              | ~ r1(X2,X1) ) )
                                      | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                      | ~ ! [X1] :
                            ( ~ ! [X2] :
                                  ( ~ p2(X2)
                                  | ! [X1] :
                                      ( p3(X1)
                                      | ~ r1(X2,X1) )
                                  | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ! [X1] :
                          ( ~ ! [X2] :
                                ( ~ p1(X2)
                                | ~ r1(X1,X2) )
                          | ~ r1(X2,X1) )
                      & ~ ! [X1] :
                            ( ! [X2] :
                                ( ~ ! [X1] :
                                      ( ~ p1(X1)
                                      | ~ r1(X2,X1) )
                                | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ p4(X2)
                  | ~ r1(X1,X2) ) ),
    inference(assume_negation,[status(cth)],[main]) ).

fof(c_0_2,plain,
    ! [X2] :
      ( epred1_1(X2)
    <=> ~ ( ( ! [X1] :
                ( ~ ! [X2] :
                      ( ~ p2(X2)
                      | ~ r1(X1,X2) )
                | ~ r1(X2,X1) )
            & ! [X1] :
                ( ~ p2(X1)
                | ! [X2] :
                    ( p3(X2)
                    | ~ r1(X1,X2) )
                | ~ r1(X2,X1) ) )
          | ~ ! [X1] :
                ( ~ ( ! [X2] :
                        ( ~ ! [X1] :
                              ( ~ ! [X2] :
                                    ( ~ p2(X2)
                                    | ! [X1] :
                                        ( p3(X1)
                                        | ~ r1(X2,X1) )
                                    | ~ r1(X1,X2) )
                              | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    & ! [X2] :
                        ( ~ ! [X1] :
                              ( ~ p2(X1)
                              | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) ) )
                | ~ r1(X2,X1) )
          | ( ! [X1] :
                ( ~ ! [X2] :
                      ( ~ p2(X2)
                      | ~ r1(X1,X2) )
                | ~ r1(X2,X1) )
            & ~ ! [X1] :
                  ( ! [X2] :
                      ( ~ ! [X1] :
                            ( ~ p2(X1)
                            | ! [X2] :
                                ( p3(X2)
                                | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) )
                      | ~ r1(X1,X2) )
                  | ~ r1(X2,X1) ) )
          | ~ ! [X1] :
                ( ~ ( ~ ! [X2] :
                          ( ~ ! [X1] :
                                ( ~ ! [X2] :
                                      ( ~ p2(X2)
                                      | ~ r1(X1,X2) )
                                | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                    & p2(X1)
                    & ~ ! [X2] :
                          ( ~ ( ~ p2(X2)
                              | ! [X1] :
                                  ( p3(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) ) )
                | ~ r1(X2,X1) )
          | ~ ! [X1] :
                ( ~ ! [X2] :
                      ( ~ p2(X2)
                      | ! [X1] :
                          ( p3(X1)
                          | ~ r1(X2,X1) )
                      | ~ r1(X1,X2) )
                | ~ r1(X2,X1) ) ) ),
    introduced(definition) ).

fof(c_0_3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ ! [X1] :
                        ( ~ p1(X1)
                        | ~ r1(X2,X1) )
                  | ! [X1] :
                      ( ! [X2] :
                          ( ~ p1(X2)
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ! [X2] :
                ( ~ ! [X1] :
                      ( ~ ! [X2] :
                            ( p2(X2)
                            | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( p1(X1)
                    | ~ r1(X2,X1) )
                | ! [X1] :
                    ( ~ ! [X2] :
                          ( p1(X2)
                          | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ! [X1] :
                          ( p1(X1)
                          | ~ r1(X2,X1) )
                      & ~ ! [X1] :
                            ( ! [X2] :
                                ( p1(X2)
                                | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( epred1_1(X2)
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ! [X1] :
                          ( ~ ! [X2] :
                                ( ~ p1(X2)
                                | ~ r1(X1,X2) )
                          | ~ r1(X2,X1) )
                      & ~ ! [X1] :
                            ( ! [X2] :
                                ( ~ ! [X1] :
                                      ( ~ p1(X1)
                                      | ~ r1(X2,X1) )
                                | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ p4(X2)
                  | ~ r1(X1,X2) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1]),c_0_2]) ).

fof(c_0_4,plain,
    ! [X2] :
      ( epred1_1(X2)
     => ~ ( ( ! [X1] :
                ( ~ ! [X2] :
                      ( ~ p2(X2)
                      | ~ r1(X1,X2) )
                | ~ r1(X2,X1) )
            & ! [X1] :
                ( ~ p2(X1)
                | ! [X2] :
                    ( p3(X2)
                    | ~ r1(X1,X2) )
                | ~ r1(X2,X1) ) )
          | ~ ! [X1] :
                ( ~ ( ! [X2] :
                        ( ~ ! [X1] :
                              ( ~ ! [X2] :
                                    ( ~ p2(X2)
                                    | ! [X1] :
                                        ( p3(X1)
                                        | ~ r1(X2,X1) )
                                    | ~ r1(X1,X2) )
                              | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    & ! [X2] :
                        ( ~ ! [X1] :
                              ( ~ p2(X1)
                              | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) ) )
                | ~ r1(X2,X1) )
          | ( ! [X1] :
                ( ~ ! [X2] :
                      ( ~ p2(X2)
                      | ~ r1(X1,X2) )
                | ~ r1(X2,X1) )
            & ~ ! [X1] :
                  ( ! [X2] :
                      ( ~ ! [X1] :
                            ( ~ p2(X1)
                            | ! [X2] :
                                ( p3(X2)
                                | ~ r1(X1,X2) )
                            | ~ r1(X2,X1) )
                      | ~ r1(X1,X2) )
                  | ~ r1(X2,X1) ) )
          | ~ ! [X1] :
                ( ~ ( ~ ! [X2] :
                          ( ~ ! [X1] :
                                ( ~ ! [X2] :
                                      ( ~ p2(X2)
                                      | ~ r1(X1,X2) )
                                | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                    & p2(X1)
                    & ~ ! [X2] :
                          ( ~ ( ~ p2(X2)
                              | ! [X1] :
                                  ( p3(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) ) )
                | ~ r1(X2,X1) )
          | ~ ! [X1] :
                ( ~ ! [X2] :
                      ( ~ p2(X2)
                      | ! [X1] :
                          ( p3(X1)
                          | ~ r1(X2,X1) )
                      | ~ r1(X1,X2) )
                | ~ r1(X2,X1) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

fof(c_0_5,negated_conjecture,
    ! [X4,X5,X6,X7,X10,X11,X12,X13,X14,X18,X21,X23,X24,X25] :
      ( ( ~ p1(X25)
        | ~ r1(X24,X25)
        | ~ r1(X23,X24)
        | ~ r1(esk1_0,X23)
        | p1(esk10_1(X23)) )
      & ( ~ p1(X25)
        | ~ r1(X24,X25)
        | ~ r1(X23,X24)
        | ~ r1(esk1_0,X23)
        | r1(X23,esk10_1(X23)) )
      & ( ~ r1(esk8_0,X21)
        | ~ p2(esk9_1(X21)) )
      & ( ~ r1(esk8_0,X21)
        | r1(X21,esk9_1(X21)) )
      & r1(esk1_0,esk8_0)
      & ~ p1(esk7_0)
      & r1(esk5_0,esk7_0)
      & ( p1(X18)
        | ~ r1(esk6_0,X18) )
      & r1(esk5_0,esk6_0)
      & r1(esk1_0,esk5_0)
      & ( ~ r1(esk1_0,X12)
        | p1(X14)
        | ~ r1(X13,X14)
        | ~ r1(X12,X13)
        | ~ p1(esk4_1(X12)) )
      & ( ~ r1(esk1_0,X12)
        | p1(X14)
        | ~ r1(X13,X14)
        | ~ r1(X12,X13)
        | r1(X12,esk4_1(X12)) )
      & ( epred1_1(X11)
        | ~ r1(esk1_0,X11) )
      & ( ~ r1(esk1_0,X5)
        | ~ r1(X5,X6)
        | ~ r1(X6,X7)
        | p1(esk2_3(X5,X6,X7))
        | ~ p1(X10)
        | ~ r1(esk3_1(X5),X10) )
      & ( ~ r1(esk1_0,X5)
        | ~ r1(X5,X6)
        | ~ r1(X6,X7)
        | p1(esk2_3(X5,X6,X7))
        | r1(X5,esk3_1(X5)) )
      & ( ~ r1(esk1_0,X5)
        | ~ r1(X5,X6)
        | ~ r1(X6,X7)
        | r1(X7,esk2_3(X5,X6,X7))
        | ~ p1(X10)
        | ~ r1(esk3_1(X5),X10) )
      & ( ~ r1(esk1_0,X5)
        | ~ r1(X5,X6)
        | ~ r1(X6,X7)
        | r1(X7,esk2_3(X5,X6,X7))
        | r1(X5,esk3_1(X5)) )
      & ( ~ p4(X4)
        | ~ r1(esk1_0,X4) ) ),
    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_3])])])])])]) ).

fof(c_0_6,plain,
    ! [X27,X28,X31,X32,X34,X36,X37,X38,X42,X43,X45,X47,X53] :
      ( ( ~ epred1_1(X27)
        | p2(esk22_1(X27))
        | ~ p2(X53)
        | ~ r1(esk24_1(X27),X53) )
      & ( ~ epred1_1(X27)
        | p2(esk22_1(X27))
        | r1(X27,esk24_1(X27)) )
      & ( ~ epred1_1(X27)
        | ~ p3(esk23_1(X27))
        | ~ p2(X53)
        | ~ r1(esk24_1(X27),X53) )
      & ( ~ epred1_1(X27)
        | ~ p3(esk23_1(X27))
        | r1(X27,esk24_1(X27)) )
      & ( ~ epred1_1(X27)
        | r1(esk22_1(X27),esk23_1(X27))
        | ~ p2(X53)
        | ~ r1(esk24_1(X27),X53) )
      & ( ~ epred1_1(X27)
        | r1(esk22_1(X27),esk23_1(X27))
        | r1(X27,esk24_1(X27)) )
      & ( ~ epred1_1(X27)
        | r1(X27,esk22_1(X27))
        | ~ p2(X53)
        | ~ r1(esk24_1(X27),X53) )
      & ( ~ epred1_1(X27)
        | r1(X27,esk22_1(X27))
        | r1(X27,esk24_1(X27)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | ~ p2(X45)
        | ~ r1(esk18_2(X27,X43),X45)
        | ~ r1(esk19_2(X27,X43),X47)
        | p2(esk20_3(X27,X43,X47)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | ~ p2(X45)
        | ~ r1(esk18_2(X27,X43),X45)
        | ~ r1(esk19_2(X27,X43),X47)
        | ~ p3(esk21_3(X27,X43,X47)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | ~ p2(X45)
        | ~ r1(esk18_2(X27,X43),X45)
        | ~ r1(esk19_2(X27,X43),X47)
        | r1(esk20_3(X27,X43,X47),esk21_3(X27,X43,X47)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | ~ p2(X45)
        | ~ r1(esk18_2(X27,X43),X45)
        | ~ r1(esk19_2(X27,X43),X47)
        | r1(X47,esk20_3(X27,X43,X47)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | ~ p2(X45)
        | ~ r1(esk18_2(X27,X43),X45)
        | r1(X43,esk19_2(X27,X43)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | r1(X43,esk18_2(X27,X43))
        | ~ r1(esk19_2(X27,X43),X47)
        | p2(esk20_3(X27,X43,X47)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | r1(X43,esk18_2(X27,X43))
        | ~ r1(esk19_2(X27,X43),X47)
        | ~ p3(esk21_3(X27,X43,X47)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | r1(X43,esk18_2(X27,X43))
        | ~ r1(esk19_2(X27,X43),X47)
        | r1(esk20_3(X27,X43,X47),esk21_3(X27,X43,X47)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | r1(X43,esk18_2(X27,X43))
        | ~ r1(esk19_2(X27,X43),X47)
        | r1(X47,esk20_3(X27,X43,X47)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X43)
        | r1(X43,esk18_2(X27,X43))
        | r1(X43,esk19_2(X27,X43)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X37)
        | ~ r1(X37,X38)
        | p2(esk15_3(X27,X37,X38))
        | ~ p2(X42)
        | ~ r1(esk17_1(X27),X42) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X37)
        | ~ r1(X37,X38)
        | p2(esk15_3(X27,X37,X38))
        | r1(X27,esk17_1(X27)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X37)
        | ~ r1(X37,X38)
        | ~ p3(esk16_3(X27,X37,X38))
        | ~ p2(X42)
        | ~ r1(esk17_1(X27),X42) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X37)
        | ~ r1(X37,X38)
        | ~ p3(esk16_3(X27,X37,X38))
        | r1(X27,esk17_1(X27)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X37)
        | ~ r1(X37,X38)
        | r1(esk15_3(X27,X37,X38),esk16_3(X27,X37,X38))
        | ~ p2(X42)
        | ~ r1(esk17_1(X27),X42) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X37)
        | ~ r1(X37,X38)
        | r1(esk15_3(X27,X37,X38),esk16_3(X27,X37,X38))
        | r1(X27,esk17_1(X27)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X37)
        | ~ r1(X37,X38)
        | r1(X38,esk15_3(X27,X37,X38))
        | ~ p2(X42)
        | ~ r1(esk17_1(X27),X42) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X37)
        | ~ r1(X37,X38)
        | r1(X38,esk15_3(X27,X37,X38))
        | r1(X27,esk17_1(X27)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X31)
        | ~ p2(X31)
        | ~ r1(X31,X32)
        | p2(X32)
        | ~ r1(X31,X34)
        | ~ p2(X36)
        | ~ r1(esk14_3(X27,X31,X34),X36) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X31)
        | ~ p2(X31)
        | ~ r1(X31,X32)
        | p2(X32)
        | ~ r1(X31,X34)
        | r1(X34,esk14_3(X27,X31,X34)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X31)
        | ~ p2(X31)
        | ~ r1(X31,X32)
        | ~ p3(esk13_3(X27,X31,X32))
        | ~ r1(X31,X34)
        | ~ p2(X36)
        | ~ r1(esk14_3(X27,X31,X34),X36) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X31)
        | ~ p2(X31)
        | ~ r1(X31,X32)
        | ~ p3(esk13_3(X27,X31,X32))
        | ~ r1(X31,X34)
        | r1(X34,esk14_3(X27,X31,X34)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X31)
        | ~ p2(X31)
        | ~ r1(X31,X32)
        | r1(X32,esk13_3(X27,X31,X32))
        | ~ r1(X31,X34)
        | ~ p2(X36)
        | ~ r1(esk14_3(X27,X31,X34),X36) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X31)
        | ~ p2(X31)
        | ~ r1(X31,X32)
        | r1(X32,esk13_3(X27,X31,X32))
        | ~ r1(X31,X34)
        | r1(X34,esk14_3(X27,X31,X34)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X28)
        | p2(esk11_2(X27,X28)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X28)
        | ~ p3(esk12_2(X27,X28)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X28)
        | r1(esk11_2(X27,X28),esk12_2(X27,X28)) )
      & ( ~ epred1_1(X27)
        | ~ r1(X27,X28)
        | r1(X28,esk11_2(X27,X28)) ) ),
    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_4])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    r1(esk1_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( ~ epred1_1(X1)
    | r1(X1,esk22_1(X1))
    | r1(X1,esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    epred1_1(esk8_0),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    ( ~ epred1_1(X2)
    | ~ r1(X2,X1)
    | r1(X1,esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,plain,
    ( r1(esk8_0,esk22_1(esk8_0))
    | r1(esk8_0,esk24_1(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | p2(esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,plain,
    ( ~ epred1_1(X1)
    | ~ p2(X2)
    | ~ r1(esk24_1(X1),X2)
    | r1(X1,esk22_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,plain,
    ( r1(esk8_0,esk22_1(esk8_0))
    | r1(esk24_1(esk8_0),esk11_2(esk8_0,esk24_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10])]) ).

cnf(c_0_16,plain,
    ( r1(esk8_0,esk22_1(esk8_0))
    | p2(esk11_2(esk8_0,esk24_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_10])]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ r1(esk8_0,X1)
    | r1(X1,esk9_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,plain,
    r1(esk8_0,esk22_1(esk8_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_10])]),c_0_16]) ).

cnf(c_0_19,plain,
    ( ~ epred1_1(X2)
    | ~ r1(X2,X3)
    | ~ p2(X3)
    | ~ r1(X3,X4)
    | ~ r1(X3,X1)
    | p2(X4)
    | r1(X1,esk14_3(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,negated_conjecture,
    r1(esk22_1(esk8_0),esk9_1(esk22_1(esk8_0))),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    ( ~ epred1_1(X1)
    | p2(esk22_1(X1))
    | r1(X1,esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22,plain,
    ( ~ r1(X2,esk22_1(esk8_0))
    | ~ r1(esk22_1(esk8_0),X1)
    | ~ p2(esk22_1(esk8_0))
    | ~ epred1_1(X2)
    | r1(X1,esk14_3(X2,esk22_1(esk8_0),X1))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | p2(esk22_1(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_10]) ).

cnf(c_0_24,plain,
    ( ~ epred1_1(X2)
    | ~ r1(X2,X1)
    | r1(X1,esk18_2(X2,X1))
    | r1(X1,esk19_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25,plain,
    ( ~ r1(X2,esk22_1(esk8_0))
    | ~ r1(esk22_1(esk8_0),X1)
    | ~ epred1_1(X2)
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(X1,esk14_3(X2,esk22_1(esk8_0),X1))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,plain,
    ( r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_18]),c_0_10])]) ).

cnf(c_0_27,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ r1(esk8_0,X1)
    | ~ p2(esk9_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_29,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_18]),c_0_10])]) ).

cnf(c_0_30,plain,
    ( ~ epred1_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(esk19_2(X2,X3),X1)
    | r1(X3,esk18_2(X2,X3))
    | r1(X1,esk20_3(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_31,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_18])]) ).

cnf(c_0_32,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ r1(esk19_2(X1,X2),X3)
    | r1(X2,esk18_2(X1,X2))
    | p2(esk20_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_33,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p2(X2)
    | ~ r1(X2,X5)
    | ~ r1(X2,X3)
    | ~ p2(X4)
    | ~ r1(esk14_3(X1,X2,X3),X4)
    | p2(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_34,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_10]),c_0_18])]) ).

cnf(c_0_35,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_10]),c_0_18])]) ).

cnf(c_0_36,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | p2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_10]),c_0_18])]),c_0_26]),c_0_23]),c_0_35]) ).

cnf(c_0_37,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_36,c_0_20]) ).

cnf(c_0_38,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X3)
    | ~ r1(X3,X2)
    | r1(X2,esk15_3(X1,X3,X2))
    | r1(X1,esk17_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_39,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_37]),c_0_18])]) ).

cnf(c_0_40,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(esk15_3(X1,X2,X3))
    | r1(X1,esk17_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_41,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(X1,esk17_1(X1))
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(X1,esk17_1(X1))
    | r1(esk8_0,esk24_1(esk8_0))
    | p2(esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(spm,[status(thm)],[c_0_40,c_0_39]) ).

cnf(c_0_43,plain,
    ( ~ epred1_1(X2)
    | ~ r1(X2,X1)
    | ~ p2(X3)
    | ~ r1(esk18_2(X2,X1),X3)
    | r1(X1,esk19_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_44,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk8_0,esk17_1(esk8_0))
    | r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_18]),c_0_10])]) ).

cnf(c_0_45,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk8_0,esk17_1(esk8_0))
    | p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_18]),c_0_10])]) ).

cnf(c_0_46,plain,
    ( r1(esk8_0,esk17_1(esk8_0))
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_10]),c_0_18])]),c_0_45]) ).

cnf(c_0_47,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(esk8_0,esk17_1(esk8_0))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_46]) ).

cnf(c_0_48,plain,
    ( ~ epred1_1(X2)
    | ~ r1(X2,X3)
    | ~ p2(X4)
    | ~ r1(esk18_2(X2,X3),X4)
    | ~ r1(esk19_2(X2,X3),X1)
    | r1(X1,esk20_3(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_49,plain,
    ( r1(esk8_0,esk17_1(esk8_0))
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_18]),c_0_10])]) ).

cnf(c_0_50,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p2(X4)
    | ~ r1(esk18_2(X1,X2),X4)
    | ~ r1(esk19_2(X1,X2),X3)
    | p2(esk20_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_51,plain,
    ( ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1)
    | r1(esk8_0,esk17_1(esk8_0))
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_10]),c_0_18])]),c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk8_0,esk17_1(esk8_0))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_49]),c_0_18])]) ).

cnf(c_0_53,plain,
    ( ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1)
    | r1(esk8_0,esk17_1(esk8_0))
    | r1(esk8_0,esk24_1(esk8_0))
    | p2(esk20_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_10]),c_0_18])]),c_0_45]) ).

cnf(c_0_54,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk8_0,esk17_1(esk8_0))
    | r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk8_0,esk17_1(esk8_0))
    | p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_52]) ).

cnf(c_0_56,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | r1(esk8_0,esk17_1(esk8_0))
    | r1(esk8_0,esk24_1(esk8_0))
    | p2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_54]),c_0_10]),c_0_18])]),c_0_46]),c_0_23]),c_0_55]) ).

cnf(c_0_57,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk8_0,esk17_1(esk8_0))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_56,c_0_20]) ).

cnf(c_0_58,negated_conjecture,
    ( r1(esk8_0,esk17_1(esk8_0))
    | r1(esk8_0,esk24_1(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_57]),c_0_18])]) ).

cnf(c_0_59,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X4)
    | ~ r1(X4,X3)
    | ~ p2(X2)
    | ~ r1(esk17_1(X1),X2)
    | r1(X3,esk15_3(X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_60,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk17_1(esk8_0),esk11_2(esk8_0,esk17_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_58]),c_0_10])]) ).

cnf(c_0_61,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | p2(esk11_2(esk8_0,esk17_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_58]),c_0_10])]) ).

cnf(c_0_62,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X3)
    | ~ r1(X3,X4)
    | ~ p2(X2)
    | ~ r1(esk17_1(X1),X2)
    | p2(esk15_3(X1,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_63,plain,
    ( ~ r1(X2,X1)
    | ~ r1(esk8_0,X2)
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(X1,esk15_3(esk8_0,X2,X1)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_10])]),c_0_61]) ).

cnf(c_0_64,plain,
    ( ~ r1(X1,X2)
    | ~ r1(esk8_0,X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | p2(esk15_3(esk8_0,X1,X2)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_10])]),c_0_61]) ).

cnf(c_0_65,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(X1,esk15_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_18]) ).

cnf(c_0_66,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | p2(esk15_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(spm,[status(thm)],[c_0_64,c_0_18]) ).

cnf(c_0_67,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(spm,[status(thm)],[c_0_65,c_0_39]) ).

cnf(c_0_68,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(spm,[status(thm)],[c_0_66,c_0_39]) ).

cnf(c_0_69,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_67]),c_0_10]),c_0_18])]),c_0_68]) ).

cnf(c_0_70,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_69]) ).

cnf(c_0_71,plain,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_18]),c_0_10])]) ).

cnf(c_0_72,plain,
    ( ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_67]),c_0_10]),c_0_18])]),c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_71]),c_0_18])]) ).

cnf(c_0_74,plain,
    ( ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | p2(esk20_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_67]),c_0_10]),c_0_18])]),c_0_68]) ).

cnf(c_0_75,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_76,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(spm,[status(thm)],[c_0_74,c_0_73]) ).

cnf(c_0_77,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | r1(esk8_0,esk24_1(esk8_0))
    | p2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_75]),c_0_10]),c_0_18])]),c_0_69]),c_0_23]),c_0_76]) ).

cnf(c_0_78,negated_conjecture,
    ( r1(esk8_0,esk24_1(esk8_0))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_77,c_0_20]) ).

cnf(c_0_79,negated_conjecture,
    r1(esk8_0,esk24_1(esk8_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_78]),c_0_18])]) ).

cnf(c_0_80,plain,
    ( ~ epred1_1(X1)
    | ~ p2(X2)
    | ~ r1(esk24_1(X1),X2)
    | p2(esk22_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_81,plain,
    r1(esk24_1(esk8_0),esk11_2(esk8_0,esk24_1(esk8_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_79]),c_0_10])]) ).

cnf(c_0_82,plain,
    p2(esk11_2(esk8_0,esk24_1(esk8_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_79]),c_0_10])]) ).

cnf(c_0_83,plain,
    p2(esk22_1(esk8_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_10]),c_0_82])]) ).

cnf(c_0_84,plain,
    ( ~ r1(X2,esk22_1(esk8_0))
    | ~ r1(esk22_1(esk8_0),X1)
    | ~ epred1_1(X2)
    | r1(X1,esk14_3(X2,esk22_1(esk8_0),X1))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_83])]) ).

cnf(c_0_85,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_84,c_0_26]) ).

cnf(c_0_86,plain,
    ( r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_18]),c_0_10])]) ).

cnf(c_0_87,negated_conjecture,
    ( r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_86]),c_0_18])]) ).

cnf(c_0_88,plain,
    ( r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_87]),c_0_10]),c_0_18])]) ).

cnf(c_0_89,plain,
    ( r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_87]),c_0_10]),c_0_18])]) ).

cnf(c_0_90,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | p2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_88]),c_0_10]),c_0_83]),c_0_18])]),c_0_26]),c_0_89]) ).

cnf(c_0_91,negated_conjecture,
    ( r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_90,c_0_20]) ).

cnf(c_0_92,negated_conjecture,
    r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_91]),c_0_18])]) ).

cnf(c_0_93,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(X1,esk17_1(X1))
    | r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(spm,[status(thm)],[c_0_38,c_0_92]) ).

cnf(c_0_94,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(X1,esk17_1(X1))
    | p2(esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(spm,[status(thm)],[c_0_40,c_0_92]) ).

cnf(c_0_95,plain,
    ( r1(esk8_0,esk17_1(esk8_0))
    | r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_18]),c_0_10])]) ).

cnf(c_0_96,plain,
    ( r1(esk8_0,esk17_1(esk8_0))
    | p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_18]),c_0_10])]) ).

cnf(c_0_97,plain,
    ( r1(esk8_0,esk17_1(esk8_0))
    | r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_95]),c_0_10]),c_0_18])]),c_0_96]) ).

cnf(c_0_98,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(esk8_0,esk17_1(esk8_0))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_84,c_0_97]) ).

cnf(c_0_99,plain,
    ( r1(esk8_0,esk17_1(esk8_0))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_18]),c_0_10])]) ).

cnf(c_0_100,plain,
    ( ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1)
    | r1(esk8_0,esk17_1(esk8_0))
    | r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_95]),c_0_10]),c_0_18])]),c_0_96]) ).

cnf(c_0_101,negated_conjecture,
    ( r1(esk8_0,esk17_1(esk8_0))
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_99]),c_0_18])]) ).

cnf(c_0_102,plain,
    ( ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1)
    | r1(esk8_0,esk17_1(esk8_0))
    | p2(esk20_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_95]),c_0_10]),c_0_18])]),c_0_96]) ).

cnf(c_0_103,negated_conjecture,
    ( r1(esk8_0,esk17_1(esk8_0))
    | r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_104,negated_conjecture,
    ( r1(esk8_0,esk17_1(esk8_0))
    | p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_101]) ).

cnf(c_0_105,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | r1(esk8_0,esk17_1(esk8_0))
    | p2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_103]),c_0_10]),c_0_83]),c_0_18])]),c_0_97]),c_0_104]) ).

cnf(c_0_106,negated_conjecture,
    ( r1(esk8_0,esk17_1(esk8_0))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_105,c_0_20]) ).

cnf(c_0_107,negated_conjecture,
    r1(esk8_0,esk17_1(esk8_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_106]),c_0_18])]) ).

cnf(c_0_108,plain,
    r1(esk17_1(esk8_0),esk11_2(esk8_0,esk17_1(esk8_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_107]),c_0_10])]) ).

cnf(c_0_109,plain,
    p2(esk11_2(esk8_0,esk17_1(esk8_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_107]),c_0_10])]) ).

cnf(c_0_110,plain,
    ( ~ r1(X2,X1)
    | ~ r1(esk8_0,X2)
    | r1(X1,esk15_3(esk8_0,X2,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_108]),c_0_10]),c_0_109])]) ).

cnf(c_0_111,plain,
    ( ~ r1(X1,X2)
    | ~ r1(esk8_0,X1)
    | p2(esk15_3(esk8_0,X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_108]),c_0_10]),c_0_109])]) ).

cnf(c_0_112,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | r1(X1,esk15_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(spm,[status(thm)],[c_0_110,c_0_18]) ).

cnf(c_0_113,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | p2(esk15_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(spm,[status(thm)],[c_0_111,c_0_18]) ).

cnf(c_0_114,negated_conjecture,
    r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))),
    inference(spm,[status(thm)],[c_0_112,c_0_92]) ).

cnf(c_0_115,negated_conjecture,
    p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))),
    inference(spm,[status(thm)],[c_0_113,c_0_92]) ).

cnf(c_0_116,plain,
    r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_114]),c_0_10]),c_0_115]),c_0_18])]) ).

cnf(c_0_117,plain,
    ( ~ r1(X1,esk22_1(esk8_0))
    | ~ epred1_1(X1)
    | r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(spm,[status(thm)],[c_0_84,c_0_116]) ).

cnf(c_0_118,plain,
    ( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
    | p2(esk9_1(esk22_1(esk8_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_18]),c_0_10])]) ).

cnf(c_0_119,plain,
    ( ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1)
    | r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_114]),c_0_10]),c_0_115]),c_0_18])]) ).

cnf(c_0_120,negated_conjecture,
    r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_118]),c_0_18])]) ).

cnf(c_0_121,plain,
    ( ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1)
    | p2(esk20_3(esk8_0,esk22_1(esk8_0),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_114]),c_0_10]),c_0_115]),c_0_18])]) ).

cnf(c_0_122,plain,
    r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_123,plain,
    p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))),
    inference(spm,[status(thm)],[c_0_121,c_0_120]) ).

cnf(c_0_124,plain,
    ( ~ r1(esk22_1(esk8_0),X1)
    | p2(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_122]),c_0_10]),c_0_123]),c_0_83]),c_0_116]),c_0_18])]) ).

cnf(c_0_125,negated_conjecture,
    p2(esk9_1(esk22_1(esk8_0))),
    inference(spm,[status(thm)],[c_0_124,c_0_20]) ).

cnf(c_0_126,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_125]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n015.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 21 00:49:35 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.46  Running first-order theorem proving
% 0.14/0.46  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.98/1.48  % Version: 3.5.1
% 6.98/1.48  % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.98/1.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.98/1.48  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.98/1.48  % Starting new_bool_3 with 300s (1) cores
% 6.98/1.48  % Starting new_bool_1 with 300s (1) cores
% 6.98/1.48  % Starting sh5l with 300s (1) cores
% 6.98/1.48  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 196525 completed with status 0
% 6.98/1.48  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 6.98/1.48  % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.98/1.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.98/1.48  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.98/1.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.98/1.48  % No SInE strategy applied
% 6.98/1.48  % Search class: FGHNF-FFMS31-SFFFFFNN
% 6.98/1.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.98/1.48  % Starting SubtermCWHack with 136s (1) cores
% 6.98/1.48  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.98/1.48  % Starting G-E--_107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S065A with 136s (1) cores
% 6.98/1.48  % Starting new_bool_3 with 136s (1) cores
% 6.98/1.48  % Starting new_bool_1 with 136s (1) cores
% 6.98/1.48  % G-E--_107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S065A with pid 196532 completed with status 0
% 6.98/1.48  % Result found by G-E--_107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S065A
% 6.98/1.48  % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.98/1.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.98/1.48  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.98/1.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.98/1.48  % No SInE strategy applied
% 6.98/1.48  % Search class: FGHNF-FFMS31-SFFFFFNN
% 6.98/1.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.98/1.48  % Starting SubtermCWHack with 136s (1) cores
% 6.98/1.48  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.98/1.48  % Starting G-E--_107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S065A with 136s (1) cores
% 6.98/1.48  % Preprocessing time       : 0.003 s
% 6.98/1.48  % Presaturation interreduction done
% 6.98/1.48  
% 6.98/1.48  % Proof found!
% 6.98/1.48  % SZS status Theorem
% 6.98/1.48  % SZS output start CNFRefutation
% See solution above
% 6.98/1.48  % Parsed axioms                        : 1
% 6.98/1.48  % Removed by relevancy pruning/SinE    : 0
% 6.98/1.48  % Initial clauses                      : 54
% 6.98/1.48  % Removed in clause preprocessing      : 0
% 6.98/1.48  % Initial clauses in saturation        : 54
% 6.98/1.48  % Processed clauses                    : 2154
% 6.98/1.48  % ...of these trivial                  : 1
% 6.98/1.48  % ...subsumed                          : 140
% 6.98/1.48  % ...remaining for further processing  : 2013
% 6.98/1.48  % Other redundant clauses eliminated   : 0
% 6.98/1.48  % Clauses deleted for lack of memory   : 0
% 6.98/1.48  % Backward-subsumed                    : 165
% 6.98/1.48  % Backward-rewritten                   : 559
% 6.98/1.48  % Generated clauses                    : 3658
% 6.98/1.48  % ...of the previous two non-redundant : 3581
% 6.98/1.48  % ...aggressively subsumed             : 0
% 6.98/1.48  % Contextual simplify-reflections      : 70
% 6.98/1.48  % Paramodulations                      : 3658
% 6.98/1.48  % Factorizations                       : 0
% 6.98/1.48  % NegExts                              : 0
% 6.98/1.48  % Equation resolutions                 : 0
% 6.98/1.48  % Disequality decompositions           : 0
% 6.98/1.48  % Total rewrite steps                  : 1342
% 6.98/1.48  % ...of those cached                   : 1299
% 6.98/1.48  % Propositional unsat checks           : 0
% 6.98/1.48  %    Propositional check models        : 0
% 6.98/1.48  %    Propositional check unsatisfiable : 0
% 6.98/1.48  %    Propositional clauses             : 0
% 6.98/1.48  %    Propositional clauses after purity: 0
% 6.98/1.48  %    Propositional unsat core size     : 0
% 6.98/1.48  %    Propositional preprocessing time  : 0.000
% 6.98/1.48  %    Propositional encoding time       : 0.000
% 6.98/1.48  %    Propositional solver time         : 0.000
% 6.98/1.48  %    Success case prop preproc time    : 0.000
% 6.98/1.48  %    Success case prop encoding time   : 0.000
% 6.98/1.48  %    Success case prop solver time     : 0.000
% 6.98/1.48  % Current number of processed clauses  : 1235
% 6.98/1.48  %    Positive orientable unit clauses  : 79
% 6.98/1.48  %    Positive unorientable unit clauses: 0
% 6.98/1.48  %    Negative unit clauses             : 4
% 6.98/1.48  %    Non-unit-clauses                  : 1152
% 6.98/1.48  % Current number of unprocessed clauses: 1386
% 6.98/1.48  % ...number of literals in the above   : 7374
% 6.98/1.48  % Current number of archived formulas  : 0
% 6.98/1.48  % Current number of archived clauses   : 778
% 6.98/1.48  % Clause-clause subsumption calls (NU) : 499602
% 6.98/1.48  % Rec. Clause-clause subsumption calls : 60707
% 6.98/1.48  % Non-unit clause-clause subsumptions  : 373
% 6.98/1.48  % Unit Clause-clause subsumption calls : 21626
% 6.98/1.48  % Rewrite failures with RHS unbound    : 0
% 6.98/1.48  % BW rewrite match attempts            : 62
% 6.98/1.48  % BW rewrite match successes           : 16
% 6.98/1.48  % Condensation attempts                : 0
% 6.98/1.48  % Condensation successes               : 0
% 6.98/1.48  % Termbank termtop insertions          : 158664
% 6.98/1.48  % Search garbage collected termcells   : 982
% 6.98/1.48  
% 6.98/1.48  % -------------------------------------------------
% 6.98/1.48  % User time                : 0.948 s
% 6.98/1.48  % System time              : 0.015 s
% 6.98/1.48  % Total time               : 0.962 s
% 6.98/1.48  % Maximum resident set size: 3900 pages
% 6.98/1.48  
% 6.98/1.48  % -------------------------------------------------
% 6.98/1.48  % User time                : 4.602 s
% 6.98/1.48  % System time              : 0.095 s
% 6.98/1.48  % Total time               : 4.697 s
% 6.98/1.48  % Maximum resident set size: 4608 pages
% 6.98/1.48  % E exiting
%------------------------------------------------------------------------------