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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYO605+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 03:48:03 PM UTC 2026

% Result   : Theorem 11.59s 2.13s
% Output   : CNFRefutation 11.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   59
%            Number of leaves      :    7
% Syntax   : Number of formulae    :  324 (  14 unt;   0 def)
%            Number of atoms       : 2414 (   0 equ)
%            Maximal formula atoms :  304 (   7 avg)
%            Number of connectives : 2551 ( 461   ~;1892   |; 189   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   47 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :  403 (   0 sgn  50   !;  51   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(nc4,conjecture,
    ( ( ~ ? [X2] :
          ! [X1] :
          ? [X3] :
            ( ( ( g_both(X3,X2)
                | g_false_only(X3,X2) )
              & g_false_only(X3,X1) )
            | ( ( g_true_only(X3,X2)
                | g_false_only(X3,X2) )
              & g_both(X3,X1) )
            | ( ( g_true_only(X3,X2)
                | g_both(X3,X2) )
              & g_true_only(X3,X1) ) )
      & ? [X2] :
          ( ~ ? [X1] :
              ! [X3] :
                ( ( g_true_only(X3,X2)
                  & g_false_only(X3,X1) )
                | ( g_false_only(X3,X2)
                  & g_true_only(X3,X1) ) )
          & ? [X1] :
              ( ~ ? [X3] :
                    ( ( ( g_both(X3,X2)
                        | g_false_only(X3,X2) )
                      & g_false_only(X3,X1) )
                    | ( ( g_true_only(X3,X2)
                        | g_false_only(X3,X2) )
                      & g_both(X3,X1) )
                    | ( ( g_true_only(X3,X2)
                        | g_both(X3,X2) )
                      & g_true_only(X3,X1) ) )
              & ? [X3] :
                  ( g_both(X3,X2)
                  & g_both(X3,X1) ) ) )
      & ~ ? [X1] :
          ! [X2] :
            ( ( g_false_only(X2,X2)
              & g_false_only(X2,X1) )
            | ( g_true_only(X2,X2)
              & g_true_only(X2,X1) ) )
      & ? [X1] :
          ( ~ ? [X2] :
                ( ( ( g_both(X2,X2)
                    | g_true_only(X2,X2) )
                  & g_false_only(X2,X1) )
                | ( ( g_false_only(X2,X2)
                    | g_true_only(X2,X2) )
                  & g_both(X2,X1) )
                | ( ( g_false_only(X2,X2)
                    | g_both(X2,X2) )
                  & g_true_only(X2,X1) ) )
          & ? [X2] :
              ( g_both(X2,X2)
              & g_both(X2,X1) ) ) )
    | ? [X2] :
      ! [X1] :
      ? [X3] :
        ( ( ( g_both(X3,X2)
            | g_false_only(X3,X2) )
          & g_false_only(X3,X1) )
        | ( ( g_true_only(X3,X2)
            | g_false_only(X3,X2) )
          & g_both(X3,X1) )
        | ( ( g_true_only(X3,X2)
            | g_both(X3,X2) )
          & g_true_only(X3,X1) ) )
    | ! [X1] :
      ? [X2] :
        ( ( ( g_both(X2,X2)
            | g_true_only(X2,X2) )
          & g_false_only(X2,X1) )
        | ( ( g_false_only(X2,X2)
            | g_true_only(X2,X2) )
          & g_both(X2,X1) )
        | ( ( g_false_only(X2,X2)
            | g_both(X2,X2) )
          & g_true_only(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc4) ).

fof(exhaustion_g,axiom,
    ! [X4,X5] :
      ( g_false_only(X4,X5)
      | g_both(X4,X5)
      | g_true_only(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).

fof(true_only_g,axiom,
    ! [X4,X5] :
      ( g_true_only(X4,X5)
    <=> ( ~ g_false(X4,X5)
        & g_true(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).

fof(false_only_g,axiom,
    ! [X4,X5] :
      ( g_false_only(X4,X5)
    <=> ( ~ g_true(X4,X5)
        & g_false(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).

fof(both_g,axiom,
    ! [X4,X5] :
      ( g_both(X4,X5)
    <=> ( g_false(X4,X5)
        & g_true(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).

fof(c_0_5,negated_conjecture,
    ~ ( ( ~ ? [X2] :
            ! [X1] :
            ? [X3] :
              ( ( ( g_both(X3,X2)
                  | g_false_only(X3,X2) )
                & g_false_only(X3,X1) )
              | ( ( g_true_only(X3,X2)
                  | g_false_only(X3,X2) )
                & g_both(X3,X1) )
              | ( ( g_true_only(X3,X2)
                  | g_both(X3,X2) )
                & g_true_only(X3,X1) ) )
        & ? [X2] :
            ( ~ ? [X1] :
                ! [X3] :
                  ( ( g_true_only(X3,X2)
                    & g_false_only(X3,X1) )
                  | ( g_false_only(X3,X2)
                    & g_true_only(X3,X1) ) )
            & ? [X1] :
                ( ~ ? [X3] :
                      ( ( ( g_both(X3,X2)
                          | g_false_only(X3,X2) )
                        & g_false_only(X3,X1) )
                      | ( ( g_true_only(X3,X2)
                          | g_false_only(X3,X2) )
                        & g_both(X3,X1) )
                      | ( ( g_true_only(X3,X2)
                          | g_both(X3,X2) )
                        & g_true_only(X3,X1) ) )
                & ? [X3] :
                    ( g_both(X3,X2)
                    & g_both(X3,X1) ) ) )
        & ~ ? [X1] :
            ! [X2] :
              ( ( g_false_only(X2,X2)
                & g_false_only(X2,X1) )
              | ( g_true_only(X2,X2)
                & g_true_only(X2,X1) ) )
        & ? [X1] :
            ( ~ ? [X2] :
                  ( ( ( g_both(X2,X2)
                      | g_true_only(X2,X2) )
                    & g_false_only(X2,X1) )
                  | ( ( g_false_only(X2,X2)
                      | g_true_only(X2,X2) )
                    & g_both(X2,X1) )
                  | ( ( g_false_only(X2,X2)
                      | g_both(X2,X2) )
                    & g_true_only(X2,X1) ) )
            & ? [X2] :
                ( g_both(X2,X2)
                & g_both(X2,X1) ) ) )
      | ? [X2] :
        ! [X1] :
        ? [X3] :
          ( ( ( g_both(X3,X2)
              | g_false_only(X3,X2) )
            & g_false_only(X3,X1) )
          | ( ( g_true_only(X3,X2)
              | g_false_only(X3,X2) )
            & g_both(X3,X1) )
          | ( ( g_true_only(X3,X2)
              | g_both(X3,X2) )
            & g_true_only(X3,X1) ) )
      | ! [X1] :
        ? [X2] :
          ( ( ( g_both(X2,X2)
              | g_true_only(X2,X2) )
            & g_false_only(X2,X1) )
          | ( ( g_false_only(X2,X2)
              | g_true_only(X2,X2) )
            & g_both(X2,X1) )
          | ( ( g_false_only(X2,X2)
              | g_both(X2,X2) )
            & g_true_only(X2,X1) ) ) ),
    inference(assume_negation,[status(cth)],[nc4]) ).

fof(c_0_6,plain,
    ( epred1_0
  <=> ( ~ ? [X1] :
          ! [X2] :
            ( ( g_false_only(X2,X2)
              & g_false_only(X2,X1) )
            | ( g_true_only(X2,X2)
              & g_true_only(X2,X1) ) )
      & ? [X1] :
          ( ~ ? [X2] :
                ( ( ( g_both(X2,X2)
                    | g_true_only(X2,X2) )
                  & g_false_only(X2,X1) )
                | ( ( g_false_only(X2,X2)
                    | g_true_only(X2,X2) )
                  & g_both(X2,X1) )
                | ( ( g_false_only(X2,X2)
                    | g_both(X2,X2) )
                  & g_true_only(X2,X1) ) )
          & ? [X2] :
              ( g_both(X2,X2)
              & g_both(X2,X1) ) ) ) ),
    introduced(definition) ).

fof(c_0_7,plain,
    ( epred2_0
  <=> ? [X2] :
        ( ~ ? [X1] :
            ! [X3] :
              ( ( g_true_only(X3,X2)
                & g_false_only(X3,X1) )
              | ( g_false_only(X3,X2)
                & g_true_only(X3,X1) ) )
        & ? [X1] :
            ( ~ ? [X3] :
                  ( ( ( g_both(X3,X2)
                      | g_false_only(X3,X2) )
                    & g_false_only(X3,X1) )
                  | ( ( g_true_only(X3,X2)
                      | g_false_only(X3,X2) )
                    & g_both(X3,X1) )
                  | ( ( g_true_only(X3,X2)
                      | g_both(X3,X2) )
                    & g_true_only(X3,X1) ) )
            & ? [X3] :
                ( g_both(X3,X2)
                & g_both(X3,X1) ) ) ) ),
    introduced(definition) ).

fof(c_0_8,negated_conjecture,
    ~ ( ( ~ ? [X2] :
            ! [X1] :
            ? [X3] :
              ( ( ( g_both(X3,X2)
                  | g_false_only(X3,X2) )
                & g_false_only(X3,X1) )
              | ( ( g_true_only(X3,X2)
                  | g_false_only(X3,X2) )
                & g_both(X3,X1) )
              | ( ( g_true_only(X3,X2)
                  | g_both(X3,X2) )
                & g_true_only(X3,X1) ) )
        & epred2_0
        & epred1_0 )
      | ? [X2] :
        ! [X1] :
        ? [X3] :
          ( ( ( g_both(X3,X2)
              | g_false_only(X3,X2) )
            & g_false_only(X3,X1) )
          | ( ( g_true_only(X3,X2)
              | g_false_only(X3,X2) )
            & g_both(X3,X1) )
          | ( ( g_true_only(X3,X2)
              | g_both(X3,X2) )
            & g_true_only(X3,X1) ) )
      | ! [X1] :
        ? [X2] :
          ( ( ( g_both(X2,X2)
              | g_true_only(X2,X2) )
            & g_false_only(X2,X1) )
          | ( ( g_false_only(X2,X2)
              | g_true_only(X2,X2) )
            & g_both(X2,X1) )
          | ( ( g_false_only(X2,X2)
              | g_both(X2,X2) )
            & g_true_only(X2,X1) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

fof(c_0_9,negated_conjecture,
    ! [X7,X8,X10,X11,X12,X14] :
      ( ( ~ epred2_0
        | ~ epred1_0
        | g_true_only(esk4_1(X14),esk3_0)
        | g_both(esk4_1(X14),esk3_0)
        | g_true_only(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),esk3_0)
        | g_both(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),esk3_0) )
      & ( ~ epred2_0
        | ~ epred1_0
        | g_true_only(esk4_1(X14),esk3_0)
        | g_both(esk4_1(X14),esk3_0)
        | g_true_only(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),X14) )
      & ( ~ epred2_0
        | ~ epred1_0
        | g_true_only(esk4_1(X14),esk3_0)
        | g_both(esk4_1(X14),esk3_0)
        | g_both(esk4_1(X14),X14)
        | g_both(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),esk3_0) )
      & ( ~ epred2_0
        | ~ epred1_0
        | g_true_only(esk4_1(X14),esk3_0)
        | g_both(esk4_1(X14),esk3_0)
        | g_both(esk4_1(X14),X14)
        | g_false_only(esk4_1(X14),X14) )
      & ( ~ epred2_0
        | ~ epred1_0
        | g_true_only(esk4_1(X14),X14)
        | g_true_only(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),esk3_0)
        | g_both(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),esk3_0) )
      & ( ~ epred2_0
        | ~ epred1_0
        | g_true_only(esk4_1(X14),X14)
        | g_true_only(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),X14) )
      & ( ~ epred2_0
        | ~ epred1_0
        | g_true_only(esk4_1(X14),X14)
        | g_both(esk4_1(X14),X14)
        | g_both(esk4_1(X14),esk3_0)
        | g_false_only(esk4_1(X14),esk3_0) )
      & ( ~ epred2_0
        | ~ epred1_0
        | g_true_only(esk4_1(X14),X14)
        | g_both(esk4_1(X14),X14)
        | g_false_only(esk4_1(X14),X14) )
      & ( ~ g_false_only(X12,esk2_1(X8))
        | ~ g_both(X12,X8) )
      & ( ~ g_false_only(X12,esk2_1(X8))
        | ~ g_false_only(X12,X8) )
      & ( ~ g_both(X11,esk2_1(X8))
        | ~ g_true_only(X11,X8) )
      & ( ~ g_both(X11,esk2_1(X8))
        | ~ g_false_only(X11,X8) )
      & ( ~ g_true_only(X10,esk2_1(X8))
        | ~ g_true_only(X10,X8) )
      & ( ~ g_true_only(X10,esk2_1(X8))
        | ~ g_both(X10,X8) )
      & ( ~ g_false_only(X7,esk1_0)
        | ~ g_both(X7,X7) )
      & ( ~ g_false_only(X7,esk1_0)
        | ~ g_true_only(X7,X7) )
      & ( ~ g_both(X7,esk1_0)
        | ~ g_false_only(X7,X7) )
      & ( ~ g_both(X7,esk1_0)
        | ~ g_true_only(X7,X7) )
      & ( ~ g_true_only(X7,esk1_0)
        | ~ g_false_only(X7,X7) )
      & ( ~ g_true_only(X7,esk1_0)
        | ~ g_both(X7,X7) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).

fof(c_0_10,plain,
    ! [X22,X23] :
      ( g_false_only(X22,X23)
      | g_both(X22,X23)
      | g_true_only(X22,X23) ),
    inference(variable_rename,[status(thm)],[exhaustion_g]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ g_true_only(X1,esk1_0)
    | ~ g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    ( g_false_only(X1,X2)
    | g_both(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ g_both(X1,esk1_0)
    | ~ g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ g_true_only(X1,esk2_1(X2))
    | ~ g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ g_both(X1,esk2_1(X2))
    | ~ g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | g_false_only(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ g_true_only(X1,X2)
    | g_false_only(X1,esk2_1(X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ g_true_only(esk2_1(X1),X1)
    | g_false_only(esk2_1(X1),esk1_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ g_false_only(X1,esk2_1(X2))
    | ~ g_false_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    ( g_both(esk2_1(X1),X1)
    | g_false_only(esk2_1(X1),X1)
    | g_false_only(esk2_1(X1),esk1_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_12]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ g_both(X1,esk2_1(X2))
    | ~ g_false_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ g_false_only(esk2_1(esk2_1(X1)),X1)
    | g_false_only(esk2_1(esk2_1(X1)),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ g_true_only(esk2_1(esk2_1(esk2_1(X1))),X1)
    | g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ g_false_only(X1,esk1_0)
    | ~ g_true_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ g_false_only(X1,esk1_0)
    | ~ g_both(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_26,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(X1))),X1)
    | g_false_only(esk2_1(esk2_1(esk2_1(X1))),X1)
    | g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_12]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ g_false_only(X1,esk1_0)
    | g_false_only(X1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_12]),c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ( g_both(esk2_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk1_0),esk1_0) ),
    inference(ef,[status(thm)],[c_0_20]) ).

cnf(c_0_29,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0)
    | g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0) ),
    inference(ef,[status(thm)],[c_0_26]) ).

fof(c_0_30,plain,
    ( ( ~ ? [X1] :
          ! [X2] :
            ( ( g_false_only(X2,X2)
              & g_false_only(X2,X1) )
            | ( g_true_only(X2,X2)
              & g_true_only(X2,X1) ) )
      & ? [X1] :
          ( ~ ? [X2] :
                ( ( ( g_both(X2,X2)
                    | g_true_only(X2,X2) )
                  & g_false_only(X2,X1) )
                | ( ( g_false_only(X2,X2)
                    | g_true_only(X2,X2) )
                  & g_both(X2,X1) )
                | ( ( g_false_only(X2,X2)
                    | g_both(X2,X2) )
                  & g_true_only(X2,X1) ) )
          & ? [X2] :
              ( g_both(X2,X2)
              & g_both(X2,X1) ) ) )
   => epred1_0 ),
    inference(split_equiv,[status(thm)],[c_0_6]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ g_both(X1,esk1_0)
    | ~ g_true_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_32,negated_conjecture,
    ( g_both(esk2_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk1_0),esk2_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0)
    | g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_27,c_0_29]) ).

fof(c_0_34,plain,
    ! [X24,X25,X30] :
      ( ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,X30)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,X30)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,X30)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,X30)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_both(esk6_1(X24),X24)
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,X30)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_both(esk6_1(X24),X24)
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,X30)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_both(esk6_1(X24),X24)
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_both(esk6_1(X24),X24)
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_both(esk6_1(X24),X24)
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,X30)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_both(esk6_1(X24),X24)
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,X30)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_both(esk6_1(X24),X24)
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_false_only(esk5_1(X24),esk5_1(X24))
        | g_both(esk5_1(X24),esk5_1(X24))
        | g_both(esk6_1(X24),X24)
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,X30)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,X30)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,X30)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,X30)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_false_only(esk6_1(X24),esk6_1(X24))
        | g_true_only(esk6_1(X24),esk6_1(X24))
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_both(esk6_1(X24),X24)
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,X30)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_both(esk6_1(X24),X24)
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,X30)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_both(esk6_1(X24),X24)
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_both(esk6_1(X24),X24)
        | g_both(esk7_1(X24),esk7_1(X24))
        | g_true_only(esk7_1(X24),esk7_1(X24))
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_both(esk6_1(X24),X24)
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,X30)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_both(esk6_1(X24),X24)
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,X30)
        | g_false_only(X30,esk8_0) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_both(esk6_1(X24),X24)
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,X30) )
      & ( epred1_0
        | ~ g_both(X25,X25)
        | ~ g_both(X25,X24)
        | g_true_only(esk5_1(X24),X24)
        | g_both(esk6_1(X24),X24)
        | g_false_only(esk7_1(X24),X24)
        | g_true_only(X30,esk8_0)
        | g_false_only(X30,esk8_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])])])]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ g_both(X1,esk1_0)
    | g_both(X1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_12]),c_0_13]) ).

cnf(c_0_36,negated_conjecture,
    g_both(esk2_1(esk1_0),esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_32]),c_0_28]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0)))
    | g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ g_true_only(X1,esk2_1(X2))
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_39,plain,
    ! [X4,X5] :
      ( g_true_only(X4,X5)
    <=> ( ~ g_false(X4,X5)
        & g_true(X4,X5) ) ),
    inference(fof_simplification,[status(thm)],[true_only_g]) ).

fof(c_0_40,plain,
    ! [X4,X5] :
      ( g_false_only(X4,X5)
    <=> ( ~ g_true(X4,X5)
        & g_false(X4,X5) ) ),
    inference(fof_simplification,[status(thm)],[false_only_g]) ).

cnf(c_0_41,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_42,negated_conjecture,
    g_both(esk2_1(esk1_0),esk2_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    ~ g_true_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_17]),c_0_38]) ).

fof(c_0_44,plain,
    ! [X16,X17] :
      ( ( g_true_only(X16,X17)
        | g_false(X16,X17)
        | ~ g_true(X16,X17) )
      & ( ~ g_true_only(X16,X17)
        | ~ g_false(X16,X17) )
      & ( ~ g_true_only(X16,X17)
        | g_true(X16,X17) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).

fof(c_0_45,plain,
    ! [X20,X21] :
      ( ( g_false_only(X20,X21)
        | g_true(X20,X21)
        | ~ g_false(X20,X21) )
      & ( ~ g_false_only(X20,X21)
        | ~ g_true(X20,X21) )
      & ( ~ g_false_only(X20,X21)
        | g_false(X20,X21) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).

cnf(c_0_46,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,X1)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ g_both(esk2_1(esk1_0),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk5_1(X1),X1)
    | g_both(esk6_1(X1),X1)
    | g_false_only(X2,esk8_0)
    | g_false_only(esk7_1(X1),X1)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0))
    | g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_12]) ).

cnf(c_0_49,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_50,plain,
    ( ~ g_true_only(X1,X2)
    | ~ g_false(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,plain,
    ( ~ g_false_only(X1,X2)
    | g_false(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ g_both(esk2_1(esk1_0),X1)
    | g_true_only(X2,X2)
    | g_true_only(esk5_1(X1),X1)
    | g_both(esk6_1(X1),X1)
    | g_false_only(X2,esk8_0)
    | g_false_only(esk7_1(X1),X1)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_42]) ).

cnf(c_0_53,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_47,c_0_36]) ).

cnf(c_0_54,negated_conjecture,
    ~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_48]),c_0_21]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ g_both(esk2_1(esk1_0),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk5_1(X1),X1)
    | g_both(esk6_1(X1),X1)
    | g_false_only(X2,X2)
    | g_false_only(esk7_1(X1),X1)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_49,c_0_42]) ).

cnf(c_0_56,plain,
    ( ~ g_true_only(X1,X2)
    | ~ g_false_only(X1,X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_57,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_36]) ).

cnf(c_0_58,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_18,c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
    inference(sr,[status(thm)],[c_0_29,c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_36]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_58]) ).

cnf(c_0_63,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_64,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0)))),
    inference(spm,[status(thm)],[c_0_35,c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ g_false_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_67,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,X1)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk5_1(X1),X1)
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(X2,X2)
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X2)
    | g_true_only(esk5_1(X1),X1)
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_67,c_0_64]) ).

cnf(c_0_71,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_68,c_0_59]) ).

cnf(c_0_72,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_69]),c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_70,c_0_59]) ).

cnf(c_0_74,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ g_true_only(X1,esk1_0)
    | ~ g_both(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_76,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_77,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_71]),c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_73]) ).

cnf(c_0_79,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,X1)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_80,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,X1)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ g_both(esk2_1(esk1_0),X1)
    | g_true_only(X2,esk8_0)
    | g_both(esk6_1(X1),X1)
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_74,c_0_42]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_75,c_0_72]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_11,c_0_72]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ g_both(esk2_1(esk1_0),X2)
    | g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(X2),X2)
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_76,c_0_42]) ).

cnf(c_0_85,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_77]) ).

cnf(c_0_86,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_78]),c_0_72]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X2)
    | g_both(esk6_1(X1),X1)
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_79,c_0_64]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ g_both(esk2_1(esk1_0),X2)
    | g_true_only(X1,X1)
    | g_true_only(esk5_1(X2),X2)
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_80,c_0_42]) ).

cnf(c_0_89,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_36]),c_0_82]),c_0_83]) ).

cnf(c_0_90,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_84,c_0_36]) ).

cnf(c_0_91,negated_conjecture,
    ( g_true_only(esk6_1(esk1_0),esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_85]),c_0_72]) ).

cnf(c_0_92,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_86]),c_0_72]) ).

cnf(c_0_93,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_59]),c_0_82]),c_0_83]) ).

cnf(c_0_94,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_88,c_0_36]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(X1,esk8_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_89]) ).

cnf(c_0_96,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_90]),c_0_72]) ).

cnf(c_0_97,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_98,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_91]),c_0_92]) ).

cnf(c_0_99,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(X1,X1)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_93]) ).

cnf(c_0_101,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_94]),c_0_72]) ).

cnf(c_0_102,negated_conjecture,
    ( g_true_only(X2,esk8_0)
    | g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X2,esk8_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,esk8_0)
    | g_both(esk6_1(X1),X1)
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,X2)
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_97,c_0_64]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_75,c_0_98]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_11,c_0_98]) ).

cnf(c_0_106,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_18,c_0_89]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X2)
    | g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(X2),X2)
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_false_only(X1,X1)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_99,c_0_64]) ).

cnf(c_0_108,negated_conjecture,
    ( g_true_only(X2,X2)
    | g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X2,esk8_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_109,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_102]) ).

cnf(c_0_110,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_59]),c_0_104]),c_0_105]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_93]) ).

cnf(c_0_112,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_106]) ).

cnf(c_0_113,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_107,c_0_59]) ).

cnf(c_0_114,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_108]) ).

cnf(c_0_115,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_18,c_0_109]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ g_false_only(X1,esk8_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_110]) ).

cnf(c_0_117,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_118,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_113]),c_0_72]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_114]) ).

cnf(c_0_120,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_115]) ).

cnf(c_0_121,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ g_false_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_118]) ).

cnf(c_0_123,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_124,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_121]),c_0_117]) ).

cnf(c_0_125,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_124]) ).

cnf(c_0_127,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_125]),c_0_123]) ).

cnf(c_0_128,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_129,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_130,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,X1)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_both(esk6_1(X1),X1)
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_64]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_75,c_0_129]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_11,c_0_129]) ).

cnf(c_0_134,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_135,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ g_both(esk2_1(X1),esk2_1(X1))
    | g_both(esk2_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_21]) ).

cnf(c_0_137,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X2)
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_both(esk6_1(X1),X1)
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_130,c_0_64]) ).

cnf(c_0_139,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_59]),c_0_126]),c_0_132]),c_0_133]) ).

cnf(c_0_140,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,X1)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_141,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,X1)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_134,c_0_64]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk5_1(X1),X1)
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_135,c_0_64]) ).

fof(c_0_144,plain,
    ( ? [X2] :
        ( ~ ? [X1] :
            ! [X3] :
              ( ( g_true_only(X3,X2)
                & g_false_only(X3,X1) )
              | ( g_false_only(X3,X2)
                & g_true_only(X3,X1) ) )
        & ? [X1] :
            ( ~ ? [X3] :
                  ( ( ( g_both(X3,X2)
                      | g_false_only(X3,X2) )
                    & g_false_only(X3,X1) )
                  | ( ( g_true_only(X3,X2)
                      | g_false_only(X3,X2) )
                    & g_both(X3,X1) )
                  | ( ( g_true_only(X3,X2)
                      | g_both(X3,X2) )
                    & g_true_only(X3,X1) ) )
            & ? [X3] :
                ( g_both(X3,X2)
                & g_both(X3,X1) ) ) )
   => epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_7]) ).

cnf(c_0_145,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0))),
    inference(spm,[status(thm)],[c_0_136,c_0_64]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_both(esk6_1(X1),X1)
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,X2)
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_137,c_0_64]) ).

cnf(c_0_147,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_59]),c_0_126]),c_0_132]),c_0_133]) ).

cnf(c_0_148,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_139]),c_0_124]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X2)
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_140,c_0_64]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X2)
    | g_true_only(esk5_1(X1),X1)
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_141,c_0_64]) ).

cnf(c_0_151,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_59]),c_0_104]),c_0_105]) ).

cnf(c_0_152,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_143,c_0_59]) ).

fof(c_0_153,plain,
    ! [X31,X32,X33,X38] :
      ( ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_false_only(X38,X31)
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_false_only(X38,X31)
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_true_only(X38,esk12_1(X31))
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_true_only(X38,esk12_1(X31))
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_false_only(X38,X31)
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_false_only(X38,X31)
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_true_only(X38,esk12_1(X31))
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_true_only(X38,esk12_1(X31))
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_both(esk10_2(X31,X32),X32)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_false_only(X38,X31)
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_both(esk10_2(X31,X32),X32)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_false_only(X38,X31)
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_both(esk10_2(X31,X32),X32)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_true_only(X38,esk12_1(X31))
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_both(esk10_2(X31,X32),X32)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_true_only(X38,esk12_1(X31))
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_both(esk10_2(X31,X32),X32)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_false_only(X38,X31)
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_both(esk10_2(X31,X32),X32)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_false_only(X38,X31)
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_both(esk10_2(X31,X32),X32)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_true_only(X38,esk12_1(X31))
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X31)
        | g_both(esk9_2(X31,X32),X31)
        | g_both(esk10_2(X31,X32),X32)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_true_only(X38,esk12_1(X31))
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_false_only(X38,X31)
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_false_only(X38,X31)
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_true_only(X38,esk12_1(X31))
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_true_only(X38,esk12_1(X31))
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_false_only(X38,X31)
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_false_only(X38,X31)
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_true_only(X38,esk12_1(X31))
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_true_only(esk10_2(X31,X32),X31)
        | g_false_only(esk10_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_true_only(X38,esk12_1(X31))
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_both(esk10_2(X31,X32),X32)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_false_only(X38,X31)
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_both(esk10_2(X31,X32),X32)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_false_only(X38,X31)
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_both(esk10_2(X31,X32),X32)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_true_only(X38,esk12_1(X31))
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_both(esk10_2(X31,X32),X32)
        | g_both(esk11_2(X31,X32),X31)
        | g_false_only(esk11_2(X31,X32),X31)
        | g_true_only(X38,esk12_1(X31))
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_both(esk10_2(X31,X32),X32)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_false_only(X38,X31)
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_both(esk10_2(X31,X32),X32)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_false_only(X38,X31)
        | g_false_only(X38,esk12_1(X31)) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_both(esk10_2(X31,X32),X32)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_true_only(X38,esk12_1(X31))
        | g_true_only(X38,X31) )
      & ( epred2_0
        | ~ g_both(X33,X31)
        | ~ g_both(X33,X32)
        | g_true_only(esk9_2(X31,X32),X32)
        | g_both(esk10_2(X31,X32),X32)
        | g_false_only(esk11_2(X31,X32),X32)
        | g_true_only(X38,esk12_1(X31))
        | g_false_only(X38,esk12_1(X31)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_144])])])])])])]) ).

cnf(c_0_154,negated_conjecture,
    ~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_21,c_0_145]) ).

cnf(c_0_155,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_59]),c_0_126]),c_0_132]),c_0_133]) ).

cnf(c_0_156,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_147]),c_0_124]) ).

cnf(c_0_157,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_18,c_0_148]) ).

cnf(c_0_158,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_59]),c_0_104]),c_0_105]) ).

cnf(c_0_159,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_59]) ).

cnf(c_0_160,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_151]),c_0_124]) ).

cnf(c_0_161,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_152]),c_0_98]) ).

cnf(c_0_162,plain,
    ( ~ g_both(X4,X2)
    | ~ g_both(X4,X3)
    | epred2_0
    | g_true_only(esk9_2(X2,X3),X3)
    | g_both(esk10_2(X2,X3),X3)
    | g_false_only(esk11_2(X2,X3),X3)
    | g_false_only(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_163,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)),
    inference(sr,[status(thm)],[c_0_48,c_0_154]) ).

cnf(c_0_164,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_155]),c_0_124]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_156]) ).

cnf(c_0_166,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_157]) ).

cnf(c_0_167,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_true_only(esk5_1(X2),X2)
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_168,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_158]),c_0_124]) ).

cnf(c_0_169,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_159]),c_0_98]) ).

cnf(c_0_170,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_160]),c_0_124]) ).

cnf(c_0_171,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_161]),c_0_129]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X2,X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_173,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ g_false_only(X1,esk8_0)
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_164]) ).

cnf(c_0_175,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk5_1(X1),X1)
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_false_only(X2,X2)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_167,c_0_64]) ).

cnf(c_0_177,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_false_only(X1,esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_168]),c_0_124]) ).

cnf(c_0_178,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_169]),c_0_129]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_170]) ).

cnf(c_0_180,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_171]),c_0_129]) ).

cnf(c_0_181,plain,
    ( ~ g_both(X4,X2)
    | ~ g_both(X4,X3)
    | epred2_0
    | g_true_only(esk9_2(X2,X3),X3)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X3)
    | g_false_only(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_182,negated_conjecture,
    ( g_true_only(X1,esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X1,esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_172,c_0_59]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,X2)
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_64]) ).

cnf(c_0_184,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_185,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_176,c_0_59]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(X1,X1)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_177]) ).

cnf(c_0_187,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_178]),c_0_129]) ).

cnf(c_0_188,negated_conjecture,
    ( g_true_only(X2,esk8_0)
    | g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(X2,esk8_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X1)
    | g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X2,X1)
    | g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_181,c_0_163]) ).

cnf(c_0_190,negated_conjecture,
    ( g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_182]),c_0_54]) ).

cnf(c_0_191,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_59]),c_0_104]),c_0_105]) ).

cnf(c_0_192,negated_conjecture,
    ( g_both(esk6_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_184]),c_0_175]) ).

cnf(c_0_193,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_185]),c_0_98]) ).

cnf(c_0_194,negated_conjecture,
    ( g_true_only(X2,X2)
    | g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(X2,esk8_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_195,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_188]) ).

cnf(c_0_196,plain,
    ( ~ g_both(X4,X2)
    | ~ g_both(X4,X3)
    | epred2_0
    | g_true_only(esk9_2(X2,X3),X3)
    | g_both(esk10_2(X2,X3),X3)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | g_false_only(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_197,negated_conjecture,
    ( g_true_only(X1,esk1_0)
    | g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X1,esk1_0)
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_59]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ g_false_only(X1,esk2_1(X2))
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_14,c_0_190]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_38,c_0_190]) ).

cnf(c_0_201,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_191]),c_0_192]) ).

cnf(c_0_202,negated_conjecture,
    ( g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_158]) ).

cnf(c_0_203,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_193]),c_0_129]) ).

cnf(c_0_204,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_194]) ).

cnf(c_0_205,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_18,c_0_195]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X2,X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_196,c_0_163]) ).

cnf(c_0_207,negated_conjecture,
    ( g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_197]),c_0_54]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_19,c_0_199]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_200]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_19,c_0_200]) ).

cnf(c_0_212,negated_conjecture,
    ( g_true_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_201]) ).

cnf(c_0_213,negated_conjecture,
    ( g_false_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_202]),c_0_124]) ).

cnf(c_0_214,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_203]),c_0_129]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(X1,esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_204]) ).

cnf(c_0_216,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_205]) ).

cnf(c_0_217,plain,
    ( ~ g_both(X4,X2)
    | ~ g_both(X4,X3)
    | epred2_0
    | g_true_only(esk9_2(X2,X3),X3)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | g_false_only(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_218,negated_conjecture,
    ( g_true_only(X1,esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X1,esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_59]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_14,c_0_207]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_208]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_208]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_209]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_209]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_38,c_0_207]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_210]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_210]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_211]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_211]) ).

cnf(c_0_229,negated_conjecture,
    ( g_true_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_212]),c_0_192]) ).

cnf(c_0_230,negated_conjecture,
    ( g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk6_1(esk1_0),esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_213]),c_0_124]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ g_false_only(X1,esk8_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_214]) ).

cnf(c_0_232,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_false_only(esk2_1(esk8_0),esk8_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X1)
    | g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(X2,X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_217,c_0_163]) ).

cnf(c_0_234,negated_conjecture,
    ( g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_218]),c_0_54]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_219]),c_0_220]),c_0_221]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_219]),c_0_222]),c_0_223]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_224]),c_0_225]),c_0_226]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_224]),c_0_227]),c_0_228]) ).

cnf(c_0_239,plain,
    ( ~ g_both(X4,X2)
    | ~ g_both(X4,X3)
    | epred2_0
    | g_true_only(esk9_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_both(esk10_2(X2,X3),X3)
    | g_false_only(esk11_2(X2,X3),X3)
    | g_false_only(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_240,negated_conjecture,
    ( g_false_only(esk7_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_229]),c_0_230]) ).

cnf(c_0_241,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(esk2_1(esk8_0),esk2_1(esk8_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_242,negated_conjecture,
    ( g_true_only(X1,esk1_0)
    | g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(X1,esk1_0)
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_233,c_0_59]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_234]),c_0_235]),c_0_236]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_234]),c_0_237]),c_0_238]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X2,X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_239,c_0_163]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_240]) ).

cnf(c_0_247,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_241]),c_0_232]) ).

cnf(c_0_248,plain,
    ( ~ g_both(X4,X2)
    | ~ g_both(X4,X3)
    | epred2_0
    | g_true_only(esk9_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X3)
    | g_false_only(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_249,negated_conjecture,
    ( g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_242]),c_0_54]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_243]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_243]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_244]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_244]) ).

cnf(c_0_254,negated_conjecture,
    ( g_true_only(X1,esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X1,esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_59]),c_0_243]),c_0_244]) ).

cnf(c_0_255,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,esk8_0)
    | g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_256,negated_conjecture,
    ( g_true_only(esk5_1(esk1_0),esk1_0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_257,plain,
    ( ~ g_both(X3,X3)
    | ~ g_both(X3,X2)
    | epred1_0
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(X1,X1)
    | g_false_only(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X1)
    | g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(X2,X1)
    | g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_248,c_0_163]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_249]),c_0_250]),c_0_235]),c_0_236]),c_0_251]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_249]),c_0_252]),c_0_237]),c_0_238]),c_0_253]) ).

cnf(c_0_261,negated_conjecture,
    ( g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_254]),c_0_54]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,esk8_0)
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,X2)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_255,c_0_64]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_75,c_0_256]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_11,c_0_256]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X2)
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,esk8_0)
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_257,c_0_64]) ).

cnf(c_0_266,negated_conjecture,
    ( g_true_only(X1,esk1_0)
    | g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(X1,esk1_0)
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_59]),c_0_259]),c_0_260]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_261]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_19,c_0_261]) ).

cnf(c_0_269,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_59]),c_0_246]),c_0_263]),c_0_264]) ).

cnf(c_0_270,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_59]),c_0_246]),c_0_263]),c_0_264]) ).

cnf(c_0_271,plain,
    ( ~ g_both(X4,X2)
    | ~ g_both(X4,X3)
    | epred2_0
    | g_true_only(esk9_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_both(esk10_2(X2,X3),X3)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | g_false_only(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_272,negated_conjecture,
    ( g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_266]),c_0_54]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_267]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_267]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_268]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_268]) ).

fof(c_0_277,plain,
    ! [X18,X19] :
      ( ( g_both(X18,X19)
        | ~ g_false(X18,X19)
        | ~ g_true(X18,X19) )
      & ( ~ g_both(X18,X19)
        | g_false(X18,X19) )
      & ( ~ g_both(X18,X19)
        | g_true(X18,X19) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[both_g])])])]) ).

cnf(c_0_278,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,X1)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_269]),c_0_240]) ).

cnf(c_0_279,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_270]),c_0_240]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X2,X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_271,c_0_163]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_272]),c_0_273]),c_0_274]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_272]),c_0_275]),c_0_276]) ).

cnf(c_0_283,plain,
    ( ~ g_false_only(X1,X2)
    | ~ g_true(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_284,plain,
    ( ~ g_both(X1,X2)
    | g_true(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_277]) ).

cnf(c_0_285,negated_conjecture,
    ( g_true_only(X1,esk8_0)
    | g_false_only(X1,X1)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_278]),c_0_192]) ).

cnf(c_0_286,negated_conjecture,
    ( g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_279]) ).

cnf(c_0_287,negated_conjecture,
    ( g_true_only(X1,esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X1,esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_59]),c_0_259]),c_0_281]),c_0_260]),c_0_282]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0
    | g_true_only(esk4_1(X1),X1)
    | g_both(esk4_1(X1),X1)
    | g_both(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_289,plain,
    ( ~ g_both(X1,X2)
    | ~ g_false_only(X1,X2) ),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_290,negated_conjecture,
    ( g_true_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(ef,[status(thm)],[c_0_285]) ).

cnf(c_0_291,negated_conjecture,
    ( g_false_only(esk6_1(esk1_0),esk8_0)
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_286]),c_0_192]) ).

cnf(c_0_292,plain,
    ( ~ g_both(X4,X2)
    | ~ g_both(X4,X3)
    | epred2_0
    | g_true_only(esk9_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | g_false_only(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_293,negated_conjecture,
    ( g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_287]),c_0_54]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ g_false_only(esk4_1(X1),X1)
    | ~ epred1_0
    | ~ epred2_0
    | g_both(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_288]),c_0_289]) ).

cnf(c_0_295,negated_conjecture,
    ( g_true_only(esk6_1(esk1_0),esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_290]),c_0_192]) ).

cnf(c_0_296,negated_conjecture,
    ( g_false_only(esk6_1(esk1_0),esk8_0)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_291]),c_0_192]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1)
    | g_true_only(X2,X1)
    | g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(X2,X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_163]) ).

cnf(c_0_298,negated_conjecture,
    ( ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_293]) ).

cnf(c_0_299,negated_conjecture,
    ( ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_293]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ g_true_only(esk4_1(esk2_1(X1)),X1)
    | ~ epred1_0
    | ~ epred2_0
    | g_both(esk4_1(esk2_1(X1)),esk3_0)
    | g_false_only(esk4_1(esk2_1(X1)),esk3_0) ),
    inference(spm,[status(thm)],[c_0_294,c_0_17]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0
    | g_true_only(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),X1)
    | g_false_only(esk4_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_302,negated_conjecture,
    epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_295]),c_0_296]) ).

cnf(c_0_303,negated_conjecture,
    ( g_true_only(X1,esk1_0)
    | g_false_only(X1,esk1_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_59]),c_0_298]),c_0_259]),c_0_281]),c_0_260]),c_0_282]),c_0_299]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0
    | g_both(esk4_1(esk2_1(X1)),X1)
    | g_both(esk4_1(esk2_1(X1)),esk3_0)
    | g_false_only(esk4_1(esk2_1(X1)),X1)
    | g_false_only(esk4_1(esk2_1(X1)),esk3_0) ),
    inference(spm,[status(thm)],[c_0_300,c_0_12]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ epred2_0
    | g_true_only(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),X1)
    | g_both(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_302])]) ).

cnf(c_0_306,negated_conjecture,
    epred2_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_303]),c_0_54]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ epred2_0
    | g_both(esk4_1(esk2_1(X1)),X1)
    | g_both(esk4_1(esk2_1(X1)),esk3_0)
    | g_false_only(esk4_1(esk2_1(X1)),X1)
    | g_false_only(esk4_1(esk2_1(X1)),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_302])]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0
    | g_true_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_309,negated_conjecture,
    ( g_true_only(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),X1)
    | g_both(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_306])]) ).

cnf(c_0_310,negated_conjecture,
    ( g_both(esk4_1(esk2_1(X1)),X1)
    | g_both(esk4_1(esk2_1(X1)),esk3_0)
    | g_false_only(esk4_1(esk2_1(X1)),X1)
    | g_false_only(esk4_1(esk2_1(X1)),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_306])]) ).

cnf(c_0_311,plain,
    ( ~ g_both(X1,X2)
    | g_false(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_277]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ epred2_0
    | g_true_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),X1)
    | g_false_only(esk4_1(X1),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_302])]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ g_false_only(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),X1)
    | g_false_only(esk4_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_309]),c_0_289]) ).

cnf(c_0_314,negated_conjecture,
    ( g_both(esk4_1(esk2_1(esk3_0)),esk3_0)
    | g_false_only(esk4_1(esk2_1(esk3_0)),esk3_0) ),
    inference(ef,[status(thm)],[c_0_310]) ).

cnf(c_0_315,negated_conjecture,
    ( ~ g_both(X1,X2)
    | g_both(X1,esk2_1(X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_12]),c_0_198]) ).

cnf(c_0_316,plain,
    ( ~ g_true_only(X1,X2)
    | ~ g_both(X1,X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_311]) ).

cnf(c_0_317,negated_conjecture,
    ( g_true_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),X1)
    | g_false_only(esk4_1(X1),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_306])]) ).

cnf(c_0_318,negated_conjecture,
    ( g_both(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
    | g_false_only(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ g_both(esk4_1(X1),esk3_0)
    | g_true_only(esk4_1(X1),X1)
    | g_false_only(esk4_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_289]) ).

cnf(c_0_320,negated_conjecture,
    ~ g_false_only(esk4_1(esk2_1(esk3_0)),esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_318]),c_0_21]) ).

cnf(c_0_321,negated_conjecture,
    ( ~ g_both(esk4_1(esk2_1(X1)),X1)
    | ~ g_both(esk4_1(esk2_1(X1)),esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_319]),c_0_198]) ).

cnf(c_0_322,negated_conjecture,
    g_both(esk4_1(esk2_1(esk3_0)),esk3_0),
    inference(sr,[status(thm)],[c_0_314,c_0_320]) ).

cnf(c_0_323,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_322])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO605+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35  % Computer : n011.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 12:03:41 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  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
% 11.59/2.12  % Version: 3.5.1
% 11.59/2.12  % Preprocessing class: FSMSSMSSSSSNFFN.
% 11.59/2.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.59/2.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.59/2.12  % Starting new_bool_3 with 300s (1) cores
% 11.59/2.12  % Starting new_bool_1 with 300s (1) cores
% 11.59/2.12  % Starting sh5l with 300s (1) cores
% 11.59/2.12  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1849090 completed with status 0
% 11.59/2.12  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 11.59/2.12  % Preprocessing class: FSMSSMSSSSSNFFN.
% 11.59/2.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.59/2.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.59/2.12  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.59/2.12  % No SInE strategy applied
% 11.59/2.12  % Search class: FGHNF-FSLF21-SFFFFFNN
% 11.59/2.12  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 11.59/2.12  % Starting SubtermCWHack with 136s (1) cores
% 11.59/2.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 11.59/2.12  % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 136s (1) cores
% 11.59/2.13  % Starting new_bool_3 with 136s (1) cores
% 11.59/2.13  % Starting new_bool_1 with 136s (1) cores
% 11.59/2.13  % SubtermCWHack with pid 1849094 completed with status 0
% 11.59/2.13  % Result found by SubtermCWHack
% 11.59/2.13  % Preprocessing class: FSMSSMSSSSSNFFN.
% 11.59/2.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.59/2.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.59/2.13  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.59/2.13  % No SInE strategy applied
% 11.59/2.13  % Search class: FGHNF-FSLF21-SFFFFFNN
% 11.59/2.13  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 11.59/2.13  % Starting SubtermCWHack with 136s (1) cores
% 11.59/2.13  % Preprocessing time       : 0.001 s
% 11.59/2.13  
% 11.59/2.13  % Proof found!
% 11.59/2.13  % SZS status Theorem
% 11.59/2.13  % SZS output start CNFRefutation
% See solution above
% 11.59/2.13  % Parsed axioms                        : 5
% 11.59/2.13  % Removed by relevancy pruning/SinE    : 0
% 11.59/2.13  % Initial clauses                      : 94
% 11.59/2.13  % Removed in clause preprocessing      : 0
% 11.59/2.13  % Initial clauses in saturation        : 94
% 11.59/2.13  % Processed clauses                    : 11204
% 11.59/2.13  % ...of these trivial                  : 16
% 11.59/2.13  % ...subsumed                          : 5693
% 11.59/2.13  % ...remaining for further processing  : 5495
% 11.59/2.13  % Other redundant clauses eliminated   : 0
% 11.59/2.13  % Clauses deleted for lack of memory   : 0
% 11.59/2.13  % Backward-subsumed                    : 2724
% 11.59/2.13  % Backward-rewritten                   : 2552
% 11.59/2.13  % Generated clauses                    : 44542
% 11.59/2.13  % ...of the previous two non-redundant : 43787
% 11.59/2.13  % ...aggressively subsumed             : 0
% 11.59/2.13  % Contextual simplify-reflections      : 702
% 11.59/2.13  % Paramodulations                      : 44354
% 11.59/2.13  % Factorizations                       : 182
% 11.59/2.13  % NegExts                              : 0
% 11.59/2.13  % Equation resolutions                 : 0
% 11.59/2.13  % Disequality decompositions           : 0
% 11.59/2.13  % Total rewrite steps                  : 4790
% 11.59/2.13  % ...of those cached                   : 4768
% 11.59/2.13  % Propositional unsat checks           : 0
% 11.59/2.13  %    Propositional check models        : 0
% 11.59/2.13  %    Propositional check unsatisfiable : 0
% 11.59/2.13  %    Propositional clauses             : 0
% 11.59/2.13  %    Propositional clauses after purity: 0
% 11.59/2.13  %    Propositional unsat core size     : 0
% 11.59/2.13  %    Propositional preprocessing time  : 0.000
% 11.59/2.13  %    Propositional encoding time       : 0.000
% 11.59/2.13  %    Propositional solver time         : 0.000
% 11.59/2.13  %    Success case prop preproc time    : 0.000
% 11.59/2.13  %    Success case prop encoding time   : 0.000
% 11.59/2.13  %    Success case prop solver time     : 0.000
% 11.59/2.13  % Current number of processed clauses  : 213
% 11.59/2.13  %    Positive orientable unit clauses  : 23
% 11.59/2.13  %    Positive unorientable unit clauses: 0
% 11.59/2.13  %    Negative unit clauses             : 34
% 11.59/2.13  %    Non-unit-clauses                  : 156
% 11.59/2.13  % Current number of unprocessed clauses: 15420
% 11.59/2.13  % ...number of literals in the above   : 147331
% 11.59/2.13  % Current number of archived formulas  : 0
% 11.59/2.13  % Current number of archived clauses   : 5282
% 11.59/2.13  % Clause-clause subsumption calls (NU) : 3730088
% 11.59/2.13  % Rec. Clause-clause subsumption calls : 199577
% 11.59/2.13  % Non-unit clause-clause subsumptions  : 9094
% 11.59/2.13  % Unit Clause-clause subsumption calls : 15135
% 11.59/2.13  % Rewrite failures with RHS unbound    : 0
% 11.59/2.13  % BW rewrite match attempts            : 212
% 11.59/2.13  % BW rewrite match successes           : 13
% 11.59/2.13  % Condensation attempts                : 0
% 11.59/2.13  % Condensation successes               : 0
% 11.59/2.13  % Termbank termtop insertions          : 2105070
% 11.59/2.13  % Search garbage collected termcells   : 951
% 11.59/2.13  
% 11.59/2.13  % -------------------------------------------------
% 11.59/2.13  % User time                : 1.645 s
% 11.59/2.13  % System time              : 0.027 s
% 11.59/2.13  % Total time               : 1.672 s
% 11.59/2.13  % Maximum resident set size: 3640 pages
% 11.59/2.13  
% 11.59/2.13  % -------------------------------------------------
% 11.59/2.13  % User time                : 7.116 s
% 11.59/2.13  % System time              : 0.162 s
% 11.59/2.13  % Total time               : 7.278 s
% 11.59/2.13  % Maximum resident set size: 4608 pages
% 11.59/2.13  % E exiting
%------------------------------------------------------------------------------