TSTP Solution File: SYN917+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 06:06:00 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ( ( ( ! [X1] :
            ( ( ( f(X1)
                & g(X1) )
             => h(X1) )
           => ? [X2] :
                ( f(X2)
                & ~ g(X2) ) )
        & ( ! [X3] :
              ( f(X3)
             => g(X3) )
          | ! [X4] :
              ( f(X4)
             => h(X4) ) ) )
     => ( ! [X5] :
            ( ( f(X5)
              & h(X5) )
           => g(X5) )
       => ? [X6] :
            ( f(X6)
            & g(X6)
            & ~ h(X6) ) ) )
    & ( ( ! [X1,X2] :
            ( r(X1,X2)
           => r(X2,X1) )
        & ! [X1,X2,X4] :
            ( ( r(X1,X2)
              & r(X2,X4) )
           => r(X1,X4) ) )
     => ! [X1,X2] :
          ( r(X1,X2)
         => r(X1,X1) ) )
    & ( ( ( ! [X1] :
              ( ( f(X1)
                & g(X1) )
             => h(X1) )
         => ? [X1] :
              ( f(X1)
              & ~ g(X1) ) )
        & ( ! [X3] :
              ( f(X3)
             => g(X3) )
          | ! [X4] :
              ( f(X4)
             => h(X4) ) ) )
     => ( ! [X5] :
            ( ( f(X5)
              & h(X5) )
           => g(X5) )
       => ? [X6] :
            ( f(X6)
            & g(X6)
            & ~ h(X6) ) ) )
    & ? [X1] :
      ! [X2] :
        ( ( p(X2)
         => q(X1) )
       => ( p(X1)
         => q(X1) ) )
    & ( ! [X1] :
          ( p(X1)
          & q(X1) )
    <=> ( ! [X1] : p(X1)
        & ! [X1] : q(X1) ) )
    & ( ( ! [X1] : p(X1)
        | ! [X1] : q(X1) )
     => ! [X1] :
          ( p(X1)
          | q(X1) ) )
    & ( ? [X1] :
          ( p(X1)
          | q(X1) )
    <=> ( ? [X1] : p(X1)
        | ? [X1] : q(X1) ) )
    & ? [X2] :
        ( p(X2)
       => ! [X1] : p(X1) )
    & ( ? [X1] :
          ( p(X1)
          & q(X1) )
     => ( ? [X1] : p(X1)
        & ? [X1] : q(X1) ) )
    & ! [X2] :
        ( ! [X1] : p(X1)
       => p(X2) )
    & ( ! [X1] : p(X1)
     => ? [X1] : p(X1) )
    & ( ~ ? [X2] : p(X2)
     => ! [X2] :
          ( ? [X1] : p(X1)
         => p(X2) ) )
    & ( ! [X1] :
          ( p(X1)
          | c )
    <=> ( ! [X1] : p(X1)
        | c ) )
    & ( ? [X1] :
          ( p(X1)
          & c )
    <=> ( ? [X1] : p(X1)
        & c ) )
    & ( ? [X1] : c
    <=> c )
    & ( ! [X1] : c
    <=> c )
    & ( ? [X1] :
          ( c
         => p(X1) )
    <=> ( c
       => ? [X1] : p(X1) ) )
    & ( ? [X1] :
          ( p(X1)
         => c )
    <=> ( ! [X1] : p(X1)
       => c ) )
    & ( ! [X1] :
          ( c
         => p(X1) )
    <=> ( c
       => ! [X1] : p(X1) ) )
    & ( ! [X1] :
          ( p(X1)
         => c )
    <=> ( ? [X1] : p(X1)
       => c ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_this) ).

fof(c_0_1,plain,
    ( epred1_0
  <=> ( ( ( ! [X1] :
              ( ( ( f(X1)
                  & g(X1) )
               => h(X1) )
             => ? [X2] :
                  ( f(X2)
                  & ~ g(X2) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ( ( ! [X1,X2] :
              ( r(X1,X2)
             => r(X2,X1) )
          & ! [X1,X2,X4] :
              ( ( r(X1,X2)
                & r(X2,X4) )
             => r(X1,X4) ) )
       => ! [X1,X2] :
            ( r(X1,X2)
           => r(X1,X1) ) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( ( ( ( ! [X1] :
              ( ( ( f(X1)
                  & g(X1) )
               => h(X1) )
             => ? [X2] :
                  ( f(X2)
                  & ~ g(X2) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ( ( ! [X1,X2] :
              ( r(X1,X2)
             => r(X2,X1) )
          & ! [X1,X2,X4] :
              ( ( r(X1,X2)
                & r(X2,X4) )
             => r(X1,X4) ) )
       => ! [X1,X2] :
            ( r(X1,X2)
           => r(X1,X1) ) ) )
   => epred1_0 ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,plain,
    ! [X7,X7,X7,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ( ~ r(X13,X14)
        | r(X14,X13)
        | f(esk5_0)
        | f(X7)
        | epred1_0 )
      & ( ~ r(X15,X16)
        | ~ r(X16,X17)
        | r(X15,X17)
        | f(esk5_0)
        | f(X7)
        | epred1_0 )
      & ( r(esk6_0,esk7_0)
        | f(esk5_0)
        | f(X7)
        | epred1_0 )
      & ( ~ r(esk6_0,esk6_0)
        | f(esk5_0)
        | f(X7)
        | epred1_0 )
      & ( ~ r(X13,X14)
        | r(X14,X13)
        | ~ g(esk5_0)
        | f(X7)
        | epred1_0 )
      & ( ~ r(X15,X16)
        | ~ r(X16,X17)
        | r(X15,X17)
        | ~ g(esk5_0)
        | f(X7)
        | epred1_0 )
      & ( r(esk6_0,esk7_0)
        | ~ g(esk5_0)
        | f(X7)
        | epred1_0 )
      & ( ~ r(esk6_0,esk6_0)
        | ~ g(esk5_0)
        | f(X7)
        | epred1_0 )
      & ( ~ r(X13,X14)
        | r(X14,X13)
        | f(esk5_0)
        | g(X7)
        | epred1_0 )
      & ( ~ r(X15,X16)
        | ~ r(X16,X17)
        | r(X15,X17)
        | f(esk5_0)
        | g(X7)
        | epred1_0 )
      & ( r(esk6_0,esk7_0)
        | f(esk5_0)
        | g(X7)
        | epred1_0 )
      & ( ~ r(esk6_0,esk6_0)
        | f(esk5_0)
        | g(X7)
        | epred1_0 )
      & ( ~ r(X13,X14)
        | r(X14,X13)
        | ~ g(esk5_0)
        | g(X7)
        | epred1_0 )
      & ( ~ r(X15,X16)
        | ~ r(X16,X17)
        | r(X15,X17)
        | ~ g(esk5_0)
        | g(X7)
        | epred1_0 )
      & ( r(esk6_0,esk7_0)
        | ~ g(esk5_0)
        | g(X7)
        | epred1_0 )
      & ( ~ r(esk6_0,esk6_0)
        | ~ g(esk5_0)
        | g(X7)
        | epred1_0 )
      & ( ~ r(X13,X14)
        | r(X14,X13)
        | f(esk5_0)
        | ~ h(X7)
        | epred1_0 )
      & ( ~ r(X15,X16)
        | ~ r(X16,X17)
        | r(X15,X17)
        | f(esk5_0)
        | ~ h(X7)
        | epred1_0 )
      & ( r(esk6_0,esk7_0)
        | f(esk5_0)
        | ~ h(X7)
        | epred1_0 )
      & ( ~ r(esk6_0,esk6_0)
        | f(esk5_0)
        | ~ h(X7)
        | epred1_0 )
      & ( ~ r(X13,X14)
        | r(X14,X13)
        | ~ g(esk5_0)
        | ~ h(X7)
        | epred1_0 )
      & ( ~ r(X15,X16)
        | ~ r(X16,X17)
        | r(X15,X17)
        | ~ g(esk5_0)
        | ~ h(X7)
        | epred1_0 )
      & ( r(esk6_0,esk7_0)
        | ~ g(esk5_0)
        | ~ h(X7)
        | epred1_0 )
      & ( ~ r(esk6_0,esk6_0)
        | ~ g(esk5_0)
        | ~ h(X7)
        | epred1_0 )
      & ( ~ r(X13,X14)
        | r(X14,X13)
        | ~ f(X9)
        | g(X9)
        | ~ f(X10)
        | h(X10)
        | epred1_0 )
      & ( ~ r(X15,X16)
        | ~ r(X16,X17)
        | r(X15,X17)
        | ~ f(X9)
        | g(X9)
        | ~ f(X10)
        | h(X10)
        | epred1_0 )
      & ( r(esk6_0,esk7_0)
        | ~ f(X9)
        | g(X9)
        | ~ f(X10)
        | h(X10)
        | epred1_0 )
      & ( ~ r(esk6_0,esk6_0)
        | ~ f(X9)
        | g(X9)
        | ~ f(X10)
        | h(X10)
        | epred1_0 )
      & ( ~ r(X13,X14)
        | r(X14,X13)
        | ~ f(X11)
        | ~ h(X11)
        | g(X11)
        | epred1_0 )
      & ( ~ r(X15,X16)
        | ~ r(X16,X17)
        | r(X15,X17)
        | ~ f(X11)
        | ~ h(X11)
        | g(X11)
        | epred1_0 )
      & ( r(esk6_0,esk7_0)
        | ~ f(X11)
        | ~ h(X11)
        | g(X11)
        | epred1_0 )
      & ( ~ r(esk6_0,esk6_0)
        | ~ f(X11)
        | ~ h(X11)
        | g(X11)
        | epred1_0 )
      & ( ~ r(X13,X14)
        | r(X14,X13)
        | ~ f(X12)
        | ~ g(X12)
        | h(X12)
        | epred1_0 )
      & ( ~ r(X15,X16)
        | ~ r(X16,X17)
        | r(X15,X17)
        | ~ f(X12)
        | ~ g(X12)
        | h(X12)
        | epred1_0 )
      & ( r(esk6_0,esk7_0)
        | ~ f(X12)
        | ~ g(X12)
        | h(X12)
        | epred1_0 )
      & ( ~ r(esk6_0,esk6_0)
        | ~ f(X12)
        | ~ g(X12)
        | h(X12)
        | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])])])]) ).

cnf(c_0_4,plain,
    ( epred1_0
    | r(esk6_0,esk7_0)
    | ~ h(X1)
    | ~ g(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,plain,
    ( epred1_0
    | h(X1)
    | r(esk6_0,esk7_0)
    | ~ g(X1)
    | ~ f(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( epred1_0
    | f(X1)
    | r(esk6_0,esk7_0)
    | ~ g(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,plain,
    ( epred1_0
    | g(X1)
    | r(esk6_0,esk7_0)
    | ~ g(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,plain,
    ( epred1_0
    | r(esk6_0,esk7_0)
    | ~ g(esk5_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).

cnf(c_0_9,plain,
    ( epred1_0
    | g(X1)
    | f(esk5_0)
    | r(esk6_0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,plain,
    ( epred1_0
    | f(X1)
    | f(esk5_0)
    | r(X2,X3)
    | ~ r(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,plain,
    ( epred1_0
    | r(esk6_0,esk7_0)
    | f(esk5_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    ( epred1_0
    | g(X1)
    | f(esk5_0)
    | r(X2,X3)
    | ~ r(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_13,plain,
    ( epred1_0
    | f(esk5_0)
    | r(X2,X3)
    | ~ h(X1)
    | ~ r(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,plain,
    ( epred1_0
    | h(X1)
    | r(X2,X3)
    | ~ g(X1)
    | ~ f(X1)
    | ~ r(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_15,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | f(esk5_0)
    | f(X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | g(X1)
    | f(esk5_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_11]) ).

cnf(c_0_17,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | f(esk5_0)
    | ~ h(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_11]) ).

cnf(c_0_18,plain,
    ( epred1_0
    | ~ h(X1)
    | ~ g(esk5_0)
    | ~ r(esk6_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_19,plain,
    ( epred1_0
    | h(X1)
    | ~ g(X1)
    | ~ f(X1)
    | ~ r(esk6_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_20,plain,
    ( epred1_0
    | f(X1)
    | ~ g(esk5_0)
    | ~ r(esk6_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_21,plain,
    ( epred1_0
    | g(X1)
    | ~ g(esk5_0)
    | ~ r(esk6_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_22,plain,
    ( epred1_0
    | f(X1)
    | f(esk5_0)
    | r(X2,X3)
    | ~ r(X4,X3)
    | ~ r(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_23,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | f(esk5_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_24,plain,
    ( epred1_0
    | ~ r(esk6_0,esk6_0)
    | ~ g(esk5_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).

cnf(c_0_25,plain,
    ( epred1_0
    | g(X1)
    | f(esk5_0)
    | ~ r(esk6_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_26,plain,
    ( epred1_0
    | r(X1,esk6_0)
    | f(esk5_0)
    | f(X2)
    | ~ r(X1,esk7_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,plain,
    ( epred1_0
    | f(esk5_0)
    | ~ r(esk6_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,plain,
    ( epred1_0
    | f(esk5_0)
    | f(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_11]),c_0_27]) ).

cnf(c_0_29,plain,
    ( epred1_0
    | h(X1)
    | g(X2)
    | r(esk6_0,esk7_0)
    | ~ f(X1)
    | ~ f(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_30,plain,
    ( epred1_0
    | f(esk5_0) ),
    inference(ef,[status(thm)],[c_0_28]) ).

cnf(c_0_31,plain,
    ( epred1_0
    | g(X1)
    | r(esk6_0,esk7_0)
    | ~ h(X1)
    | ~ f(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_32,plain,
    ( epred1_0
    | r(esk6_0,esk7_0)
    | h(X1)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_8]) ).

cnf(c_0_33,plain,
    ( epred1_0
    | r(esk6_0,esk7_0)
    | g(X1)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_34,plain,
    ( epred1_0
    | h(X1)
    | g(X2)
    | r(X3,X4)
    | ~ f(X1)
    | ~ f(X2)
    | ~ r(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_35,plain,
    ( epred1_0
    | r(esk6_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_33]),c_0_30]) ).

cnf(c_0_36,plain,
    ( epred1_0
    | g(X1)
    | r(X2,X3)
    | ~ h(X1)
    | ~ f(X1)
    | ~ r(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_37,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | h(X1)
    | g(X2)
    | ~ f(X2)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    ( epred1_0
    | r(X2,X3)
    | ~ h(X1)
    | ~ g(esk5_0)
    | ~ r(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_39,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | g(X1)
    | ~ h(X1)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_35]) ).

cnf(c_0_40,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | h(X1)
    | g(esk5_0)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_30]) ).

cnf(c_0_41,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | ~ h(X1)
    | ~ g(esk5_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_35]) ).

cnf(c_0_42,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | h(X1)
    | ~ g(X1)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_35]) ).

cnf(c_0_43,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | g(esk5_0)
    | g(X1)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | ~ g(esk5_0)
    | ~ g(X1)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | g(esk5_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_30]) ).

cnf(c_0_46,plain,
    ( epred1_0
    | r(esk7_0,esk6_0)
    | ~ g(X1)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_47,plain,
    ( epred1_0
    | h(X1)
    | g(X2)
    | r(X3,X4)
    | ~ f(X1)
    | ~ f(X2)
    | ~ r(X5,X4)
    | ~ r(X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_48,plain,
    ( epred1_0
    | r(esk7_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_30]) ).

cnf(c_0_49,plain,
    ( epred1_0
    | r(X1,esk6_0)
    | h(X2)
    | g(X3)
    | ~ r(X1,esk7_0)
    | ~ f(X3)
    | ~ f(X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,plain,
    ( epred1_0
    | h(X1)
    | g(X2)
    | ~ f(X1)
    | ~ f(X2)
    | ~ r(esk6_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_51,plain,
    ( epred1_0
    | h(X1)
    | g(X2)
    | ~ f(X2)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_50]) ).

cnf(c_0_52,plain,
    ( epred1_0
    | g(X1)
    | r(X2,X3)
    | ~ h(X1)
    | ~ f(X1)
    | ~ r(X4,X3)
    | ~ r(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_53,plain,
    ( epred1_0
    | g(X1)
    | ~ h(X1)
    | ~ f(X1)
    | ~ r(esk6_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_54,plain,
    ( epred1_0
    | h(X1)
    | g(esk5_0)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_30]) ).

cnf(c_0_55,plain,
    ( epred1_0
    | h(X1)
    | r(X2,X3)
    | ~ g(X1)
    | ~ f(X1)
    | ~ r(X4,X3)
    | ~ r(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_56,plain,
    ( epred1_0
    | r(X1,esk6_0)
    | g(X2)
    | ~ r(X1,esk7_0)
    | ~ h(X2)
    | ~ f(X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_48]) ).

cnf(c_0_57,plain,
    ( epred1_0
    | g(X1)
    | ~ r(esk6_0,esk6_0)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_24]) ).

cnf(c_0_58,plain,
    ( epred1_0
    | r(X2,X3)
    | ~ h(X1)
    | ~ g(esk5_0)
    | ~ r(X4,X3)
    | ~ r(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_59,plain,
    ( epred1_0
    | r(X1,esk6_0)
    | h(X2)
    | ~ r(X1,esk7_0)
    | ~ g(X2)
    | ~ f(X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_48]) ).

cnf(c_0_60,plain,
    ( epred1_0
    | r(X1,esk6_0)
    | g(esk5_0)
    | g(X2)
    | ~ r(X1,esk7_0)
    | ~ f(X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_54]) ).

cnf(c_0_61,plain,
    ( epred1_0
    | ~ r(esk6_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_57]),c_0_30]) ).

fof(c_0_62,plain,
    ( epred2_0
  <=> ( ( ( ! [X1] :
              ( ( ( f(X1)
                  & g(X1) )
               => h(X1) )
             => ? [X2] :
                  ( f(X2)
                  & ~ g(X2) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ( ( ! [X1,X2] :
              ( r(X1,X2)
             => r(X2,X1) )
          & ! [X1,X2,X4] :
              ( ( r(X1,X2)
                & r(X2,X4) )
             => r(X1,X4) ) )
       => ! [X1,X2] :
            ( r(X1,X2)
           => r(X1,X1) ) )
      & ( ( ( ! [X1] :
                ( ( f(X1)
                  & g(X1) )
               => h(X1) )
           => ? [X1] :
                ( f(X1)
                & ~ g(X1) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ? [X1] :
        ! [X2] :
          ( ( p(X2)
           => q(X1) )
         => ( p(X1)
           => q(X1) ) ) ) ),
    introduced(definition) ).

cnf(c_0_63,plain,
    ( epred1_0
    | r(X1,esk6_0)
    | ~ r(X1,esk7_0)
    | ~ h(X2)
    | ~ g(esk5_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_48]) ).

cnf(c_0_64,plain,
    ( epred1_0
    | h(X1)
    | ~ g(X1)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_35]),c_0_19]) ).

cnf(c_0_65,plain,
    ( epred1_0
    | g(esk5_0)
    | g(X1)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_35]),c_0_61]) ).

fof(c_0_66,plain,
    ( ( epred1_0
      & ( ( ( ! [X1] :
                ( ( f(X1)
                  & g(X1) )
               => h(X1) )
           => ? [X1] :
                ( f(X1)
                & ~ g(X1) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ? [X1] :
        ! [X2] :
          ( ( p(X2)
           => q(X1) )
         => ( p(X1)
           => q(X1) ) ) )
   => epred2_0 ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_62]),c_0_1]) ).

cnf(c_0_67,plain,
    ( epred1_0
    | r(X1,esk6_0)
    | ~ r(X1,esk7_0)
    | ~ g(esk5_0)
    | ~ g(X2)
    | ~ f(X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,plain,
    ( epred1_0
    | g(esk5_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_30]) ).

fof(c_0_69,plain,
    ! [X9,X10,X11,X12,X13,X13,X13] :
      ( ( ~ p(esk10_0)
        | q(X13)
        | f(esk9_0)
        | f(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( p(X13)
        | f(esk9_0)
        | f(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ q(X13)
        | f(esk9_0)
        | f(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ p(esk10_0)
        | q(X13)
        | ~ g(esk9_0)
        | f(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( p(X13)
        | ~ g(esk9_0)
        | f(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ q(X13)
        | ~ g(esk9_0)
        | f(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ p(esk10_0)
        | q(X13)
        | f(esk9_0)
        | g(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( p(X13)
        | f(esk9_0)
        | g(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ q(X13)
        | f(esk9_0)
        | g(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ p(esk10_0)
        | q(X13)
        | ~ g(esk9_0)
        | g(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( p(X13)
        | ~ g(esk9_0)
        | g(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ q(X13)
        | ~ g(esk9_0)
        | g(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ p(esk10_0)
        | q(X13)
        | f(esk9_0)
        | ~ h(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( p(X13)
        | f(esk9_0)
        | ~ h(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ q(X13)
        | f(esk9_0)
        | ~ h(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ p(esk10_0)
        | q(X13)
        | ~ g(esk9_0)
        | ~ h(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( p(X13)
        | ~ g(esk9_0)
        | ~ h(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ q(X13)
        | ~ g(esk9_0)
        | ~ h(esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ p(esk10_0)
        | q(X13)
        | ~ f(X9)
        | g(X9)
        | ~ f(X10)
        | h(X10)
        | ~ epred1_0
        | epred2_0 )
      & ( p(X13)
        | ~ f(X9)
        | g(X9)
        | ~ f(X10)
        | h(X10)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ q(X13)
        | ~ f(X9)
        | g(X9)
        | ~ f(X10)
        | h(X10)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ p(esk10_0)
        | q(X13)
        | ~ f(X11)
        | ~ h(X11)
        | g(X11)
        | ~ epred1_0
        | epred2_0 )
      & ( p(X13)
        | ~ f(X11)
        | ~ h(X11)
        | g(X11)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ q(X13)
        | ~ f(X11)
        | ~ h(X11)
        | g(X11)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ p(esk10_0)
        | q(X13)
        | ~ f(X12)
        | ~ g(X12)
        | h(X12)
        | ~ epred1_0
        | epred2_0 )
      & ( p(X13)
        | ~ f(X12)
        | ~ g(X12)
        | h(X12)
        | ~ epred1_0
        | epred2_0 )
      & ( ~ q(X13)
        | ~ f(X12)
        | ~ g(X12)
        | h(X12)
        | ~ epred1_0
        | epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_66])])])])])])])]) ).

cnf(c_0_70,plain,
    ( epred1_0
    | r(X1,esk6_0)
    | ~ r(X1,esk7_0)
    | ~ g(X2)
    | ~ f(X2) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,plain,
    ( epred2_0
    | f(esk9_0)
    | q(X1)
    | ~ epred1_0
    | ~ h(esk8_0)
    | ~ p(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_72,plain,
    ( epred2_0
    | f(esk9_0)
    | p(X1)
    | ~ epred1_0
    | ~ h(esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_73,plain,
    ( epred2_0
    | f(esk9_0)
    | ~ epred1_0
    | ~ h(esk8_0)
    | ~ q(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_74,plain,
    ( epred2_0
    | h(X1)
    | q(X2)
    | ~ epred1_0
    | ~ g(X1)
    | ~ f(X1)
    | ~ p(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_75,plain,
    ( epred2_0
    | h(X1)
    | p(X2)
    | ~ epred1_0
    | ~ g(X1)
    | ~ f(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_76,plain,
    ( epred2_0
    | h(X1)
    | ~ epred1_0
    | ~ g(X1)
    | ~ f(X1)
    | ~ q(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_77,plain,
    ( epred2_0
    | f(esk8_0)
    | f(esk9_0)
    | q(X1)
    | ~ epred1_0
    | ~ p(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_78,plain,
    ( epred2_0
    | f(esk8_0)
    | f(esk9_0)
    | p(X1)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_79,plain,
    ( epred2_0
    | f(esk8_0)
    | f(esk9_0)
    | ~ epred1_0
    | ~ q(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_80,plain,
    ( epred2_0
    | g(esk8_0)
    | f(esk9_0)
    | q(X1)
    | ~ epred1_0
    | ~ p(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_81,plain,
    ( epred2_0
    | g(esk8_0)
    | f(esk9_0)
    | p(X1)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_82,plain,
    ( epred2_0
    | g(esk8_0)
    | f(esk9_0)
    | ~ epred1_0
    | ~ q(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_83,plain,
    ( epred2_0
    | q(X1)
    | ~ epred1_0
    | ~ h(esk8_0)
    | ~ g(esk9_0)
    | ~ p(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_84,plain,
    ( epred2_0
    | p(X1)
    | ~ epred1_0
    | ~ h(esk8_0)
    | ~ g(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_85,plain,
    ( epred2_0
    | ~ epred1_0
    | ~ h(esk8_0)
    | ~ g(esk9_0)
    | ~ q(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_86,plain,
    ( epred2_0
    | f(esk8_0)
    | q(X1)
    | ~ epred1_0
    | ~ g(esk9_0)
    | ~ p(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_87,plain,
    ( epred2_0
    | f(esk8_0)
    | p(X1)
    | ~ epred1_0
    | ~ g(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_88,plain,
    ( epred2_0
    | f(esk8_0)
    | ~ epred1_0
    | ~ g(esk9_0)
    | ~ q(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_89,plain,
    ( epred2_0
    | g(esk8_0)
    | q(X1)
    | ~ epred1_0
    | ~ g(esk9_0)
    | ~ p(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_90,plain,
    ( epred2_0
    | g(esk8_0)
    | p(X1)
    | ~ epred1_0
    | ~ g(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_91,plain,
    ( epred2_0
    | g(esk8_0)
    | ~ epred1_0
    | ~ g(esk9_0)
    | ~ q(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_92,plain,
    ( epred2_0
    | h(X1)
    | g(X2)
    | q(X3)
    | ~ epred1_0
    | ~ f(X1)
    | ~ f(X2)
    | ~ p(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_93,plain,
    ( epred2_0
    | h(X1)
    | g(X2)
    | p(X3)
    | ~ epred1_0
    | ~ f(X1)
    | ~ f(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_94,plain,
    ( epred2_0
    | h(X1)
    | g(X2)
    | ~ epred1_0
    | ~ f(X1)
    | ~ f(X2)
    | ~ q(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_95,plain,
    ( epred1_0
    | r(X1,esk6_0)
    | ~ r(X1,esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_68]),c_0_30]) ).

cnf(c_0_96,plain,
    ( epred2_0
    | f(esk9_0)
    | ~ epred1_0
    | ~ h(esk8_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).

cnf(c_0_97,plain,
    ( epred2_0
    | h(X1)
    | ~ epred1_0
    | ~ g(X1)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).

cnf(c_0_98,plain,
    ( epred2_0
    | f(esk9_0)
    | f(esk8_0)
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).

cnf(c_0_99,plain,
    ( epred2_0
    | g(esk8_0)
    | f(esk9_0)
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).

cnf(c_0_100,plain,
    ( epred2_0
    | ~ epred1_0
    | ~ h(esk8_0)
    | ~ g(esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).

cnf(c_0_101,plain,
    ( epred2_0
    | f(esk8_0)
    | ~ epred1_0
    | ~ g(esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).

cnf(c_0_102,plain,
    ( epred2_0
    | g(esk8_0)
    | ~ epred1_0
    | ~ g(esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).

cnf(c_0_103,plain,
    ( epred2_0
    | h(X1)
    | g(X2)
    | ~ epred1_0
    | ~ f(X2)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).

cnf(c_0_104,plain,
    epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_95]),c_0_35]) ).

cnf(c_0_105,plain,
    ( epred2_0
    | f(esk9_0)
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_99]) ).

cnf(c_0_106,plain,
    ( epred2_0
    | ~ epred1_0
    | ~ g(esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_97]),c_0_101]),c_0_102]) ).

fof(c_0_107,plain,
    ( epred3_0
  <=> ( ( ( ! [X1] :
              ( ( ( f(X1)
                  & g(X1) )
               => h(X1) )
             => ? [X2] :
                  ( f(X2)
                  & ~ g(X2) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ( ( ! [X1,X2] :
              ( r(X1,X2)
             => r(X2,X1) )
          & ! [X1,X2,X4] :
              ( ( r(X1,X2)
                & r(X2,X4) )
             => r(X1,X4) ) )
       => ! [X1,X2] :
            ( r(X1,X2)
           => r(X1,X1) ) )
      & ( ( ( ! [X1] :
                ( ( f(X1)
                  & g(X1) )
               => h(X1) )
           => ? [X1] :
                ( f(X1)
                & ~ g(X1) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ? [X1] :
        ! [X2] :
          ( ( p(X2)
           => q(X1) )
         => ( p(X1)
           => q(X1) ) )
      & ( ! [X1] :
            ( p(X1)
            & q(X1) )
      <=> ( ! [X1] : p(X1)
          & ! [X1] : q(X1) ) )
      & ( ( ! [X1] : p(X1)
          | ! [X1] : q(X1) )
       => ! [X1] :
            ( p(X1)
            | q(X1) ) )
      & ( ? [X1] :
            ( p(X1)
            | q(X1) )
      <=> ( ? [X1] : p(X1)
          | ? [X1] : q(X1) ) ) ) ),
    introduced(definition) ).

cnf(c_0_108,plain,
    ( epred2_0
    | g(X1)
    | q(X2)
    | ~ epred1_0
    | ~ h(X1)
    | ~ f(X1)
    | ~ p(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_109,plain,
    ( epred2_0
    | g(X1)
    | p(X2)
    | ~ epred1_0
    | ~ h(X1)
    | ~ f(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_110,plain,
    ( epred2_0
    | g(X1)
    | ~ epred1_0
    | ~ h(X1)
    | ~ f(X1)
    | ~ q(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_111,plain,
    ( epred2_0
    | h(X1)
    | g(X2)
    | ~ f(X2)
    | ~ f(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104])]) ).

cnf(c_0_112,plain,
    ( epred2_0
    | f(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_104])]) ).

cnf(c_0_113,plain,
    ( epred2_0
    | ~ g(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_104])]) ).

fof(c_0_114,plain,
    ( ( epred2_0
      & ( ! [X1] :
            ( p(X1)
            & q(X1) )
      <=> ( ! [X1] : p(X1)
          & ! [X1] : q(X1) ) )
      & ( ( ! [X1] : p(X1)
          | ! [X1] : q(X1) )
       => ! [X1] :
            ( p(X1)
            | q(X1) ) )
      & ( ? [X1] :
            ( p(X1)
            | q(X1) )
      <=> ( ? [X1] : p(X1)
          | ? [X1] : q(X1) ) ) )
   => epred3_0 ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_107]),c_0_62]) ).

cnf(c_0_115,plain,
    ( epred2_0
    | g(X1)
    | ~ epred1_0
    | ~ h(X1)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).

cnf(c_0_116,plain,
    ( epred2_0
    | h(X1)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).

fof(c_0_117,plain,
    ! [X5,X5,X6,X7,X8,X9,X11,X11,X12,X13] :
      ( ( ~ p(X12)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | p(X8)
        | q(X9)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ p(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ p(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ p(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ p(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ q(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ q(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ q(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ q(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ q(esk15_0)
        | ~ p(esk11_0)
        | ~ q(esk12_0)
        | ~ p(esk13_0)
        | ~ q(esk14_0)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | p(X8)
        | q(X9)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ p(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ p(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ p(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ p(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ q(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ q(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ q(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ q(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ q(esk15_0)
        | p(X6)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | p(X8)
        | q(X9)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ p(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ p(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ p(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ p(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ q(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ q(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ q(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ q(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ q(esk15_0)
        | q(X7)
        | p(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | p(X8)
        | q(X9)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ p(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ p(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ p(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ p(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ q(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ q(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ q(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ q(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ q(esk15_0)
        | p(X6)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | p(X8)
        | q(X9)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | p(X8)
        | q(X9)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | p(X8)
        | q(X9)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ p(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ p(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ p(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ p(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ q(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ p(X11)
        | ~ q(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ p(X12)
        | ~ q(X11)
        | ~ q(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( ~ q(X13)
        | ~ q(X11)
        | ~ q(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 )
      & ( p(esk16_0)
        | q(esk17_0)
        | p(esk18_0)
        | q(esk19_0)
        | ~ q(esk15_0)
        | q(X7)
        | q(X5)
        | ~ epred2_0
        | epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])])])])])])]) ).

cnf(c_0_118,plain,
    ( epred2_0
    | g(X1)
    | ~ f(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_104])]),c_0_116]) ).

cnf(c_0_119,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | q(X3)
    | p(X4)
    | q(esk19_0)
    | p(esk18_0)
    | q(esk17_0)
    | p(esk16_0)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_120,plain,
    epred2_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_118]),c_0_112]) ).

cnf(c_0_121,plain,
    ( epred3_0
    | q(esk17_0)
    | q(esk19_0)
    | q(X1)
    | p(esk16_0)
    | p(esk18_0)
    | p(X2)
    | p(X3)
    | p(X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]) ).

cnf(c_0_122,plain,
    ( epred3_0
    | q(esk19_0)
    | q(esk17_0)
    | p(esk18_0)
    | p(esk16_0)
    | p(X1)
    | p(X2)
    | p(X3) ),
    inference(ef,[status(thm)],[c_0_121]) ).

cnf(c_0_123,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ epred2_0
    | ~ p(esk15_0)
    | ~ q(X3)
    | ~ p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_124,plain,
    ( epred3_0
    | q(esk17_0)
    | q(esk19_0)
    | p(esk16_0)
    | p(esk18_0)
    | p(X1)
    | p(X2) ),
    inference(ef,[status(thm)],[c_0_122]) ).

cnf(c_0_125,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ epred2_0
    | ~ p(esk15_0)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_126,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ epred2_0
    | ~ p(esk15_0)
    | ~ q(X3)
    | ~ q(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_127,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ q(X3)
    | ~ p(esk15_0)
    | ~ p(X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_120])]) ).

cnf(c_0_128,plain,
    ( epred3_0
    | q(esk19_0)
    | q(esk17_0)
    | p(esk18_0)
    | p(esk16_0)
    | p(X1) ),
    inference(ef,[status(thm)],[c_0_124]) ).

cnf(c_0_129,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ p(esk15_0)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_120])]) ).

cnf(c_0_130,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ q(X3)
    | ~ q(X4)
    | ~ p(esk15_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_120])]) ).

cnf(c_0_131,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ p(esk15_0)
    | ~ p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_129]),c_0_129]),c_0_127]) ).

cnf(c_0_132,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | ~ epred2_0
    | ~ p(esk15_0)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_133,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ q(X3)
    | ~ p(esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_128]),c_0_131]),c_0_131]),c_0_131]),c_0_130]) ).

cnf(c_0_134,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | ~ p(esk15_0)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_120])]) ).

cnf(c_0_135,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ p(esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_128]),c_0_131]),c_0_131]),c_0_131]),c_0_133]) ).

cnf(c_0_136,plain,
    ( epred3_0
    | q(esk17_0)
    | q(esk19_0)
    | q(X1)
    | q(X2)
    | p(esk16_0)
    | p(esk18_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_128]),c_0_135]),c_0_128]) ).

cnf(c_0_137,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | q(X3)
    | p(X4)
    | ~ epred2_0
    | ~ q(X5)
    | ~ p(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_138,plain,
    ( epred3_0
    | q(esk19_0)
    | q(esk17_0)
    | q(X1)
    | p(esk18_0)
    | p(esk16_0) ),
    inference(ef,[status(thm)],[c_0_136]) ).

cnf(c_0_139,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | q(X3)
    | p(X4)
    | ~ epred2_0
    | ~ p(X5)
    | ~ p(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_140,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | q(X3)
    | p(X4)
    | ~ epred2_0
    | ~ q(X5)
    | ~ q(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_141,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | q(X3)
    | p(X4)
    | ~ epred2_0
    | ~ q(X5)
    | ~ p(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_142,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | q(X3)
    | p(X4)
    | ~ epred2_0
    | ~ q(X5)
    | ~ p(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_143,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | p(X3)
    | p(X4)
    | ~ q(X5)
    | ~ p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_120])]) ).

cnf(c_0_144,plain,
    ( epred3_0
    | q(esk19_0)
    | q(esk17_0)
    | p(esk16_0)
    | p(esk18_0) ),
    inference(ef,[status(thm)],[c_0_138]) ).

cnf(c_0_145,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | p(X3)
    | p(X4)
    | ~ p(X5)
    | ~ p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_120])]) ).

cnf(c_0_146,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | q(X3)
    | p(X4)
    | ~ epred2_0
    | ~ p(X5)
    | ~ p(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_147,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | q(X3)
    | p(X4)
    | ~ q(X5)
    | ~ q(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_120])]) ).

cnf(c_0_148,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | p(X3)
    | p(X4)
    | ~ q(X5)
    | ~ p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_120])]) ).

cnf(c_0_149,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | q(X3)
    | p(X4)
    | ~ q(X5)
    | ~ p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_120])]) ).

cnf(c_0_150,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | p(X3)
    | p(X4)
    | ~ p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_145]),c_0_143]) ).

cnf(c_0_151,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | p(X3)
    | p(X4)
    | ~ p(X5)
    | ~ p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_120])]) ).

cnf(c_0_152,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | q(X3)
    | p(X4)
    | ~ epred2_0
    | ~ q(X5)
    | ~ q(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_153,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | q(X3)
    | p(X4)
    | ~ q(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_144]),c_0_148]),c_0_149]),c_0_147]) ).

cnf(c_0_154,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | p(X3)
    | p(X4)
    | ~ p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_144]),c_0_150]),c_0_151]),c_0_148]) ).

cnf(c_0_155,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | q(X3)
    | p(X4)
    | ~ epred2_0
    | ~ q(X5)
    | ~ q(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_156,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | p(X3)
    | p(X4)
    | ~ q(X5)
    | ~ q(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_120])]) ).

cnf(c_0_157,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | q(X3)
    | p(esk16_0)
    | p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_144]),c_0_154]),c_0_153]) ).

cnf(c_0_158,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | p(X3)
    | p(X4)
    | ~ q(X5)
    | ~ q(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_120])]) ).

cnf(c_0_159,plain,
    ( epred3_0
    | q(esk17_0)
    | q(X1)
    | q(X2)
    | p(X3)
    | p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_144]),c_0_157]),c_0_150]),c_0_154]) ).

cnf(c_0_160,plain,
    ( epred3_0
    | q(esk17_0)
    | q(X1)
    | p(X2)
    | p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_144]),c_0_159]),c_0_150]),c_0_150]),c_0_154]) ).

cnf(c_0_161,plain,
    ( epred3_0
    | q(esk17_0)
    | p(X1)
    | p(X2) ),
    inference(ef,[status(thm)],[c_0_160]) ).

cnf(c_0_162,plain,
    ( epred3_0
    | q(esk17_0)
    | p(X1) ),
    inference(ef,[status(thm)],[c_0_161]) ).

cnf(c_0_163,plain,
    ( epred3_0
    | q(esk17_0)
    | q(X1)
    | q(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_162]),c_0_162]),c_0_162]) ).

cnf(c_0_164,plain,
    ( epred3_0
    | q(esk17_0)
    | q(X1) ),
    inference(ef,[status(thm)],[c_0_163]) ).

fof(c_0_165,plain,
    ( epred4_0
  <=> ( ( ( ! [X1] :
              ( ( ( f(X1)
                  & g(X1) )
               => h(X1) )
             => ? [X2] :
                  ( f(X2)
                  & ~ g(X2) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ( ( ! [X1,X2] :
              ( r(X1,X2)
             => r(X2,X1) )
          & ! [X1,X2,X4] :
              ( ( r(X1,X2)
                & r(X2,X4) )
             => r(X1,X4) ) )
       => ! [X1,X2] :
            ( r(X1,X2)
           => r(X1,X1) ) )
      & ( ( ( ! [X1] :
                ( ( f(X1)
                  & g(X1) )
               => h(X1) )
           => ? [X1] :
                ( f(X1)
                & ~ g(X1) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ? [X1] :
        ! [X2] :
          ( ( p(X2)
           => q(X1) )
         => ( p(X1)
           => q(X1) ) )
      & ( ! [X1] :
            ( p(X1)
            & q(X1) )
      <=> ( ! [X1] : p(X1)
          & ! [X1] : q(X1) ) )
      & ( ( ! [X1] : p(X1)
          | ! [X1] : q(X1) )
       => ! [X1] :
            ( p(X1)
            | q(X1) ) )
      & ( ? [X1] :
            ( p(X1)
            | q(X1) )
      <=> ( ? [X1] : p(X1)
          | ? [X1] : q(X1) ) )
      & ? [X2] :
          ( p(X2)
         => ! [X1] : p(X1) )
      & ( ? [X1] :
            ( p(X1)
            & q(X1) )
       => ( ? [X1] : p(X1)
          & ? [X1] : q(X1) ) )
      & ! [X2] :
          ( ! [X1] : p(X1)
         => p(X2) )
      & ( ! [X1] : p(X1)
       => ? [X1] : p(X1) )
      & ( ~ ? [X2] : p(X2)
       => ! [X2] :
            ( ? [X1] : p(X1)
           => p(X2) ) ) ) ),
    introduced(definition) ).

cnf(c_0_166,plain,
    ( epred3_0
    | q(esk17_0) ),
    inference(ef,[status(thm)],[c_0_164]) ).

fof(c_0_167,plain,
    ( ( epred3_0
      & ? [X2] :
          ( p(X2)
         => ! [X1] : p(X1) )
      & ( ? [X1] :
            ( p(X1)
            & q(X1) )
       => ( ? [X1] : p(X1)
          & ? [X1] : q(X1) ) )
      & ! [X2] :
          ( ! [X1] : p(X1)
         => p(X2) )
      & ( ! [X1] : p(X1)
       => ? [X1] : p(X1) )
      & ( ~ ? [X2] : p(X2)
       => ! [X2] :
            ( ? [X1] : p(X1)
           => p(X2) ) ) )
   => epred4_0 ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_165]),c_0_107]) ).

cnf(c_0_168,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | p(X3)
    | p(X4)
    | ~ q(X5) ),
    inference(spm,[status(thm)],[c_0_158,c_0_166]) ).

fof(c_0_169,plain,
    ! [X3,X6,X7,X9,X10,X11,X12] :
      ( ( ~ p(X12)
        | p(X10)
        | p(X9)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | p(X9)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | p(X9)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X9)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | p(X9)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | p(X9)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | ~ p(esk22_0)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | ~ p(esk22_0)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | ~ p(esk22_0)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk22_0)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | p(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | p(X9)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | p(X9)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | p(X9)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X9)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | p(X9)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | p(X9)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | ~ p(esk22_0)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | ~ p(esk22_0)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | ~ p(esk22_0)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk22_0)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | q(esk21_0)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | p(X3)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | p(X9)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | p(X9)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | p(X9)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X9)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | p(X9)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | p(X9)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | ~ p(esk22_0)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | ~ p(esk22_0)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | ~ p(esk22_0)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk22_0)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | p(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | p(X9)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | p(X9)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | p(X9)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X9)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | p(X9)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | p(X9)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | ~ p(esk22_0)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | ~ p(esk22_0)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | ~ p(esk22_0)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk22_0)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | q(esk21_0)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | p(X9)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | p(X10)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | p(X10)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | p(X10)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(X12)
        | ~ p(X11)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( p(esk23_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 )
      & ( ~ p(esk24_0)
        | ~ p(X11)
        | ~ p(esk22_0)
        | ~ p(X6)
        | ~ q(X7)
        | ~ p(esk20_0)
        | ~ epred3_0
        | epred4_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_167])])])])])])]) ).

cnf(c_0_170,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | p(X3)
    | p(X4) ),
    inference(spm,[status(thm)],[c_0_168,c_0_166]) ).

cnf(c_0_171,plain,
    ( epred4_0
    | p(X1)
    | p(X4)
    | ~ epred3_0
    | ~ q(X2)
    | ~ p(X3)
    | ~ p(X5)
    | ~ p(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_172,plain,
    ( epred4_0
    | p(X1)
    | p(X4)
    | p(X5)
    | ~ epred3_0
    | ~ q(X2)
    | ~ p(X3)
    | ~ p(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_173,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | ~ epred2_0
    | ~ p(esk15_0)
    | ~ q(X3)
    | ~ q(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_174,plain,
    ( epred3_0
    | q(X1)
    | p(X2)
    | p(X3) ),
    inference(ef,[status(thm)],[c_0_170]) ).

cnf(c_0_175,plain,
    ( epred4_0
    | p(X3)
    | ~ epred3_0
    | ~ p(esk20_0)
    | ~ q(X1)
    | ~ p(X2)
    | ~ p(X4)
    | ~ p(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_176,plain,
    ( epred4_0
    | p(X1)
    | p(X2)
    | ~ epred3_0
    | ~ q(X3)
    | ~ p(X4)
    | ~ p(X5) ),
    inference(csr,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_177,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | ~ q(X3)
    | ~ q(X4)
    | ~ p(esk15_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_120])]) ).

cnf(c_0_178,plain,
    ( epred3_0
    | q(X1)
    | p(X2) ),
    inference(ef,[status(thm)],[c_0_174]) ).

cnf(c_0_179,plain,
    ( epred4_0
    | ~ epred3_0
    | ~ p(esk20_0)
    | ~ q(X1)
    | ~ p(X2)
    | ~ p(esk22_0)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_180,plain,
    ( epred4_0
    | p(X1)
    | ~ epred3_0
    | ~ q(X2)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_175,c_0_176]),c_0_176]) ).

cnf(c_0_181,plain,
    ( epred3_0
    | q(X1)
    | q(X2)
    | ~ q(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_166]),c_0_178]) ).

fof(c_0_182,plain,
    ( epred5_0
  <=> ( ( ( ! [X1] :
              ( ( ( f(X1)
                  & g(X1) )
               => h(X1) )
             => ? [X2] :
                  ( f(X2)
                  & ~ g(X2) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ( ( ! [X1,X2] :
              ( r(X1,X2)
             => r(X2,X1) )
          & ! [X1,X2,X4] :
              ( ( r(X1,X2)
                & r(X2,X4) )
             => r(X1,X4) ) )
       => ! [X1,X2] :
            ( r(X1,X2)
           => r(X1,X1) ) )
      & ( ( ( ! [X1] :
                ( ( f(X1)
                  & g(X1) )
               => h(X1) )
           => ? [X1] :
                ( f(X1)
                & ~ g(X1) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ? [X1] :
        ! [X2] :
          ( ( p(X2)
           => q(X1) )
         => ( p(X1)
           => q(X1) ) )
      & ( ! [X1] :
            ( p(X1)
            & q(X1) )
      <=> ( ! [X1] : p(X1)
          & ! [X1] : q(X1) ) )
      & ( ( ! [X1] : p(X1)
          | ! [X1] : q(X1) )
       => ! [X1] :
            ( p(X1)
            | q(X1) ) )
      & ( ? [X1] :
            ( p(X1)
            | q(X1) )
      <=> ( ? [X1] : p(X1)
          | ? [X1] : q(X1) ) )
      & ? [X2] :
          ( p(X2)
         => ! [X1] : p(X1) )
      & ( ? [X1] :
            ( p(X1)
            & q(X1) )
       => ( ? [X1] : p(X1)
          & ? [X1] : q(X1) ) )
      & ! [X2] :
          ( ! [X1] : p(X1)
         => p(X2) )
      & ( ! [X1] : p(X1)
       => ? [X1] : p(X1) )
      & ( ~ ? [X2] : p(X2)
       => ! [X2] :
            ( ? [X1] : p(X1)
           => p(X2) ) )
      & ( ! [X1] :
            ( p(X1)
            | c )
      <=> ( ! [X1] : p(X1)
          | c ) )
      & ( ? [X1] :
            ( p(X1)
            & c )
      <=> ( ? [X1] : p(X1)
          & c ) ) ) ),
    introduced(definition) ).

cnf(c_0_183,plain,
    ( epred4_0
    | p(X1)
    | p(X4)
    | p(X5)
    | p(esk23_0)
    | ~ epred3_0
    | ~ q(X2)
    | ~ p(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_184,plain,
    ( epred4_0
    | ~ epred3_0
    | ~ q(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_179,c_0_180]),c_0_180]),c_0_180]) ).

cnf(c_0_185,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ epred2_0
    | ~ q(esk15_0)
    | ~ q(X3)
    | ~ q(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_186,plain,
    ( epred3_0
    | q(X1)
    | q(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_178]),c_0_178]),c_0_178]),c_0_181]) ).

fof(c_0_187,plain,
    ( ( epred4_0
      & ( ! [X1] :
            ( p(X1)
            | c )
      <=> ( ! [X1] : p(X1)
          | c ) )
      & ( ? [X1] :
            ( p(X1)
            & c )
      <=> ( ? [X1] : p(X1)
          & c ) ) )
   => epred5_0 ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_182]),c_0_165]) ).

cnf(c_0_188,plain,
    ( epred4_0
    | p(X1)
    | q(esk21_0)
    | p(X2)
    | p(X3)
    | ~ epred3_0
    | ~ p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_189,plain,
    ( epred4_0
    | ~ epred3_0
    | ~ q(X1)
    | ~ p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_183,c_0_184]),c_0_184]),c_0_184]),c_0_184]) ).

cnf(c_0_190,plain,
    ( epred3_0
    | ~ epred2_0
    | ~ q(esk14_0)
    | ~ p(esk13_0)
    | ~ q(esk12_0)
    | ~ p(esk11_0)
    | ~ q(esk15_0)
    | ~ q(X1)
    | ~ q(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_191,plain,
    ( epred3_0
    | p(X1)
    | p(X2)
    | ~ q(esk15_0)
    | ~ q(X3)
    | ~ q(X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_120])]) ).

cnf(c_0_192,plain,
    ( epred3_0
    | q(X1) ),
    inference(ef,[status(thm)],[c_0_186]) ).

fof(c_0_193,plain,
    ! [X4,X5,X6,X7] :
      ( ( ~ p(X6)
        | ~ c
        | ~ p(X7)
        | ~ c
        | ~ p(esk26_0)
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | p(esk27_0)
        | ~ p(esk26_0)
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | p(esk27_0)
        | ~ p(esk26_0)
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | c
        | ~ p(esk26_0)
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | c
        | ~ p(esk26_0)
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( ~ p(X6)
        | ~ c
        | ~ p(X7)
        | ~ c
        | ~ c
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | p(esk27_0)
        | ~ c
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | p(esk27_0)
        | ~ c
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | c
        | ~ c
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | c
        | ~ c
        | ~ p(esk25_0)
        | ~ epred4_0
        | epred5_0 )
      & ( ~ p(X6)
        | ~ c
        | ~ p(X7)
        | ~ c
        | ~ p(esk26_0)
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | p(esk27_0)
        | ~ p(esk26_0)
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | p(esk27_0)
        | ~ p(esk26_0)
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | c
        | ~ p(esk26_0)
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | c
        | ~ p(esk26_0)
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( ~ p(X6)
        | ~ c
        | ~ p(X7)
        | ~ c
        | ~ c
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | p(esk27_0)
        | ~ c
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | p(esk27_0)
        | ~ c
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | c
        | ~ c
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | c
        | ~ c
        | ~ c
        | ~ epred4_0
        | epred5_0 )
      & ( ~ p(X6)
        | ~ c
        | ~ p(X7)
        | ~ c
        | p(X4)
        | c
        | p(X5)
        | c
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | p(esk27_0)
        | p(X4)
        | c
        | p(X5)
        | c
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | p(esk27_0)
        | p(X4)
        | c
        | p(X5)
        | c
        | ~ epred4_0
        | epred5_0 )
      & ( p(esk28_0)
        | c
        | p(X4)
        | c
        | p(X5)
        | c
        | ~ epred4_0
        | epred5_0 )
      & ( c
        | c
        | p(X4)
        | c
        | p(X5)
        | c
        | ~ epred4_0
        | epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_187])])])])])])]) ).

cnf(c_0_194,plain,
    ( epred4_0
    | q(esk21_0)
    | p(X1)
    | p(X2)
    | ~ epred3_0
    | ~ p(esk20_0)
    | ~ p(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_195,plain,
    ( epred4_0
    | p(X1)
    | p(X2)
    | p(X3)
    | ~ epred3_0
    | ~ p(X4) ),
    inference(csr,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_196,plain,
    ( epred3_0
    | ~ q(esk12_0)
    | ~ q(esk14_0)
    | ~ q(esk15_0)
    | ~ q(X1)
    | ~ q(X2)
    | ~ p(esk11_0)
    | ~ p(esk13_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_120])]) ).

cnf(c_0_197,plain,
    ( epred3_0
    | p(X1)
    | p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_192]),c_0_192]) ).

cnf(c_0_198,plain,
    ( epred5_0
    | p(esk27_0)
    | p(esk28_0)
    | ~ epred4_0
    | ~ c
    | ~ c ),
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_199,plain,
    ( epred5_0
    | c
    | p(X1)
    | c
    | p(X2)
    | c
    | c
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_200,plain,
    ( epred4_0
    | q(esk21_0)
    | p(X1)
    | ~ epred3_0
    | ~ p(esk20_0)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_201,plain,
    ( epred4_0
    | p(X1)
    | p(X2)
    | ~ epred3_0
    | ~ p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_194,c_0_195]),c_0_189]) ).

cnf(c_0_202,plain,
    ( epred3_0
    | ~ p(esk11_0)
    | ~ p(esk13_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_192]),c_0_192]),c_0_192]),c_0_192]),c_0_192]) ).

cnf(c_0_203,plain,
    ( epred3_0
    | p(X1) ),
    inference(ef,[status(thm)],[c_0_197]) ).

cnf(c_0_204,plain,
    ( epred5_0
    | ~ epred4_0
    | ~ c
    | ~ c
    | ~ c
    | ~ p(X1)
    | ~ c
    | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_205,plain,
    ( epred5_0
    | p(esk27_0)
    | p(esk28_0)
    | ~ epred4_0
    | ~ p(esk25_0)
    | ~ c ),
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_206,plain,
    ( epred5_0
    | p(esk27_0)
    | p(esk28_0)
    | ~ c
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_198]) ).

cnf(c_0_207,plain,
    ( c
    | epred5_0
    | p(X2)
    | p(X1)
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_199]) ).

cnf(c_0_208,plain,
    ( epred5_0
    | p(esk27_0)
    | c
    | ~ epred4_0
    | ~ p(esk25_0)
    | ~ p(esk26_0) ),
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_209,plain,
    ( epred4_0
    | q(esk21_0)
    | p(X1)
    | ~ epred3_0
    | ~ p(esk20_0)
    | ~ p(esk22_0)
    | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_210,plain,
    ( epred4_0
    | p(X1)
    | p(esk21_0)
    | p(X2)
    | p(esk23_0)
    | ~ epred3_0
    | ~ p(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_211,plain,
    ( epred4_0
    | p(X1)
    | p(esk21_0)
    | p(X2)
    | p(X3)
    | p(esk23_0)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_212,plain,
    ( epred4_0
    | p(X1)
    | ~ epred3_0
    | ~ p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_200,c_0_201]),c_0_201]),c_0_189]) ).

cnf(c_0_213,plain,
    epred3_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_203]) ).

cnf(c_0_214,plain,
    ( epred5_0
    | ~ c
    | ~ epred4_0
    | ~ p(X2)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[c_0_204]) ).

cnf(c_0_215,plain,
    ( epred5_0
    | p(esk28_0)
    | p(esk27_0)
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).

cnf(c_0_216,plain,
    ( epred5_0
    | c
    | p(esk27_0)
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_208,c_0_207]),c_0_207]) ).

cnf(c_0_217,plain,
    ( epred4_0
    | q(esk21_0)
    | ~ epred3_0
    | ~ p(esk20_0)
    | ~ p(esk22_0)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_218,plain,
    ( epred4_0
    | p(X1)
    | ~ epred3_0
    | ~ p(esk20_0)
    | ~ p(esk22_0)
    | ~ p(X2) ),
    inference(csr,[status(thm)],[c_0_209,c_0_180]) ).

cnf(c_0_219,plain,
    ( epred4_0
    | p(esk23_0)
    | p(esk21_0)
    | p(X1)
    | p(X2)
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_220,plain,
    ( epred4_0
    | p(X1)
    | ~ p(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213])]) ).

fof(c_0_221,plain,
    ( epred6_0
  <=> ( ( ( ! [X1] :
              ( ( ( f(X1)
                  & g(X1) )
               => h(X1) )
             => ? [X2] :
                  ( f(X2)
                  & ~ g(X2) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ( ( ! [X1,X2] :
              ( r(X1,X2)
             => r(X2,X1) )
          & ! [X1,X2,X4] :
              ( ( r(X1,X2)
                & r(X2,X4) )
             => r(X1,X4) ) )
       => ! [X1,X2] :
            ( r(X1,X2)
           => r(X1,X1) ) )
      & ( ( ( ! [X1] :
                ( ( f(X1)
                  & g(X1) )
               => h(X1) )
           => ? [X1] :
                ( f(X1)
                & ~ g(X1) ) )
          & ( ! [X3] :
                ( f(X3)
               => g(X3) )
            | ! [X4] :
                ( f(X4)
               => h(X4) ) ) )
       => ( ! [X5] :
              ( ( f(X5)
                & h(X5) )
             => g(X5) )
         => ? [X6] :
              ( f(X6)
              & g(X6)
              & ~ h(X6) ) ) )
      & ? [X1] :
        ! [X2] :
          ( ( p(X2)
           => q(X1) )
         => ( p(X1)
           => q(X1) ) )
      & ( ! [X1] :
            ( p(X1)
            & q(X1) )
      <=> ( ! [X1] : p(X1)
          & ! [X1] : q(X1) ) )
      & ( ( ! [X1] : p(X1)
          | ! [X1] : q(X1) )
       => ! [X1] :
            ( p(X1)
            | q(X1) ) )
      & ( ? [X1] :
            ( p(X1)
            | q(X1) )
      <=> ( ? [X1] : p(X1)
          | ? [X1] : q(X1) ) )
      & ? [X2] :
          ( p(X2)
         => ! [X1] : p(X1) )
      & ( ? [X1] :
            ( p(X1)
            & q(X1) )
       => ( ? [X1] : p(X1)
          & ? [X1] : q(X1) ) )
      & ! [X2] :
          ( ! [X1] : p(X1)
         => p(X2) )
      & ( ! [X1] : p(X1)
       => ? [X1] : p(X1) )
      & ( ~ ? [X2] : p(X2)
       => ! [X2] :
            ( ? [X1] : p(X1)
           => p(X2) ) )
      & ( ! [X1] :
            ( p(X1)
            | c )
      <=> ( ! [X1] : p(X1)
          | c ) )
      & ( ? [X1] :
            ( p(X1)
            & c )
      <=> ( ? [X1] : p(X1)
          & c ) )
      & ( ? [X1] : c
      <=> c )
      & ( ! [X1] : c
      <=> c )
      & ( ? [X1] :
            ( c
           => p(X1) )
      <=> ( c
         => ? [X1] : p(X1) ) )
      & ( ? [X1] :
            ( p(X1)
           => c )
      <=> ( ! [X1] : p(X1)
         => c ) ) ) ),
    introduced(definition) ).

cnf(c_0_222,plain,
    ( epred5_0
    | p(esk27_0)
    | ~ epred4_0
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).

cnf(c_0_223,plain,
    ( epred4_0
    | q(esk21_0)
    | ~ epred3_0
    | ~ p(esk20_0)
    | ~ p(esk22_0)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_224,plain,
    ( epred4_0
    | p(esk23_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_213])]),c_0_220]),c_0_220]),c_0_220]) ).

fof(c_0_225,plain,
    ( ( epred5_0
      & ( ? [X1] : c
      <=> c )
      & ( ! [X1] : c
      <=> c )
      & ( ? [X1] :
            ( c
           => p(X1) )
      <=> ( c
         => ? [X1] : p(X1) ) )
      & ( ? [X1] :
            ( p(X1)
           => c )
      <=> ( ! [X1] : p(X1)
         => c ) ) )
   => epred6_0 ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_221]),c_0_182]) ).

fof(c_0_226,negated_conjecture,
    ~ ( epred6_0
      & ( ! [X1] :
            ( c
           => p(X1) )
      <=> ( c
         => ! [X1] : p(X1) ) )
      & ( ! [X1] :
            ( p(X1)
           => c )
      <=> ( ? [X1] : p(X1)
         => c ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[prove_this]),c_0_221]) ).

cnf(c_0_227,plain,
    ( epred5_0
    | p(esk27_0)
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_222,c_0_215]) ).

cnf(c_0_228,plain,
    ( epred4_0
    | q(esk21_0)
    | ~ p(esk20_0)
    | ~ p(esk22_0)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_213])]) ).

cnf(c_0_229,plain,
    ( epred4_0
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_220,c_0_224]) ).

fof(c_0_230,plain,
    ! [X6,X7,X10,X11] :
      ( ( p(X11)
        | p(X10)
        | c
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | c
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | c
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | c
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ p(X7)
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ p(X7)
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ p(X7)
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(X7)
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ p(X7)
        | c
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | c
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | c
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | c
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | c
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | c
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | c
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | c
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | c
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ p(X7)
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ p(X7)
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ p(X7)
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(X7)
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ p(X7)
        | c
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | c
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | c
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | c
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | c
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ p(X7)
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ p(X7)
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ p(X7)
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(X7)
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ p(X7)
        | ~ p(X6)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | ~ c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | c
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | c
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | c
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | c
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ p(X7)
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ p(X7)
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ p(X7)
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(X7)
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ p(X7)
        | c
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | c
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | c
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | c
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | c
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ p(X7)
        | ~ p(X6)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | ~ c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | c
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | c
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | c
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | c
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ p(X7)
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ p(X7)
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ p(X7)
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(X7)
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ p(X7)
        | c
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | c
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | c
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | c
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | c
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ p(X7)
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ p(X7)
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ p(X7)
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(X7)
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ p(X7)
        | ~ p(X6)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | p(X10)
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | p(X10)
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( p(X11)
        | ~ c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ c
        | ~ c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | c
        | ~ epred5_0
        | epred6_0 )
      & ( ~ p(esk31_0)
        | c
        | ~ p(esk32_0)
        | c
        | ~ c
        | p(esk29_0)
        | ~ c
        | p(esk30_0)
        | c
        | c
        | ~ epred5_0
        | epred6_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_225])])])])])])])]) ).

fof(c_0_231,negated_conjecture,
    ! [X4,X5,X8,X9] :
      ( ( p(esk4_0)
        | p(esk3_0)
        | c
        | c
        | ~ epred6_0 )
      & ( ~ c
        | p(esk3_0)
        | c
        | c
        | ~ epred6_0 )
      & ( p(esk4_0)
        | ~ c
        | c
        | c
        | ~ epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | c
        | ~ epred6_0 )
      & ( ~ p(X8)
        | c
        | ~ p(X9)
        | c
        | c
        | c
        | ~ epred6_0 )
      & ( p(esk4_0)
        | p(esk3_0)
        | ~ p(esk2_0)
        | c
        | ~ epred6_0 )
      & ( ~ c
        | p(esk3_0)
        | ~ p(esk2_0)
        | c
        | ~ epred6_0 )
      & ( p(esk4_0)
        | ~ c
        | ~ p(esk2_0)
        | c
        | ~ epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(esk2_0)
        | c
        | ~ epred6_0 )
      & ( ~ p(X8)
        | c
        | ~ p(X9)
        | c
        | ~ p(esk2_0)
        | c
        | ~ epred6_0 )
      & ( p(esk4_0)
        | p(esk3_0)
        | c
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( ~ c
        | p(esk3_0)
        | c
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( p(esk4_0)
        | ~ c
        | c
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( ~ c
        | ~ c
        | c
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( ~ p(X8)
        | c
        | ~ p(X9)
        | c
        | c
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( p(esk4_0)
        | p(esk3_0)
        | ~ p(esk2_0)
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( ~ c
        | p(esk3_0)
        | ~ p(esk2_0)
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( p(esk4_0)
        | ~ c
        | ~ p(esk2_0)
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( ~ c
        | ~ c
        | ~ p(esk2_0)
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( ~ p(X8)
        | c
        | ~ p(X9)
        | c
        | ~ p(esk2_0)
        | ~ p(esk1_0)
        | ~ epred6_0 )
      & ( p(esk4_0)
        | p(esk3_0)
        | ~ c
        | p(X4)
        | ~ c
        | p(X5)
        | ~ epred6_0 )
      & ( ~ c
        | p(esk3_0)
        | ~ c
        | p(X4)
        | ~ c
        | p(X5)
        | ~ epred6_0 )
      & ( p(esk4_0)
        | ~ c
        | ~ c
        | p(X4)
        | ~ c
        | p(X5)
        | ~ epred6_0 )
      & ( ~ c
        | ~ c
        | ~ c
        | p(X4)
        | ~ c
        | p(X5)
        | ~ epred6_0 )
      & ( ~ p(X8)
        | c
        | ~ p(X9)
        | c
        | ~ c
        | p(X4)
        | ~ c
        | p(X5)
        | ~ epred6_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_226])])])])])])]) ).

cnf(c_0_232,plain,
    ( epred5_0
    | ~ epred4_0
    | ~ c
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_214,c_0_227]) ).

cnf(c_0_233,plain,
    ( epred4_0
    | ~ q(X1)
    | ~ p(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_213])]) ).

cnf(c_0_234,plain,
    ( epred4_0
    | q(esk21_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_229]),c_0_229]) ).

cnf(c_0_235,plain,
    ( epred6_0
    | p(X3)
    | p(X4)
    | ~ epred5_0
    | ~ c
    | ~ c
    | ~ p(X1)
    | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_230]) ).

cnf(c_0_236,plain,
    ( epred6_0
    | c
    | c
    | c
    | c
    | p(X1)
    | p(X2)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_230]) ).

cnf(c_0_237,plain,
    ( epred6_0
    | p(esk30_0)
    | p(esk29_0)
    | ~ epred5_0
    | ~ c
    | ~ c
    | ~ c
    | ~ c
    | ~ c
    | ~ c ),
    inference(split_conjunct,[status(thm)],[c_0_230]) ).

cnf(c_0_238,negated_conjecture,
    ( p(X1)
    | p(X2)
    | ~ epred6_0
    | ~ c
    | ~ c
    | ~ c
    | ~ c ),
    inference(split_conjunct,[status(thm)],[c_0_231]) ).

cnf(c_0_239,plain,
    ( epred5_0
    | c
    | c
    | ~ epred4_0
    | ~ p(esk25_0)
    | ~ p(esk26_0) ),
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_240,plain,
    ( epred5_0
    | ~ epred4_0
    | ~ c ),
    inference(spm,[status(thm)],[c_0_232,c_0_227]) ).

cnf(c_0_241,plain,
    epred4_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_229]) ).

cnf(c_0_242,plain,
    ( epred6_0
    | p(X4)
    | p(X3)
    | ~ c
    | ~ epred5_0
    | ~ p(X2)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[c_0_235]) ).

cnf(c_0_243,plain,
    ( c
    | epred6_0
    | p(X2)
    | p(X1)
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_236]) ).

cnf(c_0_244,plain,
    ( epred6_0
    | p(esk29_0)
    | p(esk30_0)
    | ~ c
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_237]) ).

cnf(c_0_245,negated_conjecture,
    ( p(X2)
    | p(X1)
    | ~ c
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_238]) ).

cnf(c_0_246,plain,
    ( c
    | epred5_0
    | ~ epred4_0
    | ~ p(esk25_0)
    | ~ p(esk26_0) ),
    inference(cn,[status(thm)],[c_0_239]) ).

cnf(c_0_247,plain,
    ( epred5_0
    | ~ c ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_241])]) ).

cnf(c_0_248,plain,
    ( epred6_0
    | p(X1)
    | p(X2)
    | ~ epred5_0
    | ~ p(X3)
    | ~ p(X4) ),
    inference(csr,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_249,plain,
    ( p(esk30_0)
    | p(esk29_0)
    | ~ epred5_0
    | ~ c ),
    inference(csr,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_250,plain,
    ( epred5_0
    | ~ p(esk25_0)
    | ~ p(esk26_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_241])]),c_0_247]) ).

cnf(c_0_251,plain,
    ( epred5_0
    | p(X1)
    | p(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_241])]),c_0_247]) ).

cnf(c_0_252,negated_conjecture,
    ( c
    | c
    | p(esk3_0)
    | p(esk4_0)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_231]) ).

cnf(c_0_253,plain,
    ( epred6_0
    | ~ epred5_0
    | ~ c
    | ~ c
    | ~ p(X1)
    | ~ p(X2)
    | ~ c
    | ~ c ),
    inference(split_conjunct,[status(thm)],[c_0_230]) ).

cnf(c_0_254,plain,
    ( epred6_0
    | c
    | c
    | c
    | c
    | c
    | c
    | ~ epred5_0
    | ~ p(esk32_0)
    | ~ p(esk31_0) ),
    inference(split_conjunct,[status(thm)],[c_0_230]) ).

cnf(c_0_255,negated_conjecture,
    ( c
    | c
    | c
    | c
    | ~ epred6_0
    | ~ p(X1)
    | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_231]) ).

cnf(c_0_256,plain,
    ( epred6_0
    | p(X1)
    | p(X2)
    | ~ epred5_0
    | ~ p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_243]),c_0_248]) ).

cnf(c_0_257,plain,
    ( epred5_0
    | p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_251]) ).

cnf(c_0_258,negated_conjecture,
    ( c
    | p(esk3_0)
    | p(esk4_0)
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_252]) ).

cnf(c_0_259,plain,
    ( epred6_0
    | ~ c
    | ~ epred5_0
    | ~ p(X2)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[c_0_253]) ).

cnf(c_0_260,plain,
    ( c
    | epred6_0
    | ~ epred5_0
    | ~ p(esk31_0)
    | ~ p(esk32_0) ),
    inference(cn,[status(thm)],[c_0_254]) ).

cnf(c_0_261,negated_conjecture,
    ( c
    | ~ epred6_0
    | ~ p(X2)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[c_0_255]) ).

cnf(c_0_262,plain,
    ( epred6_0
    | p(X1)
    | p(X2)
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_249]),c_0_243]),c_0_256]) ).

cnf(c_0_263,plain,
    epred5_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_257]),c_0_257]) ).

cnf(c_0_264,negated_conjecture,
    ( p(esk4_0)
    | p(esk3_0)
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[c_0_258,c_0_245]) ).

cnf(c_0_265,plain,
    ( epred6_0
    | ~ epred5_0
    | ~ c
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_249]),c_0_259]) ).

cnf(c_0_266,plain,
    ( c
    | ~ epred5_0
    | ~ p(esk31_0)
    | ~ p(esk32_0) ),
    inference(csr,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_267,plain,
    ( epred6_0
    | p(X1)
    | p(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_263])]) ).

cnf(c_0_268,negated_conjecture,
    ( c
    | ~ epred6_0
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_264]),c_0_261]) ).

cnf(c_0_269,plain,
    ( epred6_0
    | ~ epred5_0
    | ~ c ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_249]),c_0_265]) ).

cnf(c_0_270,plain,
    ( c
    | ~ p(esk31_0)
    | ~ p(esk32_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_263])]) ).

cnf(c_0_271,plain,
    ( epred6_0
    | p(X1) ),
    inference(ef,[status(thm)],[c_0_267]) ).

cnf(c_0_272,negated_conjecture,
    ( c
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_264]),c_0_268]) ).

cnf(c_0_273,plain,
    ( epred6_0
    | ~ c ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_263])]) ).

cnf(c_0_274,plain,
    c,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_271]),c_0_272]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ epred6_0
    | ~ p(esk1_0)
    | ~ p(esk2_0)
    | ~ c
    | ~ c ),
    inference(split_conjunct,[status(thm)],[c_0_231]) ).

cnf(c_0_276,plain,
    epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_274])]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ c
    | ~ epred6_0
    | ~ p(esk1_0)
    | ~ p(esk2_0) ),
    inference(cn,[status(thm)],[c_0_275]) ).

cnf(c_0_278,negated_conjecture,
    ( p(X1)
    | p(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_274])]),c_0_276])]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ p(esk1_0)
    | ~ p(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_274])]),c_0_276])]) ).

cnf(c_0_280,negated_conjecture,
    p(X1),
    inference(ef,[status(thm)],[c_0_278]) ).

cnf(c_0_281,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_280]),c_0_280])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 16:46:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.043 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 282
% 0.23/1.41  # Proof object clause steps            : 261
% 0.23/1.41  # Proof object formula steps           : 21
% 0.23/1.41  # Proof object conjectures             : 18
% 0.23/1.41  # Proof object clause conjectures      : 15
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 96
% 0.23/1.41  # Proof object initial formulas used   : 1
% 0.23/1.41  # Proof object generating inferences   : 93
% 0.23/1.41  # Proof object simplifying inferences  : 222
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 1
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.41  # Initial clauses                      : 360
% 0.23/1.41  # Removed in clause preprocessing      : 104
% 0.23/1.41  # Initial clauses in saturation        : 256
% 0.23/1.41  # Processed clauses                    : 663
% 0.23/1.41  # ...of these trivial                  : 1
% 0.23/1.41  # ...subsumed                          : 249
% 0.23/1.41  # ...remaining for further processing  : 413
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 285
% 0.23/1.41  # Backward-rewritten                   : 120
% 0.23/1.41  # Generated clauses                    : 1896
% 0.23/1.41  # ...of the previous two non-trivial   : 1655
% 0.23/1.41  # Contextual simplify-reflections      : 714
% 0.23/1.41  # Paramodulations                      : 1792
% 0.23/1.41  # Factorizations                       : 104
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 8
% 0.23/1.41  #    Positive orientable unit clauses  : 8
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 0
% 0.23/1.41  #    Non-unit-clauses                  : 0
% 0.23/1.41  # Current number of unprocessed clauses: 1
% 0.23/1.41  # ...number of literals in the above   : 2
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 405
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 26644
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 2079
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 1243
% 0.23/1.41  # Unit Clause-clause subsumption calls : 114
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 13
% 0.23/1.41  # BW rewrite match successes           : 13
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 49672
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.204 s
% 0.23/1.41  # System time              : 0.006 s
% 0.23/1.41  # Total time               : 0.210 s
% 0.23/1.41  # Maximum resident set size: 4216 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------