TSTP Solution File: SYN067+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 05:51:28 EDT 2022

% Result   : Theorem 0.67s 67.83s
% Output   : CNFRefutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  514 (   8 unt;   0 def)
%            Number of atoms       : 3449 (   0 equ)
%            Maximal formula atoms :  500 (   6 avg)
%            Number of connectives : 4442 (1507   ~;2806   |; 103   &)
%                                         (  22 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  103 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   23 (  22 usr;  21 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-1 aty)
%            Number of variables   :  415 (   1 sgn  49   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel38,conjecture,
    ( ! [X1] :
        ( ( big_p(a)
          & ( big_p(X1)
           => ? [X2] :
                ( big_p(X2)
                & big_r(X1,X2) ) ) )
       => ? [X3,X4] :
            ( big_p(X3)
            & big_r(X1,X4)
            & big_r(X4,X3) ) )
  <=> ! [X5] :
        ( ( ~ big_p(a)
          | big_p(X5)
          | ? [X6,X7] :
              ( big_p(X6)
              & big_r(X5,X7)
              & big_r(X7,X6) ) )
        & ( ~ big_p(a)
          | ~ ? [X8] :
                ( big_p(X8)
                & big_r(X5,X8) )
          | ? [X9,X10] :
              ( big_p(X9)
              & big_r(X5,X10)
              & big_r(X10,X9) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel38) ).

fof(c_0_1,negated_conjecture,
    ~ ( ! [X1] :
          ( ( big_p(a)
            & ( big_p(X1)
             => ? [X2] :
                  ( big_p(X2)
                  & big_r(X1,X2) ) ) )
         => ? [X3,X4] :
              ( big_p(X3)
              & big_r(X1,X4)
              & big_r(X4,X3) ) )
    <=> ! [X5] :
          ( ( ~ big_p(a)
            | big_p(X5)
            | ? [X6,X7] :
                ( big_p(X6)
                & big_r(X5,X7)
                & big_r(X7,X6) ) )
          & ( ~ big_p(a)
            | ~ ? [X8] :
                  ( big_p(X8)
                  & big_r(X5,X8) )
            | ? [X9,X10] :
                ( big_p(X9)
                & big_r(X5,X10)
                & big_r(X10,X9) ) ) ) ),
    inference(assume_negation,[status(cth)],[pel38]) ).

fof(c_0_2,plain,
    ( ~ epred11_0
  <=> ! [X2,X1] :
        ( big_r(X1,esk7_1(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) ) ),
    introduced(definition) ).

fof(c_0_3,negated_conjecture,
    ! [X13,X14,X16,X17,X19,X20,X21,X22,X25,X25,X28] :
      ( ( big_p(a)
        | big_p(a)
        | big_p(a) )
      & ( big_p(esk5_0)
        | big_p(a)
        | big_p(a) )
      & ( big_r(esk4_0,esk5_0)
        | big_p(a)
        | big_p(a) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | big_p(a)
        | big_p(a) )
      & ( big_p(a)
        | ~ big_p(esk3_0)
        | big_p(a) )
      & ( big_p(esk5_0)
        | ~ big_p(esk3_0)
        | big_p(a) )
      & ( big_r(esk4_0,esk5_0)
        | ~ big_p(esk3_0)
        | big_p(a) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | ~ big_p(esk3_0)
        | big_p(a) )
      & ( big_p(a)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_p(a) )
      & ( big_p(esk5_0)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_p(a) )
      & ( big_r(esk4_0,esk5_0)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_p(a) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_p(a) )
      & ( big_p(a)
        | big_p(a)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(esk5_0)
        | big_p(a)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_r(esk4_0,esk5_0)
        | big_p(a)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | big_p(a)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(a)
        | ~ big_p(esk3_0)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(esk5_0)
        | ~ big_p(esk3_0)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_r(esk4_0,esk5_0)
        | ~ big_p(esk3_0)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | ~ big_p(esk3_0)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(a)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(esk5_0)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_r(esk4_0,esk5_0)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_p(esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(a)
        | big_p(a)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(esk5_0)
        | big_p(a)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_r(esk4_0,esk5_0)
        | big_p(a)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | big_p(a)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(a)
        | ~ big_p(esk3_0)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(esk5_0)
        | ~ big_p(esk3_0)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_r(esk4_0,esk5_0)
        | ~ big_p(esk3_0)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | ~ big_p(esk3_0)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(a)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(esk5_0)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_r(esk4_0,esk5_0)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | big_r(esk1_0,esk2_0)
        | ~ big_p(esk1_0) )
      & ( big_p(a)
        | big_p(a)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( big_p(esk5_0)
        | big_p(a)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( big_r(esk4_0,esk5_0)
        | big_p(a)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | big_p(a)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( big_p(a)
        | ~ big_p(esk3_0)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( big_p(esk5_0)
        | ~ big_p(esk3_0)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( big_r(esk4_0,esk5_0)
        | ~ big_p(esk3_0)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | ~ big_p(esk3_0)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( big_p(a)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( big_p(esk5_0)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( big_r(esk4_0,esk5_0)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( ~ big_p(X19)
        | ~ big_r(esk4_0,X20)
        | ~ big_r(X20,X19)
        | ~ big_p(X16)
        | ~ big_r(esk3_0,X17)
        | ~ big_r(X17,X16)
        | ~ big_p(X13)
        | ~ big_r(esk1_0,X14)
        | ~ big_r(X14,X13) )
      & ( big_p(esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_p(esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(X25,esk9_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_p(esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(esk9_1(X25),esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_p(esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_p(esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_p(esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(X25,esk11_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_p(esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(esk11_1(X25),esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_p(esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_p(esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(X21,esk7_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(X25,esk9_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(X21,esk7_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(esk9_1(X25),esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(X21,esk7_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_p(esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(X21,esk7_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(X25,esk11_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(X21,esk7_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(esk11_1(X25),esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(X21,esk7_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_p(esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(esk7_1(X21),esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(X25,esk9_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(esk7_1(X21),esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(esk9_1(X25),esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(esk7_1(X21),esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_p(esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(esk7_1(X21),esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(X25,esk11_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(esk7_1(X21),esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_r(esk11_1(X25),esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(esk7_1(X21),esk6_1(X21))
        | big_p(X21)
        | ~ big_p(a) )
      & ( big_p(esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_p(esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(X25,esk9_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_p(esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(esk9_1(X25),esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_p(esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_p(esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_p(esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(X25,esk11_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_p(esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(esk11_1(X25),esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_p(esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_p(esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(X21,esk7_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(X25,esk9_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(X21,esk7_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(esk9_1(X25),esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(X21,esk7_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_p(esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(X21,esk7_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(X25,esk11_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(X21,esk7_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(esk11_1(X25),esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(X21,esk7_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_p(esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(esk7_1(X21),esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(X25,esk9_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(esk7_1(X21),esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(esk9_1(X25),esk8_1(X25))
        | ~ big_p(a)
        | big_p(X25)
        | big_r(esk7_1(X21),esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_p(esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(esk7_1(X21),esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(X25,esk11_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(esk7_1(X21),esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) )
      & ( big_r(esk11_1(X25),esk10_1(X25))
        | ~ big_p(a)
        | ~ big_p(X28)
        | ~ big_r(X25,X28)
        | big_r(esk7_1(X21),esk6_1(X21))
        | ~ big_p(X22)
        | ~ big_r(X21,X22)
        | ~ big_p(a) ) ),
    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_1])])])])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( epred11_0
    | big_r(X1,esk7_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( big_p(esk2_0)
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_7,plain,
    ( ~ epred13_0
  <=> ! [X2,X1] :
        ( big_r(esk7_1(X1),esk6_1(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) ) ),
    introduced(definition) ).

fof(c_0_8,plain,
    ( ~ epred7_0
  <=> ! [X2,X1] :
        ( big_p(esk6_1(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) ) ),
    introduced(definition) ).

cnf(c_0_9,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,negated_conjecture,
    ( big_p(esk2_0)
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    ( big_p(esk5_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk1_0,X1)
    | ~ big_p(X2)
    | ~ big_p(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_12,negated_conjecture,
    ( epred11_0
    | big_r(esk1_0,esk7_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    ( epred13_0
    | big_r(esk7_1(X1),esk6_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    ( epred7_0
    | big_p(esk6_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    ( big_r(esk4_0,esk5_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk1_0,X1)
    | ~ big_p(X2)
    | ~ big_p(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_16,negated_conjecture,
    ( epred11_0
    | big_r(esk1_0,esk7_1(esk1_0))
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_9]),c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    ( epred11_0
    | big_p(esk5_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    ( epred13_0
    | big_r(esk7_1(esk1_0),esk6_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_5]),c_0_6]) ).

fof(c_0_19,plain,
    ( ~ epred12_0
  <=> ! [X3,X2] :
        ( big_r(X2,esk11_1(X2))
        | ~ big_p(X3)
        | ~ big_r(X2,X3) ) ),
    introduced(definition) ).

fof(c_0_20,plain,
    ( ~ epred8_0
  <=> ! [X3,X2] :
        ( big_p(esk10_1(X2))
        | ~ big_p(X3)
        | ~ big_r(X2,X3) ) ),
    introduced(definition) ).

cnf(c_0_21,negated_conjecture,
    ( epred7_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk6_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_9]),c_0_10]) ).

cnf(c_0_22,negated_conjecture,
    ( epred7_0
    | big_p(esk6_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_5]),c_0_6]) ).

cnf(c_0_23,negated_conjecture,
    ( epred11_0
    | big_r(esk4_0,esk5_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    ( epred13_0
    | big_r(esk7_1(esk1_0),esk6_1(esk1_0))
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_9]),c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    ( epred13_0
    | epred11_0
    | big_p(esk5_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    ( big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk4_0,X1)
    | ~ big_p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_27,negated_conjecture,
    ( epred11_0
    | big_r(esk4_0,esk7_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_10]),c_0_6]) ).

cnf(c_0_28,negated_conjecture,
    ( epred12_0
    | big_r(X1,esk11_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_19]) ).

fof(c_0_29,plain,
    ( ~ epred14_0
  <=> ! [X3,X2] :
        ( big_r(esk11_1(X2),esk10_1(X2))
        | ~ big_p(X3)
        | ~ big_r(X2,X3) ) ),
    introduced(definition) ).

cnf(c_0_30,negated_conjecture,
    ( epred8_0
    | big_p(esk10_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_20]) ).

cnf(c_0_31,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk4_0,X1)
    | ~ big_p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_32,negated_conjecture,
    ( epred11_0
    | epred7_0
    | big_r(esk4_0,esk7_1(esk4_0))
    | big_p(esk6_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_21]),c_0_22]) ).

cnf(c_0_33,negated_conjecture,
    ( epred13_0
    | epred11_0
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_34,negated_conjecture,
    ( epred7_0
    | big_p(esk6_1(esk1_0))
    | big_p(esk6_1(esk4_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_21]),c_0_22]) ).

cnf(c_0_35,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | big_p(esk5_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_25,c_0_22]) ).

cnf(c_0_36,negated_conjecture,
    ( epred11_0
    | big_p(esk2_0)
    | ~ big_r(esk7_1(esk4_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_37,negated_conjecture,
    ( epred13_0
    | big_r(esk7_1(esk4_0),esk6_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_10]),c_0_6]) ).

cnf(c_0_38,negated_conjecture,
    ( epred12_0
    | big_r(esk1_0,esk11_1(esk1_0))
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_9]),c_0_10]) ).

cnf(c_0_39,negated_conjecture,
    ( epred14_0
    | big_r(esk11_1(X1),esk10_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_29]) ).

cnf(c_0_40,negated_conjecture,
    ( epred12_0
    | big_r(esk1_0,esk11_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_5]),c_0_6]) ).

cnf(c_0_41,negated_conjecture,
    ( epred8_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk10_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_9]),c_0_10]) ).

cnf(c_0_42,negated_conjecture,
    ( epred8_0
    | big_p(esk10_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_5]),c_0_6]) ).

cnf(c_0_43,negated_conjecture,
    ( epred12_0
    | big_r(esk4_0,esk11_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_10]),c_0_6]) ).

cnf(c_0_44,negated_conjecture,
    ( epred11_0
    | epred7_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk6_1(esk1_0))
    | ~ big_r(esk7_1(esk4_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_45,negated_conjecture,
    ( epred13_0
    | epred7_0
    | big_r(esk7_1(esk4_0),esk6_1(esk4_0))
    | big_p(esk6_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_21]),c_0_22]) ).

cnf(c_0_46,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | big_p(esk6_1(esk4_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_33]),c_0_34]),c_0_35]) ).

cnf(c_0_47,negated_conjecture,
    ( epred13_0
    | epred11_0
    | big_p(esk2_0)
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_48,negated_conjecture,
    ( epred7_0
    | big_p(esk6_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_10]),c_0_6]) ).

cnf(c_0_49,negated_conjecture,
    ( epred12_0
    | big_r(esk4_0,esk5_0)
    | ~ big_r(esk11_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_15,c_0_38]) ).

cnf(c_0_50,negated_conjecture,
    ( epred14_0
    | big_r(esk11_1(esk1_0),esk10_1(esk1_0))
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_9]),c_0_10]) ).

cnf(c_0_51,negated_conjecture,
    ( epred12_0
    | big_p(esk5_0)
    | ~ big_r(esk11_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_11,c_0_40]) ).

cnf(c_0_52,negated_conjecture,
    ( epred14_0
    | big_r(esk11_1(esk1_0),esk10_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_5]),c_0_6]) ).

cnf(c_0_53,negated_conjecture,
    ( epred12_0
    | epred8_0
    | big_r(esk4_0,esk11_1(esk4_0))
    | big_p(esk10_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_41]),c_0_42]) ).

cnf(c_0_54,negated_conjecture,
    ( epred12_0
    | big_p(esk2_0)
    | ~ big_r(esk11_1(esk4_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_26,c_0_43]) ).

cnf(c_0_55,negated_conjecture,
    ( epred14_0
    | big_r(esk11_1(esk4_0),esk10_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_10]),c_0_6]) ).

cnf(c_0_56,negated_conjecture,
    ( epred13_0
    | epred11_0
    | big_r(esk4_0,esk7_1(esk4_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_33]),c_0_25]) ).

cnf(c_0_57,negated_conjecture,
    ( epred13_0
    | epred11_0
    | big_r(esk7_1(esk4_0),esk6_1(esk4_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_33]),c_0_25]) ).

cnf(c_0_58,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk6_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).

cnf(c_0_59,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_60,negated_conjecture,
    ( epred14_0
    | epred12_0
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_61,negated_conjecture,
    ( epred14_0
    | epred12_0
    | big_p(esk5_0)
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_62,negated_conjecture,
    ( epred12_0
    | epred8_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk10_1(esk1_0))
    | ~ big_r(esk11_1(esk4_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_31,c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    ( epred14_0
    | epred8_0
    | big_r(esk11_1(esk4_0),esk10_1(esk4_0))
    | big_p(esk10_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_41]),c_0_42]) ).

cnf(c_0_64,negated_conjecture,
    ( epred8_0
    | big_p(esk10_1(esk1_0))
    | big_p(esk10_1(esk4_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_41]),c_0_42]) ).

cnf(c_0_65,negated_conjecture,
    ( epred14_0
    | epred12_0
    | big_p(esk2_0)
    | ~ big_p(esk10_1(esk4_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_66,negated_conjecture,
    ( epred8_0
    | big_p(esk10_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_10]),c_0_6]) ).

cnf(c_0_67,negated_conjecture,
    ( epred13_0
    | epred11_0
    | big_r(esk1_0,esk2_0)
    | ~ big_r(esk7_1(esk4_0),X1)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_31,c_0_56]) ).

cnf(c_0_68,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | big_r(esk7_1(esk4_0),esk6_1(esk4_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_32]),c_0_45]),c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | big_p(esk6_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_58]),c_0_59]) ).

fof(c_0_70,plain,
    ( ~ epred9_0
  <=> ! [X2,X1] :
        ( ~ big_p(X2)
        | ~ big_p(esk3_0)
        | ~ big_r(X1,X2)
        | ~ big_r(esk1_0,X1) ) ),
    introduced(definition) ).

fof(c_0_71,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( big_p(X1)
        | big_r(X1,esk7_1(X1)) ) ),
    introduced(definition) ).

cnf(c_0_72,negated_conjecture,
    ( epred14_0
    | epred12_0
    | big_r(esk4_0,esk11_1(esk4_0))
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_60]),c_0_61]) ).

cnf(c_0_73,negated_conjecture,
    ( epred14_0
    | epred12_0
    | big_r(esk11_1(esk4_0),esk10_1(esk4_0))
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_60]),c_0_61]) ).

cnf(c_0_74,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | big_p(esk5_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_61,c_0_42]) ).

cnf(c_0_75,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk10_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_76,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_77,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | big_r(esk1_0,esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_68]),c_0_46]),c_0_69]) ).

cnf(c_0_78,negated_conjecture,
    ( epred9_0
    | ~ big_r(esk1_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(esk3_0)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_70]) ).

cnf(c_0_79,negated_conjecture,
    ( epred4_0
    | big_r(X1,esk7_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_71]) ).

fof(c_0_80,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( big_p(X1)
        | big_r(esk7_1(X1),esk6_1(X1)) ) ),
    introduced(definition) ).

fof(c_0_81,plain,
    ( ~ epred16_0
  <=> ! [X4,X3] :
        ( ~ big_p(X4)
        | ~ big_r(X3,X4)
        | ~ big_r(esk3_0,X3) ) ),
    introduced(definition) ).

cnf(c_0_82,negated_conjecture,
    ( epred14_0
    | epred12_0
    | big_r(esk1_0,esk2_0)
    | ~ big_r(esk11_1(esk4_0),X1)
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_31,c_0_72]) ).

cnf(c_0_83,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | big_r(esk11_1(esk4_0),esk10_1(esk4_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_53]),c_0_63]),c_0_73]) ).

cnf(c_0_84,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | big_p(esk10_1(esk4_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_60]),c_0_64]),c_0_74]) ).

cnf(c_0_85,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | big_p(esk10_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_75]),c_0_76]) ).

fof(c_0_86,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( big_p(X2)
        | big_r(X2,esk9_1(X2)) ) ),
    introduced(definition) ).

cnf(c_0_87,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | big_r(esk1_0,esk7_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_77]),c_0_59]) ).

cnf(c_0_88,negated_conjecture,
    ( epred9_0
    | epred4_0
    | big_p(esk1_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_89,negated_conjecture,
    ( epred6_0
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_80]) ).

fof(c_0_90,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( big_p(X1)
        | big_p(esk6_1(X1)) ) ),
    introduced(definition) ).

cnf(c_0_91,negated_conjecture,
    ( epred16_0
    | ~ big_r(esk3_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_81]) ).

cnf(c_0_92,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | big_r(esk1_0,esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]) ).

cnf(c_0_93,negated_conjecture,
    ( epred3_0
    | big_r(X1,esk9_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_86]) ).

fof(c_0_94,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( big_p(X2)
        | big_r(esk9_1(X2),esk8_1(X2)) ) ),
    introduced(definition) ).

cnf(c_0_95,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred9_0
    | epred7_0
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_78,c_0_87]) ).

cnf(c_0_96,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | big_r(esk7_1(esk1_0),esk6_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_77]),c_0_59]) ).

cnf(c_0_97,negated_conjecture,
    ( epred9_0
    | epred6_0
    | epred4_0
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_98,negated_conjecture,
    ( epred2_0
    | big_p(esk6_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_90]) ).

cnf(c_0_99,negated_conjecture,
    ( epred16_0
    | epred4_0
    | big_p(esk3_0)
    | ~ big_r(esk7_1(esk3_0),X1)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_91,c_0_79]) ).

cnf(c_0_100,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | big_r(esk1_0,esk11_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_92]),c_0_76]) ).

cnf(c_0_101,negated_conjecture,
    ( epred9_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_r(esk9_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_78,c_0_93]) ).

cnf(c_0_102,negated_conjecture,
    ( epred5_0
    | big_r(esk9_1(X1),esk8_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_94]) ).

fof(c_0_103,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( big_p(X2)
        | big_p(esk8_1(X2)) ) ),
    introduced(definition) ).

cnf(c_0_104,negated_conjecture,
    ( big_p(X1)
    | big_p(esk6_1(X1))
    | big_p(X2)
    | big_r(X2,esk9_1(X2))
    | ~ big_p(a)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_105,negated_conjecture,
    ( big_p(a)
    | big_p(a)
    | big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_106,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred9_0
    | epred7_0
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_95,c_0_96]),c_0_69]) ).

cnf(c_0_107,negated_conjecture,
    ( epred9_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_108,negated_conjecture,
    ( epred16_0
    | epred6_0
    | epred4_0
    | big_p(esk3_0)
    | ~ big_p(esk6_1(esk3_0)) ),
    inference(pm,[status(thm)],[c_0_99,c_0_89]) ).

cnf(c_0_109,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk7_1(X1))
    | big_p(X2)
    | big_r(X2,esk9_1(X2))
    | ~ big_p(a)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_110,negated_conjecture,
    ( big_p(X1)
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_p(X2)
    | big_r(X2,esk9_1(X2))
    | ~ big_p(a)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_111,negated_conjecture,
    ( big_p(esk6_1(X1))
    | big_p(X3)
    | big_r(X3,esk9_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_112,negated_conjecture,
    ( big_r(X1,esk7_1(X1))
    | big_p(X3)
    | big_r(X3,esk9_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_113,negated_conjecture,
    ( big_r(esk7_1(X1),esk6_1(X1))
    | big_p(X3)
    | big_r(X3,esk9_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_114,negated_conjecture,
    ( big_p(X1)
    | big_p(esk6_1(X1))
    | big_p(X2)
    | big_r(esk9_1(X2),esk8_1(X2))
    | ~ big_p(a)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_115,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk7_1(X1))
    | big_p(X2)
    | big_r(esk9_1(X2),esk8_1(X2))
    | ~ big_p(a)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_116,negated_conjecture,
    ( big_p(X1)
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_p(X2)
    | big_r(esk9_1(X2),esk8_1(X2))
    | ~ big_p(a)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_117,negated_conjecture,
    ( big_p(esk6_1(X1))
    | big_p(X3)
    | big_r(esk9_1(X3),esk8_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_118,negated_conjecture,
    ( big_r(X1,esk7_1(X1))
    | big_p(X3)
    | big_r(esk9_1(X3),esk8_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_119,negated_conjecture,
    ( big_r(esk7_1(X1),esk6_1(X1))
    | big_p(X3)
    | big_r(esk9_1(X3),esk8_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_120,negated_conjecture,
    ( big_p(X1)
    | big_p(esk6_1(X1))
    | big_p(esk10_1(X2))
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_p(X3)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_121,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk7_1(X1))
    | big_p(esk10_1(X2))
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_p(X3)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_122,negated_conjecture,
    ( big_p(X1)
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_p(esk10_1(X2))
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_p(X3)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_123,negated_conjecture,
    ( big_p(esk6_1(X1))
    | big_p(esk10_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_p(X4)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_124,negated_conjecture,
    ( big_r(X1,esk7_1(X1))
    | big_p(esk10_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_p(X4)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_125,negated_conjecture,
    ( big_r(esk7_1(X1),esk6_1(X1))
    | big_p(esk10_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_p(X4)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_126,negated_conjecture,
    ( big_p(X1)
    | big_p(esk6_1(X1))
    | big_r(X2,esk11_1(X2))
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_p(X3)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_127,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk7_1(X1))
    | big_r(X2,esk11_1(X2))
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_p(X3)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_128,negated_conjecture,
    ( big_p(X1)
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_r(X2,esk11_1(X2))
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_p(X3)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_129,negated_conjecture,
    ( big_p(esk6_1(X1))
    | big_r(X3,esk11_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_p(X4)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_130,negated_conjecture,
    ( big_r(X1,esk7_1(X1))
    | big_r(X3,esk11_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_p(X4)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_131,negated_conjecture,
    ( big_r(esk7_1(X1),esk6_1(X1))
    | big_r(X3,esk11_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_p(X4)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_132,negated_conjecture,
    ( big_p(X1)
    | big_p(esk6_1(X1))
    | big_r(esk11_1(X2),esk10_1(X2))
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_p(X3)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_133,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk7_1(X1))
    | big_r(esk11_1(X2),esk10_1(X2))
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_p(X3)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_134,negated_conjecture,
    ( big_p(X1)
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_r(esk11_1(X2),esk10_1(X2))
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_p(X3)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_135,negated_conjecture,
    ( big_p(esk6_1(X1))
    | big_r(esk11_1(X3),esk10_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_p(X4)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_136,negated_conjecture,
    ( big_r(X1,esk7_1(X1))
    | big_r(esk11_1(X3),esk10_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_p(X4)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_137,negated_conjecture,
    ( big_r(esk7_1(X1),esk6_1(X1))
    | big_r(esk11_1(X3),esk10_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_p(X4)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_138,negated_conjecture,
    ( epred3_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk1_0)
    | ~ big_r(esk9_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_15,c_0_93]) ).

cnf(c_0_139,negated_conjecture,
    ( epred3_0
    | big_p(esk1_0)
    | big_p(esk5_0)
    | ~ big_r(esk9_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_11,c_0_93]) ).

fof(c_0_140,plain,
    ( ~ epred10_0
  <=> ! [X4,X3] :
        ( ~ big_p(X4)
        | ~ big_r(X3,X4)
        | ~ big_r(esk4_0,X3) ) ),
    introduced(definition) ).

cnf(c_0_141,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred9_0
    | epred8_0
    | ~ big_r(esk11_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_78,c_0_100]) ).

cnf(c_0_142,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | big_r(esk11_1(esk1_0),esk10_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_92]),c_0_76]) ).

cnf(c_0_143,negated_conjecture,
    ( epred9_0
    | epred5_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_144,negated_conjecture,
    ( epred1_0
    | big_p(esk8_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_103]) ).

cnf(c_0_145,negated_conjecture,
    ( epred16_0
    | epred3_0
    | big_p(esk3_0)
    | ~ big_r(esk9_1(esk3_0),X1)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_91,c_0_93]) ).

cnf(c_0_146,negated_conjecture,
    ( big_p(X2)
    | big_p(X1)
    | big_p(esk6_1(X1))
    | big_r(X2,esk9_1(X2))
    | ~ big_p(a) ),
    inference(cn,[status(thm)],[c_0_104]) ).

cnf(c_0_147,negated_conjecture,
    big_p(a),
    inference(cn,[status(thm)],[c_0_105]) ).

cnf(c_0_148,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred9_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_149,negated_conjecture,
    ( epred16_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_108,c_0_98]) ).

cnf(c_0_150,negated_conjecture,
    ( big_p(X2)
    | big_p(X1)
    | big_r(X2,esk9_1(X2))
    | big_r(X1,esk7_1(X1))
    | ~ big_p(a) ),
    inference(cn,[status(thm)],[c_0_109]) ).

cnf(c_0_151,negated_conjecture,
    ( big_p(X2)
    | big_p(X1)
    | big_r(X2,esk9_1(X2))
    | big_r(esk7_1(X1),esk6_1(X1))
    | ~ big_p(a) ),
    inference(cn,[status(thm)],[c_0_110]) ).

cnf(c_0_152,negated_conjecture,
    ( big_p(X3)
    | big_p(esk6_1(X1))
    | big_r(X3,esk9_1(X3))
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_111]) ).

cnf(c_0_153,negated_conjecture,
    ( big_p(X3)
    | big_r(X3,esk9_1(X3))
    | big_r(X1,esk7_1(X1))
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_112]) ).

cnf(c_0_154,negated_conjecture,
    ( big_p(X3)
    | big_r(X3,esk9_1(X3))
    | big_r(esk7_1(X1),esk6_1(X1))
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_113]) ).

cnf(c_0_155,negated_conjecture,
    ( big_p(X2)
    | big_p(X1)
    | big_p(esk6_1(X1))
    | big_r(esk9_1(X2),esk8_1(X2))
    | ~ big_p(a) ),
    inference(cn,[status(thm)],[c_0_114]) ).

cnf(c_0_156,negated_conjecture,
    ( big_p(X2)
    | big_p(X1)
    | big_r(X1,esk7_1(X1))
    | big_r(esk9_1(X2),esk8_1(X2))
    | ~ big_p(a) ),
    inference(cn,[status(thm)],[c_0_115]) ).

cnf(c_0_157,negated_conjecture,
    ( big_p(X2)
    | big_p(X1)
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_r(esk9_1(X2),esk8_1(X2))
    | ~ big_p(a) ),
    inference(cn,[status(thm)],[c_0_116]) ).

cnf(c_0_158,negated_conjecture,
    ( big_p(X3)
    | big_p(esk6_1(X1))
    | big_r(esk9_1(X3),esk8_1(X3))
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_117]) ).

cnf(c_0_159,negated_conjecture,
    ( big_p(X3)
    | big_r(X1,esk7_1(X1))
    | big_r(esk9_1(X3),esk8_1(X3))
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_118]) ).

cnf(c_0_160,negated_conjecture,
    ( big_p(X3)
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_r(esk9_1(X3),esk8_1(X3))
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_119]) ).

cnf(c_0_161,negated_conjecture,
    ( big_p(X1)
    | big_p(esk6_1(X1))
    | big_p(esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    inference(cn,[status(thm)],[c_0_120]) ).

cnf(c_0_162,negated_conjecture,
    ( big_p(X1)
    | big_p(esk10_1(X2))
    | big_r(X1,esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    inference(cn,[status(thm)],[c_0_121]) ).

cnf(c_0_163,negated_conjecture,
    ( big_p(X1)
    | big_p(esk10_1(X2))
    | big_r(esk7_1(X1),esk6_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    inference(cn,[status(thm)],[c_0_122]) ).

cnf(c_0_164,negated_conjecture,
    ( big_p(esk6_1(X1))
    | big_p(esk10_1(X3))
    | ~ big_p(X4)
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X3,X4)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_123]) ).

cnf(c_0_165,negated_conjecture,
    ( big_p(esk10_1(X3))
    | big_r(X1,esk7_1(X1))
    | ~ big_p(X4)
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X3,X4)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_124]) ).

cnf(c_0_166,negated_conjecture,
    ( big_p(esk10_1(X3))
    | big_r(esk7_1(X1),esk6_1(X1))
    | ~ big_p(X4)
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X3,X4)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_125]) ).

cnf(c_0_167,negated_conjecture,
    ( big_p(X1)
    | big_p(esk6_1(X1))
    | big_r(X2,esk11_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    inference(cn,[status(thm)],[c_0_126]) ).

cnf(c_0_168,negated_conjecture,
    ( big_p(X1)
    | big_r(X2,esk11_1(X2))
    | big_r(X1,esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    inference(cn,[status(thm)],[c_0_127]) ).

cnf(c_0_169,negated_conjecture,
    ( big_p(X1)
    | big_r(X2,esk11_1(X2))
    | big_r(esk7_1(X1),esk6_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    inference(cn,[status(thm)],[c_0_128]) ).

cnf(c_0_170,negated_conjecture,
    ( big_p(esk6_1(X1))
    | big_r(X3,esk11_1(X3))
    | ~ big_p(X4)
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X3,X4)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_129]) ).

cnf(c_0_171,negated_conjecture,
    ( big_r(X3,esk11_1(X3))
    | big_r(X1,esk7_1(X1))
    | ~ big_p(X4)
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X3,X4)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_130]) ).

cnf(c_0_172,negated_conjecture,
    ( big_r(X3,esk11_1(X3))
    | big_r(esk7_1(X1),esk6_1(X1))
    | ~ big_p(X4)
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X3,X4)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_131]) ).

cnf(c_0_173,negated_conjecture,
    ( big_p(X1)
    | big_p(esk6_1(X1))
    | big_r(esk11_1(X2),esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    inference(cn,[status(thm)],[c_0_132]) ).

cnf(c_0_174,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk7_1(X1))
    | big_r(esk11_1(X2),esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    inference(cn,[status(thm)],[c_0_133]) ).

cnf(c_0_175,negated_conjecture,
    ( big_p(X1)
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_r(esk11_1(X2),esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    inference(cn,[status(thm)],[c_0_134]) ).

cnf(c_0_176,negated_conjecture,
    ( big_p(esk6_1(X1))
    | big_r(esk11_1(X3),esk10_1(X3))
    | ~ big_p(X4)
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X3,X4)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_135]) ).

cnf(c_0_177,negated_conjecture,
    ( big_r(X1,esk7_1(X1))
    | big_r(esk11_1(X3),esk10_1(X3))
    | ~ big_p(X4)
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X3,X4)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_136]) ).

cnf(c_0_178,negated_conjecture,
    ( big_r(esk7_1(X1),esk6_1(X1))
    | big_r(esk11_1(X3),esk10_1(X3))
    | ~ big_p(X4)
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X3,X4)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_137]) ).

cnf(c_0_179,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_138,c_0_102]) ).

cnf(c_0_180,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_p(esk5_0)
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_139,c_0_102]) ).

cnf(c_0_181,negated_conjecture,
    ( epred10_0
    | ~ big_r(esk4_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_140]) ).

cnf(c_0_182,negated_conjecture,
    ( big_p(X1)
    | big_p(esk6_1(X1))
    | big_p(X2)
    | big_p(esk8_1(X2))
    | ~ big_p(a)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_183,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred9_0
    | epred8_0
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_141,c_0_142]),c_0_85]) ).

cnf(c_0_184,negated_conjecture,
    ( epred9_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_185,negated_conjecture,
    ( epred16_0
    | epred5_0
    | epred3_0
    | big_p(esk3_0)
    | ~ big_p(esk8_1(esk3_0)) ),
    inference(pm,[status(thm)],[c_0_145,c_0_102]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ epred3_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]),c_0_86]),c_0_90]) ).

cnf(c_0_187,negated_conjecture,
    ( epred16_0
    | epred13_0
    | epred11_0
    | epred9_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0 ),
    inference(pm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_147])]),c_0_71]),c_0_86]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ epred6_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_147])]),c_0_80]),c_0_86]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ epred7_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_147])]),c_0_86]),c_0_8]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ epred11_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_147])]),c_0_2]),c_0_86]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ epred13_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_147])]),c_0_7]),c_0_86]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ epred5_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_147])]),c_0_94]),c_0_90]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ epred5_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_147])]),c_0_94]),c_0_71]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_147])]),c_0_94]),c_0_80]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ epred7_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_147])]),c_0_94]),c_0_8]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ epred11_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_147])]),c_0_94]),c_0_2]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ epred13_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_147])]),c_0_94]),c_0_7]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ epred8_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_147])]),c_0_20]),c_0_90]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ epred8_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_147])]),c_0_71]),c_0_20]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ epred8_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_147])]),c_0_80]),c_0_20]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_147])]),c_0_20]),c_0_8]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ epred11_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_147])]),c_0_2]),c_0_20]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ epred13_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_147])]),c_0_7]),c_0_20]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ epred12_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_147])]),c_0_19]),c_0_90]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ epred12_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_147])]),c_0_71]),c_0_19]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ epred12_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_147])]),c_0_80]),c_0_19]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ epred12_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_147])]),c_0_19]),c_0_8]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_147])]),c_0_2]),c_0_19]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ epred13_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_147])]),c_0_7]),c_0_19]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ epred14_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_147])]),c_0_29]),c_0_90]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ epred14_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_147])]),c_0_29]),c_0_71]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ epred14_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_147])]),c_0_29]),c_0_80]) ).

cnf(c_0_214,negated_conjecture,
    ( ~ epred14_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_147])]),c_0_29]),c_0_8]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ epred14_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_147])]),c_0_29]),c_0_2]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_147])]),c_0_29]),c_0_7]) ).

cnf(c_0_217,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk7_1(X1))
    | big_p(X2)
    | big_p(esk8_1(X2))
    | ~ big_p(a)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_218,negated_conjecture,
    ( big_p(X1)
    | big_r(esk7_1(X1),esk6_1(X1))
    | big_p(X2)
    | big_p(esk8_1(X2))
    | ~ big_p(a)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_219,negated_conjecture,
    ( epred4_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk1_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_15,c_0_79]) ).

cnf(c_0_220,negated_conjecture,
    ( epred4_0
    | big_p(esk1_0)
    | big_p(esk5_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_11,c_0_79]) ).

cnf(c_0_221,negated_conjecture,
    ( epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk4_0,esk11_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_179]),c_0_180]) ).

cnf(c_0_222,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | ~ big_r(esk11_1(esk4_0),X1)
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_181,c_0_72]) ).

cnf(c_0_223,negated_conjecture,
    ( big_p(X2)
    | big_p(X1)
    | big_p(esk6_1(X1))
    | big_p(esk8_1(X2))
    | ~ big_p(a) ),
    inference(cn,[status(thm)],[c_0_182]) ).

cnf(c_0_224,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred9_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_225,negated_conjecture,
    ( epred16_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_185,c_0_144]) ).

cnf(c_0_226,negated_conjecture,
    ( epred16_0
    | epred9_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_186,c_0_187]),c_0_188]),c_0_189]),c_0_190]),c_0_191]),c_0_192]) ).

cnf(c_0_227,negated_conjecture,
    ( epred16_0
    | epred9_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_193,c_0_187]),c_0_194]),c_0_195]),c_0_196]),c_0_197]),c_0_198]) ).

cnf(c_0_228,negated_conjecture,
    ( epred16_0
    | epred9_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_199,c_0_187]),c_0_200]),c_0_201]),c_0_202]),c_0_203]),c_0_204]) ).

cnf(c_0_229,negated_conjecture,
    ( epred16_0
    | epred9_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_205,c_0_187]),c_0_206]),c_0_207]),c_0_208]),c_0_209]),c_0_210]) ).

cnf(c_0_230,negated_conjecture,
    ( epred16_0
    | epred9_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_211,c_0_187]),c_0_212]),c_0_213]),c_0_214]),c_0_215]),c_0_216]) ).

cnf(c_0_231,negated_conjecture,
    ( big_p(X2)
    | big_p(X1)
    | big_p(esk8_1(X2))
    | big_r(X1,esk7_1(X1))
    | ~ big_p(a) ),
    inference(cn,[status(thm)],[c_0_217]) ).

cnf(c_0_232,negated_conjecture,
    ( big_p(X2)
    | big_p(X1)
    | big_p(esk8_1(X2))
    | big_r(esk7_1(X1),esk6_1(X1))
    | ~ big_p(a) ),
    inference(cn,[status(thm)],[c_0_218]) ).

cnf(c_0_233,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_219,c_0_89]) ).

cnf(c_0_234,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_p(esk5_0)
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_220,c_0_89]) ).

cnf(c_0_235,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred5_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_r(esk11_1(esk4_0),X1)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_181,c_0_221]) ).

cnf(c_0_236,negated_conjecture,
    ( epred14_0
    | epred5_0
    | epred3_0
    | big_r(esk11_1(esk4_0),esk10_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_179]),c_0_180]) ).

cnf(c_0_237,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_222,c_0_83]),c_0_84]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_147])]),c_0_103]),c_0_90]) ).

cnf(c_0_239,negated_conjecture,
    ( epred16_0
    | epred9_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),c_0_227]),c_0_228]),c_0_229]),c_0_230]) ).

cnf(c_0_240,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred9_0
    | epred8_0
    | epred6_0
    | epred4_0
    | epred2_0
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_183,c_0_107]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ epred4_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_147])]),c_0_71]),c_0_103]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ epred6_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_147])]),c_0_80]),c_0_103]) ).

cnf(c_0_243,negated_conjecture,
    ( epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk4_0,esk7_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_233]),c_0_234]) ).

cnf(c_0_244,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | ~ big_r(esk7_1(esk4_0),X1)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_181,c_0_56]) ).

cnf(c_0_245,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred5_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk10_1(esk4_0))
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_246,negated_conjecture,
    ( epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_179]),c_0_180]) ).

cnf(c_0_247,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_237,c_0_85]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ big_r(X1,X2)
    | ~ big_r(esk1_0,X1)
    | ~ big_p(X2)
    | ~ big_p(esk3_0)
    | ~ big_r(X3,X4)
    | ~ big_r(esk4_0,X3)
    | ~ big_p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_249,negated_conjecture,
    ( epred16_0
    | epred9_0
    | ~ epred2_0 ),
    inference(pm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_250,negated_conjecture,
    ( epred16_0
    | epred9_0
    | epred6_0
    | epred4_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_240,c_0_149]),c_0_228]),c_0_229]),c_0_230]) ).

cnf(c_0_251,negated_conjecture,
    ( epred16_0
    | epred9_0
    | ~ epred4_0 ),
    inference(pm,[status(thm)],[c_0_241,c_0_239]) ).

cnf(c_0_252,negated_conjecture,
    ( epred16_0
    | epred9_0
    | ~ epred6_0 ),
    inference(pm,[status(thm)],[c_0_242,c_0_239]) ).

cnf(c_0_253,negated_conjecture,
    ( epred11_0
    | epred10_0
    | epred6_0
    | epred4_0
    | big_p(esk1_0)
    | ~ big_r(esk7_1(esk4_0),X1)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_181,c_0_243]) ).

cnf(c_0_254,negated_conjecture,
    ( epred13_0
    | epred6_0
    | epred4_0
    | big_r(esk7_1(esk4_0),esk6_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_233]),c_0_234]) ).

cnf(c_0_255,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_244,c_0_57]) ).

cnf(c_0_256,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_245,c_0_246]),c_0_247]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_248,c_0_70]),c_0_140]) ).

cnf(c_0_258,negated_conjecture,
    ( epred16_0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_249,c_0_250]),c_0_251]),c_0_252]) ).

cnf(c_0_259,negated_conjecture,
    ( big_p(esk6_1(X1))
    | big_p(X3)
    | big_p(esk8_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_260,negated_conjecture,
    ( big_r(X1,esk7_1(X1))
    | big_p(X3)
    | big_p(esk8_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_261,negated_conjecture,
    ( big_r(esk7_1(X1),esk6_1(X1))
    | big_p(X3)
    | big_p(esk8_1(X3))
    | ~ big_p(a)
    | ~ big_r(X1,X2)
    | ~ big_p(X2)
    | ~ big_p(a) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_262,plain,
    ( ~ epred17_0
  <=> ! [X2,X1] :
        ( big_r(esk4_0,esk5_0)
        | ~ big_p(X2)
        | ~ big_r(X1,X2)
        | ~ big_r(esk1_0,X1) ) ),
    introduced(definition) ).

cnf(c_0_263,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred6_0
    | epred4_0
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_253,c_0_254]),c_0_255]) ).

cnf(c_0_264,negated_conjecture,
    ( epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_233]),c_0_234]) ).

cnf(c_0_265,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred7_0
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_244,c_0_68]),c_0_46]) ).

cnf(c_0_266,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_256,c_0_144]),c_0_247]) ).

cnf(c_0_267,negated_conjecture,
    ( epred16_0
    | ~ epred10_0 ),
    inference(pm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_268,negated_conjecture,
    ( big_p(X3)
    | big_p(esk6_1(X1))
    | big_p(esk8_1(X3))
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_259]) ).

cnf(c_0_269,negated_conjecture,
    ( big_p(X3)
    | big_p(esk8_1(X3))
    | big_r(X1,esk7_1(X1))
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_260]) ).

cnf(c_0_270,negated_conjecture,
    ( big_p(X3)
    | big_p(esk8_1(X3))
    | big_r(esk7_1(X1),esk6_1(X1))
    | ~ big_p(X2)
    | ~ big_p(a)
    | ~ big_r(X1,X2) ),
    inference(cn,[status(thm)],[c_0_261]) ).

fof(c_0_271,plain,
    ( ~ epred19_0
  <=> ! [X2,X1] :
        ( big_r(esk1_0,esk2_0)
        | ~ big_p(X2)
        | ~ big_p(esk1_0)
        | ~ big_r(X1,X2)
        | ~ big_r(esk3_0,X1) ) ),
    introduced(definition) ).

cnf(c_0_272,negated_conjecture,
    ( epred17_0
    | big_r(esk4_0,esk5_0)
    | ~ big_r(esk1_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_262]) ).

cnf(c_0_273,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_263,c_0_98]) ).

cnf(c_0_274,negated_conjecture,
    ( epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk6_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_264,c_0_98]) ).

cnf(c_0_275,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred7_0
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_265,c_0_69]) ).

cnf(c_0_276,negated_conjecture,
    ( epred16_0
    | epred14_0
    | epred12_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_266,c_0_225]),c_0_267]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ epred7_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_147])]),c_0_103]),c_0_8]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ epred11_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_147])]),c_0_2]),c_0_103]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ epred13_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_147])]),c_0_7]),c_0_103]) ).

fof(c_0_280,plain,
    ( ~ epred15_0
  <=> ! [X2,X1] :
        ( big_p(esk5_0)
        | ~ big_p(X2)
        | ~ big_r(X1,X2)
        | ~ big_r(esk1_0,X1) ) ),
    introduced(definition) ).

cnf(c_0_281,negated_conjecture,
    ( epred19_0
    | big_r(esk1_0,esk2_0)
    | ~ big_r(esk3_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(esk1_0)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_271]) ).

cnf(c_0_282,negated_conjecture,
    ( big_p(esk2_0)
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk3_0,X1)
    | ~ big_p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_283,negated_conjecture,
    ( big_p(esk2_0)
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk3_0,X1)
    | ~ big_p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_284,negated_conjecture,
    ( epred17_0
    | epred4_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk1_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_272,c_0_79]) ).

cnf(c_0_285,negated_conjecture,
    ( big_r(esk4_0,esk5_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk1_0,X1)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_r(esk3_0,X3)
    | ~ big_p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_286,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_273,c_0_274]),c_0_275]) ).

cnf(c_0_287,negated_conjecture,
    ( epred16_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_238,c_0_276]),c_0_186]),c_0_193]),c_0_199]),c_0_205]),c_0_211]) ).

cnf(c_0_288,negated_conjecture,
    ( epred16_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_241,c_0_276]),c_0_188]),c_0_194]),c_0_200]),c_0_206]),c_0_212]) ).

cnf(c_0_289,negated_conjecture,
    ( epred16_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_242,c_0_276]),c_0_189]),c_0_195]),c_0_201]),c_0_207]),c_0_213]) ).

cnf(c_0_290,negated_conjecture,
    ( epred16_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_277,c_0_276]),c_0_190]),c_0_196]),c_0_202]),c_0_208]),c_0_214]) ).

cnf(c_0_291,negated_conjecture,
    ( epred16_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_278,c_0_276]),c_0_191]),c_0_197]),c_0_203]),c_0_209]),c_0_215]) ).

cnf(c_0_292,negated_conjecture,
    ( epred16_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_279,c_0_276]),c_0_192]),c_0_198]),c_0_204]),c_0_210]),c_0_216]) ).

cnf(c_0_293,negated_conjecture,
    ( epred15_0
    | big_p(esk5_0)
    | ~ big_r(esk1_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_280]) ).

cnf(c_0_294,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk3_0,X1)
    | ~ big_p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_295,negated_conjecture,
    ( epred19_0
    | epred4_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_r(esk7_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_281,c_0_79]) ).

fof(c_0_296,plain,
    ( ~ epred20_0
  <=> ! [X2,X1] :
        ( ~ big_p(X2)
        | ~ big_r(X1,X2)
        | ~ big_r(esk1_0,X1) ) ),
    introduced(definition) ).

cnf(c_0_297,negated_conjecture,
    ( epred4_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk2_0)
    | ~ big_r(esk7_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_282,c_0_79]),c_0_10]) ).

cnf(c_0_298,negated_conjecture,
    ( epred4_0
    | big_p(esk2_0)
    | big_p(esk5_0)
    | ~ big_r(esk7_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_283,c_0_79]),c_0_6]) ).

cnf(c_0_299,negated_conjecture,
    ( epred17_0
    | epred6_0
    | epred4_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_284,c_0_89]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ epred17_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_285,c_0_262]),c_0_81]) ).

cnf(c_0_301,negated_conjecture,
    epred16_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_286,c_0_149]),c_0_287]),c_0_288]),c_0_289]),c_0_290]),c_0_267]),c_0_291]),c_0_292]) ).

cnf(c_0_302,negated_conjecture,
    ( epred15_0
    | epred4_0
    | big_p(esk1_0)
    | big_p(esk5_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_293,c_0_79]) ).

cnf(c_0_303,negated_conjecture,
    ( big_p(esk5_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk1_0,X1)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_r(esk3_0,X3)
    | ~ big_p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_304,negated_conjecture,
    ( epred3_0
    | big_r(esk1_0,esk2_0)
    | big_r(esk4_0,esk5_0)
    | ~ big_r(esk9_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_294,c_0_93]),c_0_9]) ).

cnf(c_0_305,negated_conjecture,
    ( epred3_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk2_0)
    | ~ big_r(esk9_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_282,c_0_93]),c_0_10]) ).

cnf(c_0_306,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk3_0,X1)
    | ~ big_p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_307,negated_conjecture,
    ( epred19_0
    | epred6_0
    | epred4_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_295,c_0_89]) ).

cnf(c_0_308,negated_conjecture,
    ( epred20_0
    | ~ big_r(esk1_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_296]) ).

cnf(c_0_309,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk2_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_297,c_0_89]),c_0_10]) ).

cnf(c_0_310,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_p(esk5_0)
    | big_p(esk2_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_298,c_0_89]),c_0_6]) ).

cnf(c_0_311,negated_conjecture,
    ( epred17_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk4_0,esk7_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk5_0) ),
    inference(pm,[status(thm)],[c_0_4,c_0_299]) ).

cnf(c_0_312,negated_conjecture,
    ~ epred17_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_301])]) ).

cnf(c_0_313,negated_conjecture,
    ( epred15_0
    | epred6_0
    | epred4_0
    | big_p(esk5_0)
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_302,c_0_89]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ epred16_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_303,c_0_280]),c_0_81]) ).

cnf(c_0_315,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_r(esk4_0,esk5_0)
    | big_r(esk1_0,esk2_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_304,c_0_102]),c_0_9]) ).

cnf(c_0_316,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk2_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_305,c_0_102]),c_0_10]) ).

cnf(c_0_317,negated_conjecture,
    ( epred3_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk5_0)
    | ~ big_r(esk9_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_306,c_0_93]),c_0_5]) ).

cnf(c_0_318,negated_conjecture,
    ( epred3_0
    | big_p(esk2_0)
    | big_p(esk5_0)
    | ~ big_r(esk9_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_283,c_0_93]),c_0_6]) ).

cnf(c_0_319,negated_conjecture,
    ( epred19_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk1_0,esk7_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_307]),c_0_79]) ).

cnf(c_0_320,negated_conjecture,
    ( epred20_0
    | epred4_0
    | big_p(esk1_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_308,c_0_79]) ).

cnf(c_0_321,negated_conjecture,
    ( epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk4_0,esk7_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_309]),c_0_310]) ).

cnf(c_0_322,negated_conjecture,
    ( epred11_0
    | epred10_0
    | epred6_0
    | epred4_0
    | big_p(esk1_0)
    | ~ big_r(esk7_1(esk4_0),X1)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk5_0)
    | ~ big_p(X1) ),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_181,c_0_311]),c_0_312]) ).

cnf(c_0_323,negated_conjecture,
    ( epred17_0
    | epred13_0
    | epred6_0
    | epred4_0
    | big_r(esk7_1(esk4_0),esk6_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk5_0) ),
    inference(pm,[status(thm)],[c_0_13,c_0_299]) ).

cnf(c_0_324,negated_conjecture,
    ( epred15_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0)
    | big_p(esk5_0) ),
    inference(pm,[status(thm)],[c_0_313,c_0_98]) ).

cnf(c_0_325,negated_conjecture,
    ~ epred15_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_301])]) ).

cnf(c_0_326,negated_conjecture,
    ( epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk1_0,esk11_1(esk1_0))
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_315]),c_0_316]) ).

cnf(c_0_327,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk5_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_317,c_0_102]),c_0_5]) ).

cnf(c_0_328,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_p(esk5_0)
    | big_p(esk2_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_318,c_0_102]),c_0_6]) ).

cnf(c_0_329,negated_conjecture,
    ( epred17_0
    | epred3_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk1_0)
    | ~ big_r(esk9_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_272,c_0_93]) ).

fof(c_0_330,plain,
    ( ~ epred18_0
  <=> ! [X2,X1] :
        ( big_p(esk2_0)
        | ~ big_p(X2)
        | ~ big_p(esk1_0)
        | ~ big_r(X1,X2)
        | ~ big_r(esk3_0,X1) ) ),
    introduced(definition) ).

cnf(c_0_331,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_p(esk3_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_308,c_0_319]) ).

cnf(c_0_332,negated_conjecture,
    ( epred19_0
    | epred13_0
    | epred6_0
    | epred4_0
    | big_r(esk7_1(esk1_0),esk6_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_307]),c_0_89]) ).

cnf(c_0_333,negated_conjecture,
    ( epred20_0
    | epred13_0
    | epred11_0
    | epred7_0
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_308,c_0_87]) ).

cnf(c_0_334,negated_conjecture,
    ( epred20_0
    | epred6_0
    | epred4_0
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_320,c_0_89]) ).

cnf(c_0_335,negated_conjecture,
    ( epred11_0
    | epred10_0
    | epred6_0
    | epred4_0
    | big_p(esk2_0)
    | ~ big_r(esk7_1(esk4_0),X1)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_181,c_0_321]) ).

cnf(c_0_336,negated_conjecture,
    ( epred13_0
    | epred6_0
    | epred4_0
    | big_r(esk7_1(esk4_0),esk6_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_309]),c_0_310]) ).

cnf(c_0_337,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred6_0
    | epred4_0
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk5_0) ),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_322,c_0_323]),c_0_312]) ).

cnf(c_0_338,negated_conjecture,
    ( epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk5_0)
    | big_p(esk1_0) ),
    inference(sr,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_339,negated_conjecture,
    ( epred17_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk5_0) ),
    inference(pm,[status(thm)],[c_0_14,c_0_299]) ).

cnf(c_0_340,negated_conjecture,
    ( epred17_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk4_0,esk5_0)
    | ~ big_r(esk11_1(esk1_0),X1)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_272,c_0_326]) ).

cnf(c_0_341,negated_conjecture,
    ( epred14_0
    | epred5_0
    | epred3_0
    | big_r(esk11_1(esk1_0),esk10_1(esk1_0))
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_315]),c_0_316]) ).

cnf(c_0_342,negated_conjecture,
    ( epred8_0
    | epred5_0
    | epred3_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk10_1(esk1_0))
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_315]),c_0_316]) ).

cnf(c_0_343,negated_conjecture,
    ( epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_327]),c_0_328]) ).

cnf(c_0_344,negated_conjecture,
    ( epred17_0
    | epred5_0
    | epred3_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_329,c_0_102]) ).

cnf(c_0_345,negated_conjecture,
    ( epred18_0
    | big_p(esk2_0)
    | ~ big_r(esk3_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(esk1_0)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_330]) ).

cnf(c_0_346,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred13_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_p(esk3_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk2_0) ),
    inference(pm,[status(thm)],[c_0_331,c_0_332]) ).

cnf(c_0_347,negated_conjecture,
    ( epred19_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_14,c_0_307]) ).

cnf(c_0_348,negated_conjecture,
    ( epred20_0
    | epred13_0
    | epred11_0
    | epred7_0
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_333,c_0_96]),c_0_69]) ).

cnf(c_0_349,negated_conjecture,
    ( epred20_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_334,c_0_98]) ).

cnf(c_0_350,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred6_0
    | epred4_0
    | big_p(esk2_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_335,c_0_336]) ).

cnf(c_0_351,negated_conjecture,
    ( epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_309]),c_0_310]) ).

cnf(c_0_352,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk4_0)) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_337,c_0_98]),c_0_338]) ).

cnf(c_0_353,negated_conjecture,
    ( epred17_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk6_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk5_0) ),
    inference(pm,[status(thm)],[c_0_339,c_0_98]) ).

cnf(c_0_354,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk1_0) ),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_340,c_0_341]),c_0_312]) ).

cnf(c_0_355,negated_conjecture,
    ( epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk1_0,esk11_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_327]),c_0_328]) ).

cnf(c_0_356,negated_conjecture,
    ( epred12_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_r(esk4_0,esk11_1(esk4_0))
    | big_p(esk10_1(esk1_0))
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_342]),c_0_343]) ).

cnf(c_0_357,negated_conjecture,
    ( epred17_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk4_0,esk11_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk5_0) ),
    inference(pm,[status(thm)],[c_0_28,c_0_344]) ).

cnf(c_0_358,negated_conjecture,
    ( epred15_0
    | epred3_0
    | big_p(esk1_0)
    | big_p(esk5_0)
    | ~ big_r(esk9_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_293,c_0_93]) ).

cnf(c_0_359,negated_conjecture,
    ( epred18_0
    | epred4_0
    | big_p(esk3_0)
    | big_p(esk2_0)
    | ~ big_r(esk7_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_345,c_0_79]) ).

cnf(c_0_360,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_346,c_0_347]),c_0_348]) ).

cnf(c_0_361,negated_conjecture,
    ( epred20_0
    | epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_362,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk2_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_335,c_0_68]),c_0_350]),c_0_351]) ).

cnf(c_0_363,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_352,c_0_353]),c_0_312]),c_0_338]) ).

cnf(c_0_364,negated_conjecture,
    ( epred4_0
    | big_r(esk1_0,esk2_0)
    | big_r(esk4_0,esk5_0)
    | ~ big_r(esk7_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_294,c_0_79]),c_0_9]) ).

cnf(c_0_365,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk4_0,esk11_1(esk4_0))
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_28,c_0_354]) ).

cnf(c_0_366,negated_conjecture,
    ( epred15_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_p(esk5_0)
    | ~ big_r(esk11_1(esk1_0),X1)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_293,c_0_355]) ).

cnf(c_0_367,negated_conjecture,
    ( epred14_0
    | epred5_0
    | epred3_0
    | big_r(esk11_1(esk1_0),esk10_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_327]),c_0_328]) ).

cnf(c_0_368,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk1_0))
    | ~ big_r(esk11_1(esk4_0),X1)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_181,c_0_356]) ).

cnf(c_0_369,negated_conjecture,
    ( epred14_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_r(esk11_1(esk4_0),esk10_1(esk4_0))
    | big_p(esk10_1(esk1_0))
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_342]),c_0_343]) ).

cnf(c_0_370,negated_conjecture,
    ( epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk1_0))
    | big_p(esk10_1(esk4_0))
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_342]),c_0_343]) ).

cnf(c_0_371,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred5_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_r(esk11_1(esk4_0),X1)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk5_0)
    | ~ big_p(X1) ),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_181,c_0_357]),c_0_312]) ).

cnf(c_0_372,negated_conjecture,
    ( epred17_0
    | epred14_0
    | epred5_0
    | epred3_0
    | big_r(esk11_1(esk4_0),esk10_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk5_0) ),
    inference(pm,[status(thm)],[c_0_39,c_0_344]) ).

cnf(c_0_373,negated_conjecture,
    ( epred15_0
    | epred5_0
    | epred3_0
    | big_p(esk5_0)
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_358,c_0_102]) ).

cnf(c_0_374,negated_conjecture,
    ( epred19_0
    | epred3_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_r(esk9_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_281,c_0_93]) ).

cnf(c_0_375,negated_conjecture,
    ( epred18_0
    | epred6_0
    | epred4_0
    | big_p(esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_359,c_0_89]) ).

cnf(c_0_376,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_360,c_0_98]),c_0_349]),c_0_361]) ).

cnf(c_0_377,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_362,c_0_98]),c_0_363]),c_0_286]) ).

cnf(c_0_378,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_r(esk4_0,esk5_0)
    | big_r(esk1_0,esk2_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_364,c_0_89]),c_0_9]) ).

cnf(c_0_379,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred5_0
    | epred3_0
    | ~ big_r(esk11_1(esk4_0),X1)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_181,c_0_365]) ).

cnf(c_0_380,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk11_1(esk4_0),esk10_1(esk4_0))
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_39,c_0_354]) ).

cnf(c_0_381,negated_conjecture,
    ( epred15_0
    | epred14_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_p(esk5_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_382,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk1_0))
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_368,c_0_369]),c_0_370]) ).

cnf(c_0_383,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk4_0))
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_354]),c_0_370]) ).

cnf(c_0_384,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred5_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk10_1(esk4_0))
    | ~ big_p(esk5_0) ),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_371,c_0_372]),c_0_312]) ).

cnf(c_0_385,negated_conjecture,
    ( epred17_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk4_0))
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk5_0) ),
    inference(pm,[status(thm)],[c_0_30,c_0_344]) ).

cnf(c_0_386,negated_conjecture,
    ( epred15_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk1_0)
    | big_p(esk5_0) ),
    inference(pm,[status(thm)],[c_0_373,c_0_144]) ).

cnf(c_0_387,negated_conjecture,
    ( epred19_0
    | epred5_0
    | epred3_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_374,c_0_102]) ).

cnf(c_0_388,negated_conjecture,
    ( epred18_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk3_0)
    | big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_375,c_0_98]) ).

cnf(c_0_389,negated_conjecture,
    ( big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk3_0,X1)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_r(esk4_0,X3)
    | ~ big_p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_390,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred13_0
    | epred11_0
    | epred10_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0 ),
    inference(pm,[status(thm)],[c_0_376,c_0_377]) ).

cnf(c_0_391,negated_conjecture,
    ( epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk1_0,esk7_1(esk1_0))
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_378]),c_0_79]) ).

cnf(c_0_392,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred5_0
    | epred3_0
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk10_1(esk4_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_379,c_0_380]) ).

cnf(c_0_393,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk5_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_381,c_0_382]),c_0_325]) ).

cnf(c_0_394,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk4_0))
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_381,c_0_370]),c_0_325]),c_0_383]) ).

cnf(c_0_395,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0))
    | ~ big_p(esk5_0) ),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_384,c_0_385]),c_0_312]) ).

cnf(c_0_396,negated_conjecture,
    ( epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk5_0)
    | big_p(esk1_0) ),
    inference(sr,[status(thm)],[c_0_386,c_0_325]) ).

cnf(c_0_397,negated_conjecture,
    ( epred19_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk1_0,esk11_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_28,c_0_387]) ).

cnf(c_0_398,negated_conjecture,
    ( epred20_0
    | epred18_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk2_0)
    | big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_388,c_0_349]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ epred18_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_389,c_0_330]),c_0_140]) ).

cnf(c_0_400,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_205,c_0_390]),c_0_206]),c_0_207]),c_0_208]),c_0_209]),c_0_210]) ).

cnf(c_0_401,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_211,c_0_390]),c_0_212]),c_0_213]),c_0_214]),c_0_215]),c_0_216]) ).

cnf(c_0_402,negated_conjecture,
    ( epred17_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk4_0,esk5_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_272,c_0_391]) ).

cnf(c_0_403,negated_conjecture,
    ( epred13_0
    | epred6_0
    | epred4_0
    | big_r(esk7_1(esk1_0),esk6_1(esk1_0))
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_378]),c_0_89]) ).

cnf(c_0_404,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_392,c_0_382]),c_0_393]),c_0_394]) ).

cnf(c_0_405,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_395,c_0_144]),c_0_396]) ).

cnf(c_0_406,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_p(esk3_0)
    | ~ big_r(esk11_1(esk1_0),X1)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_308,c_0_397]) ).

cnf(c_0_407,negated_conjecture,
    ( epred19_0
    | epred14_0
    | epred5_0
    | epred3_0
    | big_r(esk11_1(esk1_0),esk10_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_39,c_0_387]) ).

cnf(c_0_408,negated_conjecture,
    ( epred20_0
    | epred14_0
    | epred12_0
    | epred8_0
    | ~ big_r(esk11_1(esk1_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_308,c_0_100]) ).

cnf(c_0_409,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_376,c_0_398]),c_0_361]) ).

cnf(c_0_410,negated_conjecture,
    ( epred20_0
    | epred19_0
    | ~ epred18_0
    | ~ epred12_0 ),
    inference(pm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_411,negated_conjecture,
    ( epred20_0
    | epred19_0
    | ~ epred18_0
    | ~ epred14_0 ),
    inference(pm,[status(thm)],[c_0_399,c_0_401]) ).

cnf(c_0_412,negated_conjecture,
    ( epred20_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_r(esk9_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_308,c_0_93]) ).

cnf(c_0_413,negated_conjecture,
    ( epred18_0
    | epred3_0
    | big_p(esk3_0)
    | big_p(esk2_0)
    | ~ big_r(esk9_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_345,c_0_93]) ).

cnf(c_0_414,negated_conjecture,
    ( epred4_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk5_0)
    | ~ big_r(esk7_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_306,c_0_79]),c_0_5]) ).

cnf(c_0_415,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk4_0,esk5_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk2_0) ),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_402,c_0_403]),c_0_312]) ).

cnf(c_0_416,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_404,c_0_144]),c_0_405]),c_0_266]) ).

cnf(c_0_417,negated_conjecture,
    ( epred12_0
    | epred5_0
    | epred3_0
    | big_r(esk4_0,esk11_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_316]),c_0_328]) ).

cnf(c_0_418,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred14_0
    | epred12_0
    | epred5_0
    | epred3_0
    | big_p(esk3_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk10_1(esk1_0))
    | ~ big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_419,negated_conjecture,
    ( epred19_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_30,c_0_387]) ).

cnf(c_0_420,negated_conjecture,
    ( epred20_0
    | epred14_0
    | epred12_0
    | epred8_0
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_408,c_0_142]),c_0_85]) ).

cnf(c_0_421,negated_conjecture,
    ( epred20_0
    | epred19_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_205,c_0_409]),c_0_206]),c_0_207]),c_0_208]),c_0_209]),c_0_210]),c_0_410]) ).

cnf(c_0_422,negated_conjecture,
    ( epred20_0
    | epred19_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_211,c_0_409]),c_0_212]),c_0_213]),c_0_214]),c_0_215]),c_0_216]),c_0_411]) ).

cnf(c_0_423,negated_conjecture,
    ( epred20_0
    | epred5_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_p(esk8_1(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_412,c_0_102]) ).

cnf(c_0_424,negated_conjecture,
    ( epred18_0
    | epred5_0
    | epred3_0
    | big_p(esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_413,c_0_102]) ).

cnf(c_0_425,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk5_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_414,c_0_89]),c_0_5]) ).

cnf(c_0_426,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk4_0,esk7_1(esk4_0))
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0) ),
    inference(pm,[status(thm)],[c_0_4,c_0_415]) ).

cnf(c_0_427,negated_conjecture,
    ( epred10_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_241,c_0_416]),c_0_188]),c_0_194]),c_0_200]),c_0_206]),c_0_212]) ).

cnf(c_0_428,negated_conjecture,
    ( epred10_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_242,c_0_416]),c_0_189]),c_0_195]),c_0_201]),c_0_207]),c_0_213]) ).

cnf(c_0_429,negated_conjecture,
    ( epred10_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_278,c_0_416]),c_0_191]),c_0_197]),c_0_203]),c_0_209]),c_0_215]) ).

cnf(c_0_430,negated_conjecture,
    ( epred10_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_279,c_0_416]),c_0_192]),c_0_198]),c_0_204]),c_0_210]),c_0_216]) ).

cnf(c_0_431,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred5_0
    | epred3_0
    | big_p(esk2_0)
    | ~ big_r(esk11_1(esk4_0),X1)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_181,c_0_417]) ).

cnf(c_0_432,negated_conjecture,
    ( epred14_0
    | epred5_0
    | epred3_0
    | big_r(esk11_1(esk4_0),esk10_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_316]),c_0_328]) ).

cnf(c_0_433,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred8_0
    | epred5_0
    | epred3_0
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_418,c_0_419]),c_0_420]),c_0_421]),c_0_422]) ).

cnf(c_0_434,negated_conjecture,
    ( epred20_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_423,c_0_144]) ).

cnf(c_0_435,negated_conjecture,
    ( epred18_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0)
    | big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_424,c_0_144]) ).

cnf(c_0_436,negated_conjecture,
    ( epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk1_0,esk7_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_425]),c_0_79]) ).

cnf(c_0_437,negated_conjecture,
    ( epred10_0
    | ~ big_r(esk7_1(esk4_0),X1)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_181,c_0_426]),c_0_427]),c_0_428]),c_0_429]),c_0_430]) ).

cnf(c_0_438,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred5_0
    | epred3_0
    | big_p(esk2_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk10_1(esk4_0))
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_431,c_0_432]) ).

cnf(c_0_439,negated_conjecture,
    ( epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk10_1(esk4_0))
    | big_p(esk2_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_316]),c_0_328]) ).

cnf(c_0_440,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_433,c_0_144]),c_0_434]) ).

cnf(c_0_441,negated_conjecture,
    ( epred20_0
    | epred18_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk2_0)
    | big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_435,c_0_434]) ).

cnf(c_0_442,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_186,c_0_409]),c_0_188]),c_0_189]),c_0_190]),c_0_191]),c_0_192]) ).

cnf(c_0_443,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_193,c_0_409]),c_0_194]),c_0_195]),c_0_196]),c_0_197]),c_0_198]) ).

cnf(c_0_444,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_199,c_0_409]),c_0_200]),c_0_201]),c_0_202]),c_0_203]),c_0_204]) ).

cnf(c_0_445,negated_conjecture,
    ( epred15_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_p(esk5_0)
    | ~ big_r(esk7_1(esk1_0),X1)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_293,c_0_436]) ).

cnf(c_0_446,negated_conjecture,
    ( epred13_0
    | epred6_0
    | epred4_0
    | big_r(esk7_1(esk1_0),esk6_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_425]),c_0_89]) ).

cnf(c_0_447,negated_conjecture,
    ( epred10_0
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_437,c_0_57]),c_0_47]),c_0_25]),c_0_255]),c_0_429]),c_0_430]) ).

cnf(c_0_448,negated_conjecture,
    ( epred10_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_277,c_0_416]),c_0_190]),c_0_196]),c_0_202]),c_0_208]),c_0_214]) ).

cnf(c_0_449,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | big_p(esk2_0)
    | ~ big_p(esk8_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(pm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_450,negated_conjecture,
    ( epred20_0
    | epred13_0
    | epred11_0
    | epred7_0
    | epred5_0
    | epred3_0
    | epred1_0
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_348,c_0_434]) ).

cnf(c_0_451,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | epred1_0
    | big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_440,c_0_441]),c_0_442]),c_0_443]),c_0_444]) ).

cnf(c_0_452,negated_conjecture,
    ( epred7_0
    | epred6_0
    | epred4_0
    | big_r(esk4_0,esk5_0)
    | big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_378]),c_0_309]) ).

cnf(c_0_453,negated_conjecture,
    ( epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk1_0))
    | big_p(esk5_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_425]),c_0_310]) ).

cnf(c_0_454,negated_conjecture,
    ( epred15_0
    | epred13_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_p(esk5_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk2_0) ),
    inference(pm,[status(thm)],[c_0_445,c_0_446]) ).

cnf(c_0_455,negated_conjecture,
    ( epred10_0
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_437,c_0_323]),c_0_312]),c_0_427]),c_0_428]),c_0_430]) ).

cnf(c_0_456,negated_conjecture,
    ( epred10_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_238,c_0_416]),c_0_186]),c_0_193]),c_0_199]),c_0_205]),c_0_211]) ).

cnf(c_0_457,negated_conjecture,
    ( epred10_0
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_447,c_0_69]),c_0_275]),c_0_448]),c_0_429]),c_0_430]) ).

cnf(c_0_458,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_449,c_0_144]),c_0_405]),c_0_266]) ).

cnf(c_0_459,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_186,c_0_390]),c_0_188]),c_0_189]),c_0_190]),c_0_191]),c_0_192]) ).

cnf(c_0_460,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_193,c_0_390]),c_0_194]),c_0_195]),c_0_196]),c_0_197]),c_0_198]) ).

cnf(c_0_461,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_199,c_0_390]),c_0_200]),c_0_201]),c_0_202]),c_0_203]),c_0_204]) ).

cnf(c_0_462,negated_conjecture,
    ( epred20_0
    | epred14_0
    | epred12_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_420,c_0_434]) ).

cnf(c_0_463,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | epred13_0
    | epred11_0
    | epred7_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_450,c_0_451]),c_0_442]),c_0_443]) ).

cnf(c_0_464,negated_conjecture,
    ( epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_r(esk4_0,esk7_1(esk4_0))
    | big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_4,c_0_452]),c_0_453]) ).

cnf(c_0_465,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk4_0))
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0) ),
    inference(pm,[status(thm)],[c_0_14,c_0_415]) ).

cnf(c_0_466,negated_conjecture,
    ( epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk1_0))
    | big_p(esk6_1(esk4_0))
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_452]),c_0_453]) ).

cnf(c_0_467,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk5_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_454,c_0_453]),c_0_325]),c_0_310]) ).

cnf(c_0_468,negated_conjecture,
    ( epred10_0
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_455,c_0_98]),c_0_456]) ).

cnf(c_0_469,negated_conjecture,
    ( epred10_0
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_457,c_0_363]),c_0_456]),c_0_427]),c_0_428]),c_0_448]),c_0_429]),c_0_430]) ).

cnf(c_0_470,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | epred1_0
    | big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_440,c_0_458]),c_0_421]),c_0_422]),c_0_459]),c_0_460]),c_0_461]) ).

cnf(c_0_471,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_462,c_0_451]),c_0_442]),c_0_443]),c_0_444]),c_0_421]),c_0_422]) ).

cnf(c_0_472,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | epred13_0
    | epred11_0
    | epred7_0
    | ~ epred2_0 ),
    inference(pm,[status(thm)],[c_0_238,c_0_463]) ).

cnf(c_0_473,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | epred13_0
    | epred11_0
    | epred7_0
    | ~ epred4_0 ),
    inference(pm,[status(thm)],[c_0_241,c_0_463]) ).

cnf(c_0_474,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | epred13_0
    | epred11_0
    | epred7_0
    | ~ epred6_0 ),
    inference(pm,[status(thm)],[c_0_242,c_0_463]) ).

cnf(c_0_475,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred6_0
    | epred4_0
    | big_r(esk7_1(esk4_0),esk6_1(esk4_0))
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0) ),
    inference(pm,[status(thm)],[c_0_13,c_0_415]) ).

cnf(c_0_476,negated_conjecture,
    ( epred11_0
    | epred10_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk1_0))
    | ~ big_r(esk7_1(esk4_0),X1)
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(pm,[status(thm)],[c_0_181,c_0_464]) ).

cnf(c_0_477,negated_conjecture,
    ( epred13_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_r(esk7_1(esk4_0),esk6_1(esk4_0))
    | big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_452]),c_0_453]) ).

cnf(c_0_478,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk4_0))
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_465,c_0_466]),c_0_351]),c_0_467]) ).

cnf(c_0_479,negated_conjecture,
    ( epred10_0
    | big_p(esk1_0)
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_468,c_0_98]),c_0_469]),c_0_456]) ).

cnf(c_0_480,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_266,c_0_470]),c_0_459]),c_0_460]),c_0_461]),c_0_421]),c_0_422]) ).

cnf(c_0_481,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | ~ epred7_0 ),
    inference(pm,[status(thm)],[c_0_277,c_0_471]) ).

cnf(c_0_482,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | epred13_0
    | epred11_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_472,c_0_409]),c_0_473]),c_0_474]) ).

cnf(c_0_483,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | ~ epred11_0 ),
    inference(pm,[status(thm)],[c_0_278,c_0_471]) ).

cnf(c_0_484,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0
    | ~ epred13_0 ),
    inference(pm,[status(thm)],[c_0_279,c_0_471]) ).

cnf(c_0_485,negated_conjecture,
    ( epred10_0
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_437,c_0_475]),c_0_427]),c_0_428]),c_0_429]),c_0_430]) ).

cnf(c_0_486,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred10_0
    | epred7_0
    | epred6_0
    | epred4_0
    | big_p(esk6_1(esk1_0))
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_476,c_0_477]),c_0_478]) ).

cnf(c_0_487,negated_conjecture,
    ( epred10_0
    | big_p(esk1_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_479,c_0_353]),c_0_312]),c_0_338]),c_0_456]),c_0_427]),c_0_428]),c_0_448]) ).

cnf(c_0_488,negated_conjecture,
    ( epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0)
    | big_p(esk5_0)
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_234,c_0_98]) ).

cnf(c_0_489,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred11_0 ),
    inference(pm,[status(thm)],[c_0_278,c_0_480]) ).

cnf(c_0_490,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_481,c_0_482]),c_0_483]),c_0_484]) ).

cnf(c_0_491,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred13_0 ),
    inference(pm,[status(thm)],[c_0_279,c_0_480]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ big_r(X1,X2)
    | ~ big_r(esk1_0,X1)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_r(esk3_0,X3)
    | ~ big_p(X4)
    | ~ big_r(X5,X6)
    | ~ big_r(esk4_0,X5)
    | ~ big_p(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_493,negated_conjecture,
    ( epred10_0
    | ~ big_p(esk6_1(esk3_0))
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_485,c_0_486]),c_0_487]),c_0_427]),c_0_428]),c_0_448]),c_0_429]),c_0_430]) ).

cnf(c_0_494,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk5_0)
    | ~ big_p(esk3_0) ),
    inference(pm,[status(thm)],[c_0_35,c_0_488]) ).

cnf(c_0_495,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred2_0 ),
    inference(pm,[status(thm)],[c_0_238,c_0_480]) ).

cnf(c_0_496,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred4_0 ),
    inference(pm,[status(thm)],[c_0_241,c_0_480]) ).

cnf(c_0_497,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred6_0 ),
    inference(pm,[status(thm)],[c_0_242,c_0_480]) ).

cnf(c_0_498,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0
    | ~ epred7_0 ),
    inference(pm,[status(thm)],[c_0_277,c_0_480]) ).

cnf(c_0_499,negated_conjecture,
    ( epred20_0
    | epred19_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_399,c_0_489]),c_0_490]) ).

cnf(c_0_500,negated_conjecture,
    ( epred20_0
    | epred19_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_399,c_0_491]),c_0_490]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ epred20_0
    | ~ epred16_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_492,c_0_296]),c_0_81]),c_0_140]) ).

cnf(c_0_502,negated_conjecture,
    ( epred10_0
    | ~ big_p(esk6_1(esk4_0))
    | ~ big_p(esk5_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_493,c_0_98]),c_0_469]),c_0_456]) ).

cnf(c_0_503,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk6_1(esk4_0))
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_478,c_0_98]),c_0_46]) ).

cnf(c_0_504,negated_conjecture,
    ( epred13_0
    | epred11_0
    | epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk5_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_467,c_0_98]),c_0_338]),c_0_494]) ).

cnf(c_0_505,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_r(X1,X2)
    | ~ big_r(esk3_0,X1)
    | ~ big_p(X2)
    | ~ big_r(X3,X4)
    | ~ big_r(esk4_0,X3)
    | ~ big_p(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_506,negated_conjecture,
    ( epred20_0
    | epred19_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_495,c_0_390]),c_0_496]),c_0_497]),c_0_498]),c_0_499]),c_0_500]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ epred20_0
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_501,c_0_301])]) ).

cnf(c_0_508,negated_conjecture,
    epred10_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_502,c_0_503]),c_0_487]),c_0_377]),c_0_504]),c_0_456]),c_0_427]),c_0_428]),c_0_448]),c_0_429]),c_0_430]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ epred19_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_505,c_0_271]),c_0_140]) ).

cnf(c_0_510,negated_conjecture,
    ( epred20_0
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_399,c_0_506]),c_0_490]) ).

cnf(c_0_511,negated_conjecture,
    ~ epred20_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_507,c_0_508])]) ).

cnf(c_0_512,negated_conjecture,
    ~ epred19_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_509,c_0_508])]) ).

cnf(c_0_513,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_510,c_0_511]),c_0_512]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 14:49:55 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.39/23.41  eprover: CPU time limit exceeded, terminating
% 0.39/23.41  eprover: CPU time limit exceeded, terminating
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.54/46.42  eprover: CPU time limit exceeded, terminating
% 0.54/46.43  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.54/46.43  
% 0.54/46.45  eprover: CPU time limit exceeded, terminating
% 0.67/67.83  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.67/67.83  
% 0.67/67.83  # Failure: Resource limit exceeded (time)
% 0.67/67.83  # OLD status Res
% 0.67/67.83  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.67/67.83  # Preprocessing time       : 0.058 s
% 0.67/67.83  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.67/67.83  
% 0.67/67.83  # Failure: Resource limit exceeded (time)
% 0.67/67.83  # OLD status Res
% 0.67/67.83  # Preprocessing time       : 0.016 s
% 0.67/67.83  # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 0.67/67.83  # Preprocessing time       : 0.008 s
% 0.67/67.83  
% 0.67/67.83  # Proof found!
% 0.67/67.83  # SZS status Theorem
% 0.67/67.83  # SZS output start CNFRefutation
% See solution above
% 0.67/67.84  # Proof object total steps             : 514
% 0.67/67.84  # Proof object clause steps            : 491
% 0.67/67.84  # Proof object formula steps           : 23
% 0.67/67.84  # Proof object conjectures             : 494
% 0.67/67.84  # Proof object clause conjectures      : 491
% 0.67/67.84  # Proof object formula conjectures     : 3
% 0.67/67.84  # Proof object initial clauses used    : 75
% 0.67/67.84  # Proof object initial formulas used   : 1
% 0.67/67.84  # Proof object generating inferences   : 329
% 0.67/67.84  # Proof object simplifying inferences  : 596
% 0.67/67.84  # Training examples: 0 positive, 0 negative
% 0.67/67.84  # Parsed axioms                        : 1
% 0.67/67.84  # Removed by relevancy pruning/SinE    : 0
% 0.67/67.84  # Initial clauses                      : 84
% 0.67/67.84  # Removed in clause preprocessing      : 0
% 0.67/67.84  # Initial clauses in saturation        : 84
% 0.67/67.84  # Processed clauses                    : 35825
% 0.67/67.84  # ...of these trivial                  : 29
% 0.67/67.84  # ...subsumed                          : 24183
% 0.67/67.84  # ...remaining for further processing  : 11612
% 0.67/67.84  # Other redundant clauses eliminated   : 0
% 0.67/67.84  # Clauses deleted for lack of memory   : 100035
% 0.67/67.84  # Backward-subsumed                    : 1314
% 0.67/67.84  # Backward-rewritten                   : 622
% 0.67/67.84  # Generated clauses                    : 278982
% 0.67/67.84  # ...of the previous two non-trivial   : 217058
% 0.67/67.84  # Contextual simplify-reflections      : 94403
% 0.67/67.84  # Paramodulations                      : 278911
% 0.67/67.84  # Factorizations                       : 0
% 0.67/67.84  # Equation resolutions                 : 0
% 0.67/67.84  # Current number of processed clauses  : 9625
% 0.67/67.84  #    Positive orientable unit clauses  : 3
% 0.67/67.84  #    Positive unorientable unit clauses: 0
% 0.67/67.84  #    Negative unit clauses             : 6
% 0.67/67.84  #    Non-unit-clauses                  : 9616
% 0.67/67.84  # Current number of unprocessed clauses: 40610
% 0.67/67.84  # ...number of literals in the above   : 521840
% 0.67/67.84  # Current number of archived formulas  : 0
% 0.67/67.84  # Current number of archived clauses   : 1945
% 0.67/67.84  # Clause-clause subsumption calls (NU) : 33036079
% 0.67/67.84  # Rec. Clause-clause subsumption calls : 247951
% 0.67/67.84  # Non-unit clause-clause subsumptions  : 120027
% 0.67/67.84  # Unit Clause-clause subsumption calls : 53573
% 0.67/67.84  # Rewrite failures with RHS unbound    : 0
% 0.67/67.84  # BW rewrite match attempts            : 2
% 0.67/67.84  # BW rewrite match successes           : 2
% 0.67/67.84  # Condensation attempts                : 0
% 0.67/67.84  # Condensation successes               : 0
% 0.67/67.84  # Termbank termtop insertions          : 768888
% 0.67/67.84  
% 0.67/67.84  # -------------------------------------------------
% 0.67/67.84  # User time                : 20.903 s
% 0.67/67.84  # System time              : 0.107 s
% 0.67/67.84  # Total time               : 21.010 s
% 0.67/67.84  # Maximum resident set size: 138972 pages
% 0.69/69.44  eprover: CPU time limit exceeded, terminating
% 0.69/69.45  eprover: CPU time limit exceeded, terminating
% 0.69/69.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.69/69.45  eprover: No such file or directory
% 0.69/69.45  eprover: CPU time limit exceeded, terminating
% 0.69/69.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.69/69.46  eprover: No such file or directory
% 0.69/69.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.69/69.46  eprover: No such file or directory
% 0.69/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.47  eprover: No such file or directory
% 0.69/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.69/69.47  eprover: No such file or directory
% 0.69/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.47  eprover: No such file or directory
% 0.69/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.69/69.47  eprover: No such file or directory
% 0.69/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.47  eprover: No such file or directory
% 0.69/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.47  eprover: No such file or directory
% 0.69/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.69/69.48  eprover: No such file or directory
% 0.69/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.48  eprover: No such file or directory
% 0.69/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.48  eprover: No such file or directory
% 0.69/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.69/69.48  eprover: No such file or directory
% 0.69/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.48  eprover: No such file or directory
% 0.69/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.48  eprover: No such file or directory
% 0.69/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.49  eprover: No such file or directory
% 0.69/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.69/69.49  eprover: No such file or directory
% 0.69/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.49  eprover: No such file or directory
% 0.69/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.49  eprover: No such file or directory
% 0.69/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.69/69.49  eprover: No such file or directory
% 0.69/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.49  eprover: No such file or directory
% 0.69/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.49  eprover: No such file or directory
% 0.69/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.50  eprover: No such file or directory
% 0.69/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.50  eprover: No such file or directory
% 0.69/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.50  eprover: No such file or directory
% 0.69/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.51  eprover: No such file or directory
% 0.69/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.69/69.51  eprover: No such file or directory
%------------------------------------------------------------------------------