TSTP Solution File: SEU286+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU286+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 09:18:37 EDT 2022

% Result   : Theorem 0.33s 24.50s
% Output   : CNFRefutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    2
% Syntax   : Number of formulae    :  106 (  10 unt;   0 def)
%            Number of atoms       : 1361 ( 350 equ)
%            Maximal formula atoms :  772 (  12 avg)
%            Number of connectives : 1985 ( 730   ~;1087   |; 155   &)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  140 (   8 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;   3 con; 0-7 aty)
%            Number of variables   :  363 (   3 sgn  37   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(s1_xboole_0__e10_24__wellord2__1,conjecture,
    ! [X1,X2] :
      ( ( ~ empty(X1)
        & relation(X2) )
     => ! [X3] :
        ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ( in(X5,cartesian_product2(X1,X3))
            & ? [X6,X7] :
                ( ordered_pair(X6,X7) = X5
                & in(X6,X1)
                & ? [X8] :
                    ( X6 = X8
                    & in(X7,X8)
                    & ! [X9] :
                        ( in(X9,X8)
                       => in(ordered_pair(X7,X9),X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',s1_xboole_0__e10_24__wellord2__1) ).

fof(s1_tarski__e10_24__wellord2__2,axiom,
    ! [X1,X2] :
      ( ( ~ empty(X1)
        & relation(X2) )
     => ! [X3] :
          ( ! [X4,X5,X6] :
              ( ( X4 = X5
                & ? [X7,X8] :
                    ( ordered_pair(X7,X8) = X5
                    & in(X7,X1)
                    & ? [X9] :
                        ( X7 = X9
                        & in(X8,X9)
                        & ! [X10] :
                            ( in(X10,X9)
                           => in(ordered_pair(X8,X10),X2) ) ) )
                & X4 = X6
                & ? [X11,X12] :
                    ( ordered_pair(X11,X12) = X6
                    & in(X11,X1)
                    & ? [X13] :
                        ( X11 = X13
                        & in(X12,X13)
                        & ! [X14] :
                            ( in(X14,X13)
                           => in(ordered_pair(X12,X14),X2) ) ) ) )
             => X5 = X6 )
         => ? [X4] :
            ! [X5] :
              ( in(X5,X4)
            <=> ? [X6] :
                  ( in(X6,cartesian_product2(X1,X3))
                  & X6 = X5
                  & ? [X15,X16] :
                      ( ordered_pair(X15,X16) = X5
                      & in(X15,X1)
                      & ? [X17] :
                          ( X15 = X17
                          & in(X16,X17)
                          & ! [X18] :
                              ( in(X18,X17)
                             => in(ordered_pair(X16,X18),X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',s1_tarski__e10_24__wellord2__2) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( ~ empty(X1)
          & relation(X2) )
       => ! [X3] :
          ? [X4] :
          ! [X5] :
            ( in(X5,X4)
          <=> ( in(X5,cartesian_product2(X1,X3))
              & ? [X6,X7] :
                  ( ordered_pair(X6,X7) = X5
                  & in(X6,X1)
                  & ? [X8] :
                      ( X6 = X8
                      & in(X7,X8)
                      & ! [X9] :
                          ( in(X9,X8)
                         => in(ordered_pair(X7,X9),X2) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[s1_xboole_0__e10_24__wellord2__1]) ).

fof(c_0_3,plain,
    ! [X19,X20,X28,X32,X21,X34,X39,X34,X40,X41,X42,X43] :
      ( ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk12_2(X19,X20),esk13_2(X19,X20)) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk12_2(X19,X20),esk13_2(X19,X20)) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk12_2(X19,X20),esk13_2(X19,X20)) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk12_2(X19,X20),esk13_2(X19,X20)) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk12_2(X19,X20),esk13_2(X19,X20)) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk12_2(X19,X20),esk13_2(X19,X20)) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk12_2(X19,X20),esk13_2(X19,X20)) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk12_2(X19,X20),esk13_2(X19,X20)) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk12_2(X19,X20),esk13_2(X19,X20)) = esk10_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk12_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk12_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk12_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk12_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk12_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk12_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk12_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | in(esk12_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | in(esk12_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk12_2(X19,X20) = esk14_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk12_2(X19,X20) = esk14_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk12_2(X19,X20) = esk14_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk12_2(X19,X20) = esk14_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk12_2(X19,X20) = esk14_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk12_2(X19,X20) = esk14_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk12_2(X19,X20) = esk14_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk12_2(X19,X20) = esk14_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk12_2(X19,X20) = esk14_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk13_2(X19,X20),esk14_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk13_2(X19,X20),esk14_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk13_2(X19,X20),esk14_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk13_2(X19,X20),esk14_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk13_2(X19,X20),esk14_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk13_2(X19,X20),esk14_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk13_2(X19,X20),esk14_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | in(esk13_2(X19,X20),esk14_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | in(esk13_2(X19,X20),esk14_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X28,esk14_2(X19,X20))
        | in(ordered_pair(esk13_2(X19,X20),X28),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X28,esk14_2(X19,X20))
        | in(ordered_pair(esk13_2(X19,X20),X28),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X28,esk14_2(X19,X20))
        | in(ordered_pair(esk13_2(X19,X20),X28),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X28,esk14_2(X19,X20))
        | in(ordered_pair(esk13_2(X19,X20),X28),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X28,esk14_2(X19,X20))
        | in(ordered_pair(esk13_2(X19,X20),X28),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X28,esk14_2(X19,X20))
        | in(ordered_pair(esk13_2(X19,X20),X28),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X28,esk14_2(X19,X20))
        | in(ordered_pair(esk13_2(X19,X20),X28),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | ~ in(X28,esk14_2(X19,X20))
        | in(ordered_pair(esk13_2(X19,X20),X28),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | ~ in(X28,esk14_2(X19,X20))
        | in(ordered_pair(esk13_2(X19,X20),X28),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk9_2(X19,X20) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk15_2(X19,X20),esk16_2(X19,X20)) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk15_2(X19,X20),esk16_2(X19,X20)) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk15_2(X19,X20),esk16_2(X19,X20)) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk15_2(X19,X20),esk16_2(X19,X20)) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk15_2(X19,X20),esk16_2(X19,X20)) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk15_2(X19,X20),esk16_2(X19,X20)) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk15_2(X19,X20),esk16_2(X19,X20)) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk15_2(X19,X20),esk16_2(X19,X20)) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | ordered_pair(esk15_2(X19,X20),esk16_2(X19,X20)) = esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk15_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk15_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk15_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk15_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk15_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk15_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk15_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | in(esk15_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | in(esk15_2(X19,X20),X19)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk15_2(X19,X20) = esk17_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk15_2(X19,X20) = esk17_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk15_2(X19,X20) = esk17_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk15_2(X19,X20) = esk17_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk15_2(X19,X20) = esk17_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk15_2(X19,X20) = esk17_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk15_2(X19,X20) = esk17_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk15_2(X19,X20) = esk17_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk15_2(X19,X20) = esk17_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk16_2(X19,X20),esk17_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk16_2(X19,X20),esk17_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk16_2(X19,X20),esk17_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk16_2(X19,X20),esk17_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk16_2(X19,X20),esk17_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk16_2(X19,X20),esk17_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | in(esk16_2(X19,X20),esk17_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | in(esk16_2(X19,X20),esk17_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | in(esk16_2(X19,X20),esk17_2(X19,X20))
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X32,esk17_2(X19,X20))
        | in(ordered_pair(esk16_2(X19,X20),X32),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X32,esk17_2(X19,X20))
        | in(ordered_pair(esk16_2(X19,X20),X32),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X32,esk17_2(X19,X20))
        | in(ordered_pair(esk16_2(X19,X20),X32),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X32,esk17_2(X19,X20))
        | in(ordered_pair(esk16_2(X19,X20),X32),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X32,esk17_2(X19,X20))
        | in(ordered_pair(esk16_2(X19,X20),X32),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X32,esk17_2(X19,X20))
        | in(ordered_pair(esk16_2(X19,X20),X32),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | ~ in(X32,esk17_2(X19,X20))
        | in(ordered_pair(esk16_2(X19,X20),X32),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | ~ in(X32,esk17_2(X19,X20))
        | in(ordered_pair(esk16_2(X19,X20),X32),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | ~ in(X32,esk17_2(X19,X20))
        | in(ordered_pair(esk16_2(X19,X20),X32),X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk19_4(X19,X20,X21,X34),cartesian_product2(X19,X21))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk10_2(X19,X20) != esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk19_4(X19,X20,X21,X34) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk10_2(X19,X20) != esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ordered_pair(esk20_4(X19,X20,X21,X34),esk21_4(X19,X20,X21,X34)) = X34
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk10_2(X19,X20) != esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk20_4(X19,X20,X21,X34),X19)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk10_2(X19,X20) != esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( esk20_4(X19,X20,X21,X34) = esk22_4(X19,X20,X21,X34)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk10_2(X19,X20) != esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk21_4(X19,X20,X21,X34),esk22_4(X19,X20,X21,X34))
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk10_2(X19,X20) != esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(X39,esk22_4(X19,X20,X21,X34))
        | in(ordered_pair(esk21_4(X19,X20,X21,X34),X39),X20)
        | ~ in(X34,esk18_3(X19,X20,X21))
        | esk10_2(X19,X20) != esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( in(esk23_7(X19,X20,X21,X34,X41,X42,X43),X43)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk10_2(X19,X20) != esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) )
      & ( ~ in(ordered_pair(X42,esk23_7(X19,X20,X21,X34,X41,X42,X43)),X20)
        | X41 != X43
        | ~ in(X42,X43)
        | ordered_pair(X41,X42) != X34
        | ~ in(X41,X19)
        | ~ in(X40,cartesian_product2(X19,X21))
        | X40 != X34
        | in(X34,esk18_3(X19,X20,X21))
        | esk10_2(X19,X20) != esk11_2(X19,X20)
        | empty(X19)
        | ~ relation(X20) ) ),
    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)],[s1_tarski__e10_24__wellord2__2])])])])])])])]) ).

fof(c_0_4,negated_conjecture,
    ! [X13,X15,X16,X17,X22] :
      ( ~ empty(esk1_0)
      & relation(esk2_0)
      & ( in(esk5_4(X13,X15,X16,X17),X17)
        | X15 != X17
        | ~ in(X16,X17)
        | ordered_pair(X15,X16) != esk4_1(X13)
        | ~ in(X15,esk1_0)
        | ~ in(esk4_1(X13),cartesian_product2(esk1_0,esk3_0))
        | ~ in(esk4_1(X13),X13) )
      & ( ~ in(ordered_pair(X16,esk5_4(X13,X15,X16,X17)),esk2_0)
        | X15 != X17
        | ~ in(X16,X17)
        | ordered_pair(X15,X16) != esk4_1(X13)
        | ~ in(X15,esk1_0)
        | ~ in(esk4_1(X13),cartesian_product2(esk1_0,esk3_0))
        | ~ in(esk4_1(X13),X13) )
      & ( in(esk4_1(X13),cartesian_product2(esk1_0,esk3_0))
        | in(esk4_1(X13),X13) )
      & ( ordered_pair(esk6_1(X13),esk7_1(X13)) = esk4_1(X13)
        | in(esk4_1(X13),X13) )
      & ( in(esk6_1(X13),esk1_0)
        | in(esk4_1(X13),X13) )
      & ( esk6_1(X13) = esk8_1(X13)
        | in(esk4_1(X13),X13) )
      & ( in(esk7_1(X13),esk8_1(X13))
        | in(esk4_1(X13),X13) )
      & ( ~ in(X22,esk8_1(X13))
        | in(ordered_pair(esk7_1(X13),X22),esk2_0)
        | in(esk4_1(X13),X13) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])])])]) ).

cnf(c_0_5,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk10_2(X2,X1)
    | in(X3,esk18_3(X2,X1,X4))
    | in(esk23_7(X2,X1,X4,X3,X6,X7,X8),X8)
    | ~ relation(X1)
    | X5 != X3
    | ~ in(X5,cartesian_product2(X2,X4))
    | ~ in(X6,X2)
    | ordered_pair(X6,X7) != X3
    | ~ in(X7,X8)
    | X6 != X8 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk10_2(X2,X1)
    | in(X3,esk18_3(X2,X1,X4))
    | ~ relation(X1)
    | X5 != X3
    | ~ in(X5,cartesian_product2(X2,X4))
    | ~ in(X6,X2)
    | ordered_pair(X6,X7) != X3
    | ~ in(X7,X8)
    | X6 != X8
    | ~ in(ordered_pair(X7,esk23_7(X2,X1,X4,X3,X6,X7,X8)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    ( in(esk4_1(X1),X1)
    | in(ordered_pair(esk7_1(X1),X2),esk2_0)
    | ~ in(X2,esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( esk9_2(X1,X2) = esk10_2(X1,X2)
    | in(esk23_7(X1,X2,X3,X4,X5,X6,X5),X5)
    | in(X4,esk18_3(X1,X2,X3))
    | empty(X1)
    | ordered_pair(X5,X6) != X4
    | ~ in(X4,cartesian_product2(X1,X3))
    | ~ in(X6,X5)
    | ~ in(X5,X1)
    | ~ relation(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])]) ).

cnf(c_0_9,plain,
    ( esk9_2(X1,X2) = esk10_2(X1,X2)
    | in(X3,esk18_3(X1,X2,X4))
    | empty(X1)
    | ordered_pair(X5,X6) != X3
    | ~ in(ordered_pair(X6,esk23_7(X1,X2,X4,X3,X5,X6,X5)),X2)
    | ~ in(X3,cartesian_product2(X1,X4))
    | ~ in(X6,X5)
    | ~ in(X5,X1)
    | ~ relation(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).

cnf(c_0_10,negated_conjecture,
    ( esk9_2(X1,X2) = esk10_2(X1,X2)
    | in(ordered_pair(esk7_1(X3),esk23_7(X1,X2,X4,X5,esk8_1(X3),X6,esk8_1(X3))),esk2_0)
    | in(X5,esk18_3(X1,X2,X4))
    | in(esk4_1(X3),X3)
    | empty(X1)
    | ordered_pair(esk8_1(X3),X6) != X5
    | ~ in(X5,cartesian_product2(X1,X4))
    | ~ in(X6,esk8_1(X3))
    | ~ in(esk8_1(X3),X1)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    relation(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,negated_conjecture,
    ( in(esk4_1(X1),X1)
    | in(esk7_1(X1),esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,negated_conjecture,
    ( in(esk4_1(X1),X1)
    | ordered_pair(esk6_1(X1),esk7_1(X1)) = esk4_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,negated_conjecture,
    ( in(esk4_1(X1),X1)
    | esk6_1(X1) = esk8_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,negated_conjecture,
    ( esk9_2(X1,esk2_0) = esk10_2(X1,esk2_0)
    | in(X2,esk18_3(X1,esk2_0,X3))
    | in(esk4_1(X4),X4)
    | empty(X1)
    | ordered_pair(esk8_1(X4),esk7_1(X4)) != X2
    | ~ in(X2,cartesian_product2(X1,X3))
    | ~ in(esk8_1(X4),X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    ( ordered_pair(esk8_1(X1),esk7_1(X1)) = esk4_1(X1)
    | in(esk4_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ( in(esk4_1(X1),X1)
    | in(esk6_1(X1),esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,negated_conjecture,
    ( esk9_2(X1,esk2_0) = esk10_2(X1,esk2_0)
    | in(X2,esk18_3(X1,esk2_0,X3))
    | in(esk4_1(X4),X4)
    | empty(X1)
    | esk4_1(X4) != X2
    | ~ in(X2,cartesian_product2(X1,X3))
    | ~ in(esk8_1(X4),X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ( in(esk4_1(X1),X1)
    | in(esk4_1(X1),cartesian_product2(esk1_0,esk3_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_20,negated_conjecture,
    ~ empty(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21,negated_conjecture,
    ( in(esk8_1(X1),esk1_0)
    | in(esk4_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
    | in(esk4_1(X1),X1)
    | in(esk4_1(X2),X2)
    | esk4_1(X2) != esk4_1(X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ in(esk4_1(X1),X1)
    | ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk3_0))
    | ~ in(X2,esk1_0)
    | ordered_pair(X2,X3) != esk4_1(X1)
    | ~ in(X3,X4)
    | X2 != X4
    | ~ in(ordered_pair(X3,esk5_4(X1,X2,X3,X4)),esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_24,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk10_2(X2,X1)
    | in(esk19_4(X2,X1,X4,X3),cartesian_product2(X2,X4))
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_25,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk10_2(X2,X1)
    | esk19_4(X2,X1,X4,X3) = X3
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_26,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
    | in(esk4_1(X1),X1) ),
    inference(er,[status(thm)],[c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( ordered_pair(X1,X2) != esk4_1(X3)
    | ~ in(ordered_pair(X2,esk5_4(X3,X1,X2,X1)),esk2_0)
    | ~ in(esk4_1(X3),cartesian_product2(esk1_0,esk3_0))
    | ~ in(esk4_1(X3),X3)
    | ~ in(X1,esk1_0)
    | ~ in(X2,X1) ),
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_28,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk10_2(X2,X1)
    | in(ordered_pair(esk21_4(X2,X1,X4,X3),X5),X1)
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4))
    | ~ in(X5,esk22_4(X2,X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_29,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk10_2(X2,X1)
    | esk20_4(X2,X1,X4,X3) = esk22_4(X2,X1,X4,X3)
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_30,negated_conjecture,
    ( in(esk5_4(X1,X2,X3,X4),X4)
    | ~ in(esk4_1(X1),X1)
    | ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk3_0))
    | ~ in(X2,esk1_0)
    | ordered_pair(X2,X3) != esk4_1(X1)
    | ~ in(X3,X4)
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_31,plain,
    ( esk9_2(X1,X2) = esk10_2(X1,X2)
    | in(X3,cartesian_product2(X1,X4))
    | empty(X1)
    | ~ in(X3,esk18_3(X1,X2,X4))
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,esk3_0)) ),
    inference(ef,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    ( empty(X2)
    | in(X3,esk18_3(X2,X1,X4))
    | in(esk23_7(X2,X1,X4,X3,X6,X7,X8),X8)
    | ~ relation(X1)
    | esk10_2(X2,X1) != esk11_2(X2,X1)
    | X5 != X3
    | ~ in(X5,cartesian_product2(X2,X4))
    | ~ in(X6,X2)
    | ordered_pair(X6,X7) != X3
    | ~ in(X7,X8)
    | X6 != X8 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_34,negated_conjecture,
    ( esk9_2(X1,esk2_0) = esk10_2(X1,esk2_0)
    | empty(X1)
    | ordered_pair(X2,esk21_4(X1,esk2_0,X3,X4)) != esk4_1(X5)
    | ~ in(esk5_4(X5,X2,esk21_4(X1,esk2_0,X3,X4),X2),esk22_4(X1,esk2_0,X3,X4))
    | ~ in(esk4_1(X5),cartesian_product2(esk1_0,esk3_0))
    | ~ in(esk21_4(X1,esk2_0,X3,X4),X2)
    | ~ in(X4,esk18_3(X1,esk2_0,X3))
    | ~ in(esk4_1(X5),X5)
    | ~ in(X2,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_11])]) ).

cnf(c_0_35,negated_conjecture,
    ( esk22_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(X1))
    | esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk4_1(X1),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_26]),c_0_11])]),c_0_20]) ).

cnf(c_0_36,negated_conjecture,
    ( in(esk5_4(X1,X2,X3,X2),X2)
    | ordered_pair(X2,X3) != esk4_1(X1)
    | ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk3_0))
    | ~ in(esk4_1(X1),X1)
    | ~ in(X2,esk1_0)
    | ~ in(X3,X2) ),
    inference(er,[status(thm)],[c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk3_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_11])]),c_0_20]) ).

cnf(c_0_38,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk10_2(X2,X1)
    | in(esk21_4(X2,X1,X4,X3),esk22_4(X2,X1,X4,X3))
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_39,plain,
    ( empty(X2)
    | in(X3,esk18_3(X2,X1,X4))
    | ~ relation(X1)
    | esk10_2(X2,X1) != esk11_2(X2,X1)
    | X5 != X3
    | ~ in(X5,cartesian_product2(X2,X4))
    | ~ in(X6,X2)
    | ordered_pair(X6,X7) != X3
    | ~ in(X7,X8)
    | X6 != X8
    | ~ in(ordered_pair(X7,esk23_7(X2,X1,X4,X3,X6,X7,X8)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_40,plain,
    ( in(esk23_7(X1,X2,X3,X4,X5,X6,X5),X5)
    | in(X4,esk18_3(X1,X2,X3))
    | empty(X1)
    | esk11_2(X1,X2) != esk10_2(X1,X2)
    | ordered_pair(X5,X6) != X4
    | ~ in(X4,cartesian_product2(X1,X3))
    | ~ in(X6,X5)
    | ~ in(X5,X1)
    | ~ relation(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])]) ).

cnf(c_0_41,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk11_2(X2,X1)
    | in(X3,esk18_3(X2,X1,X4))
    | in(esk23_7(X2,X1,X4,X3,X6,X7,X8),X8)
    | ~ relation(X1)
    | X5 != X3
    | ~ in(X5,cartesian_product2(X2,X4))
    | ~ in(X6,X2)
    | ordered_pair(X6,X7) != X3
    | ~ in(X7,X8)
    | X6 != X8 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_42,negated_conjecture,
    ( esk22_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))
    | esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_11])]),c_0_20]) ).

cnf(c_0_43,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk4_1(X1),X1)
    | ordered_pair(X2,esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(X1))) != esk4_1(X3)
    | ~ in(esk5_4(X3,X2,esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),X2),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)))
    | ~ in(esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),X2)
    | ~ in(esk4_1(X3),cartesian_product2(esk1_0,esk3_0))
    | ~ in(esk4_1(X3),X3)
    | ~ in(X2,esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_20]),c_0_26]) ).

cnf(c_0_44,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk5_4(esk18_3(esk1_0,esk2_0,esk3_0),X1,X2,X1),X1)
    | ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
    | ~ in(X1,esk1_0)
    | ~ in(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_32]) ).

cnf(c_0_45,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)))
    | in(esk4_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_35]),c_0_11])]),c_0_20]),c_0_26]) ).

cnf(c_0_46,plain,
    ( in(X1,esk18_3(X2,X3,X4))
    | empty(X2)
    | esk11_2(X2,X3) != esk10_2(X2,X3)
    | ordered_pair(X5,X6) != X1
    | ~ in(ordered_pair(X6,esk23_7(X2,X3,X4,X1,X5,X6,X5)),X3)
    | ~ in(X1,cartesian_product2(X2,X4))
    | ~ in(X6,X5)
    | ~ in(X5,X2)
    | ~ relation(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])]) ).

cnf(c_0_47,negated_conjecture,
    ( in(ordered_pair(esk7_1(X1),esk23_7(X2,X3,X4,X5,esk8_1(X1),X6,esk8_1(X1))),esk2_0)
    | in(X5,esk18_3(X2,X3,X4))
    | in(esk4_1(X1),X1)
    | empty(X2)
    | esk11_2(X2,X3) != esk10_2(X2,X3)
    | ordered_pair(esk8_1(X1),X6) != X5
    | ~ in(X5,cartesian_product2(X2,X4))
    | ~ in(X6,esk8_1(X1))
    | ~ in(esk8_1(X1),X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_7,c_0_40]) ).

cnf(c_0_48,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk11_2(X2,X1)
    | in(X3,esk18_3(X2,X1,X4))
    | ~ relation(X1)
    | X5 != X3
    | ~ in(X5,cartesian_product2(X2,X4))
    | ~ in(X6,X2)
    | ordered_pair(X6,X7) != X3
    | ~ in(X7,X8)
    | X6 != X8
    | ~ in(ordered_pair(X7,esk23_7(X2,X1,X4,X3,X6,X7,X8)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_49,plain,
    ( esk9_2(X1,X2) = esk11_2(X1,X2)
    | in(esk23_7(X1,X2,X3,X4,X5,X6,X5),X5)
    | in(X4,esk18_3(X1,X2,X3))
    | empty(X1)
    | ordered_pair(X5,X6) != X4
    | ~ in(X4,cartesian_product2(X1,X3))
    | ~ in(X6,X5)
    | ~ in(X5,X1)
    | ~ relation(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_41])]) ).

cnf(c_0_50,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | ordered_pair(X1,esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) != esk4_1(X2)
    | ~ in(esk5_4(X2,X1,esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),X1),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))))
    | ~ in(esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),X1)
    | ~ in(esk4_1(X2),cartesian_product2(esk1_0,esk3_0))
    | ~ in(esk4_1(X2),X2)
    | ~ in(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_42]),c_0_20]),c_0_43]) ).

cnf(c_0_51,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk4_1(X1),X1)
    | ordered_pair(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(X1))) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
    | ~ in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_32]),c_0_37]),c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_11])]),c_0_20]),c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    ( in(X1,esk18_3(X2,esk2_0,X3))
    | in(esk4_1(X4),X4)
    | empty(X2)
    | esk11_2(X2,esk2_0) != esk10_2(X2,esk2_0)
    | ordered_pair(esk8_1(X4),esk7_1(X4)) != X1
    | ~ in(X1,cartesian_product2(X2,X3))
    | ~ in(esk8_1(X4),X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_11])]),c_0_12]) ).

cnf(c_0_54,plain,
    ( esk9_2(X1,X2) = esk11_2(X1,X2)
    | in(X3,esk18_3(X1,X2,X4))
    | empty(X1)
    | ordered_pair(X5,X6) != X3
    | ~ in(ordered_pair(X6,esk23_7(X1,X2,X4,X3,X5,X6,X5)),X2)
    | ~ in(X3,cartesian_product2(X1,X4))
    | ~ in(X6,X5)
    | ~ in(X5,X1)
    | ~ relation(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_48])]) ).

cnf(c_0_55,negated_conjecture,
    ( esk9_2(X1,X2) = esk11_2(X1,X2)
    | in(ordered_pair(esk7_1(X3),esk23_7(X1,X2,X4,X5,esk8_1(X3),X6,esk8_1(X3))),esk2_0)
    | in(X5,esk18_3(X1,X2,X4))
    | in(esk4_1(X3),X3)
    | empty(X1)
    | ordered_pair(esk8_1(X3),X6) != X5
    | ~ in(X5,cartesian_product2(X1,X4))
    | ~ in(X6,esk8_1(X3))
    | ~ in(esk8_1(X3),X1)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_49]) ).

cnf(c_0_56,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | ordered_pair(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
    | ~ in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_51]),c_0_37]),c_0_52]) ).

cnf(c_0_57,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk10_2(X2,X1)
    | ordered_pair(esk20_4(X2,X1,X4,X3),esk21_4(X2,X1,X4,X3)) = X3
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_58,negated_conjecture,
    ( in(X1,esk18_3(X2,esk2_0,X3))
    | in(esk4_1(X4),X4)
    | empty(X2)
    | esk11_2(X2,esk2_0) != esk10_2(X2,esk2_0)
    | esk4_1(X4) != X1
    | ~ in(X1,cartesian_product2(X2,X3))
    | ~ in(esk8_1(X4),X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_16]) ).

cnf(c_0_59,negated_conjecture,
    ( esk9_2(X1,esk2_0) = esk11_2(X1,esk2_0)
    | in(X2,esk18_3(X1,esk2_0,X3))
    | in(esk4_1(X4),X4)
    | empty(X1)
    | ordered_pair(esk8_1(X4),esk7_1(X4)) != X2
    | ~ in(X2,cartesian_product2(X1,X3))
    | ~ in(esk8_1(X4),X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_11])]),c_0_12]) ).

cnf(c_0_60,negated_conjecture,
    ( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | ~ in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_11])]),c_0_20]),c_0_32]) ).

cnf(c_0_61,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk10_2(X2,X1)
    | in(esk20_4(X2,X1,X4,X3),X2)
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_62,negated_conjecture,
    ( in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
    | in(esk4_1(X1),X1)
    | in(esk4_1(X2),X2)
    | esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
    | esk4_1(X2) != esk4_1(X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_19]),c_0_20]),c_0_21]) ).

cnf(c_0_63,negated_conjecture,
    ( esk9_2(X1,esk2_0) = esk11_2(X1,esk2_0)
    | in(X2,esk18_3(X1,esk2_0,X3))
    | in(esk4_1(X4),X4)
    | empty(X1)
    | esk4_1(X4) != X2
    | ~ in(X2,cartesian_product2(X1,X3))
    | ~ in(esk8_1(X4),X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_16]) ).

cnf(c_0_64,negated_conjecture,
    esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_11])]),c_0_20]),c_0_32]) ).

cnf(c_0_65,negated_conjecture,
    ( in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
    | in(esk4_1(X1),X1)
    | esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
    inference(er,[status(thm)],[c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    ( in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
    | in(esk4_1(X1),X1)
    | in(esk4_1(X2),X2)
    | esk4_1(X2) != esk4_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_19]),c_0_64]),c_0_20]),c_0_21]),c_0_65]) ).

cnf(c_0_67,plain,
    ( empty(X2)
    | in(esk19_4(X2,X1,X4,X3),cartesian_product2(X2,X4))
    | ~ relation(X1)
    | esk10_2(X2,X1) != esk11_2(X2,X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_68,plain,
    ( empty(X2)
    | esk19_4(X2,X1,X4,X3) = X3
    | ~ relation(X1)
    | esk10_2(X2,X1) != esk11_2(X2,X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_69,negated_conjecture,
    ( in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
    | in(esk4_1(X1),X1) ),
    inference(er,[status(thm)],[c_0_66]) ).

cnf(c_0_70,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk11_2(X2,X1)
    | in(esk19_4(X2,X1,X4,X3),cartesian_product2(X2,X4))
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_71,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk11_2(X2,X1)
    | esk19_4(X2,X1,X4,X3) = X3
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_72,plain,
    ( in(X1,cartesian_product2(X2,X3))
    | empty(X2)
    | esk11_2(X2,X4) != esk10_2(X2,X4)
    | ~ in(X1,esk18_3(X2,X4,X3))
    | ~ relation(X4) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,esk3_0)),
    inference(ef,[status(thm)],[c_0_69]) ).

cnf(c_0_74,plain,
    ( empty(X2)
    | in(ordered_pair(esk21_4(X2,X1,X4,X3),X5),X1)
    | ~ relation(X1)
    | esk10_2(X2,X1) != esk11_2(X2,X1)
    | ~ in(X3,esk18_3(X2,X1,X4))
    | ~ in(X5,esk22_4(X2,X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_75,plain,
    ( esk9_2(X1,X2) = esk11_2(X1,X2)
    | in(X3,cartesian_product2(X1,X4))
    | empty(X1)
    | ~ in(X3,esk18_3(X1,X2,X4))
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    ( in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk3_0))
    | esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_11])]),c_0_20]) ).

cnf(c_0_77,negated_conjecture,
    ( empty(X1)
    | ordered_pair(X2,esk21_4(X1,esk2_0,X3,X4)) != esk4_1(X5)
    | esk11_2(X1,esk2_0) != esk10_2(X1,esk2_0)
    | ~ in(esk5_4(X5,X2,esk21_4(X1,esk2_0,X3,X4),X2),esk22_4(X1,esk2_0,X3,X4))
    | ~ in(esk4_1(X5),cartesian_product2(esk1_0,esk3_0))
    | ~ in(esk21_4(X1,esk2_0,X3,X4),X2)
    | ~ in(X4,esk18_3(X1,esk2_0,X3))
    | ~ in(esk4_1(X5),X5)
    | ~ in(X2,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_74]),c_0_11])]) ).

cnf(c_0_78,plain,
    ( empty(X2)
    | esk20_4(X2,X1,X4,X3) = esk22_4(X2,X1,X4,X3)
    | ~ relation(X1)
    | esk10_2(X2,X1) != esk11_2(X2,X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_79,negated_conjecture,
    in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk3_0)),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_73]),c_0_64]),c_0_11])]),c_0_20]),c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    ( empty(X1)
    | ordered_pair(X2,esk21_4(X1,esk2_0,X3,X4)) != esk4_1(X5)
    | esk11_2(X1,esk2_0) != esk10_2(X1,esk2_0)
    | ~ in(esk5_4(X5,X2,esk21_4(X1,esk2_0,X3,X4),X2),esk20_4(X1,esk2_0,X3,X4))
    | ~ in(esk4_1(X5),cartesian_product2(esk1_0,esk3_0))
    | ~ in(esk21_4(X1,esk2_0,X3,X4),X2)
    | ~ in(X4,esk18_3(X1,esk2_0,X3))
    | ~ in(esk4_1(X5),X5)
    | ~ in(X2,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_11])]) ).

cnf(c_0_81,negated_conjecture,
    ( in(esk5_4(esk18_3(esk1_0,esk2_0,esk3_0),X1,X2,X1),X1)
    | ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
    | ~ in(X1,esk1_0)
    | ~ in(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_79]),c_0_73])]) ).

cnf(c_0_82,negated_conjecture,
    ( empty(X1)
    | ordered_pair(esk20_4(X1,esk2_0,X2,X3),esk21_4(X1,esk2_0,X2,X3)) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
    | esk11_2(X1,esk2_0) != esk10_2(X1,esk2_0)
    | ~ in(esk21_4(X1,esk2_0,X2,X3),esk20_4(X1,esk2_0,X2,X3))
    | ~ in(esk20_4(X1,esk2_0,X2,X3),esk1_0)
    | ~ in(X3,esk18_3(X1,esk2_0,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_79]),c_0_73])]) ).

cnf(c_0_83,plain,
    ( empty(X2)
    | ordered_pair(esk20_4(X2,X1,X4,X3),esk21_4(X2,X1,X4,X3)) = X3
    | ~ relation(X1)
    | esk10_2(X2,X1) != esk11_2(X2,X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_84,plain,
    ( empty(X2)
    | in(esk21_4(X2,X1,X4,X3),esk22_4(X2,X1,X4,X3))
    | ~ relation(X1)
    | esk10_2(X2,X1) != esk11_2(X2,X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_85,negated_conjecture,
    ( empty(X1)
    | X2 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
    | esk11_2(X1,esk2_0) != esk10_2(X1,esk2_0)
    | ~ in(esk21_4(X1,esk2_0,X3,X2),esk20_4(X1,esk2_0,X3,X2))
    | ~ in(esk20_4(X1,esk2_0,X3,X2),esk1_0)
    | ~ in(X2,esk18_3(X1,esk2_0,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_11])]) ).

cnf(c_0_86,plain,
    ( in(esk21_4(X1,X2,X3,X4),esk20_4(X1,X2,X3,X4))
    | empty(X1)
    | esk11_2(X1,X2) != esk10_2(X1,X2)
    | ~ in(X4,esk18_3(X1,X2,X3))
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_84,c_0_78]) ).

cnf(c_0_87,negated_conjecture,
    ( empty(X1)
    | X2 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
    | esk11_2(X1,esk2_0) != esk10_2(X1,esk2_0)
    | ~ in(esk20_4(X1,esk2_0,X3,X2),esk1_0)
    | ~ in(X2,esk18_3(X1,esk2_0,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_11])]) ).

cnf(c_0_88,plain,
    ( empty(X2)
    | in(esk20_4(X2,X1,X4,X3),X2)
    | ~ relation(X1)
    | esk10_2(X2,X1) != esk11_2(X2,X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_89,negated_conjecture,
    ( esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
    | X1 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
    | ~ in(X1,esk18_3(esk1_0,esk2_0,X2)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_11])]),c_0_20]) ).

cnf(c_0_90,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk11_2(X2,X1)
    | esk20_4(X2,X1,X4,X3) = esk22_4(X2,X1,X4,X3)
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_91,negated_conjecture,
    ( esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
    | ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,X1)) ),
    inference(er,[status(thm)],[c_0_89]) ).

cnf(c_0_92,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk11_2(X2,X1)
    | in(ordered_pair(esk21_4(X2,X1,X4,X3),X5),X1)
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4))
    | ~ in(X5,esk22_4(X2,X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_93,negated_conjecture,
    ( esk22_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))
    | esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_73]),c_0_64]),c_0_11])]),c_0_20]) ).

cnf(c_0_94,negated_conjecture,
    esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_91,c_0_73]) ).

cnf(c_0_95,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk11_2(X2,X1)
    | in(esk21_4(X2,X1,X4,X3),esk22_4(X2,X1,X4,X3))
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_96,negated_conjecture,
    ( esk9_2(X1,esk2_0) = esk11_2(X1,esk2_0)
    | empty(X1)
    | ordered_pair(X2,esk21_4(X1,esk2_0,X3,X4)) != esk4_1(X5)
    | ~ in(esk5_4(X5,X2,esk21_4(X1,esk2_0,X3,X4),X2),esk22_4(X1,esk2_0,X3,X4))
    | ~ in(esk4_1(X5),cartesian_product2(esk1_0,esk3_0))
    | ~ in(esk21_4(X1,esk2_0,X3,X4),X2)
    | ~ in(X4,esk18_3(X1,esk2_0,X3))
    | ~ in(esk4_1(X5),X5)
    | ~ in(X2,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_92]),c_0_11])]) ).

cnf(c_0_97,negated_conjecture,
    esk22_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),
    inference(sr,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_98,negated_conjecture,
    ( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_93]),c_0_64]),c_0_73]),c_0_11])]),c_0_20]) ).

cnf(c_0_99,negated_conjecture,
    ( ordered_pair(X1,esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) != esk4_1(X2)
    | ~ in(esk5_4(X2,X1,esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),X1),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))))
    | ~ in(esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),X1)
    | ~ in(esk4_1(X2),cartesian_product2(esk1_0,esk3_0))
    | ~ in(esk4_1(X2),X2)
    | ~ in(X1,esk1_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_64]),c_0_73])]),c_0_94]),c_0_20]) ).

cnf(c_0_100,negated_conjecture,
    in(esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))),
    inference(sr,[status(thm)],[c_0_98,c_0_94]) ).

cnf(c_0_101,negated_conjecture,
    ( ordered_pair(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
    | ~ in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_81]),c_0_100]),c_0_79]),c_0_73])]) ).

cnf(c_0_102,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk11_2(X2,X1)
    | ordered_pair(esk20_4(X2,X1,X4,X3),esk21_4(X2,X1,X4,X3)) = X3
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_103,negated_conjecture,
    ~ in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk1_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_64]),c_0_73]),c_0_11])]),c_0_94]),c_0_20]) ).

cnf(c_0_104,plain,
    ( empty(X2)
    | esk9_2(X2,X1) = esk11_2(X2,X1)
    | in(esk20_4(X2,X1,X4,X3),X2)
    | ~ relation(X1)
    | ~ in(X3,esk18_3(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_105,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_64]),c_0_73]),c_0_11])]),c_0_94]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU286+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.32  % Computer : n022.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jun 19 05:42:17 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.33/23.38  eprover: CPU time limit exceeded, terminating
% 0.33/23.38  eprover: CPU time limit exceeded, terminating
% 0.33/23.38  eprover: CPU time limit exceeded, terminating
% 0.33/23.39  eprover: CPU time limit exceeded, terminating
% 0.33/24.50  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.33/24.50  
% 0.33/24.50  # Failure: Resource limit exceeded (time)
% 0.33/24.50  # OLD status Res
% 0.33/24.50  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.33/24.50  # Preprocessing time       : 0.019 s
% 0.33/24.50  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.33/24.50  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.33/24.50  # Preprocessing time       : 0.011 s
% 0.33/24.50  
% 0.33/24.50  # Proof found!
% 0.33/24.50  # SZS status Theorem
% 0.33/24.50  # SZS output start CNFRefutation
% See solution above
% 0.33/24.50  # Proof object total steps             : 106
% 0.33/24.50  # Proof object clause steps            : 101
% 0.33/24.50  # Proof object formula steps           : 5
% 0.33/24.50  # Proof object conjectures             : 67
% 0.33/24.50  # Proof object clause conjectures      : 64
% 0.33/24.50  # Proof object formula conjectures     : 3
% 0.33/24.50  # Proof object initial clauses used    : 37
% 0.33/24.50  # Proof object initial formulas used   : 2
% 0.33/24.50  # Proof object generating inferences   : 54
% 0.33/24.50  # Proof object simplifying inferences  : 127
% 0.33/24.50  # Training examples: 0 positive, 0 negative
% 0.33/24.50  # Parsed axioms                        : 19
% 0.33/24.50  # Removed by relevancy pruning/SinE    : 13
% 0.33/24.50  # Initial clauses                      : 131
% 0.33/24.50  # Removed in clause preprocessing      : 0
% 0.33/24.50  # Initial clauses in saturation        : 131
% 0.33/24.50  # Processed clauses                    : 2183
% 0.33/24.50  # ...of these trivial                  : 11
% 0.33/24.50  # ...subsumed                          : 906
% 0.33/24.50  # ...remaining for further processing  : 1266
% 0.33/24.50  # Other redundant clauses eliminated   : 65
% 0.33/24.50  # Clauses deleted for lack of memory   : 0
% 0.33/24.50  # Backward-subsumed                    : 146
% 0.33/24.50  # Backward-rewritten                   : 71
% 0.33/24.50  # Generated clauses                    : 26509
% 0.33/24.50  # ...of the previous two non-trivial   : 26205
% 0.33/24.50  # Contextual simplify-reflections      : 1545
% 0.33/24.50  # Paramodulations                      : 26424
% 0.33/24.50  # Factorizations                       : 6
% 0.33/24.50  # Equation resolutions                 : 100
% 0.33/24.50  # Current number of processed clauses  : 1016
% 0.33/24.50  #    Positive orientable unit clauses  : 8
% 0.33/24.50  #    Positive unorientable unit clauses: 0
% 0.33/24.50  #    Negative unit clauses             : 11
% 0.33/24.50  #    Non-unit-clauses                  : 997
% 0.33/24.50  # Current number of unprocessed clauses: 18783
% 0.33/24.50  # ...number of literals in the above   : 193489
% 0.33/24.50  # Current number of archived formulas  : 0
% 0.33/24.50  # Current number of archived clauses   : 222
% 0.33/24.50  # Clause-clause subsumption calls (NU) : 240502
% 0.33/24.50  # Rec. Clause-clause subsumption calls : 17100
% 0.33/24.50  # Non-unit clause-clause subsumptions  : 2548
% 0.33/24.50  # Unit Clause-clause subsumption calls : 1914
% 0.33/24.50  # Rewrite failures with RHS unbound    : 0
% 0.33/24.50  # BW rewrite match attempts            : 9
% 0.33/24.50  # BW rewrite match successes           : 4
% 0.33/24.50  # Condensation attempts                : 0
% 0.33/24.50  # Condensation successes               : 0
% 0.33/24.50  # Termbank termtop insertions          : 1161430
% 0.33/24.50  
% 0.33/24.50  # -------------------------------------------------
% 0.33/24.50  # User time                : 0.799 s
% 0.33/24.50  # System time              : 0.012 s
% 0.33/24.50  # Total time               : 0.811 s
% 0.33/24.50  # Maximum resident set size: 25204 pages
% 0.33/46.39  eprover: CPU time limit exceeded, terminating
% 0.33/46.40  eprover: CPU time limit exceeded, terminating
% 0.33/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.41  eprover: No such file or directory
% 0.33/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.41  eprover: No such file or directory
% 0.33/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.41  eprover: No such file or directory
% 0.33/46.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.42  eprover: No such file or directory
% 0.33/46.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.42  eprover: No such file or directory
% 0.33/46.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.42  eprover: No such file or directory
% 0.33/46.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.42  eprover: No such file or directory
% 0.33/46.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.43  eprover: No such file or directory
% 0.33/46.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.43  eprover: No such file or directory
% 0.33/46.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.43  eprover: No such file or directory
% 0.33/46.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.43  eprover: No such file or directory
% 0.33/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.44  eprover: No such file or directory
% 0.33/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.44  eprover: No such file or directory
% 0.33/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.44  eprover: No such file or directory
% 0.33/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.44  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.45  eprover: No such file or directory
% 0.33/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/46.46  eprover: No such file or directory
%------------------------------------------------------------------------------