TSTP Solution File: LCL644+1.001 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : LCL644+1.001 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 18:56:41 EST 2010

% Result   : Theorem 0.29s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :  716 (   0 equ)
%            Maximal formula atoms :  370 (  51 avg)
%            Number of connectives : 1146 ( 444   ~; 530   |; 171   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   57 (  18 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :  123 (   0 sgn 107   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ? [X1] :
        ~ ( ~ ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p2(X2)
                      & ! [X1] :
                          ( ~ r1(X2,X1)
                          | p2(X1) ) )
                  | p1(X2) )
              | ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2)
                  | ~ ( p1(X2)
                      & ! [X1] :
                          ( ~ r1(X2,X1)
                          | p1(X1) )
                      & p1(X2) ) )
              | ~ ( ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p2(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p2(X2) ) )
                          | p1(X1) )
                      | p2(X2)
                      | ~ ( p1(X2)
                          & ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) )
                          & p1(X2) ) )
                  & ! [X2] :
                      ( ~ r1(X1,X2)
                      | ~ ( p2(X2)
                          & ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) ) )
                      | p1(X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | p2(X1)
                          | ~ ( p1(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) )
                              & p1(X1) ) ) )
                  & ! [X2] :
                      ( ~ r1(X1,X2)
                      | ~ ( p2(X2)
                          & ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) ) )
                      | p1(X2)
                      | p2(X2)
                      | ~ ( p1(X2)
                          & ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) )
                          & p1(X2) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p1(X2)
              | ~ ( ! [X1] :
                      ( ~ r1(X2,X1)
                      | p1(X1) )
                  & p1(X2) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p1(X2)
              | ~ ( ! [X1] :
                      ( ~ r1(X2,X1)
                      | p1(X1) )
                  & p1(X2) ) ) ),
    file('/tmp/tmpIPxlln/sel_LCL644+1.001.p_1',main) ).

fof(2,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( p2(X2)
                        & ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1) ) )
                    | p1(X2) )
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2)
                    | ~ ( p1(X2)
                        & ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) )
                        & p1(X2) ) )
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( p2(X1)
                                & ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p2(X2) ) )
                            | p1(X1) )
                        | p2(X2)
                        | ~ ( p1(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p1(X1) )
                            & p1(X2) ) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p2(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p2(X1) ) )
                        | p1(X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1)
                            | ~ ( p1(X1)
                                & ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p1(X2) )
                                & p1(X1) ) ) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p2(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p2(X1) ) )
                        | p1(X2)
                        | p2(X2)
                        | ~ ( p1(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p1(X1) )
                            & p1(X2) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2)
                | ~ ( ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) )
                    & p1(X2) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2)
                | ~ ( ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) )
                    & p1(X2) ) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( p2(X2)
                        & ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1) ) )
                    | p1(X2) )
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2)
                    | ~ ( p1(X2)
                        & ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) )
                        & p1(X2) ) )
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( p2(X1)
                                & ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p2(X2) ) )
                            | p1(X1) )
                        | p2(X2)
                        | ~ ( p1(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p1(X1) )
                            & p1(X2) ) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p2(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p2(X1) ) )
                        | p1(X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1)
                            | ~ ( p1(X1)
                                & ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p1(X2) )
                                & p1(X1) ) ) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p2(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p2(X1) ) )
                        | p1(X2)
                        | p2(X2)
                        | ~ ( p1(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p1(X1) )
                            & p1(X2) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2)
                | ~ ( ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) )
                    & p1(X2) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2)
                | ~ ( ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) )
                    & p1(X2) ) ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,plain,
    ! [X1] :
      ( ( ! [X2] :
            ( ~ r1(X1,X2)
            | ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p2(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p2(X2) ) )
                | p1(X1) )
            | p2(X2)
            | ~ ( p1(X2)
                & ! [X1] :
                    ( ~ r1(X2,X1)
                    | p1(X1) )
                & p1(X2) ) )
        & ! [X2] :
            ( ~ r1(X1,X2)
            | ~ ( p2(X2)
                & ! [X1] :
                    ( ~ r1(X2,X1)
                    | p2(X1) ) )
            | p1(X2)
            | ! [X1] :
                ( ~ r1(X2,X1)
                | p2(X1)
                | ~ ( p1(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) )
                    & p1(X1) ) ) ) )
     => epred1_1(X1) ),
    introduced(definition) ).

fof(5,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( p2(X2)
                        & ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1) ) )
                    | p1(X2) )
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2)
                    | ~ ( p1(X2)
                        & ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) )
                        & p1(X2) ) )
                | ~ ( epred1_1(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p2(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p2(X1) ) )
                        | p1(X2)
                        | p2(X2)
                        | ~ ( p1(X2)
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | p1(X1) )
                            & p1(X2) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2)
                | ~ ( ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) )
                    & p1(X2) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2)
                | ~ ( ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) )
                    & p1(X2) ) ) ),
    inference(apply_def,[status(esa)],[3,4,theory(equality)]) ).

fof(6,negated_conjecture,
    ? [X1] :
      ( ( ! [X2] :
            ( ~ r1(X1,X2)
            | ~ p2(X2)
            | ? [X1] :
                ( r1(X2,X1)
                & ~ p2(X1) )
            | p1(X2) )
        | ! [X2] :
            ( ~ r1(X1,X2)
            | p2(X2)
            | ~ p1(X2)
            | ? [X1] :
                ( r1(X2,X1)
                & ~ p1(X1) )
            | ~ p1(X2) )
        | ~ epred1_1(X1)
        | ? [X2] :
            ( r1(X1,X2)
            & p2(X2)
            & ! [X1] :
                ( ~ r1(X2,X1)
                | p2(X1) )
            & ~ p1(X2)
            & ~ p2(X2)
            & p1(X2)
            & ! [X1] :
                ( ~ r1(X2,X1)
                | p1(X1) )
            & p1(X2) ) )
      & ? [X2] :
          ( r1(X1,X2)
          & ~ p1(X2)
          & ! [X1] :
              ( ~ r1(X2,X1)
              | p1(X1) )
          & p1(X2) )
      & ? [X2] :
          ( r1(X1,X2)
          & ~ p1(X2)
          & ! [X1] :
              ( ~ r1(X2,X1)
              | p1(X1) )
          & p1(X2) ) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ? [X3] :
      ( ( ! [X4] :
            ( ~ r1(X3,X4)
            | ~ p2(X4)
            | ? [X5] :
                ( r1(X4,X5)
                & ~ p2(X5) )
            | p1(X4) )
        | ! [X6] :
            ( ~ r1(X3,X6)
            | p2(X6)
            | ~ p1(X6)
            | ? [X7] :
                ( r1(X6,X7)
                & ~ p1(X7) )
            | ~ p1(X6) )
        | ~ epred1_1(X3)
        | ? [X8] :
            ( r1(X3,X8)
            & p2(X8)
            & ! [X9] :
                ( ~ r1(X8,X9)
                | p2(X9) )
            & ~ p1(X8)
            & ~ p2(X8)
            & p1(X8)
            & ! [X10] :
                ( ~ r1(X8,X10)
                | p1(X10) )
            & p1(X8) ) )
      & ? [X11] :
          ( r1(X3,X11)
          & ~ p1(X11)
          & ! [X12] :
              ( ~ r1(X11,X12)
              | p1(X12) )
          & p1(X11) )
      & ? [X13] :
          ( r1(X3,X13)
          & ~ p1(X13)
          & ! [X14] :
              ( ~ r1(X13,X14)
              | p1(X14) )
          & p1(X13) ) ),
    inference(variable_rename,[status(thm)],[6]) ).

fof(8,negated_conjecture,
    ( ( ! [X4] :
          ( ~ r1(esk1_0,X4)
          | ~ p2(X4)
          | ( r1(X4,esk2_1(X4))
            & ~ p2(esk2_1(X4)) )
          | p1(X4) )
      | ! [X6] :
          ( ~ r1(esk1_0,X6)
          | p2(X6)
          | ~ p1(X6)
          | ( r1(X6,esk3_1(X6))
            & ~ p1(esk3_1(X6)) )
          | ~ p1(X6) )
      | ~ epred1_1(esk1_0)
      | ( r1(esk1_0,esk4_0)
        & p2(esk4_0)
        & ! [X9] :
            ( ~ r1(esk4_0,X9)
            | p2(X9) )
        & ~ p1(esk4_0)
        & ~ p2(esk4_0)
        & p1(esk4_0)
        & ! [X10] :
            ( ~ r1(esk4_0,X10)
            | p1(X10) )
        & p1(esk4_0) ) )
    & r1(esk1_0,esk5_0)
    & ~ p1(esk5_0)
    & ! [X12] :
        ( ~ r1(esk5_0,X12)
        | p1(X12) )
    & p1(esk5_0)
    & r1(esk1_0,esk6_0)
    & ~ p1(esk6_0)
    & ! [X14] :
        ( ~ r1(esk6_0,X14)
        | p1(X14) )
    & p1(esk6_0) ),
    inference(skolemize,[status(esa)],[7]) ).

fof(9,negated_conjecture,
    ! [X4,X6,X9,X10,X12,X14] :
      ( ( ~ r1(esk6_0,X14)
        | p1(X14) )
      & p1(esk6_0)
      & r1(esk1_0,esk6_0)
      & ~ p1(esk6_0)
      & ( ~ r1(esk5_0,X12)
        | p1(X12) )
      & p1(esk5_0)
      & r1(esk1_0,esk5_0)
      & ~ p1(esk5_0)
      & ( ( ( ~ r1(esk4_0,X10)
            | p1(X10) )
          & p1(esk4_0)
          & p1(esk4_0)
          & ( ~ r1(esk4_0,X9)
            | p2(X9) )
          & p2(esk4_0)
          & r1(esk1_0,esk4_0)
          & ~ p1(esk4_0)
          & ~ p2(esk4_0) )
        | ~ epred1_1(esk1_0)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ p1(X6)
        | ( r1(X6,esk3_1(X6))
          & ~ p1(esk3_1(X6)) )
        | ~ p1(X6)
        | ~ r1(esk1_0,X4)
        | ~ p2(X4)
        | ( r1(X4,esk2_1(X4))
          & ~ p2(esk2_1(X4)) )
        | p1(X4) ) ),
    inference(shift_quantors,[status(thm)],[8]) ).

fof(10,negated_conjecture,
    ! [X4,X6,X9,X10,X12,X14] :
      ( ( ~ r1(esk6_0,X14)
        | p1(X14) )
      & p1(esk6_0)
      & r1(esk1_0,esk6_0)
      & ~ p1(esk6_0)
      & ( ~ r1(esk5_0,X12)
        | p1(X12) )
      & p1(esk5_0)
      & r1(esk1_0,esk5_0)
      & ~ p1(esk5_0)
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ r1(esk4_0,X10)
        | p1(X10)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ r1(esk4_0,X10)
        | p1(X10)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ r1(esk4_0,X10)
        | p1(X10)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ r1(esk4_0,X10)
        | p1(X10)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ r1(esk4_0,X9)
        | p2(X9)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ r1(esk4_0,X9)
        | p2(X9)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ r1(esk4_0,X9)
        | p2(X9)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ r1(esk4_0,X9)
        | p2(X9)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p2(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p2(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p2(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | p2(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | r1(esk1_0,esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | r1(esk1_0,esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | r1(esk1_0,esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | r1(esk1_0,esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ p1(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ p2(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | r1(X6,esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ p2(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( r1(X4,esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ p2(esk4_0)
        | ~ epred1_1(esk1_0) )
      & ( ~ p2(esk2_1(X4))
        | ~ p2(X4)
        | ~ r1(esk1_0,X4)
        | p1(X4)
        | ~ p1(esk3_1(X6))
        | ~ p1(X6)
        | ~ p1(X6)
        | ~ r1(esk1_0,X6)
        | p2(X6)
        | ~ p2(esk4_0)
        | ~ epred1_1(esk1_0) ) ),
    inference(distribute,[status(thm)],[9]) ).

cnf(43,negated_conjecture,
    ~ p1(esk5_0),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(45,negated_conjecture,
    p1(esk5_0),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(137,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[45,43,theory(equality)]) ).

cnf(138,negated_conjecture,
    $false,
    137,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL644+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmpIPxlln/sel_LCL644+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL644+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL644+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL644+1.001.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------