TSTP Solution File: LCL636+1.001 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : LCL636+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 18:35:17 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :  622 (   0 equ)
%            Maximal formula atoms :  114 (  28 avg)
%            Number of connectives : 1039 ( 439   ~; 369   |; 231   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :  106 (   0 sgn  92   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
          | ~ ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ( ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p2(X1)
                                  & ~ p102(X1)
                                  & p101(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p2(X1)
                                  & ~ p102(X1)
                                  & p101(X1) ) ) )
                      | ~ ( ~ p101(X2)
                          & p100(X2) ) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p2(X1)
                              | ~ p101(X1) )
                          | p2(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1)
                              | ~ p101(X1) )
                          | ~ p2(X2) ) )
                      | ~ p101(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p1(X1)
                              | ~ p100(X1) )
                          | p1(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1)
                              | ~ p100(X1) )
                          | ~ p1(X2) ) )
                      | ~ p100(X2) )
                    & ( p101(X2)
                      | ~ p102(X2) )
                    & ( p100(X2)
                      | ~ p101(X2) ) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p2(X2)
                            & ~ p102(X2)
                            & p101(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p2(X2)
                            & ~ p102(X2)
                            & p101(X2) ) ) )
                | ~ ( ~ p101(X1)
                    & p100(X1) ) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p2(X2)
                        | ~ p101(X2) )
                    | p2(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p2(X2)
                        | ~ p101(X2) )
                    | ~ p2(X1) ) )
                | ~ p101(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p1(X2)
                        | ~ p100(X2) )
                    | p1(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2)
                        | ~ p100(X2) )
                    | ~ p1(X1) ) )
                | ~ p100(X1) )
              & ( p101(X1)
                | ~ p102(X1) )
              & ( p100(X1)
                | ~ p101(X1) )
              & ~ p101(X1)
              & p100(X1) ) ),
    file('/tmp/tmp1WGW8r/sel_LCL636+1.001.p_1',main) ).

fof(2,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2) )
            | ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | ( ( ( ~ ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ ( ~ p2(X1)
                                    & ~ p102(X1)
                                    & p101(X1) ) )
                          & ~ ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ ( p2(X1)
                                    & ~ p102(X1)
                                    & p101(X1) ) ) )
                        | ~ ( ~ p101(X2)
                            & p100(X2) ) )
                      & ( ( ( ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ p2(X1)
                                | ~ p101(X1) )
                            | p2(X2) )
                          & ( ! [X1] :
                                ( ~ r1(X2,X1)
                                | p2(X1)
                                | ~ p101(X1) )
                            | ~ p2(X2) ) )
                        | ~ p101(X2) )
                      & ( ( ( ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ p1(X1)
                                | ~ p100(X1) )
                            | p1(X2) )
                          & ( ! [X1] :
                                ( ~ r1(X2,X1)
                                | p1(X1)
                                | ~ p100(X1) )
                            | ~ p1(X2) ) )
                        | ~ p100(X2) )
                      & ( p101(X2)
                        | ~ p102(X2) )
                      & ( p100(X2)
                        | ~ p101(X2) ) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p2(X2)
                              & ~ p102(X2)
                              & p101(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p2(X2)
                              & ~ p102(X2)
                              & p101(X2) ) ) )
                  | ~ ( ~ p101(X1)
                      & p100(X1) ) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p2(X2)
                          | ~ p101(X2) )
                      | p2(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p2(X2)
                          | ~ p101(X2) )
                      | ~ p2(X1) ) )
                  | ~ p101(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p1(X2)
                          | ~ p100(X2) )
                      | p1(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p1(X2)
                          | ~ p100(X2) )
                      | ~ p1(X1) ) )
                  | ~ p100(X1) )
                & ( p101(X1)
                  | ~ p102(X1) )
                & ( p100(X1)
                  | ~ p101(X1) )
                & ~ p101(X1)
                & p100(X1) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2) )
            | ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | ( ( ( ~ ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ ( ~ p2(X1)
                                    & ~ p102(X1)
                                    & p101(X1) ) )
                          & ~ ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ ( p2(X1)
                                    & ~ p102(X1)
                                    & p101(X1) ) ) )
                        | ~ ( ~ p101(X2)
                            & p100(X2) ) )
                      & ( ( ( ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ p2(X1)
                                | ~ p101(X1) )
                            | p2(X2) )
                          & ( ! [X1] :
                                ( ~ r1(X2,X1)
                                | p2(X1)
                                | ~ p101(X1) )
                            | ~ p2(X2) ) )
                        | ~ p101(X2) )
                      & ( ( ( ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ p1(X1)
                                | ~ p100(X1) )
                            | p1(X2) )
                          & ( ! [X1] :
                                ( ~ r1(X2,X1)
                                | p1(X1)
                                | ~ p100(X1) )
                            | ~ p1(X2) ) )
                        | ~ p100(X2) )
                      & ( p101(X2)
                        | ~ p102(X2) )
                      & ( p100(X2)
                        | ~ p101(X2) ) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p2(X2)
                              & ~ p102(X2)
                              & p101(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p2(X2)
                              & ~ p102(X2)
                              & p101(X2) ) ) )
                  | ~ ( ~ p101(X1)
                      & p100(X1) ) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p2(X2)
                          | ~ p101(X2) )
                      | p2(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p2(X2)
                          | ~ p101(X2) )
                      | ~ p2(X1) ) )
                  | ~ p101(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p1(X2)
                          | ~ p100(X2) )
                      | p1(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p1(X2)
                          | ~ p100(X2) )
                      | ~ p1(X1) ) )
                  | ~ p100(X1) )
                & ( p101(X1)
                  | ~ p102(X1) )
                & ( p100(X1)
                  | ~ p101(X1) )
                & ~ p101(X1)
                & p100(X1) ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ? [X1] :
      ( ! [X2] :
          ( ~ r1(X1,X2)
          | p2(X2) )
      & ! [X2] :
          ( ~ r1(X1,X2)
          | ( ( ( ? [X1] :
                    ( r1(X2,X1)
                    & ~ p2(X1)
                    & ~ p102(X1)
                    & p101(X1) )
                & ? [X1] :
                    ( r1(X2,X1)
                    & p2(X1)
                    & ~ p102(X1)
                    & p101(X1) ) )
              | p101(X2)
              | ~ p100(X2) )
            & ( ( ( ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ p2(X1)
                      | ~ p101(X1) )
                  | p2(X2) )
                & ( ! [X1] :
                      ( ~ r1(X2,X1)
                      | p2(X1)
                      | ~ p101(X1) )
                  | ~ p2(X2) ) )
              | ~ p101(X2) )
            & ( ( ( ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ p1(X1)
                      | ~ p100(X1) )
                  | p1(X2) )
                & ( ! [X1] :
                      ( ~ r1(X2,X1)
                      | p1(X1)
                      | ~ p100(X1) )
                  | ~ p1(X2) ) )
              | ~ p100(X2) )
            & ( p101(X2)
              | ~ p102(X2) )
            & ( p100(X2)
              | ~ p101(X2) ) ) )
      & ( ( ? [X2] :
              ( r1(X1,X2)
              & ~ p2(X2)
              & ~ p102(X2)
              & p101(X2) )
          & ? [X2] :
              ( r1(X1,X2)
              & p2(X2)
              & ~ p102(X2)
              & p101(X2) ) )
        | p101(X1)
        | ~ p100(X1) )
      & ( ( ( ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p2(X2)
                | ~ p101(X2) )
            | p2(X1) )
          & ( ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2)
                | ~ p101(X2) )
            | ~ p2(X1) ) )
        | ~ p101(X1) )
      & ( ( ( ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p1(X2)
                | ~ p100(X2) )
            | p1(X1) )
          & ( ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2)
                | ~ p100(X2) )
            | ~ p1(X1) ) )
        | ~ p100(X1) )
      & ( p101(X1)
        | ~ p102(X1) )
      & ( p100(X1)
        | ~ p101(X1) )
      & ~ p101(X1)
      & p100(X1) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ? [X3] :
      ( ! [X4] :
          ( ~ r1(X3,X4)
          | p2(X4) )
      & ! [X5] :
          ( ~ r1(X3,X5)
          | ( ( ( ? [X6] :
                    ( r1(X5,X6)
                    & ~ p2(X6)
                    & ~ p102(X6)
                    & p101(X6) )
                & ? [X7] :
                    ( r1(X5,X7)
                    & p2(X7)
                    & ~ p102(X7)
                    & p101(X7) ) )
              | p101(X5)
              | ~ p100(X5) )
            & ( ( ( ! [X8] :
                      ( ~ r1(X5,X8)
                      | ~ p2(X8)
                      | ~ p101(X8) )
                  | p2(X5) )
                & ( ! [X9] :
                      ( ~ r1(X5,X9)
                      | p2(X9)
                      | ~ p101(X9) )
                  | ~ p2(X5) ) )
              | ~ p101(X5) )
            & ( ( ( ! [X10] :
                      ( ~ r1(X5,X10)
                      | ~ p1(X10)
                      | ~ p100(X10) )
                  | p1(X5) )
                & ( ! [X11] :
                      ( ~ r1(X5,X11)
                      | p1(X11)
                      | ~ p100(X11) )
                  | ~ p1(X5) ) )
              | ~ p100(X5) )
            & ( p101(X5)
              | ~ p102(X5) )
            & ( p100(X5)
              | ~ p101(X5) ) ) )
      & ( ( ? [X12] :
              ( r1(X3,X12)
              & ~ p2(X12)
              & ~ p102(X12)
              & p101(X12) )
          & ? [X13] :
              ( r1(X3,X13)
              & p2(X13)
              & ~ p102(X13)
              & p101(X13) ) )
        | p101(X3)
        | ~ p100(X3) )
      & ( ( ( ! [X14] :
                ( ~ r1(X3,X14)
                | ~ p2(X14)
                | ~ p101(X14) )
            | p2(X3) )
          & ( ! [X15] :
                ( ~ r1(X3,X15)
                | p2(X15)
                | ~ p101(X15) )
            | ~ p2(X3) ) )
        | ~ p101(X3) )
      & ( ( ( ! [X16] :
                ( ~ r1(X3,X16)
                | ~ p1(X16)
                | ~ p100(X16) )
            | p1(X3) )
          & ( ! [X17] :
                ( ~ r1(X3,X17)
                | p1(X17)
                | ~ p100(X17) )
            | ~ p1(X3) ) )
        | ~ p100(X3) )
      & ( p101(X3)
        | ~ p102(X3) )
      & ( p100(X3)
        | ~ p101(X3) )
      & ~ p101(X3)
      & p100(X3) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ( ! [X4] :
        ( ~ r1(esk1_0,X4)
        | p2(X4) )
    & ! [X5] :
        ( ~ r1(esk1_0,X5)
        | ( ( ( r1(X5,esk2_1(X5))
              & ~ p2(esk2_1(X5))
              & ~ p102(esk2_1(X5))
              & p101(esk2_1(X5))
              & r1(X5,esk3_1(X5))
              & p2(esk3_1(X5))
              & ~ p102(esk3_1(X5))
              & p101(esk3_1(X5)) )
            | p101(X5)
            | ~ p100(X5) )
          & ( ( ( ! [X8] :
                    ( ~ r1(X5,X8)
                    | ~ p2(X8)
                    | ~ p101(X8) )
                | p2(X5) )
              & ( ! [X9] :
                    ( ~ r1(X5,X9)
                    | p2(X9)
                    | ~ p101(X9) )
                | ~ p2(X5) ) )
            | ~ p101(X5) )
          & ( ( ( ! [X10] :
                    ( ~ r1(X5,X10)
                    | ~ p1(X10)
                    | ~ p100(X10) )
                | p1(X5) )
              & ( ! [X11] :
                    ( ~ r1(X5,X11)
                    | p1(X11)
                    | ~ p100(X11) )
                | ~ p1(X5) ) )
            | ~ p100(X5) )
          & ( p101(X5)
            | ~ p102(X5) )
          & ( p100(X5)
            | ~ p101(X5) ) ) )
    & ( ( r1(esk1_0,esk4_0)
        & ~ p2(esk4_0)
        & ~ p102(esk4_0)
        & p101(esk4_0)
        & r1(esk1_0,esk5_0)
        & p2(esk5_0)
        & ~ p102(esk5_0)
        & p101(esk5_0) )
      | p101(esk1_0)
      | ~ p100(esk1_0) )
    & ( ( ( ! [X14] :
              ( ~ r1(esk1_0,X14)
              | ~ p2(X14)
              | ~ p101(X14) )
          | p2(esk1_0) )
        & ( ! [X15] :
              ( ~ r1(esk1_0,X15)
              | p2(X15)
              | ~ p101(X15) )
          | ~ p2(esk1_0) ) )
      | ~ p101(esk1_0) )
    & ( ( ( ! [X16] :
              ( ~ r1(esk1_0,X16)
              | ~ p1(X16)
              | ~ p100(X16) )
          | p1(esk1_0) )
        & ( ! [X17] :
              ( ~ r1(esk1_0,X17)
              | p1(X17)
              | ~ p100(X17) )
          | ~ p1(esk1_0) ) )
      | ~ p100(esk1_0) )
    & ( p101(esk1_0)
      | ~ p102(esk1_0) )
    & ( p100(esk1_0)
      | ~ p101(esk1_0) )
    & ~ p101(esk1_0)
    & p100(esk1_0) ),
    inference(skolemize,[status(esa)],[5]) ).

fof(7,negated_conjecture,
    ! [X4,X5,X8,X9,X10,X11,X14,X15,X16,X17] :
      ( ( ( ( ~ r1(esk1_0,X17)
            | p1(X17)
            | ~ p100(X17)
            | ~ p1(esk1_0) )
          & ( ~ r1(esk1_0,X16)
            | ~ p1(X16)
            | ~ p100(X16)
            | p1(esk1_0) ) )
        | ~ p100(esk1_0) )
      & ( ( ( ~ r1(esk1_0,X15)
            | p2(X15)
            | ~ p101(X15)
            | ~ p2(esk1_0) )
          & ( ~ r1(esk1_0,X14)
            | ~ p2(X14)
            | ~ p101(X14)
            | p2(esk1_0) ) )
        | ~ p101(esk1_0) )
      & ( ( ( ( ( ~ r1(X5,X11)
                | p1(X11)
                | ~ p100(X11)
                | ~ p1(X5) )
              & ( ~ r1(X5,X10)
                | ~ p1(X10)
                | ~ p100(X10)
                | p1(X5) ) )
            | ~ p100(X5) )
          & ( ( ( ~ r1(X5,X9)
                | p2(X9)
                | ~ p101(X9)
                | ~ p2(X5) )
              & ( ~ r1(X5,X8)
                | ~ p2(X8)
                | ~ p101(X8)
                | p2(X5) ) )
            | ~ p101(X5) )
          & ( ( r1(X5,esk2_1(X5))
              & ~ p2(esk2_1(X5))
              & ~ p102(esk2_1(X5))
              & p101(esk2_1(X5))
              & r1(X5,esk3_1(X5))
              & p2(esk3_1(X5))
              & ~ p102(esk3_1(X5))
              & p101(esk3_1(X5)) )
            | p101(X5)
            | ~ p100(X5) )
          & ( p101(X5)
            | ~ p102(X5) )
          & ( p100(X5)
            | ~ p101(X5) ) )
        | ~ r1(esk1_0,X5) )
      & ( ( r1(esk1_0,esk4_0)
          & ~ p2(esk4_0)
          & ~ p102(esk4_0)
          & p101(esk4_0)
          & r1(esk1_0,esk5_0)
          & p2(esk5_0)
          & ~ p102(esk5_0)
          & p101(esk5_0) )
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p101(esk1_0)
        | ~ p102(esk1_0) )
      & ( p100(esk1_0)
        | ~ p101(esk1_0) )
      & ~ p101(esk1_0)
      & p100(esk1_0)
      & ( ~ r1(esk1_0,X4)
        | p2(X4) ) ),
    inference(shift_quantors,[status(thm)],[6]) ).

fof(8,negated_conjecture,
    ! [X4,X5,X8,X9,X10,X11,X14,X15,X16,X17] :
      ( ( ~ r1(esk1_0,X17)
        | p1(X17)
        | ~ p100(X17)
        | ~ p1(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ r1(esk1_0,X16)
        | ~ p1(X16)
        | ~ p100(X16)
        | p1(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ r1(esk1_0,X15)
        | p2(X15)
        | ~ p101(X15)
        | ~ p2(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ r1(esk1_0,X14)
        | ~ p2(X14)
        | ~ p101(X14)
        | p2(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ r1(X5,X11)
        | p1(X11)
        | ~ p100(X11)
        | ~ p1(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(X5,X10)
        | ~ p1(X10)
        | ~ p100(X10)
        | p1(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(X5,X9)
        | p2(X9)
        | ~ p101(X9)
        | ~ p2(X5)
        | ~ p101(X5)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(X5,X8)
        | ~ p2(X8)
        | ~ p101(X8)
        | p2(X5)
        | ~ p101(X5)
        | ~ r1(esk1_0,X5) )
      & ( r1(X5,esk2_1(X5))
        | p101(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( ~ p2(esk2_1(X5))
        | p101(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( ~ p102(esk2_1(X5))
        | p101(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( p101(esk2_1(X5))
        | p101(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( r1(X5,esk3_1(X5))
        | p101(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( p2(esk3_1(X5))
        | p101(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( ~ p102(esk3_1(X5))
        | p101(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( p101(esk3_1(X5))
        | p101(X5)
        | ~ p100(X5)
        | ~ r1(esk1_0,X5) )
      & ( p101(X5)
        | ~ p102(X5)
        | ~ r1(esk1_0,X5) )
      & ( p100(X5)
        | ~ p101(X5)
        | ~ r1(esk1_0,X5) )
      & ( r1(esk1_0,esk4_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ p2(esk4_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ p102(esk4_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p101(esk4_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( r1(esk1_0,esk5_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p2(esk5_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ p102(esk5_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p101(esk5_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p101(esk1_0)
        | ~ p102(esk1_0) )
      & ( p100(esk1_0)
        | ~ p101(esk1_0) )
      & ~ p101(esk1_0)
      & p100(esk1_0)
      & ( ~ r1(esk1_0,X4)
        | p2(X4) ) ),
    inference(distribute,[status(thm)],[7]) ).

cnf(9,negated_conjecture,
    ( p2(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(10,negated_conjecture,
    p100(esk1_0),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(11,negated_conjecture,
    ~ p101(esk1_0),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(20,negated_conjecture,
    ( p101(esk1_0)
    | ~ p100(esk1_0)
    | ~ p2(esk4_0) ),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(21,negated_conjecture,
    ( p101(esk1_0)
    | r1(esk1_0,esk4_0)
    | ~ p100(esk1_0) ),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(51,negated_conjecture,
    ( p101(esk1_0)
    | ~ p2(esk4_0)
    | $false ),
    inference(rw,[status(thm)],[20,10,theory(equality)]) ).

cnf(52,negated_conjecture,
    ( p101(esk1_0)
    | ~ p2(esk4_0) ),
    inference(cn,[status(thm)],[51,theory(equality)]) ).

cnf(53,negated_conjecture,
    ~ p2(esk4_0),
    inference(sr,[status(thm)],[52,11,theory(equality)]) ).

cnf(60,negated_conjecture,
    ( p101(esk1_0)
    | r1(esk1_0,esk4_0)
    | $false ),
    inference(rw,[status(thm)],[21,10,theory(equality)]) ).

cnf(61,negated_conjecture,
    ( p101(esk1_0)
    | r1(esk1_0,esk4_0) ),
    inference(cn,[status(thm)],[60,theory(equality)]) ).

cnf(62,negated_conjecture,
    r1(esk1_0,esk4_0),
    inference(sr,[status(thm)],[61,11,theory(equality)]) ).

cnf(63,negated_conjecture,
    p2(esk4_0),
    inference(spm,[status(thm)],[9,62,theory(equality)]) ).

cnf(64,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[63,53,theory(equality)]) ).

cnf(65,negated_conjecture,
    $false,
    64,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL636+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmp1WGW8r/sel_LCL636+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL636+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL636+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL636+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
% 
%------------------------------------------------------------------------------