TSTP Solution File: LCL650+1.001 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : LCL650+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 19:09:13 EST 2010

% Result   : Theorem 0.24s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   51 (  10 unt;   0 def)
%            Number of atoms       :  501 (   0 equ)
%            Maximal formula atoms :   64 (   9 avg)
%            Number of connectives :  810 ( 360   ~; 309   |; 141   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  192 (   0 sgn 105   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ( ~ p8(X1)
                            & ~ p6(X1)
                            & ~ p4(X1)
                            & ~ p2(X1) ) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p5(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ~ ( ( ~ p3(X1)
                                        & ~ p1(X1) )
                                      | ( p1(X1)
                                        & p3(X1) ) ) ) ) )
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | p4(X1) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ( ( ~ p2(X1)
                                              & ~ p3(X1) )
                                            | ( p3(X1)
                                              & p2(X1) ) ) ) )
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p3(X2) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( ~ p1(X1)
                                                  & ~ p2(X1) )
                                                | ( p2(X1)
                                                  & p1(X1) ) ) ) ) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ( p4(X1)
                            & p3(X1)
                            & p2(X1)
                            & p1(X1) ) ) ) ) ) ),
    file('/tmp/tmpCcj_3_/sel_LCL650+1.001.p_1',main) ).

fof(2,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ( ~ p8(X1)
                              & ~ p6(X1)
                              & ~ p4(X1)
                              & ~ p2(X1) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p5(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( ~ p3(X1)
                                          & ~ p1(X1) )
                                        | ( p1(X1)
                                          & p3(X1) ) ) ) ) )
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | p4(X1) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ( ( ~ p2(X1)
                                                & ~ p3(X1) )
                                              | ( p3(X1)
                                                & p2(X1) ) ) ) )
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p3(X2) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ( ~ p1(X1)
                                                    & ~ p2(X1) )
                                                  | ( p2(X1)
                                                    & p1(X1) ) ) ) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ( p4(X1)
                              & p3(X1)
                              & p2(X1)
                              & p1(X1) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ( ~ p8(X1)
                              & ~ p6(X1)
                              & ~ p4(X1)
                              & ~ p2(X1) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p5(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( ~ p3(X1)
                                          & ~ p1(X1) )
                                        | ( p1(X1)
                                          & p3(X1) ) ) ) ) )
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | p4(X1) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ( ( ~ p2(X1)
                                                & ~ p3(X1) )
                                              | ( p3(X1)
                                                & p2(X1) ) ) ) )
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p3(X2) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ( ~ p1(X1)
                                                    & ~ p2(X1) )
                                                  | ( p2(X1)
                                                    & p1(X1) ) ) ) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ( p4(X1)
                              & p3(X1)
                              & p2(X1)
                              & p1(X1) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ? [X1] :
      ( ? [X2] :
          ( r1(X1,X2)
          & ? [X1] :
              ( r1(X2,X1)
              & ? [X2] :
                  ( r1(X1,X2)
                  & ? [X1] :
                      ( r1(X2,X1)
                      & ( p8(X1)
                        | p6(X1)
                        | p4(X1)
                        | p2(X1) ) ) ) ) )
      & ? [X2] :
          ( r1(X1,X2)
          & ~ p5(X2) )
      & ! [X2] :
          ( ~ r1(X1,X2)
          | ( ! [X1] :
                ( ~ r1(X2,X1)
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ( ( p3(X1)
                            | p1(X1) )
                          & ( ~ p1(X1)
                            | ~ p3(X1) ) ) ) ) )
            & ? [X1] :
                ( r1(X2,X1)
                & ~ p4(X1) )
            & ! [X1] :
                ( ~ r1(X2,X1)
                | ( ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ( ( p2(X1)
                              | p3(X1) )
                            & ( ~ p3(X1)
                              | ~ p2(X1) ) ) ) )
                  & ? [X2] :
                      ( r1(X1,X2)
                      & ~ p3(X2) )
                  & ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ( ( p1(X1)
                              | p2(X1) )
                            & ( ~ p2(X1)
                              | ~ p1(X1) ) ) ) ) ) ) ) )
      & ? [X2] :
          ( r1(X1,X2)
          & ? [X1] :
              ( r1(X2,X1)
              & ? [X2] :
                  ( r1(X1,X2)
                  & ? [X1] :
                      ( r1(X2,X1)
                      & ( ~ p4(X1)
                        | ~ p3(X1)
                        | ~ p2(X1)
                        | ~ p1(X1) ) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ? [X3] :
      ( ? [X4] :
          ( r1(X3,X4)
          & ? [X5] :
              ( r1(X4,X5)
              & ? [X6] :
                  ( r1(X5,X6)
                  & ? [X7] :
                      ( r1(X6,X7)
                      & ( p8(X7)
                        | p6(X7)
                        | p4(X7)
                        | p2(X7) ) ) ) ) )
      & ? [X8] :
          ( r1(X3,X8)
          & ~ p5(X8) )
      & ! [X9] :
          ( ~ r1(X3,X9)
          | ( ! [X10] :
                ( ~ r1(X9,X10)
                | ! [X11] :
                    ( ~ r1(X10,X11)
                    | ! [X12] :
                        ( ~ r1(X11,X12)
                        | ( ( p3(X12)
                            | p1(X12) )
                          & ( ~ p1(X12)
                            | ~ p3(X12) ) ) ) ) )
            & ? [X13] :
                ( r1(X9,X13)
                & ~ p4(X13) )
            & ! [X14] :
                ( ~ r1(X9,X14)
                | ( ! [X15] :
                      ( ~ r1(X14,X15)
                      | ! [X16] :
                          ( ~ r1(X15,X16)
                          | ( ( p2(X16)
                              | p3(X16) )
                            & ( ~ p3(X16)
                              | ~ p2(X16) ) ) ) )
                  & ? [X17] :
                      ( r1(X14,X17)
                      & ~ p3(X17) )
                  & ! [X18] :
                      ( ~ r1(X14,X18)
                      | ! [X19] :
                          ( ~ r1(X18,X19)
                          | ( ( p1(X19)
                              | p2(X19) )
                            & ( ~ p2(X19)
                              | ~ p1(X19) ) ) ) ) ) ) ) )
      & ? [X20] :
          ( r1(X3,X20)
          & ? [X21] :
              ( r1(X20,X21)
              & ? [X22] :
                  ( r1(X21,X22)
                  & ? [X23] :
                      ( r1(X22,X23)
                      & ( ~ p4(X23)
                        | ~ p3(X23)
                        | ~ p2(X23)
                        | ~ p1(X23) ) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ( r1(esk1_0,esk2_0)
    & r1(esk2_0,esk3_0)
    & r1(esk3_0,esk4_0)
    & r1(esk4_0,esk5_0)
    & ( p8(esk5_0)
      | p6(esk5_0)
      | p4(esk5_0)
      | p2(esk5_0) )
    & r1(esk1_0,esk6_0)
    & ~ p5(esk6_0)
    & ! [X9] :
        ( ~ r1(esk1_0,X9)
        | ( ! [X10] :
              ( ~ r1(X9,X10)
              | ! [X11] :
                  ( ~ r1(X10,X11)
                  | ! [X12] :
                      ( ~ r1(X11,X12)
                      | ( ( p3(X12)
                          | p1(X12) )
                        & ( ~ p1(X12)
                          | ~ p3(X12) ) ) ) ) )
          & r1(X9,esk7_1(X9))
          & ~ p4(esk7_1(X9))
          & ! [X14] :
              ( ~ r1(X9,X14)
              | ( ! [X15] :
                    ( ~ r1(X14,X15)
                    | ! [X16] :
                        ( ~ r1(X15,X16)
                        | ( ( p2(X16)
                            | p3(X16) )
                          & ( ~ p3(X16)
                            | ~ p2(X16) ) ) ) )
                & r1(X14,esk8_2(X9,X14))
                & ~ p3(esk8_2(X9,X14))
                & ! [X18] :
                    ( ~ r1(X14,X18)
                    | ! [X19] :
                        ( ~ r1(X18,X19)
                        | ( ( p1(X19)
                            | p2(X19) )
                          & ( ~ p2(X19)
                            | ~ p1(X19) ) ) ) ) ) ) ) )
    & r1(esk1_0,esk9_0)
    & r1(esk9_0,esk10_0)
    & r1(esk10_0,esk11_0)
    & r1(esk11_0,esk12_0)
    & ( ~ p4(esk12_0)
      | ~ p3(esk12_0)
      | ~ p2(esk12_0)
      | ~ p1(esk12_0) ) ),
    inference(skolemize,[status(esa)],[5]) ).

fof(7,negated_conjecture,
    ! [X9,X10,X11,X12,X14,X15,X16,X18,X19] :
      ( ( ( ( ( ( ~ r1(X18,X19)
                | ( ( p1(X19)
                    | p2(X19) )
                  & ( ~ p2(X19)
                    | ~ p1(X19) ) )
                | ~ r1(X14,X18) )
              & ( ~ r1(X15,X16)
                | ( ( p2(X16)
                    | p3(X16) )
                  & ( ~ p3(X16)
                    | ~ p2(X16) ) )
                | ~ r1(X14,X15) )
              & r1(X14,esk8_2(X9,X14))
              & ~ p3(esk8_2(X9,X14)) )
            | ~ r1(X9,X14) )
          & ( ~ r1(X11,X12)
            | ( ( p3(X12)
                | p1(X12) )
              & ( ~ p1(X12)
                | ~ p3(X12) ) )
            | ~ r1(X10,X11)
            | ~ r1(X9,X10) )
          & r1(X9,esk7_1(X9))
          & ~ p4(esk7_1(X9)) )
        | ~ r1(esk1_0,X9) )
      & r1(esk1_0,esk2_0)
      & r1(esk2_0,esk3_0)
      & r1(esk3_0,esk4_0)
      & r1(esk4_0,esk5_0)
      & ( p8(esk5_0)
        | p6(esk5_0)
        | p4(esk5_0)
        | p2(esk5_0) )
      & r1(esk1_0,esk6_0)
      & ~ p5(esk6_0)
      & r1(esk1_0,esk9_0)
      & r1(esk9_0,esk10_0)
      & r1(esk10_0,esk11_0)
      & r1(esk11_0,esk12_0)
      & ( ~ p4(esk12_0)
        | ~ p3(esk12_0)
        | ~ p2(esk12_0)
        | ~ p1(esk12_0) ) ),
    inference(shift_quantors,[status(thm)],[6]) ).

fof(8,negated_conjecture,
    ! [X9,X10,X11,X12,X14,X15,X16,X18,X19] :
      ( ( p1(X19)
        | p2(X19)
        | ~ r1(X18,X19)
        | ~ r1(X14,X18)
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( ~ p2(X19)
        | ~ p1(X19)
        | ~ r1(X18,X19)
        | ~ r1(X14,X18)
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( p2(X16)
        | p3(X16)
        | ~ r1(X15,X16)
        | ~ r1(X14,X15)
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( ~ p3(X16)
        | ~ p2(X16)
        | ~ r1(X15,X16)
        | ~ r1(X14,X15)
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( r1(X14,esk8_2(X9,X14))
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( ~ p3(esk8_2(X9,X14))
        | ~ r1(X9,X14)
        | ~ r1(esk1_0,X9) )
      & ( p3(X12)
        | p1(X12)
        | ~ r1(X11,X12)
        | ~ r1(X10,X11)
        | ~ r1(X9,X10)
        | ~ r1(esk1_0,X9) )
      & ( ~ p1(X12)
        | ~ p3(X12)
        | ~ r1(X11,X12)
        | ~ r1(X10,X11)
        | ~ r1(X9,X10)
        | ~ r1(esk1_0,X9) )
      & ( r1(X9,esk7_1(X9))
        | ~ r1(esk1_0,X9) )
      & ( ~ p4(esk7_1(X9))
        | ~ r1(esk1_0,X9) )
      & r1(esk1_0,esk2_0)
      & r1(esk2_0,esk3_0)
      & r1(esk3_0,esk4_0)
      & r1(esk4_0,esk5_0)
      & ( p8(esk5_0)
        | p6(esk5_0)
        | p4(esk5_0)
        | p2(esk5_0) )
      & r1(esk1_0,esk6_0)
      & ~ p5(esk6_0)
      & r1(esk1_0,esk9_0)
      & r1(esk9_0,esk10_0)
      & r1(esk10_0,esk11_0)
      & r1(esk11_0,esk12_0)
      & ( ~ p4(esk12_0)
        | ~ p3(esk12_0)
        | ~ p2(esk12_0)
        | ~ p1(esk12_0) ) ),
    inference(distribute,[status(thm)],[7]) ).

cnf(17,negated_conjecture,
    r1(esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(18,negated_conjecture,
    r1(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(19,negated_conjecture,
    r1(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(20,negated_conjecture,
    r1(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(23,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ p3(X4)
    | ~ p1(X4) ),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(24,negated_conjecture,
    ( p1(X4)
    | p3(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4) ),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(27,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ p2(X4)
    | ~ p3(X4) ),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(28,negated_conjecture,
    ( p3(X4)
    | p2(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4) ),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(29,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ p1(X4)
    | ~ p2(X4) ),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(30,negated_conjecture,
    ( p2(X4)
    | p1(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4) ),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(32,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk2_0,X3) ),
    inference(spm,[status(thm)],[27,20,theory(equality)]) ).

cnf(33,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk2_0,X3) ),
    inference(spm,[status(thm)],[29,20,theory(equality)]) ).

cnf(34,negated_conjecture,
    ( ~ p1(X1)
    | ~ p3(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk2_0,X3) ),
    inference(spm,[status(thm)],[23,20,theory(equality)]) ).

cnf(49,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk2_0,X3) ),
    inference(spm,[status(thm)],[28,20,theory(equality)]) ).

cnf(52,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk2_0,X3) ),
    inference(spm,[status(thm)],[30,20,theory(equality)]) ).

cnf(55,negated_conjecture,
    ( p1(X1)
    | p3(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk2_0,X3) ),
    inference(spm,[status(thm)],[24,20,theory(equality)]) ).

cnf(62,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk3_0,X2) ),
    inference(spm,[status(thm)],[32,19,theory(equality)]) ).

cnf(64,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[62,18,theory(equality)]) ).

cnf(65,negated_conjecture,
    ( ~ p3(esk5_0)
    | ~ p2(esk5_0) ),
    inference(spm,[status(thm)],[64,17,theory(equality)]) ).

cnf(70,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk3_0,X2) ),
    inference(spm,[status(thm)],[49,19,theory(equality)]) ).

cnf(72,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[70,18,theory(equality)]) ).

cnf(73,negated_conjecture,
    ( p3(esk5_0)
    | p2(esk5_0) ),
    inference(spm,[status(thm)],[72,17,theory(equality)]) ).

cnf(84,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk3_0,X2) ),
    inference(spm,[status(thm)],[33,19,theory(equality)]) ).

cnf(86,negated_conjecture,
    ( ~ p1(X1)
    | ~ p3(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk3_0,X2) ),
    inference(spm,[status(thm)],[34,19,theory(equality)]) ).

cnf(88,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[84,18,theory(equality)]) ).

cnf(90,negated_conjecture,
    ( ~ p1(esk5_0)
    | ~ p2(esk5_0) ),
    inference(spm,[status(thm)],[88,17,theory(equality)]) ).

cnf(91,negated_conjecture,
    ( ~ p1(X1)
    | ~ p3(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[86,18,theory(equality)]) ).

cnf(93,negated_conjecture,
    ( ~ p1(esk5_0)
    | ~ p3(esk5_0) ),
    inference(spm,[status(thm)],[91,17,theory(equality)]) ).

cnf(95,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk3_0,X2) ),
    inference(spm,[status(thm)],[52,19,theory(equality)]) ).

cnf(97,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[95,18,theory(equality)]) ).

cnf(99,negated_conjecture,
    ( p1(esk5_0)
    | p2(esk5_0) ),
    inference(spm,[status(thm)],[97,17,theory(equality)]) ).

cnf(101,negated_conjecture,
    ( p2(esk5_0)
    | ~ p3(esk5_0) ),
    inference(spm,[status(thm)],[93,99,theory(equality)]) ).

cnf(102,negated_conjecture,
    p2(esk5_0),
    inference(csr,[status(thm)],[101,73]) ).

cnf(104,negated_conjecture,
    ( ~ p1(esk5_0)
    | $false ),
    inference(rw,[status(thm)],[90,102,theory(equality)]) ).

cnf(105,negated_conjecture,
    ~ p1(esk5_0),
    inference(cn,[status(thm)],[104,theory(equality)]) ).

cnf(107,negated_conjecture,
    ( ~ p3(esk5_0)
    | $false ),
    inference(rw,[status(thm)],[65,102,theory(equality)]) ).

cnf(108,negated_conjecture,
    ~ p3(esk5_0),
    inference(cn,[status(thm)],[107,theory(equality)]) ).

cnf(123,negated_conjecture,
    ( p1(X1)
    | p3(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk3_0,X2) ),
    inference(spm,[status(thm)],[55,19,theory(equality)]) ).

cnf(125,negated_conjecture,
    ( p1(X1)
    | p3(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[123,18,theory(equality)]) ).

cnf(127,negated_conjecture,
    ( p1(esk5_0)
    | p3(esk5_0) ),
    inference(spm,[status(thm)],[125,17,theory(equality)]) ).

cnf(128,negated_conjecture,
    p3(esk5_0),
    inference(sr,[status(thm)],[127,105,theory(equality)]) ).

cnf(129,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[128,108,theory(equality)]) ).

cnf(130,negated_conjecture,
    $false,
    129,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL650+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmpCcj_3_/sel_LCL650+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL650+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL650+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL650+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
% 
%------------------------------------------------------------------------------