TSTP Solution File: LCL654+1.001 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : LCL654+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 : art06.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 19:21:25 EST 2010

% Result   : Theorem 0.47s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   71
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   89 (  13 unt;   0 def)
%            Number of atoms       :  579 (   0 equ)
%            Maximal formula atoms :   52 (   6 avg)
%            Number of connectives :  864 ( 374   ~; 415   |;  75   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :  228 (   0 sgn 122   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ p1(X2) ) )
                    & p1(X2) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | p1(X1) ) )
                        & ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p1(X1) ) ) )
                    & ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ $true ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | p1(X2) ) )
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | p1(X1) ) ) ),
    file('/tmp/tmpC2reQe/sel_LCL654+1.001.p_1',main) ).

fof(2,axiom,
    ! [X1] : r1(X1,X1),
    file('/tmp/tmpC2reQe/sel_LCL654+1.001.p_1',reflexivity) ).

fof(3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p1(X2) ) )
                      & p1(X2) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ( ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p1(X1) ) )
                          & ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | p1(X2) ) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) ) )
                      & ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ $true ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) ) )
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | p1(X1) ) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(4,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p1(X2) ) )
                      & p1(X2) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ( ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p1(X1) ) )
                          & ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | p1(X2) ) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) ) )
                      & ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ $true ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) ) )
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | p1(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).

fof(5,negated_conjecture,
    ? [X1] :
      ( ! [X2] :
          ( ~ r1(X1,X2)
          | ! [X1] :
              ( ~ r1(X2,X1)
              | ? [X2] :
                  ( r1(X1,X2)
                  & p1(X2) ) )
          | ~ p1(X2) )
      & ! [X2] :
          ( ~ r1(X1,X2)
          | ! [X1] :
              ( ~ r1(X2,X1)
              | ! [X2] :
                  ( ~ r1(X1,X2)
                  | ? [X1] :
                      ( r1(X2,X1)
                      & ~ p1(X1) ) )
              | ! [X2] :
                  ( ~ r1(X1,X2)
                  | p1(X2) ) ) )
      & ! [X2] :
          ( ~ r1(X1,X2)
          | ! [X1] :
              ( ~ r1(X2,X1)
              | ? [X2] :
                  ( r1(X1,X2)
                  & ! [X1] :
                      ( ~ r1(X2,X1)
                      | p1(X1) ) ) )
          | ! [X1] :
              ( ~ r1(X2,X1)
              | ? [X2] :
                  ( r1(X1,X2)
                  & ~ p1(X2) ) ) )
      & ! [X2] :
          ( ~ r1(X1,X2)
          | ? [X1] :
              ( r1(X2,X1)
              & $true ) )
      & ? [X2] :
          ( r1(X1,X2)
          & ? [X1] :
              ( r1(X2,X1)
              & ? [X2] :
                  ( r1(X1,X2)
                  & ~ p1(X2) ) )
          & ! [X1] :
              ( ~ r1(X2,X1)
              | p1(X1) ) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ? [X3] :
      ( ! [X4] :
          ( ~ r1(X3,X4)
          | ! [X5] :
              ( ~ r1(X4,X5)
              | ? [X6] :
                  ( r1(X5,X6)
                  & p1(X6) ) )
          | ~ p1(X4) )
      & ! [X7] :
          ( ~ r1(X3,X7)
          | ! [X8] :
              ( ~ r1(X7,X8)
              | ! [X9] :
                  ( ~ r1(X8,X9)
                  | ? [X10] :
                      ( r1(X9,X10)
                      & ~ p1(X10) ) )
              | ! [X11] :
                  ( ~ r1(X8,X11)
                  | p1(X11) ) ) )
      & ! [X12] :
          ( ~ r1(X3,X12)
          | ! [X13] :
              ( ~ r1(X12,X13)
              | ? [X14] :
                  ( r1(X13,X14)
                  & ! [X15] :
                      ( ~ r1(X14,X15)
                      | p1(X15) ) ) )
          | ! [X16] :
              ( ~ r1(X12,X16)
              | ? [X17] :
                  ( r1(X16,X17)
                  & ~ p1(X17) ) ) )
      & ! [X18] :
          ( ~ r1(X3,X18)
          | ? [X19] :
              ( r1(X18,X19)
              & $true ) )
      & ? [X20] :
          ( r1(X3,X20)
          & ? [X21] :
              ( r1(X20,X21)
              & ? [X22] :
                  ( r1(X21,X22)
                  & ~ p1(X22) ) )
          & ! [X23] :
              ( ~ r1(X20,X23)
              | p1(X23) ) ) ),
    inference(variable_rename,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ( ! [X4] :
        ( ~ r1(esk1_0,X4)
        | ! [X5] :
            ( ~ r1(X4,X5)
            | ( r1(X5,esk2_2(X4,X5))
              & p1(esk2_2(X4,X5)) ) )
        | ~ p1(X4) )
    & ! [X7] :
        ( ~ r1(esk1_0,X7)
        | ! [X8] :
            ( ~ r1(X7,X8)
            | ! [X9] :
                ( ~ r1(X8,X9)
                | ( r1(X9,esk3_3(X7,X8,X9))
                  & ~ p1(esk3_3(X7,X8,X9)) ) )
            | ! [X11] :
                ( ~ r1(X8,X11)
                | p1(X11) ) ) )
    & ! [X12] :
        ( ~ r1(esk1_0,X12)
        | ! [X13] :
            ( ~ r1(X12,X13)
            | ( r1(X13,esk4_2(X12,X13))
              & ! [X15] :
                  ( ~ r1(esk4_2(X12,X13),X15)
                  | p1(X15) ) ) )
        | ! [X16] :
            ( ~ r1(X12,X16)
            | ( r1(X16,esk5_2(X12,X16))
              & ~ p1(esk5_2(X12,X16)) ) ) )
    & ! [X18] :
        ( ~ r1(esk1_0,X18)
        | ( r1(X18,esk6_1(X18))
          & $true ) )
    & r1(esk1_0,esk7_0)
    & r1(esk7_0,esk8_0)
    & r1(esk8_0,esk9_0)
    & ~ p1(esk9_0)
    & ! [X23] :
        ( ~ r1(esk7_0,X23)
        | p1(X23) ) ),
    inference(skolemize,[status(esa)],[6]) ).

fof(8,negated_conjecture,
    ! [X4,X5,X7,X8,X9,X11,X12,X13,X15,X16,X18,X23] :
      ( ( ~ r1(esk7_0,X23)
        | p1(X23) )
      & r1(esk1_0,esk7_0)
      & r1(esk7_0,esk8_0)
      & r1(esk8_0,esk9_0)
      & ~ p1(esk9_0)
      & ( ~ r1(esk1_0,X18)
        | ( r1(X18,esk6_1(X18))
          & $true ) )
      & ( ~ r1(X12,X16)
        | ( r1(X16,esk5_2(X12,X16))
          & ~ p1(esk5_2(X12,X16)) )
        | ( ( ~ r1(esk4_2(X12,X13),X15)
            | p1(X15) )
          & r1(X13,esk4_2(X12,X13)) )
        | ~ r1(X12,X13)
        | ~ r1(esk1_0,X12) )
      & ( ~ r1(X8,X11)
        | p1(X11)
        | ~ r1(X8,X9)
        | ( r1(X9,esk3_3(X7,X8,X9))
          & ~ p1(esk3_3(X7,X8,X9)) )
        | ~ r1(X7,X8)
        | ~ r1(esk1_0,X7) )
      & ( ~ r1(X4,X5)
        | ( r1(X5,esk2_2(X4,X5))
          & p1(esk2_2(X4,X5)) )
        | ~ p1(X4)
        | ~ r1(esk1_0,X4) ) ),
    inference(shift_quantors,[status(thm)],[7]) ).

fof(9,negated_conjecture,
    ! [X4,X5,X7,X8,X9,X11,X12,X13,X15,X16,X18,X23] :
      ( ( ~ r1(esk7_0,X23)
        | p1(X23) )
      & r1(esk1_0,esk7_0)
      & r1(esk7_0,esk8_0)
      & r1(esk8_0,esk9_0)
      & ~ p1(esk9_0)
      & ( r1(X18,esk6_1(X18))
        | ~ r1(esk1_0,X18) )
      & ( $true
        | ~ r1(esk1_0,X18) )
      & ( ~ r1(esk4_2(X12,X13),X15)
        | p1(X15)
        | ~ r1(X12,X13)
        | r1(X16,esk5_2(X12,X16))
        | ~ r1(X12,X16)
        | ~ r1(esk1_0,X12) )
      & ( r1(X13,esk4_2(X12,X13))
        | ~ r1(X12,X13)
        | r1(X16,esk5_2(X12,X16))
        | ~ r1(X12,X16)
        | ~ r1(esk1_0,X12) )
      & ( ~ r1(esk4_2(X12,X13),X15)
        | p1(X15)
        | ~ r1(X12,X13)
        | ~ p1(esk5_2(X12,X16))
        | ~ r1(X12,X16)
        | ~ r1(esk1_0,X12) )
      & ( r1(X13,esk4_2(X12,X13))
        | ~ r1(X12,X13)
        | ~ p1(esk5_2(X12,X16))
        | ~ r1(X12,X16)
        | ~ r1(esk1_0,X12) )
      & ( r1(X9,esk3_3(X7,X8,X9))
        | ~ r1(X8,X9)
        | ~ r1(X8,X11)
        | p1(X11)
        | ~ r1(X7,X8)
        | ~ r1(esk1_0,X7) )
      & ( ~ p1(esk3_3(X7,X8,X9))
        | ~ r1(X8,X9)
        | ~ r1(X8,X11)
        | p1(X11)
        | ~ r1(X7,X8)
        | ~ r1(esk1_0,X7) )
      & ( r1(X5,esk2_2(X4,X5))
        | ~ r1(X4,X5)
        | ~ p1(X4)
        | ~ r1(esk1_0,X4) )
      & ( p1(esk2_2(X4,X5))
        | ~ r1(X4,X5)
        | ~ p1(X4)
        | ~ r1(esk1_0,X4) ) ),
    inference(distribute,[status(thm)],[8]) ).

cnf(12,negated_conjecture,
    ( p1(X3)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X2,X4)
    | ~ p1(esk3_3(X1,X2,X4)) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(13,negated_conjecture,
    ( p1(X3)
    | r1(X4,esk3_3(X1,X2,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X2,X4) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(14,negated_conjecture,
    ( r1(X3,esk4_2(X1,X3))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ p1(esk5_2(X1,X2))
    | ~ r1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(15,negated_conjecture,
    ( p1(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ p1(esk5_2(X1,X2))
    | ~ r1(X1,X3)
    | ~ r1(esk4_2(X1,X3),X4) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(16,negated_conjecture,
    ( r1(X2,esk5_2(X1,X2))
    | r1(X3,esk4_2(X1,X3))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(17,negated_conjecture,
    ( r1(X2,esk5_2(X1,X2))
    | p1(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X1,X3)
    | ~ r1(esk4_2(X1,X3),X4) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(20,negated_conjecture,
    ~ p1(esk9_0),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(21,negated_conjecture,
    r1(esk8_0,esk9_0),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(22,negated_conjecture,
    r1(esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(23,negated_conjecture,
    r1(esk1_0,esk7_0),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(24,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk7_0,X1) ),
    inference(split_conjunct,[status(thm)],[9]) ).

fof(25,plain,
    ! [X2] : r1(X2,X2),
    inference(variable_rename,[status(thm)],[2]) ).

cnf(26,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(28,negated_conjecture,
    ( r1(X1,esk4_2(X2,X1))
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X1)
    | ~ r1(X2,X3)
    | ~ r1(esk7_0,esk5_2(X2,X3)) ),
    inference(spm,[status(thm)],[14,24,theory(equality)]) ).

cnf(30,negated_conjecture,
    ( r1(X1,esk5_2(esk7_0,X1))
    | r1(X2,esk4_2(esk7_0,X2))
    | ~ r1(esk7_0,X2)
    | ~ r1(esk7_0,X1) ),
    inference(spm,[status(thm)],[16,23,theory(equality)]) ).

cnf(41,negated_conjecture,
    ( p1(esk9_0)
    | r1(X1,esk3_3(X2,esk8_0,X1))
    | ~ r1(esk1_0,X2)
    | ~ r1(esk8_0,X1)
    | ~ r1(X2,esk8_0) ),
    inference(spm,[status(thm)],[13,21,theory(equality)]) ).

cnf(45,negated_conjecture,
    ( r1(X1,esk3_3(X2,esk8_0,X1))
    | ~ r1(esk1_0,X2)
    | ~ r1(esk8_0,X1)
    | ~ r1(X2,esk8_0) ),
    inference(sr,[status(thm)],[41,20,theory(equality)]) ).

cnf(51,negated_conjecture,
    ( p1(esk3_3(X1,esk8_0,X2))
    | r1(X3,esk3_3(X4,X2,X3))
    | ~ r1(esk1_0,X4)
    | ~ r1(X2,X3)
    | ~ r1(X4,X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk8_0,X2)
    | ~ r1(X1,esk8_0) ),
    inference(spm,[status(thm)],[13,45,theory(equality)]) ).

cnf(53,negated_conjecture,
    ( p1(esk3_3(X1,esk8_0,X2))
    | r1(X3,esk3_3(esk7_0,X2,X3))
    | ~ r1(esk1_0,X1)
    | ~ r1(esk8_0,X2)
    | ~ r1(X1,esk8_0)
    | ~ r1(X2,X3)
    | ~ r1(esk7_0,X2) ),
    inference(spm,[status(thm)],[51,23,theory(equality)]) ).

cnf(60,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,X1))
    | r1(X2,esk3_3(esk7_0,X1,X2))
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0)
    | ~ r1(esk7_0,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[53,23,theory(equality)]) ).

cnf(65,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,X1))
    | r1(X2,esk3_3(esk7_0,X1,X2))
    | ~ r1(esk8_0,X1)
    | $false
    | ~ r1(esk7_0,X1)
    | ~ r1(X1,X2) ),
    inference(rw,[status(thm)],[60,22,theory(equality)]) ).

cnf(66,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,X1))
    | r1(X2,esk3_3(esk7_0,X1,X2))
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,X1)
    | ~ r1(X1,X2) ),
    inference(cn,[status(thm)],[65,theory(equality)]) ).

cnf(70,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(X1,esk3_3(esk7_0,esk8_0,X1))
    | ~ r1(esk7_0,esk8_0)
    | ~ r1(esk8_0,X1) ),
    inference(spm,[status(thm)],[66,26,theory(equality)]) ).

cnf(74,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(X1,esk3_3(esk7_0,esk8_0,X1))
    | $false
    | ~ r1(esk8_0,X1) ),
    inference(rw,[status(thm)],[70,22,theory(equality)]) ).

cnf(75,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(X1,esk3_3(esk7_0,esk8_0,X1))
    | ~ r1(esk8_0,X1) ),
    inference(cn,[status(thm)],[74,theory(equality)]) ).

cnf(136,negated_conjecture,
    ( r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | r1(X1,esk5_2(esk7_0,X1))
    | ~ r1(esk7_0,X1) ),
    inference(spm,[status(thm)],[30,22,theory(equality)]) ).

cnf(162,negated_conjecture,
    ( r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
    inference(spm,[status(thm)],[136,26,theory(equality)]) ).

cnf(174,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk4_2(esk7_0,esk8_0),esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
    inference(spm,[status(thm)],[75,162,theory(equality)]) ).

cnf(187,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | r1(X1,esk5_2(esk7_0,X1))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | ~ r1(esk1_0,esk7_0)
    | ~ r1(esk7_0,esk8_0)
    | ~ r1(esk7_0,X1) ),
    inference(spm,[status(thm)],[17,174,theory(equality)]) ).

cnf(191,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | r1(X1,esk5_2(esk7_0,X1))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | $false
    | ~ r1(esk7_0,esk8_0)
    | ~ r1(esk7_0,X1) ),
    inference(rw,[status(thm)],[187,23,theory(equality)]) ).

cnf(192,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | r1(X1,esk5_2(esk7_0,X1))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | $false
    | $false
    | ~ r1(esk7_0,X1) ),
    inference(rw,[status(thm)],[191,22,theory(equality)]) ).

cnf(193,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | r1(X1,esk5_2(esk7_0,X1))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | ~ r1(esk7_0,X1) ),
    inference(cn,[status(thm)],[192,theory(equality)]) ).

cnf(545,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
    inference(spm,[status(thm)],[193,26,theory(equality)]) ).

cnf(558,negated_conjecture,
    ( p1(X1)
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | ~ r1(esk1_0,esk7_0)
    | ~ r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(spm,[status(thm)],[12,545,theory(equality)]) ).

cnf(559,negated_conjecture,
    ( p1(X1)
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | $false
    | ~ r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(rw,[status(thm)],[558,23,theory(equality)]) ).

cnf(560,negated_conjecture,
    ( p1(X1)
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | $false
    | ~ r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | ~ r1(esk8_0,X1)
    | $false ),
    inference(rw,[status(thm)],[559,22,theory(equality)]) ).

cnf(561,negated_conjecture,
    ( p1(X1)
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | ~ r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | ~ r1(esk8_0,X1) ),
    inference(cn,[status(thm)],[560,theory(equality)]) ).

cnf(565,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | p1(X1)
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | ~ r1(esk8_0,X1) ),
    inference(csr,[status(thm)],[561,162]) ).

cnf(566,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | p1(esk9_0)
    | r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
    inference(spm,[status(thm)],[565,21,theory(equality)]) ).

cnf(577,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
    inference(sr,[status(thm)],[566,20,theory(equality)]) ).

cnf(582,negated_conjecture,
    ( p1(X1)
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | ~ r1(esk1_0,esk7_0)
    | ~ r1(esk8_0,esk8_0)
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(spm,[status(thm)],[12,577,theory(equality)]) ).

cnf(583,negated_conjecture,
    ( p1(X1)
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | $false
    | ~ r1(esk8_0,esk8_0)
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(rw,[status(thm)],[582,23,theory(equality)]) ).

cnf(584,negated_conjecture,
    ( p1(X1)
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | $false
    | $false
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(rw,[status(thm)],[583,26,theory(equality)]) ).

cnf(585,negated_conjecture,
    ( p1(X1)
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | $false
    | $false
    | ~ r1(esk8_0,X1)
    | $false ),
    inference(rw,[status(thm)],[584,22,theory(equality)]) ).

cnf(586,negated_conjecture,
    ( p1(X1)
    | r1(esk7_0,esk5_2(esk7_0,esk7_0))
    | ~ r1(esk8_0,X1) ),
    inference(cn,[status(thm)],[585,theory(equality)]) ).

cnf(587,negated_conjecture,
    ( p1(esk9_0)
    | r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
    inference(spm,[status(thm)],[586,21,theory(equality)]) ).

cnf(598,negated_conjecture,
    r1(esk7_0,esk5_2(esk7_0,esk7_0)),
    inference(sr,[status(thm)],[587,20,theory(equality)]) ).

cnf(622,negated_conjecture,
    ( r1(X1,esk4_2(esk7_0,X1))
    | ~ r1(esk1_0,esk7_0)
    | ~ r1(esk7_0,X1)
    | ~ r1(esk7_0,esk7_0) ),
    inference(spm,[status(thm)],[28,598,theory(equality)]) ).

cnf(628,negated_conjecture,
    ( r1(X1,esk4_2(esk7_0,X1))
    | $false
    | ~ r1(esk7_0,X1)
    | ~ r1(esk7_0,esk7_0) ),
    inference(rw,[status(thm)],[622,23,theory(equality)]) ).

cnf(629,negated_conjecture,
    ( r1(X1,esk4_2(esk7_0,X1))
    | $false
    | ~ r1(esk7_0,X1)
    | $false ),
    inference(rw,[status(thm)],[628,26,theory(equality)]) ).

cnf(630,negated_conjecture,
    ( r1(X1,esk4_2(esk7_0,X1))
    | ~ r1(esk7_0,X1) ),
    inference(cn,[status(thm)],[629,theory(equality)]) ).

cnf(638,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk4_2(esk7_0,esk8_0),esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | ~ r1(esk7_0,esk8_0) ),
    inference(spm,[status(thm)],[75,630,theory(equality)]) ).

cnf(648,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk4_2(esk7_0,esk8_0),esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | $false ),
    inference(rw,[status(thm)],[638,22,theory(equality)]) ).

cnf(649,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | r1(esk4_2(esk7_0,esk8_0),esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0))) ),
    inference(cn,[status(thm)],[648,theory(equality)]) ).

cnf(655,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | ~ p1(esk5_2(esk7_0,X1))
    | ~ r1(esk1_0,esk7_0)
    | ~ r1(esk7_0,esk8_0)
    | ~ r1(esk7_0,X1) ),
    inference(spm,[status(thm)],[15,649,theory(equality)]) ).

cnf(658,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | ~ p1(esk5_2(esk7_0,X1))
    | $false
    | ~ r1(esk7_0,esk8_0)
    | ~ r1(esk7_0,X1) ),
    inference(rw,[status(thm)],[655,23,theory(equality)]) ).

cnf(659,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | ~ p1(esk5_2(esk7_0,X1))
    | $false
    | $false
    | ~ r1(esk7_0,X1) ),
    inference(rw,[status(thm)],[658,22,theory(equality)]) ).

cnf(660,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | ~ p1(esk5_2(esk7_0,X1))
    | ~ r1(esk7_0,X1) ),
    inference(cn,[status(thm)],[659,theory(equality)]) ).

cnf(797,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | ~ r1(esk7_0,X1)
    | ~ r1(esk7_0,esk5_2(esk7_0,X1)) ),
    inference(spm,[status(thm)],[660,24,theory(equality)]) ).

cnf(4102,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | ~ r1(esk7_0,esk7_0) ),
    inference(spm,[status(thm)],[797,598,theory(equality)]) ).

cnf(4103,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | $false ),
    inference(rw,[status(thm)],[4102,26,theory(equality)]) ).

cnf(4104,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
    | p1(esk3_3(esk7_0,esk8_0,esk8_0)) ),
    inference(cn,[status(thm)],[4103,theory(equality)]) ).

cnf(4105,negated_conjecture,
    ( p1(X1)
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | ~ r1(esk1_0,esk7_0)
    | ~ r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(spm,[status(thm)],[12,4104,theory(equality)]) ).

cnf(4106,negated_conjecture,
    ( p1(X1)
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | $false
    | ~ r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(rw,[status(thm)],[4105,23,theory(equality)]) ).

cnf(4107,negated_conjecture,
    ( p1(X1)
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | $false
    | ~ r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | ~ r1(esk8_0,X1)
    | $false ),
    inference(rw,[status(thm)],[4106,22,theory(equality)]) ).

cnf(4108,negated_conjecture,
    ( p1(X1)
    | p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | ~ r1(esk8_0,esk4_2(esk7_0,esk8_0))
    | ~ r1(esk8_0,X1) ),
    inference(cn,[status(thm)],[4107,theory(equality)]) ).

cnf(4109,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | p1(X1)
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(spm,[status(thm)],[4108,630,theory(equality)]) ).

cnf(4110,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | p1(X1)
    | ~ r1(esk8_0,X1)
    | $false ),
    inference(rw,[status(thm)],[4109,22,theory(equality)]) ).

cnf(4111,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | p1(X1)
    | ~ r1(esk8_0,X1) ),
    inference(cn,[status(thm)],[4110,theory(equality)]) ).

cnf(4112,negated_conjecture,
    ( p1(esk3_3(esk7_0,esk8_0,esk8_0))
    | p1(esk9_0) ),
    inference(spm,[status(thm)],[4111,21,theory(equality)]) ).

cnf(4131,negated_conjecture,
    p1(esk3_3(esk7_0,esk8_0,esk8_0)),
    inference(sr,[status(thm)],[4112,20,theory(equality)]) ).

cnf(4143,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk1_0,esk7_0)
    | ~ r1(esk8_0,esk8_0)
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(spm,[status(thm)],[12,4131,theory(equality)]) ).

cnf(4161,negated_conjecture,
    ( p1(X1)
    | $false
    | ~ r1(esk8_0,esk8_0)
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(rw,[status(thm)],[4143,23,theory(equality)]) ).

cnf(4162,negated_conjecture,
    ( p1(X1)
    | $false
    | $false
    | ~ r1(esk8_0,X1)
    | ~ r1(esk7_0,esk8_0) ),
    inference(rw,[status(thm)],[4161,26,theory(equality)]) ).

cnf(4163,negated_conjecture,
    ( p1(X1)
    | $false
    | $false
    | ~ r1(esk8_0,X1)
    | $false ),
    inference(rw,[status(thm)],[4162,22,theory(equality)]) ).

cnf(4164,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk8_0,X1) ),
    inference(cn,[status(thm)],[4163,theory(equality)]) ).

cnf(4165,negated_conjecture,
    ~ r1(esk8_0,esk9_0),
    inference(spm,[status(thm)],[20,4164,theory(equality)]) ).

cnf(4181,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[4165,21,theory(equality)]) ).

cnf(4182,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[4181,theory(equality)]) ).

cnf(4183,negated_conjecture,
    $false,
    4182,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL654+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmpC2reQe/sel_LCL654+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL654+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL654+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL654+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
% 
%------------------------------------------------------------------------------