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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO080+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 08:08:23 EST 2010

% Result   : Theorem 0.22s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   51 (  21   ~;  18   |;  10   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn  20   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X2,X3] :
      ( part_of(X3,X2)
    <=> ! [X1] :
          ( incident_c(X1,X3)
         => incident_c(X1,X2) ) ),
    file('/tmp/tmpudZoxx/sel_GEO080+1.p_1',part_of_defn) ).

fof(7,conjecture,
    ! [X2] : part_of(X2,X2),
    file('/tmp/tmpudZoxx/sel_GEO080+1.p_1',prove_reflexivity) ).

fof(8,negated_conjecture,
    ~ ! [X2] : part_of(X2,X2),
    inference(assume_negation,[status(cth)],[7]) ).

fof(22,plain,
    ! [X2,X3] :
      ( ( ~ part_of(X3,X2)
        | ! [X1] :
            ( ~ incident_c(X1,X3)
            | incident_c(X1,X2) ) )
      & ( ? [X1] :
            ( incident_c(X1,X3)
            & ~ incident_c(X1,X2) )
        | part_of(X3,X2) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(23,plain,
    ! [X4,X5] :
      ( ( ~ part_of(X5,X4)
        | ! [X6] :
            ( ~ incident_c(X6,X5)
            | incident_c(X6,X4) ) )
      & ( ? [X7] :
            ( incident_c(X7,X5)
            & ~ incident_c(X7,X4) )
        | part_of(X5,X4) ) ),
    inference(variable_rename,[status(thm)],[22]) ).

fof(24,plain,
    ! [X4,X5] :
      ( ( ~ part_of(X5,X4)
        | ! [X6] :
            ( ~ incident_c(X6,X5)
            | incident_c(X6,X4) ) )
      & ( ( incident_c(esk3_2(X4,X5),X5)
          & ~ incident_c(esk3_2(X4,X5),X4) )
        | part_of(X5,X4) ) ),
    inference(skolemize,[status(esa)],[23]) ).

fof(25,plain,
    ! [X4,X5,X6] :
      ( ( ~ incident_c(X6,X5)
        | incident_c(X6,X4)
        | ~ part_of(X5,X4) )
      & ( ( incident_c(esk3_2(X4,X5),X5)
          & ~ incident_c(esk3_2(X4,X5),X4) )
        | part_of(X5,X4) ) ),
    inference(shift_quantors,[status(thm)],[24]) ).

fof(26,plain,
    ! [X4,X5,X6] :
      ( ( ~ incident_c(X6,X5)
        | incident_c(X6,X4)
        | ~ part_of(X5,X4) )
      & ( incident_c(esk3_2(X4,X5),X5)
        | part_of(X5,X4) )
      & ( ~ incident_c(esk3_2(X4,X5),X4)
        | part_of(X5,X4) ) ),
    inference(distribute,[status(thm)],[25]) ).

cnf(27,plain,
    ( part_of(X1,X2)
    | ~ incident_c(esk3_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[26]) ).

cnf(28,plain,
    ( part_of(X1,X2)
    | incident_c(esk3_2(X2,X1),X1) ),
    inference(split_conjunct,[status(thm)],[26]) ).

fof(49,negated_conjecture,
    ? [X2] : ~ part_of(X2,X2),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(50,negated_conjecture,
    ? [X3] : ~ part_of(X3,X3),
    inference(variable_rename,[status(thm)],[49]) ).

fof(51,negated_conjecture,
    ~ part_of(esk6_0,esk6_0),
    inference(skolemize,[status(esa)],[50]) ).

cnf(52,negated_conjecture,
    ~ part_of(esk6_0,esk6_0),
    inference(split_conjunct,[status(thm)],[51]) ).

cnf(53,plain,
    part_of(X1,X1),
    inference(spm,[status(thm)],[27,28,theory(equality)]) ).

cnf(68,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[52,53,theory(equality)]) ).

cnf(69,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[68,theory(equality)]) ).

cnf(70,negated_conjecture,
    $false,
    69,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO080+1.p
% --creating new selector for [GEO004+0.ax]
% -running prover on /tmp/tmpudZoxx/sel_GEO080+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO080+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO080+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO080+1.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
% 
%------------------------------------------------------------------------------