%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU303+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.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 : Sun Dec 26 07:03:20 EST 2010

% Result   : Theorem 8.57s
% Output   : CNFRefutation 8.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (   6 unt;   0 def)
%            Number of atoms       :   66 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   68 (  26   ~;  23   |;  13   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(30,axiom,
    ! [X1] :
      ( relation(X1)
     => relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
    file('/tmp/tmpw-OW_d/sel_SEU303+2.p_1',t146_relat_1) ).

fof(237,conjecture,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( finite(relation_dom(X1))
       => finite(relation_rng(X1)) ) ),
    file('/tmp/tmpw-OW_d/sel_SEU303+2.p_1',t26_finset_1) ).

fof(345,axiom,
    ! [X1,X2] :
      ( ( relation(X1)
        & function(X1)
        & finite(X2) )
     => finite(relation_image(X1,X2)) ),
    file('/tmp/tmpw-OW_d/sel_SEU303+2.p_1',fc13_finset_1) ).

fof(421,negated_conjecture,
    ~ ! [X1] :
        ( ( relation(X1)
          & function(X1) )
       => ( finite(relation_dom(X1))
         => finite(relation_rng(X1)) ) ),
    inference(assume_negation,[status(cth)],[237]) ).

fof(643,plain,
    ! [X1] :
      ( ~ relation(X1)
      | relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
    inference(fof_nnf,[status(thm)],[30]) ).

fof(644,plain,
    ! [X2] :
      ( ~ relation(X2)
      | relation_image(X2,relation_dom(X2)) = relation_rng(X2) ),
    inference(variable_rename,[status(thm)],[643]) ).

cnf(645,plain,
    ( relation_image(X1,relation_dom(X1)) = relation_rng(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[644]) ).

fof(2035,negated_conjecture,
    ? [X1] :
      ( relation(X1)
      & function(X1)
      & finite(relation_dom(X1))
      & ~ finite(relation_rng(X1)) ),
    inference(fof_nnf,[status(thm)],[421]) ).

fof(2036,negated_conjecture,
    ? [X2] :
      ( relation(X2)
      & function(X2)
      & finite(relation_dom(X2))
      & ~ finite(relation_rng(X2)) ),
    inference(variable_rename,[status(thm)],[2035]) ).

fof(2037,negated_conjecture,
    ( relation(esk185_0)
    & function(esk185_0)
    & finite(relation_dom(esk185_0))
    & ~ finite(relation_rng(esk185_0)) ),
    inference(skolemize,[status(esa)],[2036]) ).

cnf(2038,negated_conjecture,
    ~ finite(relation_rng(esk185_0)),
    inference(split_conjunct,[status(thm)],[2037]) ).

cnf(2039,negated_conjecture,
    finite(relation_dom(esk185_0)),
    inference(split_conjunct,[status(thm)],[2037]) ).

cnf(2040,negated_conjecture,
    function(esk185_0),
    inference(split_conjunct,[status(thm)],[2037]) ).

cnf(2041,negated_conjecture,
    relation(esk185_0),
    inference(split_conjunct,[status(thm)],[2037]) ).

fof(2724,plain,
    ! [X1,X2] :
      ( ~ relation(X1)
      | ~ function(X1)
      | ~ finite(X2)
      | finite(relation_image(X1,X2)) ),
    inference(fof_nnf,[status(thm)],[345]) ).

fof(2725,plain,
    ! [X3,X4] :
      ( ~ relation(X3)
      | ~ function(X3)
      | ~ finite(X4)
      | finite(relation_image(X3,X4)) ),
    inference(variable_rename,[status(thm)],[2724]) ).

cnf(2726,plain,
    ( finite(relation_image(X1,X2))
    | ~ finite(X2)
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[2725]) ).

cnf(4276,plain,
    ( finite(relation_rng(X1))
    | ~ finite(relation_dom(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[2726,645,theory(equality)]) ).

cnf(89290,plain,
    ( ~ finite(relation_dom(esk185_0))
    | ~ function(esk185_0)
    | ~ relation(esk185_0) ),
    inference(spm,[status(thm)],[2038,4276,theory(equality)]) ).

cnf(89310,plain,
    ( $false
    | ~ function(esk185_0)
    | ~ relation(esk185_0) ),
    inference(rw,[status(thm)],[89290,2039,theory(equality)]) ).

cnf(89311,plain,
    ( $false
    | $false
    | ~ relation(esk185_0) ),
    inference(rw,[status(thm)],[89310,2040,theory(equality)]) ).

cnf(89312,plain,
    ( $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[89311,2041,theory(equality)]) ).

cnf(89313,plain,
    $false,
    inference(cn,[status(thm)],[89312,theory(equality)]) ).

cnf(89314,plain,
    $false,
    89313,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU303+2.p
% --creating new selector for []
% -running prover on /tmp/tmpw-OW_d/sel_SEU303+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU303+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU303+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU303+2.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
% 
%------------------------------------------------------------------------------