%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SET910+1 : TPTP v5.0.0. Released v3.2.0.
% 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 : Sun Dec 26 03:46:32 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   23 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   8   ~;   3   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,conjecture,
    ! [X1,X2] :
      ( set_intersection2(X1,singleton(X2)) = singleton(X2)
     => in(X2,X1) ),
    file('/tmp/tmpCZhIKQ/sel_SET910+1.p_1',t51_zfmisc_1) ).

fof(5,axiom,
    ! [X1,X2] :
      ( set_intersection2(X1,singleton(X2)) = singleton(X2)
     => in(X2,X1) ),
    file('/tmp/tmpCZhIKQ/sel_SET910+1.p_1',l30_zfmisc_1) ).

fof(8,negated_conjecture,
    ~ ! [X1,X2] :
        ( set_intersection2(X1,singleton(X2)) = singleton(X2)
       => in(X2,X1) ),
    inference(assume_negation,[status(cth)],[3]) ).

fof(15,negated_conjecture,
    ? [X1,X2] :
      ( set_intersection2(X1,singleton(X2)) = singleton(X2)
      & ~ in(X2,X1) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(16,negated_conjecture,
    ? [X3,X4] :
      ( set_intersection2(X3,singleton(X4)) = singleton(X4)
      & ~ in(X4,X3) ),
    inference(variable_rename,[status(thm)],[15]) ).

fof(17,negated_conjecture,
    ( set_intersection2(esk1_0,singleton(esk2_0)) = singleton(esk2_0)
    & ~ in(esk2_0,esk1_0) ),
    inference(skolemize,[status(esa)],[16]) ).

cnf(18,negated_conjecture,
    ~ in(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[17]) ).

cnf(19,negated_conjecture,
    set_intersection2(esk1_0,singleton(esk2_0)) = singleton(esk2_0),
    inference(split_conjunct,[status(thm)],[17]) ).

fof(23,plain,
    ! [X1,X2] :
      ( set_intersection2(X1,singleton(X2)) != singleton(X2)
      | in(X2,X1) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(24,plain,
    ! [X3,X4] :
      ( set_intersection2(X3,singleton(X4)) != singleton(X4)
      | in(X4,X3) ),
    inference(variable_rename,[status(thm)],[23]) ).

cnf(25,plain,
    ( in(X1,X2)
    | set_intersection2(X2,singleton(X1)) != singleton(X1) ),
    inference(split_conjunct,[status(thm)],[24]) ).

cnf(37,negated_conjecture,
    in(esk2_0,esk1_0),
    inference(spm,[status(thm)],[25,19,theory(equality)]) ).

cnf(40,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[37,18,theory(equality)]) ).

cnf(41,negated_conjecture,
    $false,
    40,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET910+1.p
% --creating new selector for []
% -running prover on /tmp/tmpCZhIKQ/sel_SET910+1.p_1 with time limit 29
% -prover status Theorem
% Problem SET910+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET910+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET910+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
% 
%------------------------------------------------------------------------------