%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO251+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 09:09:31 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  16   ~;   6   |;   7   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   30 (   4 sgn  18   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(10,axiom,
    ! [X1,X4] :
      ~ ( left_apart_point(X1,X4)
        | left_apart_point(X1,reverse_line(X4)) ),
    file('/tmp/tmpufTuCg/sel_GEO251+3.p_1',ax10_basics) ).

fof(13,axiom,
    ! [X7,X8] :
      ( right_apart_point(X7,X8)
    <=> left_apart_point(X7,reverse_line(X8)) ),
    file('/tmp/tmpufTuCg/sel_GEO251+3.p_1',a2_defns) ).

fof(23,conjecture,
    ! [X1,X2,X4] :
      ( right_apart_point(X2,parallel_through_point(X4,X1))
     => left_apart_point(X1,parallel_through_point(X4,X2)) ),
    file('/tmp/tmpufTuCg/sel_GEO251+3.p_1',con) ).

fof(24,negated_conjecture,
    ~ ! [X1,X2,X4] :
        ( right_apart_point(X2,parallel_through_point(X4,X1))
       => left_apart_point(X1,parallel_through_point(X4,X2)) ),
    inference(assume_negation,[status(cth)],[23]) ).

fof(59,plain,
    ! [X1,X4] :
      ( ~ left_apart_point(X1,X4)
      & ~ left_apart_point(X1,reverse_line(X4)) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(60,plain,
    ! [X5,X6] :
      ( ~ left_apart_point(X5,X6)
      & ~ left_apart_point(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[59]) ).

cnf(62,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[60]) ).

fof(67,plain,
    ! [X7,X8] :
      ( ( ~ right_apart_point(X7,X8)
        | left_apart_point(X7,reverse_line(X8)) )
      & ( ~ left_apart_point(X7,reverse_line(X8))
        | right_apart_point(X7,X8) ) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(68,plain,
    ! [X9,X10] :
      ( ( ~ right_apart_point(X9,X10)
        | left_apart_point(X9,reverse_line(X10)) )
      & ( ~ left_apart_point(X9,reverse_line(X10))
        | right_apart_point(X9,X10) ) ),
    inference(variable_rename,[status(thm)],[67]) ).

cnf(70,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | ~ right_apart_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[68]) ).

fof(103,negated_conjecture,
    ? [X1,X2,X4] :
      ( right_apart_point(X2,parallel_through_point(X4,X1))
      & ~ left_apart_point(X1,parallel_through_point(X4,X2)) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(104,negated_conjecture,
    ? [X5,X6,X7] :
      ( right_apart_point(X6,parallel_through_point(X7,X5))
      & ~ left_apart_point(X5,parallel_through_point(X7,X6)) ),
    inference(variable_rename,[status(thm)],[103]) ).

fof(105,negated_conjecture,
    ( right_apart_point(esk2_0,parallel_through_point(esk3_0,esk1_0))
    & ~ left_apart_point(esk1_0,parallel_through_point(esk3_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[104]) ).

cnf(107,negated_conjecture,
    right_apart_point(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    inference(split_conjunct,[status(thm)],[105]) ).

cnf(109,plain,
    ~ right_apart_point(X1,X2),
    inference(sr,[status(thm)],[70,62,theory(equality)]) ).

cnf(110,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[107,109,theory(equality)]) ).

cnf(111,negated_conjecture,
    $false,
    110,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO251+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpufTuCg/sel_GEO251+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO251+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO251+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO251+3.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
% 
%------------------------------------------------------------------------------