%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO171+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.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 08:43:16 EST 2010

% Result   : Theorem 0.21s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (  10 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  15   ~;  16   |;   3   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   38 (   0 sgn  25   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X1,X2,X3] :
      ( convergent_lines(X1,X2)
     => ( convergent_lines(X1,X3)
        | convergent_lines(X2,X3) ) ),
    file('/tmp/tmpRobRUs/sel_GEO171+3.p_1',ax6) ).

fof(3,axiom,
    ! [X1,X2,X3] :
      ( convergent_lines(X1,X2)
     => ( distinct_lines(X2,X3)
        | convergent_lines(X1,X3) ) ),
    file('/tmp/tmpRobRUs/sel_GEO171+3.p_1',ceq3) ).

fof(7,axiom,
    ! [X1] : ~ convergent_lines(X1,X1),
    file('/tmp/tmpRobRUs/sel_GEO171+3.p_1',apart3) ).

fof(9,conjecture,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => distinct_lines(X1,X2) ),
    file('/tmp/tmpRobRUs/sel_GEO171+3.p_1',con) ).

fof(10,negated_conjecture,
    ~ ! [X1,X2] :
        ( convergent_lines(X1,X2)
       => distinct_lines(X1,X2) ),
    inference(assume_negation,[status(cth)],[9]) ).

fof(12,plain,
    ! [X1] : ~ convergent_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(16,plain,
    ! [X1,X2,X3] :
      ( ~ convergent_lines(X1,X2)
      | convergent_lines(X1,X3)
      | convergent_lines(X2,X3) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(17,plain,
    ! [X4,X5,X6] :
      ( ~ convergent_lines(X4,X5)
      | convergent_lines(X4,X6)
      | convergent_lines(X5,X6) ),
    inference(variable_rename,[status(thm)],[16]) ).

cnf(18,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[17]) ).

fof(19,plain,
    ! [X1,X2,X3] :
      ( ~ convergent_lines(X1,X2)
      | distinct_lines(X2,X3)
      | convergent_lines(X1,X3) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(20,plain,
    ! [X4,X5,X6] :
      ( ~ convergent_lines(X4,X5)
      | distinct_lines(X5,X6)
      | convergent_lines(X4,X6) ),
    inference(variable_rename,[status(thm)],[19]) ).

cnf(21,plain,
    ( convergent_lines(X1,X2)
    | distinct_lines(X3,X2)
    | ~ convergent_lines(X1,X3) ),
    inference(split_conjunct,[status(thm)],[20]) ).

fof(30,plain,
    ! [X2] : ~ convergent_lines(X2,X2),
    inference(variable_rename,[status(thm)],[12]) ).

cnf(31,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[30]) ).

fof(35,negated_conjecture,
    ? [X1,X2] :
      ( convergent_lines(X1,X2)
      & ~ distinct_lines(X1,X2) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(36,negated_conjecture,
    ? [X3,X4] :
      ( convergent_lines(X3,X4)
      & ~ distinct_lines(X3,X4) ),
    inference(variable_rename,[status(thm)],[35]) ).

fof(37,negated_conjecture,
    ( convergent_lines(esk1_0,esk2_0)
    & ~ distinct_lines(esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[36]) ).

cnf(38,negated_conjecture,
    ~ distinct_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[37]) ).

cnf(39,negated_conjecture,
    convergent_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[37]) ).

cnf(41,negated_conjecture,
    ( convergent_lines(esk2_0,X1)
    | convergent_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[18,39,theory(equality)]) ).

cnf(48,negated_conjecture,
    convergent_lines(esk2_0,esk1_0),
    inference(spm,[status(thm)],[31,41,theory(equality)]) ).

cnf(51,negated_conjecture,
    ( convergent_lines(esk2_0,X1)
    | distinct_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[21,48,theory(equality)]) ).

cnf(53,negated_conjecture,
    convergent_lines(esk2_0,esk2_0),
    inference(spm,[status(thm)],[38,51,theory(equality)]) ).

cnf(57,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[53,31,theory(equality)]) ).

cnf(58,negated_conjecture,
    $false,
    57,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO171+3.p
% --creating new selector for [GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+4.ax, GEO006+5.ax, GEO006+6.ax]
% -running prover on /tmp/tmpRobRUs/sel_GEO171+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO171+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO171+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO171+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
% 
%------------------------------------------------------------------------------