TSTP Solution File: SYN410+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN410+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.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 13:20:33 EST 2010

% Result   : Theorem 0.23s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   5   ~;   0   |;   3   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   24 (   4 sgn  16   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ( ! [X1,X2] : f(X1,X2)
   => ? [X3,X4] : f(X3,X4) ),
    file('/tmp/tmpArKeKA/sel_SYN410+1.p_1',kalish249) ).

fof(2,negated_conjecture,
    ~ ( ! [X1,X2] : f(X1,X2)
     => ? [X3,X4] : f(X3,X4) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ( ! [X1,X2] : f(X1,X2)
    & ! [X3,X4] : ~ f(X3,X4) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(4,negated_conjecture,
    ( ! [X5,X6] : f(X5,X6)
    & ! [X7,X8] : ~ f(X7,X8) ),
    inference(variable_rename,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ! [X5,X6,X7,X8] :
      ( ~ f(X7,X8)
      & f(X5,X6) ),
    inference(shift_quantors,[status(thm)],[4]) ).

cnf(6,negated_conjecture,
    f(X1,X2),
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(7,negated_conjecture,
    ~ f(X1,X2),
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(8,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[7,6,theory(equality)]),
    [unfolding] ).

cnf(9,negated_conjecture,
    $false,
    8,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN410+1.p
% --creating new selector for []
% -running prover on /tmp/tmpArKeKA/sel_SYN410+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN410+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN410+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN410+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
% 
%------------------------------------------------------------------------------