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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : ALG198+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.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 04:15:25 EST 2010

% Result   : Theorem 0.25s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :   75 (  73 equ)
%            Maximal formula atoms :   21 (   6 avg)
%            Number of connectives :  110 (  46   ~;   0   |;  64   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ( e0 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5)))
    & e1 = op(e5,e5)
    & e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
    & e3 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5)
    & e4 = op(e5,op(e5,e5))
    & e6 = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))) ),
    file('/tmp/tmpDlWyoX/sel_ALG198+1.p_1',ax6) ).

fof(6,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e0 != e5
    & e0 != e6
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e1 != e5
    & e1 != e6
    & e2 != e3
    & e2 != e4
    & e2 != e5
    & e2 != e6
    & e3 != e4
    & e3 != e5
    & e3 != e6
    & e4 != e5
    & e4 != e6
    & e5 != e6 ),
    file('/tmp/tmpDlWyoX/sel_ALG198+1.p_1',ax5) ).

fof(7,conjecture,
    ~ ( op(e0,e0) != e0
      & op(e1,e1) != e1
      & op(e2,e2) != e2
      & op(e3,e3) != e3
      & op(e4,e4) != e4
      & op(e5,e5) != e5
      & op(e6,e6) != e6
      & op(e0,e0) = e0
      & op(e1,e1) = e1
      & op(e2,e2) = e2
      & op(e3,e3) = e3
      & op(e4,e4) = e4
      & op(e5,e5) = e5
      & op(e6,e6) = e6 ),
    file('/tmp/tmpDlWyoX/sel_ALG198+1.p_1',co1) ).

fof(8,negated_conjecture,
    ~ ~ ( op(e0,e0) != e0
        & op(e1,e1) != e1
        & op(e2,e2) != e2
        & op(e3,e3) != e3
        & op(e4,e4) != e4
        & op(e5,e5) != e5
        & op(e6,e6) != e6
        & op(e0,e0) = e0
        & op(e1,e1) = e1
        & op(e2,e2) = e2
        & op(e3,e3) = e3
        & op(e4,e4) = e4
        & op(e5,e5) = e5
        & op(e6,e6) = e6 ),
    inference(assume_negation,[status(cth)],[7]) ).

cnf(209,plain,
    e1 = op(e5,e5),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(516,plain,
    e1 != e5,
    inference(split_conjunct,[status(thm)],[6]) ).

fof(526,negated_conjecture,
    ( op(e0,e0) != e0
    & op(e1,e1) != e1
    & op(e2,e2) != e2
    & op(e3,e3) != e3
    & op(e4,e4) != e4
    & op(e5,e5) != e5
    & op(e6,e6) != e6
    & op(e0,e0) = e0
    & op(e1,e1) = e1
    & op(e2,e2) = e2
    & op(e3,e3) = e3
    & op(e4,e4) = e4
    & op(e5,e5) = e5
    & op(e6,e6) = e6 ),
    inference(fof_nnf,[status(thm)],[8]) ).

cnf(528,negated_conjecture,
    op(e5,e5) = e5,
    inference(split_conjunct,[status(thm)],[526]) ).

cnf(541,negated_conjecture,
    e1 = e5,
    inference(rw,[status(thm)],[528,209,theory(equality)]) ).

cnf(542,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[541,516,theory(equality)]) ).

cnf(543,negated_conjecture,
    $false,
    542,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG198+1.p
% --creating new selector for []
% -running prover on /tmp/tmpDlWyoX/sel_ALG198+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG198+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG198+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG198+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
% 
%------------------------------------------------------------------------------