TSTP Solution File: ALG199+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : ALG199+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 04:15:32 EST 2010

% Result   : Theorem 0.26s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   28 (  15 unt;   0 def)
%            Number of atoms       :  146 ( 144 equ)
%            Maximal formula atoms :   21 (   5 avg)
%            Number of connectives :  191 (  73   ~;  69   |;  49   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 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/tmpyuiEdf/sel_ALG199+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/tmpyuiEdf/sel_ALG199+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 )
      & ( 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/tmpyuiEdf/sel_ALG199+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 )
        & ( 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(206,plain,
    e4 = op(e5,op(e5,e5)),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(208,plain,
    e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),
    inference(split_conjunct,[status(thm)],[4]) ).

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

cnf(513,plain,
    e2 != e4,
    inference(split_conjunct,[status(thm)],[6]) ).

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 )
    & ( 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(e6,e6) = e6
    | op(e5,e5) = e5
    | op(e4,e4) = e4
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e1,e1) = e1
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[526]) ).

cnf(529,negated_conjecture,
    op(e6,e6) != e6,
    inference(split_conjunct,[status(thm)],[526]) ).

cnf(532,negated_conjecture,
    op(e3,e3) != e3,
    inference(split_conjunct,[status(thm)],[526]) ).

cnf(533,negated_conjecture,
    op(e2,e2) != e2,
    inference(split_conjunct,[status(thm)],[526]) ).

cnf(534,negated_conjecture,
    op(e1,e1) != e1,
    inference(split_conjunct,[status(thm)],[526]) ).

cnf(535,negated_conjecture,
    op(e0,e0) != e0,
    inference(split_conjunct,[status(thm)],[526]) ).

cnf(536,plain,
    op(e5,e1) = e4,
    inference(rw,[status(thm)],[206,209,theory(equality)]) ).

cnf(540,plain,
    op(e4,e4) = e2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[208,209,theory(equality)]),536,theory(equality)]),209,theory(equality)]),536,theory(equality)]) ).

cnf(587,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | e2 = e4
    | op(e5,e5) = e5
    | op(e6,e6) = e6 ),
    inference(rw,[status(thm)],[528,540,theory(equality)]) ).

cnf(588,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | e2 = e4
    | e1 = e5
    | op(e6,e6) = e6 ),
    inference(rw,[status(thm)],[587,209,theory(equality)]) ).

cnf(589,negated_conjecture,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | e2 = e4
    | e1 = e5
    | op(e6,e6) = e6 ),
    inference(sr,[status(thm)],[588,535,theory(equality)]) ).

cnf(590,negated_conjecture,
    ( op(e2,e2) = e2
    | op(e3,e3) = e3
    | e2 = e4
    | e1 = e5
    | op(e6,e6) = e6 ),
    inference(sr,[status(thm)],[589,534,theory(equality)]) ).

cnf(591,negated_conjecture,
    ( op(e3,e3) = e3
    | e2 = e4
    | e1 = e5
    | op(e6,e6) = e6 ),
    inference(sr,[status(thm)],[590,533,theory(equality)]) ).

cnf(592,negated_conjecture,
    ( e2 = e4
    | e1 = e5
    | op(e6,e6) = e6 ),
    inference(sr,[status(thm)],[591,532,theory(equality)]) ).

cnf(593,negated_conjecture,
    ( e1 = e5
    | op(e6,e6) = e6 ),
    inference(sr,[status(thm)],[592,513,theory(equality)]) ).

cnf(594,negated_conjecture,
    op(e6,e6) = e6,
    inference(sr,[status(thm)],[593,516,theory(equality)]) ).

cnf(595,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[594,529,theory(equality)]) ).

cnf(596,negated_conjecture,
    $false,
    595,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG199+1.p
% --creating new selector for []
% -running prover on /tmp/tmpyuiEdf/sel_ALG199+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG199+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG199+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG199+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
% 
%------------------------------------------------------------------------------