TSTP Solution File: ALG194+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : ALG194+1 : TPTP v5.0.0. Released v2.7.0.
% 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 04:15:04 EST 2010

% Result   : Theorem 0.68s
% Output   : CNFRefutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   38 (   6 unt;   0 def)
%            Number of atoms       :  293 ( 288 equ)
%            Maximal formula atoms :  112 (   7 avg)
%            Number of connectives :  401 ( 146   ~; 165   |;  90   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (   5 avg)
%            Maximal term depth    :    2 (   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(6,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 )
      & ( 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/tmp_I4OT3/sel_ALG194+1.p_1',co1) ).

fof(7,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 )
        & ( 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)],[6]) ).

fof(519,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 )
      | ( 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)],[7]) ).

fof(520,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(e0,e0) != e0 )
    & ( op(e1,e1) = e1
      | op(e0,e0) != e0 )
    & ( op(e2,e2) = e2
      | op(e0,e0) != e0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) != e0 )
    & ( op(e4,e4) = e4
      | op(e0,e0) != e0 )
    & ( op(e5,e5) = e5
      | op(e0,e0) != e0 )
    & ( op(e6,e6) = e6
      | op(e0,e0) != e0 )
    & ( op(e0,e0) = e0
      | op(e1,e1) != e1 )
    & ( op(e1,e1) = e1
      | op(e1,e1) != e1 )
    & ( op(e2,e2) = e2
      | op(e1,e1) != e1 )
    & ( op(e3,e3) = e3
      | op(e1,e1) != e1 )
    & ( op(e4,e4) = e4
      | op(e1,e1) != e1 )
    & ( op(e5,e5) = e5
      | op(e1,e1) != e1 )
    & ( op(e6,e6) = e6
      | op(e1,e1) != e1 )
    & ( op(e0,e0) = e0
      | op(e2,e2) != e2 )
    & ( op(e1,e1) = e1
      | op(e2,e2) != e2 )
    & ( op(e2,e2) = e2
      | op(e2,e2) != e2 )
    & ( op(e3,e3) = e3
      | op(e2,e2) != e2 )
    & ( op(e4,e4) = e4
      | op(e2,e2) != e2 )
    & ( op(e5,e5) = e5
      | op(e2,e2) != e2 )
    & ( op(e6,e6) = e6
      | op(e2,e2) != e2 )
    & ( op(e0,e0) = e0
      | op(e3,e3) != e3 )
    & ( op(e1,e1) = e1
      | op(e3,e3) != e3 )
    & ( op(e2,e2) = e2
      | op(e3,e3) != e3 )
    & ( op(e3,e3) = e3
      | op(e3,e3) != e3 )
    & ( op(e4,e4) = e4
      | op(e3,e3) != e3 )
    & ( op(e5,e5) = e5
      | op(e3,e3) != e3 )
    & ( op(e6,e6) = e6
      | op(e3,e3) != e3 )
    & ( op(e0,e0) = e0
      | op(e4,e4) != e4 )
    & ( op(e1,e1) = e1
      | op(e4,e4) != e4 )
    & ( op(e2,e2) = e2
      | op(e4,e4) != e4 )
    & ( op(e3,e3) = e3
      | op(e4,e4) != e4 )
    & ( op(e4,e4) = e4
      | op(e4,e4) != e4 )
    & ( op(e5,e5) = e5
      | op(e4,e4) != e4 )
    & ( op(e6,e6) = e6
      | op(e4,e4) != e4 )
    & ( op(e0,e0) = e0
      | op(e5,e5) != e5 )
    & ( op(e1,e1) = e1
      | op(e5,e5) != e5 )
    & ( op(e2,e2) = e2
      | op(e5,e5) != e5 )
    & ( op(e3,e3) = e3
      | op(e5,e5) != e5 )
    & ( op(e4,e4) = e4
      | op(e5,e5) != e5 )
    & ( op(e5,e5) = e5
      | op(e5,e5) != e5 )
    & ( op(e6,e6) = e6
      | op(e5,e5) != e5 )
    & ( op(e0,e0) = e0
      | op(e6,e6) != e6 )
    & ( op(e1,e1) = e1
      | op(e6,e6) != e6 )
    & ( op(e2,e2) = e2
      | op(e6,e6) != e6 )
    & ( op(e3,e3) = e3
      | op(e6,e6) != e6 )
    & ( op(e4,e4) = e4
      | op(e6,e6) != e6 )
    & ( op(e5,e5) = e5
      | op(e6,e6) != e6 )
    & ( op(e6,e6) = e6
      | op(e6,e6) != e6 ) ),
    inference(distribute,[status(thm)],[519]) ).

cnf(526,negated_conjecture,
    ( op(e1,e1) = e1
    | op(e6,e6) != e6 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(527,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e6,e6) != e6 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(534,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e5,e5) != e5 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(541,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e4,e4) != e4 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(548,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e3,e3) != e3 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(555,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e2,e2) != e2 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(556,negated_conjecture,
    ( op(e6,e6) = e6
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(557,negated_conjecture,
    ( op(e5,e5) = e5
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(558,negated_conjecture,
    ( op(e4,e4) = e4
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(559,negated_conjecture,
    ( op(e3,e3) = e3
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(560,negated_conjecture,
    ( op(e2,e2) = e2
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(562,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(563,negated_conjecture,
    ( op(e6,e6) = e6
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[520]) ).

cnf(570,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)],[520]) ).

cnf(571,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)],[520]) ).

cnf(727,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 ),
    inference(csr,[status(thm)],[571,527]) ).

cnf(728,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | op(e4,e4) = e4 ),
    inference(csr,[status(thm)],[727,534]) ).

cnf(729,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3 ),
    inference(csr,[status(thm)],[728,541]) ).

cnf(730,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) = e1
    | op(e2,e2) = e2 ),
    inference(csr,[status(thm)],[729,548]) ).

cnf(731,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) = e1 ),
    inference(csr,[status(thm)],[730,555]) ).

cnf(732,negated_conjecture,
    op(e0,e0) = e0,
    inference(csr,[status(thm)],[731,562]) ).

cnf(754,negated_conjecture,
    ( op(e6,e6) = e6
    | $false ),
    inference(rw,[status(thm)],[563,732,theory(equality)]) ).

cnf(755,negated_conjecture,
    op(e6,e6) = e6,
    inference(cn,[status(thm)],[754,theory(equality)]) ).

cnf(3541,negated_conjecture,
    ( $false
    | 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(rw,[status(thm)],[570,732,theory(equality)]) ).

cnf(3542,negated_conjecture,
    ( 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(cn,[status(thm)],[3541,theory(equality)]) ).

cnf(3543,negated_conjecture,
    ( op(e1,e1) != e1
    | op(e2,e2) != e2
    | op(e3,e3) != e3
    | op(e4,e4) != e4
    | op(e5,e5) != e5 ),
    inference(csr,[status(thm)],[3542,556]) ).

cnf(3544,negated_conjecture,
    ( op(e1,e1) != e1
    | op(e2,e2) != e2
    | op(e3,e3) != e3
    | op(e4,e4) != e4 ),
    inference(csr,[status(thm)],[3543,557]) ).

cnf(3545,negated_conjecture,
    ( op(e1,e1) != e1
    | op(e2,e2) != e2
    | op(e3,e3) != e3 ),
    inference(csr,[status(thm)],[3544,558]) ).

cnf(3546,negated_conjecture,
    ( op(e1,e1) != e1
    | op(e2,e2) != e2 ),
    inference(csr,[status(thm)],[3545,559]) ).

cnf(3547,negated_conjecture,
    op(e1,e1) != e1,
    inference(csr,[status(thm)],[3546,560]) ).

cnf(3617,negated_conjecture,
    ( op(e1,e1) = e1
    | $false ),
    inference(rw,[status(thm)],[526,755,theory(equality)]) ).

cnf(3618,negated_conjecture,
    op(e1,e1) = e1,
    inference(cn,[status(thm)],[3617,theory(equality)]) ).

cnf(3619,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[3618,3547,theory(equality)]) ).

cnf(3620,negated_conjecture,
    $false,
    3619,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG194+1.p
% --creating new selector for []
% -running prover on /tmp/tmp_I4OT3/sel_ALG194+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG194+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG194+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG194+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
% 
%------------------------------------------------------------------------------