%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : RNG010-2 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:19:48 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   5 unt;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(middle_law,plain,
    ! [A,B] : ~ $equal(multiply(A,multiply(B,A)),multiply(multiply(A,B),A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/RNG/RNG010-2.tptp',unknown),
    [] ).

cnf(166262920,plain,
    ~ $equal(multiply(A,multiply(B,A)),multiply(multiply(A,B),A)),
    inference(rewrite,[status(thm)],[middle_law]),
    [] ).

fof(right_alternative,plain,
    ! [A,B] : $equal(multiply(A,multiply(B,B)),multiply(multiply(A,B),B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/RNG/RNG010-2.tptp',unknown),
    [] ).

cnf(166178880,plain,
    $equal(multiply(A,multiply(B,B)),multiply(multiply(A,B),B)),
    inference(rewrite,[status(thm)],[right_alternative]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[166262920,166178880]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(middle_law,plain,(~$equal(multiply(A,multiply(B,A)),multiply(multiply(A,B),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/RNG/RNG010-2.tptp',unknown),[]).
% 
% cnf(166262920,plain,(~$equal(multiply(A,multiply(B,A)),multiply(multiply(A,B),A))),inference(rewrite,[status(thm)],[middle_law]),[]).
% 
% fof(right_alternative,plain,($equal(multiply(A,multiply(B,B)),multiply(multiply(A,B),B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/RNG/RNG010-2.tptp',unknown),[]).
% 
% cnf(166178880,plain,($equal(multiply(A,multiply(B,B)),multiply(multiply(A,B),B))),inference(rewrite,[status(thm)],[right_alternative]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[166262920,166178880]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------