%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : COM009-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 11:36:41 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   6   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_UNITY_Oall__total__imp__totalize_0,plain,
    ! [A,B] :
      ( ~ c_unity_oall__total(A,B)
      | $equal(c_unity_ototalize(A,B),A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM009-2.tptp',unknown),
    [] ).

cnf(173923288,plain,
    ( ~ c_unity_oall__total(A,B)
    | $equal(c_unity_ototalize(A,B),A) ),
    inference(rewrite,[status(thm)],[cls_UNITY_Oall__total__imp__totalize_0]),
    [] ).

fof(cls_conjecture_1,plain,
    ( c_unity_oall__total(v_f,t_a)
    | $equal(c_unity_ototalize(v_f,t_a),v_f) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM009-2.tptp',unknown),
    [] ).

cnf(173916976,plain,
    ( c_unity_oall__total(v_f,t_a)
    | $equal(c_unity_ototalize(v_f,t_a),v_f) ),
    inference(rewrite,[status(thm)],[cls_conjecture_1]),
    [] ).

cnf(184332296,plain,
    $equal(c_unity_ototalize(v_f,t_a),v_f),
    inference(resolution,[status(thm)],[173923288,173916976]),
    [] ).

fof(cls_conjecture_0,plain,
    ( ~ $equal(c_unity_ototalize(v_f,t_a),v_f)
    | ~ c_unity_oall__total(v_f,t_a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM009-2.tptp',unknown),
    [] ).

cnf(173910392,plain,
    ( ~ $equal(c_unity_ototalize(v_f,t_a),v_f)
    | ~ c_unity_oall__total(v_f,t_a) ),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

fof(cls_UNITY_Oall__total__totalize_0,plain,
    ! [A,B] : c_unity_oall__total(c_unity_ototalize(A,B),B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM009-2.tptp',unknown),
    [] ).

cnf(173927256,plain,
    c_unity_oall__total(c_unity_ototalize(A,B),B),
    inference(rewrite,[status(thm)],[cls_UNITY_Oall__total__totalize_0]),
    [] ).

cnf(184338152,plain,
    c_unity_oall__total(v_f,t_a),
    inference(paramodulation,[status(thm)],[184332296,173927256,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[184332296,173910392,184338152]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_UNITY_Oall__total__imp__totalize_0,plain,(~c_unity_oall__total(A,B)|$equal(c_unity_ototalize(A,B),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM009-2.tptp',unknown),[]).
% 
% cnf(173923288,plain,(~c_unity_oall__total(A,B)|$equal(c_unity_ototalize(A,B),A)),inference(rewrite,[status(thm)],[cls_UNITY_Oall__total__imp__totalize_0]),[]).
% 
% fof(cls_conjecture_1,plain,(c_unity_oall__total(v_f,t_a)|$equal(c_unity_ototalize(v_f,t_a),v_f)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM009-2.tptp',unknown),[]).
% 
% cnf(173916976,plain,(c_unity_oall__total(v_f,t_a)|$equal(c_unity_ototalize(v_f,t_a),v_f)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
% 
% cnf(184332296,plain,($equal(c_unity_ototalize(v_f,t_a),v_f)),inference(resolution,[status(thm)],[173923288,173916976]),[]).
% 
% fof(cls_conjecture_0,plain,(~$equal(c_unity_ototalize(v_f,t_a),v_f)|~c_unity_oall__total(v_f,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM009-2.tptp',unknown),[]).
% 
% cnf(173910392,plain,(~$equal(c_unity_ototalize(v_f,t_a),v_f)|~c_unity_oall__total(v_f,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% fof(cls_UNITY_Oall__total__totalize_0,plain,(c_unity_oall__total(c_unity_ototalize(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM009-2.tptp',unknown),[]).
% 
% cnf(173927256,plain,(c_unity_oall__total(c_unity_ototalize(A,B),B)),inference(rewrite,[status(thm)],[cls_UNITY_Oall__total__totalize_0]),[]).
% 
% cnf(184338152,plain,(c_unity_oall__total(v_f,t_a)),inference(paramodulation,[status(thm)],[184332296,173927256,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[184332296,173910392,184338152]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------