TSTP Solution File: SWV339-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV339-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 16:32:41 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   2   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :    4 (   2 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Public_OshrK__in__used_0,plain,
    ! [A,B] : c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oused(B),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV339-2.tptp',unknown),
    [] ).

cnf(151345112,plain,
    c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oused(B),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_Public_OshrK__in__used_0]),
    [] ).

fof(cls_conjecture_6,plain,
    ~ c_in(c_message_omsg_okey(v_k),c_event_oused(v_evs3),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV339-2.tptp',unknown),
    [] ).

cnf(151333448,plain,
    ~ c_in(c_message_omsg_okey(v_k),c_event_oused(v_evs3),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_6]),
    [] ).

fof(cls_conjecture_8,plain,
    ( $equal(c_public_oshrk(v_b),v_k)
    | $equal(c_public_oshrk(v_a),v_k) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV339-2.tptp',unknown),
    [] ).

cnf(151340120,plain,
    ( $equal(c_public_oshrk(v_b),v_k)
    | $equal(c_public_oshrk(v_a),v_k) ),
    inference(rewrite,[status(thm)],[cls_conjecture_8]),
    [] ).

cnf(161767816,plain,
    $equal(c_public_oshrk(v_b),v_k),
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151345112,151333448,151340120,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151345112,161767816,151333448,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Public_OshrK__in__used_0,plain,(c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oused(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV339-2.tptp',unknown),[]).
% 
% cnf(151345112,plain,(c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oused(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Public_OshrK__in__used_0]),[]).
% 
% fof(cls_conjecture_6,plain,(~c_in(c_message_omsg_okey(v_k),c_event_oused(v_evs3),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV339-2.tptp',unknown),[]).
% 
% cnf(151333448,plain,(~c_in(c_message_omsg_okey(v_k),c_event_oused(v_evs3),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
% 
% fof(cls_conjecture_8,plain,($equal(c_public_oshrk(v_b),v_k)|$equal(c_public_oshrk(v_a),v_k)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV339-2.tptp',unknown),[]).
% 
% cnf(151340120,plain,($equal(c_public_oshrk(v_b),v_k)|$equal(c_public_oshrk(v_a),v_k)),inference(rewrite,[status(thm)],[cls_conjecture_8]),[]).
% 
% cnf(161767816,plain,($equal(c_public_oshrk(v_b),v_k)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151345112,151333448,151340120,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151345112,161767816,151333448,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------