TSTP Solution File: SWV357-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV357-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 16:33:36 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   13 (   3 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Message_OMPair__analz_0,plain,
    ! [A,B,C] :
      ( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
      | c_in(B,c_message_oanalz(C),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),
    [] ).

cnf(155191784,plain,
    ( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
    | c_in(B,c_message_oanalz(C),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_0]),
    [] ).

fof(cls_conjecture_6,plain,
    ~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),
    [] ).

cnf(155175072,plain,
    ~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_6]),
    [] ).

cnf(168374104,plain,
    ~ c_in(c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
    inference(resolution,[status(thm)],[155191784,155175072]),
    [] ).

fof(cls_conjecture_2,plain,
    c_in(v_evs2,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),
    [] ).

cnf(155161376,plain,
    c_in(v_evs2,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
    inference(rewrite,[status(thm)],[cls_conjecture_2]),
    [] ).

fof(cls_Yahalom_OGets__imp__analz__Spy__dest_0,plain,
    ! [A,B,C] :
      ( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
      | ~ c_in(c_event_oevent_ogets(B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)
      | c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),
    [] ).

cnf(155242384,plain,
    ( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
    | ~ c_in(c_event_oevent_ogets(B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)
    | c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0]),
    [] ).

fof(cls_conjecture_4,plain,
    c_in(c_event_oevent_ogets(v_ba,c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ononce(v_nb))),c_list_oset(v_evs2,tc_event_oevent),tc_event_oevent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),
    [] ).

cnf(155165824,plain,
    c_in(c_event_oevent_ogets(v_ba,c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ononce(v_nb))),c_list_oset(v_evs2,tc_event_oevent),tc_event_oevent),
    inference(rewrite,[status(thm)],[cls_conjecture_4]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168374104,155161376,155242384,155165824]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(cls_Message_OMPair__analz_0,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(B,c_message_oanalz(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),[]).
% 
% cnf(155191784,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(B,c_message_oanalz(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_0]),[]).
% 
% fof(cls_conjecture_6,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),[]).
% 
% cnf(155175072,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
% 
% cnf(168374104,plain,(~c_in(c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),inference(resolution,[status(thm)],[155191784,155175072]),[]).
% 
% fof(cls_conjecture_2,plain,(c_in(v_evs2,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),[]).
% 
% cnf(155161376,plain,(c_in(v_evs2,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
% 
% fof(cls_Yahalom_OGets__imp__analz__Spy__dest_0,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_ogets(B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),[]).
% 
% cnf(155242384,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_ogets(B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0]),[]).
% 
% fof(cls_conjecture_4,plain,(c_in(c_event_oevent_ogets(v_ba,c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ononce(v_nb))),c_list_oset(v_evs2,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV357-2.tptp',unknown),[]).
% 
% cnf(155165824,plain,(c_in(c_event_oevent_ogets(v_ba,c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ononce(v_nb))),c_list_oset(v_evs2,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168374104,155161376,155242384,155165824]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------