TSTP Solution File: SWV307-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV307-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 16:31:02 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  12   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   19 (   5 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Message_Oparts_OBody__dest_0,plain,
    ! [A,B,C] :
      ( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_oparts(C),tc_message_omsg)
      | c_in(B,c_message_oparts(C),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),
    [] ).

cnf(144408368,plain,
    ( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_oparts(C),tc_message_omsg)
    | c_in(B,c_message_oparts(C),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Message_Oparts_OBody__dest_0]),
    [] ).

fof(cls_Message_OMPair__parts_1,plain,
    ! [A,B,C] :
      ( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
      | c_in(A,c_message_oparts(C),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),
    [] ).

cnf(144402368,plain,
    ( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
    | c_in(A,c_message_oparts(C),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_1]),
    [] ).

fof(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,plain,
    ! [A,B] :
      ( ~ c_in(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg)
      | c_in(A,c_event_oused(B),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),
    [] ).

cnf(144383128,plain,
    ( ~ c_in(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg)
    | c_in(A,c_event_oused(B),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]),
    [] ).

fof(cls_conjecture_2,plain,
    ~ c_in(c_message_omsg_ononce(v_nb),c_event_oused(v_evs2),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),
    [] ).

cnf(144362440,plain,
    ~ c_in(c_message_omsg_ononce(v_nb),c_event_oused(v_evs2),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_2]),
    [] ).

fof(cls_conjecture_6,plain,
    $equal(c_message_omsg_ononce(v_nb),v_na),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),
    [] ).

cnf(144377080,plain,
    $equal(c_message_omsg_ononce(v_nb),v_na),
    inference(rewrite,[status(thm)],[cls_conjecture_6]),
    [] ).

cnf(157652184,plain,
    ~ c_in(v_na,c_event_oused(v_evs2),tc_message_omsg),
    inference(paramodulation,[status(thm)],[144362440,144377080,theory(equality)]),
    [] ).

cnf(157674928,plain,
    ~ c_in(v_na,c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
    inference(resolution,[status(thm)],[144383128,157652184]),
    [] ).

cnf(157714752,plain,
    ~ c_in(c_message_omsg_ompair(v_na,A),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
    inference(resolution,[status(thm)],[144402368,157674928]),
    [] ).

cnf(157910952,plain,
    ~ c_in(c_message_omsg_ocrypt(A,c_message_omsg_ompair(v_na,B)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
    inference(resolution,[status(thm)],[144408368,157714752]),
    [] ).

fof(cls_conjecture_4,plain,
    c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),
    [] ).

cnf(144367776,plain,
    c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_4]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[157910952,144367776]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Message_Oparts_OBody__dest_0,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_oparts(C),tc_message_omsg)|c_in(B,c_message_oparts(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),[]).
% 
% cnf(144408368,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_oparts(C),tc_message_omsg)|c_in(B,c_message_oparts(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oparts_OBody__dest_0]),[]).
% 
% fof(cls_Message_OMPair__parts_1,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(A,c_message_oparts(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),[]).
% 
% cnf(144402368,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(A,c_message_oparts(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_1]),[]).
% 
% fof(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,plain,(~c_in(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg)|c_in(A,c_event_oused(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),[]).
% 
% cnf(144383128,plain,(~c_in(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg)|c_in(A,c_event_oused(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]),[]).
% 
% fof(cls_conjecture_2,plain,(~c_in(c_message_omsg_ononce(v_nb),c_event_oused(v_evs2),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),[]).
% 
% cnf(144362440,plain,(~c_in(c_message_omsg_ononce(v_nb),c_event_oused(v_evs2),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
% 
% fof(cls_conjecture_6,plain,($equal(c_message_omsg_ononce(v_nb),v_na)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),[]).
% 
% cnf(144377080,plain,($equal(c_message_omsg_ononce(v_nb),v_na)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
% 
% cnf(157652184,plain,(~c_in(v_na,c_event_oused(v_evs2),tc_message_omsg)),inference(paramodulation,[status(thm)],[144362440,144377080,theory(equality)]),[]).
% 
% cnf(157674928,plain,(~c_in(v_na,c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),inference(resolution,[status(thm)],[144383128,157652184]),[]).
% 
% cnf(157714752,plain,(~c_in(c_message_omsg_ompair(v_na,A),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),inference(resolution,[status(thm)],[144402368,157674928]),[]).
% 
% cnf(157910952,plain,(~c_in(c_message_omsg_ocrypt(A,c_message_omsg_ompair(v_na,B)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),inference(resolution,[status(thm)],[144408368,157714752]),[]).
% 
% fof(cls_conjecture_4,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV307-2.tptp',unknown),[]).
% 
% cnf(144367776,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[157910952,144367776]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------