TSTP Solution File: SWV326-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV326-2 : TPTP v3.4.2. Released v3.2.0.
% 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 16:32:00 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 11 |; 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 : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 20 ( 6 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_32,plain,
( ~ $equal(v_c,v_ba)
| c_in(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_oagent(v_b)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV326-2.tptp',unknown),
[] ).
cnf(151601544,plain,
( ~ $equal(v_c,v_ba)
| c_in(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_oagent(v_b)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_conjecture_32]),
[] ).
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/SWV326-2.tptp',unknown),
[] ).
cnf(151569800,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/SWV326-2.tptp',unknown),
[] ).
cnf(151559584,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/SWV326-2.tptp',unknown),
[] ).
cnf(151544240,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_naa),c_event_oused(v_evs1),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV326-2.tptp',unknown),
[] ).
cnf(151573904,plain,
~ c_in(c_message_omsg_ononce(v_naa),c_event_oused(v_evs1),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(170034368,plain,
~ c_in(c_message_omsg_ononce(v_naa),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg),
inference(resolution,[status(thm)],[151544240,151573904]),
[] ).
cnf(170145736,plain,
~ c_in(c_message_omsg_ompair(c_message_omsg_ononce(v_naa),A),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg),
inference(resolution,[status(thm)],[151559584,170034368]),
[] ).
cnf(170369264,plain,
~ c_in(c_message_omsg_ocrypt(A,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),B)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg),
inference(resolution,[status(thm)],[151569800,170145736]),
[] ).
cnf(174953656,plain,
~ $equal(v_c,v_ba),
inference(resolution,[status(thm)],[151601544,170369264]),
[] ).
fof(cls_conjecture_21,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_c)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)
| $equal(v_ba,v_c) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV326-2.tptp',unknown),
[] ).
cnf(151585096,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_c)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)
| $equal(v_ba,v_c) ),
inference(rewrite,[status(thm)],[cls_conjecture_21]),
[] ).
cnf(170479696,plain,
( c_in(c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_c))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)
| $equal(v_ba,v_c) ),
inference(resolution,[status(thm)],[151569800,151585096]),
[] ).
cnf(174999320,plain,
c_in(c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_c))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg),
inference(paramodulation,[status(thm)],[174953656,170479696,theory(equality)]),
[] ).
fof(cls_conjecture_5,plain,
$equal(c_message_omsg_ononce(v_naa),v_na),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV326-2.tptp',unknown),
[] ).
cnf(151609992,plain,
$equal(c_message_omsg_ononce(v_naa),v_na),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
cnf(170054272,plain,
~ c_in(v_na,c_event_oused(v_evs1),tc_message_omsg),
inference(paramodulation,[status(thm)],[151573904,151609992,theory(equality)]),
[] ).
cnf(170073032,plain,
~ c_in(v_na,c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg),
inference(resolution,[status(thm)],[151544240,170054272]),
[] ).
cnf(170120392,plain,
~ c_in(c_message_omsg_ompair(v_na,A),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg),
inference(resolution,[status(thm)],[151559584,170073032]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174999320,170120392]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_32,plain,(~$equal(v_c,v_ba)|c_in(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_oagent(v_b)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV326-2.tptp',unknown),[]).
%
% cnf(151601544,plain,(~$equal(v_c,v_ba)|c_in(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_oagent(v_b)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_32]),[]).
%
% 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/SWV326-2.tptp',unknown),[]).
%
% cnf(151569800,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/SWV326-2.tptp',unknown),[]).
%
% cnf(151559584,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/SWV326-2.tptp',unknown),[]).
%
% cnf(151544240,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_naa),c_event_oused(v_evs1),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV326-2.tptp',unknown),[]).
%
% cnf(151573904,plain,(~c_in(c_message_omsg_ononce(v_naa),c_event_oused(v_evs1),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(170034368,plain,(~c_in(c_message_omsg_ononce(v_naa),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)),inference(resolution,[status(thm)],[151544240,151573904]),[]).
%
% cnf(170145736,plain,(~c_in(c_message_omsg_ompair(c_message_omsg_ononce(v_naa),A),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)),inference(resolution,[status(thm)],[151559584,170034368]),[]).
%
% cnf(170369264,plain,(~c_in(c_message_omsg_ocrypt(A,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),B)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)),inference(resolution,[status(thm)],[151569800,170145736]),[]).
%
% cnf(174953656,plain,(~$equal(v_c,v_ba)),inference(resolution,[status(thm)],[151601544,170369264]),[]).
%
% fof(cls_conjecture_21,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_c)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)|$equal(v_ba,v_c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV326-2.tptp',unknown),[]).
%
% cnf(151585096,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_c)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)|$equal(v_ba,v_c)),inference(rewrite,[status(thm)],[cls_conjecture_21]),[]).
%
% cnf(170479696,plain,(c_in(c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_c))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)|$equal(v_ba,v_c)),inference(resolution,[status(thm)],[151569800,151585096]),[]).
%
% cnf(174999320,plain,(c_in(c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_c))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)),inference(paramodulation,[status(thm)],[174953656,170479696,theory(equality)]),[]).
%
% fof(cls_conjecture_5,plain,($equal(c_message_omsg_ononce(v_naa),v_na)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV326-2.tptp',unknown),[]).
%
% cnf(151609992,plain,($equal(c_message_omsg_ononce(v_naa),v_na)),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% cnf(170054272,plain,(~c_in(v_na,c_event_oused(v_evs1),tc_message_omsg)),inference(paramodulation,[status(thm)],[151573904,151609992,theory(equality)]),[]).
%
% cnf(170073032,plain,(~c_in(v_na,c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)),inference(resolution,[status(thm)],[151544240,170054272]),[]).
%
% cnf(170120392,plain,(~c_in(c_message_omsg_ompair(v_na,A),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs1)),tc_message_omsg)),inference(resolution,[status(thm)],[151559584,170073032]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174999320,170120392]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------