%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV348-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:07:30 AM UTC 2026
% Result : Unsatisfiable 0.16s 5.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 75 ( 33 unt; 0 def)
% Number of atoms : 166 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 166 ( 75 ~; 91 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 17 con; 0-3 aty)
% Number of variables : 173 ( 62 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Message_Oparts_OInj_0,axiom,
! [VAR_0,VAR_1] :
( c_in(VAR_0,c_Message_Oparts(VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,VAR_1,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(c_2,plain,
( c_in(A,c_Message_Oparts(B),tc_Message_Omsg)
| ~ c_in(A,B,tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_Oparts_OInj_0]) ).
fof(cls_Message_Oparts__analz_0,axiom,
! [VAR_0] : c_Message_Oparts(c_Message_Oanalz(VAR_0)) = c_Message_Oparts(VAR_0),
file('theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(c_3,plain,
c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A),
inference(clausify,[status(thm)],[cls_Message_Oparts__analz_0]) ).
fof(cls_Message_OMPair__analz_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_1,c_Message_Oanalz(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(VAR_0,VAR_1),c_Message_Oanalz(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OMPair__analz_0) ).
cnf(c_4,plain,
( c_in(B,c_Message_Oanalz(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_OMPair__analz_0]) ).
fof(cls_Message_OMPair__analz_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_0,c_Message_Oanalz(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(VAR_0,VAR_1),c_Message_Oanalz(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OMPair__analz_1) ).
cnf(c_5,plain,
( c_in(A,c_Message_Oanalz(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_OMPair__analz_1]) ).
fof(cls_Yahalom_OSpy__analz__shrK_1,axiom,
! [VAR_0,VAR_1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(VAR_0)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_1)),tc_Message_Omsg)
| ~ c_in(VAR_1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(VAR_0,c_Event_Obad,tc_Message_Oagent) ),
file('theBenchmark.p',cls_Yahalom_OSpy__analz__shrK_1) ).
cnf(c_6,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)
| ~ c_in(B,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(A,c_Event_Obad,tc_Message_Oagent) ),
inference(clausify,[status(thm)],[cls_Yahalom_OSpy__analz__shrK_1]) ).
fof(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(VAR_1,VAR_2),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(VAR_0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
cnf(c_7,plain,
( c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0]) ).
fof(cls_Yahalom_OSays__Server__imp__YM2_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6] :
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_1),c_Message_Omsg_OMPair(VAR_4,VAR_5))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,VAR_1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OMPair(VAR_3,c_Message_Omsg_OMPair(VAR_4,VAR_5)))),VAR_6)),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(VAR_0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
cnf(c_8,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(E,F))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(E,F)))),V6)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_Yahalom_OSays__Server__imp__YM2_0]) ).
fof(cls_Public_Oanalz__shrK__Decrypt_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_1,c_Message_Oanalz(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(VAR_0)),c_Message_Oanalz(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_0),VAR_1),c_Message_Oanalz(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Public_Oanalz__shrK__Decrypt_0) ).
cnf(c_9,plain,
( c_in(B,c_Message_Oanalz(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(C),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Public_Oanalz__shrK__Decrypt_0]) ).
fof(cls_Yahalom_OA__trusts__YM3_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,VAR_1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(VAR_3),c_Message_Omsg_OMPair(VAR_4,VAR_5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_1),c_Message_Omsg_OKey(VAR_3))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(VAR_1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(VAR_3),c_Message_Omsg_OMPair(VAR_4,VAR_5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_0)),tc_Message_Omsg)
| ~ c_in(VAR_0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).
cnf(c_10,plain,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| c_in(B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_Yahalom_OA__trusts__YM3_0]) ).
fof(cls_Yahalom_OSays__unique__NB_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12] :
( VAR_5 = VAR_12
| c_in(VAR_6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(VAR_7,VAR_8,c_Message_Omsg_OMPair(VAR_9,c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(VAR_12),VAR_6))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(VAR_1,c_Message_Omsg_OMPair(VAR_2,c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(VAR_5),VAR_6))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(VAR_0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).
cnf(c_11,plain,
( F = V12
| c_in(V6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V7,V8,c_Message_Omsg_OMPair(V9,c_Message_Omsg_OCrypt(c_Public_OshrK(V10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V12),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_Yahalom_OSays__unique__NB_0]) ).
fof(cls_Yahalom_OSays__unique__NB_2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12] :
( VAR_3 = VAR_10
| c_in(VAR_6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(VAR_7,VAR_8,c_Message_Omsg_OMPair(VAR_9,c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(VAR_12),VAR_6))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(VAR_1,c_Message_Omsg_OMPair(VAR_2,c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(VAR_5),VAR_6))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(VAR_0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_Yahalom_OSays__unique__NB_2) ).
cnf(c_12,plain,
( D = V10
| c_in(V6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V7,V8,c_Message_Omsg_OMPair(V9,c_Message_Omsg_OCrypt(c_Public_OshrK(V10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V12),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_Yahalom_OSays__unique__NB_2]) ).
fof(cls_Yahalom_OSpy__not__see__encrypted__key_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(VAR_4,c_Message_Omsg_OMPair(VAR_5,c_Message_Omsg_OKey(VAR_3)))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(VAR_1,c_Event_Obad,tc_Message_Oagent)
| c_in(VAR_2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(VAR_3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,VAR_1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(VAR_3),c_Message_Omsg_OMPair(VAR_4,VAR_5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_1),c_Message_Omsg_OKey(VAR_3))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(VAR_0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_Yahalom_OSpy__not__see__encrypted__key_0) ).
cnf(c_13,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(D)))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| c_in(B,c_Event_Obad,tc_Message_Oagent)
| c_in(C,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_Yahalom_OSpy__not__see__encrypted__key_0]) ).
fof(cls_conjecture_1,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_14,plain,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_2,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_15,plain,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_5,axiom,
c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(c_16,plain,
c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
fof(cls_conjecture_8,axiom,
! [VAR_0] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),VAR_0))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('theBenchmark.p',cls_conjecture_8) ).
cnf(c_17,plain,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),A))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(clausify,[status(thm)],[cls_conjecture_8]) ).
fof(cls_conjecture_9,axiom,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('theBenchmark.p',cls_conjecture_9) ).
cnf(c_18,plain,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(clausify,[status(thm)],[cls_conjecture_9]) ).
fof(cls_conjecture_10,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_10) ).
cnf(c_19,plain,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_10]) ).
fof(cls_conjecture_11,axiom,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_11) ).
cnf(c_20,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_11]) ).
cnf(c_22,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[status(thm)],[c_15,c_6]) ).
cnf(c_144,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolve,[status(thm)],[c_16,c_7]) ).
cnf(c_23,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_15,c_144]) ).
cnf(c_145,plain,
( C = v_B
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolve,[status(thm)],[c_18,c_12]) ).
cnf(c_146,plain,
( v_B = C
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(copy,[status(thm)],[c_145]) ).
cnf(c_147,plain,
( v_B = C
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolve,[status(thm)],[c_15,c_146]) ).
cnf(c_24,plain,
( v_B = C
| ~ c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolve,[status(thm)],[c_19,c_147]) ).
cnf(c_148,plain,
( E = v_NA
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolve,[status(thm)],[c_18,c_11]) ).
cnf(c_149,plain,
( v_NA = E
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(copy,[status(thm)],[c_148]) ).
cnf(c_150,plain,
( v_NA = E
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolve,[status(thm)],[c_15,c_149]) ).
cnf(c_25,plain,
( v_NA = E
| ~ c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolve,[status(thm)],[c_19,c_150]) ).
cnf(c_28,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_evs4)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_4,c_19]) ).
cnf(c_36,plain,
~ c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_4,c_28]) ).
cnf(c_44,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_23,c_5]) ).
cnf(c_55,plain,
~ c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_4,c_36]) ).
cnf(c_151,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_44,c_9]) ).
cnf(c_70,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_55,c_151]) ).
cnf(c_152,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_44,c_2]) ).
cnf(c_71,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_3,c_152]) ).
cnf(c_153,plain,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolve,[status(thm)],[c_71,c_10]) ).
cnf(c_72,plain,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[status(thm)],[c_15,c_153]) ).
cnf(c_74,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(resolve,[status(thm)],[c_22,c_70]) ).
cnf(c_78,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(resolve,[status(thm)],[c_74,c_72]) ).
cnf(c_154,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolve,[status(thm)],[c_78,c_13]) ).
cnf(c_155,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_15,c_154]) ).
cnf(c_156,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[status(thm)],[c_20,c_155]) ).
cnf(c_126,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[status(thm)],[c_74,c_156]) ).
cnf(c_157,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolve,[status(thm)],[c_78,c_8]) ).
cnf(c_127,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(resolve,[status(thm)],[c_15,c_157]) ).
cnf(c_158,plain,
v_NA = v_NAa,
inference(resolve,[status(thm)],[c_127,c_25]) ).
cnf(c_137,plain,
v_NAa = v_NA,
inference(copy,[status(thm)],[c_158]) ).
cnf(c_159,plain,
v_B = v_Ba,
inference(resolve,[status(thm)],[c_127,c_24]) ).
cnf(c_138,plain,
v_Ba = v_B,
inference(copy,[status(thm)],[c_159]) ).
cnf(c_160,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
inference(paramod,[status(thm)],[c_138,c_126]) ).
cnf(c_161,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
inference(paramod,[status(thm)],[c_137,c_160]) ).
cnf(c_162,plain,
c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(resolve,[status(thm)],[c_14,c_161]) ).
cnf(c_143,plain,
$false,
inference(resolve,[status(thm)],[c_17,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV348-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.39 % Computer : n010.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sat Sep 26 13:36:39 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/5.39 % Process 3443598 was started by sandbox2 on n010,
% 0.12/5.39 % Sat Sep 26 13:36:39 2026
% 0.12/5.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/5.40
% 0.16/5.40 % From the command line: assign(max_seconds, 300).
% 0.16/5.43
% 0.16/5.43 % SZS status Unsatisfiable for theBenchmark
% 0.16/5.43
% 0.16/5.43 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.16/5.43 % Length of proof is 37.
% 0.16/5.43 % Level of proof is 9.
% 0.16/5.43 % Maximum clause weight is 113.000.
% 0.16/5.43 % Given clauses 93.
% 0.16/5.43
% 0.16/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------