TSTP Solution File: SWV348-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:42:26 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of clauses : 49 ( 21 unt; 12 nHn; 49 RR)
% Number of literals : 116 ( 0 equ; 57 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 44 ( 44 usr; 30 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(3,axiom,
equal(c_Message_Oparts(c_Message_Oanalz(u)),c_Message_Oparts(u)),
file('SWV348-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oanalz(w),tc_Message_Omsg)
| c_in(v,c_Message_Oanalz(w),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oanalz(w),tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(w),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(u,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(u)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v)),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(v,w),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| c_in(w,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(y,z)))),x1)),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(y,z))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV348-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(u)),c_Message_Oanalz(v),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(u),w),c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(w,c_Message_Oanalz(v),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(y,z)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| c_in(v,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(y,z)))),c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OKey(x))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV348-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(v,c_Message_Omsg_OMPair(w,c_Message_Omsg_OCrypt(c_Public_OshrK(x),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(y),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(z),x1))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(x2,x3,c_Message_Omsg_OMPair(x4,c_Message_Omsg_OCrypt(c_Public_OshrK(x5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(x7),x1))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| equal(z,x7)
| c_in(x1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(v,c_Message_Omsg_OMPair(w,c_Message_Omsg_OCrypt(c_Public_OshrK(x),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(y),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(z),x1))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(x2,x3,c_Message_Omsg_OMPair(x4,c_Message_Omsg_OCrypt(c_Public_OshrK(x5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(x7),x1))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| equal(x,x5)
| c_in(x1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(13,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(v),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,w,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v),c_Message_Omsg_OMPair(y,z)))),c_Message_Omsg_OCrypt(c_Public_OshrK(x),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OKey(v))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| c_in(w,c_Event_Obad,tc_Message_Oagent)
| c_in(x,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(y,c_Message_Omsg_OMPair(z,c_Message_Omsg_OKey(v)))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV348-2.p',unknown),
[] ).
cnf(14,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV348-2.p',unknown),
[] ).
cnf(15,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV348-2.p',unknown),
[] ).
cnf(16,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('SWV348-2.p',unknown),
[] ).
cnf(17,axiom,
~ 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),u))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV348-2.p',unknown),
[] ).
cnf(18,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('SWV348-2.p',unknown),
[] ).
cnf(19,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('SWV348-2.p',unknown),
[] ).
cnf(20,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('SWV348-2.p',unknown),
[] ).
cnf(21,plain,
( ~ c_in(u,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(u)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[15,6]),
[iquote('0:Res:15.0,6.1')] ).
cnf(37,plain,
~ c_in(c_Message_Omsg_OMPair(u,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[4,19]),
[iquote('0:Res:4.1,19.0')] ).
cnf(40,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(u,c_Message_Omsg_OMPair(v,c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(y),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| equal(w,v_B) ),
inference(res,[status(thm),theory(equality)],[18,12]),
[iquote('0:Res:18.0,12.2')] ).
cnf(41,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(u,c_Message_Omsg_OMPair(v,c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(y),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| equal(y,v_NA) ),
inference(res,[status(thm),theory(equality)],[18,11]),
[iquote('0:Res:18.0,11.2')] ).
cnf(42,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| 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(res,[status(thm),theory(equality)],[16,7]),
[iquote('0:Res:16.0,7.1')] ).
cnf(44,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(mrr,[status(thm)],[42,15]),
[iquote('0:MRR:42.0,15.0')] ).
cnf(45,plain,
( ~ c_in(c_Event_Oevent_OGets(u,c_Message_Omsg_OMPair(v,c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(y),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| equal(y,v_NA) ),
inference(mrr,[status(thm)],[41,15,19]),
[iquote('0:MRR:41.0,41.2,15.0,19.0')] ).
cnf(46,plain,
( ~ c_in(c_Event_Oevent_OGets(u,c_Message_Omsg_OMPair(v,c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(y),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| equal(w,v_B) ),
inference(mrr,[status(thm)],[40,15,19]),
[iquote('0:MRR:40.0,40.2,15.0,19.0')] ).
cnf(54,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),w,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.1,1.0')] ).
cnf(69,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(res,[status(thm),theory(equality)],[44,5]),
[iquote('0:Res:44.0,5.0')] ).
cnf(80,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(res,[status(thm),theory(equality)],[44,54]),
[iquote('0:Res:44.0,54.0')] ).
cnf(81,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(rew,[status(thm),theory(equality)],[3,80]),
[iquote('0:Rew:3.0,80.0')] ).
cnf(92,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)
| 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) ),
inference(res,[status(thm),theory(equality)],[69,9]),
[iquote('0:Res:69.0,9.1')] ).
cnf(129,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)
| c_in(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(res,[status(thm),theory(equality)],[92,4]),
[iquote('0:Res:92.1,4.0')] ).
cnf(162,plain,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(y,z)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(v,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(y,z))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
inference(res,[status(thm),theory(equality)],[10,8]),
[iquote('0:Res:10.3,8.1')] ).
cnf(163,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(u),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(w),c_Message_Omsg_OMPair(x,y)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,z)),tc_Message_Omsg)
| ~ c_in(z,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(u,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(u),c_Message_Omsg_OMPair(x,y))))),c_List_Oset(z,tc_Event_Oevent),tc_Event_Oevent) ),
inference(obv,[status(thm),theory(equality)],[162]),
[iquote('0:Obv:162.0')] ).
cnf(169,plain,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(y,z)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(x),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| c_in(v,c_Event_Obad,tc_Message_Oagent)
| c_in(v,c_Event_Obad,tc_Message_Oagent)
| c_in(w,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(y,c_Message_Omsg_OMPair(z,c_Message_Omsg_OKey(x)))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
inference(res,[status(thm),theory(equality)],[10,13]),
[iquote('0:Res:10.3,13.2')] ).
cnf(170,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(u),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(w),c_Message_Omsg_OMPair(x,y)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,z)),tc_Message_Omsg)
| ~ c_in(z,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(w),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,z)),tc_Message_Omsg)
| c_in(u,c_Event_Obad,tc_Message_Oagent)
| c_in(v,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(y,c_Message_Omsg_OKey(w)))),c_List_Oset(z,tc_Event_Oevent),tc_Event_Oevent) ),
inference(obv,[status(thm),theory(equality)],[169]),
[iquote('0:Obv:169.4')] ).
cnf(174,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)
| c_in(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(res,[status(thm),theory(equality)],[129,4]),
[iquote('0:Res:129.1,4.0')] ).
cnf(195,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(mrr,[status(thm)],[174,37]),
[iquote('0:MRR:174.1,37.0')] ).
cnf(196,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(res,[status(thm),theory(equality)],[21,195]),
[iquote('0:Res:21.1,195.0')] ).
cnf(217,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| 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(res,[status(thm),theory(equality)],[81,163]),
[iquote('0:Res:81.0,163.0')] ).
cnf(218,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(mrr,[status(thm)],[217,15,196]),
[iquote('0:MRR:217.0,217.1,15.0,196.0')] ).
cnf(220,plain,
equal(v_NA,v_NAa),
inference(res,[status(thm),theory(equality)],[218,45]),
[iquote('0:Res:218.0,45.0')] ).
cnf(221,plain,
equal(v_Ba,v_B),
inference(res,[status(thm),theory(equality)],[218,46]),
[iquote('0:Res:218.0,46.0')] ).
cnf(223,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),u))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(rew,[status(thm),theory(equality)],[220,17]),
[iquote('0:Rew:220.0,17.0')] ).
cnf(230,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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(rew,[status(thm),theory(equality)],[221,81]),
[iquote('0:Rew:221.0,81.0')] ).
cnf(440,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ 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_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| 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) ),
inference(res,[status(thm),theory(equality)],[230,170]),
[iquote('0:Res:230.0,170.0')] ).
cnf(441,plain,
$false,
inference(mrr,[status(thm)],[440,15,20,196,14,223]),
[iquote('0:MRR:440.0,440.1,440.2,440.3,440.4,15.0,20.0,196.0,14.0,223.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 02:02:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51
% 0.19/0.51 SPASS V 3.9
% 0.19/0.51 SPASS beiseite: Proof found.
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 SPASS derived 318 clauses, backtracked 0 clauses, performed 0 splits and kept 185 clauses.
% 0.19/0.51 SPASS allocated 63686 KBytes.
% 0.19/0.51 SPASS spent 0:00:00.16 on the problem.
% 0.19/0.51 0:00:00.04 for the input.
% 0.19/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.51 0:00:00.02 for inferences.
% 0.19/0.51 0:00:00.00 for the backtracking.
% 0.19/0.51 0:00:00.07 for the reduction.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 Here is a proof with depth 6, length 49 :
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.52 Formulae used in the proof : cls_Message_OMPair__parts_1 cls_Message_Oparts_OInj_0 cls_Message_Oparts__analz_0 cls_Message_OMPair__analz_0 cls_Message_OMPair__analz_1 cls_Yahalom_OSpy__analz__shrK_1 cls_Yahalom_OGets__imp__analz__Spy__dest_0 cls_Yahalom_OSays__Server__imp__YM2_0 cls_Public_Oanalz__shrK__Decrypt_0 cls_Yahalom_OA__trusts__YM3_0 cls_Yahalom_OSays__unique__NB_0 cls_Yahalom_OSays__unique__NB_2 cls_Yahalom_OSpy__not__see__encrypted__key_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_5 cls_conjecture_8 cls_conjecture_9 cls_conjecture_10 cls_conjecture_11
% 0.19/0.52
%------------------------------------------------------------------------------