TSTP Solution File: SWV332-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 21:42:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 43 ( 15 unt; 11 nHn; 43 RR)
% Number of literals : 93 ( 0 equ; 48 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 28 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV332-2.p',unknown),
[] ).
cnf(2,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('SWV332-2.p',unknown),
[] ).
cnf(3,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('SWV332-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(u,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(u),v),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,w)),tc_Message_Omsg)
| c_in(v,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,w)),tc_Message_Omsg) ),
file('SWV332-2.p',unknown),
[] ).
cnf(5,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('SWV332-2.p',unknown),
[] ).
cnf(6,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_OKey(x))),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,w,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(w,v,x,u)),c_Message_Omsg_ONonce(v_sko__2jj(w,v,x,u)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OKey(x))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV332-2.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('SWV332-2.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(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(y,z)))),x1)),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,x2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(x2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(x4,x5)))),x6)),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| equal(v,x2) ),
file('SWV332-2.p',unknown),
[] ).
cnf(9,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(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(y,z)))),x1)),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,x2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(x2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(x4,x5)))),x6)),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| equal(w,x3) ),
file('SWV332-2.p',unknown),
[] ).
cnf(10,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV332-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ equal(u,v_X)
| ~ equal(v_Ba,v_B)
| ~ equal(v_Aa,v_A) ),
file('SWV332-2.p',unknown),
[] ).
cnf(12,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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV332-2.p',unknown),
[] ).
cnf(13,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('SWV332-2.p',unknown),
[] ).
cnf(14,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('SWV332-2.p',unknown),
[] ).
cnf(15,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV332-2.p',unknown),
[] ).
cnf(16,plain,
( ~ equal(v_Aa,v_A)
| ~ equal(v_Ba,v_B) ),
inference(aed,[status(thm),theory(equality)],[11]),
[iquote('0:AED:11.0')] ).
cnf(26,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),u),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[3,13]),
[iquote('0:Res:3.1,13.0')] ).
cnf(28,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),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_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(res,[status(thm),theory(equality)],[14,6]),
[iquote('0:Res:14.0,6.1')] ).
cnf(29,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_NA),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)],[12,7]),
[iquote('0:Res:12.0,7.1')] ).
cnf(31,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_NA),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)],[29,10]),
[iquote('0:MRR:29.0,10.0')] ).
cnf(32,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),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_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(mrr,[status(thm)],[28,10,15]),
[iquote('0:MRR:28.0,28.1,10.0,15.0')] ).
cnf(36,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_NA),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)],[31,3]),
[iquote('0:Res:31.0,3.0')] ).
cnf(39,plain,
( ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| 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_NA),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)],[36,4]),
[iquote('0:Res:36.0,4.1')] ).
cnf(40,plain,
( ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),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)],[39,2]),
[iquote('0:Res:39.1,2.0')] ).
cnf(42,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(mrr,[status(thm)],[40,26]),
[iquote('0:MRR:40.1,26.0')] ).
cnf(43,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(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(v_K),c_Message_Omsg_OMPair(w,x)))),y)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| equal(v_A,u) ),
inference(res,[status(thm),theory(equality)],[32,8]),
[iquote('0:Res:32.0,8.1')] ).
cnf(44,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(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(v_K),c_Message_Omsg_OMPair(w,x)))),y)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| equal(v_A,u) ),
inference(mrr,[status(thm)],[43,10]),
[iquote('0:MRR:43.0,10.0')] ).
cnf(46,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(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(v_K),c_Message_Omsg_OMPair(w,x)))),y)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| equal(v_B,v) ),
inference(res,[status(thm),theory(equality)],[32,9]),
[iquote('0:Res:32.0,9.1')] ).
cnf(47,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(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(v_K),c_Message_Omsg_OMPair(w,x)))),y)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| equal(v_B,v) ),
inference(mrr,[status(thm)],[46,10]),
[iquote('0:MRR:46.0,10.0')] ).
cnf(58,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ 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(v_K),c_Message_Omsg_OMPair(w,x)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(u,c_Event_Obad,tc_Message_Oagent)
| equal(v_B,v) ),
inference(res,[status(thm),theory(equality)],[5,47]),
[iquote('0:Res:5.3,47.0')] ).
cnf(59,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ 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(v_K),c_Message_Omsg_OMPair(w,x)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(u,c_Event_Obad,tc_Message_Oagent)
| equal(v_A,u) ),
inference(res,[status(thm),theory(equality)],[5,44]),
[iquote('0:Res:5.3,44.0')] ).
cnf(60,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(v_K),c_Message_Omsg_OMPair(w,x)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(u,c_Event_Obad,tc_Message_Oagent)
| equal(v_A,u) ),
inference(mrr,[status(thm)],[59,10]),
[iquote('0:MRR:59.0,10.0')] ).
cnf(61,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(v_K),c_Message_Omsg_OMPair(w,x)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(u,c_Event_Obad,tc_Message_Oagent)
| equal(v_B,v) ),
inference(mrr,[status(thm)],[58,10]),
[iquote('0:MRR:58.0,10.0')] ).
cnf(65,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(v_K),c_Message_Omsg_OMPair(w,x)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(u,c_Event_Obad,tc_Message_Oagent)
| equal(v_A,u) ),
inference(res,[status(thm),theory(equality)],[1,60]),
[iquote('0:Res:1.1,60.0')] ).
cnf(66,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(v_K),c_Message_Omsg_OMPair(w,x)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(u,c_Event_Obad,tc_Message_Oagent)
| equal(v_B,v) ),
inference(res,[status(thm),theory(equality)],[1,61]),
[iquote('0:Res:1.1,61.0')] ).
cnf(83,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| equal(v_Aa,v_A) ),
inference(res,[status(thm),theory(equality)],[36,65]),
[iquote('0:Res:36.0,65.0')] ).
cnf(84,plain,
equal(v_Aa,v_A),
inference(mrr,[status(thm)],[83,42]),
[iquote('0:MRR:83.0,42.0')] ).
cnf(85,plain,
( ~ equal(v_A,v_A)
| ~ equal(v_Ba,v_B) ),
inference(rew,[status(thm),theory(equality)],[84,16]),
[iquote('0:Rew:84.0,16.0')] ).
cnf(87,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),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_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[84,36]),
[iquote('0:Rew:84.0,36.0')] ).
cnf(89,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(rew,[status(thm),theory(equality)],[84,42]),
[iquote('0:Rew:84.0,42.0')] ).
cnf(90,plain,
~ equal(v_Ba,v_B),
inference(obv,[status(thm),theory(equality)],[85]),
[iquote('0:Obv:85.0')] ).
cnf(98,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| equal(v_Ba,v_B) ),
inference(res,[status(thm),theory(equality)],[87,66]),
[iquote('0:Res:87.0,66.0')] ).
cnf(99,plain,
$false,
inference(mrr,[status(thm)],[98,89,90]),
[iquote('0:MRR:98.0,98.1,89.0,90.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n014.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 05:24:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 64 clauses, backtracked 0 clauses, performed 0 splits and kept 62 clauses.
% 0.19/0.45 SPASS allocated 63377 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.01 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.02 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 5, length 43 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : cls_Message_Oanalz__conj__parts_0 cls_Message_OMPair__analz_0 cls_Message_OMPair__analz_1 cls_Public_OCrypt__Spy__analz__bad_0 cls_Yahalom_OA__trusts__YM3_0 cls_Yahalom_OB__trusts__YM4__shrK_0 cls_Yahalom_OGets__imp__analz__Spy__dest_0 cls_Yahalom_Ounique__session__keys_0 cls_Yahalom_Ounique__session__keys_1 cls_conjecture_0 cls_conjecture_11 cls_conjecture_3 cls_conjecture_6 cls_conjecture_8 cls_conjecture_9
% 0.19/0.46
%------------------------------------------------------------------------------