%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV354-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 : Thu Sep 24 02:50:37 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV354-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.03/0.35 % CPULimit : 300
% 0.03/0.35 % WCLimit : 300
% 0.03/0.35 % DateTime : Mon Sep 21 08:42:36 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 0.03/0.39 % Refutation found
% 0.03/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.39 fof(f1,axiom,(
% 0.03/0.39 (![V_evs,V_A,V_B,V_KAB,V_na,V_NB_H,V_X,V_NB]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ 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_KAB),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB_H))))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)| c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| V_NB = V_NB_H| V_KAB = c_Public_OshrK(v_sko__2VY(V_KAB)) ) ))),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f2,axiom,(
% 0.03/0.39 (![V_evs,V_A,V_B,V_k,V_na,V_nb,V_X]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ 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(V_k,c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(c_Event_Oevent_OGets(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(V_na,V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f3,axiom,(
% 0.03/0.39 (![V_evs,V_S_H,V_X_H,V_B_H,V_A_H,V_NA_H,V_nb,V_C,V_S,V_X,V_B,V_A,V_NA]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,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),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| V_NA_H = V_NA ) ))),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f4,axiom,(
% 0.03/0.39 (![V_evs,V_A,V_B,V_x,V_na,V_nb,V_X]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ 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(c_Public_OshrK(V_x)),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f5,negated_conjecture,(
% 0.03/0.39 c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f6,negated_conjecture,(
% 0.03/0.39 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_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f7,negated_conjecture,(
% 0.03/0.39 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_evso,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f8,negated_conjecture,(
% 0.03/0.39 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f9,negated_conjecture,(
% 0.03/0.39 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg) ),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f10,negated_conjecture,(
% 0.03/0.39 (![V_U]: (( V_U != c_Message_Omsg_OKey(v_K)| v_NA != v_NAa| v_NB != v_NBa ) ))),
% 0.03/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f11,plain,(
% 0.03/0.39 ![V_KAB]: ((![V_NB_H,V_NB]: ((![V_evs]: (((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_A,V_B,V_na,V_X]: ~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_KAB),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB_H))))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|~c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg))|c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|V_NB=V_NB_H))|V_KAB=c_Public_OshrK(v_sko__2VY(V_KAB)))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.03/0.39 fof(f12,plain,(
% 0.03/0.39 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X5))))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X3),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|X7=X5|X3=c_Public_OshrK(v_sko__2VY(X3)))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.03/0.39 fof(f13,plain,(
% 0.03/0.39 ![V_evs,V_A,V_B,V_na,V_nb]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_k,V_X]: ~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(V_k,c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|c_in(c_Event_Oevent_OGets(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(V_na,V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f2])).
% 0.03/0.39 fof(f14,plain,(
% 0.03/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.03/0.39 fof(f15,plain,(
% 0.03/0.39 ![V_NA_H,V_NA]: ((![V_evs,V_nb]: (((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_S_H,V_X_H,V_B_H,V_A_H]: ~c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|(![V_C,V_S,V_X,V_B,V_A]: ~c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,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),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|V_NA_H=V_NA)),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.03/0.39 fof(f16,plain,(
% 0.03/0.39 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OSays(X7,X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|X5=X12)),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.03/0.39 fof(f17,plain,(
% 0.03/0.39 ![V_evs]: (~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_A,V_B,V_x,V_na,V_nb,V_X]: ~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(c_Public_OshrK(V_x)),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.03/0.39 fof(f18,plain,(
% 0.03/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.03/0.39 fof(f19,plain,(
% 0.03/0.39 c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.39 fof(f20,plain,(
% 0.03/0.39 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_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/0.39 fof(f21,plain,(
% 0.03/0.39 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_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/0.39 fof(f22,plain,(
% 0.03/0.39 ~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.03/0.39 fof(f23,plain,(
% 0.03/0.39 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.03/0.39 fof(f24,plain,(
% 0.03/0.39 ((![V_U]: ~V_U=c_Message_Omsg_OKey(v_K))|~v_NA=v_NAa)|~v_NB=v_NBa),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f10])).
% 0.03/0.39 fof(f25,plain,(
% 0.03/0.39 ![X0]: (~X0=c_Message_Omsg_OKey(v_K)|~v_NA=v_NAa|~v_NB=v_NBa)),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.03/0.39 fof(f26,plain,(
% 0.03/0.39 ~v_NA=v_NAa|~v_NB=v_NBa),
% 0.03/0.39 inference(destructive_equality_resolution,[status(thm)],[f25])).
% 0.03/0.39 fof(f27,plain,(
% 0.03/0.39 ![X0]: (~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|X0=v_NBa|v_K=c_Public_OshrK(v_sko__2VY(v_K)))),
% 0.03/0.39 inference(resolution,[status(thm)],[f12,f20])).
% 0.03/0.39 fof(f28,plain,(
% 0.03/0.39 ![X0]: (~c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|X0=v_NBa|v_K=c_Public_OshrK(v_sko__2VY(v_K)))),
% 0.03/0.39 inference(forward_subsumption_resolution,[status(thm)],[f27,f19])).
% 0.03/0.39 fof(f29,plain,(
% 0.03/0.39 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|v_NB=v_NBa|v_K=c_Public_OshrK(v_sko__2VY(v_K))),
% 0.03/0.39 inference(resolution,[status(thm)],[f28,f23])).
% 0.03/0.39 fof(f30,plain,(
% 0.03/0.39 v_NB=v_NBa|v_K=c_Public_OshrK(v_sko__2VY(v_K))),
% 0.03/0.39 inference(forward_subsumption_resolution,[status(thm)],[f29,f22])).
% 0.03/0.39 fof(f32,plain,(
% 0.03/0.39 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|v_NB=v_NBa)),
% 0.03/0.39 inference(paramodulation,[status(thm)],[f30,f18])).
% 0.03/0.39 fof(f34,plain,(
% 0.03/0.39 ~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|v_NB=v_NBa),
% 0.03/0.39 inference(resolution,[status(thm)],[f32,f20])).
% 0.03/0.39 fof(f36,plain,(
% 0.03/0.39 v_NB=v_NBa),
% 0.03/0.39 inference(forward_subsumption_resolution,[status(thm)],[f34,f19])).
% 0.03/0.39 fof(f40,plain,(
% 0.03/0.39 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_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.03/0.39 inference(backward_demodulation,[status(thm)],[f36,f21])).
% 0.03/0.39 fof(f42,plain,(
% 0.03/0.39 ~c_in(c_Message_Omsg_ONonce(v_NBa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.03/0.39 inference(backward_demodulation,[status(thm)],[f36,f22])).
% 0.03/0.39 fof(f43,plain,(
% 0.03/0.39 ~v_NA=v_NAa|~v_NBa=v_NBa),
% 0.03/0.39 inference(backward_demodulation,[status(thm)],[f36,f26])).
% 0.03/0.39 fof(f44,plain,(
% 0.03/0.39 ~v_NA=v_NAa),
% 0.03/0.39 inference(trivial_equality_resolution,[status(thm)],[f43])).
% 0.03/0.39 fof(f45,plain,(
% 0.03/0.39 ~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|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_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.03/0.39 inference(resolution,[status(thm)],[f14,f20])).
% 0.03/0.39 fof(f46,plain,(
% 0.03/0.39 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_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.03/0.39 inference(forward_subsumption_resolution,[status(thm)],[f45,f19])).
% 0.03/0.39 fof(f47,plain,(
% 0.03/0.39 ![X0,X1,X2,X3,X4]: (~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Message_Omsg_ONonce(v_NBa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|X4=v_NA)),
% 0.03/0.39 inference(resolution,[status(thm)],[f40,f16])).
% 0.03/0.39 fof(f48,plain,(
% 0.03/0.39 ![X0,X1,X2,X3,X4]: (~c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Message_Omsg_ONonce(v_NBa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|X4=v_NA)),
% 0.03/0.39 inference(forward_subsumption_resolution,[status(thm)],[f47,f19])).
% 0.03/0.39 fof(f50,plain,(
% 0.03/0.39 ![X0,X1,X2,X3,X4]: (~c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|X4=v_NA)),
% 0.03/0.39 inference(forward_subsumption_resolution,[status(thm)],[f48,f42])).
% 0.03/0.39 fof(f51,plain,(
% 0.03/0.39 v_NAa=v_NA),
% 0.03/0.39 inference(resolution,[status(thm)],[f50,f46])).
% 0.03/0.39 fof(f52,plain,(
% 0.03/0.39 $false),
% 0.03/0.39 inference(forward_subsumption_resolution,[status(thm)],[f51,f44])).
% 0.03/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.43 % Elapsed time: 0.053540 seconds
% 0.03/0.43 % CPU time: 0.152468 seconds
% 0.03/0.43 % Total memory used: 81.814 MB
% 0.03/0.43 % Net memory used: 81.440 MB
%------------------------------------------------------------------------------