%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV348-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:50:36 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV348-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:48:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f2,axiom,(
% 0.09/0.38 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,axiom,(
% 0.09/0.38 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f4,axiom,(
% 0.09/0.38 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f5,axiom,(
% 0.09/0.38 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f6,axiom,(
% 0.09/0.38 (![V_A,V_evs]: (( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f7,axiom,(
% 0.09/0.38 (![V_evs,V_B,V_X]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f8,axiom,(
% 0.09/0.38 (![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) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f9,axiom,(
% 0.09/0.38 (![V_A,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f10,axiom,(
% 0.09/0.38 (![V_evs,V_A,V_B,V_K,V_na,V_nb]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(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(V_na,V_nb)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_A,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(V_na,V_nb)))),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_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f11,axiom,(
% 0.09/0.38 (![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 ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f12,axiom,(
% 0.09/0.38 (![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_B_H = V_B ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f13,axiom,(
% 0.09/0.38 (![V_evs,V_A,V_B,V_K,V_na,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_K),c_Message_Omsg_OMPair(V_na,V_nb)))),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_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_B,c_Event_Obad,tc_Message_Oagent)| c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_na,c_Message_Omsg_OMPair(V_nb,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f14,negated_conjecture,(
% 0.09/0.38 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f15,negated_conjecture,(
% 0.09/0.38 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f16,negated_conjecture,(
% 0.09/0.38 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) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f17,negated_conjecture,(
% 0.09/0.38 (![V_U]: (~ 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),V_U))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f18,negated_conjecture,(
% 0.09/0.38 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) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f19,negated_conjecture,(
% 0.09/0.38 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f20,negated_conjecture,(
% 0.09/0.38 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f23,plain,(
% 0.09/0.38 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f24,plain,(
% 0.09/0.38 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.38 fof(f25,plain,(
% 0.09/0.38 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.38 fof(f26,plain,(
% 0.09/0.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.38 fof(f27,plain,(
% 0.09/0.38 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.09/0.38 fof(f28,plain,(
% 0.09/0.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.38 fof(f29,plain,(
% 0.09/0.38 ![X0,X1]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|~c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.38 fof(f30,plain,(
% 0.09/0.38 ![V_evs,V_X]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_B]: ~c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.38 fof(f31,plain,(
% 0.09/0.38 ![X0,X1,X2]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.38 fof(f32,plain,(
% 0.09/0.38 ![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))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.38 fof(f33,plain,(
% 0.09/0.38 ![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))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.38 fof(f34,plain,(
% 0.09/0.38 ![V_X,V_H]: ((![V_A]: (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)))|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f9])).
% 0.09/0.38 fof(f35,plain,(
% 0.09/0.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oanalz(X2),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.38 fof(f36,plain,(
% 0.09/0.38 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(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,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent)|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,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.38 fof(f37,plain,(
% 0.09/0.38 ![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)),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f11])).
% 0.09/0.38 fof(f38,plain,(
% 0.09/0.38 ![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)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.38 fof(f39,plain,(
% 0.09/0.38 ![V_B_H,V_B]: ((![V_evs,V_nb]: (((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_S_H,V_X_H,V_A_H,V_NA_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_A,V_NA]: ~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_B_H=V_B)),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f12])).
% 0.09/0.38 fof(f40,plain,(
% 0.09/0.38 ![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)|X3=X10)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.38 fof(f41,plain,(
% 0.09/0.38 ![V_evs,V_K,V_na,V_nb]: ((![V_A]: ((![V_B]: (((~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_K),c_Message_Omsg_OMPair(V_na,V_nb)))),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_evs,tc_Event_Oevent),tc_Event_Oevent))|~c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|c_in(V_B,c_Event_Obad,tc_Message_Oagent)))|c_in(V_A,c_Event_Obad,tc_Message_Oagent)))|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_na,c_Message_Omsg_OMPair(V_nb,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f13])).
% 0.09/0.38 fof(f42,plain,(
% 0.09/0.38 ![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(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X2,c_Event_Obad,tc_Message_Oagent)|c_in(X1,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X3)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.38 fof(f43,plain,(
% 0.09/0.38 ~c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.38 fof(f44,plain,(
% 0.09/0.38 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.38 fof(f45,plain,(
% 0.09/0.38 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)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.38 fof(f46,plain,(
% 0.09/0.38 ![X0]: (~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),X0))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.38 fof(f47,plain,(
% 0.09/0.38 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)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.38 fof(f48,plain,(
% 0.09/0.38 ~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.38 fof(f49,plain,(
% 0.09/0.38 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.38 fof(f50,plain,(
% 0.09/0.38 ~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)),
% 0.09/0.38 inference(resolution,[status(thm)],[f31,f45])).
% 0.09/0.38 fof(f51,definition,(
% 0.09/0.38 sQ0_spl <=> (c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f53,plain,(
% 0.09/0.38 ~c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|sQ0_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f51])).
% 0.09/0.38 fof(f54,definition,(
% 0.09/0.38 sQ1_spl <=> (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))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f55,plain,(
% 0.09/0.38 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)|~sQ1_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f54])).
% 0.09/0.38 fof(f57,plain,(
% 0.09/0.38 ~sQ0_spl|sQ1_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f50,f51,f54])).
% 0.09/0.38 fof(f58,plain,(
% 0.09/0.38 $false|sQ0_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f53,f44])).
% 0.09/0.38 fof(f59,plain,(
% 0.09/0.38 sQ0_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f58])).
% 0.09/0.38 fof(f60,plain,(
% 0.09/0.38 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)|~sQ1_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f55,f28])).
% 0.09/0.38 fof(f62,plain,(
% 0.09/0.38 ~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)|~sQ1_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f60,f35])).
% 0.09/0.38 fof(f63,definition,(
% 0.09/0.38 sQ2_spl <=> (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))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f65,plain,(
% 0.09/0.38 ~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)|sQ2_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f63])).
% 0.09/0.38 fof(f66,definition,(
% 0.09/0.38 sQ3_spl <=> (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))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f67,plain,(
% 0.09/0.38 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)|~sQ3_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f66])).
% 0.09/0.38 fof(f69,plain,(
% 0.09/0.38 ~sQ2_spl|sQ3_spl|~sQ1_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f62,f63,f66,f54])).
% 0.09/0.38 fof(f70,plain,(
% 0.09/0.38 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)|~sQ1_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f23,f60])).
% 0.09/0.38 fof(f74,plain,(
% 0.09/0.38 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)|~sQ1_spl),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f24,f70])).
% 0.09/0.38 fof(f92,plain,(
% 0.09/0.38 ![X0,X1,X2,X3,X4]: (~c_in(v_evs4,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_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)|X4=v_NA)),
% 0.09/0.38 inference(resolution,[status(thm)],[f38,f47])).
% 0.09/0.38 fof(f93,definition,(
% 0.09/0.38 ![X0,X1,X2,X3,X4]: (sQ4_spl <=> (~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_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|X4=v_NA))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f94,plain,(
% 0.09/0.38 ![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_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|X4=v_NA|~sQ4_spl)),
% 0.09/0.38 inference(component_clause,[status(thm)],[f93])).
% 0.09/0.38 fof(f96,definition,(
% 0.09/0.38 sQ5_spl <=> (c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f97,plain,(
% 0.09/0.38 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ5_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f96])).
% 0.09/0.38 fof(f99,plain,(
% 0.09/0.38 ~sQ0_spl|sQ4_spl|sQ5_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f92,f51,f93,f96])).
% 0.09/0.38 fof(f100,plain,(
% 0.09/0.38 ![X0,X1,X2,X3,X4]: (~c_in(v_evs4,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_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)|X2=v_B)),
% 0.09/0.38 inference(resolution,[status(thm)],[f40,f47])).
% 0.09/0.38 fof(f101,definition,(
% 0.09/0.38 ![X0,X1,X2,X3,X4]: (sQ6_spl <=> (~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_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|X2=v_B))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f102,plain,(
% 0.09/0.38 ![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_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|X2=v_B|~sQ6_spl)),
% 0.09/0.38 inference(component_clause,[status(thm)],[f101])).
% 0.09/0.38 fof(f104,plain,(
% 0.09/0.38 ~sQ0_spl|sQ6_spl|sQ5_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f100,f51,f101,f96])).
% 0.09/0.38 fof(f105,plain,(
% 0.09/0.38 $false|~sQ5_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f97,f48])).
% 0.09/0.38 fof(f106,plain,(
% 0.09/0.38 ~sQ5_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f105])).
% 0.09/0.38 fof(f120,plain,(
% 0.09/0.38 ~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_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)|~sQ1_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f74,f36])).
% 0.09/0.38 fof(f122,definition,(
% 0.09/0.38 sQ7_spl <=> (c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f123,plain,(
% 0.09/0.38 c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)|~sQ7_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f122])).
% 0.09/0.38 fof(f125,definition,(
% 0.09/0.38 sQ8_spl <=> (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))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f126,plain,(
% 0.09/0.38 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)|~sQ8_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f125])).
% 0.09/0.38 fof(f128,plain,(
% 0.09/0.38 ~sQ0_spl|sQ7_spl|sQ8_spl|~sQ1_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f120,f51,f122,f125,f54])).
% 0.09/0.38 fof(f133,plain,(
% 0.09/0.38 ![X0]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|~sQ7_spl)),
% 0.09/0.38 inference(resolution,[status(thm)],[f123,f29])).
% 0.09/0.38 fof(f134,plain,(
% 0.09/0.38 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)|~sQ7_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f133,f44])).
% 0.09/0.38 fof(f135,plain,(
% 0.09/0.38 $false|sQ2_spl|~sQ7_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f134,f65])).
% 0.09/0.38 fof(f136,plain,(
% 0.09/0.38 sQ2_spl|~sQ7_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f135])).
% 0.09/0.38 fof(f148,plain,(
% 0.09/0.38 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)|~sQ3_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f67,f26])).
% 0.09/0.38 fof(f163,plain,(
% 0.09/0.38 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)|~sQ3_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f148,f26])).
% 0.09/0.38 fof(f166,plain,(
% 0.09/0.38 ~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_Ba,c_Event_Obad,tc_Message_Oagent)|c_in(v_Aa,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)|~sQ8_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f126,f42])).
% 0.09/0.38 fof(f167,plain,(
% 0.09/0.38 ~c_in(v_evs4,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_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|~sQ8_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f126,f33])).
% 0.09/0.38 fof(f168,definition,(
% 0.09/0.38 sQ9_spl <=> (c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f170,plain,(
% 0.09/0.38 ~c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|sQ9_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f168])).
% 0.09/0.38 fof(f171,definition,(
% 0.09/0.38 sQ10_spl <=> (c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f172,plain,(
% 0.09/0.38 c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)|~sQ10_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f171])).
% 0.09/0.38 fof(f174,definition,(
% 0.09/0.38 sQ11_spl <=> (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))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f175,plain,(
% 0.09/0.38 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)|~sQ11_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f174])).
% 0.09/0.38 fof(f177,plain,(
% 0.09/0.38 ~sQ0_spl|~sQ9_spl|sQ10_spl|sQ7_spl|sQ11_spl|~sQ8_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f166,f51,f168,f171,f122,f174,f125])).
% 0.09/0.38 fof(f178,definition,(
% 0.09/0.38 sQ12_spl <=> (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))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f179,plain,(
% 0.09/0.38 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)|~sQ12_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f178])).
% 0.09/0.38 fof(f181,plain,(
% 0.09/0.38 ~sQ0_spl|sQ12_spl|~sQ8_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f167,f51,f178,f125])).
% 0.09/0.38 fof(f184,plain,(
% 0.09/0.38 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ3_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f163,f26])).
% 0.09/0.38 fof(f186,plain,(
% 0.09/0.38 sQ5_spl|~sQ3_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f184,f96,f66])).
% 0.09/0.38 fof(f190,plain,(
% 0.09/0.38 v_Ba=v_B|~sQ12_spl|~sQ6_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f179,f102])).
% 0.09/0.38 fof(f191,plain,(
% 0.09/0.38 v_NAa=v_NA|~sQ12_spl|~sQ4_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f179,f94])).
% 0.09/0.38 fof(f199,plain,(
% 0.09/0.38 ~c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)|~sQ12_spl|~sQ6_spl),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f190,f43])).
% 0.09/0.38 fof(f211,plain,(
% 0.09/0.38 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)|~sQ12_spl|~sQ4_spl|~sQ11_spl),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f191,f175])).
% 0.09/0.38 fof(f220,plain,(
% 0.09/0.38 $false|~sQ12_spl|~sQ4_spl|~sQ11_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f211,f46])).
% 0.09/0.38 fof(f221,plain,(
% 0.09/0.38 ~sQ12_spl|~sQ4_spl|~sQ11_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f220])).
% 0.09/0.38 fof(f222,plain,(
% 0.09/0.38 $false|sQ9_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f170,f49])).
% 0.09/0.38 fof(f223,plain,(
% 0.09/0.38 sQ9_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f222])).
% 0.09/0.38 fof(f225,plain,(
% 0.09/0.38 $false|~sQ12_spl|~sQ6_spl|~sQ10_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f172,f199])).
% 0.09/0.38 fof(f226,plain,(
% 0.09/0.38 ~sQ12_spl|~sQ6_spl|~sQ10_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f225])).
% 0.09/0.38 fof(f227,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(sat_refutation,[status(thm)],[f57,f59,f69,f99,f104,f106,f128,f136,f177,f181,f186,f221,f223,f226])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.048255 seconds
% 0.09/0.42 % CPU time: 0.091168 seconds
% 0.09/0.42 % Total memory used: 16.660 MB
% 0.09/0.42 % Net memory used: 16.581 MB
%------------------------------------------------------------------------------