%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV296-2 : 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 : n007.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 02:50:27 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV296-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:36:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (![V_A,V_B,V_X,V_evs]: (( ~ c_in(c_Event_Oevent_OSays(V_A,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) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,axiom,(
% 0.13/0.42 (![V_c,V_evs]: (( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,axiom,(
% 0.13/0.42 (![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) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,axiom,(
% 0.13/0.42 (![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) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,axiom,(
% 0.13/0.42 (![V_c,V_H]: (( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f6,axiom,(
% 0.13/0.42 (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f7,axiom,(
% 0.13/0.42 (![V_evs,V_B,V_X]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,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(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f8,axiom,(
% 0.13/0.42 (![V_evs,V_A,V_NA_H,V_NA,V_A_H,V_B]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OAgent(V_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))),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) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f9,axiom,(
% 0.13/0.42 (![V_evs,V_A,V_NA,V_C,V_B]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))),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)| V_B = V_C ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f10,axiom,(
% 0.13/0.42 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)| c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f11,negated_conjecture,(
% 0.13/0.42 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f12,negated_conjecture,(
% 0.13/0.42 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f13,negated_conjecture,(
% 0.13/0.42 ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)| v_A = v_Ba| v_NA = c_Message_Omsg_ONonce(v_NAa) ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f14,negated_conjecture,(
% 0.13/0.42 ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)| v_NA = c_Message_Omsg_ONonce(v_NB)| v_NA = c_Message_Omsg_ONonce(v_NAa) ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f15,negated_conjecture,(
% 0.13/0.42 ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f16,negated_conjecture,(
% 0.13/0.42 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f17,negated_conjecture,(
% 0.13/0.42 ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f18,negated_conjecture,(
% 0.13/0.42 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f19,negated_conjecture,(
% 0.13/0.42 ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)| v_K = v_KAB ) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f20,negated_conjecture,(
% 0.13/0.43 (![V_BK]: (( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(V_BK,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)| v_K = v_KAB ) ))),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f21,negated_conjecture,(
% 0.13/0.43 (![V_BO,V_U]: (( V_BO != c_Message_Omsg_ONonce(v_NB)| v_K != v_KAB| v_A != v_Aa| v_NA != c_Message_Omsg_ONonce(v_NAa)| v_A = v_Ba| V_U != c_Message_Omsg_ONonce(v_NB)| v_B != v_Ba ) ))),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f22,negated_conjecture,(
% 0.13/0.43 (![V_BP,V_U]: (( V_BP != c_Message_Omsg_ONonce(v_NB)| v_K != v_KAB| v_A != v_Aa| v_NA != c_Message_Omsg_ONonce(v_NAa)| v_NA = c_Message_Omsg_ONonce(v_NB)| V_U != c_Message_Omsg_ONonce(v_NB)| v_B != v_Ba ) ))),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f23,negated_conjecture,(
% 0.13/0.43 ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)| v_A = v_Ba| v_A = v_Aa ) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f24,negated_conjecture,(
% 0.13/0.43 ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)| v_NA = c_Message_Omsg_ONonce(v_NB)| v_A = v_Aa ) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f25,plain,(
% 0.13/0.43 ![V_X,V_evs]: ((![V_A,V_B]: ~c_in(c_Event_Oevent_OSays(V_A,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))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.43 fof(f26,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (~c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.43 fof(f27,plain,(
% 0.13/0.43 ![X0,X1]: (~c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)|c_in(X0,c_Event_Oused(X1),tc_Message_Omsg))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.43 fof(f28,plain,(
% 0.13/0.43 ![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))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.43 fof(f29,plain,(
% 0.13/0.43 ![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))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.43 fof(f30,plain,(
% 0.13/0.43 ![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))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.43 fof(f31,plain,(
% 0.13/0.43 ![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))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.43 fof(f32,plain,(
% 0.13/0.43 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.43 fof(f33,plain,(
% 0.13/0.43 ![V_X,V_H]: ((![V_K]: ~c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.43 fof(f34,plain,(
% 0.13/0.43 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.43 fof(f35,plain,(
% 0.13/0.43 ![X0,X1,X2]: (~c_in(X0,c_OtwayRees_Ootway,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(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.43 fof(f36,plain,(
% 0.13/0.43 ![V_A]: ((![V_evs,V_NA]: ((~c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|(![V_NA_H,V_A_H]: ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OAgent(V_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|(![V_B]: ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))),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))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.43 fof(f37,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OAgent(X1))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.43 fof(f38,plain,(
% 0.13/0.43 ![V_C,V_B]: ((![V_A]: ((![V_evs,V_NA]: ((~c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))),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)))|V_B=V_C)),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.43 fof(f39,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent)|X4=X3)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.43 fof(f40,plain,(
% 0.13/0.43 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg))|c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f10])).
% 0.13/0.43 fof(f41,plain,(
% 0.13/0.43 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)|c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.43 fof(f42,plain,(
% 0.13/0.43 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.43 fof(f43,plain,(
% 0.13/0.43 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.43 fof(f44,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|v_A=v_Ba|v_NA=c_Message_Omsg_ONonce(v_NAa)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.43 fof(f45,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|v_NA=c_Message_Omsg_ONonce(v_NB)|v_NA=c_Message_Omsg_ONonce(v_NAa)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.43 fof(f46,plain,(
% 0.13/0.43 ~c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.43 fof(f47,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.43 fof(f48,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.43 fof(f49,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.43 fof(f50,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|v_K=v_KAB),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.43 fof(f51,plain,(
% 0.13/0.43 (![V_BK]: ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(V_BK,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))|v_K=v_KAB),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f20])).
% 0.13/0.43 fof(f52,plain,(
% 0.13/0.43 ![X0]: (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|v_K=v_KAB)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.43 fof(f53,plain,(
% 0.13/0.43 ((((((![V_BO]: ~V_BO=c_Message_Omsg_ONonce(v_NB))|~v_K=v_KAB)|~v_A=v_Aa)|~v_NA=c_Message_Omsg_ONonce(v_NAa))|v_A=v_Ba)|(![V_U]: ~V_U=c_Message_Omsg_ONonce(v_NB)))|~v_B=v_Ba),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f21])).
% 0.13/0.43 fof(f54,plain,(
% 0.13/0.43 ![X0,X1]: (~X0=c_Message_Omsg_ONonce(v_NB)|~v_K=v_KAB|~v_A=v_Aa|~v_NA=c_Message_Omsg_ONonce(v_NAa)|v_A=v_Ba|~X1=c_Message_Omsg_ONonce(v_NB)|~v_B=v_Ba)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f53])).
% 0.13/0.43 fof(f55,plain,(
% 0.13/0.43 ((((((![V_BP]: ~V_BP=c_Message_Omsg_ONonce(v_NB))|~v_K=v_KAB)|~v_A=v_Aa)|~v_NA=c_Message_Omsg_ONonce(v_NAa))|v_NA=c_Message_Omsg_ONonce(v_NB))|(![V_U]: ~V_U=c_Message_Omsg_ONonce(v_NB)))|~v_B=v_Ba),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.43 fof(f56,plain,(
% 0.13/0.43 ![X0,X1]: (~X0=c_Message_Omsg_ONonce(v_NB)|~v_K=v_KAB|~v_A=v_Aa|~v_NA=c_Message_Omsg_ONonce(v_NAa)|v_NA=c_Message_Omsg_ONonce(v_NB)|~X1=c_Message_Omsg_ONonce(v_NB)|~v_B=v_Ba)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.43 fof(f57,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|v_A=v_Ba|v_A=v_Aa),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.43 fof(f58,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|v_NA=c_Message_Omsg_ONonce(v_NB)|v_A=v_Aa),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.43 fof(f59,definition,(
% 0.13/0.43 sQ0_spl <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f60,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ0_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f59])).
% 0.13/0.43 fof(f62,definition,(
% 0.13/0.43 sQ1_spl <=> (v_A=v_Ba)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f63,plain,(
% 0.13/0.43 v_A=v_Ba|~sQ1_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f62])).
% 0.13/0.43 fof(f65,definition,(
% 0.13/0.43 sQ2_spl <=> (v_NA=c_Message_Omsg_ONonce(v_NAa))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f66,plain,(
% 0.13/0.43 v_NA=c_Message_Omsg_ONonce(v_NAa)|~sQ2_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f65])).
% 0.13/0.43 fof(f68,plain,(
% 0.13/0.43 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f44,f59,f62,f65])).
% 0.13/0.43 fof(f69,definition,(
% 0.13/0.43 sQ3_spl <=> (v_NA=c_Message_Omsg_ONonce(v_NB))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f70,plain,(
% 0.13/0.43 v_NA=c_Message_Omsg_ONonce(v_NB)|~sQ3_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.43 fof(f72,plain,(
% 0.13/0.43 sQ0_spl|sQ3_spl|sQ2_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f45,f59,f69,f65])).
% 0.13/0.43 fof(f73,definition,(
% 0.13/0.43 sQ4_spl <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f74,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ4_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.43 fof(f76,definition,(
% 0.13/0.43 sQ5_spl <=> (c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f78,plain,(
% 0.13/0.43 ~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|sQ5_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f76])).
% 0.13/0.43 fof(f79,plain,(
% 0.13/0.43 sQ4_spl|~sQ0_spl|~sQ5_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f48,f73,f59,f76])).
% 0.13/0.43 fof(f80,definition,(
% 0.13/0.43 sQ6_spl <=> (v_K=v_KAB)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f81,plain,(
% 0.13/0.43 v_K=v_KAB|~sQ6_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f80])).
% 0.13/0.43 fof(f83,plain,(
% 0.13/0.43 sQ0_spl|sQ6_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f50,f59,f80])).
% 0.13/0.43 fof(f84,definition,(
% 0.13/0.43 ![X0]: (sQ7_spl <=> (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f85,plain,(
% 0.13/0.43 ![X0]: (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ7_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f84])).
% 0.13/0.43 fof(f87,plain,(
% 0.13/0.43 sQ7_spl|sQ6_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f52,f84,f80])).
% 0.13/0.43 fof(f88,definition,(
% 0.13/0.43 ![X0]: (sQ8_spl <=> (~X0=c_Message_Omsg_ONonce(v_NB)))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f89,plain,(
% 0.13/0.43 ![X0]: (~X0=c_Message_Omsg_ONonce(v_NB)|~sQ8_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f88])).
% 0.13/0.43 fof(f91,definition,(
% 0.13/0.43 sQ9_spl <=> (v_A=v_Aa)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f92,plain,(
% 0.13/0.43 v_A=v_Aa|~sQ9_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.43 fof(f94,definition,(
% 0.13/0.43 sQ10_spl <=> (v_B=v_Ba)),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f97,plain,(
% 0.13/0.43 sQ8_spl|~sQ6_spl|~sQ9_spl|~sQ2_spl|sQ1_spl|~sQ10_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f54,f88,f80,f91,f65,f62,f94])).
% 0.13/0.43 fof(f98,plain,(
% 0.13/0.43 sQ8_spl|~sQ6_spl|~sQ9_spl|~sQ2_spl|sQ3_spl|~sQ10_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f56,f88,f80,f91,f65,f69,f94])).
% 0.13/0.43 fof(f99,plain,(
% 0.13/0.43 sQ0_spl|sQ1_spl|sQ9_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f57,f59,f62,f91])).
% 0.13/0.43 fof(f100,plain,(
% 0.13/0.43 sQ0_spl|sQ3_spl|sQ9_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f58,f59,f69,f91])).
% 0.13/0.43 fof(f101,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ3_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f70,f47])).
% 0.13/0.43 fof(f102,plain,(
% 0.13/0.43 $false|~sQ7_spl|~sQ4_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f74,f85])).
% 0.13/0.43 fof(f103,plain,(
% 0.13/0.43 ~sQ7_spl|~sQ4_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f102])).
% 0.13/0.43 fof(f104,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ1_spl|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f63,f101])).
% 0.13/0.43 fof(f105,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ1_spl|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f63,f104])).
% 0.13/0.43 fof(f106,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ1_spl|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f63,f105])).
% 0.13/0.43 fof(f107,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ1_spl|~sQ3_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f63,f106])).
% 0.13/0.43 fof(f112,plain,(
% 0.13/0.43 $false|sQ5_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f78,f49])).
% 0.13/0.43 fof(f113,plain,(
% 0.13/0.43 sQ5_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f112])).
% 0.13/0.43 fof(f119,plain,(
% 0.13/0.43 ~c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)|~sQ6_spl),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f81,f46])).
% 0.13/0.43 fof(f120,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.13/0.43 inference(resolution,[status(thm)],[f49,f26])).
% 0.13/0.43 fof(f122,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.13/0.43 inference(resolution,[status(thm)],[f120,f29])).
% 0.13/0.43 fof(f126,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.13/0.43 inference(resolution,[status(thm)],[f122,f29])).
% 0.13/0.43 fof(f133,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.13/0.43 inference(resolution,[status(thm)],[f126,f29])).
% 0.13/0.43 fof(f138,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.13/0.43 inference(resolution,[status(thm)],[f133,f32])).
% 0.13/0.43 fof(f140,plain,(
% 0.13/0.43 ![X0]: (~c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent)|v_B=X0)),
% 0.13/0.43 inference(resolution,[status(thm)],[f138,f39])).
% 0.13/0.43 fof(f143,definition,(
% 0.13/0.43 sQ11_spl <=> (c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f145,plain,(
% 0.13/0.43 ~c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|sQ11_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f143])).
% 0.13/0.43 fof(f146,definition,(
% 0.13/0.43 ![X0]: (sQ12_spl <=> (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|v_B=X0))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f147,plain,(
% 0.13/0.43 ![X0]: (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|v_B=X0|~sQ12_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f146])).
% 0.13/0.43 fof(f149,definition,(
% 0.13/0.43 sQ13_spl <=> (c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f150,plain,(
% 0.13/0.43 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~sQ13_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.43 fof(f152,plain,(
% 0.13/0.43 ~sQ11_spl|sQ12_spl|sQ13_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f140,f143,f146,f149])).
% 0.13/0.43 fof(f153,plain,(
% 0.13/0.43 $false|~sQ13_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f150,f42])).
% 0.13/0.43 fof(f154,plain,(
% 0.13/0.43 ~sQ13_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f153])).
% 0.13/0.43 fof(f155,plain,(
% 0.13/0.43 $false|sQ11_spl),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f145,f43])).
% 0.13/0.43 fof(f156,plain,(
% 0.13/0.43 sQ11_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f155])).
% 0.13/0.43 fof(f164,plain,(
% 0.13/0.43 ~c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ1_spl|~sQ3_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f35,f107])).
% 0.13/0.43 fof(f165,definition,(
% 0.13/0.43 sQ14_spl <=> (c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f166,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ14_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f165])).
% 0.13/0.43 fof(f168,plain,(
% 0.13/0.43 ~sQ11_spl|sQ14_spl|~sQ1_spl|~sQ3_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f164,f143,f165,f62,f69])).
% 0.13/0.43 fof(f169,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ14_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f166,f26])).
% 0.13/0.43 fof(f171,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ14_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f169,f29])).
% 0.13/0.43 fof(f176,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ14_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f171,f29])).
% 0.13/0.43 fof(f181,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ14_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f176,f29])).
% 0.13/0.43 fof(f187,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ14_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f181,f29])).
% 0.13/0.43 fof(f192,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ14_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f187,f32])).
% 0.13/0.43 fof(f240,plain,(
% 0.13/0.43 $false|~sQ8_spl),
% 0.13/0.43 inference(destructive_equality_resolution,[status(thm)],[f89])).
% 0.13/0.43 fof(f241,plain,(
% 0.13/0.43 ~sQ8_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f240])).
% 0.13/0.43 fof(f452,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f66,f47])).
% 0.13/0.43 fof(f453,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ9_spl|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f92,f452])).
% 0.13/0.43 fof(f454,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ9_spl|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f92,f453])).
% 0.13/0.43 fof(f455,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ9_spl|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f66,f454])).
% 0.13/0.43 fof(f456,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ9_spl|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f92,f455])).
% 0.13/0.43 fof(f457,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ9_spl|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f66,f456])).
% 0.13/0.43 fof(f458,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ9_spl|~sQ2_spl),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f92,f457])).
% 0.13/0.43 fof(f472,plain,(
% 0.13/0.43 ~c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ9_spl|~sQ2_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f458,f35])).
% 0.13/0.43 fof(f473,definition,(
% 0.13/0.43 sQ19_spl <=> (c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f474,plain,(
% 0.13/0.43 c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ19_spl),
% 0.13/0.43 inference(component_clause,[status(thm)],[f473])).
% 0.13/0.43 fof(f476,plain,(
% 0.13/0.43 ~sQ11_spl|sQ19_spl|~sQ9_spl|~sQ2_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f472,f143,f473,f91,f65])).
% 0.13/0.43 fof(f592,definition,(
% 0.13/0.43 ![X0]: (sQ22_spl <=> (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)))),
% 0.13/0.43 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.43 fof(f593,plain,(
% 0.13/0.43 ![X0]: (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ22_spl)),
% 0.13/0.43 inference(component_clause,[status(thm)],[f592])).
% 0.13/0.43 fof(f596,plain,(
% 0.13/0.43 $false|~sQ22_spl),
% 0.13/0.43 inference(backward_subsumption_resolution,[status(thm)],[f138,f593])).
% 0.13/0.43 fof(f597,plain,(
% 0.13/0.43 ~sQ22_spl),
% 0.13/0.43 inference(contradiction_clause,[status(thm)],[f596])).
% 0.13/0.43 fof(f622,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ19_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f474,f26])).
% 0.13/0.43 fof(f624,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ19_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f622,f29])).
% 0.13/0.43 fof(f628,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ19_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f624,f29])).
% 0.13/0.43 fof(f631,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ19_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f628,f29])).
% 0.13/0.43 fof(f637,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ19_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f631,f31])).
% 0.13/0.43 fof(f641,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ19_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f637,f32])).
% 0.13/0.43 fof(f642,plain,(
% 0.13/0.43 v_B=v_Ba|~sQ19_spl|~sQ12_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f641,f147])).
% 0.13/0.43 fof(f646,plain,(
% 0.13/0.43 sQ10_spl|~sQ19_spl|~sQ12_spl),
% 0.13/0.43 inference(split_clause,[status(thm)],[f642,f94,f473,f146])).
% 0.13/0.43 fof(f651,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~sQ0_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f60,f34])).
% 0.13/0.43 fof(f653,plain,(
% 0.13/0.43 c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg)|~sQ0_spl),
% 0.13/0.43 inference(resolution,[status(thm)],[f651,f27])).
% 0.13/0.43 fof(f654,plain,(
% 0.13/0.43 ~c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 0.13/0.44 inference(resolution,[status(thm)],[f47,f35])).
% 0.13/0.44 fof(f655,definition,(
% 0.13/0.44 sQ24_spl <=> (c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f658,plain,(
% 0.13/0.44 ~sQ11_spl|sQ24_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f654,f143,f655])).
% 0.13/0.44 fof(f663,plain,(
% 0.13/0.44 c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)|~sQ0_spl),
% 0.13/0.44 inference(resolution,[status(thm)],[f653,f41])).
% 0.13/0.44 fof(f664,plain,(
% 0.13/0.44 $false|~sQ6_spl|~sQ0_spl),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f663,f119])).
% 0.13/0.44 fof(f665,plain,(
% 0.13/0.44 ~sQ6_spl|~sQ0_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f664])).
% 0.13/0.44 fof(f730,plain,(
% 0.13/0.44 ![X0]: (~c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~sQ14_spl)),
% 0.13/0.44 inference(resolution,[status(thm)],[f192,f37])).
% 0.13/0.44 fof(f733,plain,(
% 0.13/0.44 ~sQ11_spl|sQ22_spl|sQ13_spl|~sQ14_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f730,f143,f592,f149,f165])).
% 0.13/0.44 fof(f734,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(sat_refutation,[status(thm)],[f68,f72,f79,f83,f87,f97,f98,f99,f100,f103,f113,f152,f154,f156,f168,f241,f476,f597,f646,f658,f665,f733])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.080823 seconds
% 0.13/0.45 % CPU time: 0.370543 seconds
% 0.13/0.45 % Total memory used: 90.719 MB
% 0.13/0.45 % Net memory used: 90.167 MB
%------------------------------------------------------------------------------