%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV758-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 02:53:07 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV758-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n006.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 09:23:48 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.15/5.43 % Drodi V4.1.1
% 0.15/5.80 % Refutation found
% 0.15/5.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.80 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.80 fof(f584,axiom,(
% 0.15/5.80 (![V_K,V_evs,V_NA,V_B,V_A]: (( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))| hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ))),
% 0.15/5.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.80 fof(f589,axiom,(
% 0.15/5.80 (![V_B,V_A,V_K,V_NB,V_evs,V_NA,V_X]: (( hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ))),
% 0.15/5.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.80 fof(f601,axiom,(
% 0.15/5.80 (![V_A,V_NA,V_B,V_K,V_X,V_evs]: (( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ))),
% 0.15/5.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.80 fof(f629,axiom,(
% 0.15/5.80 (![V_X,V_B,V_K,V_A,V_evs,V_NA]: (( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ))),
% 0.15/5.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.80 fof(f657,negated_conjecture,(
% 0.15/5.80 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
% 0.15/5.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.80 fof(f658,negated_conjecture,(
% 0.15/5.80 hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
% 0.15/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.81 fof(f659,negated_conjecture,(
% 0.15/5.81 (![V_NB]: (~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_NB,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) ))),
% 0.15/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.81 fof(f660,negated_conjecture,(
% 0.15/5.81 ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
% 0.15/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.81 fof(f661,negated_conjecture,(
% 0.15/5.81 ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)) ),
% 0.15/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.81 fof(f662,negated_conjecture,(
% 0.15/5.81 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
% 0.15/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.81 fof(f663,negated_conjecture,(
% 0.15/5.81 ~ hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) ),
% 0.15/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.81 fof(f1510,plain,(
% 0.15/5.81 ![X0,X1,X2,X3,X4]: (~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X0,X2,X1),hAPP(c_Message_Omsg_OKey,X0)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))|hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f584])).
% 0.15/5.81 fof(f1518,plain,(
% 0.15/5.81 ![V_evs]: ((![V_K]: ((![V_B,V_A]: ((![V_NB]: (hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))))|(![V_NA,V_X]: ~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))))|~hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 0.15/5.81 inference(miniscoping,[status(thm)],[f589])).
% 0.15/5.81 fof(f1519,plain,(
% 0.15/5.81 ![X0,X1,X2,X3,X4,X5,X6]: (hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f1518])).
% 0.15/5.81 fof(f1541,plain,(
% 0.15/5.81 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f601])).
% 0.15/5.81 fof(f1583,plain,(
% 0.15/5.81 ![V_X,V_B,V_K,V_A,V_evs]: (((V_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))|~hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))|hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)))|(![V_NA]: ~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))))),
% 0.15/5.81 inference(miniscoping,[status(thm)],[f629])).
% 0.15/5.81 fof(f1584,plain,(
% 0.15/5.81 ![X0,X1,X2,X3,X4,X5]: (X0=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f1583])).
% 0.15/5.81 fof(f1619,plain,(
% 0.15/5.81 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f657])).
% 0.15/5.81 fof(f1620,plain,(
% 0.15/5.81 hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f658])).
% 0.15/5.81 fof(f1621,plain,(
% 0.15/5.81 ![X0]: (~hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f659])).
% 0.15/5.81 fof(f1622,plain,(
% 0.15/5.81 ~hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f660])).
% 0.15/5.81 fof(f1623,plain,(
% 0.15/5.81 ~hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f661])).
% 0.15/5.81 fof(f1624,plain,(
% 0.15/5.81 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f662])).
% 0.15/5.81 fof(f1625,plain,(
% 0.15/5.81 ~hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 0.15/5.81 inference(cnf_transformation,[status(thm)],[f663])).
% 0.15/5.81 fof(f1688,plain,(
% 0.15/5.81 v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))|~hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.15/5.81 inference(resolution,[status(thm)],[f1584,f1620])).
% 0.15/5.81 fof(f1689,plain,(
% 0.15/5.81 v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.15/5.81 inference(forward_subsumption_resolution,[status(thm)],[f1688,f1624])).
% 0.15/5.81 fof(f1690,plain,(
% 0.15/5.81 v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))),
% 0.15/5.81 inference(forward_subsumption_resolution,[status(thm)],[f1689,f1622])).
% 0.15/5.81 fof(f1694,plain,(
% 0.15/5.81 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.15/5.81 inference(resolution,[status(thm)],[f1541,f1620])).
% 0.15/5.81 fof(f1695,plain,(
% 0.15/5.81 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.15/5.81 inference(forward_subsumption_resolution,[status(thm)],[f1694,f1624])).
% 0.15/5.81 fof(f1696,plain,(
% 0.15/5.81 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 0.15/5.81 inference(forward_subsumption_resolution,[status(thm)],[f1695,f1622])).
% 0.15/5.81 fof(f2456,plain,(
% 0.15/5.81 ![X0,X1]: (~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(v_K,X1,X0),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)))),
% 0.15/5.81 inference(paramodulation,[status(thm)],[f1690,f1510])).
% 0.15/5.81 fof(f2457,plain,(
% 0.15/5.81 ![X0,X1]: (~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(v_K,X1,X0),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)))),
% 0.15/5.81 inference(forward_subsumption_resolution,[status(thm)],[f2456,f1623])).
% 0.15/5.81 fof(f2784,plain,(
% 0.15/5.81 ![X0,X1]: (~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(v_K,X1,X0),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)))),
% 0.15/5.85 inference(forward_subsumption_resolution,[status(thm)],[f2457,f1622])).
% 0.15/5.85 fof(f2785,plain,(
% 0.15/5.85 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(v_K,v_NA,v_evs),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 0.15/5.85 inference(resolution,[status(thm)],[f2784,f1696])).
% 0.15/5.85 fof(f2794,plain,(
% 0.15/5.85 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 0.15/5.85 inference(forward_subsumption_resolution,[status(thm)],[f2785,f1621])).
% 0.15/5.85 fof(f5595,plain,(
% 0.15/5.85 ![X0]: (hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 0.15/5.85 inference(resolution,[status(thm)],[f1519,f1696])).
% 0.15/5.85 fof(f5608,plain,(
% 0.15/5.85 ![X0]: (hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)))),
% 0.15/5.85 inference(forward_subsumption_resolution,[status(thm)],[f5595,f1624])).
% 0.15/5.85 fof(f5675,plain,(
% 0.15/5.85 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 0.15/5.85 inference(forward_subsumption_resolution,[status(thm)],[f2794,f1624])).
% 0.15/5.85 fof(f5851,plain,(
% 0.15/5.85 ![X0]: (hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)))),
% 0.15/5.85 inference(forward_subsumption_resolution,[status(thm)],[f5608,f5675])).
% 0.15/5.85 fof(f5852,plain,(
% 0.15/5.85 hBOOL(c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 0.15/5.85 inference(resolution,[status(thm)],[f5851,f1619])).
% 0.15/5.85 fof(f5861,plain,(
% 0.15/5.85 $false),
% 0.15/5.85 inference(forward_subsumption_resolution,[status(thm)],[f5852,f1625])).
% 0.15/5.85 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.85 % Elapsed time: 0.458205 seconds
% 0.15/5.85 % CPU time: 3.122866 seconds
% 0.15/5.85 % Total memory used: 209.282 MB
% 0.15/5.85 % Net memory used: 207.277 MB
%------------------------------------------------------------------------------