%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV770-1 : 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 : n013.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 02:53:08 PM UTC 2026
% Result : Unsatisfiable 4.34s 1.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV770-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 09:23:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.43 % Drodi V4.1.1
% 4.34/1.01 % Refutation found
% 4.34/1.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.34/1.01 % SZS output start CNFRefutation for theBenchmark
% 4.34/1.01 fof(f583,axiom,(
% 4.34/1.01 (![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)) ) ))),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f589,axiom,(
% 4.34/1.01 (![V_A,V_B,V_K,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_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(V_A,V_B,V_K,V_evs),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))| ~ 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(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ))),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f590,axiom,(
% 4.34/1.01 (![V_A,V_B,V_K,V_NB,V_evs,V_NA]: (( hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),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_OMPair(c_Message_Omsg_ONonce(V_NB),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),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))| 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)))| hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent)) ) ))),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f658,negated_conjecture,(
% 4.34/1.01 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f659,negated_conjecture,(
% 4.34/1.01 hBOOL(c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f660,negated_conjecture,(
% 4.34/1.01 (![V_NA,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)) ))),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f661,negated_conjecture,(
% 4.34/1.01 ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f662,negated_conjecture,(
% 4.34/1.01 ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)) ),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f663,negated_conjecture,(
% 4.34/1.01 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f664,negated_conjecture,(
% 4.34/1.01 ~ hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) ),
% 4.34/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.34/1.01 fof(f1511,plain,(
% 4.34/1.01 ![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)))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f583])).
% 4.34/1.01 fof(f1521,plain,(
% 4.34/1.01 ![X0,X1,X2,X3]: (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(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X0,X1,X2,X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f589])).
% 4.34/1.01 fof(f1522,plain,(
% 4.34/1.01 ![V_B]: ((![V_evs]: ((![V_K]: ((![V_A]: ((![V_NB]: (hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),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_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))))|(![V_NA]: ~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)))))|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)))))|hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent)))),
% 4.34/1.01 inference(miniscoping,[status(thm)],[f590])).
% 4.34/1.01 fof(f1523,plain,(
% 4.34/1.01 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),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_OMPair(c_Message_Omsg_ONonce(X3),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,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0)))))))),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)))|hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f1522])).
% 4.34/1.01 fof(f1624,plain,(
% 4.34/1.01 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f658])).
% 4.34/1.01 fof(f1625,plain,(
% 4.34/1.01 hBOOL(c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f659])).
% 4.34/1.01 fof(f1626,plain,(
% 4.34/1.01 ![X0,X1]: (~hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f660])).
% 4.34/1.01 fof(f1627,plain,(
% 4.34/1.01 ~hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f661])).
% 4.34/1.01 fof(f1628,plain,(
% 4.34/1.01 ~hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f662])).
% 4.34/1.01 fof(f1629,plain,(
% 4.34/1.01 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f663])).
% 4.34/1.01 fof(f1630,plain,(
% 4.34/1.01 ~hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 4.34/1.01 inference(cnf_transformation,[status(thm)],[f664])).
% 4.34/1.01 fof(f2032,plain,(
% 4.34/1.01 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_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(v_A,v_B,v_K,v_evs),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))|~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))),
% 4.34/1.01 inference(resolution,[status(thm)],[f1521,f1625])).
% 4.34/1.01 fof(f2034,plain,(
% 4.34/1.01 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_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(v_A,v_B,v_K,v_evs),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))|hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))),
% 4.34/1.01 inference(forward_subsumption_resolution,[status(thm)],[f2032,f1629])).
% 4.34/1.01 fof(f2207,plain,(
% 4.34/1.01 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_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(v_A,v_B,v_K,v_evs),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))),
% 4.34/1.01 inference(forward_subsumption_resolution,[status(thm)],[f2034,f1628])).
% 4.34/1.01 fof(f2208,plain,(
% 4.34/1.01 ~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_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(v_A,v_B,v_K,v_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(v_K,v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(v_A,v_B,v_K,v_evs),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))),
% 4.34/1.01 inference(resolution,[status(thm)],[f2207,f1511])).
% 4.34/1.01 fof(f2209,plain,(
% 4.34/1.01 ![X0]: (hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),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_OMPair(c_Message_Omsg_ONonce(X0),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)))|hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)))),
% 4.34/1.01 inference(resolution,[status(thm)],[f2207,f1523])).
% 4.34/1.01 fof(f2213,plain,(
% 4.34/1.01 ~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)))|hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 4.34/1.01 inference(forward_subsumption_resolution,[status(thm)],[f2208,f1626])).
% 4.34/1.01 fof(f2214,plain,(
% 4.34/1.01 ![X0]: (hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),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_OMPair(c_Message_Omsg_ONonce(X0),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_B,c_Event_Obad,tc_Message_Oagent)))),
% 4.34/1.01 inference(forward_subsumption_resolution,[status(thm)],[f2209,f1629])).
% 4.34/1.01 fof(f2218,plain,(
% 4.34/1.01 ~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_B,c_Event_Obad,tc_Message_Oagent))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 4.34/1.01 inference(forward_subsumption_resolution,[status(thm)],[f2213,f1629])).
% 4.34/1.01 fof(f2231,plain,(
% 4.34/1.01 ![X0]: (hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),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_OMPair(c_Message_Omsg_ONonce(X0),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)))),
% 4.34/1.01 inference(forward_subsumption_resolution,[status(thm)],[f2214,f1628])).
% 4.34/1.01 fof(f2232,plain,(
% 4.34/1.03 hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),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))),
% 4.34/1.03 inference(resolution,[status(thm)],[f2231,f1624])).
% 4.34/1.03 fof(f2233,plain,(
% 4.34/1.03 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))),
% 4.34/1.03 inference(forward_subsumption_resolution,[status(thm)],[f2232,f1630])).
% 4.34/1.03 fof(f4300,plain,(
% 4.34/1.03 hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 4.34/1.03 inference(backward_subsumption_resolution,[status(thm)],[f2218,f2233])).
% 4.34/1.03 fof(f4302,plain,(
% 4.34/1.03 hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 4.34/1.03 inference(forward_subsumption_resolution,[status(thm)],[f4300,f1628])).
% 4.34/1.03 fof(f4304,plain,(
% 4.34/1.03 $false),
% 4.34/1.03 inference(forward_subsumption_resolution,[status(thm)],[f4302,f1627])).
% 4.34/1.03 % SZS output end CNFRefutation for theBenchmark.p
% 4.34/1.08 % Elapsed time: 0.687897 seconds
% 4.34/1.08 % CPU time: 4.740168 seconds
% 4.34/1.08 % Total memory used: 229.654 MB
% 4.34/1.08 % Net memory used: 226.713 MB
%------------------------------------------------------------------------------