%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV332-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 02:50:33 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV332-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 08:43:14 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.42 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.43 fof(f1,axiom,(
% 0.12/0.43 (![V_X,V_H]: (( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f2,axiom,(
% 0.12/0.43 (![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) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f3,axiom,(
% 0.12/0.43 (![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) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f4,axiom,(
% 0.12/0.43 (![V_A,V_X,V_evs]: (( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f5,axiom,(
% 0.12/0.43 (![V_evs,V_A,V_B,V_K,V_na,V_nb]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f6,axiom,(
% 0.12/0.43 (![V_evs,V_B,V_A,V_K]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_B,c_Event_Obad,tc_Message_Oagent)| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(V_A,V_B,V_K,V_evs)),c_Message_Omsg_ONonce(v_sko__2jj(V_A,V_B,V_K,V_evs)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f7,axiom,(
% 0.12/0.43 (![V_evs,V_B,V_X]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f8,axiom,(
% 0.12/0.43 (![V_evs,V_A_H,V_B_H,V_K,V_na_H,V_nb_H,V_X_H,V_A,V_B,V_na,V_nb,V_X]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| V_A = V_A_H ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f9,axiom,(
% 0.12/0.43 (![V_evs,V_A_H,V_B_H,V_K,V_na_H,V_nb_H,V_X_H,V_A,V_B,V_na,V_nb,V_X]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| V_B = V_B_H ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f10,negated_conjecture,(
% 0.12/0.43 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f11,negated_conjecture,(
% 0.12/0.43 (![V_U]: (( V_U != v_X| v_B != v_Ba| v_A != v_Aa ) ))),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f12,negated_conjecture,(
% 0.12/0.43 c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f13,negated_conjecture,(
% 0.12/0.43 ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f14,negated_conjecture,(
% 0.12/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f15,negated_conjecture,(
% 0.12/0.43 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
% 0.12/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f16,plain,(
% 0.12/0.43 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.43 fof(f17,plain,(
% 0.12/0.43 ![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))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f2])).
% 0.12/0.43 fof(f18,plain,(
% 0.12/0.43 ![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))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.43 fof(f19,plain,(
% 0.12/0.43 ![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))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.43 fof(f20,plain,(
% 0.12/0.43 ![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))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.43 fof(f21,plain,(
% 0.12/0.43 ![V_X,V_evs]: ((![V_A]: (~c_in(V_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.43 fof(f22,plain,(
% 0.12/0.43 ![X0,X1,X2]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.43 fof(f23,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.43 fof(f24,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X2,X1,X3,X0)),c_Message_Omsg_ONonce(v_sko__2jj(X2,X1,X3,X0)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X3))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.43 fof(f25,plain,(
% 0.12/0.43 ![V_evs,V_X]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_B]: ~c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.43 fof(f26,plain,(
% 0.12/0.43 ![X0,X1,X2]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.43 fof(f27,plain,(
% 0.12/0.43 ![V_A_H,V_A]: ((![V_evs,V_K]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_B_H,V_na_H,V_nb_H,V_X_H]: ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|(![V_B,V_na,V_nb,V_X]: ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))))|V_A=V_A_H)),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.43 fof(f28,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|X7=X1)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.43 fof(f29,plain,(
% 0.12/0.43 ![V_B_H,V_B]: ((![V_evs,V_K]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_A_H,V_na_H,V_nb_H,V_X_H]: ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|(![V_A,V_na,V_nb,V_X]: ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))))|V_B=V_B_H)),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f9])).
% 0.12/0.43 fof(f30,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|X8=X2)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.43 fof(f31,plain,(
% 0.12/0.43 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.43 fof(f32,plain,(
% 0.12/0.43 ((![V_U]: ~V_U=v_X)|~v_B=v_Ba)|~v_A=v_Aa),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f11])).
% 0.12/0.43 fof(f33,plain,(
% 0.12/0.43 ![X0]: (~X0=v_X|~v_B=v_Ba|~v_A=v_Aa)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.43 fof(f34,plain,(
% 0.12/0.43 c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.43 fof(f35,plain,(
% 0.12/0.43 ~c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.43 fof(f36,plain,(
% 0.12/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.43 fof(f37,plain,(
% 0.12/0.43 ~c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.43 fof(f38,plain,(
% 0.12/0.43 ~v_B=v_Ba|~v_A=v_Aa),
% 0.12/0.43 inference(destructive_equality_resolution,[status(thm)],[f33])).
% 0.12/0.43 fof(f39,plain,(
% 0.12/0.43 ~c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(resolution,[status(thm)],[f26,f34])).
% 0.12/0.43 fof(f40,plain,(
% 0.12/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f39,f31])).
% 0.12/0.43 fof(f41,plain,(
% 0.12/0.43 ~c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(v_B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.12/0.43 inference(resolution,[status(thm)],[f24,f36])).
% 0.12/0.43 fof(f42,plain,(
% 0.12/0.43 c_in(v_B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f41,f31])).
% 0.12/0.43 fof(f43,plain,(
% 0.12/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(resolution,[status(thm)],[f40,f20])).
% 0.12/0.43 fof(f46,plain,(
% 0.12/0.43 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f42,f37])).
% 0.12/0.43 fof(f47,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (~c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|v_B=X1)),
% 0.12/0.43 inference(resolution,[status(thm)],[f46,f30])).
% 0.12/0.43 fof(f48,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (~c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|v_A=X0)),
% 0.12/0.43 inference(resolution,[status(thm)],[f46,f28])).
% 0.12/0.43 fof(f49,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|v_B=X1)),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f47,f31])).
% 0.12/0.43 fof(f50,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|v_A=X0)),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f48,f31])).
% 0.12/0.43 fof(f51,plain,(
% 0.12/0.43 ~c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(resolution,[status(thm)],[f43,f22])).
% 0.12/0.43 fof(f52,plain,(
% 0.12/0.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(resolution,[status(thm)],[f43,f16])).
% 0.12/0.43 fof(f55,plain,(
% 0.12/0.43 ~c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.12/0.43 inference(resolution,[status(thm)],[f52,f23])).
% 0.12/0.43 fof(f56,plain,(
% 0.12/0.43 c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f55,f31])).
% 0.12/0.43 fof(f58,plain,(
% 0.12/0.43 c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)|v_A=v_Aa),
% 0.12/0.43 inference(resolution,[status(thm)],[f56,f50])).
% 0.12/0.43 fof(f59,plain,(
% 0.12/0.43 c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)|v_B=v_Ba),
% 0.12/0.43 inference(resolution,[status(thm)],[f56,f49])).
% 0.12/0.43 fof(f64,plain,(
% 0.12/0.43 v_A=v_Aa|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(resolution,[status(thm)],[f58,f51])).
% 0.12/0.43 fof(f67,plain,(
% 0.12/0.43 v_A=v_Aa|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(resolution,[status(thm)],[f64,f18])).
% 0.12/0.43 fof(f77,plain,(
% 0.12/0.43 v_A=v_Aa|c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(resolution,[status(thm)],[f67,f20])).
% 0.12/0.43 fof(f80,plain,(
% 0.12/0.43 v_A=v_Aa),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f77,f35])).
% 0.12/0.43 fof(f88,plain,(
% 0.12/0.43 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|v_B=v_Ba),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f80,f59])).
% 0.12/0.43 fof(f91,plain,(
% 0.12/0.43 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f80,f51])).
% 0.12/0.43 fof(f97,plain,(
% 0.12/0.43 ~v_B=v_Ba|~v_A=v_A),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f80,f38])).
% 0.12/0.43 fof(f103,plain,(
% 0.12/0.43 ~v_B=v_Ba),
% 0.12/0.43 inference(trivial_equality_resolution,[status(thm)],[f97])).
% 0.12/0.43 fof(f108,plain,(
% 0.12/0.43 c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f88,f103])).
% 0.12/0.43 fof(f116,plain,(
% 0.12/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.44 inference(forward_subsumption_resolution,[status(thm)],[f91,f108])).
% 0.12/0.44 fof(f118,plain,(
% 0.12/0.44 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.44 inference(resolution,[status(thm)],[f116,f18])).
% 0.12/0.44 fof(f121,plain,(
% 0.12/0.44 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.12/0.44 inference(resolution,[status(thm)],[f118,f20])).
% 0.12/0.44 fof(f124,plain,(
% 0.12/0.44 $false),
% 0.12/0.44 inference(forward_subsumption_resolution,[status(thm)],[f121,f35])).
% 0.12/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.50 % Elapsed time: 0.092000 seconds
% 0.17/0.50 % CPU time: 0.129304 seconds
% 0.17/0.50 % Total memory used: 10.785 MB
% 0.17/0.50 % Net memory used: 10.774 MB
%------------------------------------------------------------------------------