%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV352-2 : 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 : n016.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 02:50:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV352-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:47:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,negated_conjecture,(
% 0.13/0.39 c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 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_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,negated_conjecture,(
% 0.13/0.39 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,axiom,(
% 0.13/0.39 (![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_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,axiom,(
% 0.13/0.39 (![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) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,axiom,(
% 0.13/0.39 (![V_evs,V_A,V_B,V_k,V_na,V_nb,V_X]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(V_k,c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,axiom,(
% 0.13/0.39 (![V_evs,V_B,V_A,V_na,V_NB,V_B_H,V_A_H,V_nb_H]: (( ~ 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_OMPair(V_na,c_Message_Omsg_ONonce(V_NB)))),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_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),V_nb_H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 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_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![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_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![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_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![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))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![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))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![V_evs,V_A,V_B,V_na,V_nb]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_k,V_X]: ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(V_k,c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f10])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ![V_evs,V_NB]: (((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_B,V_A,V_na]: ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|(![V_B_H,V_A_H,V_nb_H]: ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),V_nb_H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~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(X3,c_Message_Omsg_ONonce(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),X7))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),
% 0.13/0.39 inference(resolution,[status(thm)],[f17,f14])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.13/0.39 inference(resolution,[status(thm)],[f25,f13])).
% 0.13/0.39 fof(f33,definition,(
% 0.13/0.39 sQ0_spl <=> (c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f33])).
% 0.13/0.39 fof(f36,definition,(
% 0.13/0.39 sQ1_spl <=> (c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f36])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f32,f33,f36])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 $false|sQ0_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f35,f12])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f40])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.13/0.39 inference(resolution,[status(thm)],[f30,f20])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.13/0.39 inference(resolution,[status(thm)],[f42,f19])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg))),
% 0.13/0.39 inference(resolution,[status(thm)],[f43,f27])).
% 0.13/0.39 fof(f56,definition,(
% 0.13/0.39 ![X0,X1,X2]: (sQ4_spl <=> (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|~sQ4_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f56])).
% 0.13/0.39 fof(f59,definition,(
% 0.13/0.39 sQ5_spl <=> (c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|~sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f59])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 ~sQ0_spl|sQ4_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f33,f56,f59])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 ~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|~sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f37,f23])).
% 0.13/0.39 fof(f64,definition,(
% 0.13/0.39 sQ6_spl <=> (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f64])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 ~sQ0_spl|sQ6_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f63,f33,f64,f36])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg)|~sQ6_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f65,f20])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f21,f71])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|~sQ6_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f72,f19])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 $false|~sQ4_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f80,f57])).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ6_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f82])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 $false|~sQ5_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f60,f15])).
% 0.13/0.39 fof(f85,plain,(
% 0.13/0.39 ~sQ5_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f84])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f39,f41,f62,f67,f83,f85])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.052567 seconds
% 0.13/0.42 % CPU time: 0.151506 seconds
% 0.13/0.42 % Total memory used: 68.038 MB
% 0.13/0.42 % Net memory used: 67.487 MB
%------------------------------------------------------------------------------