%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV345-1 : 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 : n015.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 02:50:36 PM UTC 2026
% Result : Unsatisfiable 0.41s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV345-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:45:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.25/0.57 % Drodi V4.1.1
% 0.41/0.80 % Refutation found
% 0.41/0.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.41/0.80 % SZS output start CNFRefutation for theBenchmark
% 0.41/0.80 fof(f2942,axiom,(
% 0.41/0.80 (![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 ) ))),
% 0.41/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.41/0.80 fof(f2943,axiom,(
% 0.41/0.80 (![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 ) ))),
% 0.41/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.41/0.80 fof(f2945,axiom,(
% 0.41/0.80 (![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_nb = V_nb_H ) ))),
% 0.41/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.41/0.80 fof(f2948,negated_conjecture,(
% 0.41/0.80 c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.41/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.41/0.80 fof(f2949,negated_conjecture,(
% 0.41/0.80 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))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.41/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.41/0.80 fof(f2950,negated_conjecture,(
% 0.41/0.80 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_evso,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.41/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.41/0.80 fof(f2953,negated_conjecture,(
% 0.41/0.80 v_nb != c_Message_Omsg_ONonce(v_NB) ),
% 0.41/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.41/0.80 fof(f6553,plain,(
% 0.41/0.80 ![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)),
% 0.41/0.80 inference(miniscoping,[status(thm)],[f2942])).
% 0.41/0.80 fof(f6554,plain,(
% 0.41/0.80 ![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)),
% 0.41/0.80 inference(cnf_transformation,[status(thm)],[f6553])).
% 0.41/0.80 fof(f6555,plain,(
% 0.41/0.80 ![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)),
% 0.41/0.80 inference(miniscoping,[status(thm)],[f2943])).
% 0.41/0.80 fof(f6556,plain,(
% 0.41/0.80 ![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)),
% 0.41/0.80 inference(cnf_transformation,[status(thm)],[f6555])).
% 0.41/0.80 fof(f6559,plain,(
% 0.41/0.80 ![V_nb_H,V_nb]: ((![V_evs,V_K]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_A_H,V_B_H,V_na_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_B,V_na,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_nb=V_nb_H)),
% 0.41/0.80 inference(miniscoping,[status(thm)],[f2945])).
% 0.41/0.80 fof(f6560,plain,(
% 0.41/0.80 ![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)|X10=X5)),
% 0.41/0.80 inference(cnf_transformation,[status(thm)],[f6559])).
% 0.41/0.80 fof(f6563,plain,(
% 0.41/0.80 c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.41/0.80 inference(cnf_transformation,[status(thm)],[f2948])).
% 0.41/0.80 fof(f6564,plain,(
% 0.41/0.80 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))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.41/0.80 inference(cnf_transformation,[status(thm)],[f2949])).
% 0.41/0.80 fof(f6565,plain,(
% 0.41/0.80 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_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.41/0.80 inference(cnf_transformation,[status(thm)],[f2950])).
% 0.41/0.80 fof(f6568,plain,(
% 0.41/0.80 ~v_nb=c_Message_Omsg_ONonce(v_NB)),
% 0.41/0.80 inference(cnf_transformation,[status(thm)],[f2953])).
% 0.41/0.80 fof(f7229,definition,(
% 0.41/0.80 ![X0]: (sQ15_spl <=> (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))))),
% 0.41/0.80 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.41/0.80 fof(f7230,plain,(
% 0.41/0.80 ![X0]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~sQ15_spl)),
% 0.41/0.80 inference(component_clause,[status(thm)],[f7229])).
% 0.41/0.80 fof(f7299,definition,(
% 0.41/0.80 sQ28_spl <=> (c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))),
% 0.41/0.80 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.41/0.80 fof(f7301,plain,(
% 0.41/0.80 ~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|sQ28_spl),
% 0.41/0.80 inference(component_clause,[status(thm)],[f7299])).
% 0.41/0.80 fof(f7309,plain,(
% 0.41/0.80 $false|sQ28_spl),
% 0.41/0.80 inference(forward_subsumption_resolution,[status(thm)],[f7301,f6563])).
% 0.41/0.80 fof(f7310,plain,(
% 0.41/0.80 sQ28_spl),
% 0.41/0.80 inference(contradiction_clause,[status(thm)],[f7309])).
% 0.41/0.80 fof(f7321,plain,(
% 0.41/0.80 $false|~sQ15_spl),
% 0.41/0.80 inference(backward_subsumption_resolution,[status(thm)],[f6563,f7230])).
% 0.41/0.80 fof(f7322,plain,(
% 0.41/0.80 ~sQ15_spl),
% 0.41/0.80 inference(contradiction_clause,[status(thm)],[f7321])).
% 0.41/0.81 fof(f7498,plain,(
% 0.41/0.81 ![X0,X1,X2,X3,X4]: (~c_in(v_evso,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_evso,tc_Event_Oevent),tc_Event_Oevent)|v_A=X0)),
% 0.41/0.81 inference(resolution,[status(thm)],[f6554,f6565])).
% 0.41/0.81 fof(f7503,definition,(
% 0.41/0.81 ![X0,X1,X2,X3,X4]: (sQ36_spl <=> (~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_evso,tc_Event_Oevent),tc_Event_Oevent)|v_A=X0))),
% 0.41/0.81 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.41/0.81 fof(f7504,plain,(
% 0.41/0.81 ![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_evso,tc_Event_Oevent),tc_Event_Oevent)|v_A=X0|~sQ36_spl)),
% 0.41/0.81 inference(component_clause,[status(thm)],[f7503])).
% 0.41/0.81 fof(f7506,plain,(
% 0.41/0.81 ~sQ28_spl|sQ36_spl),
% 0.41/0.81 inference(split_clause,[status(thm)],[f7498,f7299,f7503])).
% 0.41/0.81 fof(f7517,plain,(
% 0.41/0.81 ![X0,X1,X2,X3,X4]: (~c_in(v_evso,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_evso,tc_Event_Oevent),tc_Event_Oevent)|v_B=X1)),
% 0.41/0.81 inference(resolution,[status(thm)],[f6556,f6565])).
% 0.41/0.81 fof(f7522,definition,(
% 0.41/0.81 ![X0,X1,X2,X3,X4]: (sQ39_spl <=> (~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_evso,tc_Event_Oevent),tc_Event_Oevent)|v_B=X1))),
% 0.41/0.81 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.41/0.81 fof(f7523,plain,(
% 0.41/0.81 ![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_evso,tc_Event_Oevent),tc_Event_Oevent)|v_B=X1|~sQ39_spl)),
% 0.41/0.81 inference(component_clause,[status(thm)],[f7522])).
% 0.41/0.81 fof(f7525,plain,(
% 0.41/0.81 ~sQ28_spl|sQ39_spl),
% 0.41/0.81 inference(split_clause,[status(thm)],[f7517,f7299,f7522])).
% 0.41/0.81 fof(f7598,plain,(
% 0.41/0.81 v_A=v_Aa|~sQ36_spl),
% 0.41/0.81 inference(resolution,[status(thm)],[f7504,f6564])).
% 0.41/0.81 fof(f7609,plain,(
% 0.41/0.81 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_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|~sQ36_spl),
% 0.41/0.81 inference(backward_demodulation,[status(thm)],[f7598,f6565])).
% 0.41/0.81 fof(f7612,plain,(
% 0.41/0.81 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,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_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|~sQ36_spl),
% 0.41/0.81 inference(forward_demodulation,[status(thm)],[f7598,f7609])).
% 0.41/0.81 fof(f7613,plain,(
% 0.41/0.81 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_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_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|~sQ36_spl),
% 0.41/0.81 inference(forward_demodulation,[status(thm)],[f7598,f7612])).
% 0.41/0.81 fof(f7678,plain,(
% 0.41/0.81 ![X0,X1,X2,X3,X4]: (~c_in(v_evso,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_evso,tc_Event_Oevent),tc_Event_Oevent)|c_Message_Omsg_ONonce(v_NB)=X3)),
% 0.41/0.81 inference(resolution,[status(thm)],[f6560,f6564])).
% 0.41/0.81 fof(f7682,definition,(
% 0.41/0.82 ![X0,X1,X2,X3,X4]: (sQ47_spl <=> (~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_evso,tc_Event_Oevent),tc_Event_Oevent)|c_Message_Omsg_ONonce(v_NB)=X3))),
% 0.41/0.82 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.41/0.82 fof(f7683,plain,(
% 0.41/0.82 ![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_evso,tc_Event_Oevent),tc_Event_Oevent)|c_Message_Omsg_ONonce(v_NB)=X3|~sQ47_spl)),
% 0.41/0.82 inference(component_clause,[status(thm)],[f7682])).
% 0.41/0.82 fof(f7685,plain,(
% 0.41/0.82 ~sQ28_spl|sQ47_spl),
% 0.41/0.82 inference(split_clause,[status(thm)],[f7678,f7299,f7682])).
% 0.41/0.82 fof(f8236,plain,(
% 0.41/0.83 v_B=v_Ba|~sQ39_spl),
% 0.41/0.83 inference(resolution,[status(thm)],[f7523,f6564])).
% 0.41/0.83 fof(f8241,plain,(
% 0.41/0.83 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_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_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|~sQ39_spl|~sQ36_spl),
% 0.41/0.83 inference(backward_demodulation,[status(thm)],[f8236,f7613])).
% 0.41/0.83 fof(f8246,plain,(
% 0.41/0.83 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(v_na,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_evso,tc_Event_Oevent),tc_Event_Oevent)|~sQ39_spl|~sQ36_spl),
% 0.41/0.83 inference(forward_demodulation,[status(thm)],[f8236,f8241])).
% 0.41/0.83 fof(f9238,definition,(
% 0.41/0.83 sQ163_spl <=> (v_na=v_na)),
% 0.41/0.83 introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 0.41/0.83 fof(f9240,plain,(
% 0.41/0.83 ~v_na=v_na|sQ163_spl),
% 0.41/0.83 inference(component_clause,[status(thm)],[f9238])).
% 0.41/0.83 fof(f9245,plain,(
% 0.41/0.83 $false|sQ163_spl),
% 0.41/0.83 inference(trivial_equality_resolution,[status(thm)],[f9240])).
% 0.41/0.83 fof(f9246,plain,(
% 0.41/0.83 sQ163_spl),
% 0.41/0.83 inference(contradiction_clause,[status(thm)],[f9245])).
% 0.41/0.83 fof(f9437,plain,(
% 0.41/0.83 c_Message_Omsg_ONonce(v_NB)=v_nb|~sQ47_spl|~sQ39_spl|~sQ36_spl),
% 0.41/0.83 inference(resolution,[status(thm)],[f7683,f8246])).
% 0.41/0.83 fof(f9438,plain,(
% 0.41/0.83 $false|~sQ47_spl|~sQ39_spl|~sQ36_spl),
% 0.41/0.83 inference(forward_subsumption_resolution,[status(thm)],[f9437,f6568])).
% 0.41/0.83 fof(f9439,plain,(
% 0.41/0.83 ~sQ47_spl|~sQ39_spl|~sQ36_spl),
% 0.41/0.83 inference(contradiction_clause,[status(thm)],[f9438])).
% 0.41/0.83 fof(f9440,plain,(
% 0.41/0.83 $false),
% 0.41/0.83 inference(sat_refutation,[status(thm)],[f7310,f7322,f7506,f7525,f7685,f9246,f9439])).
% 0.41/0.83 % SZS output end CNFRefutation for theBenchmark.p
% 0.41/0.86 % Elapsed time: 0.483273 seconds
% 0.41/0.86 % CPU time: 2.107278 seconds
% 0.41/0.86 % Total memory used: 242.348 MB
% 0.41/0.86 % Net memory used: 241.476 MB
%------------------------------------------------------------------------------