TSTP Solution File: SWV352-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV352-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:41:27 EDT 2023

% Result   : Unsatisfiable 0.15s 0.32s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWV352-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n006.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 11:37:17 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.5.1
% 0.15/0.32  % Refutation found
% 0.15/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32  fof(f1,negated_conjecture,(
% 0.15/0.32    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f2,negated_conjecture,(
% 0.15/0.32    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) ),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f3,negated_conjecture,(
% 0.15/0.32    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) ),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f4,negated_conjecture,(
% 0.15/0.32    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f5,axiom,(
% 0.15/0.32    (![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) ) ))),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f6,axiom,(
% 0.15/0.32    (![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) ) ))),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f7,axiom,(
% 0.15/0.32    (![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) ) ))),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f8,axiom,(
% 0.15/0.32    (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f9,axiom,(
% 0.15/0.32    (![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) ) ))),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f10,axiom,(
% 0.15/0.32    (![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) ) ))),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f11,axiom,(
% 0.15/0.32    (![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) ) ))),
% 0.15/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32  fof(f12,plain,(
% 0.15/0.32    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.32  fof(f13,plain,(
% 0.15/0.32    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)),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.32  fof(f14,plain,(
% 0.15/0.32    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)),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.32  fof(f15,plain,(
% 0.15/0.32    ~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.32  fof(f16,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(miniscoping,[status(esa)],[f5])).
% 0.15/0.32  fof(f17,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.32  fof(f18,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(miniscoping,[status(esa)],[f6])).
% 0.15/0.32  fof(f19,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.32  fof(f20,plain,(
% 0.15/0.32    ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32  fof(f21,plain,(
% 0.15/0.32    ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.32  fof(f22,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(miniscoping,[status(esa)],[f9])).
% 0.15/0.32  fof(f23,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.32  fof(f24,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(miniscoping,[status(esa)],[f10])).
% 0.15/0.32  fof(f25,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.32  fof(f26,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(miniscoping,[status(esa)],[f11])).
% 0.15/0.32  fof(f27,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.32  fof(f29,plain,(
% 0.15/0.32    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)),
% 0.15/0.32    inference(resolution,[status(thm)],[f17,f14])).
% 0.15/0.32  fof(f31,plain,(
% 0.15/0.32    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)),
% 0.15/0.32    inference(resolution,[status(thm)],[f20,f29])).
% 0.15/0.32  fof(f47,plain,(
% 0.15/0.32    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)),
% 0.15/0.32    inference(resolution,[status(thm)],[f19,f31])).
% 0.15/0.32  fof(f60,plain,(
% 0.15/0.32    spl0_0 <=> c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.15/0.32    introduced(split_symbol_definition)).
% 0.15/0.32  fof(f62,plain,(
% 0.15/0.32    ~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|spl0_0),
% 0.15/0.32    inference(component_clause,[status(thm)],[f60])).
% 0.15/0.32  fof(f63,plain,(
% 0.15/0.32    spl0_1 <=> 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)),
% 0.15/0.32    introduced(split_symbol_definition)).
% 0.15/0.32  fof(f64,plain,(
% 0.15/0.32    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)|~spl0_1),
% 0.15/0.32    inference(component_clause,[status(thm)],[f63])).
% 0.15/0.32  fof(f66,plain,(
% 0.15/0.32    ~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)),
% 0.15/0.32    inference(resolution,[status(thm)],[f25,f13])).
% 0.15/0.32  fof(f67,plain,(
% 0.15/0.32    ~spl0_0|spl0_1),
% 0.15/0.32    inference(split_clause,[status(thm)],[f66,f60,f63])).
% 0.15/0.32  fof(f68,plain,(
% 0.15/0.32    $false|spl0_0),
% 0.15/0.32    inference(forward_subsumption_resolution,[status(thm)],[f62,f12])).
% 0.15/0.32  fof(f69,plain,(
% 0.15/0.32    spl0_0),
% 0.15/0.32    inference(contradiction_clause,[status(thm)],[f68])).
% 0.15/0.32  fof(f70,plain,(
% 0.15/0.32    spl0_2 <=> ~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)),
% 0.15/0.32    introduced(split_symbol_definition)).
% 0.15/0.32  fof(f71,plain,(
% 0.15/0.32    ![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)|~spl0_2)),
% 0.15/0.32    inference(component_clause,[status(thm)],[f70])).
% 0.15/0.32  fof(f73,plain,(
% 0.15/0.32    spl0_3 <=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.15/0.32    introduced(split_symbol_definition)).
% 0.15/0.32  fof(f74,plain,(
% 0.15/0.32    c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|~spl0_3),
% 0.15/0.32    inference(component_clause,[status(thm)],[f73])).
% 0.15/0.32  fof(f76,plain,(
% 0.15/0.32    ![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))),
% 0.15/0.32    inference(resolution,[status(thm)],[f47,f27])).
% 0.15/0.32  fof(f77,plain,(
% 0.15/0.32    ~spl0_0|spl0_2|spl0_3),
% 0.15/0.32    inference(split_clause,[status(thm)],[f76,f60,f70,f73])).
% 0.15/0.32  fof(f80,plain,(
% 0.15/0.32    spl0_4 <=> 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)),
% 0.15/0.32    introduced(split_symbol_definition)).
% 0.15/0.32  fof(f81,plain,(
% 0.15/0.32    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)|~spl0_4),
% 0.15/0.32    inference(component_clause,[status(thm)],[f80])).
% 0.15/0.32  fof(f83,plain,(
% 0.15/0.32    ~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)|~spl0_1),
% 0.15/0.32    inference(resolution,[status(thm)],[f64,f23])).
% 0.15/0.32  fof(f84,plain,(
% 0.15/0.32    ~spl0_0|spl0_4|~spl0_1),
% 0.15/0.32    inference(split_clause,[status(thm)],[f83,f60,f80,f63])).
% 0.15/0.32  fof(f85,plain,(
% 0.15/0.32    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)|~spl0_4),
% 0.15/0.32    inference(resolution,[status(thm)],[f81,f20])).
% 0.15/0.32  fof(f86,plain,(
% 0.15/0.32    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)|~spl0_4),
% 0.15/0.34    inference(forward_demodulation,[status(thm)],[f21,f85])).
% 0.15/0.34  fof(f87,plain,(
% 0.15/0.34    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)|~spl0_4),
% 0.15/0.34    inference(resolution,[status(thm)],[f86,f19])).
% 0.15/0.34  fof(f88,plain,(
% 0.15/0.34    $false|~spl0_2|~spl0_4),
% 0.15/0.34    inference(forward_subsumption_resolution,[status(thm)],[f87,f71])).
% 0.15/0.34  fof(f89,plain,(
% 0.15/0.34    ~spl0_2|~spl0_4),
% 0.15/0.34    inference(contradiction_clause,[status(thm)],[f88])).
% 0.15/0.34  fof(f91,plain,(
% 0.15/0.34    $false|~spl0_3),
% 0.15/0.34    inference(forward_subsumption_resolution,[status(thm)],[f74,f15])).
% 0.15/0.34  fof(f92,plain,(
% 0.15/0.34    ~spl0_3),
% 0.15/0.34    inference(contradiction_clause,[status(thm)],[f91])).
% 0.15/0.34  fof(f93,plain,(
% 0.15/0.34    $false),
% 0.15/0.34    inference(sat_refutation,[status(thm)],[f67,f69,f77,f84,f89,f92])).
% 0.15/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.56  % Elapsed time: 0.037627 seconds
% 0.15/0.56  % CPU time: 0.017971 seconds
% 0.15/0.56  % Memory used: 2.682 MB
%------------------------------------------------------------------------------