TSTP Solution File: SWV815-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV815-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 12:44:03 EDT 2023

% Result   : Unsatisfiable 12.14s 1.92s
% Output   : CNFRefutation 12.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV815-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.32  % Computer : n026.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Tue May 30 11:55:28 EDT 2023
% 0.13/0.32  % CPUTime  : 
% 0.13/0.37  % Drodi V3.5.1
% 12.14/1.92  % Refutation found
% 12.14/1.92  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.14/1.92  % SZS output start CNFRefutation for theBenchmark
% 12.14/1.92  fof(f224,axiom,(
% 12.14/1.92    (![V_X,V_H,V_G]: (( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ))),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f425,axiom,(
% 12.14/1.92    (![V_P,V_evs]: (c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(V_P,V_evs,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f511,axiom,(
% 12.14/1.92    (![V_A,V_B,V_K,V_NB,V_evs,V_NA,V_X]: (( c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| c_in(V_B,c_Event_Obad,tc_Message_Oagent)| c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f520,axiom,(
% 12.14/1.92    (![V_evs]: (c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent)) ))),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f530,axiom,(
% 12.14/1.92    (![V_X,V_evs,V_A,V_B]: (( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f536,axiom,(
% 12.14/1.92    (![V_H]: (c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ))),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f565,axiom,(
% 12.14/1.92    (![V_x,V_S,T_a]: (( c_in(V_x,V_S,T_a)| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f566,axiom,(
% 12.14/1.92    (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ c_in(V_x,V_S,T_a) ) ))),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f588,negated_conjecture,(
% 12.14/1.92    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f589,negated_conjecture,(
% 12.14/1.92    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f590,negated_conjecture,(
% 12.14/1.92    c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f593,negated_conjecture,(
% 12.14/1.92    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent) ),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f594,negated_conjecture,(
% 12.14/1.92    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg) ),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f595,negated_conjecture,(
% 12.14/1.92    v_A = v_Aa ),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f596,negated_conjecture,(
% 12.14/1.92    v_B = v_Ba ),
% 12.14/1.92    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.92  fof(f597,negated_conjecture,(
% 12.14/1.94    v_K = v_Ka ),
% 12.14/1.94    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.94  fof(f598,negated_conjecture,(
% 12.14/1.94    v_NB = v_NBa ),
% 12.14/1.94    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.94  fof(f599,negated_conjecture,(
% 12.14/1.94    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) ),
% 12.14/1.94    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.94  fof(f600,negated_conjecture,(
% 12.14/1.94    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent) ) ),
% 12.14/1.94    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.14/1.94  fof(f951,plain,(
% 12.14/1.94    ![V_X,V_G]: ((![V_H]: (c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)|~c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))))|~c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg))),
% 12.14/1.94    inference(miniscoping,[status(esa)],[f224])).
% 12.14/1.94  fof(f952,plain,(
% 12.14/1.94    ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|~c_lessequals(X2,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))|~c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f951])).
% 12.14/1.94  fof(f1212,plain,(
% 12.14/1.94    ![X0,X1]: (c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X0,X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)))),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f425])).
% 12.14/1.94  fof(f1351,plain,(
% 12.14/1.94    ![V_K,V_NB,V_evs]: ((![V_A,V_B]: (((((c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|~c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|c_in(V_B,c_Event_Obad,tc_Message_Oagent))|c_in(V_A,c_Event_Obad,tc_Message_Oagent))|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|(![V_NA,V_X]: ~c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))))|~c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))),
% 12.14/1.94    inference(miniscoping,[status(esa)],[f511])).
% 12.14/1.94  fof(f1352,plain,(
% 12.14/1.94    ![X0,X1,X2,X3,X4,X5,X6]: (c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)|~c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(X1,c_Event_Obad,tc_Message_Oagent)|c_in(X0,c_Event_Obad,tc_Message_Oagent)|c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg))),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f1351])).
% 12.14/1.94  fof(f1367,plain,(
% 12.14/1.94    ![X0]: (c_Event_Oknows(c_Message_Oagent_OSpy,X0)=c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X0,tc_Event_Oevent)))),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f520])).
% 12.14/1.94  fof(f1380,plain,(
% 12.14/1.94    ![V_X,V_evs]: (c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|(![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)))),
% 12.14/1.94    inference(miniscoping,[status(esa)],[f530])).
% 12.14/1.94  fof(f1381,plain,(
% 12.14/1.94    ![X0,X1,X2,X3]: (c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)|~c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f1380])).
% 12.14/1.94  fof(f1390,plain,(
% 12.14/1.94    ![X0]: (c_Message_Oparts(c_Message_Oparts(X0))=c_Message_Oparts(X0))),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f536])).
% 12.14/1.94  fof(f1427,plain,(
% 12.14/1.94    ![V_x,V_S]: ((![T_a]: c_in(V_x,V_S,T_a))|~hBOOL(hAPP(V_S,V_x)))),
% 12.14/1.94    inference(miniscoping,[status(esa)],[f565])).
% 12.14/1.94  fof(f1428,plain,(
% 12.14/1.94    ![X0,X1,X2]: (c_in(X0,X1,X2)|~hBOOL(hAPP(X1,X0)))),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f1427])).
% 12.14/1.94  fof(f1429,plain,(
% 12.14/1.94    ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~c_in(V_x,V_S,T_a)))),
% 12.14/1.94    inference(miniscoping,[status(esa)],[f566])).
% 12.14/1.94  fof(f1430,plain,(
% 12.14/1.94    ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~c_in(X1,X0,X2))),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f1429])).
% 12.14/1.94  fof(f1459,plain,(
% 12.14/1.94    ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f588])).
% 12.14/1.94  fof(f1460,plain,(
% 12.14/1.94    ~c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f589])).
% 12.14/1.94  fof(f1461,plain,(
% 12.14/1.94    c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f590])).
% 12.14/1.94  fof(f1464,plain,(
% 12.14/1.94    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f593])).
% 12.14/1.94  fof(f1465,plain,(
% 12.14/1.94    ~c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f594])).
% 12.14/1.94  fof(f1466,plain,(
% 12.14/1.94    v_A=v_Aa),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f595])).
% 12.14/1.94  fof(f1467,plain,(
% 12.14/1.94    v_B=v_Ba),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f596])).
% 12.14/1.94  fof(f1468,plain,(
% 12.14/1.94    v_K=v_Ka),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f597])).
% 12.14/1.94  fof(f1469,plain,(
% 12.14/1.94    v_NB=v_NBa),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f598])).
% 12.14/1.94  fof(f1470,plain,(
% 12.14/1.94    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f599])).
% 12.14/1.94  fof(f1471,plain,(
% 12.14/1.94    ~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)|~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
% 12.14/1.94    inference(cnf_transformation,[status(esa)],[f600])).
% 12.14/1.94  fof(f1508,plain,(
% 12.14/1.94    spl0_0 <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)),
% 12.14/1.94    introduced(split_symbol_definition)).
% 12.14/1.94  fof(f1510,plain,(
% 12.14/1.94    ~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)|spl0_0),
% 12.14/1.94    inference(component_clause,[status(thm)],[f1508])).
% 12.14/1.94  fof(f1511,plain,(
% 12.14/1.94    spl0_1 <=> c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
% 12.14/1.94    introduced(split_symbol_definition)).
% 12.14/1.94  fof(f1513,plain,(
% 12.14/1.94    ~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)|spl0_1),
% 12.14/1.94    inference(component_clause,[status(thm)],[f1511])).
% 12.14/1.94  fof(f1514,plain,(
% 12.14/1.94    ~spl0_0|~spl0_1),
% 12.14/1.94    inference(split_clause,[status(thm)],[f1471,f1508,f1511])).
% 12.14/1.94  fof(f1519,plain,(
% 12.14/1.94    ~c_in(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
% 12.14/1.94    inference(backward_demodulation,[status(thm)],[f1468,f1465])).
% 12.14/1.94  fof(f1521,plain,(
% 12.14/1.94    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1466,f1464])).
% 12.14/1.94  fof(f1522,plain,(
% 12.14/1.94    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1466,f1521])).
% 12.14/1.94  fof(f1523,plain,(
% 12.14/1.94    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1467,f1522])).
% 12.14/1.94  fof(f1524,plain,(
% 12.14/1.94    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_Ba,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1466,f1470])).
% 12.14/1.94  fof(f1525,plain,(
% 12.14/1.94    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1467,f1524])).
% 12.14/1.94  fof(f1526,plain,(
% 12.14/1.94    ~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)|spl0_0),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1468,f1510])).
% 12.14/1.94  fof(f1527,plain,(
% 12.14/1.94    ~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)|spl0_0),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1469,f1526])).
% 12.14/1.94  fof(f1528,plain,(
% 12.14/1.94    ~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)|spl0_0),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1469,f1527])).
% 12.14/1.94  fof(f1529,plain,(
% 12.14/1.94    ~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)|spl0_0),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1468,f1528])).
% 12.14/1.94  fof(f1530,plain,(
% 12.14/1.94    ~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)|spl0_0),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1469,f1529])).
% 12.14/1.94  fof(f1531,plain,(
% 12.14/1.94    ~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)|spl0_0),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1469,f1530])).
% 12.14/1.94  fof(f1532,plain,(
% 12.14/1.94    $false|spl0_0),
% 12.14/1.94    inference(forward_subsumption_resolution,[status(thm)],[f1531,f1525])).
% 12.14/1.94  fof(f1533,plain,(
% 12.14/1.94    spl0_0),
% 12.14/1.94    inference(contradiction_clause,[status(thm)],[f1532])).
% 12.14/1.94  fof(f1534,plain,(
% 12.14/1.94    ~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)|spl0_1),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1468,f1513])).
% 12.14/1.94  fof(f1535,plain,(
% 12.14/1.94    ~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)|spl0_1),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1469,f1534])).
% 12.14/1.94  fof(f1536,plain,(
% 12.14/1.94    ~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)|spl0_1),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1469,f1535])).
% 12.14/1.94  fof(f1659,plain,(
% 12.14/1.94    ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)|~c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X2,X1,tc_Event_Oevent)))),tc_Message_Omsg))),
% 12.14/1.94    inference(resolution,[status(thm)],[f952,f1212])).
% 12.14/1.94  fof(f1660,plain,(
% 12.14/1.94    ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)|~c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X2,X1,tc_Event_Oevent))),tc_Message_Omsg))),
% 12.14/1.94    inference(forward_demodulation,[status(thm)],[f1390,f1659])).
% 12.14/1.94  fof(f1722,plain,(
% 12.14/1.94    hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))))),
% 12.14/1.94    inference(resolution,[status(thm)],[f1430,f1525])).
% 12.14/1.94  fof(f1723,plain,(
% 12.14/1.94    hBOOL(hAPP(c_List_Oset(v_evs5,tc_Event_Oevent),c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X)))))))),
% 12.14/1.94    inference(resolution,[status(thm)],[f1430,f1523])).
% 12.14/1.94  fof(f1725,plain,(
% 12.14/1.94    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs5))),
% 12.14/1.94    inference(resolution,[status(thm)],[f1430,f1461])).
% 12.14/1.94  fof(f4619,plain,(
% 12.14/1.94    ![X0]: (c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),X0))),
% 12.14/1.94    inference(resolution,[status(thm)],[f1428,f1722])).
% 12.14/1.94  fof(f4622,plain,(
% 12.14/1.94    ![X0]: (c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),X0))),
% 12.14/1.94    inference(resolution,[status(thm)],[f1428,f1723])).
% 12.14/1.94  fof(f4628,plain,(
% 12.14/1.94    ![X0]: (c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,X0))),
% 12.14/1.94    inference(resolution,[status(thm)],[f1428,f1725])).
% 12.14/1.94  fof(f5185,plain,(
% 12.14/1.94    spl0_44 <=> c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
% 12.14/1.94    introduced(split_symbol_definition)).
% 12.14/1.94  fof(f5187,plain,(
% 12.14/1.94    ~c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|spl0_44),
% 12.14/1.94    inference(component_clause,[status(thm)],[f5185])).
% 12.14/1.94  fof(f5194,plain,(
% 12.14/1.94    $false|spl0_44),
% 12.14/1.94    inference(forward_subsumption_resolution,[status(thm)],[f5187,f4628])).
% 12.14/1.94  fof(f5195,plain,(
% 12.14/1.94    spl0_44),
% 12.14/1.94    inference(contradiction_clause,[status(thm)],[f5194])).
% 12.14/1.94  fof(f5837,plain,(
% 12.14/1.94    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
% 12.14/1.94    inference(resolution,[status(thm)],[f1381,f4622])).
% 12.14/1.94  fof(f5935,plain,(
% 12.14/1.94    spl0_53 <=> c_in(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
% 12.14/1.94    introduced(split_symbol_definition)).
% 12.14/1.94  fof(f5936,plain,(
% 12.14/1.94    c_in(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)|~spl0_53),
% 12.14/1.94    inference(component_clause,[status(thm)],[f5935])).
% 12.14/1.94  fof(f7301,plain,(
% 12.14/1.94    spl0_95 <=> c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
% 12.14/1.94    introduced(split_symbol_definition)).
% 12.14/1.94  fof(f7302,plain,(
% 12.14/1.94    ![X0]: (c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)|~spl0_95)),
% 12.14/1.94    inference(component_clause,[status(thm)],[f7301])).
% 12.14/1.94  fof(f7304,plain,(
% 12.14/1.94    spl0_96 <=> c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 12.14/1.94    introduced(split_symbol_definition)).
% 12.14/1.94  fof(f7305,plain,(
% 12.14/1.94    c_in(v_B,c_Event_Obad,tc_Message_Oagent)|~spl0_96),
% 12.14/1.94    inference(component_clause,[status(thm)],[f7304])).
% 12.14/1.94  fof(f7307,plain,(
% 12.14/1.94    spl0_97 <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 12.14/1.94    introduced(split_symbol_definition)).
% 12.14/1.94  fof(f7308,plain,(
% 12.14/1.94    c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~spl0_97),
% 12.14/1.94    inference(component_clause,[status(thm)],[f7307])).
% 12.14/1.94  fof(f7310,plain,(
% 12.14/1.94    ![X0]: (c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)|~c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(v_B,c_Event_Obad,tc_Message_Oagent)|c_in(v_A,c_Event_Obad,tc_Message_Oagent)|c_in(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg))),
% 12.14/1.94    inference(resolution,[status(thm)],[f5837,f1352])).
% 12.14/1.94  fof(f7311,plain,(
% 12.14/1.94    spl0_95|~spl0_44|spl0_96|spl0_97|spl0_53),
% 12.14/1.94    inference(split_clause,[status(thm)],[f7310,f7301,f5185,f7304,f7307,f5935])).
% 12.14/1.94  fof(f7317,plain,(
% 12.14/1.94    $false|~spl0_97),
% 12.14/1.94    inference(forward_subsumption_resolution,[status(thm)],[f7308,f1459])).
% 12.14/1.94  fof(f7318,plain,(
% 12.14/1.94    ~spl0_97),
% 12.14/1.94    inference(contradiction_clause,[status(thm)],[f7317])).
% 12.14/1.94  fof(f7319,plain,(
% 12.14/1.94    $false|~spl0_96),
% 12.14/1.94    inference(forward_subsumption_resolution,[status(thm)],[f7305,f1460])).
% 12.14/1.94  fof(f7320,plain,(
% 12.14/1.94    ~spl0_96),
% 12.14/1.94    inference(contradiction_clause,[status(thm)],[f7319])).
% 12.14/1.94  fof(f7449,plain,(
% 12.14/1.94    ~c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)|~spl0_95|spl0_1),
% 12.14/1.96    inference(resolution,[status(thm)],[f7302,f1536])).
% 12.14/1.96  fof(f12953,plain,(
% 12.14/1.96    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(v_evs5,tc_Event_Oevent))),tc_Message_Omsg)),
% 12.14/1.96    inference(resolution,[status(thm)],[f1660,f4619])).
% 12.14/1.96  fof(f12954,plain,(
% 12.14/1.96    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg)),
% 12.14/1.96    inference(forward_demodulation,[status(thm)],[f1367,f12953])).
% 12.14/1.96  fof(f12955,plain,(
% 12.14/1.96    $false|~spl0_95|spl0_1),
% 12.14/1.96    inference(forward_subsumption_resolution,[status(thm)],[f12954,f7449])).
% 12.14/1.96  fof(f12956,plain,(
% 12.14/1.96    ~spl0_95|spl0_1),
% 12.14/1.96    inference(contradiction_clause,[status(thm)],[f12955])).
% 12.14/1.96  fof(f12962,plain,(
% 12.14/1.96    $false|~spl0_53),
% 12.14/1.96    inference(forward_subsumption_resolution,[status(thm)],[f5936,f1519])).
% 12.14/1.96  fof(f12963,plain,(
% 12.14/1.96    ~spl0_53),
% 12.14/1.96    inference(contradiction_clause,[status(thm)],[f12962])).
% 12.14/1.96  fof(f12964,plain,(
% 12.14/1.96    $false),
% 12.14/1.96    inference(sat_refutation,[status(thm)],[f1514,f1533,f5195,f7311,f7318,f7320,f12956,f12963])).
% 12.14/1.96  % SZS output end CNFRefutation for theBenchmark.p
% 12.91/1.99  % Elapsed time: 1.649100 seconds
% 12.91/1.99  % CPU time: 12.561416 seconds
% 12.91/1.99  % Memory used: 401.292 MB
%------------------------------------------------------------------------------