TSTP Solution File: SWV346-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV346-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:41:25 EDT 2023

% Result   : Unsatisfiable 0.15s 0.55s
% Output   : CNFRefutation 0.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SWV346-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n001.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue May 30 12:11:45 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.40  % Drodi V3.5.1
% 0.15/0.55  % Refutation found
% 0.15/0.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.55  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.55  fof(f2942,axiom,(
% 0.15/0.55    (![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 ) ))),
% 0.15/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.55  fof(f2943,axiom,(
% 0.15/0.55    (![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 ) ))),
% 0.15/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.55  fof(f2944,axiom,(
% 0.15/0.55    (![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_na = V_na_H ) ))),
% 0.15/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.55  fof(f2948,negated_conjecture,(
% 0.15/0.55    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.15/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.55  fof(f2949,negated_conjecture,(
% 0.15/0.55    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) ),
% 0.15/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.55  fof(f2950,negated_conjecture,(
% 0.15/0.55    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) ),
% 0.15/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.55  fof(f2953,negated_conjecture,(
% 0.15/0.55    v_na != c_Message_Omsg_ONonce(v_NA) ),
% 0.15/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.55  fof(f6553,plain,(
% 0.15/0.55    ![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)),
% 0.15/0.55    inference(miniscoping,[status(esa)],[f2942])).
% 0.15/0.55  fof(f6554,plain,(
% 0.15/0.55    ![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)),
% 0.15/0.55    inference(cnf_transformation,[status(esa)],[f6553])).
% 0.15/0.55  fof(f6555,plain,(
% 0.15/0.55    ![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)),
% 0.15/0.55    inference(miniscoping,[status(esa)],[f2943])).
% 0.15/0.55  fof(f6556,plain,(
% 0.15/0.55    ![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)),
% 0.15/0.55    inference(cnf_transformation,[status(esa)],[f6555])).
% 0.15/0.55  fof(f6557,plain,(
% 0.15/0.55    ![V_na_H,V_na]: ((![V_evs,V_K]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_A_H,V_B_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_B,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_na=V_na_H)),
% 0.15/0.55    inference(miniscoping,[status(esa)],[f2944])).
% 0.15/0.55  fof(f6558,plain,(
% 0.15/0.55    ![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)|X9=X4)),
% 0.15/0.55    inference(cnf_transformation,[status(esa)],[f6557])).
% 0.15/0.55  fof(f6563,plain,(
% 0.15/0.55    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.15/0.55    inference(cnf_transformation,[status(esa)],[f2948])).
% 0.15/0.55  fof(f6564,plain,(
% 0.15/0.55    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)),
% 0.15/0.55    inference(cnf_transformation,[status(esa)],[f2949])).
% 0.15/0.55  fof(f6565,plain,(
% 0.15/0.55    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)),
% 0.15/0.55    inference(cnf_transformation,[status(esa)],[f2950])).
% 0.15/0.55  fof(f6568,plain,(
% 0.15/0.55    ~v_na=c_Message_Omsg_ONonce(v_NA)),
% 0.15/0.55    inference(cnf_transformation,[status(esa)],[f2953])).
% 0.15/0.55  fof(f7459,plain,(
% 0.15/0.55    spl0_85 <=> c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.15/0.55    introduced(split_symbol_definition)).
% 0.15/0.55  fof(f7461,plain,(
% 0.15/0.55    ~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|spl0_85),
% 0.15/0.55    inference(component_clause,[status(thm)],[f7459])).
% 0.15/0.55  fof(f7462,plain,(
% 0.15/0.55    spl0_86 <=> ~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),
% 0.15/0.55    introduced(split_symbol_definition)).
% 0.15/0.55  fof(f7463,plain,(
% 0.15/0.55    ![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|~spl0_86)),
% 0.15/0.55    inference(component_clause,[status(thm)],[f7462])).
% 0.15/0.55  fof(f7465,plain,(
% 0.15/0.55    ![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)),
% 0.15/0.55    inference(resolution,[status(thm)],[f6554,f6565])).
% 0.15/0.55  fof(f7466,plain,(
% 0.15/0.55    ~spl0_85|spl0_86),
% 0.15/0.55    inference(split_clause,[status(thm)],[f7465,f7459,f7462])).
% 0.15/0.55  fof(f7479,plain,(
% 0.15/0.55    $false|spl0_85),
% 0.15/0.55    inference(forward_subsumption_resolution,[status(thm)],[f7461,f6563])).
% 0.15/0.55  fof(f7480,plain,(
% 0.15/0.55    spl0_85),
% 0.15/0.55    inference(contradiction_clause,[status(thm)],[f7479])).
% 0.15/0.55  fof(f7481,plain,(
% 0.15/0.55    v_A=v_Aa|~spl0_86),
% 0.15/0.55    inference(resolution,[status(thm)],[f7463,f6564])).
% 0.15/0.55  fof(f7484,plain,(
% 0.15/0.55    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_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)|~spl0_86),
% 0.15/0.55    inference(backward_demodulation,[status(thm)],[f7481,f6564])).
% 0.15/0.55  fof(f7485,plain,(
% 0.15/0.55    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_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)|~spl0_86),
% 0.15/0.55    inference(forward_demodulation,[status(thm)],[f7481,f7484])).
% 0.15/0.55  fof(f7760,plain,(
% 0.15/0.55    spl0_119 <=> ~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_Ba=X1),
% 0.15/0.55    introduced(split_symbol_definition)).
% 0.15/0.55  fof(f7761,plain,(
% 0.15/0.55    ![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_Ba=X1|~spl0_119)),
% 0.15/0.55    inference(component_clause,[status(thm)],[f7760])).
% 0.15/0.55  fof(f7763,plain,(
% 0.15/0.55    ![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_Ba=X1|~spl0_86)),
% 0.15/0.55    inference(resolution,[status(thm)],[f6556,f7485])).
% 0.15/0.55  fof(f7764,plain,(
% 0.15/0.55    ~spl0_85|spl0_119|~spl0_86),
% 0.15/0.55    inference(split_clause,[status(thm)],[f7763,f7459,f7760,f7462])).
% 0.15/0.55  fof(f8045,plain,(
% 0.15/0.55    spl0_123 <=> ~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_na=X2),
% 0.15/0.55    introduced(split_symbol_definition)).
% 0.15/0.55  fof(f8046,plain,(
% 0.15/0.55    ![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_na=X2|~spl0_123)),
% 0.15/0.55    inference(component_clause,[status(thm)],[f8045])).
% 0.15/0.55  fof(f8048,plain,(
% 0.15/0.55    ![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_na=X2)),
% 0.15/0.55    inference(resolution,[status(thm)],[f6558,f6565])).
% 0.15/0.55  fof(f8049,plain,(
% 0.15/0.55    ~spl0_85|spl0_123),
% 0.15/0.55    inference(split_clause,[status(thm)],[f8048,f7459,f8045])).
% 0.15/0.55  fof(f8078,plain,(
% 0.15/0.55    v_Ba=v_B|~spl0_119),
% 0.15/0.55    inference(resolution,[status(thm)],[f7761,f6565])).
% 0.15/0.55  fof(f8080,plain,(
% 0.15/0.55    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|~spl0_119|~spl0_86),
% 0.15/0.55    inference(backward_demodulation,[status(thm)],[f8078,f7485])).
% 0.99/0.59  fof(f8083,plain,(
% 0.99/0.59    v_na=c_Message_Omsg_ONonce(v_NA)|~spl0_119|~spl0_86|~spl0_123),
% 0.99/0.59    inference(resolution,[status(thm)],[f8080,f8046])).
% 0.99/0.59  fof(f8084,plain,(
% 0.99/0.59    $false|~spl0_119|~spl0_86|~spl0_123),
% 0.99/0.59    inference(forward_subsumption_resolution,[status(thm)],[f8083,f6568])).
% 0.99/0.59  fof(f8085,plain,(
% 0.99/0.59    ~spl0_119|~spl0_86|~spl0_123),
% 0.99/0.59    inference(contradiction_clause,[status(thm)],[f8084])).
% 0.99/0.59  fof(f8086,plain,(
% 0.99/0.59    $false),
% 0.99/0.59    inference(sat_refutation,[status(thm)],[f7466,f7480,f7764,f8049,f8085])).
% 0.99/0.59  % SZS output end CNFRefutation for theBenchmark.p
% 0.99/0.59  % Elapsed time: 0.283937 seconds
% 0.99/0.59  % CPU time: 1.003931 seconds
% 0.99/0.59  % Memory used: 181.365 MB
%------------------------------------------------------------------------------