TSTP Solution File: SWV323-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV323-2 : TPTP v8.1.2. Released v3.2.0.
% 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 12:41:20 EDT 2023

% Result   : Unsatisfiable 0.09s 0.26s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.06  % Problem  : SWV323-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n026.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 11:54:28 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.09/0.26  % Drodi V3.5.1
% 0.09/0.26  % Refutation found
% 0.09/0.26  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.26  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.26  fof(f1,negated_conjecture,(
% 0.09/0.26    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f2,negated_conjecture,(
% 0.09/0.26    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f3,negated_conjecture,(
% 0.09/0.26    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ) ),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f4,negated_conjecture,(
% 0.09/0.26    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ) ),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f5,negated_conjecture,(
% 0.09/0.26    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f6,axiom,(
% 0.09/0.26    (![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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f7,axiom,(
% 0.09/0.26    (![V_Z,V_X,V_H]: (( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f8,axiom,(
% 0.09/0.26    (![V_K,V_H]: (( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f9,axiom,(
% 0.09/0.26    (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f10,axiom,(
% 0.09/0.26    (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f11,axiom,(
% 0.09/0.26    (![V_c,V_H]: (( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f12,axiom,(
% 0.09/0.26    (![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) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f13,axiom,(
% 0.09/0.26    (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f14,axiom,(
% 0.09/0.26    (![V_evs,V_B,V_X]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,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(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f15,axiom,(
% 0.09/0.26    (![V_A,V_evs]: (( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f16,axiom,(
% 0.09/0.26    (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,V_A,T_a) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f17,axiom,(
% 0.09/0.26    (![V_a,V_B,T_a,V_b]: (( ~ c_in(V_a,V_B,T_a)| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ))),
% 0.09/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26  fof(f18,plain,(
% 0.09/0.26    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f1])).
% 0.09/0.26  fof(f19,plain,(
% 0.09/0.26    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f2])).
% 0.09/0.26  fof(f20,plain,(
% 0.09/0.26    c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f3])).
% 0.09/0.26  fof(f21,plain,(
% 0.09/0.26    ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f4])).
% 0.09/0.26  fof(f22,plain,(
% 0.09/0.26    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.26  fof(f23,plain,(
% 0.09/0.26    ![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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))),
% 0.09/0.26    inference(miniscoping,[status(esa)],[f6])).
% 0.09/0.26  fof(f24,plain,(
% 0.09/0.26    ![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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f23])).
% 0.09/0.26  fof(f25,plain,(
% 0.09/0.26    ![V_Z,V_H]: ((![V_X]: (~c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)))|c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg))),
% 0.09/0.26    inference(miniscoping,[status(esa)],[f7])).
% 0.09/0.26  fof(f26,plain,(
% 0.09/0.26    ![X0,X1,X2]: (~c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f25])).
% 0.09/0.26  fof(f27,plain,(
% 0.09/0.26    ![X0,X1]: (~c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.26  fof(f28,plain,(
% 0.09/0.26    ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))),
% 0.09/0.26    inference(miniscoping,[status(esa)],[f9])).
% 0.09/0.26  fof(f29,plain,(
% 0.09/0.26    ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f28])).
% 0.09/0.26  fof(f30,plain,(
% 0.09/0.26    ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))),
% 0.09/0.26    inference(miniscoping,[status(esa)],[f10])).
% 0.09/0.26  fof(f31,plain,(
% 0.09/0.26    ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f30])).
% 0.09/0.26  fof(f32,plain,(
% 0.09/0.26    ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f11])).
% 0.09/0.26  fof(f33,plain,(
% 0.09/0.26    ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f12])).
% 0.09/0.26  fof(f34,plain,(
% 0.09/0.26    ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f13])).
% 0.09/0.26  fof(f35,plain,(
% 0.09/0.26    ![X0,X1,X2]: (~c_in(X0,c_OtwayRees_Ootway,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(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f14])).
% 0.09/0.26  fof(f36,plain,(
% 0.09/0.26    ![V_A]: (~c_in(V_A,c_Event_Obad,tc_Message_Oagent)|(![V_evs]: c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)))),
% 0.09/0.26    inference(miniscoping,[status(esa)],[f15])).
% 0.09/0.26  fof(f37,plain,(
% 0.09/0.26    ![X0,X1]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f36])).
% 0.09/0.26  fof(f38,plain,(
% 0.09/0.26    ![V_c,V_A,T_a]: ((![V_B]: (~c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)))|c_in(V_c,V_A,T_a))),
% 0.09/0.26    inference(miniscoping,[status(esa)],[f16])).
% 0.09/0.26  fof(f39,plain,(
% 0.09/0.26    ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f38])).
% 0.09/0.26  fof(f40,plain,(
% 0.09/0.26    ![V_a,V_B,T_a]: (~c_in(V_a,V_B,T_a)|(![V_b]: c_in(V_a,c_insert(V_b,V_B,T_a),T_a)))),
% 0.09/0.26    inference(miniscoping,[status(esa)],[f17])).
% 0.09/0.26  fof(f41,plain,(
% 0.09/0.26    ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 0.09/0.26    inference(cnf_transformation,[status(esa)],[f40])).
% 0.09/0.26  fof(f42,plain,(
% 0.09/0.26    spl0_0 <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.09/0.26    introduced(split_symbol_definition)).
% 0.09/0.26  fof(f45,plain,(
% 0.09/0.26    spl0_1 <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.09/0.26    introduced(split_symbol_definition)).
% 0.09/0.26  fof(f47,plain,(
% 0.09/0.26    ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|spl0_1),
% 0.09/0.26    inference(component_clause,[status(thm)],[f45])).
% 0.09/0.26  fof(f48,plain,(
% 0.09/0.26    spl0_0|~spl0_1),
% 0.09/0.26    inference(split_clause,[status(thm)],[f20,f42,f45])).
% 0.09/0.26  fof(f49,plain,(
% 0.09/0.26    spl0_2 <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.09/0.26    introduced(split_symbol_definition)).
% 0.09/0.26  fof(f51,plain,(
% 0.09/0.26    ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|spl0_2),
% 0.09/0.26    inference(component_clause,[status(thm)],[f49])).
% 0.09/0.26  fof(f52,plain,(
% 0.09/0.26    ~spl0_0|~spl0_2),
% 0.09/0.26    inference(split_clause,[status(thm)],[f21,f42,f49])).
% 0.09/0.26  fof(f53,plain,(
% 0.09/0.26    spl0_2|spl0_0),
% 0.09/0.26    inference(split_clause,[status(thm)],[f22,f49,f42])).
% 0.09/0.26  fof(f54,plain,(
% 0.09/0.26    ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))),
% 0.09/0.26    inference(resolution,[status(thm)],[f34,f31])).
% 0.09/0.26  fof(f56,plain,(
% 0.09/0.26    ![X0,X1,X2]: (~c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))),
% 0.09/0.26    inference(resolution,[status(thm)],[f26,f39])).
% 0.09/0.26  fof(f57,plain,(
% 0.09/0.26    ![X0,X1,X2]: (~c_in(X0,c_OtwayRees_Ootway,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))),
% 0.09/0.26    inference(resolution,[status(thm)],[f35,f24])).
% 0.09/0.26  fof(f58,plain,(
% 0.09/0.26    spl0_3 <=> c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 0.09/0.26    introduced(split_symbol_definition)).
% 0.09/0.26  fof(f60,plain,(
% 0.09/0.26    ~c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|spl0_3),
% 0.09/0.26    inference(component_clause,[status(thm)],[f58])).
% 0.09/0.26  fof(f61,plain,(
% 0.09/0.26    spl0_4 <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.09/0.26    introduced(split_symbol_definition)).
% 0.09/0.26  fof(f62,plain,(
% 0.09/0.26    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_4),
% 0.09/0.26    inference(component_clause,[status(thm)],[f61])).
% 0.09/0.26  fof(f64,plain,(
% 0.09/0.26    ~c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.09/0.26    inference(resolution,[status(thm)],[f57,f19])).
% 0.09/0.26  fof(f65,plain,(
% 0.09/0.26    ~spl0_3|spl0_4),
% 0.09/0.26    inference(split_clause,[status(thm)],[f64,f58,f61])).
% 0.09/0.26  fof(f66,plain,(
% 0.09/0.26    $false|spl0_3),
% 0.09/0.26    inference(forward_subsumption_resolution,[status(thm)],[f60,f18])).
% 0.09/0.26  fof(f67,plain,(
% 0.09/0.26    spl0_3),
% 0.09/0.26    inference(contradiction_clause,[status(thm)],[f66])).
% 0.09/0.26  fof(f68,plain,(
% 0.09/0.26    spl0_5 <=> ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)),
% 0.09/0.26    introduced(split_symbol_definition)).
% 0.09/0.26  fof(f69,plain,(
% 0.09/0.26    ![X0]: (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~spl0_5)),
% 0.09/0.26    inference(component_clause,[status(thm)],[f68])).
% 0.09/0.26  fof(f71,plain,(
% 0.09/0.26    spl0_6 <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)),
% 0.09/0.26    introduced(split_symbol_definition)).
% 0.09/0.26  fof(f72,plain,(
% 0.09/0.26    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~spl0_6),
% 0.09/0.26    inference(component_clause,[status(thm)],[f71])).
% 0.09/0.26  fof(f74,plain,(
% 0.09/0.26    ![X0]: (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|spl0_1)),
% 0.09/0.26    inference(resolution,[status(thm)],[f47,f56])).
% 0.09/0.26  fof(f75,plain,(
% 0.09/0.26    spl0_5|spl0_6|spl0_1),
% 0.09/0.26    inference(split_clause,[status(thm)],[f74,f68,f71,f45])).
% 0.09/0.26  fof(f77,plain,(
% 0.09/0.26    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_6),
% 0.09/0.26    inference(resolution,[status(thm)],[f72,f27])).
% 0.09/0.26  fof(f78,plain,(
% 0.09/0.26    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_6),
% 0.09/0.26    inference(resolution,[status(thm)],[f77,f32])).
% 0.09/0.26  fof(f87,plain,(
% 0.09/0.26    ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),tc_Message_Omsg)|spl0_2),
% 0.09/0.26    inference(resolution,[status(thm)],[f51,f33])).
% 0.09/0.26  fof(f88,plain,(
% 0.09/0.26    ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)|spl0_2),
% 0.09/0.26    inference(resolution,[status(thm)],[f87,f41])).
% 0.09/0.26  fof(f89,plain,(
% 0.09/0.26    ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)|spl0_2),
% 0.09/0.26    inference(resolution,[status(thm)],[f88,f37])).
% 0.09/0.26  fof(f90,plain,(
% 0.09/0.26    ~spl0_0|spl0_2),
% 0.09/0.26    inference(split_clause,[status(thm)],[f89,f42,f49])).
% 0.09/0.26  fof(f95,plain,(
% 0.09/0.26    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~spl0_4),
% 0.09/0.26    inference(resolution,[status(thm)],[f62,f54])).
% 0.09/0.26  fof(f100,plain,(
% 0.09/0.26    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~spl0_4),
% 0.09/0.26    inference(resolution,[status(thm)],[f95,f29])).
% 0.09/0.26  fof(f102,plain,(
% 0.09/0.26    ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|~spl0_4|~spl0_5),
% 0.09/0.26    inference(resolution,[status(thm)],[f100,f69])).
% 0.09/0.27  fof(f103,plain,(
% 0.09/0.27    ~spl0_2|~spl0_4|~spl0_5),
% 0.09/0.27    inference(split_clause,[status(thm)],[f102,f49,f61,f68])).
% 0.09/0.27  fof(f104,plain,(
% 0.09/0.27    $false|spl0_1|~spl0_6),
% 0.09/0.27    inference(forward_subsumption_resolution,[status(thm)],[f78,f47])).
% 0.09/0.27  fof(f105,plain,(
% 0.09/0.27    spl0_1|~spl0_6),
% 0.09/0.27    inference(contradiction_clause,[status(thm)],[f104])).
% 0.09/0.27  fof(f106,plain,(
% 0.09/0.27    $false),
% 0.09/0.27    inference(sat_refutation,[status(thm)],[f48,f52,f53,f65,f67,f75,f90,f103,f105])).
% 0.09/0.27  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.48  % Elapsed time: 0.011988 seconds
% 0.09/0.48  % CPU time: 0.012112 seconds
% 0.09/0.48  % Memory used: 609.092 KB
%------------------------------------------------------------------------------