TSTP Solution File: SWV287-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV287-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Tue Apr 30 20:46:32 EDT 2024
% Result : Unsatisfiable 90.00s 11.70s
% Output : CNFRefutation 91.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV287-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n031.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 Apr 30 01:22:58 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.34 % Drodi V3.6.0
% 90.00/11.70 % Refutation found
% 90.00/11.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 90.00/11.70 % SZS output start CNFRefutation for theBenchmark
% 90.00/11.70 fof(f1471,axiom,(
% 90.00/11.70 (![V_evs,V_B_H,V_A,V_NA,V_K,V_B]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(v_sko__u8o(V_A,V_B,V_K,V_NA,V_evs),c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 90.00/11.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 90.00/11.70 fof(f1473,axiom,(
% 90.00/11.70 (![V_evs,V_B,V_NA,V_A,V_K,V_NB]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_B,c_Event_Obad,tc_Message_Oagent)| c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 90.00/11.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 90.00/11.70 fof(f1474,negated_conjecture,(
% 90.00/11.70 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
% 90.00/11.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 90.00/11.70 fof(f1475,negated_conjecture,(
% 90.00/11.70 c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
% 90.00/11.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 90.00/11.70 fof(f1476,negated_conjecture,(
% 90.00/11.70 (![V_U]: (~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ))),
% 90.00/11.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 90.00/11.70 fof(f1477,negated_conjecture,(
% 90.00/11.70 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 90.00/11.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 90.00/11.70 fof(f1478,negated_conjecture,(
% 90.00/11.70 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
% 90.00/11.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 90.00/11.70 fof(f1479,negated_conjecture,(
% 90.00/11.70 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 90.00/11.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 90.00/11.70 fof(f1480,negated_conjecture,(
% 90.00/11.70 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
% 90.00/11.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 90.00/11.70 fof(f3104,plain,(
% 90.00/11.70 ![V_evs,V_A,V_NA,V_K,V_B]: ((((~c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|(![V_B_H]: ~c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|~c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|c_in(V_A,c_Event_Obad,tc_Message_Oagent))|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(v_sko__u8o(V_A,V_B,V_K,V_NA,V_evs),c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 90.00/11.71 inference(miniscoping,[status(esa)],[f1471])).
% 90.00/11.72 fof(f3105,plain,(
% 90.00/11.72 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OSays(X2,X5,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X5)))))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(v_sko__u8o(X2,X5,X4,X3,X0),c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 90.00/11.72 inference(cnf_transformation,[status(esa)],[f3104])).
% 90.00/11.72 fof(f3108,plain,(
% 90.00/11.72 ![V_evs,V_NA,V_K,V_NB]: ((![V_A]: ((![V_B]: (((~c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|~c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|c_in(V_B,c_Event_Obad,tc_Message_Oagent)))|c_in(V_A,c_Event_Obad,tc_Message_Oagent)))|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 90.00/11.72 inference(miniscoping,[status(esa)],[f1473])).
% 90.00/11.72 fof(f3109,plain,(
% 90.00/11.72 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent)|c_in(X3,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 90.00/11.72 inference(cnf_transformation,[status(esa)],[f3108])).
% 90.00/11.72 fof(f3110,plain,(
% 90.00/11.72 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
% 90.00/11.72 inference(cnf_transformation,[status(esa)],[f1474])).
% 90.00/11.72 fof(f3111,plain,(
% 90.00/11.72 c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
% 90.00/11.72 inference(cnf_transformation,[status(esa)],[f1475])).
% 90.00/11.72 fof(f3112,plain,(
% 90.00/11.72 ![X0]: (~c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 90.00/11.72 inference(cnf_transformation,[status(esa)],[f1476])).
% 90.00/11.72 fof(f3113,plain,(
% 90.00/11.72 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 90.00/11.72 inference(cnf_transformation,[status(esa)],[f1477])).
% 90.00/11.72 fof(f3114,plain,(
% 90.00/11.72 ~c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 90.00/11.72 inference(cnf_transformation,[status(esa)],[f1478])).
% 90.00/11.72 fof(f3115,plain,(
% 90.00/11.72 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 90.00/11.72 inference(cnf_transformation,[status(esa)],[f1479])).
% 90.00/11.72 fof(f3116,plain,(
% 90.00/11.72 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
% 90.00/11.72 inference(cnf_transformation,[status(esa)],[f1480])).
% 90.00/11.72 fof(f51570,plain,(
% 90.00/11.72 spl0_752 <=> c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 90.00/11.72 introduced(split_symbol_definition)).
% 90.00/11.72 fof(f51572,plain,(
% 90.00/11.72 ~c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|spl0_752),
% 90.00/11.72 inference(component_clause,[status(thm)],[f51570])).
% 90.00/11.72 fof(f51577,plain,(
% 90.00/11.72 $false|spl0_752),
% 90.00/11.72 inference(forward_subsumption_resolution,[status(thm)],[f51572,f3115])).
% 90.00/11.72 fof(f51578,plain,(
% 90.00/11.72 spl0_752),
% 90.00/11.72 inference(contradiction_clause,[status(thm)],[f51577])).
% 90.00/11.72 fof(f55826,plain,(
% 90.00/11.72 spl0_890 <=> ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(X0,c_Event_Obad,tc_Message_Oagent)|c_in(X2,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
% 90.00/11.72 introduced(split_symbol_definition)).
% 90.00/11.72 fof(f55827,plain,(
% 90.00/11.72 ![X0,X1,X2,X3]: (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(X0,c_Event_Obad,tc_Message_Oagent)|c_in(X2,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|~spl0_890)),
% 90.00/11.72 inference(component_clause,[status(thm)],[f55826])).
% 90.00/11.72 fof(f55829,plain,(
% 90.00/11.72 ![X0,X1,X2,X3]: (~c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(X0,c_Event_Obad,tc_Message_Oagent)|c_in(X2,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 90.00/11.72 inference(resolution,[status(thm)],[f3116,f3109])).
% 90.00/11.72 fof(f55830,plain,(
% 90.00/11.72 ~spl0_752|spl0_890),
% 90.00/11.72 inference(split_clause,[status(thm)],[f55829,f51570,f55826])).
% 90.00/11.72 fof(f56638,plain,(
% 90.00/11.72 spl0_911 <=> ~c_in(c_Event_Oevent_OSays(X0,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,X1,v_NA,v_evs),c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
% 90.00/11.72 introduced(split_symbol_definition)).
% 90.00/11.72 fof(f56639,plain,(
% 90.00/11.72 ![X0,X1]: (~c_in(c_Event_Oevent_OSays(X0,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,X1,v_NA,v_evs),c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|~spl0_911)),
% 90.00/11.72 inference(component_clause,[status(thm)],[f56638])).
% 90.00/11.72 fof(f56641,plain,(
% 90.00/11.72 spl0_912 <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 90.00/11.72 introduced(split_symbol_definition)).
% 90.00/11.72 fof(f56642,plain,(
% 90.00/11.72 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~spl0_912),
% 90.00/11.72 inference(component_clause,[status(thm)],[f56641])).
% 90.00/11.72 fof(f56644,plain,(
% 90.00/11.72 ![X0,X1]: (~c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(X0,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(v_A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,X1,v_NA,v_evs),c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 90.00/11.72 inference(resolution,[status(thm)],[f3105,f3110])).
% 90.00/11.72 fof(f56645,plain,(
% 90.00/11.72 ~spl0_752|spl0_911|spl0_912),
% 90.00/11.72 inference(split_clause,[status(thm)],[f56644,f51570,f56638,f56641])).
% 90.00/11.72 fof(f56655,plain,(
% 90.00/11.72 $false|~spl0_912),
% 90.00/11.72 inference(forward_subsumption_resolution,[status(thm)],[f56642,f3113])).
% 90.00/11.72 fof(f56656,plain,(
% 90.00/11.72 ~spl0_912),
% 90.00/11.72 inference(contradiction_clause,[status(thm)],[f56655])).
% 90.00/11.72 fof(f56657,plain,(
% 90.00/11.72 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|~spl0_911),
% 90.00/11.72 inference(resolution,[status(thm)],[f56639,f3111])).
% 90.00/11.72 fof(f56982,plain,(
% 90.00/11.72 spl0_929 <=> c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 90.00/11.72 introduced(split_symbol_definition)).
% 90.00/11.72 fof(f56983,plain,(
% 90.00/11.72 c_in(v_B,c_Event_Obad,tc_Message_Oagent)|~spl0_929),
% 90.00/11.72 inference(component_clause,[status(thm)],[f56982])).
% 90.00/11.72 fof(f56985,plain,(
% 90.00/11.72 spl0_930 <=> c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
% 90.00/11.72 introduced(split_symbol_definition)).
% 90.00/11.72 fof(f56986,plain,(
% 90.00/11.72 c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|~spl0_930),
% 90.00/11.72 inference(component_clause,[status(thm)],[f56985])).
% 90.00/11.72 fof(f56988,plain,(
% 91.18/11.85 c_in(v_B,c_Event_Obad,tc_Message_Oagent)|c_in(v_A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|~spl0_911|~spl0_890),
% 91.18/11.85 inference(resolution,[status(thm)],[f56657,f55827])).
% 91.18/11.85 fof(f56989,plain,(
% 91.18/11.85 spl0_929|spl0_912|spl0_930|~spl0_911|~spl0_890),
% 91.18/11.85 inference(split_clause,[status(thm)],[f56988,f56982,f56641,f56985,f56638,f55826])).
% 91.18/11.85 fof(f56991,plain,(
% 91.18/11.85 $false|~spl0_929),
% 91.18/11.85 inference(forward_subsumption_resolution,[status(thm)],[f56983,f3114])).
% 91.18/11.85 fof(f56992,plain,(
% 91.18/11.85 ~spl0_929),
% 91.18/11.85 inference(contradiction_clause,[status(thm)],[f56991])).
% 91.18/11.85 fof(f56993,plain,(
% 91.18/11.85 $false|~spl0_930),
% 91.18/11.85 inference(forward_subsumption_resolution,[status(thm)],[f56986,f3112])).
% 91.18/11.85 fof(f56994,plain,(
% 91.18/11.85 ~spl0_930),
% 91.18/11.85 inference(contradiction_clause,[status(thm)],[f56993])).
% 91.18/11.85 fof(f56995,plain,(
% 91.18/11.85 $false),
% 91.18/11.85 inference(sat_refutation,[status(thm)],[f51578,f55830,f56645,f56656,f56989,f56992,f56994])).
% 91.18/11.85 % SZS output end CNFRefutation for theBenchmark.p
% 91.96/11.96 % Elapsed time: 11.649878 seconds
% 91.96/11.96 % CPU time: 91.238366 seconds
% 91.96/11.96 % Total memory used: 933.615 MB
% 91.96/11.96 % Net memory used: 907.976 MB
%------------------------------------------------------------------------------