%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV286-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:50:26 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV286-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:38:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (![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) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (![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(V_B,c_Event_Obad,tc_Message_Oagent)| c_in(c_Event_Oevent_OSays(V_B,c_Message_Oagent_OServer,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_OMPair(v_sko__vEb(V_A,V_B,V_NA,V_NB,V_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,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) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,negated_conjecture,(
% 0.09/0.40 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) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,negated_conjecture,(
% 0.09/0.40 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) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,negated_conjecture,(
% 0.09/0.40 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f6,negated_conjecture,(
% 0.09/0.40 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,negated_conjecture,(
% 0.09/0.40 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,negated_conjecture,(
% 0.09/0.40 (![V_V,V_U]: (~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(V_V,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_U,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) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,plain,(
% 0.09/0.40 ![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))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.40 fof(f10,plain,(
% 0.09/0.40 ![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))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f11,plain,(
% 0.09/0.40 ![V_evs,V_B,V_NA,V_A,V_NB]: (((~c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|(![V_K]: ~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(V_B,c_Event_Obad,tc_Message_Oagent))|c_in(c_Event_Oevent_OSays(V_B,c_Message_Oagent_OServer,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_OMPair(v_sko__vEb(V_A,V_B,V_NA,V_NB,V_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,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))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.40 fof(f12,plain,(
% 0.09/0.40 ![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(X1,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(v_sko__vEb(X3,X1,X2,X5,X0),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OAgent(X1)))))))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 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)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f14,plain,(
% 0.09/0.40 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)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f16,plain,(
% 0.09/0.40 ~c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 ![X0,X1]: (~c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X1,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))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f19,plain,(
% 0.09/0.40 ![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))),
% 0.09/0.40 inference(resolution,[status(thm)],[f10,f14])).
% 0.09/0.40 fof(f20,definition,(
% 0.09/0.40 sQ0_spl <=> (c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f22,plain,(
% 0.09/0.40 ~c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|sQ0_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f20])).
% 0.09/0.40 fof(f23,definition,(
% 0.09/0.40 ![X0,X1]: (sQ1_spl <=> (~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)))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f24,plain,(
% 0.09/0.40 ![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)|~sQ1_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f23])).
% 0.09/0.40 fof(f26,definition,(
% 0.09/0.40 sQ2_spl <=> (c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f27,plain,(
% 0.09/0.40 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~sQ2_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f26])).
% 0.09/0.40 fof(f29,plain,(
% 0.09/0.40 ~sQ0_spl|sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f19,f20,f23,f26])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 $false|~sQ2_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f27,f15])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 ~sQ2_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f30])).
% 0.09/0.40 fof(f32,plain,(
% 0.09/0.40 $false|sQ0_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f22,f17])).
% 0.09/0.40 fof(f33,plain,(
% 0.09/0.40 sQ0_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f32])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 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)|~sQ1_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f24,f13])).
% 0.09/0.40 fof(f35,plain,(
% 0.09/0.40 ~c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(v_B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_sko__vEb(v_A,v_B,v_NA,v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),v_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|~sQ1_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f34,f12])).
% 0.09/0.40 fof(f36,definition,(
% 0.09/0.40 sQ3_spl <=> (c_in(v_B,c_Event_Obad,tc_Message_Oagent))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 c_in(v_B,c_Event_Obad,tc_Message_Oagent)|~sQ3_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f36])).
% 0.09/0.40 fof(f39,definition,(
% 0.09/0.40 sQ4_spl <=> (c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_sko__vEb(v_A,v_B,v_NA,v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),v_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_sko__vEb(v_A,v_B,v_NA,v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),v_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)|~sQ4_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f39])).
% 0.09/0.40 fof(f42,plain,(
% 0.09/0.40 ~sQ0_spl|sQ3_spl|sQ4_spl|~sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f35,f20,f36,f39,f23])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 $false|~sQ3_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f37,f16])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ~sQ3_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f43])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 $false|~sQ4_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f40,f18])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 ~sQ4_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f45])).
% 0.09/0.40 fof(f47,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f29,f31,f33,f42,f44,f46])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.050812 seconds
% 0.14/0.42 % CPU time: 0.118863 seconds
% 0.14/0.42 % Total memory used: 17.769 MB
% 0.14/0.42 % Net memory used: 17.205 MB
%------------------------------------------------------------------------------