%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV313-2 : 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 : n016.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 02:50:30 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV313-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 % Computer : n016.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 08:44:54 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.49 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.50 fof(f1,negated_conjecture,(
% 0.20/0.50 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) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f2,negated_conjecture,(
% 0.20/0.50 ~ 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) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f3,negated_conjecture,(
% 0.20/0.50 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f4,negated_conjecture,(
% 0.20/0.50 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f5,negated_conjecture,(
% 0.20/0.50 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f6,negated_conjecture,(
% 0.20/0.50 c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f7,axiom,(
% 0.20/0.50 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f8,axiom,(
% 0.20/0.50 (![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) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f9,plain,(
% 0.20/0.50 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)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.20/0.50 fof(f10,plain,(
% 0.20/0.50 ~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)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f2])).
% 0.20/0.50 fof(f11,plain,(
% 0.20/0.50 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.20/0.50 fof(f12,plain,(
% 0.20/0.50 ~c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.20/0.50 fof(f13,plain,(
% 0.20/0.50 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.20/0.50 fof(f14,plain,(
% 0.20/0.50 c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f6])).
% 0.20/0.50 fof(f15,plain,(
% 0.20/0.50 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.20/0.50 fof(f16,plain,(
% 0.20/0.50 ![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))),
% 0.20/0.50 inference(miniscoping,[status(thm)],[f8])).
% 0.20/0.50 fof(f17,plain,(
% 0.20/0.50 ![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))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f16])).
% 0.20/0.50 fof(f18,plain,(
% 0.20/0.50 ![X0,X1,X2,X3,X4,X5]: (~c_in(c_Message_Omsg_OKey(X0),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)|~c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X0))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X0)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Event_Obad,tc_Message_Oagent)|c_in(X4,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X0)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))),
% 0.20/0.50 inference(resolution,[status(thm)],[f15,f17])).
% 0.20/0.50 fof(f19,plain,(
% 0.20/0.50 ![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))),
% 0.20/0.50 inference(resolution,[status(thm)],[f18,f14])).
% 0.20/0.50 fof(f20,definition,(
% 0.20/0.50 sQ0_spl <=> (c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)))),
% 0.20/0.50 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.20/0.50 fof(f22,plain,(
% 0.20/0.50 ~c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|sQ0_spl),
% 0.20/0.50 inference(component_clause,[status(thm)],[f20])).
% 0.20/0.50 fof(f23,definition,(
% 0.20/0.50 ![X0,X1,X2,X3]: (sQ1_spl <=> (~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)))),
% 0.20/0.51 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.20/0.51 fof(f24,plain,(
% 0.20/0.51 ![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)|~sQ1_spl)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f23])).
% 0.20/0.51 fof(f26,plain,(
% 0.20/0.51 ~sQ0_spl|sQ1_spl),
% 0.20/0.51 inference(split_clause,[status(thm)],[f19,f20,f23])).
% 0.20/0.51 fof(f27,plain,(
% 0.20/0.51 $false|sQ0_spl),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f22,f13])).
% 0.20/0.51 fof(f28,plain,(
% 0.20/0.51 sQ0_spl),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f27])).
% 0.20/0.51 fof(f29,plain,(
% 0.20/0.51 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)|~sQ1_spl),
% 0.20/0.51 inference(resolution,[status(thm)],[f24,f9])).
% 0.20/0.51 fof(f30,definition,(
% 0.20/0.51 sQ2_spl <=> (c_in(v_B,c_Event_Obad,tc_Message_Oagent))),
% 0.20/0.51 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.20/0.51 fof(f31,plain,(
% 0.20/0.51 c_in(v_B,c_Event_Obad,tc_Message_Oagent)|~sQ2_spl),
% 0.20/0.51 inference(component_clause,[status(thm)],[f30])).
% 0.20/0.51 fof(f33,definition,(
% 0.20/0.51 sQ3_spl <=> (c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.20/0.51 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.20/0.51 fof(f34,plain,(
% 0.20/0.51 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~sQ3_spl),
% 0.20/0.51 inference(component_clause,[status(thm)],[f33])).
% 0.20/0.51 fof(f36,definition,(
% 0.20/0.51 sQ4_spl <=> (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))),
% 0.20/0.51 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.20/0.51 fof(f37,plain,(
% 0.20/0.51 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)|~sQ4_spl),
% 0.20/0.51 inference(component_clause,[status(thm)],[f36])).
% 0.20/0.51 fof(f39,plain,(
% 0.20/0.51 sQ2_spl|sQ3_spl|sQ4_spl|~sQ1_spl),
% 0.20/0.51 inference(split_clause,[status(thm)],[f29,f30,f33,f36,f23])).
% 0.20/0.51 fof(f40,plain,(
% 0.20/0.51 $false|~sQ4_spl),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f37,f10])).
% 0.20/0.51 fof(f41,plain,(
% 0.20/0.51 ~sQ4_spl),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f40])).
% 0.20/0.51 fof(f42,plain,(
% 0.20/0.51 $false|~sQ2_spl),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f31,f12])).
% 0.20/0.52 fof(f43,plain,(
% 0.20/0.52 ~sQ2_spl),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f42])).
% 0.20/0.52 fof(f44,plain,(
% 0.20/0.52 $false|~sQ3_spl),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f34,f11])).
% 0.20/0.52 fof(f45,plain,(
% 0.20/0.52 ~sQ3_spl),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f44])).
% 0.20/0.52 fof(f46,plain,(
% 0.20/0.52 $false),
% 0.20/0.52 inference(sat_refutation,[status(thm)],[f26,f28,f39,f41,f43,f45])).
% 0.20/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.59 % Elapsed time: 0.104884 seconds
% 0.25/0.59 % CPU time: 0.061077 seconds
% 0.25/0.59 % Total memory used: 587.200 KB
% 0.25/0.59 % Net memory used: 586.832 KB
%------------------------------------------------------------------------------