%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV318-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 02:50:31 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV318-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:46:14 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,axiom,(
% 0.15/0.41 (![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) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f2,axiom,(
% 0.15/0.41 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f3,axiom,(
% 0.15/0.41 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f4,axiom,(
% 0.15/0.41 (![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) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f5,axiom,(
% 0.15/0.41 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f6,axiom,(
% 0.15/0.41 (![V_X,V_H]: (( ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f7,axiom,(
% 0.15/0.41 (![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) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f8,axiom,(
% 0.15/0.41 (![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) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f9,axiom,(
% 0.15/0.41 (![V_a,V_A,T_a,V_b]: (( ~ c_in(V_a,V_A,T_a)| c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f10,negated_conjecture,(
% 0.15/0.41 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f11,negated_conjecture,(
% 0.15/0.41 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) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f12,negated_conjecture,(
% 0.15/0.41 ( 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) ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f13,negated_conjecture,(
% 0.15/0.41 ( ~ 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) ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f14,negated_conjecture,(
% 0.15/0.41 ( 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) ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f15,plain,(
% 0.15/0.41 ![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))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.41 fof(f16,plain,(
% 0.15/0.41 ![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))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.41 fof(f17,plain,(
% 0.15/0.41 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f2])).
% 0.15/0.41 fof(f18,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.41 fof(f19,plain,(
% 0.15/0.41 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f3])).
% 0.15/0.41 fof(f20,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.41 fof(f21,plain,(
% 0.15/0.41 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.41 fof(f22,plain,(
% 0.15/0.41 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.41 fof(f23,plain,(
% 0.15/0.41 ![X0,X1]: (~c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg))=c_Message_Oparts(X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.41 fof(f24,plain,(
% 0.15/0.41 ![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))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.41 fof(f25,plain,(
% 0.15/0.41 ![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)))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f8])).
% 0.15/0.41 fof(f26,plain,(
% 0.15/0.41 ![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))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.41 fof(f27,plain,(
% 0.15/0.41 ![V_a,V_A,T_a]: (~c_in(V_a,V_A,T_a)|(![V_b]: c_in(V_a,c_insert(V_b,V_A,T_a),T_a)))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f9])).
% 0.15/0.41 fof(f28,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.41 fof(f29,plain,(
% 0.15/0.41 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.41 fof(f30,plain,(
% 0.15/0.41 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)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.41 fof(f31,plain,(
% 0.15/0.41 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)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.41 fof(f32,plain,(
% 0.15/0.41 ~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)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.41 fof(f33,plain,(
% 0.15/0.41 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)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.41 fof(f34,definition,(
% 0.15/0.41 sQ0_spl <=> (c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f35,plain,(
% 0.15/0.41 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~sQ0_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f34])).
% 0.15/0.41 fof(f37,definition,(
% 0.15/0.41 sQ1_spl <=> (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))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f39,plain,(
% 0.15/0.41 ~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)|sQ1_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f37])).
% 0.15/0.41 fof(f40,plain,(
% 0.15/0.41 sQ0_spl|~sQ1_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f31,f34,f37])).
% 0.15/0.41 fof(f41,definition,(
% 0.15/0.41 sQ2_spl <=> (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))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f42,plain,(
% 0.15/0.41 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)|~sQ2_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f41])).
% 0.15/0.41 fof(f43,plain,(
% 0.15/0.41 ~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)|sQ2_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f41])).
% 0.15/0.41 fof(f44,plain,(
% 0.15/0.41 ~sQ0_spl|~sQ2_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f32,f34,f41])).
% 0.15/0.41 fof(f45,plain,(
% 0.15/0.41 sQ2_spl|sQ0_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f33,f41,f34])).
% 0.15/0.41 fof(f52,plain,(
% 0.15/0.41 ![X0]: (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)|~sQ0_spl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f26,f35])).
% 0.15/0.41 fof(f54,plain,(
% 0.15/0.41 ![X0,X1]: (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),tc_Message_Omsg)|~sQ0_spl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f52,f28])).
% 0.15/0.41 fof(f69,plain,(
% 0.15/0.41 ![X0,X1]: (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)|~sQ0_spl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f54,f21])).
% 0.15/0.41 fof(f81,plain,(
% 0.15/0.41 $false|~sQ0_spl|sQ2_spl),
% 0.15/0.41 inference(backward_subsumption_resolution,[status(thm)],[f43,f69])).
% 0.15/0.41 fof(f86,plain,(
% 0.15/0.41 ~sQ0_spl|sQ2_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f81])).
% 0.15/0.41 fof(f114,plain,(
% 0.15/0.41 ~c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(c_Event_Oevent_OSays(v_sko__usf(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))))),v_evs4),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)),
% 0.15/0.41 inference(resolution,[status(thm)],[f24,f30])).
% 0.15/0.41 fof(f115,definition,(
% 0.15/0.41 sQ3_spl <=> (c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f117,plain,(
% 0.15/0.41 ~c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|sQ3_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f115])).
% 0.15/0.41 fof(f118,definition,(
% 0.15/0.41 sQ4_spl <=> (c_in(c_Event_Oevent_OSays(v_sko__usf(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))))),v_evs4),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))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f119,plain,(
% 0.15/0.41 c_in(c_Event_Oevent_OSays(v_sko__usf(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))))),v_evs4),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)|~sQ4_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f118])).
% 0.15/0.42 fof(f121,plain,(
% 0.15/0.42 ~sQ3_spl|sQ4_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f114,f115,f118])).
% 0.15/0.42 fof(f122,plain,(
% 0.15/0.42 $false|sQ3_spl),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f117,f29])).
% 0.15/0.42 fof(f123,plain,(
% 0.15/0.42 sQ3_spl),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f122])).
% 0.15/0.42 fof(f164,plain,(
% 0.15/0.42 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)|~sQ4_spl),
% 0.15/0.42 inference(resolution,[status(thm)],[f119,f16])).
% 0.15/0.42 fof(f398,plain,(
% 0.15/0.42 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_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~sQ4_spl),
% 0.15/0.42 inference(resolution,[status(thm)],[f164,f21])).
% 0.15/0.42 fof(f400,plain,(
% 0.15/0.42 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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ4_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f22,f398])).
% 0.15/0.42 fof(f513,plain,(
% 0.15/0.42 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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ4_spl),
% 0.15/0.42 inference(resolution,[status(thm)],[f400,f18])).
% 0.15/0.42 fof(f1178,plain,(
% 0.15/0.42 c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ4_spl),
% 0.15/0.42 inference(resolution,[status(thm)],[f513,f20])).
% 0.15/0.42 fof(f1201,plain,(
% 0.15/0.42 c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg))=c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))|~sQ4_spl),
% 0.15/0.42 inference(resolution,[status(thm)],[f1178,f23])).
% 0.15/0.42 fof(f1357,plain,(
% 0.15/0.42 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)|~sQ4_spl|~sQ2_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f1201,f42])).
% 0.15/0.42 fof(f1382,plain,(
% 0.15/0.42 $false|sQ1_spl|~sQ4_spl|~sQ2_spl),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1357,f39])).
% 0.15/0.42 fof(f1383,plain,(
% 0.15/0.42 sQ1_spl|~sQ4_spl|~sQ2_spl),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f1382])).
% 0.15/0.42 fof(f1384,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(sat_refutation,[status(thm)],[f40,f44,f45,f86,f121,f123,f1383])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.076011 seconds
% 0.15/0.43 % CPU time: 0.348858 seconds
% 0.15/0.43 % Total memory used: 114.550 MB
% 0.15/0.43 % Net memory used: 113.919 MB
%------------------------------------------------------------------------------