%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV323-2 : 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 : 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 02:50:32 PM UTC 2026
% Result : Unsatisfiable 0.17s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV323-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n009.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 08:40:48 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.17/5.40 % Drodi V4.1.1
% 0.17/5.42 % Refutation found
% 0.17/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.42 % SZS output start CNFRefutation for theBenchmark
% 0.17/5.42 fof(f1,negated_conjecture,(
% 0.17/5.42 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f2,negated_conjecture,(
% 0.17/5.42 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) ),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f3,negated_conjecture,(
% 0.17/5.42 ( 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) ) ),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f4,negated_conjecture,(
% 0.17/5.42 ( ~ 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) ) ),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f5,negated_conjecture,(
% 0.17/5.42 ( 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) ) ),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f6,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f7,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f8,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f9,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f10,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f11,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f12,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f13,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f14,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f15,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f16,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f17,axiom,(
% 0.17/5.42 (![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) ) ))),
% 0.17/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.42 fof(f18,plain,(
% 0.17/5.42 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/5.42 fof(f19,plain,(
% 0.17/5.42 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)),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/5.42 fof(f20,plain,(
% 0.17/5.42 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)),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/5.42 fof(f21,plain,(
% 0.17/5.42 ~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)),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/5.42 fof(f22,plain,(
% 0.17/5.42 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)),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/5.42 fof(f23,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(miniscoping,[status(thm)],[f6])).
% 0.17/5.42 fof(f24,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.17/5.42 fof(f25,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(miniscoping,[status(thm)],[f7])).
% 0.17/5.42 fof(f26,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.17/5.42 fof(f27,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/5.42 fof(f28,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(miniscoping,[status(thm)],[f9])).
% 0.17/5.42 fof(f29,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.17/5.42 fof(f30,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(miniscoping,[status(thm)],[f10])).
% 0.17/5.42 fof(f31,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.17/5.42 fof(f32,plain,(
% 0.17/5.42 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/5.42 fof(f33,plain,(
% 0.17/5.42 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/5.42 fof(f34,plain,(
% 0.17/5.42 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/5.42 fof(f35,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/5.42 fof(f36,plain,(
% 0.17/5.42 ![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)))),
% 0.17/5.42 inference(miniscoping,[status(thm)],[f15])).
% 0.17/5.42 fof(f37,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.17/5.42 fof(f38,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(miniscoping,[status(thm)],[f16])).
% 0.17/5.42 fof(f39,plain,(
% 0.17/5.42 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.17/5.42 fof(f40,plain,(
% 0.17/5.42 ![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)))),
% 0.17/5.42 inference(miniscoping,[status(thm)],[f17])).
% 0.17/5.42 fof(f41,plain,(
% 0.17/5.42 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 0.17/5.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.17/5.42 fof(f42,definition,(
% 0.17/5.42 sQ0_spl <=> (c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.17/5.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/5.42 fof(f43,plain,(
% 0.17/5.42 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~sQ0_spl),
% 0.17/5.42 inference(component_clause,[status(thm)],[f42])).
% 0.17/5.42 fof(f45,definition,(
% 0.17/5.42 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))),
% 0.17/5.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/5.42 fof(f47,plain,(
% 0.17/5.42 ~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)|sQ1_spl),
% 0.17/5.42 inference(component_clause,[status(thm)],[f45])).
% 0.17/5.42 fof(f48,plain,(
% 0.17/5.42 sQ0_spl|~sQ1_spl),
% 0.17/5.42 inference(split_clause,[status(thm)],[f20,f42,f45])).
% 0.17/5.42 fof(f49,definition,(
% 0.17/5.42 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))),
% 0.17/5.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/5.42 fof(f50,plain,(
% 0.17/5.42 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),
% 0.17/5.42 inference(component_clause,[status(thm)],[f49])).
% 0.17/5.42 fof(f51,plain,(
% 0.17/5.42 ~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),
% 0.17/5.42 inference(component_clause,[status(thm)],[f49])).
% 0.17/5.42 fof(f52,plain,(
% 0.17/5.42 ~sQ0_spl|~sQ2_spl),
% 0.17/5.42 inference(split_clause,[status(thm)],[f21,f42,f49])).
% 0.17/5.42 fof(f53,plain,(
% 0.17/5.42 sQ2_spl|sQ0_spl),
% 0.17/5.42 inference(split_clause,[status(thm)],[f22,f49,f42])).
% 0.17/5.42 fof(f57,plain,(
% 0.17/5.42 ~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)|sQ2_spl),
% 0.17/5.42 inference(resolution,[status(thm)],[f51,f33])).
% 0.17/5.42 fof(f58,plain,(
% 0.17/5.42 ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)|sQ2_spl),
% 0.17/5.42 inference(resolution,[status(thm)],[f57,f41])).
% 0.17/5.42 fof(f59,plain,(
% 0.17/5.42 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)|sQ2_spl),
% 0.17/5.42 inference(resolution,[status(thm)],[f37,f58])).
% 0.17/5.42 fof(f60,plain,(
% 0.17/5.42 $false|~sQ0_spl|sQ2_spl),
% 0.17/5.42 inference(forward_subsumption_resolution,[status(thm)],[f59,f43])).
% 0.17/5.42 fof(f61,plain,(
% 0.17/5.42 ~sQ0_spl|sQ2_spl),
% 0.17/5.42 inference(contradiction_clause,[status(thm)],[f60])).
% 0.17/5.42 fof(f62,plain,(
% 0.17/5.42 ![X0,X1,X2]: (c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg))),
% 0.17/5.42 inference(resolution,[status(thm)],[f31,f34])).
% 0.17/5.42 fof(f65,plain,(
% 0.17/5.42 ![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))),
% 0.17/5.42 inference(resolution,[status(thm)],[f35,f24])).
% 0.17/5.42 fof(f66,plain,(
% 0.17/5.42 ~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)),
% 0.17/5.42 inference(resolution,[status(thm)],[f65,f19])).
% 0.17/5.42 fof(f67,definition,(
% 0.17/5.42 sQ3_spl <=> (c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)))),
% 0.17/5.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/5.42 fof(f69,plain,(
% 0.17/5.42 ~c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|sQ3_spl),
% 0.17/5.42 inference(component_clause,[status(thm)],[f67])).
% 0.17/5.42 fof(f70,definition,(
% 0.17/5.42 sQ4_spl <=> (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))),
% 0.17/5.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/5.42 fof(f71,plain,(
% 0.17/5.42 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),
% 0.17/5.42 inference(component_clause,[status(thm)],[f70])).
% 0.17/5.42 fof(f73,plain,(
% 0.17/5.42 ~sQ3_spl|sQ4_spl),
% 0.17/5.42 inference(split_clause,[status(thm)],[f66,f67,f70])).
% 0.17/5.42 fof(f74,plain,(
% 0.17/5.42 $false|sQ3_spl),
% 0.17/5.42 inference(forward_subsumption_resolution,[status(thm)],[f69,f18])).
% 0.17/5.42 fof(f75,plain,(
% 0.17/5.42 sQ3_spl),
% 0.17/5.42 inference(contradiction_clause,[status(thm)],[f74])).
% 0.17/5.42 fof(f76,plain,(
% 0.17/5.42 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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~sQ4_spl),
% 0.17/5.42 inference(resolution,[status(thm)],[f71,f62])).
% 0.17/5.42 fof(f82,plain,(
% 0.17/5.42 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~sQ4_spl),
% 0.17/5.42 inference(resolution,[status(thm)],[f76,f29])).
% 0.17/5.42 fof(f85,plain,(
% 0.17/5.42 ![X0]: (~c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)|~sQ4_spl)),
% 0.17/5.42 inference(resolution,[status(thm)],[f82,f26])).
% 0.17/5.42 fof(f91,plain,(
% 0.17/5.42 ![X0]: (~c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~sQ4_spl)),
% 0.17/5.42 inference(resolution,[status(thm)],[f85,f39])).
% 0.17/5.42 fof(f95,plain,(
% 0.17/5.42 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)|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)|~sQ4_spl|~sQ2_spl),
% 0.17/5.43 inference(resolution,[status(thm)],[f91,f50])).
% 0.17/5.43 fof(f97,definition,(
% 0.17/5.43 sQ5_spl <=> (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))),
% 0.17/5.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/5.43 fof(f98,plain,(
% 0.17/5.43 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)|~sQ5_spl),
% 0.17/5.43 inference(component_clause,[status(thm)],[f97])).
% 0.17/5.43 fof(f100,plain,(
% 0.17/5.43 sQ1_spl|sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.17/5.43 inference(split_clause,[status(thm)],[f95,f45,f97,f70,f49])).
% 0.17/5.43 fof(f101,plain,(
% 0.17/5.43 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)|~sQ5_spl),
% 0.17/5.43 inference(resolution,[status(thm)],[f98,f27])).
% 0.17/5.43 fof(f104,plain,(
% 0.17/5.43 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)|~sQ5_spl),
% 0.17/5.43 inference(resolution,[status(thm)],[f101,f32])).
% 0.17/5.43 fof(f105,plain,(
% 0.17/5.43 $false|sQ1_spl|~sQ5_spl),
% 0.17/5.43 inference(forward_subsumption_resolution,[status(thm)],[f104,f47])).
% 0.17/5.43 fof(f106,plain,(
% 0.17/5.43 sQ1_spl|~sQ5_spl),
% 0.17/5.43 inference(contradiction_clause,[status(thm)],[f105])).
% 0.17/5.43 fof(f107,plain,(
% 0.17/5.43 $false),
% 0.17/5.43 inference(sat_refutation,[status(thm)],[f48,f52,f53,f61,f73,f75,f100,f106])).
% 0.17/5.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/5.44 % Elapsed time: 0.047851 seconds
% 0.17/5.44 % CPU time: 0.161689 seconds
% 0.17/5.44 % Total memory used: 13.811 MB
% 0.17/5.44 % Net memory used: 13.646 MB
%------------------------------------------------------------------------------