TSTP Solution File: SWV798-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV798-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:49:20 EDT 2024
% Result : Unsatisfiable 59.08s 7.85s
% Output : CNFRefutation 60.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV798-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:52:43 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.39 % Drodi V3.6.0
% 59.08/7.85 % Refutation found
% 59.08/7.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 59.08/7.85 % SZS output start CNFRefutation for theBenchmark
% 59.08/7.85 fof(f36,axiom,(
% 59.08/7.85 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 59.08/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.08/7.85 fof(f367,axiom,(
% 59.08/7.85 (![V_X,V_H]: (( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)| ~ hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)) ) ))),
% 59.08/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.08/7.85 fof(f371,axiom,(
% 59.08/7.85 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 59.08/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.08/7.85 fof(f524,axiom,(
% 59.08/7.85 (![V_A,V_NA,V_B,V_K,V_X,V_evs]: (( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ))),
% 59.22/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.85 fof(f525,axiom,(
% 59.22/7.85 (![V_A,V_B,V_K,V_NB,V_evs,V_NA]: (( hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent)) ) ))),
% 59.22/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.85 fof(f533,axiom,(
% 59.22/7.85 (![V_X,V_H,V_Y]: (( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ))),
% 59.22/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.85 fof(f540,axiom,(
% 59.22/7.85 (![V_X,V_H]: (( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ))),
% 59.22/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.85 fof(f547,axiom,(
% 59.22/7.85 (![V_H]: (c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ))),
% 59.22/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.85 fof(f549,axiom,(
% 59.22/7.85 (![V_H]: (c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ))),
% 59.22/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.85 fof(f552,axiom,(
% 59.22/7.85 (![V_X,V_H,V_K]: (( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ))),
% 59.22/7.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.85 fof(f558,axiom,(
% 59.22/7.85 (![V_X,V_B,V_K,V_A,V_evs,V_NA]: (( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ))),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f572,axiom,(
% 59.22/7.86 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f573,axiom,(
% 59.22/7.86 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f591,negated_conjecture,(
% 59.22/7.86 ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f592,negated_conjecture,(
% 59.22/7.86 ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)) ),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f593,negated_conjecture,(
% 59.22/7.86 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f594,negated_conjecture,(
% 59.22/7.86 ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f595,negated_conjecture,(
% 59.22/7.86 hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f596,negated_conjecture,(
% 59.22/7.86 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f597,negated_conjecture,(
% 59.22/7.86 ~ hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) ),
% 59.22/7.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.22/7.86 fof(f671,plain,(
% 59.22/7.86 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f36])).
% 59.22/7.86 fof(f1128,plain,(
% 59.22/7.86 ![X0,X1]: (c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg))=c_Message_Oparts(X1)|~hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f367])).
% 59.22/7.86 fof(f1133,plain,(
% 59.22/7.86 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f371])).
% 59.22/7.86 fof(f1357,plain,(
% 59.22/7.86 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f524])).
% 59.22/7.86 fof(f1358,plain,(
% 59.22/7.86 ![V_B]: ((![V_evs]: ((![V_K]: ((![V_A]: ((![V_NB]: (hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))))|(![V_NA]: ~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))))|~hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))))|hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent)))),
% 59.22/7.86 inference(miniscoping,[status(esa)],[f525])).
% 59.22/7.86 fof(f1359,plain,(
% 59.22/7.86 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f1358])).
% 59.22/7.86 fof(f1371,plain,(
% 59.22/7.86 ![V_X,V_H]: (hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))|(![V_Y]: ~hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg))))),
% 59.22/7.86 inference(miniscoping,[status(esa)],[f533])).
% 59.22/7.86 fof(f1372,plain,(
% 59.22/7.86 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f1371])).
% 59.22/7.86 fof(f1382,plain,(
% 59.22/7.86 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,X1,tc_Message_Omsg)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f540])).
% 59.22/7.86 fof(f1392,plain,(
% 59.22/7.86 ![X0]: (c_Message_Oparts(c_Message_Oparts(X0))=c_Message_Oparts(X0))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f547])).
% 59.22/7.86 fof(f1394,plain,(
% 59.22/7.86 ![X0]: (c_Message_Oanalz(c_Message_Oparts(X0))=c_Message_Oparts(X0))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f549])).
% 59.22/7.86 fof(f1397,plain,(
% 59.22/7.86 ![V_X,V_H]: (hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))|(![V_K]: ~hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg))))),
% 59.22/7.86 inference(miniscoping,[status(esa)],[f552])).
% 59.22/7.86 fof(f1398,plain,(
% 59.22/7.86 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f1397])).
% 59.22/7.86 fof(f1407,plain,(
% 59.22/7.86 ![V_X,V_B,V_K,V_A,V_evs]: (((V_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))|~hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))|hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)))|(![V_NA]: ~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))))),
% 59.22/7.86 inference(miniscoping,[status(esa)],[f558])).
% 59.22/7.86 fof(f1408,plain,(
% 59.22/7.86 ![X0,X1,X2,X3,X4,X5]: (X0=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f1407])).
% 59.22/7.86 fof(f1425,plain,(
% 59.22/7.86 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 59.22/7.86 inference(miniscoping,[status(esa)],[f572])).
% 59.22/7.86 fof(f1426,plain,(
% 59.22/7.86 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f1425])).
% 59.22/7.86 fof(f1427,plain,(
% 59.22/7.86 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 59.22/7.86 inference(miniscoping,[status(esa)],[f573])).
% 59.22/7.86 fof(f1428,plain,(
% 59.22/7.86 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f1427])).
% 59.22/7.86 fof(f1451,plain,(
% 59.22/7.86 ~hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f591])).
% 59.22/7.86 fof(f1452,plain,(
% 59.22/7.86 ~hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f592])).
% 59.22/7.86 fof(f1453,plain,(
% 59.22/7.86 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f593])).
% 59.22/7.86 fof(f1454,plain,(
% 59.22/7.86 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f594])).
% 59.22/7.86 fof(f1455,plain,(
% 59.22/7.86 hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f595])).
% 59.22/7.86 fof(f1456,plain,(
% 59.22/7.86 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f596])).
% 59.22/7.86 fof(f1457,plain,(
% 59.22/7.86 ~hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 59.22/7.86 inference(cnf_transformation,[status(esa)],[f597])).
% 59.22/7.86 fof(f1581,plain,(
% 59.22/7.86 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X3)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1426,f1133])).
% 59.22/7.86 fof(f1584,plain,(
% 59.22/7.86 hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1428,f1455])).
% 59.22/7.86 fof(f1585,plain,(
% 59.22/7.86 hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1428,f1456])).
% 59.22/7.86 fof(f1586,plain,(
% 59.22/7.86 hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1428,f1453])).
% 59.22/7.86 fof(f1588,plain,(
% 59.22/7.86 ![X0]: (hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1586,f1426])).
% 59.22/7.86 fof(f1591,plain,(
% 59.22/7.86 ![X0]: (hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1585,f1426])).
% 59.22/7.86 fof(f1594,plain,(
% 59.22/7.86 ![X0]: (hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1584,f1426])).
% 59.22/7.86 fof(f1669,plain,(
% 59.22/7.86 ![X0,X1]: (~hBOOL(c_in(X0,X1,tc_Message_Omsg))|hBOOL(hAPP(c_Message_Oparts(X1),X0)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1382,f1428])).
% 59.22/7.86 fof(f1671,plain,(
% 59.22/7.86 ![X0,X1,X2]: (~hBOOL(c_in(X0,X1,tc_Message_Omsg))|hBOOL(c_in(X0,c_Message_Oparts(X1),X2)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1669,f1426])).
% 59.22/7.86 fof(f2600,plain,(
% 59.22/7.86 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,X2)),X3)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1671,f1581])).
% 59.22/7.86 fof(f5128,plain,(
% 59.22/7.86 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg))=c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1128,f1594])).
% 59.22/7.86 fof(f5129,plain,(
% 59.22/7.86 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg))=c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1128,f1591])).
% 59.22/7.86 fof(f10015,plain,(
% 59.22/7.86 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1357,f1588])).
% 59.22/7.86 fof(f10466,plain,(
% 59.22/7.86 spl0_45 <=> hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f10467,plain,(
% 59.22/7.86 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~spl0_45),
% 59.22/7.86 inference(component_clause,[status(thm)],[f10466])).
% 59.22/7.86 fof(f10469,plain,(
% 59.22/7.86 spl0_46 <=> hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f10470,plain,(
% 59.22/7.86 hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~spl0_46),
% 59.22/7.86 inference(component_clause,[status(thm)],[f10469])).
% 59.22/7.86 fof(f10472,plain,(
% 59.22/7.86 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 59.22/7.86 inference(resolution,[status(thm)],[f10015,f1594])).
% 59.22/7.86 fof(f10473,plain,(
% 59.22/7.86 spl0_45|spl0_46),
% 59.22/7.86 inference(split_clause,[status(thm)],[f10472,f10466,f10469])).
% 59.22/7.86 fof(f10474,plain,(
% 59.22/7.86 hBOOL(hAPP(c_List_Oset(v_evs,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))))|~spl0_45),
% 59.22/7.86 inference(resolution,[status(thm)],[f10467,f1428])).
% 59.22/7.86 fof(f10475,plain,(
% 59.22/7.86 ![X0]: (hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),X0))|~spl0_45)),
% 59.22/7.86 inference(resolution,[status(thm)],[f10474,f1426])).
% 59.22/7.86 fof(f10877,plain,(
% 59.22/7.86 $false|~spl0_46),
% 59.22/7.86 inference(forward_subsumption_resolution,[status(thm)],[f10470,f1451])).
% 59.22/7.86 fof(f10878,plain,(
% 59.22/7.86 ~spl0_46),
% 59.22/7.86 inference(contradiction_clause,[status(thm)],[f10877])).
% 59.22/7.86 fof(f17658,plain,(
% 59.22/7.86 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X0),X2,X3)),tc_Message_Omsg)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1398,f2600])).
% 59.22/7.86 fof(f17732,plain,(
% 59.22/7.86 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,X4)),tc_Message_Omsg)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f17658,f1372])).
% 59.22/7.86 fof(f18893,plain,(
% 59.22/7.86 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,X4))),X5)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f17732,f1671])).
% 59.22/7.86 fof(f18894,plain,(
% 59.22/7.86 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)),X3,X4)),X5)))),
% 59.22/7.86 inference(forward_demodulation,[status(thm)],[f1392,f18893])).
% 59.22/7.86 fof(f18923,plain,(
% 59.22/7.86 ![X0]: (hBOOL(c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0)))),
% 59.22/7.86 inference(paramodulation,[status(thm)],[f5129,f18894])).
% 59.22/7.86 fof(f18925,plain,(
% 59.22/7.86 ![X0]: (hBOOL(c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0)))),
% 59.22/7.86 inference(paramodulation,[status(thm)],[f5128,f18894])).
% 59.22/7.86 fof(f20362,plain,(
% 59.22/7.86 ![X0,X1,X2,X3,X4]: (X0=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))|hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)))),
% 59.22/7.86 inference(resolution,[status(thm)],[f1408,f1588])).
% 59.22/7.86 fof(f21694,plain,(
% 59.22/7.86 spl0_117 <=> v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f21695,plain,(
% 59.22/7.86 v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))|~spl0_117),
% 59.22/7.86 inference(component_clause,[status(thm)],[f21694])).
% 59.22/7.86 fof(f21697,plain,(
% 59.22/7.86 v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 59.22/7.86 inference(resolution,[status(thm)],[f20362,f1594])).
% 59.22/7.86 fof(f21698,plain,(
% 59.22/7.86 spl0_117|spl0_46),
% 59.22/7.86 inference(split_clause,[status(thm)],[f21697,f21694,f10469])).
% 59.22/7.86 fof(f22017,plain,(
% 59.22/7.86 spl0_118 <=> hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|~hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f22018,plain,(
% 59.22/7.86 ![X0,X1,X2]: (hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|~hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~spl0_118)),
% 59.22/7.86 inference(component_clause,[status(thm)],[f22017])).
% 59.22/7.86 fof(f22020,plain,(
% 59.22/7.86 spl0_119 <=> hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f22021,plain,(
% 59.22/7.86 hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))|~spl0_119),
% 59.22/7.86 inference(component_clause,[status(thm)],[f22020])).
% 59.22/7.86 fof(f22023,plain,(
% 59.22/7.86 ![X0,X1,X2]: (hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|~hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))|~spl0_117)),
% 59.22/7.86 inference(paramodulation,[status(thm)],[f21695,f1359])).
% 59.22/7.86 fof(f22024,plain,(
% 59.22/7.86 spl0_118|spl0_119|~spl0_117),
% 59.22/7.86 inference(split_clause,[status(thm)],[f22023,f22017,f22020,f21694])).
% 59.22/7.86 fof(f22445,plain,(
% 59.22/7.86 spl0_147 <=> hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f22446,plain,(
% 59.22/7.86 ![X0]: (hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|~spl0_147)),
% 59.22/7.86 inference(component_clause,[status(thm)],[f22445])).
% 59.22/7.86 fof(f22448,plain,(
% 59.22/7.86 spl0_148 <=> ~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f22449,plain,(
% 59.22/7.86 ![X0]: (~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~spl0_148)),
% 59.22/7.86 inference(component_clause,[status(thm)],[f22448])).
% 59.22/7.86 fof(f22451,plain,(
% 59.22/7.86 spl0_149 <=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f22452,plain,(
% 59.22/7.86 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|~spl0_149),
% 59.22/7.86 inference(component_clause,[status(thm)],[f22451])).
% 59.22/7.86 fof(f22454,plain,(
% 59.22/7.86 ![X0,X1]: (hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|~spl0_118)),
% 59.22/7.86 inference(resolution,[status(thm)],[f22018,f1588])).
% 59.22/7.86 fof(f22455,plain,(
% 59.22/7.86 spl0_147|spl0_148|spl0_149|~spl0_118),
% 59.22/7.86 inference(split_clause,[status(thm)],[f22454,f22445,f22448,f22451,f22017])).
% 59.22/7.86 fof(f22470,plain,(
% 59.22/7.86 $false|~spl0_119),
% 59.22/7.86 inference(forward_subsumption_resolution,[status(thm)],[f22021,f1452])).
% 59.22/7.86 fof(f22471,plain,(
% 59.22/7.86 ~spl0_119),
% 59.22/7.86 inference(contradiction_clause,[status(thm)],[f22470])).
% 59.22/7.86 fof(f22472,plain,(
% 59.22/7.86 $false|~spl0_149),
% 59.22/7.86 inference(forward_subsumption_resolution,[status(thm)],[f22452,f1454])).
% 59.22/7.86 fof(f22473,plain,(
% 59.22/7.86 ~spl0_149),
% 59.22/7.86 inference(contradiction_clause,[status(thm)],[f22472])).
% 59.22/7.86 fof(f33605,plain,(
% 59.22/7.86 spl0_262 <=> hBOOL(hAPP(X1,v_X))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f33606,plain,(
% 59.22/7.86 ![X0]: (hBOOL(hAPP(X0,v_X))|~spl0_262)),
% 59.22/7.86 inference(component_clause,[status(thm)],[f33605])).
% 59.22/7.86 fof(f33668,plain,(
% 59.22/7.86 hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))|~spl0_147),
% 59.22/7.86 inference(resolution,[status(thm)],[f22446,f1591])).
% 59.22/7.86 fof(f33669,plain,(
% 59.22/7.86 $false|~spl0_147),
% 59.22/7.86 inference(forward_subsumption_resolution,[status(thm)],[f33668,f1457])).
% 59.22/7.86 fof(f33670,plain,(
% 59.22/7.86 ~spl0_147),
% 59.22/7.86 inference(contradiction_clause,[status(thm)],[f33669])).
% 59.22/7.86 fof(f33921,plain,(
% 59.22/7.86 spl0_266 <=> hBOOL(c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f33923,plain,(
% 59.22/7.86 ~hBOOL(c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))|spl0_266),
% 59.22/7.86 inference(component_clause,[status(thm)],[f33921])).
% 59.22/7.86 fof(f33952,plain,(
% 59.22/7.86 ~hBOOL(c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|spl0_266),
% 59.22/7.86 inference(forward_demodulation,[status(thm)],[f1394,f33923])).
% 59.22/7.86 fof(f33953,plain,(
% 59.22/7.86 $false|spl0_266),
% 59.22/7.86 inference(forward_subsumption_resolution,[status(thm)],[f33952,f18923])).
% 59.22/7.86 fof(f33954,plain,(
% 59.22/7.86 spl0_266),
% 59.22/7.86 inference(contradiction_clause,[status(thm)],[f33953])).
% 59.22/7.86 fof(f34129,plain,(
% 59.22/7.86 spl0_270 <=> hBOOL(c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))),
% 59.22/7.86 introduced(split_symbol_definition)).
% 59.22/7.86 fof(f34131,plain,(
% 59.22/7.86 ~hBOOL(c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))|spl0_270),
% 59.22/7.86 inference(component_clause,[status(thm)],[f34129])).
% 59.22/7.86 fof(f34160,plain,(
% 59.22/7.86 ~hBOOL(c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|spl0_270),
% 60.18/8.02 inference(forward_demodulation,[status(thm)],[f1394,f34131])).
% 60.18/8.02 fof(f34161,plain,(
% 60.18/8.02 $false|spl0_270),
% 60.18/8.02 inference(forward_subsumption_resolution,[status(thm)],[f34160,f18925])).
% 60.18/8.02 fof(f34162,plain,(
% 60.18/8.02 spl0_270),
% 60.18/8.02 inference(contradiction_clause,[status(thm)],[f34161])).
% 60.18/8.02 fof(f34506,plain,(
% 60.18/8.02 $false|~spl0_262),
% 60.18/8.02 inference(resolution,[status(thm)],[f33606,f671])).
% 60.18/8.02 fof(f34507,plain,(
% 60.18/8.02 ~spl0_262),
% 60.18/8.02 inference(contradiction_clause,[status(thm)],[f34506])).
% 60.18/8.02 fof(f37027,plain,(
% 60.18/8.02 $false|~spl0_148|~spl0_45),
% 60.18/8.02 inference(resolution,[status(thm)],[f22449,f10475])).
% 60.18/8.02 fof(f37028,plain,(
% 60.18/8.02 ~spl0_148|~spl0_45),
% 60.18/8.02 inference(contradiction_clause,[status(thm)],[f37027])).
% 60.18/8.02 fof(f37029,plain,(
% 60.18/8.02 $false),
% 60.18/8.02 inference(sat_refutation,[status(thm)],[f10473,f10878,f21698,f22024,f22455,f22471,f22473,f33670,f33954,f34162,f34507,f37028])).
% 60.18/8.02 % SZS output end CNFRefutation for theBenchmark.p
% 61.07/8.08 % Elapsed time: 7.719822 seconds
% 61.07/8.08 % CPU time: 60.302052 seconds
% 61.07/8.08 % Total memory used: 1.160 GB
% 61.07/8.08 % Net memory used: 1.147 GB
%------------------------------------------------------------------------------