%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV724-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:53:03 PM UTC 2026
% Result : Unsatisfiable 39.12s 5.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV724-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n020.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 09:22:17 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.47 % Drodi V4.1.1
% 39.12/5.52 % Refutation found
% 39.12/5.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 39.12/5.52 % SZS output start CNFRefutation for theBenchmark
% 39.12/5.52 fof(f5,axiom,(
% 39.12/5.52 (![V_X]: (hBOOL(c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f27,axiom,(
% 39.12/5.52 (![T_b]: (( ~ class_Orderings_Obot(T_b)| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f30,axiom,(
% 39.12/5.52 (![V_b,V_c,V_x,V_AA]: (( V_b = V_c| ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f32,axiom,(
% 39.12/5.52 (![V_x,V_xa,V_AA]: (( hBOOL(c_in(hAPP(c_Public_OpublicKey(V_x),V_xa),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat),tc_nat))| ~ hBOOL(c_in(V_xa,V_AA,tc_Message_Oagent)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f34,axiom,(
% 39.12/5.52 (![V_A,V_NA,V_B,V_KAB,V_evs2,V_A_H]: (( hBOOL(c_in(c_List_Olist_OCons(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_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat))| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))| ~ hBOOL(c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f35,axiom,(
% 39.12/5.52 (![V_B,V_A,V_K,V_NB,V_evs4,V_A_H]: (( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,V_B,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_evs4,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))| ~ hBOOL(c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f38,axiom,(
% 39.12/5.52 (![V_A,V_B,V_K,V_NB,V_evs5,V_S,V_NA,V_X,V_B_H]: (( hBOOL(c_in(c_List_Olist_OCons(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)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,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_evs5,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| ~ hBOOL(c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f40,axiom,(
% 39.12/5.52 (![V_X,V_A,V_evs]: (( hBOOL(c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg))| hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| V_A = c_Message_Oagent_OSpy| ~ hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f42,axiom,(
% 39.12/5.52 (![V_G,V_H]: (( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f49,axiom,(
% 39.12/5.52 (![T_a]: (c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f71,axiom,(
% 39.12/5.52 (![V_x,V_y,V_A,T_a]: (c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f78,axiom,(
% 39.12/5.52 (![V_G,V_H]: (( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f90,axiom,(
% 39.12/5.52 (![V_f,T_b,T_a]: (c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f105,axiom,(
% 39.12/5.52 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f106,axiom,(
% 39.12/5.52 (![T_a,V_y,V_x]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f131,axiom,(
% 39.12/5.52 (![V_x,V_B,T_a,V_A]: (( hBOOL(c_in(V_x,V_B,T_a))| ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f139,axiom,(
% 39.12/5.52 (![V_A,V_evs,V_e]: (c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(V_e,V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f141,axiom,(
% 39.12/5.52 c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f142,axiom,(
% 39.12/5.52 (![T_a,V_f,V_A,T_b]: (( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)| V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f154,axiom,(
% 39.12/5.52 (![T_a,V_A]: (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f155,axiom,(
% 39.12/5.52 (![T_a,V_x]: (( ~ class_Orderings_Obot(T_a)| c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f156,axiom,(
% 39.12/5.52 (![V_A,V_evs]: (c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f159,axiom,(
% 39.12/5.52 (![V_a,V_A,T_a]: (c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f163,axiom,(
% 39.12/5.52 (![V_A,V_x,V_y,T_a]: (( hBOOL(hAPP(V_A,V_x))| V_y = V_x| ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f171,axiom,(
% 39.12/5.52 (![V_B,V_a,T_a]: (c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f188,axiom,(
% 39.12/5.52 (![V_A,V_B,T_a,V_x]: (( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| ~ hBOOL(hAPP(V_A,V_x)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f191,axiom,(
% 39.12/5.52 (![V_A,V_X,V_evs]: (c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f192,axiom,(
% 39.12/5.52 (![T_a,V_x]: (( ~ class_Lattices_Obounded__lattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f193,axiom,(
% 39.12/5.52 (![T_a,V_x]: (( ~ class_Lattices_Obounded__lattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f196,axiom,(
% 39.12/5.52 (![V_X,V_H,V_G]: (( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| ~ hBOOL(c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f197,axiom,(
% 39.12/5.52 (![V_H]: (c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f199,axiom,(
% 39.12/5.52 hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f204,axiom,(
% 39.12/5.52 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f215,axiom,(
% 39.12/5.52 (![V_A,V_B,T_a]: (( V_A = V_B| ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f217,axiom,(
% 39.12/5.52 (![T_a,V_x,V_y]: (( ~ class_Orderings_Oorder(T_a)| V_x = V_y| ~ c_lessequals(V_y,V_x,T_a)| ~ c_lessequals(V_x,V_y,T_a) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f223,axiom,(
% 39.12/5.52 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x| ~ c_lessequals(V_y,V_x,T_a) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f224,axiom,(
% 39.12/5.52 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y| c_lessequals(V_x,V_y,T_a) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f225,axiom,(
% 39.12/5.52 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y| ~ c_lessequals(V_x,V_y,T_a) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f226,axiom,(
% 39.12/5.52 (![V_A,V_B,T_a]: (( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f253,axiom,(
% 39.12/5.52 (![V_A,V_B,V_X,V_evs3,V_NA,V_S,V_K]: (( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent)))| ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,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_evs3,tc_Event_Oevent),tc_Event_Oevent))| V_A = c_Message_Oagent_OServer| ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f255,axiom,(
% 39.12/5.52 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f258,axiom,(
% 39.12/5.52 (![V_G,V_H]: (( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f270,axiom,(
% 39.12/5.52 (![V_A,V_B,V_X,V_evs3,V_NA,V_S,V_K]: (( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,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_evs3,tc_Event_Oevent),tc_Event_Oevent))| V_A = c_Message_Oagent_OServer| ~ hBOOL(c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f274,axiom,(
% 39.12/5.52 (![V_x,V_t,T_a]: (c_List_Olist_OCons(V_x,V_t,T_a) != V_t ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f304,axiom,(
% 39.12/5.52 (![V_x,T_a]: (~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f315,axiom,(
% 39.12/5.52 (![V_a,V_A,T_a]: (( c_Set_Oinsert(V_a,V_A,T_a) = V_A| ~ hBOOL(c_in(V_a,V_A,T_a)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f357,axiom,(
% 39.12/5.52 (![V_N,V_B]: (~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f362,axiom,(
% 39.12/5.52 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f375,axiom,(
% 39.12/5.52 (![V_H]: (c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f378,axiom,(
% 39.12/5.52 (![V_A]: (c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f394,axiom,(
% 39.12/5.52 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| c_lessequals(V_x,V_x,T_a) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f407,axiom,(
% 39.12/5.52 (![V_NA,V_NB,V_K,V_evso,V_A,V_B,V_X]: (( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| ~ 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_evso,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f453,axiom,(
% 39.12/5.52 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f454,axiom,(
% 39.12/5.52 (![V_H,V_H_H,V_X]: (( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)| c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f457,axiom,(
% 39.12/5.52 (![V_H]: (c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f468,axiom,(
% 39.12/5.52 (![V_msg_H,V_nat]: (c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f482,axiom,(
% 39.12/5.52 (![V_nat]: (c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f499,axiom,(
% 39.12/5.52 (![V_A,V_X,V_evs]: (( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f505,axiom,(
% 39.12/5.52 (![V_Y,V_H,V_X]: (( hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f506,axiom,(
% 39.12/5.52 (![V_X,V_H]: (( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)| ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f508,axiom,(
% 39.12/5.52 (![V_c,V_a,V_G]: (( hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))| ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f518,axiom,(
% 39.12/5.52 (![V_B,V_X,V_evsf]: (( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))| ~ hBOOL(c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f519,axiom,(
% 39.12/5.52 (![V_A,V_X,V_evs]: (( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)| hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f520,axiom,(
% 39.12/5.52 hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f521,axiom,(
% 39.12/5.52 ~ hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f525,axiom,(
% 39.12/5.52 (![V_b,V_A,V_evs]: (( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))| ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f526,axiom,(
% 39.12/5.52 (![V_X,V_H,V_A]: (( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f530,axiom,(
% 39.12/5.52 (![V_A,V_evs]: (( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f531,axiom,(
% 39.12/5.52 (![V_A,V_evs]: (( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(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))) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f532,axiom,(
% 39.12/5.52 (![V_H]: (c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f533,axiom,(
% 39.12/5.52 (![V_X,V_H]: (( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f534,axiom,(
% 39.12/5.52 hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f536,axiom,(
% 39.12/5.52 (![V_A,V_evs]: (( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))| ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f537,axiom,(
% 39.12/5.52 (![V_A,V_evs]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f539,axiom,(
% 39.12/5.52 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f540,axiom,(
% 39.12/5.52 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f542,negated_conjecture,(
% 39.12/5.52 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f543,negated_conjecture,(
% 39.12/5.52 ( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f544,negated_conjecture,(
% 39.12/5.52 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f547,axiom,(
% 39.12/5.52 (![T_2,T_1]: (( class_Orderings_Opreorder(tc_fun(T_2,T_1))| ~ class_Orderings_Opreorder(T_1) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f549,axiom,(
% 39.12/5.52 (![T_2,T_1]: (( class_Orderings_Oorder(tc_fun(T_2,T_1))| ~ class_Orderings_Oorder(T_1) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f550,axiom,(
% 39.12/5.52 (![T_2,T_1]: (( class_Orderings_Obot(tc_fun(T_2,T_1))| ~ class_Orderings_Obot(T_1) ) ))),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f552,axiom,(
% 39.12/5.52 class_Lattices_Oupper__semilattice(tc_nat) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f553,axiom,(
% 39.12/5.52 class_Orderings_Opreorder(tc_nat) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f556,axiom,(
% 39.12/5.52 class_Orderings_Oorder(tc_nat) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f557,axiom,(
% 39.12/5.52 class_Orderings_Obot(tc_nat) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f559,axiom,(
% 39.12/5.52 class_Lattices_Oupper__semilattice(tc_bool) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f560,axiom,(
% 39.12/5.52 class_Lattices_Obounded__lattice(tc_bool) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f561,axiom,(
% 39.12/5.52 class_Orderings_Opreorder(tc_bool) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f563,axiom,(
% 39.12/5.52 class_Orderings_Oorder(tc_bool) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f564,axiom,(
% 39.12/5.52 class_Orderings_Obot(tc_bool) ),
% 39.12/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.12/5.52 fof(f573,plain,(
% 39.12/5.52 ![X0]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,tc_nat)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f5])).
% 39.12/5.52 fof(f599,plain,(
% 39.12/5.52 ![X0]: (~class_Orderings_Obot(X0)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X0)),v_x)=c_Orderings_Obot__class_Obot(X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f27])).
% 39.12/5.52 fof(f602,plain,(
% 39.12/5.52 ![V_b,V_c]: (V_b=V_c|(![V_x,V_AA]: ~hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f30])).
% 39.12/5.52 fof(f603,plain,(
% 39.12/5.52 ![X0,X1,X2,X3]: (X0=X1|~hBOOL(c_in(hAPP(c_Public_OpublicKey(X0),X2),c_Set_Oimage(c_Public_OpublicKey(X1),X3,tc_Message_Oagent,tc_nat),tc_nat)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f602])).
% 39.12/5.52 fof(f606,plain,(
% 39.12/5.52 ![V_xa,V_AA]: ((![V_x]: hBOOL(c_in(hAPP(c_Public_OpublicKey(V_x),V_xa),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat),tc_nat)))|~hBOOL(c_in(V_xa,V_AA,tc_Message_Oagent)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f32])).
% 39.12/5.52 fof(f607,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(c_in(hAPP(c_Public_OpublicKey(X0),X1),c_Set_Oimage(c_Public_OpublicKey(X0),X2,tc_Message_Oagent,tc_nat),tc_nat))|~hBOOL(c_in(X1,X2,tc_Message_Oagent)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f606])).
% 39.12/5.52 fof(f609,plain,(
% 39.12/5.52 ![V_evs2]: ((![V_KAB]: (((![V_A,V_NA,V_B]: (hBOOL(c_in(c_List_Olist_OCons(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_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|(![V_A_H]: ~hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent)))))|~hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat)))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))))|~hBOOL(c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f34])).
% 39.12/5.52 fof(f610,plain,(
% 39.12/5.52 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X0)))))))),X4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X5,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X1)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X3,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Event_Oused(X4),tc_Message_Omsg))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f609])).
% 39.12/5.52 fof(f611,plain,(
% 39.12/5.52 ![V_evs4]: ((![V_NB]: ((![V_K]: ((![V_B,V_A]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|(![V_A_H]: ~hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,V_B,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_evs4,tc_Event_Oevent),tc_Event_Oevent)))))|~hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))))|hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))))|~hBOOL(c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f35])).
% 39.12/5.52 fof(f612,plain,(
% 39.12/5.52 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),X4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X5,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X1)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(X4),tc_Message_Omsg))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f611])).
% 39.12/5.52 fof(f617,plain,(
% 39.12/5.52 ![V_evs5]: ((![V_K]: ((![V_A,V_NB]: ((![V_B]: (hBOOL(c_in(c_List_Olist_OCons(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)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|(![V_S,V_NA,V_X]: ~hBOOL(c_in(c_Event_Oevent_OSays(V_S,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_evs5,tc_Event_Oevent),tc_Event_Oevent)))))|(![V_B_H]: ~hBOOL(c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)))))|~hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))))|~hBOOL(c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f38])).
% 39.12/5.52 fof(f618,plain,(
% 39.12/5.52 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (hBOOL(c_in(c_List_Olist_OCons(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)))),X4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X5,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X7))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X8,X0,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))|~hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f617])).
% 39.12/5.52 fof(f621,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Event_OinitState(X1),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(X1,X0),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OGets(X1,X0),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OSays(X1,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X1,X0,X2),X0),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))|X1=c_Message_Oagent_OSpy|~hBOOL(c_in(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f40])).
% 39.12/5.52 fof(f624,plain,(
% 39.12/5.52 ![X0,X1]: (c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f42])).
% 39.12/5.52 fof(f634,plain,(
% 39.12/5.52 ![X0]: (c_List_Oset(c_List_Olist_ONil(X0),X0)=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f49])).
% 39.12/5.52 fof(f661,plain,(
% 39.12/5.52 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f71])).
% 39.12/5.52 fof(f671,plain,(
% 39.12/5.52 ![X0,X1]: (c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f78])).
% 39.12/5.52 fof(f686,plain,(
% 39.12/5.52 ![X0,X1,X2]: (c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f90])).
% 39.12/5.52 fof(f708,plain,(
% 39.12/5.52 ![T_a]: (~class_Lattices_Oupper__semilattice(T_a)|(![V_x,V_y]: c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f105])).
% 39.12/5.52 fof(f709,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f708])).
% 39.12/5.52 fof(f710,plain,(
% 39.12/5.52 ![T_a]: (~class_Lattices_Oupper__semilattice(T_a)|(![V_y,V_x]: c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f106])).
% 39.12/5.52 fof(f711,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f710])).
% 39.12/5.52 fof(f743,plain,(
% 39.12/5.52 ![V_x,V_B,T_a]: (hBOOL(c_in(V_x,V_B,T_a))|(![V_A]: ~c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f131])).
% 39.12/5.52 fof(f744,plain,(
% 39.12/5.52 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,X1,X2))|~c_lessequals(c_Set_Oinsert(X0,X3,X2),X1,tc_fun(X2,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f743])).
% 39.12/5.52 fof(f757,plain,(
% 39.12/5.52 ![X0,X1,X2]: (c_lessequals(c_Event_Oknows(X0,X1),c_Event_Oknows(X0,c_List_Olist_OCons(X2,X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f139])).
% 39.12/5.52 fof(f759,plain,(
% 39.12/5.52 c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f141])).
% 39.12/5.52 fof(f760,plain,(
% 39.12/5.52 ![V_A,T_b]: ((![T_a,V_f]: ~c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,V_A,T_b,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f142])).
% 39.12/5.52 fof(f761,plain,(
% 39.12/5.52 ![X0,X1,X2,X3]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oimage(X1,X2,X3,X0)|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f760])).
% 39.12/5.52 fof(f775,plain,(
% 39.12/5.52 ![X0,X1]: (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f154])).
% 39.12/5.52 fof(f776,plain,(
% 39.12/5.52 ![T_a]: (~class_Orderings_Obot(T_a)|(![V_x]: c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f155])).
% 39.12/5.52 fof(f777,plain,(
% 39.12/5.52 ![X0,X1]: (~class_Orderings_Obot(X0)|c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f776])).
% 39.12/5.52 fof(f778,plain,(
% 39.12/5.52 ![X0,X1]: (c_lessequals(c_Event_OinitState(X0),c_Event_Oknows(X0,X1),tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f156])).
% 39.12/5.52 fof(f781,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f159])).
% 39.12/5.52 fof(f787,plain,(
% 39.12/5.52 ![V_A,V_x,V_y]: ((hBOOL(hAPP(V_A,V_x))|V_y=V_x)|(![T_a]: ~hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f163])).
% 39.12/5.52 fof(f788,plain,(
% 39.12/5.52 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|X2=X1|~hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f787])).
% 39.12/5.52 fof(f797,plain,(
% 39.12/5.52 ![X0,X1,X2]: (c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f171])).
% 39.12/5.52 fof(f817,plain,(
% 39.12/5.52 ![V_A,V_x]: ((![V_B,T_a]: hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)))|~hBOOL(hAPP(V_A,V_x)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f188])).
% 39.12/5.52 fof(f818,plain,(
% 39.12/5.52 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3))|~hBOOL(hAPP(X0,X3)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f817])).
% 39.12/5.52 fof(f821,plain,(
% 39.12/5.52 ![X0,X1,X2]: (c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Set_Oinsert(X1,c_Event_Oknows(X0,X2),tc_Message_Omsg))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f191])).
% 39.12/5.52 fof(f822,plain,(
% 39.12/5.52 ![T_a]: (~class_Lattices_Obounded__lattice(T_a)|(![V_x]: c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f192])).
% 39.12/5.52 fof(f823,plain,(
% 39.12/5.52 ![X0,X1]: (~class_Lattices_Obounded__lattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X0),X0)=X1)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f822])).
% 39.12/5.52 fof(f824,plain,(
% 39.12/5.52 ![T_a]: (~class_Lattices_Obounded__lattice(T_a)|(![V_x]: c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f193])).
% 39.12/5.52 fof(f825,plain,(
% 39.12/5.52 ![X0,X1]: (~class_Lattices_Obounded__lattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X0),X1,X0)=X1)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f824])).
% 39.12/5.52 fof(f828,plain,(
% 39.12/5.52 ![V_X,V_G]: ((![V_H]: (hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))|~c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))))|~hBOOL(c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f196])).
% 39.12/5.52 fof(f829,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|~c_lessequals(X2,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f828])).
% 39.12/5.52 fof(f830,plain,(
% 39.12/5.52 ![X0]: (c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f197])).
% 39.12/5.52 fof(f832,plain,(
% 39.12/5.52 hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f199])).
% 39.12/5.52 fof(f838,plain,(
% 39.12/5.52 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f204])).
% 39.12/5.52 fof(f852,plain,(
% 39.12/5.52 ![X0,X1,X2]: (X0=X1|~c_lessequals(X1,X0,tc_fun(X2,tc_bool))|~c_lessequals(X0,X1,tc_fun(X2,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f215])).
% 39.12/5.52 fof(f854,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|X1=X2|~c_lessequals(X2,X1,X0)|~c_lessequals(X1,X2,X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f217])).
% 39.12/5.52 fof(f861,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X1|~c_lessequals(X2,X1,X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f223])).
% 39.12/5.52 fof(f862,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|~c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X2|c_lessequals(X1,X2,X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f224])).
% 39.12/5.52 fof(f863,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X2|~c_lessequals(X1,X2,X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f225])).
% 39.12/5.52 fof(f864,plain,(
% 39.12/5.52 ![X0,X1,X2]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool))=X1|~c_lessequals(X0,X1,tc_fun(X2,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f226])).
% 39.12/5.52 fof(f902,plain,(
% 39.12/5.52 ![V_evs3]: ((![V_A]: ((![V_B,V_X,V_NA]: ((hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)))|(![V_S,V_K]: ~hBOOL(c_in(c_Event_Oevent_OSays(V_S,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_evs3,tc_Event_Oevent),tc_Event_Oevent)))))|V_A=c_Message_Oagent_OServer))|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f253])).
% 39.12/5.52 fof(f903,plain,(
% 39.12/5.52 ![X0,X1,X2,X3,X4,X5,X6]: (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X5,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|X0=c_Message_Oagent_OServer|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X3)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f902])).
% 39.12/5.52 fof(f905,plain,(
% 39.12/5.52 ![T_a]: (~class_Lattices_Oupper__semilattice(T_a)|(![V_x,V_y]: c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f255])).
% 39.12/5.52 fof(f906,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f905])).
% 39.12/5.52 fof(f910,plain,(
% 39.12/5.52 ![X0,X1]: (c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f258])).
% 39.12/5.52 fof(f924,plain,(
% 39.12/5.52 ![V_evs3]: ((![V_A]: ((![V_B,V_X,V_NA]: ((hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)))|(![V_S,V_K]: ~hBOOL(c_in(c_Event_Oevent_OSays(V_S,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_evs3,tc_Event_Oevent),tc_Event_Oevent)))))|V_A=c_Message_Oagent_OServer))|~hBOOL(c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f270])).
% 39.12/5.52 fof(f925,plain,(
% 39.12/5.52 ![X0,X1,X2,X3,X4,X5,X6]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X5,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|X0=c_Message_Oagent_OServer|~hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f924])).
% 39.12/5.52 fof(f930,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~c_List_Olist_OCons(X0,X1,X2)=X1)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f274])).
% 39.12/5.52 fof(f973,plain,(
% 39.12/5.52 ![X0,X1]: (~hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f304])).
% 39.12/5.52 fof(f987,plain,(
% 39.12/5.52 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(c_in(X0,X1,X2)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f315])).
% 39.12/5.52 fof(f1045,plain,(
% 39.12/5.52 ![X0,X1]: (~hBOOL(c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Event_OinitState(X1)),tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f357])).
% 39.12/5.52 fof(f1052,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f362])).
% 39.12/5.52 fof(f1070,plain,(
% 39.12/5.52 ![X0]: (c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f375])).
% 39.12/5.52 fof(f1073,plain,(
% 39.12/5.52 ![X0]: (c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f378])).
% 39.12/5.52 fof(f1101,plain,(
% 39.12/5.52 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: c_lessequals(V_x,V_x,T_a)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f394])).
% 39.12/5.52 fof(f1102,plain,(
% 39.12/5.52 ![X0,X1]: (~class_Orderings_Oorder(X0)|c_lessequals(X1,X1,X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1101])).
% 39.12/5.52 fof(f1123,plain,(
% 39.12/5.52 ![V_evso]: ((![V_NB,V_K,V_A,V_B]: ((![V_NA]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|(![V_X]: ~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_evso,tc_Event_Oevent),tc_Event_Oevent)))))|~hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))))|~hBOOL(c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f407])).
% 39.12/5.52 fof(f1124,plain,(
% 39.12/5.52 ![X0,X1,X2,X3,X4,X5,X6]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),hAPP(c_Message_Omsg_OKey,X2)))),X3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X1))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1123])).
% 39.12/5.52 fof(f1191,plain,(
% 39.12/5.52 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f453])).
% 39.12/5.52 fof(f1192,plain,(
% 39.12/5.52 ![V_H,V_H_H]: (~c_Message_Oanalz(V_H)=c_Message_Oanalz(V_H_H)|(![V_X]: c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f454])).
% 39.12/5.52 fof(f1193,plain,(
% 39.12/5.52 ![X0,X1,X2]: (~c_Message_Oanalz(X0)=c_Message_Oanalz(X1)|c_Message_Oanalz(c_Set_Oinsert(X2,X0,tc_Message_Omsg))=c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1192])).
% 39.12/5.52 fof(f1196,plain,(
% 39.12/5.52 ![X0]: (c_Message_Oanalz(c_Message_Oparts(X0))=c_Message_Oparts(X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f457])).
% 39.12/5.52 fof(f1207,plain,(
% 39.12/5.52 ![X0,X1]: (~c_Message_Omsg_OHash(X0)=hAPP(c_Message_Omsg_OKey,X1))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f468])).
% 39.12/5.52 fof(f1224,plain,(
% 39.12/5.52 ![X0]: (~c_Message_Oagent_OFriend(X0)=c_Message_Oagent_OSpy)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f482])).
% 39.12/5.52 fof(f1244,plain,(
% 39.12/5.52 ![V_A]: ((![V_X,V_evs]: c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))|~hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f499])).
% 39.12/5.52 fof(f1245,plain,(
% 39.12/5.52 ![X0,X1,X2]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)|~hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1244])).
% 39.12/5.52 fof(f1254,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f505])).
% 39.12/5.52 fof(f1255,plain,(
% 39.12/5.52 ![X0,X1]: (c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))=c_Message_Oanalz(X1)|~hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f506])).
% 39.12/5.52 fof(f1258,plain,(
% 39.12/5.52 ![V_c,V_G]: ((![V_a]: hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)))|~hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f508])).
% 39.12/5.52 fof(f1259,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1258])).
% 39.12/5.52 fof(f1272,plain,(
% 39.12/5.52 ![V_evsf]: ((![V_X]: ((![V_B]: hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))|~hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))))|~hBOOL(c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f518])).
% 39.12/5.52 fof(f1273,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X0,X1),X2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg))|~hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1272])).
% 39.12/5.52 fof(f1274,plain,(
% 39.12/5.52 ![V_A]: ((![V_X,V_evs]: c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))|hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f519])).
% 39.12/5.52 fof(f1275,plain,(
% 39.12/5.52 ![X0,X1,X2]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)|hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1274])).
% 39.12/5.52 fof(f1276,plain,(
% 39.12/5.52 hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f520])).
% 39.12/5.52 fof(f1277,plain,(
% 39.12/5.52 ~hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f521])).
% 39.12/5.52 fof(f1281,plain,(
% 39.12/5.52 ![V_A]: ((![V_b,V_evs]: hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)))|~hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f525])).
% 39.12/5.52 fof(f1282,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))|~hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1281])).
% 39.12/5.52 fof(f1283,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X0),c_Message_Oanalz(X1),tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f526])).
% 39.12/5.52 fof(f1287,plain,(
% 39.12/5.52 ![V_evs]: ((![V_A]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|~hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))))|~hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f530])).
% 39.12/5.52 fof(f1288,plain,(
% 39.12/5.52 ![X0,X1]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1287])).
% 39.12/5.52 fof(f1289,plain,(
% 39.12/5.52 ![V_evs]: ((![V_A]: (hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(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))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f531])).
% 39.12/5.52 fof(f1290,plain,(
% 39.12/5.52 ![X0,X1]: (hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(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))))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1289])).
% 39.12/5.52 fof(f1291,plain,(
% 39.12/5.52 ![X0]: (c_Message_Oanalz(c_Message_Oanalz(X0))=c_Message_Oanalz(X0))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f532])).
% 39.12/5.52 fof(f1292,plain,(
% 39.12/5.52 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,X1,tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f533])).
% 39.12/5.52 fof(f1293,plain,(
% 39.12/5.52 hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f534])).
% 39.12/5.52 fof(f1295,plain,(
% 39.12/5.52 ![V_A]: ((![V_evs]: hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)))|~hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f536])).
% 39.12/5.52 fof(f1296,plain,(
% 39.12/5.52 ![X0,X1]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1295])).
% 39.12/5.52 fof(f1297,plain,(
% 39.12/5.52 ![X0,X1]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f537])).
% 39.12/5.52 fof(f1299,plain,(
% 39.12/5.52 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f539])).
% 39.12/5.52 fof(f1300,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1299])).
% 39.12/5.52 fof(f1301,plain,(
% 39.12/5.52 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f540])).
% 39.12/5.52 fof(f1302,plain,(
% 39.12/5.52 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1301])).
% 39.12/5.52 fof(f1304,plain,(
% 39.12/5.52 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f542])).
% 39.12/5.52 fof(f1305,plain,(
% 39.12/5.52 ~hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f543])).
% 39.12/5.52 fof(f1306,plain,(
% 39.12/5.52 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f544])).
% 39.12/5.52 fof(f1311,plain,(
% 39.12/5.52 ![T_1]: ((![T_2]: class_Orderings_Opreorder(tc_fun(T_2,T_1)))|~class_Orderings_Opreorder(T_1))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f547])).
% 39.12/5.52 fof(f1312,plain,(
% 39.12/5.52 ![X0,X1]: (class_Orderings_Opreorder(tc_fun(X0,X1))|~class_Orderings_Opreorder(X1))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1311])).
% 39.12/5.52 fof(f1315,plain,(
% 39.12/5.52 ![T_1]: ((![T_2]: class_Orderings_Oorder(tc_fun(T_2,T_1)))|~class_Orderings_Oorder(T_1))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f549])).
% 39.12/5.52 fof(f1316,plain,(
% 39.12/5.52 ![X0,X1]: (class_Orderings_Oorder(tc_fun(X0,X1))|~class_Orderings_Oorder(X1))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1315])).
% 39.12/5.52 fof(f1317,plain,(
% 39.12/5.52 ![T_1]: ((![T_2]: class_Orderings_Obot(tc_fun(T_2,T_1)))|~class_Orderings_Obot(T_1))),
% 39.12/5.52 inference(miniscoping,[status(thm)],[f550])).
% 39.12/5.52 fof(f1318,plain,(
% 39.12/5.52 ![X0,X1]: (class_Orderings_Obot(tc_fun(X0,X1))|~class_Orderings_Obot(X1))),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f1317])).
% 39.12/5.52 fof(f1321,plain,(
% 39.12/5.52 class_Lattices_Oupper__semilattice(tc_nat)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f552])).
% 39.12/5.52 fof(f1322,plain,(
% 39.12/5.52 class_Orderings_Opreorder(tc_nat)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f553])).
% 39.12/5.52 fof(f1325,plain,(
% 39.12/5.52 class_Orderings_Oorder(tc_nat)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f556])).
% 39.12/5.52 fof(f1326,plain,(
% 39.12/5.52 class_Orderings_Obot(tc_nat)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f557])).
% 39.12/5.52 fof(f1328,plain,(
% 39.12/5.52 class_Lattices_Oupper__semilattice(tc_bool)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f559])).
% 39.12/5.52 fof(f1329,plain,(
% 39.12/5.52 class_Lattices_Obounded__lattice(tc_bool)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f560])).
% 39.12/5.52 fof(f1330,plain,(
% 39.12/5.52 class_Orderings_Opreorder(tc_bool)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f561])).
% 39.12/5.52 fof(f1332,plain,(
% 39.12/5.52 class_Orderings_Oorder(tc_bool)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f563])).
% 39.12/5.52 fof(f1333,plain,(
% 39.12/5.52 class_Orderings_Obot(tc_bool)),
% 39.12/5.52 inference(cnf_transformation,[status(thm)],[f564])).
% 39.12/5.52 fof(f1338,definition,(
% 39.12/5.52 sQ0_spl <=> (hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.52 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 39.12/5.52 fof(f1339,plain,(
% 39.12/5.52 hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~sQ0_spl),
% 39.12/5.52 inference(component_clause,[status(thm)],[f1338])).
% 39.12/5.52 fof(f1340,plain,(
% 39.12/5.52 ~hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|sQ0_spl),
% 39.12/5.52 inference(component_clause,[status(thm)],[f1338])).
% 39.12/5.52 fof(f1341,definition,(
% 39.12/5.53 sQ1_spl <=> (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)))),
% 39.12/5.53 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 39.12/5.53 fof(f1342,plain,(
% 39.12/5.53 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|~sQ1_spl),
% 39.12/5.53 inference(component_clause,[status(thm)],[f1341])).
% 39.12/5.53 fof(f1343,plain,(
% 39.12/5.53 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|sQ1_spl),
% 39.12/5.53 inference(component_clause,[status(thm)],[f1341])).
% 39.12/5.53 fof(f1344,plain,(
% 39.12/5.53 ~sQ0_spl|~sQ1_spl),
% 39.12/5.53 inference(split_clause,[status(thm)],[f1305,f1338,f1341])).
% 39.12/5.53 fof(f1345,plain,(
% 39.12/5.53 sQ1_spl|sQ0_spl),
% 39.12/5.53 inference(split_clause,[status(thm)],[f1306,f1341,f1338])).
% 39.12/5.53 fof(f1353,plain,(
% 39.12/5.53 hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy))),
% 39.12/5.53 inference(resolution,[status(thm)],[f1302,f1293])).
% 39.12/5.54 fof(f1354,plain,(
% 39.12/5.54 hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))))|~sQ1_spl),
% 39.12/5.54 inference(resolution,[status(thm)],[f1302,f1342])).
% 39.12/5.54 fof(f1355,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(hAPP(c_Event_Oknows(X0,X1),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1302,f1297])).
% 39.12/5.54 fof(f1356,plain,(
% 39.12/5.54 hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1302,f1304])).
% 39.12/5.54 fof(f1357,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,X0)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1353,f1300])).
% 39.12/5.54 fof(f1358,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1356,f1300])).
% 39.12/5.54 fof(f1361,plain,(
% 39.12/5.54 ![X0,X1,X2]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),X2)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1355,f1300])).
% 39.12/5.54 fof(f1385,plain,(
% 39.12/5.54 ![X0,X1]: (~hBOOL(c_in(X0,X1,tc_Message_Omsg))|hBOOL(hAPP(c_Message_Oanalz(X1),X0)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1292,f1302])).
% 39.12/5.54 fof(f1387,plain,(
% 39.12/5.54 ![X0,X1,X2]: (~hBOOL(c_in(X0,X1,tc_Message_Omsg))|hBOOL(c_in(X0,c_Message_Oanalz(X1),X2)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1385,f1300])).
% 39.12/5.54 fof(f1392,plain,(
% 39.12/5.54 ![X0,X1,X2]: (~hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|hBOOL(c_in(X0,c_Message_Oanalz(X1),X2)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1291,f1387])).
% 39.12/5.54 fof(f1398,plain,(
% 39.12/5.54 ![X0,X1]: (c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))=c_Message_Oanalz(X1)|~hBOOL(c_in(X0,X1,tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1255,f1387])).
% 39.12/5.54 fof(f1401,plain,(
% 39.12/5.54 c_Message_Oanalz(c_Set_Oinsert(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Omsg))=c_Message_Oanalz(c_Event_Obad)),
% 39.12/5.54 inference(resolution,[status(thm)],[f1398,f1357])).
% 39.12/5.54 fof(f1406,plain,(
% 39.12/5.54 ![X0,X1]: (c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg))=c_Message_Oanalz(c_Message_Oanalz(X1))|~hBOOL(c_in(X0,X1,tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1398,f1387])).
% 39.12/5.54 fof(f1408,plain,(
% 39.12/5.54 ![X0,X1]: (c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg))=c_Message_Oanalz(X1)|~hBOOL(c_in(X0,X1,tc_Message_Omsg)))),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1291,f1406])).
% 39.12/5.54 fof(f1429,plain,(
% 39.12/5.54 c_Message_Oanalz(c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))=c_Message_Oanalz(c_Event_Obad)),
% 39.12/5.54 inference(resolution,[status(thm)],[f1408,f1357])).
% 39.12/5.54 fof(f1433,plain,(
% 39.12/5.54 c_Message_Oanalz(c_Set_Oinsert(v_evs,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),
% 39.12/5.54 inference(resolution,[status(thm)],[f1408,f1358])).
% 39.12/5.54 fof(f1453,plain,(
% 39.12/5.54 hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,c_List_Olist_ONil(tc_Event_Oevent)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1276,f1302])).
% 39.12/5.54 fof(f1454,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,X0)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1453,f1300])).
% 39.12/5.54 fof(f1457,plain,(
% 39.12/5.54 c_Message_Oanalz(c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),
% 39.12/5.54 inference(resolution,[status(thm)],[f1454,f1398])).
% 39.12/5.54 fof(f1473,plain,(
% 39.12/5.54 ![X0]: (hBOOL(hAPP(c_Message_OsymKeys,hAPP(c_Public_OshrK,X0))))),
% 39.12/5.54 inference(resolution,[status(thm)],[f573,f1302])).
% 39.12/5.54 fof(f1497,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1473,f1300])).
% 39.12/5.54 fof(f1500,plain,(
% 39.12/5.54 ![X0]: (c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_OsymKeys),tc_Message_Omsg))=c_Message_Oanalz(c_Message_OsymKeys))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1497,f1408])).
% 39.12/5.54 fof(f1501,plain,(
% 39.12/5.54 ![X0]: (c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,tc_Message_Omsg))=c_Message_Oanalz(c_Message_OsymKeys))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1497,f1398])).
% 39.12/5.54 fof(f1546,plain,(
% 39.12/5.54 ![X0,X1]: (~c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys))=c_Message_Oanalz(X0)|c_Message_Oanalz(c_Message_OsymKeys)=c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Public_OshrK,X1),X0,tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1500,f1193])).
% 39.12/5.54 fof(f1549,plain,(
% 39.12/5.54 ![X0]: (~c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))=c_Message_Oanalz(X0)|c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)=c_Message_Oanalz(c_Set_Oinsert(v_evs,X0,tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1433,f1193])).
% 39.12/5.54 fof(f1551,plain,(
% 39.12/5.54 ![X0]: (~c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad))=c_Message_Oanalz(X0)|c_Message_Oanalz(c_Event_Obad)=c_Message_Oanalz(c_Set_Oinsert(c_Message_Oagent_OSpy,X0,tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1429,f1193])).
% 39.12/5.54 fof(f1563,plain,(
% 39.12/5.54 ![X0,X1]: (~c_Message_Oanalz(c_Message_OsymKeys)=c_Message_Oanalz(X0)|c_Message_Oanalz(c_Message_OsymKeys)=c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Public_OshrK,X1),X0,tc_Message_Omsg)))),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1291,f1546])).
% 39.12/5.54 fof(f1564,plain,(
% 39.12/5.54 ![X0]: (~c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)=c_Message_Oanalz(X0)|c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)=c_Message_Oanalz(c_Set_Oinsert(v_evs,X0,tc_Message_Omsg)))),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1291,f1549])).
% 39.12/5.54 fof(f1565,plain,(
% 39.12/5.54 ![X0]: (~c_Message_Oanalz(c_Event_Obad)=c_Message_Oanalz(X0)|c_Message_Oanalz(c_Event_Obad)=c_Message_Oanalz(c_Set_Oinsert(c_Message_Oagent_OSpy,X0,tc_Message_Omsg)))),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1291,f1551])).
% 39.12/5.54 fof(f1570,plain,(
% 39.12/5.54 ~c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)=c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))|c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1433,f1564])).
% 39.12/5.54 fof(f1572,definition,(
% 39.12/5.54 sQ2_spl <=> (c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)=c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f1574,plain,(
% 39.12/5.54 ~c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)=c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))|sQ2_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f1572])).
% 39.12/5.54 fof(f1575,definition,(
% 39.12/5.54 sQ3_spl <=> (c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f1578,plain,(
% 39.12/5.54 ~sQ2_spl|sQ3_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f1570,f1572,f1575])).
% 39.12/5.54 fof(f1580,plain,(
% 39.12/5.54 ~c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)|sQ2_spl),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1291,f1574])).
% 39.12/5.54 fof(f1581,plain,(
% 39.12/5.54 $false|sQ2_spl),
% 39.12/5.54 inference(trivial_equality_resolution,[status(thm)],[f1580])).
% 39.12/5.54 fof(f1582,plain,(
% 39.12/5.54 sQ2_spl),
% 39.12/5.54 inference(contradiction_clause,[status(thm)],[f1581])).
% 39.12/5.54 fof(f1583,plain,(
% 39.12/5.54 ~c_Message_Oanalz(c_Event_Obad)=c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad))|c_Message_Oanalz(c_Event_Obad)=c_Message_Oanalz(c_Event_Obad)),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1429,f1565])).
% 39.12/5.54 fof(f1585,definition,(
% 39.12/5.54 sQ4_spl <=> (c_Message_Oanalz(c_Event_Obad)=c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f1587,plain,(
% 39.12/5.54 ~c_Message_Oanalz(c_Event_Obad)=c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad))|sQ4_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f1585])).
% 39.12/5.54 fof(f1588,definition,(
% 39.12/5.54 sQ5_spl <=> (c_Message_Oanalz(c_Event_Obad)=c_Message_Oanalz(c_Event_Obad))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f1591,plain,(
% 39.12/5.54 ~sQ4_spl|sQ5_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f1583,f1585,f1588])).
% 39.12/5.54 fof(f1593,plain,(
% 39.12/5.54 ~c_Message_Oanalz(c_Event_Obad)=c_Message_Oanalz(c_Event_Obad)|sQ4_spl),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1291,f1587])).
% 39.12/5.54 fof(f1594,plain,(
% 39.12/5.54 $false|sQ4_spl),
% 39.12/5.54 inference(trivial_equality_resolution,[status(thm)],[f1593])).
% 39.12/5.54 fof(f1595,plain,(
% 39.12/5.54 sQ4_spl),
% 39.12/5.54 inference(contradiction_clause,[status(thm)],[f1594])).
% 39.12/5.54 fof(f1714,plain,(
% 39.12/5.54 ~c_Message_Oanalz(c_Message_OsymKeys)=c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys))|c_Message_Oanalz(c_Message_OsymKeys)=c_Message_Oanalz(c_Message_OsymKeys)),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1500,f1563])).
% 39.12/5.54 fof(f1716,definition,(
% 39.12/5.54 sQ7_spl <=> (c_Message_Oanalz(c_Message_OsymKeys)=c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f1718,plain,(
% 39.12/5.54 ~c_Message_Oanalz(c_Message_OsymKeys)=c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys))|sQ7_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f1716])).
% 39.12/5.54 fof(f1719,definition,(
% 39.12/5.54 sQ8_spl <=> (c_Message_Oanalz(c_Message_OsymKeys)=c_Message_Oanalz(c_Message_OsymKeys))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f1722,plain,(
% 39.12/5.54 ~sQ7_spl|sQ8_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f1714,f1716,f1719])).
% 39.12/5.54 fof(f1724,plain,(
% 39.12/5.54 ~c_Message_Oanalz(c_Message_OsymKeys)=c_Message_Oanalz(c_Message_OsymKeys)|sQ7_spl),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1291,f1718])).
% 39.12/5.54 fof(f1725,plain,(
% 39.12/5.54 $false|sQ7_spl),
% 39.12/5.54 inference(trivial_equality_resolution,[status(thm)],[f1724])).
% 39.12/5.54 fof(f1726,plain,(
% 39.12/5.54 sQ7_spl),
% 39.12/5.54 inference(contradiction_clause,[status(thm)],[f1725])).
% 39.12/5.54 fof(f1744,plain,(
% 39.12/5.54 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X0,X2,tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1259,f1387])).
% 39.12/5.54 fof(f1759,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1744,f1454])).
% 39.12/5.54 fof(f1760,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1744,f1357])).
% 39.12/5.54 fof(f1761,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Set_Oinsert(X1,c_Message_OsymKeys,tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1744,f1497])).
% 39.12/5.54 fof(f1767,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1744,f1358])).
% 39.12/5.54 fof(f1772,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Omsg)),X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1760,f1392])).
% 39.12/5.54 fof(f1777,plain,(
% 39.12/5.54 hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1401,f1760])).
% 39.12/5.54 fof(f1784,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),X0)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1777,f1392])).
% 39.12/5.54 fof(f1785,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1777,f1744])).
% 39.12/5.54 fof(f1826,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg)),X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1767,f1392])).
% 39.12/5.54 fof(f1831,plain,(
% 39.12/5.54 hBOOL(c_in(v_evs,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1457,f1767])).
% 39.12/5.54 fof(f1841,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X0)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1831,f1392])).
% 39.12/5.54 fof(f1842,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1831,f1744])).
% 39.12/5.54 fof(f1911,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg)),X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1759,f1392])).
% 39.12/5.54 fof(f1916,plain,(
% 39.12/5.54 hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1457,f1759])).
% 39.12/5.54 fof(f1926,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X0)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1916,f1392])).
% 39.12/5.54 fof(f1927,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1916,f1744])).
% 39.12/5.54 fof(f2052,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg)),X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1842,f1392])).
% 39.12/5.54 fof(f2110,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Set_Oinsert(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg)),X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1785,f1392])).
% 39.12/5.54 fof(f2134,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1254,f1911])).
% 39.12/5.54 fof(f2135,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1254,f2110])).
% 39.12/5.54 fof(f2136,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1254,f1772])).
% 39.12/5.54 fof(f2138,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1254,f2052])).
% 39.12/5.54 fof(f2139,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1254,f1826])).
% 39.12/5.54 fof(f2143,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1457,f1254])).
% 39.12/5.54 fof(f2144,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_OsymKeys),tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1500,f1254])).
% 39.12/5.54 fof(f2150,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1433,f1254])).
% 39.12/5.54 fof(f2152,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1429,f1254])).
% 39.12/5.54 fof(f2153,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1401,f1254])).
% 39.12/5.54 fof(f2154,definition,(
% 39.12/5.54 sQ9_spl <=> (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2157,definition,(
% 39.12/5.54 ![X0]: (sQ10_spl <=> (~hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2158,plain,(
% 39.12/5.54 ![X0]: (~hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~sQ10_spl)),
% 39.12/5.54 inference(component_clause,[status(thm)],[f2157])).
% 39.12/5.54 fof(f2160,plain,(
% 39.12/5.54 sQ9_spl|sQ10_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2134,f2154,f2157])).
% 39.12/5.54 fof(f2161,definition,(
% 39.12/5.54 sQ11_spl <=> (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2164,definition,(
% 39.12/5.54 ![X0]: (sQ12_spl <=> (~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2165,plain,(
% 39.12/5.54 ![X0]: (~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))|~sQ12_spl)),
% 39.12/5.54 inference(component_clause,[status(thm)],[f2164])).
% 39.12/5.54 fof(f2167,plain,(
% 39.12/5.54 sQ11_spl|sQ12_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2135,f2161,f2164])).
% 39.12/5.54 fof(f2168,definition,(
% 39.12/5.54 sQ13_spl <=> (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2171,definition,(
% 39.12/5.54 ![X0]: (sQ14_spl <=> (~hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2172,plain,(
% 39.12/5.54 ![X0]: (~hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))|~sQ14_spl)),
% 39.12/5.54 inference(component_clause,[status(thm)],[f2171])).
% 39.12/5.54 fof(f2174,plain,(
% 39.12/5.54 sQ13_spl|sQ14_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2136,f2168,f2171])).
% 39.12/5.54 fof(f2179,definition,(
% 39.12/5.54 sQ16_spl <=> (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2182,definition,(
% 39.12/5.54 ![X0]: (sQ17_spl <=> (~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2183,plain,(
% 39.12/5.54 ![X0]: (~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~sQ17_spl)),
% 39.12/5.54 inference(component_clause,[status(thm)],[f2182])).
% 39.12/5.54 fof(f2185,plain,(
% 39.12/5.54 sQ16_spl|sQ17_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2138,f2179,f2182])).
% 39.12/5.54 fof(f2186,definition,(
% 39.12/5.54 sQ18_spl <=> (hBOOL(c_in(v_evs,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2189,plain,(
% 39.12/5.54 sQ18_spl|sQ10_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2139,f2186,f2157])).
% 39.12/5.54 fof(f2197,definition,(
% 39.12/5.54 ![X0]: (sQ21_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2200,definition,(
% 39.12/5.54 sQ22_spl <=> (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2204,definition,(
% 39.12/5.54 ![X0]: (sQ23_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2207,plain,(
% 39.12/5.54 sQ23_spl|~sQ9_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2143,f2204,f2154])).
% 39.12/5.54 fof(f2208,definition,(
% 39.12/5.54 ![X0]: (sQ24_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_OsymKeys),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2211,definition,(
% 39.12/5.54 ![X1]: (sQ25_spl <=> (~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2212,plain,(
% 39.12/5.54 ![X0]: (~hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg))|~sQ25_spl)),
% 39.12/5.54 inference(component_clause,[status(thm)],[f2211])).
% 39.12/5.54 fof(f2214,plain,(
% 39.12/5.54 sQ24_spl|sQ25_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2144,f2208,f2211])).
% 39.12/5.54 fof(f2237,plain,(
% 39.12/5.54 sQ21_spl|~sQ16_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2150,f2197,f2179])).
% 39.12/5.54 fof(f2239,definition,(
% 39.12/5.54 ![X0]: (sQ32_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2242,plain,(
% 39.12/5.54 sQ32_spl|~sQ11_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2152,f2239,f2161])).
% 39.12/5.54 fof(f2243,definition,(
% 39.12/5.54 ![X0]: (sQ33_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2246,plain,(
% 39.12/5.54 sQ33_spl|~sQ13_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2153,f2243,f2168])).
% 39.12/5.54 fof(f2247,plain,(
% 39.12/5.54 ![X0]: (~hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~sQ17_spl)),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1291,f2183])).
% 39.12/5.54 fof(f2248,plain,(
% 39.12/5.54 ![X0]: (~hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Obad),tc_Message_Omsg))|~sQ12_spl)),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1291,f2165])).
% 39.12/5.54 fof(f2252,plain,(
% 39.12/5.54 hBOOL(hAPP(c_Event_Obad,v_A))|~sQ0_spl),
% 39.12/5.54 inference(resolution,[status(thm)],[f1339,f1302])).
% 39.12/5.54 fof(f2253,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(v_A,c_Event_Obad,X0))|~sQ0_spl)),
% 39.12/5.54 inference(resolution,[status(thm)],[f2252,f1300])).
% 39.12/5.54 fof(f2260,plain,(
% 39.12/5.54 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg))|sQ1_spl),
% 39.12/5.54 inference(resolution,[status(thm)],[f1343,f1387])).
% 39.12/5.54 fof(f2275,plain,(
% 39.12/5.54 ![X0,X1,X2]: (~hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(X1)),X2)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1196,f1392])).
% 39.12/5.54 fof(f2295,plain,(
% 39.12/5.54 ![X0,X1,X2]: (~hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|hBOOL(c_in(X0,c_Message_Oparts(X1),X2)))),
% 39.12/5.54 inference(forward_demodulation,[status(thm)],[f1196,f2275])).
% 39.12/5.54 fof(f2334,plain,(
% 39.12/5.54 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_Orderings_Obot__class_Obot(tc_bool)),
% 39.12/5.54 inference(resolution,[status(thm)],[f599,f1333])).
% 39.12/5.54 fof(f2336,plain,(
% 39.12/5.54 $false|~sQ17_spl),
% 39.12/5.54 inference(resolution,[status(thm)],[f2247,f1926])).
% 39.12/5.54 fof(f2339,plain,(
% 39.12/5.54 ~sQ17_spl),
% 39.12/5.54 inference(contradiction_clause,[status(thm)],[f2336])).
% 39.12/5.54 fof(f2422,plain,(
% 39.12/5.54 $false|~sQ10_spl),
% 39.12/5.54 inference(resolution,[status(thm)],[f2158,f1926])).
% 39.12/5.54 fof(f2425,plain,(
% 39.12/5.54 ~sQ10_spl),
% 39.12/5.54 inference(contradiction_clause,[status(thm)],[f2422])).
% 39.12/5.54 fof(f2426,plain,(
% 39.12/5.54 $false|~sQ14_spl),
% 39.12/5.54 inference(resolution,[status(thm)],[f2172,f1784])).
% 39.12/5.54 fof(f2428,plain,(
% 39.12/5.54 ~sQ14_spl),
% 39.12/5.54 inference(contradiction_clause,[status(thm)],[f2426])).
% 39.12/5.54 fof(f2429,plain,(
% 39.12/5.54 $false|~sQ12_spl),
% 39.12/5.54 inference(resolution,[status(thm)],[f2248,f1784])).
% 39.12/5.54 fof(f2431,plain,(
% 39.12/5.54 ~sQ12_spl),
% 39.12/5.54 inference(contradiction_clause,[status(thm)],[f2429])).
% 39.12/5.54 fof(f2466,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_OsymKeys),tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1501,f1761])).
% 39.12/5.54 fof(f2480,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_OsymKeys),X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f2466,f1392])).
% 39.12/5.54 fof(f2490,plain,(
% 39.12/5.54 ![X0,X1]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OServer,X0),X1,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X1))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1275,f1277])).
% 39.12/5.54 fof(f2491,plain,(
% 39.12/5.54 ![X0,X1,X2,X3,X4]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X3),X4,tc_Event_Oevent))=c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1275,f1245])).
% 39.12/5.54 fof(f2492,plain,(
% 39.12/5.54 ![X0,X1,X2,X3]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)|hBOOL(c_in(hAPP(c_Public_OpublicKey(X3),X0),c_Set_Oimage(c_Public_OpublicKey(X3),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1275,f607])).
% 39.12/5.54 fof(f2495,plain,(
% 39.12/5.54 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),X4,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X4))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1282,f1275])).
% 39.12/5.54 fof(f2580,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1927,f1254])).
% 39.12/5.54 fof(f2591,plain,(
% 39.12/5.54 sQ22_spl|sQ17_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2580,f2200,f2182])).
% 39.12/5.54 fof(f2664,plain,(
% 39.12/5.54 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X3)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1052,f1300])).
% 39.12/5.54 fof(f2665,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X0,X1),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy))),tc_Message_Omsg))|~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1073,f1273])).
% 39.12/5.54 fof(f2669,definition,(
% 39.12/5.54 ![X0,X1]: (sQ38_spl <=> (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X0,X1),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy))),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2672,definition,(
% 39.12/5.54 sQ39_spl <=> (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2674,plain,(
% 39.12/5.54 ~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|sQ39_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f2672])).
% 39.12/5.54 fof(f2675,plain,(
% 39.12/5.54 sQ38_spl|~sQ39_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2665,f2669,f2672])).
% 39.12/5.54 fof(f2684,plain,(
% 39.12/5.54 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=X0)),
% 39.12/5.54 inference(resolution,[status(thm)],[f823,f1329])).
% 39.12/5.54 fof(f2688,plain,(
% 39.12/5.54 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),X0,tc_bool)=X0)),
% 39.12/5.54 inference(resolution,[status(thm)],[f825,f1329])).
% 39.12/5.54 fof(f2755,plain,(
% 39.12/5.54 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f2664,f1744])).
% 39.12/5.54 fof(f2757,plain,(
% 39.12/5.54 ![X0,X1,X2]: (c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),tc_Message_Omsg))=c_Message_Oanalz(c_Set_Oinsert(X0,X1,X2)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f2664,f1398])).
% 39.12/5.54 fof(f2790,plain,(
% 39.12/5.54 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),tc_Message_Omsg)),X4)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f2755,f1392])).
% 39.12/5.54 fof(f2794,plain,(
% 39.12/5.54 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),tc_Message_Omsg)),X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f2755,f1302])).
% 39.12/5.54 fof(f2831,plain,(
% 39.12/5.54 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,X2)),X3)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f2757,f2790])).
% 39.12/5.54 fof(f2832,plain,(
% 39.12/5.54 ![X0,X1,X2]: (hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X0,X1,X2)),X0)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f2757,f2794])).
% 39.12/5.54 fof(f2862,plain,(
% 39.12/5.54 ![X0,X1,X2,X3]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(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)))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X2),X3,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X3))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1288,f1275])).
% 39.12/5.54 fof(f2865,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1290,f1358])).
% 39.12/5.54 fof(f2872,plain,(
% 39.12/5.54 ![X0,X1]: (c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_bool),tc_bool))),
% 39.12/5.54 inference(resolution,[status(thm)],[f709,f1328])).
% 39.12/5.54 fof(f2874,plain,(
% 39.12/5.54 ![X0]: (c_lessequals(c_Orderings_Obot__class_Obot(tc_bool),X0,tc_bool))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f2688,f2872])).
% 39.12/5.54 fof(f2880,plain,(
% 39.12/5.54 ![X0,X1]: (c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_nat),tc_nat))),
% 39.12/5.54 inference(resolution,[status(thm)],[f711,f1321])).
% 39.12/5.54 fof(f2902,plain,(
% 39.12/5.54 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Event_OinitState(X2),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|X2=c_Message_Oagent_OSpy|~hBOOL(c_in(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Event_Oknows(X2,X3),tc_Message_Omsg))|hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),hAPP(c_Message_Omsg_OKey,X0)))),X3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),X3)),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),X5))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.54 inference(resolution,[status(thm)],[f621,f1124])).
% 39.12/5.54 fof(f2910,plain,(
% 39.12/5.54 ![X0]: (c_lessequals(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))|~class_Orderings_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f624,f777])).
% 39.12/5.54 fof(f2915,plain,(
% 39.12/5.54 ![X0]: (c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))|~class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f624,f1102])).
% 39.12/5.54 fof(f2916,definition,(
% 39.12/5.54 ![X0]: (sQ43_spl <=> (c_lessequals(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2919,definition,(
% 39.12/5.54 sQ44_spl <=> (class_Orderings_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2921,plain,(
% 39.12/5.54 ~class_Orderings_Obot(tc_fun(tc_Message_Omsg,tc_bool))|sQ44_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f2919])).
% 39.12/5.54 fof(f2922,plain,(
% 39.12/5.54 sQ43_spl|~sQ44_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2910,f2916,f2919])).
% 39.12/5.54 fof(f2924,definition,(
% 39.12/5.54 ![X0]: (sQ45_spl <=> (c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2927,definition,(
% 39.12/5.54 sQ46_spl <=> (class_Orderings_Opreorder(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2929,plain,(
% 39.12/5.54 ~class_Orderings_Opreorder(tc_fun(tc_Message_Omsg,tc_bool))|sQ46_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f2927])).
% 39.12/5.54 fof(f2931,definition,(
% 39.12/5.54 sQ47_spl <=> (class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f2933,plain,(
% 39.12/5.54 ~class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool))|sQ47_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f2931])).
% 39.12/5.54 fof(f2934,plain,(
% 39.12/5.54 sQ45_spl|~sQ47_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f2915,f2924,f2931])).
% 39.12/5.54 fof(f3134,plain,(
% 39.12/5.54 ![X0,X1,X2,X3]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X2),X3,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X3))),
% 39.12/5.54 inference(resolution,[status(thm)],[f1296,f1275])).
% 39.12/5.54 fof(f3234,plain,(
% 39.12/5.54 ![X0,X1,X2,X3,X4,X5,X6,X7]: (hBOOL(c_in(c_List_Olist_OCons(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_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X7,X0,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))|~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f634,f618])).
% 39.12/5.54 fof(f3235,plain,(
% 39.12/5.54 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X1)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))|~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f634,f612])).
% 39.12/5.54 fof(f3236,plain,(
% 39.12/5.54 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X0)))))))),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X1)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(X3,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))|~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f634,f610])).
% 39.12/5.54 fof(f3238,plain,(
% 39.12/5.54 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),hAPP(c_Message_Omsg_OKey,X2)))),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X5))))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f634,f1124])).
% 39.12/5.54 fof(f3239,plain,(
% 39.12/5.54 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X3)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X2))))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|X0=c_Message_Oagent_OServer|~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f634,f925])).
% 39.12/5.54 fof(f3242,definition,(
% 39.12/5.54 ![X0,X1,X2,X3,X4,X5,X6,X7]: (sQ48_spl <=> (hBOOL(c_in(c_List_Olist_OCons(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_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X7,X0,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f3245,plain,(
% 39.12/5.54 sQ48_spl|~sQ39_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f3234,f3242,f2672])).
% 39.12/5.54 fof(f3246,definition,(
% 39.12/5.54 ![X0,X1,X2,X3,X4]: (sQ49_spl <=> (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X1)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f3249,plain,(
% 39.12/5.54 sQ49_spl|~sQ39_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f3235,f3246,f2672])).
% 39.12/5.54 fof(f3250,definition,(
% 39.12/5.54 ![X0,X1,X2,X3,X4]: (sQ50_spl <=> (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X0)))))))),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X1)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(X3,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f3253,plain,(
% 39.12/5.54 sQ50_spl|~sQ39_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f3236,f3250,f2672])).
% 39.12/5.54 fof(f3255,definition,(
% 39.12/5.54 ![X0,X1,X2,X3,X4,X5]: (sQ51_spl <=> (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),hAPP(c_Message_Omsg_OKey,X2)))),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X5))))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f3258,plain,(
% 39.12/5.54 sQ51_spl|~sQ39_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f3238,f3255,f2672])).
% 39.12/5.54 fof(f3259,definition,(
% 39.12/5.54 ![X0,X1,X2,X3,X4,X5]: (sQ52_spl <=> (hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X3)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X2))))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|X0=c_Message_Oagent_OServer))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f3262,plain,(
% 39.12/5.54 sQ52_spl|~sQ39_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f3239,f3259,f2672])).
% 39.12/5.54 fof(f3263,plain,(
% 39.12/5.54 $false|sQ39_spl),
% 39.12/5.54 inference(forward_subsumption_resolution,[status(thm)],[f2674,f1454])).
% 39.12/5.54 fof(f3264,plain,(
% 39.12/5.54 sQ39_spl),
% 39.12/5.54 inference(contradiction_clause,[status(thm)],[f3263])).
% 39.12/5.54 fof(f3502,plain,(
% 39.12/5.54 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_nat))),
% 39.12/5.54 inference(resolution,[status(thm)],[f906,f1321])).
% 39.12/5.54 fof(f3539,plain,(
% 39.12/5.54 ![X0]: (c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X0)=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1926])).
% 39.12/5.54 fof(f3542,plain,(
% 39.12/5.54 ![X0]: (c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,X0)=c_NS__Shared__Mirabelle_Ons__shared)),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1454])).
% 39.12/5.54 fof(f3543,plain,(
% 39.12/5.54 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Event_Obad),X0)=c_Message_Oanalz(c_Event_Obad))),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1784])).
% 39.12/5.54 fof(f3546,plain,(
% 39.12/5.54 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Event_Obad,X0)=c_Event_Obad)),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1357])).
% 39.12/5.54 fof(f3547,plain,(
% 39.12/5.54 ![X0,X1]: (c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_OsymKeys),X1)=c_Message_Oanalz(c_Message_OsymKeys))),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f2480])).
% 39.12/5.54 fof(f3550,plain,(
% 39.12/5.54 ![X0,X1]: (c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,X1)=c_Message_OsymKeys)),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1497])).
% 39.12/5.54 fof(f3559,plain,(
% 39.12/5.54 ![X0,X1,X2]: (c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),X2)=c_Event_Oknows(X0,X1))),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1361])).
% 39.12/5.54 fof(f3560,plain,(
% 39.12/5.54 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X0)=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1841])).
% 39.12/5.54 fof(f3564,plain,(
% 39.12/5.54 ![X0]: (c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0)=c_NS__Shared__Mirabelle_Ons__shared)),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1358])).
% 39.12/5.54 fof(f3565,plain,(
% 39.12/5.54 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X3)=c_Set_Oinsert(X0,X1,X2))),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f2664])).
% 39.12/5.54 fof(f3566,plain,(
% 39.12/5.54 ![X0,X1,X2]: (c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2))),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1275])).
% 39.12/5.54 fof(f3568,plain,(
% 39.12/5.54 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,X2)),X3)=c_Message_Oanalz(c_Set_Oinsert(X0,X1,X2)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f2831])).
% 39.12/5.54 fof(f3569,plain,(
% 39.12/5.54 ![X0,X1,X2]: (c_Set_Oinsert(X0,c_Message_Oanalz(X1),X2)=c_Message_Oanalz(X1)|~hBOOL(c_in(X0,X1,tc_Message_Omsg)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f987,f1387])).
% 39.12/5.54 fof(f3579,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f3543,f1254])).
% 39.12/5.54 fof(f3597,definition,(
% 39.12/5.54 ![X0]: (sQ53_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Obad)),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f3600,plain,(
% 39.12/5.54 sQ53_spl|~sQ11_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f3579,f3597,f2161])).
% 39.12/5.54 fof(f3623,plain,(
% 39.12/5.54 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f3560,f1254])).
% 39.12/5.54 fof(f3643,definition,(
% 39.12/5.54 ![X0]: (sQ54_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f3646,plain,(
% 39.12/5.54 sQ54_spl|~sQ16_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f3623,f3643,f2179])).
% 39.12/5.54 fof(f3670,plain,(
% 39.12/5.54 ![X0,X1,X2]: (~c_Event_Oknows(X0,X1)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f3559,f781])).
% 39.12/5.54 fof(f3671,plain,(
% 39.12/5.54 ![X0,X1,X2]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oknows(X0,X1)),X2)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f3559,f2831])).
% 39.12/5.54 fof(f3672,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(X0,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f3559,f2832])).
% 39.12/5.54 fof(f3690,plain,(
% 39.12/5.54 ![X0]: (hBOOL(hAPP(c_Message_Oanalz(c_Event_OinitState(X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f1073,f3672])).
% 39.12/5.54 fof(f3691,plain,(
% 39.12/5.54 ![X0,X1]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_OinitState(X0)),X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f3690,f1300])).
% 39.12/5.54 fof(f3776,plain,(
% 39.12/5.54 ![X0,X1,X2]: (c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_Oknows(X0,X1)),X2)=c_Message_Oanalz(c_Event_Oknows(X0,X1)))),
% 39.12/5.54 inference(resolution,[status(thm)],[f3671,f987])).
% 39.12/5.54 fof(f3795,plain,(
% 39.12/5.54 ![X0,X1,X2]: (~c_Message_Oanalz(c_Event_Oknows(X0,X1))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 39.12/5.54 inference(paramodulation,[status(thm)],[f3776,f781])).
% 39.12/5.54 fof(f4020,plain,(
% 39.12/5.54 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_bool)=X0|~c_lessequals(X1,X0,tc_bool))),
% 39.12/5.54 inference(resolution,[status(thm)],[f861,f1328])).
% 39.12/5.54 fof(f4021,plain,(
% 39.12/5.54 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X0|~c_lessequals(X1,X0,tc_nat))),
% 39.12/5.54 inference(resolution,[status(thm)],[f861,f1321])).
% 39.12/5.54 fof(f4023,plain,(
% 39.12/5.54 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=X0|~class_Orderings_Obot(tc_bool))),
% 39.12/5.54 inference(resolution,[status(thm)],[f4020,f777])).
% 39.12/5.54 fof(f4028,plain,(
% 39.12/5.54 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool)=X0|~class_Orderings_Oorder(tc_bool))),
% 39.12/5.54 inference(resolution,[status(thm)],[f4020,f1102])).
% 39.12/5.54 fof(f4029,definition,(
% 39.12/5.54 ![X0]: (sQ55_spl <=> (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=X0))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f4032,definition,(
% 39.12/5.54 sQ56_spl <=> (class_Orderings_Obot(tc_bool))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f4034,plain,(
% 39.12/5.54 ~class_Orderings_Obot(tc_bool)|sQ56_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f4032])).
% 39.12/5.54 fof(f4035,plain,(
% 39.12/5.54 sQ55_spl|~sQ56_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f4023,f4029,f4032])).
% 39.12/5.54 fof(f4036,definition,(
% 39.12/5.54 ![X0]: (sQ57_spl <=> (c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool)=X0))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f4039,definition,(
% 39.12/5.54 sQ58_spl <=> (class_Orderings_Opreorder(tc_bool))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f4041,plain,(
% 39.12/5.54 ~class_Orderings_Opreorder(tc_bool)|sQ58_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f4039])).
% 39.12/5.54 fof(f4043,definition,(
% 39.12/5.54 sQ59_spl <=> (class_Orderings_Oorder(tc_bool))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f4045,plain,(
% 39.12/5.54 ~class_Orderings_Oorder(tc_bool)|sQ59_spl),
% 39.12/5.54 inference(component_clause,[status(thm)],[f4043])).
% 39.12/5.54 fof(f4046,plain,(
% 39.12/5.54 sQ57_spl|~sQ59_spl),
% 39.12/5.54 inference(split_clause,[status(thm)],[f4028,f4036,f4043])).
% 39.12/5.54 fof(f4047,plain,(
% 39.12/5.54 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=X0|~class_Orderings_Obot(tc_nat))),
% 39.12/5.54 inference(resolution,[status(thm)],[f4021,f777])).
% 39.12/5.54 fof(f4056,plain,(
% 39.12/5.54 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat)=X0|~class_Orderings_Oorder(tc_nat))),
% 39.12/5.54 inference(resolution,[status(thm)],[f4021,f1102])).
% 39.12/5.54 fof(f4057,definition,(
% 39.12/5.54 ![X0]: (sQ60_spl <=> (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=X0))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f4058,plain,(
% 39.12/5.54 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=X0|~sQ60_spl)),
% 39.12/5.54 inference(component_clause,[status(thm)],[f4057])).
% 39.12/5.54 fof(f4060,definition,(
% 39.12/5.54 sQ61_spl <=> (class_Orderings_Obot(tc_nat))),
% 39.12/5.54 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 39.12/5.54 fof(f4062,plain,(
% 39.12/5.54 ~class_Orderings_Obot(tc_nat)|sQ61_spl),
% 39.12/5.56 inference(component_clause,[status(thm)],[f4060])).
% 39.12/5.56 fof(f4063,plain,(
% 39.12/5.56 sQ60_spl|~sQ61_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f4047,f4057,f4060])).
% 39.12/5.56 fof(f4064,definition,(
% 39.12/5.56 ![X0]: (sQ62_spl <=> (c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat)=X0))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f4067,definition,(
% 39.12/5.56 sQ63_spl <=> (class_Orderings_Opreorder(tc_nat))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f4069,plain,(
% 39.12/5.56 ~class_Orderings_Opreorder(tc_nat)|sQ63_spl),
% 39.12/5.56 inference(component_clause,[status(thm)],[f4067])).
% 39.12/5.56 fof(f4071,definition,(
% 39.12/5.56 sQ64_spl <=> (class_Orderings_Oorder(tc_nat))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f4073,plain,(
% 39.12/5.56 ~class_Orderings_Oorder(tc_nat)|sQ64_spl),
% 39.12/5.56 inference(component_clause,[status(thm)],[f4071])).
% 39.12/5.56 fof(f4074,plain,(
% 39.12/5.56 sQ62_spl|~sQ64_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f4056,f4064,f4071])).
% 39.12/5.56 fof(f4075,plain,(
% 39.12/5.56 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)=X0|~sQ60_spl)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3502,f4058])).
% 39.12/5.56 fof(f4080,plain,(
% 39.12/5.56 ![X0]: (c_lessequals(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)|~sQ60_spl)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f4058,f2880])).
% 39.12/5.56 fof(f4379,plain,(
% 39.12/5.56 ![X0,X1,X2,X3]: (~c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3565,f781])).
% 39.12/5.56 fof(f4472,plain,(
% 39.12/5.56 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_bool)=X1|c_lessequals(X0,X1,tc_bool))),
% 39.12/5.56 inference(resolution,[status(thm)],[f862,f1328])).
% 39.12/5.56 fof(f4473,plain,(
% 39.12/5.56 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X1|c_lessequals(X0,X1,tc_nat))),
% 39.12/5.56 inference(resolution,[status(thm)],[f862,f1321])).
% 39.12/5.56 fof(f4477,plain,(
% 39.12/5.56 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_bool)=X1|~c_lessequals(X0,X1,tc_bool))),
% 39.12/5.56 inference(resolution,[status(thm)],[f863,f1328])).
% 39.12/5.56 fof(f4478,plain,(
% 39.12/5.56 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_nat)=X1|~c_lessequals(X0,X1,tc_nat))),
% 39.12/5.56 inference(resolution,[status(thm)],[f863,f1321])).
% 39.12/5.56 fof(f4480,plain,(
% 39.12/5.56 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),X0,tc_bool)=X0|~class_Orderings_Obot(tc_bool))),
% 39.12/5.56 inference(resolution,[status(thm)],[f4477,f777])).
% 39.12/5.56 fof(f4487,definition,(
% 39.12/5.56 ![X0]: (sQ65_spl <=> (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),X0,tc_bool)=X0))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f4490,plain,(
% 39.12/5.56 sQ65_spl|~sQ56_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f4480,f4487,f4032])).
% 39.12/5.56 fof(f4493,plain,(
% 39.12/5.56 $false|sQ56_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f4034,f1333])).
% 39.12/5.56 fof(f4494,plain,(
% 39.12/5.56 sQ56_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f4493])).
% 39.12/5.56 fof(f4496,plain,(
% 39.12/5.56 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)=X0|~class_Orderings_Obot(tc_nat))),
% 39.12/5.56 inference(resolution,[status(thm)],[f4478,f777])).
% 39.12/5.56 fof(f4508,definition,(
% 39.12/5.56 ![X0]: (sQ66_spl <=> (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_nat),X0,tc_nat)=X0))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f4511,plain,(
% 39.12/5.56 sQ66_spl|~sQ61_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f4496,f4508,f4060])).
% 39.12/5.56 fof(f4514,plain,(
% 39.12/5.56 $false|sQ61_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f4062,f1326])).
% 39.12/5.56 fof(f4515,plain,(
% 39.12/5.56 sQ61_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f4514])).
% 39.12/5.56 fof(f4694,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3547,f1254])).
% 39.12/5.56 fof(f4709,definition,(
% 39.12/5.56 ![X0]: (sQ67_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_OsymKeys)),tc_Message_Omsg))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f4712,plain,(
% 39.12/5.56 sQ67_spl|sQ25_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f4694,f4709,f2211])).
% 39.12/5.56 fof(f4720,plain,(
% 39.12/5.56 ![X0]: (~hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_OsymKeys),tc_Message_Omsg))|~sQ25_spl)),
% 39.12/5.56 inference(forward_demodulation,[status(thm)],[f1291,f2212])).
% 39.12/5.56 fof(f4721,plain,(
% 39.12/5.56 $false|~sQ25_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f4720,f2480])).
% 39.12/5.56 fof(f4722,plain,(
% 39.12/5.56 ~sQ25_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f4721])).
% 39.12/5.56 fof(f5412,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (~c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))=c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f2491,f3795])).
% 39.12/5.56 fof(f5413,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (~c_Event_Oknows(c_Message_Oagent_OSpy,X0)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))=c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f2491,f3670])).
% 39.12/5.56 fof(f5415,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))=c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f2491,f3671])).
% 39.12/5.56 fof(f5416,plain,(
% 39.12/5.56 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f2491,f3672])).
% 39.12/5.56 fof(f5419,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),X1))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))=c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f2491,f1361])).
% 39.12/5.56 fof(f5420,plain,(
% 39.12/5.56 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X0),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f2491,f1355])).
% 39.12/5.56 fof(f5422,definition,(
% 39.12/5.56 ![X0]: (sQ73_spl <=> (c_Event_Oknows(c_Message_Oagent_OSpy,X0)=c_Event_Oknows(c_Message_Oagent_OSpy,X0)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5435,definition,(
% 39.12/5.56 ![X0,X1]: (sQ76_spl <=> (~c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5438,definition,(
% 39.12/5.56 ![X2,X3,X4]: (sQ77_spl <=> (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))=c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5441,plain,(
% 39.12/5.56 sQ76_spl|sQ77_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f5412,f5435,f5438])).
% 39.12/5.56 fof(f5442,definition,(
% 39.12/5.56 ![X0,X1]: (sQ78_spl <=> (~c_Event_Oknows(c_Message_Oagent_OSpy,X0)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5445,plain,(
% 39.12/5.56 sQ78_spl|sQ77_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f5413,f5442,f5438])).
% 39.12/5.56 fof(f5447,definition,(
% 39.12/5.56 ![X0,X1]: (sQ79_spl <=> (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5450,plain,(
% 39.12/5.56 sQ79_spl|sQ77_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f5415,f5447,f5438])).
% 39.12/5.56 fof(f5451,definition,(
% 39.12/5.56 ![X0]: (sQ80_spl <=> (hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5454,plain,(
% 39.12/5.56 sQ80_spl|sQ77_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f5416,f5451,f5438])).
% 39.12/5.56 fof(f5457,definition,(
% 39.12/5.56 ![X0,X1]: (sQ81_spl <=> (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),X1))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5460,plain,(
% 39.12/5.56 sQ81_spl|sQ77_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f5419,f5457,f5438])).
% 39.12/5.56 fof(f5461,definition,(
% 39.12/5.56 ![X0]: (sQ82_spl <=> (hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X0),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5464,plain,(
% 39.12/5.56 sQ82_spl|sQ77_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f5420,f5461,f5438])).
% 39.12/5.56 fof(f5467,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg))|~sQ0_spl)),
% 39.12/5.56 inference(resolution,[status(thm)],[f2253,f1296])).
% 39.12/5.56 fof(f5531,plain,(
% 39.12/5.56 ![X0,X1]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X0),X1,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X1)|sQ0_spl)),
% 39.12/5.56 inference(resolution,[status(thm)],[f1340,f1275])).
% 39.12/5.56 fof(f5538,plain,(
% 39.12/5.56 ![X0,X1,X2,X3]: (c_lessequals(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f2491,f778])).
% 39.12/5.56 fof(f5541,definition,(
% 39.12/5.56 ![X0]: (sQ83_spl <=> (c_lessequals(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5544,plain,(
% 39.12/5.56 sQ83_spl|sQ77_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f5538,f5541,f5438])).
% 39.12/5.56 fof(f5563,plain,(
% 39.12/5.56 ![X0,X1]: (c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1)=c_Set_Oinsert(v_evs,c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1),X1))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3564,f661])).
% 39.12/5.56 fof(f5565,plain,(
% 39.12/5.56 ![X0,X1]: (c_Set_Oinsert(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X1)=c_Set_Oinsert(v_evs,c_Set_Oinsert(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X1),X1))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3560,f661])).
% 39.12/5.56 fof(f5566,plain,(
% 39.12/5.56 ![X0,X1]: (c_Set_Oinsert(X0,c_Event_Obad,X1)=c_Set_Oinsert(c_Message_Oagent_OSpy,c_Set_Oinsert(X0,c_Event_Obad,X1),X1))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3546,f661])).
% 39.12/5.56 fof(f5635,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),X4)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f661,f2664])).
% 39.12/5.56 fof(f5719,plain,(
% 39.12/5.56 ![X0,X1,X2]: (c_Set_Oinsert(v_evs,c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1)),X2)=c_Message_Oanalz(c_Set_Oinsert(v_evs,c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1),X1)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f5563,f3568])).
% 39.12/5.56 fof(f5728,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1),v_evs)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f5563,f1052])).
% 39.12/5.56 fof(f5732,plain,(
% 39.12/5.56 ![X0,X1,X2]: (c_Set_Oinsert(v_evs,c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1)),X2)=c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1)))),
% 39.12/5.56 inference(forward_demodulation,[status(thm)],[f5563,f5719])).
% 39.12/5.56 fof(f5797,plain,(
% 39.12/5.56 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3),X1)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f5635,f1302])).
% 39.12/5.56 fof(f5823,plain,(
% 39.12/5.56 ![X0,X1,X2]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Set_Oinsert(X0,c_Event_Obad,X1),X2)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3546,f5635])).
% 39.12/5.56 fof(f5835,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Obad,X1),c_Message_Oagent_OSpy)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f5823,f1302])).
% 39.12/5.56 fof(f5851,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X1),c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3539,f5797])).
% 39.12/5.56 fof(f5852,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1),c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3542,f5797])).
% 39.12/5.56 fof(f5864,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X1),v_evs)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3560,f5797])).
% 39.12/5.56 fof(f5866,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Event_Obad),X1),c_Message_Oagent_OSpy)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3543,f5797])).
% 39.12/5.56 fof(f5867,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,X3)),X4),X1)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3568,f5797])).
% 39.12/5.56 fof(f5870,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3565,f5797])).
% 39.12/5.56 fof(f5911,plain,(
% 39.12/5.56 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_NS__Shared__Mirabelle_Ons__shared,X2),X3),v_evs)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f5563,f5870])).
% 39.12/5.56 fof(f5922,plain,(
% 39.12/5.56 ![X0,X1,X2,X3]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)|X3=X3)),
% 39.12/5.56 inference(resolution,[status(thm)],[f2492,f603])).
% 39.12/5.56 fof(f5925,definition,(
% 39.12/5.56 ![X0,X1,X2]: (sQ84_spl <=> (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5926,plain,(
% 39.12/5.56 ![X0,X1,X2]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)|~sQ84_spl)),
% 39.12/5.56 inference(component_clause,[status(thm)],[f5925])).
% 39.12/5.56 fof(f5928,definition,(
% 39.12/5.56 ![X3]: (sQ85_spl <=> (X3=X3))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5931,plain,(
% 39.12/5.56 sQ84_spl|sQ85_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f5922,f5925,f5928])).
% 39.12/5.56 fof(f5939,plain,(
% 39.12/5.56 ![X0,X1,X2]: (c_Event_Oknows(c_Message_Oagent_OSpy,X0)=c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)|~hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))|~sQ84_spl)),
% 39.12/5.56 inference(backward_demodulation,[status(thm)],[f5926,f1245])).
% 39.12/5.56 fof(f5960,definition,(
% 39.12/5.56 ![X3,X4]: (sQ88_spl <=> (c_Event_Oknows(c_Message_Oagent_OSpy,X3)=c_Set_Oinsert(X4,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5961,plain,(
% 39.12/5.56 ![X0,X1]: (c_Event_Oknows(c_Message_Oagent_OSpy,X0)=c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)|~sQ88_spl)),
% 39.12/5.56 inference(component_clause,[status(thm)],[f5960])).
% 39.12/5.56 fof(f5968,definition,(
% 39.12/5.56 ![X2]: (sQ90_spl <=> (~hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f5969,plain,(
% 39.12/5.56 ![X0]: (~hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~sQ90_spl)),
% 39.12/5.56 inference(component_clause,[status(thm)],[f5968])).
% 39.12/5.56 fof(f5971,plain,(
% 39.12/5.56 sQ88_spl|sQ90_spl|~sQ84_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f5939,f5960,f5968,f5925])).
% 39.12/5.56 fof(f6011,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1))|~sQ88_spl)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f5961,f2832])).
% 39.12/5.56 fof(f6066,plain,(
% 39.12/5.56 ![X0]: (hBOOL(hAPP(c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),X0))|~sQ88_spl)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f1073,f6011])).
% 39.12/5.56 fof(f6067,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),X1))|~sQ88_spl)),
% 39.12/5.56 inference(resolution,[status(thm)],[f6066,f1300])).
% 39.12/5.56 fof(f6077,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))|~sQ88_spl)),
% 39.12/5.56 inference(resolution,[status(thm)],[f6067,f1283])).
% 39.12/5.56 fof(f6091,definition,(
% 39.12/5.56 ![X0]: (sQ91_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f6092,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))|~sQ91_spl)),
% 39.12/5.56 inference(component_clause,[status(thm)],[f6091])).
% 39.12/5.56 fof(f6094,definition,(
% 39.12/5.56 ![X1]: (sQ92_spl <=> (~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f6095,plain,(
% 39.12/5.56 ![X0]: (~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))|~sQ92_spl)),
% 39.12/5.56 inference(component_clause,[status(thm)],[f6094])).
% 39.12/5.56 fof(f6097,plain,(
% 39.12/5.56 sQ91_spl|sQ92_spl|~sQ88_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f6077,f6091,f6094,f5960])).
% 39.12/5.56 fof(f6105,plain,(
% 39.12/5.56 $false|~sQ92_spl),
% 39.12/5.56 inference(resolution,[status(thm)],[f6095,f3691])).
% 39.12/5.56 fof(f6107,plain,(
% 39.12/5.56 ~sQ92_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f6105])).
% 39.12/5.56 fof(f6115,plain,(
% 39.12/5.56 ![X0,X1]: (c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy))),X1)=c_Message_Oanalz(c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)))|~sQ91_spl)),
% 39.12/5.56 inference(resolution,[status(thm)],[f6092,f3569])).
% 39.12/5.56 fof(f6123,plain,(
% 39.12/5.56 ![X0,X1]: (c_Set_Oinsert(X0,c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),X1)=c_Message_Oanalz(c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)))|~sQ91_spl)),
% 39.12/5.56 inference(forward_demodulation,[status(thm)],[f1291,f6115])).
% 39.12/5.56 fof(f6124,plain,(
% 39.12/5.56 ![X0,X1]: (c_Set_Oinsert(X0,c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),X1)=c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy))|~sQ91_spl)),
% 39.12/5.56 inference(forward_demodulation,[status(thm)],[f1291,f6123])).
% 39.12/5.56 fof(f6137,plain,(
% 39.12/5.56 ![X0]: (c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))|~class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f671,f1102])).
% 39.12/5.56 fof(f6141,definition,(
% 39.12/5.56 ![X0]: (sQ93_spl <=> (c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f6145,plain,(
% 39.12/5.56 sQ93_spl|~sQ47_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f6137,f6141,f2931])).
% 39.12/5.56 fof(f6311,plain,(
% 39.12/5.56 $false|~sQ90_spl),
% 39.12/5.56 inference(resolution,[status(thm)],[f5969,f1357])).
% 39.12/5.56 fof(f6312,plain,(
% 39.12/5.56 ~sQ90_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f6311])).
% 39.12/5.56 fof(f6579,plain,(
% 39.12/5.56 ~class_Orderings_Oorder(tc_bool)|sQ47_spl),
% 39.12/5.56 inference(resolution,[status(thm)],[f2933,f1316])).
% 39.12/5.56 fof(f6580,plain,(
% 39.12/5.56 $false|sQ47_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f6579,f1332])).
% 39.12/5.56 fof(f6581,plain,(
% 39.12/5.56 sQ47_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f6580])).
% 39.12/5.56 fof(f6582,plain,(
% 39.12/5.56 ~class_Orderings_Opreorder(tc_bool)|sQ46_spl),
% 39.12/5.56 inference(resolution,[status(thm)],[f2929,f1312])).
% 39.12/5.56 fof(f6583,plain,(
% 39.12/5.56 $false|sQ46_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f6582,f1330])).
% 39.12/5.56 fof(f6584,plain,(
% 39.12/5.56 sQ46_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f6583])).
% 39.12/5.56 fof(f6776,plain,(
% 39.12/5.56 ![X0,X1,X2]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)|c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(resolution,[status(thm)],[f1275,f987])).
% 39.12/5.56 fof(f7220,plain,(
% 39.12/5.56 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X2),X3),v_evs)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f5565,f5870])).
% 39.12/5.56 fof(f7308,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))|~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f1073,f1290])).
% 39.12/5.56 fof(f7309,definition,(
% 39.12/5.56 ![X0]: (sQ112_spl <=> (hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f7312,plain,(
% 39.12/5.56 sQ112_spl|~sQ39_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f7308,f7309,f2672])).
% 39.12/5.56 fof(f7563,plain,(
% 39.12/5.56 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_NS__Shared__Mirabelle_Ons__shared,X2)),X3),v_evs)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f5732,f5870])).
% 39.12/5.56 fof(f7894,plain,(
% 39.12/5.56 ![X0,X1,X2]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2))),
% 39.12/5.56 inference(resolution,[status(thm)],[f2862,f1358])).
% 39.12/5.56 fof(f8104,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Event_OinitState(X2),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|X2=c_Message_Oagent_OSpy|~hBOOL(c_in(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))|hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),hAPP(c_Message_Omsg_OKey,X0)))),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_List_Olist_ONil(tc_Event_Oevent)),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_List_Olist_ONil(tc_Event_Oevent))),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),X4))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f634,f2902])).
% 39.12/5.56 fof(f8105,definition,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (sQ123_spl <=> (hBOOL(c_in(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Event_OinitState(X2),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|X2=c_Message_Oagent_OSpy|~hBOOL(c_in(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))|hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),hAPP(c_Message_Omsg_OKey,X0)))),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_List_Olist_ONil(tc_Event_Oevent)),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)),c_List_Olist_ONil(tc_Event_Oevent))),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),X4))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8108,plain,(
% 39.12/5.56 sQ123_spl|~sQ39_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8104,f8105,f2672])).
% 39.12/5.56 fof(f8115,plain,(
% 39.12/5.56 ![X0,X1]: (X0=X1|~c_lessequals(X1,X0,tc_bool)|~c_lessequals(X0,X1,tc_bool))),
% 39.12/5.56 inference(resolution,[status(thm)],[f854,f1332])).
% 39.12/5.56 fof(f8116,plain,(
% 39.12/5.56 ![X0,X1]: (X0=X1|~c_lessequals(X1,X0,tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 39.12/5.56 inference(resolution,[status(thm)],[f854,f1325])).
% 39.12/5.56 fof(f8117,plain,(
% 39.12/5.56 ![X0]: (X0=c_Orderings_Obot__class_Obot(tc_bool)|~c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool))),
% 39.12/5.56 inference(resolution,[status(thm)],[f8115,f2874])).
% 39.12/5.56 fof(f8118,plain,(
% 39.12/5.56 ![X0]: (X0=c_Orderings_Obot__class_Obot(tc_bool)|~c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)|~class_Orderings_Obot(tc_bool))),
% 39.12/5.56 inference(resolution,[status(thm)],[f8115,f777])).
% 39.12/5.56 fof(f8121,plain,(
% 39.12/5.56 ![X0,X1]: (X0=X1|~c_lessequals(X0,X1,tc_bool)|~c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_bool)=X0)),
% 39.12/5.56 inference(resolution,[status(thm)],[f8115,f4472])).
% 39.12/5.56 fof(f8124,plain,(
% 39.12/5.56 ![X0]: (X0=X0|~c_lessequals(X0,X0,tc_bool)|~class_Orderings_Oorder(tc_bool))),
% 39.12/5.56 inference(resolution,[status(thm)],[f8115,f1102])).
% 39.12/5.56 fof(f8125,definition,(
% 39.12/5.56 ![X0]: (sQ124_spl <=> (X0=c_Orderings_Obot__class_Obot(tc_bool)|~c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8128,plain,(
% 39.12/5.56 sQ124_spl|~sQ56_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8118,f8125,f4032])).
% 39.12/5.56 fof(f8129,definition,(
% 39.12/5.56 ![X0]: (sQ125_spl <=> (X0=X0|~c_lessequals(X0,X0,tc_bool)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8133,plain,(
% 39.12/5.56 sQ125_spl|~sQ59_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8124,f8129,f4043])).
% 39.12/5.56 fof(f8134,plain,(
% 39.12/5.56 $false|sQ59_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f4045,f1332])).
% 39.12/5.56 fof(f8135,plain,(
% 39.12/5.56 sQ59_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f8134])).
% 39.12/5.56 fof(f8136,plain,(
% 39.12/5.56 $false|sQ58_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f4041,f1330])).
% 39.12/5.56 fof(f8137,plain,(
% 39.12/5.56 sQ58_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f8136])).
% 39.12/5.56 fof(f8138,plain,(
% 39.12/5.56 ![X0]: (X0=c_Orderings_Obot__class_Obot(tc_nat)|~c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)|~sQ60_spl)),
% 39.12/5.56 inference(resolution,[status(thm)],[f8116,f4080])).
% 39.12/5.56 fof(f8139,plain,(
% 39.12/5.56 ![X0]: (X0=c_Orderings_Obot__class_Obot(tc_nat)|~c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)|~class_Orderings_Obot(tc_nat))),
% 39.12/5.56 inference(resolution,[status(thm)],[f8116,f777])).
% 39.12/5.56 fof(f8143,plain,(
% 39.12/5.56 ![X0,X1]: (X0=X1|~c_lessequals(X0,X1,tc_nat)|~c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_nat)=X0)),
% 39.12/5.56 inference(resolution,[status(thm)],[f8116,f4473])).
% 39.12/5.56 fof(f8151,plain,(
% 39.12/5.56 ![X0]: (X0=X0|~c_lessequals(X0,X0,tc_nat)|~class_Orderings_Oorder(tc_nat))),
% 39.12/5.56 inference(resolution,[status(thm)],[f8116,f1102])).
% 39.12/5.56 fof(f8152,definition,(
% 39.12/5.56 ![X0]: (sQ126_spl <=> (X0=c_Orderings_Obot__class_Obot(tc_nat)|~c_lessequals(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8155,plain,(
% 39.12/5.56 sQ126_spl|~sQ61_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8139,f8152,f4060])).
% 39.12/5.56 fof(f8156,definition,(
% 39.12/5.56 ![X0]: (sQ127_spl <=> (X0=X0|~c_lessequals(X0,X0,tc_nat)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8160,plain,(
% 39.12/5.56 sQ127_spl|~sQ64_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8151,f8156,f4071])).
% 39.12/5.56 fof(f8161,plain,(
% 39.12/5.56 $false|sQ64_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f4073,f1325])).
% 39.12/5.56 fof(f8162,plain,(
% 39.12/5.56 sQ64_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f8161])).
% 39.12/5.56 fof(f8163,plain,(
% 39.12/5.56 $false|sQ63_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f4069,f1322])).
% 39.12/5.56 fof(f8164,plain,(
% 39.12/5.56 sQ63_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f8163])).
% 39.12/5.56 fof(f8166,plain,(
% 39.12/5.56 c_Orderings_Obot__class_Obot(tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)|~class_Orderings_Obot(tc_bool)),
% 39.12/5.56 inference(resolution,[status(thm)],[f8117,f777])).
% 39.12/5.56 fof(f8171,definition,(
% 39.12/5.56 sQ128_spl <=> (c_Orderings_Obot__class_Obot(tc_bool)=c_Orderings_Obot__class_Obot(tc_bool))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8174,plain,(
% 39.12/5.56 sQ128_spl|~sQ56_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8166,f8171,f4032])).
% 39.12/5.56 fof(f8178,plain,(
% 39.12/5.56 c_Orderings_Obot__class_Obot(tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|~class_Orderings_Obot(tc_nat)|~sQ60_spl),
% 39.12/5.56 inference(resolution,[status(thm)],[f8138,f777])).
% 39.12/5.56 fof(f8189,definition,(
% 39.12/5.56 sQ129_spl <=> (c_Orderings_Obot__class_Obot(tc_nat)=c_Orderings_Obot__class_Obot(tc_nat))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8192,plain,(
% 39.12/5.56 sQ129_spl|~sQ61_spl|~sQ60_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8178,f8189,f4060,f4057])).
% 39.12/5.56 fof(f8394,plain,(
% 39.12/5.56 ![X0]: (c_Orderings_Obot__class_Obot(tc_bool)=X0|~c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)|~class_Orderings_Obot(tc_bool))),
% 39.12/5.56 inference(resolution,[status(thm)],[f8121,f777])).
% 39.12/5.56 fof(f8400,plain,(
% 39.12/5.56 ![X0]: (X0=X0|~c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool)=X0|~class_Orderings_Oorder(tc_bool))),
% 39.12/5.56 inference(resolution,[status(thm)],[f8121,f1102])).
% 39.12/5.56 fof(f8401,definition,(
% 39.12/5.56 ![X0]: (sQ133_spl <=> (c_Orderings_Obot__class_Obot(tc_bool)=X0|~c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8404,plain,(
% 39.12/5.56 sQ133_spl|~sQ56_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8394,f8401,f4032])).
% 39.12/5.56 fof(f8405,definition,(
% 39.12/5.56 ![X0]: (sQ134_spl <=> (X0=X0|~c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool)=X0))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8409,plain,(
% 39.12/5.56 sQ134_spl|~sQ59_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8400,f8405,f4043])).
% 39.12/5.56 fof(f8411,plain,(
% 39.12/5.56 ![X0]: (c_Orderings_Obot__class_Obot(tc_nat)=X0|~c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|~class_Orderings_Obot(tc_nat))),
% 39.12/5.56 inference(resolution,[status(thm)],[f8143,f777])).
% 39.12/5.56 fof(f8423,plain,(
% 39.12/5.56 ![X0]: (X0=X0|~c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat)=X0|~class_Orderings_Oorder(tc_nat))),
% 39.12/5.56 inference(resolution,[status(thm)],[f8143,f1102])).
% 39.12/5.56 fof(f8424,definition,(
% 39.12/5.56 ![X0]: (sQ135_spl <=> (c_Orderings_Obot__class_Obot(tc_nat)=X0|~c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8427,plain,(
% 39.12/5.56 sQ135_spl|~sQ61_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8411,f8424,f4060])).
% 39.12/5.56 fof(f8428,definition,(
% 39.12/5.56 ![X0]: (sQ136_spl <=> (X0=X0|~c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat)=X0))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8432,plain,(
% 39.12/5.56 sQ136_spl|~sQ64_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f8423,f8428,f4071])).
% 39.12/5.56 fof(f8442,definition,(
% 39.12/5.56 ![X0]: (sQ137_spl <=> (~c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8443,plain,(
% 39.12/5.56 ![X0]: (~c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)|~sQ137_spl)),
% 39.12/5.56 inference(component_clause,[status(thm)],[f8442])).
% 39.12/5.56 fof(f8446,definition,(
% 39.12/5.56 ![X0]: (sQ138_spl <=> (~X0=c_Orderings_Obot__class_Obot(tc_bool)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f8447,plain,(
% 39.12/5.56 ![X0]: (~X0=c_Orderings_Obot__class_Obot(tc_bool)|~sQ138_spl)),
% 39.12/5.56 inference(component_clause,[status(thm)],[f8446])).
% 39.12/5.56 fof(f8450,plain,(
% 39.12/5.56 $false|~sQ138_spl),
% 39.12/5.56 inference(destructive_equality_resolution,[status(thm)],[f8447])).
% 39.12/5.56 fof(f8451,plain,(
% 39.12/5.56 ~sQ138_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f8450])).
% 39.12/5.56 fof(f8452,plain,(
% 39.12/5.56 ![X0]: (~X0=c_Orderings_Obot__class_Obot(tc_bool)|~sQ137_spl)),
% 39.12/5.56 inference(forward_demodulation,[status(thm)],[f2684,f8443])).
% 39.12/5.56 fof(f8453,plain,(
% 39.12/5.56 $false|~sQ137_spl),
% 39.12/5.56 inference(destructive_equality_resolution,[status(thm)],[f8452])).
% 39.12/5.56 fof(f8454,plain,(
% 39.12/5.56 ~sQ137_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f8453])).
% 39.12/5.56 fof(f9155,plain,(
% 39.12/5.56 ~hBOOL(c_Orderings_Obot__class_Obot(tc_bool))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f2334,f838])).
% 39.12/5.56 fof(f9156,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),X0))|~hBOOL(c_Orderings_Obot__class_Obot(tc_bool)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f2334,f1300])).
% 39.12/5.56 fof(f9157,definition,(
% 39.12/5.56 ![X0]: (sQ147_spl <=> (hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),X0))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f9158,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),X0))|~sQ147_spl)),
% 39.12/5.56 inference(component_clause,[status(thm)],[f9157])).
% 39.12/5.56 fof(f9160,definition,(
% 39.12/5.56 sQ148_spl <=> (hBOOL(c_Orderings_Obot__class_Obot(tc_bool)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f9163,plain,(
% 39.12/5.56 sQ147_spl|~sQ148_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f9156,f9157,f9160])).
% 39.12/5.56 fof(f9164,plain,(
% 39.12/5.56 $false|~sQ147_spl),
% 39.12/5.56 inference(resolution,[status(thm)],[f9158,f973])).
% 39.12/5.56 fof(f9172,plain,(
% 39.12/5.56 ~sQ147_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f9164])).
% 39.12/5.56 fof(f9251,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f744,f1070])).
% 39.12/5.56 fof(f9252,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f744,f830])).
% 39.12/5.56 fof(f9279,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(c_in(v_evs,X0,X1))|~c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(X1,tc_bool)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3564,f744])).
% 39.12/5.56 fof(f9297,plain,(
% 39.12/5.56 hBOOL(c_in(v_evs,c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9279,f1070])).
% 39.12/5.56 fof(f9298,plain,(
% 39.12/5.56 hBOOL(c_in(v_evs,c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9279,f830])).
% 39.12/5.56 fof(f9306,plain,(
% 39.12/5.56 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),X0)=c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9297,f3569])).
% 39.12/5.56 fof(f9311,plain,(
% 39.12/5.56 hBOOL(hAPP(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),v_evs))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9297,f1302])).
% 39.12/5.56 fof(f9312,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(v_evs,c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),X0)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9311,f1300])).
% 39.12/5.56 fof(f9318,plain,(
% 39.12/5.56 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),X0)=c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9312,f987])).
% 39.12/5.56 fof(f9321,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),X0)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9298,f2295])).
% 39.12/5.56 fof(f9322,plain,(
% 39.12/5.56 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),X0)=c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9298,f3569])).
% 39.12/5.56 fof(f9328,plain,(
% 39.12/5.56 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),X0)=c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)))),
% 39.12/5.56 inference(forward_demodulation,[status(thm)],[f1196,f9322])).
% 39.12/5.56 fof(f9329,plain,(
% 39.12/5.56 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),X0)=c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),
% 39.12/5.56 inference(forward_demodulation,[status(thm)],[f1196,f9328])).
% 39.12/5.56 fof(f9504,plain,(
% 39.12/5.56 ![X0]: (hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X0),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))))|~sQ0_spl)),
% 39.12/5.56 inference(resolution,[status(thm)],[f5467,f1302])).
% 39.12/5.56 fof(f9507,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),X1))|~sQ0_spl)),
% 39.12/5.56 inference(resolution,[status(thm)],[f9504,f1300])).
% 39.12/5.56 fof(f9682,plain,(
% 39.12/5.56 $false|~sQ0_spl|sQ1_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f2260,f9507])).
% 39.12/5.56 fof(f9683,plain,(
% 39.12/5.56 ~sQ0_spl|sQ1_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f9682])).
% 39.12/5.56 fof(f9764,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f9318,f1254])).
% 39.12/5.56 fof(f9769,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),X1),v_evs)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f9318,f5867])).
% 39.12/5.56 fof(f9773,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),X1),v_evs)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f9318,f5870])).
% 39.12/5.56 fof(f9781,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),X0)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f9318,f2831])).
% 39.12/5.56 fof(f9793,definition,(
% 39.12/5.56 ![X0]: (sQ155_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f9796,definition,(
% 39.12/5.56 sQ156_spl <=> (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f9798,plain,(
% 39.12/5.56 ~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|sQ156_spl),
% 39.12/5.56 inference(component_clause,[status(thm)],[f9796])).
% 39.12/5.56 fof(f9799,plain,(
% 39.12/5.56 sQ155_spl|~sQ156_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f9764,f9793,f9796])).
% 39.12/5.56 fof(f9823,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f9329,f1254])).
% 39.12/5.56 fof(f9828,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),X1),v_evs)))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f9329,f5867])).
% 39.12/5.56 fof(f9854,definition,(
% 39.12/5.56 ![X0]: (sQ158_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f9857,definition,(
% 39.12/5.56 sQ159_spl <=> (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.56 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 39.12/5.56 fof(f9859,plain,(
% 39.12/5.56 ~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|sQ159_spl),
% 39.12/5.56 inference(component_clause,[status(thm)],[f9857])).
% 39.12/5.56 fof(f9860,plain,(
% 39.12/5.56 sQ158_spl|~sQ159_spl),
% 39.12/5.56 inference(split_clause,[status(thm)],[f9823,f9854,f9857])).
% 39.12/5.56 fof(f9865,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),X1),v_evs)))),
% 39.12/5.56 inference(forward_demodulation,[status(thm)],[f1196,f9828])).
% 39.12/5.56 fof(f9873,plain,(
% 39.12/5.56 ~hBOOL(c_in(v_evs,c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|sQ159_spl),
% 39.12/5.56 inference(forward_demodulation,[status(thm)],[f1196,f9859])).
% 39.12/5.56 fof(f9874,plain,(
% 39.12/5.56 $false|sQ159_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f9873,f9321])).
% 39.12/5.56 fof(f9875,plain,(
% 39.12/5.56 sQ159_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f9874])).
% 39.12/5.56 fof(f9881,plain,(
% 39.12/5.56 $false|sQ156_spl),
% 39.12/5.56 inference(forward_subsumption_resolution,[status(thm)],[f9798,f9781])).
% 39.12/5.56 fof(f9882,plain,(
% 39.12/5.56 sQ156_spl),
% 39.12/5.56 inference(contradiction_clause,[status(thm)],[f9881])).
% 39.12/5.56 fof(f9895,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9251,f1302])).
% 39.12/5.56 fof(f9913,plain,(
% 39.12/5.56 hBOOL(c_in(v_evs,c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f9329,f9251])).
% 39.12/5.56 fof(f9919,plain,(
% 39.12/5.56 hBOOL(c_in(v_evs,c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3560,f9251])).
% 39.12/5.56 fof(f9920,plain,(
% 39.12/5.56 hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),tc_Message_Omsg))),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3546,f9251])).
% 39.12/5.56 fof(f10003,plain,(
% 39.12/5.56 hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),v_evs))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9913,f1302])).
% 39.12/5.56 fof(f10004,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(v_evs,c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),X0)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f10003,f1300])).
% 39.12/5.56 fof(f10011,plain,(
% 39.12/5.56 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),X0)=c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f10004,f987])).
% 39.12/5.56 fof(f10023,plain,(
% 39.12/5.56 hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),v_evs))),
% 39.12/5.56 inference(resolution,[status(thm)],[f9919,f1302])).
% 39.12/5.56 fof(f10027,plain,(
% 39.12/5.56 ![X0]: (hBOOL(c_in(v_evs,c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),X0)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f10023,f1300])).
% 39.12/5.56 fof(f10038,plain,(
% 39.12/5.56 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),X0)=c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)))),
% 39.12/5.56 inference(resolution,[status(thm)],[f10027,f987])).
% 39.12/5.56 fof(f10050,plain,(
% 39.12/5.56 ![X0,X1,X2]: (c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X2),X0,tc_Event_Oevent),tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))|sQ0_spl)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f5531,f757])).
% 39.12/5.56 fof(f10198,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X2),X3,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X3)|c_Set_Oinsert(X4,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3566,f3134])).
% 39.12/5.56 fof(f10200,plain,(
% 39.12/5.56 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),X4,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X4)|c_Set_Oinsert(X5,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3566,f2495])).
% 39.12/5.56 fof(f10204,plain,(
% 39.12/5.56 ![X0,X1]: (c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool))|c_Set_Oinsert(X1,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3566,f757])).
% 39.12/5.56 fof(f10206,plain,(
% 39.12/5.56 ![X0,X1]: (c_lessequals(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool))|c_Set_Oinsert(X1,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3566,f778])).
% 39.12/5.56 fof(f10208,plain,(
% 39.12/5.56 ![X0,X1,X2]: (~c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Set_Oinsert(X2,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3566,f3795])).
% 39.12/5.56 fof(f10209,plain,(
% 39.12/5.56 ![X0,X1,X2]: (~c_Event_Oknows(c_Message_Oagent_OSpy,X0)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Set_Oinsert(X2,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3566,f3670])).
% 39.12/5.56 fof(f10211,plain,(
% 39.12/5.56 ![X0,X1,X2]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),X1))|c_Set_Oinsert(X2,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3566,f3671])).
% 39.12/5.56 fof(f10212,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))|c_Set_Oinsert(X1,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3566,f3672])).
% 39.12/5.56 fof(f10215,plain,(
% 39.12/5.56 ![X0,X1,X2]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),X1))|c_Set_Oinsert(X2,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.56 inference(paramodulation,[status(thm)],[f3566,f1361])).
% 39.12/5.56 fof(f10216,plain,(
% 39.12/5.56 ![X0,X1]: (hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X0),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))|c_Set_Oinsert(X1,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3566,f1355])).
% 39.12/5.57 fof(f10222,definition,(
% 39.12/5.57 ![X0,X1,X2,X3]: (sQ161_spl <=> (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X2),X3,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X3)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f10225,definition,(
% 39.12/5.57 ![X4]: (sQ162_spl <=> (c_Set_Oinsert(X4,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f10226,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad|~sQ162_spl)),
% 39.12/5.57 inference(component_clause,[status(thm)],[f10225])).
% 39.12/5.57 fof(f10228,plain,(
% 39.12/5.57 sQ161_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10198,f10222,f10225])).
% 39.12/5.57 fof(f10229,definition,(
% 39.12/5.57 ![X0,X1,X2,X3,X4]: (sQ163_spl <=> (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),X4,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X4)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f10232,plain,(
% 39.12/5.57 sQ163_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10200,f10229,f10225])).
% 39.12/5.57 fof(f10233,definition,(
% 39.12/5.57 ![X0]: (sQ164_spl <=> (c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f10236,plain,(
% 39.12/5.57 sQ164_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10204,f10233,f10225])).
% 39.12/5.57 fof(f10237,plain,(
% 39.12/5.57 sQ83_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10206,f5541,f10225])).
% 39.12/5.57 fof(f10238,plain,(
% 39.12/5.57 sQ76_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10208,f5435,f10225])).
% 39.12/5.57 fof(f10239,plain,(
% 39.12/5.57 sQ78_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10209,f5442,f10225])).
% 39.12/5.57 fof(f10241,plain,(
% 39.12/5.57 sQ79_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10211,f5447,f10225])).
% 39.12/5.57 fof(f10242,plain,(
% 39.12/5.57 sQ80_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10212,f5451,f10225])).
% 39.12/5.57 fof(f10245,plain,(
% 39.12/5.57 sQ81_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10215,f5457,f10225])).
% 39.12/5.57 fof(f10246,plain,(
% 39.12/5.57 sQ82_spl|sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10216,f5461,f10225])).
% 39.12/5.57 fof(f10247,plain,(
% 39.12/5.57 ![X0,X1,X2]: (c_Event_Obad=c_Event_Obad|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)|~sQ162_spl)),
% 39.12/5.57 inference(backward_demodulation,[status(thm)],[f10226,f3566])).
% 39.12/5.57 fof(f10280,definition,(
% 39.12/5.57 sQ165_spl <=> (c_Event_Obad=c_Event_Obad)),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f10283,plain,(
% 39.12/5.57 sQ165_spl|sQ84_spl|~sQ162_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10247,f10280,f5925,f10225])).
% 39.12/5.57 fof(f10468,plain,(
% 39.12/5.57 ![X0,X1]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f686,f761])).
% 39.12/5.57 fof(f10469,definition,(
% 39.12/5.57 ![X0]: (sQ169_spl <=> (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f10470,plain,(
% 39.12/5.57 ![X0]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))|~sQ169_spl)),
% 39.12/5.57 inference(component_clause,[status(thm)],[f10469])).
% 39.12/5.57 fof(f10472,definition,(
% 39.12/5.57 ![X1]: (sQ170_spl <=> (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f10475,plain,(
% 39.12/5.57 sQ169_spl|sQ170_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f10468,f10469,f10472])).
% 39.12/5.57 fof(f10476,plain,(
% 39.12/5.57 $false|~sQ169_spl),
% 39.12/5.57 inference(trivial_equality_resolution,[status(thm)],[f10470])).
% 39.12/5.57 fof(f10477,plain,(
% 39.12/5.57 ~sQ169_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f10476])).
% 39.12/5.57 fof(f10749,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),X0)=c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f9920,f3569])).
% 39.12/5.57 fof(f10755,plain,(
% 39.12/5.57 hBOOL(hAPP(c_Message_Osynth(c_Event_Obad),c_Message_Oagent_OSpy))),
% 39.12/5.57 inference(resolution,[status(thm)],[f9920,f1302])).
% 39.12/5.57 fof(f10756,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),X0)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f10755,f1300])).
% 39.12/5.57 fof(f10763,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Osynth(c_Event_Obad),X0)=c_Message_Osynth(c_Event_Obad))),
% 39.12/5.57 inference(resolution,[status(thm)],[f10756,f987])).
% 39.12/5.57 fof(f10969,plain,(
% 39.12/5.57 hBOOL(hAPP(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),c_List_Olist_ONil(tc_Event_Oevent)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3542,f9895])).
% 39.12/5.57 fof(f10973,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Osynth(c_Message_OsymKeys),hAPP(c_Public_OshrK,X0))))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3550,f9895])).
% 39.12/5.57 fof(f10977,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Message_Osynth(c_Event_Oknows(X0,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3559,f9895])).
% 39.12/5.57 fof(f10986,plain,(
% 39.12/5.57 hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),c_Message_Oagent_OSpy))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3543,f9895])).
% 39.12/5.57 fof(f10991,plain,(
% 39.12/5.57 ![X0,X1,X2]: (hBOOL(hAPP(c_Message_Osynth(c_Set_Oinsert(X0,X1,X2)),X0)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3565,f9895])).
% 39.12/5.57 fof(f10995,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),X0)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f10986,f1300])).
% 39.12/5.57 fof(f11003,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),X0)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f10969,f1300])).
% 39.12/5.57 fof(f11004,plain,(
% 39.12/5.57 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Message_Osynth(c_Set_Oinsert(X0,X1,X2)),X3)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f10991,f1300])).
% 39.12/5.57 fof(f11054,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),tc_Message_Omsg)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f10763,f1254])).
% 39.12/5.57 fof(f11062,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),X1),c_Message_Oagent_OSpy)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f10763,f5867])).
% 39.12/5.57 fof(f11066,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Osynth(c_Event_Obad),X1),c_Message_Oagent_OSpy)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f10763,f5870])).
% 39.12/5.57 fof(f11074,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),X0)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f10763,f2831])).
% 39.12/5.57 fof(f11088,definition,(
% 39.12/5.57 ![X0]: (sQ174_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11091,definition,(
% 39.12/5.57 sQ175_spl <=> (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),tc_Message_Omsg)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11093,plain,(
% 39.12/5.57 ~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),tc_Message_Omsg))|sQ175_spl),
% 39.12/5.57 inference(component_clause,[status(thm)],[f11091])).
% 39.12/5.57 fof(f11094,plain,(
% 39.12/5.57 sQ174_spl|~sQ175_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11054,f11088,f11091])).
% 39.12/5.57 fof(f11172,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Osynth(c_Message_OsymKeys),X1)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f10973,f1300])).
% 39.12/5.57 fof(f11184,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),X0)=c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f10995,f987])).
% 39.12/5.57 fof(f11196,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),X0)=c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),
% 39.12/5.57 inference(resolution,[status(thm)],[f11003,f987])).
% 39.12/5.57 fof(f11445,plain,(
% 39.12/5.57 $false|sQ175_spl),
% 39.12/5.57 inference(forward_subsumption_resolution,[status(thm)],[f11093,f11074])).
% 39.12/5.57 fof(f11446,plain,(
% 39.12/5.57 sQ175_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f11445])).
% 39.12/5.57 fof(f11454,plain,(
% 39.12/5.57 ![X0,X1]: (c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_Osynth(c_Message_OsymKeys),X1)=c_Message_Osynth(c_Message_OsymKeys))),
% 39.12/5.57 inference(resolution,[status(thm)],[f11172,f987])).
% 39.12/5.57 fof(f11524,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f9252,f1302])).
% 39.12/5.57 fof(f11543,plain,(
% 39.12/5.57 hBOOL(c_in(v_evs,c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f9318,f9252])).
% 39.12/5.57 fof(f11550,plain,(
% 39.12/5.57 hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),tc_Message_Omsg))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3546,f9252])).
% 39.12/5.57 fof(f11552,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy))),tc_Message_Omsg))|~sQ91_spl)),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f6124,f9252])).
% 39.12/5.57 fof(f11576,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(X0,c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))|~sQ91_spl)),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1191,f11552])).
% 39.12/5.57 fof(f11730,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),v_evs))|X0=v_evs)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f9865])).
% 39.12/5.57 fof(f11734,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),v_evs))|X0=v_evs)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f9769])).
% 39.12/5.57 fof(f11737,plain,(
% 39.12/5.57 ![X0,X1,X2]: (hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1)),v_evs))|X2=v_evs)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f7563])).
% 39.12/5.57 fof(f11739,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oanalz(c_Event_Obad),c_Message_Oagent_OSpy))|X0=c_Message_Oagent_OSpy)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f5866])).
% 39.12/5.57 fof(f11740,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),c_List_Olist_ONil(tc_Event_Oevent)))|X0=c_List_Olist_ONil(tc_Event_Oevent))),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f5851])).
% 39.12/5.57 fof(f11741,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),v_evs))|X0=v_evs)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f5864])).
% 39.12/5.57 fof(f11742,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Osynth(c_Event_Obad),c_Message_Oagent_OSpy))|X0=c_Message_Oagent_OSpy)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f11066])).
% 39.12/5.57 fof(f11743,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),v_evs))|X0=v_evs)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f9773])).
% 39.12/5.57 fof(f11746,plain,(
% 39.12/5.57 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X1),v_evs))|X2=v_evs)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f7220])).
% 39.12/5.57 fof(f11747,plain,(
% 39.12/5.57 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1),v_evs))|X2=v_evs)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f5911])).
% 39.12/5.57 fof(f11749,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy))|X0=c_Message_Oagent_OSpy)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f5835])).
% 39.12/5.57 fof(f11750,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,c_List_Olist_ONil(tc_Event_Oevent)))|X0=c_List_Olist_ONil(tc_Event_Oevent))),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f5852])).
% 39.12/5.57 fof(f11751,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs))|X0=v_evs)),
% 39.12/5.57 inference(resolution,[status(thm)],[f788,f5728])).
% 39.12/5.57 fof(f11787,definition,(
% 39.12/5.57 sQ179_spl <=> (hBOOL(hAPP(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),v_evs)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11790,definition,(
% 39.12/5.57 ![X0]: (sQ180_spl <=> (X0=v_evs))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11791,plain,(
% 39.12/5.57 ![X0]: (X0=v_evs|~sQ180_spl)),
% 39.12/5.57 inference(component_clause,[status(thm)],[f11790])).
% 39.12/5.57 fof(f11793,plain,(
% 39.12/5.57 sQ179_spl|sQ180_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11730,f11787,f11790])).
% 39.12/5.57 fof(f11797,definition,(
% 39.12/5.57 ![X0]: (sQ182_spl <=> (X0=hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11798,plain,(
% 39.12/5.57 ![X0]: (X0=hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))|~sQ182_spl)),
% 39.12/5.57 inference(component_clause,[status(thm)],[f11797])).
% 39.12/5.57 fof(f11801,definition,(
% 39.12/5.57 sQ183_spl <=> (hBOOL(hAPP(c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),v_evs)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11804,plain,(
% 39.12/5.57 sQ183_spl|sQ180_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11734,f11801,f11790])).
% 39.12/5.57 fof(f11805,definition,(
% 39.12/5.57 ![X0,X1]: (sQ184_spl <=> (hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1)),v_evs))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11808,plain,(
% 39.12/5.57 sQ184_spl|sQ180_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11737,f11805,f11790])).
% 39.12/5.57 fof(f11809,definition,(
% 39.12/5.57 sQ185_spl <=> (hBOOL(hAPP(c_Message_Oanalz(c_Event_Obad),c_Message_Oagent_OSpy)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11812,definition,(
% 39.12/5.57 ![X0]: (sQ186_spl <=> (X0=c_Message_Oagent_OSpy))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11813,plain,(
% 39.12/5.57 ![X0]: (X0=c_Message_Oagent_OSpy|~sQ186_spl)),
% 39.12/5.57 inference(component_clause,[status(thm)],[f11812])).
% 39.12/5.57 fof(f11815,plain,(
% 39.12/5.57 sQ185_spl|sQ186_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11739,f11809,f11812])).
% 39.12/5.57 fof(f11816,definition,(
% 39.12/5.57 sQ187_spl <=> (hBOOL(hAPP(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11819,definition,(
% 39.12/5.57 ![X0]: (sQ188_spl <=> (X0=c_List_Olist_ONil(tc_Event_Oevent)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11820,plain,(
% 39.12/5.57 ![X0]: (X0=c_List_Olist_ONil(tc_Event_Oevent)|~sQ188_spl)),
% 39.12/5.57 inference(component_clause,[status(thm)],[f11819])).
% 39.12/5.57 fof(f11822,plain,(
% 39.12/5.57 sQ187_spl|sQ188_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11740,f11816,f11819])).
% 39.12/5.57 fof(f11823,definition,(
% 39.12/5.57 sQ189_spl <=> (hBOOL(hAPP(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),v_evs)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11826,plain,(
% 39.12/5.57 sQ189_spl|sQ180_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11741,f11823,f11790])).
% 39.12/5.57 fof(f11827,definition,(
% 39.12/5.57 sQ190_spl <=> (hBOOL(hAPP(c_Message_Osynth(c_Event_Obad),c_Message_Oagent_OSpy)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11830,plain,(
% 39.12/5.57 sQ190_spl|sQ186_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11742,f11827,f11812])).
% 39.12/5.57 fof(f11831,definition,(
% 39.12/5.57 sQ191_spl <=> (hBOOL(hAPP(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),v_evs)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11834,plain,(
% 39.12/5.57 sQ191_spl|sQ180_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11743,f11831,f11790])).
% 39.12/5.57 fof(f11835,definition,(
% 39.12/5.57 ![X0,X1]: (sQ192_spl <=> (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X1),v_evs))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11838,plain,(
% 39.12/5.57 sQ192_spl|sQ180_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11746,f11835,f11790])).
% 39.12/5.57 fof(f11839,definition,(
% 39.12/5.57 ![X0,X1]: (sQ193_spl <=> (hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,X1),v_evs))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11842,plain,(
% 39.12/5.57 sQ193_spl|sQ180_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11747,f11839,f11790])).
% 39.12/5.57 fof(f11843,definition,(
% 39.12/5.57 sQ194_spl <=> (hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11846,plain,(
% 39.12/5.57 sQ194_spl|sQ186_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11749,f11843,f11812])).
% 39.12/5.57 fof(f11847,definition,(
% 39.12/5.57 sQ195_spl <=> (hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11850,plain,(
% 39.12/5.57 sQ195_spl|sQ188_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11750,f11847,f11819])).
% 39.12/5.57 fof(f11851,definition,(
% 39.12/5.57 sQ196_spl <=> (hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f11854,plain,(
% 39.12/5.57 sQ196_spl|sQ180_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f11751,f11851,f11790])).
% 39.12/5.57 fof(f11855,plain,(
% 39.12/5.57 $false|~sQ182_spl),
% 39.12/5.57 inference(resolution,[status(thm)],[f11798,f1207])).
% 39.12/5.57 fof(f11916,plain,(
% 39.12/5.57 ~sQ182_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f11855])).
% 39.12/5.57 fof(f11917,plain,(
% 39.12/5.57 $false|~sQ180_spl),
% 39.12/5.57 inference(resolution,[status(thm)],[f11791,f930])).
% 39.12/5.57 fof(f11980,plain,(
% 39.12/5.57 ~sQ180_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f11917])).
% 39.12/5.57 fof(f11983,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),X0)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f11543,f2295])).
% 39.12/5.57 fof(f11984,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),X0)=c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))))),
% 39.12/5.57 inference(resolution,[status(thm)],[f11543,f3569])).
% 39.12/5.57 fof(f11991,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),X0)=c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f11984])).
% 39.12/5.57 fof(f11992,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(v_evs,c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),X0)=c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f11991])).
% 39.12/5.57 fof(f12014,plain,(
% 39.12/5.57 $false|~sQ91_spl),
% 39.12/5.57 inference(resolution,[status(thm)],[f11576,f1045])).
% 39.12/5.57 fof(f12029,plain,(
% 39.12/5.57 ~sQ91_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f12014])).
% 39.12/5.57 fof(f12045,plain,(
% 39.12/5.57 $false|~sQ186_spl),
% 39.12/5.57 inference(backward_subsumption_resolution,[status(thm)],[f1224,f11813])).
% 39.12/5.57 fof(f12099,plain,(
% 39.12/5.57 ~sQ186_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f12045])).
% 39.12/5.57 fof(f12162,plain,(
% 39.12/5.57 $false|~sQ188_spl),
% 39.12/5.57 inference(resolution,[status(thm)],[f11820,f930])).
% 39.12/5.57 fof(f12204,plain,(
% 39.12/5.57 ~sQ188_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f12162])).
% 39.12/5.57 fof(f12207,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),X0)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f11550,f2295])).
% 39.12/5.57 fof(f12208,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)),X0)=c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f11550,f3569])).
% 39.12/5.57 fof(f12215,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),X0)=c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f12208])).
% 39.12/5.57 fof(f12216,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),X0)=c_Message_Oparts(c_Event_Obad))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f12215])).
% 39.12/5.57 fof(f12287,plain,(
% 39.12/5.57 hBOOL(hAPP(c_Message_Oparts(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),c_List_Olist_ONil(tc_Event_Oevent)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3539,f11524])).
% 39.12/5.57 fof(f12291,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oparts(c_Message_Oanalz(c_Message_OsymKeys)),hAPP(c_Public_OshrK,X0))))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3547,f11524])).
% 39.12/5.57 fof(f12295,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(X0,X1))),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f3776,f11524])).
% 39.12/5.57 fof(f12304,plain,(
% 39.12/5.57 hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_Event_Obad)),c_Message_Oagent_OSpy))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f10763,f11524])).
% 39.12/5.57 fof(f12317,plain,(
% 39.12/5.57 hBOOL(hAPP(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),c_List_Olist_ONil(tc_Event_Oevent)))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1191,f12287])).
% 39.12/5.57 fof(f12319,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oparts(c_Message_OsymKeys),hAPP(c_Public_OshrK,X0))))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1191,f12291])).
% 39.12/5.57 fof(f12320,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(X0,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1191,f12295])).
% 39.12/5.57 fof(f12326,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Message_Osynth(c_Event_Obad)),X0)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f12304,f1300])).
% 39.12/5.57 fof(f12494,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),X0)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f12317,f1300])).
% 39.12/5.57 fof(f12550,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)),tc_Message_Omsg)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f12216,f1254])).
% 39.12/5.57 fof(f12556,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Osynth(c_Message_Oparts(c_Event_Obad)),X0)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f12216,f11004])).
% 39.12/5.57 fof(f12562,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)),X1),c_Message_Oagent_OSpy)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f12216,f5867])).
% 39.12/5.57 fof(f12592,definition,(
% 39.12/5.57 ![X0]: (sQ198_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f12595,definition,(
% 39.12/5.57 sQ199_spl <=> (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)),tc_Message_Omsg)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f12597,plain,(
% 39.12/5.57 ~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oparts(c_Event_Obad)),tc_Message_Omsg))|sQ199_spl),
% 39.12/5.57 inference(component_clause,[status(thm)],[f12595])).
% 39.12/5.57 fof(f12598,plain,(
% 39.12/5.57 sQ198_spl|~sQ199_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f12550,f12592,f12595])).
% 39.12/5.57 fof(f12605,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oparts(c_Event_Obad),X1),c_Message_Oagent_OSpy)))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f12562])).
% 39.12/5.57 fof(f12613,plain,(
% 39.12/5.57 ~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),tc_Message_Omsg))|sQ199_spl),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f12597])).
% 39.12/5.57 fof(f12614,plain,(
% 39.12/5.57 $false|sQ199_spl),
% 39.12/5.57 inference(forward_subsumption_resolution,[status(thm)],[f12613,f12207])).
% 39.12/5.57 fof(f12615,plain,(
% 39.12/5.57 sQ199_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f12614])).
% 39.12/5.57 fof(f12699,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oparts(c_Message_OsymKeys),X1)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f12319,f1300])).
% 39.12/5.57 fof(f12703,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))),X0)=c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))))),
% 39.12/5.57 inference(resolution,[status(thm)],[f12326,f3569])).
% 39.12/5.57 fof(f12711,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oparts(c_Message_Osynth(c_Event_Obad)),X0)=c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f12703])).
% 39.12/5.57 fof(f12712,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oparts(c_Message_Osynth(c_Event_Obad)),X0)=c_Message_Oparts(c_Message_Osynth(c_Event_Obad)))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f12711])).
% 39.12/5.57 fof(f12754,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),X0)=c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f12494,f3569])).
% 39.12/5.57 fof(f12762,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),X0)=c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f12754])).
% 39.12/5.57 fof(f12763,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),X0)=c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f12762])).
% 39.12/5.57 fof(f12984,plain,(
% 39.12/5.57 ![X0]: (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Osynth(c_Message_Oparts(c_Event_Obad)),X0)=c_Message_Osynth(c_Message_Oparts(c_Event_Obad)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f12556,f987])).
% 39.12/5.57 fof(f13081,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oparts(c_Event_Obad),c_Message_Oagent_OSpy))|X0=c_Message_Oagent_OSpy)),
% 39.12/5.57 inference(resolution,[status(thm)],[f12605,f788])).
% 39.12/5.57 fof(f13084,definition,(
% 39.12/5.57 sQ200_spl <=> (hBOOL(hAPP(c_Message_Oparts(c_Event_Obad),c_Message_Oagent_OSpy)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f13087,plain,(
% 39.12/5.57 sQ200_spl|sQ186_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f13081,f13084,f11812])).
% 39.12/5.57 fof(f13091,plain,(
% 39.12/5.57 ![X0,X1]: (c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)),X1)=c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f12699,f3569])).
% 39.12/5.57 fof(f13099,plain,(
% 39.12/5.57 ![X0,X1]: (c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_Oparts(c_Message_OsymKeys),X1)=c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f13091])).
% 39.12/5.57 fof(f13100,plain,(
% 39.12/5.57 ![X0,X1]: (c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_Oparts(c_Message_OsymKeys),X1)=c_Message_Oparts(c_Message_OsymKeys))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f13099])).
% 39.12/5.57 fof(f13502,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f9306,f1254])).
% 39.12/5.57 fof(f13544,definition,(
% 39.12/5.57 ![X0]: (sQ202_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f13547,definition,(
% 39.12/5.57 sQ203_spl <=> (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f13549,plain,(
% 39.12/5.57 ~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|sQ203_spl),
% 39.12/5.57 inference(component_clause,[status(thm)],[f13547])).
% 39.12/5.57 fof(f13550,plain,(
% 39.12/5.57 sQ202_spl|~sQ203_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f13502,f13544,f13547])).
% 39.12/5.57 fof(f13566,plain,(
% 39.12/5.57 ~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|sQ203_spl),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1291,f13549])).
% 39.12/5.57 fof(f13567,plain,(
% 39.12/5.57 $false|sQ203_spl),
% 39.12/5.57 inference(forward_subsumption_resolution,[status(thm)],[f13566,f9781])).
% 39.12/5.57 fof(f13568,plain,(
% 39.12/5.57 sQ203_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f13567])).
% 39.12/5.57 fof(f13629,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),X1),c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f11196,f5870])).
% 39.12/5.57 fof(f13637,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),X0)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f11196,f2831])).
% 39.12/5.57 fof(f13651,definition,(
% 39.12/5.57 sQ204_spl <=> (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f13653,plain,(
% 39.12/5.57 ~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|sQ204_spl),
% 39.12/5.57 inference(component_clause,[status(thm)],[f13651])).
% 39.12/5.57 fof(f13828,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),X1),c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f12763,f5867])).
% 39.12/5.57 fof(f13855,definition,(
% 39.12/5.57 sQ205_spl <=> (hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f13857,plain,(
% 39.12/5.57 ~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oanalz(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|sQ205_spl),
% 39.12/5.57 inference(component_clause,[status(thm)],[f13855])).
% 39.12/5.57 fof(f13867,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),X1),c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f13828])).
% 39.12/5.57 fof(f13875,plain,(
% 39.12/5.57 ~hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|sQ205_spl),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f13857])).
% 39.12/5.57 fof(f13876,plain,(
% 39.12/5.57 $false|sQ205_spl),
% 39.12/5.57 inference(forward_subsumption_resolution,[status(thm)],[f13875,f12494])).
% 39.12/5.57 fof(f13877,plain,(
% 39.12/5.57 sQ205_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f13876])).
% 39.12/5.57 fof(f14070,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f10011,f1254])).
% 39.12/5.57 fof(f14088,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),X1),v_evs)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f10011,f5870])).
% 39.12/5.57 fof(f14096,plain,(
% 39.12/5.57 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),X0)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f10011,f2831])).
% 39.12/5.57 fof(f14113,definition,(
% 39.12/5.57 ![X0]: (sQ207_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f14116,definition,(
% 39.12/5.57 sQ208_spl <=> (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f14118,plain,(
% 39.12/5.57 ~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|sQ208_spl),
% 39.12/5.57 inference(component_clause,[status(thm)],[f14116])).
% 39.12/5.57 fof(f14119,plain,(
% 39.12/5.57 sQ207_spl|~sQ208_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f14070,f14113,f14116])).
% 39.12/5.57 fof(f14160,plain,(
% 39.12/5.57 ![X0,X1,X2]: (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)|hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.57 inference(resolution,[status(thm)],[f7894,f1290])).
% 39.12/5.57 fof(f14171,definition,(
% 39.12/5.57 ![X0,X1,X2]: (sQ209_spl <=> (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X2)|hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f14174,definition,(
% 39.12/5.57 sQ210_spl <=> (hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f14176,plain,(
% 39.12/5.57 ~hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|sQ210_spl),
% 39.12/5.57 inference(component_clause,[status(thm)],[f14174])).
% 39.12/5.57 fof(f14177,plain,(
% 39.12/5.57 sQ209_spl|~sQ210_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f14160,f14171,f14174])).
% 39.12/5.57 fof(f14183,plain,(
% 39.12/5.57 $false|sQ210_spl),
% 39.12/5.57 inference(forward_subsumption_resolution,[status(thm)],[f14176,f1358])).
% 39.12/5.57 fof(f14184,plain,(
% 39.12/5.57 sQ210_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f14183])).
% 39.12/5.57 fof(f14639,definition,(
% 39.12/5.57 sQ213_spl <=> (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f14641,plain,(
% 39.12/5.57 ~c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),c_Orderings_Obot__class_Obot(tc_bool),tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)|sQ213_spl),
% 39.12/5.57 inference(component_clause,[status(thm)],[f14639])).
% 39.12/5.57 fof(f14643,plain,(
% 39.12/5.57 ~c_Orderings_Obot__class_Obot(tc_bool)=c_Orderings_Obot__class_Obot(tc_bool)|sQ213_spl),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f2688,f14641])).
% 39.12/5.57 fof(f14644,plain,(
% 39.12/5.57 $false|sQ213_spl),
% 39.12/5.57 inference(trivial_equality_resolution,[status(thm)],[f14643])).
% 39.12/5.57 fof(f14645,plain,(
% 39.12/5.57 sQ213_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f14644])).
% 39.12/5.57 fof(f14662,definition,(
% 39.12/5.57 ![X0]: (sQ214_spl <=> (hBOOL(hAPP(X0,v_evs))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f14663,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(X0,v_evs))|~sQ214_spl)),
% 39.12/5.57 inference(component_clause,[status(thm)],[f14662])).
% 39.12/5.57 fof(f14701,plain,(
% 39.12/5.57 $false|~sQ214_spl),
% 39.12/5.57 inference(resolution,[status(thm)],[f14663,f838])).
% 39.12/5.57 fof(f14705,plain,(
% 39.12/5.57 ~sQ214_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f14701])).
% 39.12/5.57 fof(f14856,definition,(
% 39.12/5.57 sQ215_spl <=> (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_nat),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_nat))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f14858,plain,(
% 39.12/5.57 ~c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_nat),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|sQ215_spl),
% 39.12/5.57 inference(component_clause,[status(thm)],[f14856])).
% 39.12/5.57 fof(f14861,plain,(
% 39.12/5.57 ~c_Orderings_Obot__class_Obot(tc_nat)=c_Orderings_Obot__class_Obot(tc_nat)|~sQ60_spl|sQ215_spl),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f4075,f14858])).
% 39.12/5.57 fof(f14862,plain,(
% 39.12/5.57 $false|~sQ60_spl|sQ215_spl),
% 39.12/5.57 inference(trivial_equality_resolution,[status(thm)],[f14861])).
% 39.12/5.57 fof(f14863,plain,(
% 39.12/5.57 ~sQ60_spl|sQ215_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f14862])).
% 39.12/5.57 fof(f15019,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),c_Message_Oagent_OSpy))|X0=c_Message_Oagent_OSpy)),
% 39.12/5.57 inference(resolution,[status(thm)],[f11062,f788])).
% 39.12/5.57 fof(f15025,definition,(
% 39.12/5.57 sQ216_spl <=> (hBOOL(hAPP(c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),c_Message_Oagent_OSpy)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15028,plain,(
% 39.12/5.57 sQ216_spl|sQ186_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f15019,f15025,f11812])).
% 39.12/5.57 fof(f15070,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))|~class_Orderings_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f829,f777])).
% 39.12/5.57 fof(f15075,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg))|~class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.57 inference(resolution,[status(thm)],[f829,f1102])).
% 39.12/5.57 fof(f15083,definition,(
% 39.12/5.57 ![X0,X1]: (sQ217_spl <=> (hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15086,plain,(
% 39.12/5.57 sQ217_spl|~sQ44_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f15070,f15083,f2919])).
% 39.12/5.57 fof(f15088,definition,(
% 39.12/5.57 ![X0,X1]: (sQ218_spl <=> (hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15092,plain,(
% 39.12/5.57 sQ218_spl|~sQ47_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f15075,f15088,f2931])).
% 39.12/5.57 fof(f15102,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),v_evs))|X0=v_evs)),
% 39.12/5.57 inference(resolution,[status(thm)],[f14088,f788])).
% 39.12/5.57 fof(f15107,definition,(
% 39.12/5.57 sQ219_spl <=> (hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared)),v_evs)))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15110,plain,(
% 39.12/5.57 sQ219_spl|sQ180_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f15102,f15107,f11790])).
% 39.12/5.57 fof(f15111,plain,(
% 39.12/5.57 $false|sQ208_spl),
% 39.12/5.57 inference(forward_subsumption_resolution,[status(thm)],[f14118,f14096])).
% 39.12/5.57 fof(f15112,plain,(
% 39.12/5.57 sQ208_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f15111])).
% 39.12/5.57 fof(f15201,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Message_Oanalz(c_Message_Osynth(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_OsymKeys)),tc_Message_Omsg)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f11454,f1254])).
% 39.12/5.57 fof(f15228,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_Osynth(c_Message_OsymKeys)),X1)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f11454,f2831])).
% 39.12/5.57 fof(f15244,definition,(
% 39.12/5.57 ![X0]: (sQ221_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_OsymKeys)),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15247,definition,(
% 39.12/5.57 ![X1]: (sQ222_spl <=> (~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Message_Oanalz(c_Message_Osynth(c_Message_OsymKeys)),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15248,plain,(
% 39.12/5.57 ![X0]: (~hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_Osynth(c_Message_OsymKeys)),tc_Message_Omsg))|~sQ222_spl)),
% 39.12/5.57 inference(component_clause,[status(thm)],[f15247])).
% 39.12/5.57 fof(f15250,plain,(
% 39.12/5.57 sQ221_spl|sQ222_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f15201,f15244,f15247])).
% 39.12/5.57 fof(f15322,plain,(
% 39.12/5.57 ~class_Orderings_Obot(tc_bool)|sQ44_spl),
% 39.12/5.57 inference(resolution,[status(thm)],[f2921,f1318])).
% 39.12/5.57 fof(f15323,plain,(
% 39.12/5.57 ~sQ56_spl|sQ44_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f15322,f4032,f2919])).
% 39.12/5.57 fof(f15512,plain,(
% 39.12/5.57 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)),tc_Message_Omsg)))),
% 39.12/5.57 inference(paramodulation,[status(thm)],[f13100,f1254])).
% 39.12/5.57 fof(f15558,definition,(
% 39.12/5.57 ![X0]: (sQ224_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15561,definition,(
% 39.12/5.57 ![X1]: (sQ225_spl <=> (~hBOOL(c_in(hAPP(c_Public_OshrK,X1),c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)),tc_Message_Omsg))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15562,plain,(
% 39.12/5.57 ![X0]: (~hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_Oparts(c_Message_OsymKeys)),tc_Message_Omsg))|~sQ225_spl)),
% 39.12/5.57 inference(component_clause,[status(thm)],[f15561])).
% 39.12/5.57 fof(f15564,plain,(
% 39.12/5.57 sQ224_spl|sQ225_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f15512,f15558,f15561])).
% 39.12/5.57 fof(f15581,plain,(
% 39.12/5.57 ![X0]: (~hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oparts(c_Message_OsymKeys),tc_Message_Omsg))|~sQ225_spl)),
% 39.12/5.57 inference(forward_demodulation,[status(thm)],[f1196,f15562])).
% 39.12/5.57 fof(f15582,plain,(
% 39.12/5.57 $false|~sQ225_spl),
% 39.12/5.57 inference(forward_subsumption_resolution,[status(thm)],[f15581,f12699])).
% 39.12/5.57 fof(f15583,plain,(
% 39.12/5.57 ~sQ225_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f15582])).
% 39.12/5.57 fof(f15760,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),c_List_Olist_ONil(tc_Event_Oevent)))|X0=c_List_Olist_ONil(tc_Event_Oevent))),
% 39.12/5.57 inference(resolution,[status(thm)],[f13629,f788])).
% 39.12/5.57 fof(f15766,definition,(
% 39.12/5.57 sQ226_spl <=> (hBOOL(hAPP(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared),c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15769,plain,(
% 39.12/5.57 sQ226_spl|sQ188_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f15760,f15766,f11819])).
% 39.12/5.57 fof(f15770,plain,(
% 39.12/5.57 $false|sQ204_spl),
% 39.12/5.57 inference(forward_subsumption_resolution,[status(thm)],[f13653,f13637])).
% 39.12/5.57 fof(f15771,plain,(
% 39.12/5.57 sQ204_spl),
% 39.12/5.57 inference(contradiction_clause,[status(thm)],[f15770])).
% 39.12/5.57 fof(f15963,plain,(
% 39.12/5.57 ![X0]: (hBOOL(hAPP(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),c_List_Olist_ONil(tc_Event_Oevent)))|X0=c_List_Olist_ONil(tc_Event_Oevent))),
% 39.12/5.57 inference(resolution,[status(thm)],[f13867,f788])).
% 39.12/5.57 fof(f15967,definition,(
% 39.12/5.57 sQ227_spl <=> (hBOOL(hAPP(c_Message_Oparts(c_NS__Shared__Mirabelle_Ons__shared),c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.57 introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition])).
% 39.12/5.57 fof(f15970,plain,(
% 39.12/5.57 sQ227_spl|sQ188_spl),
% 39.12/5.57 inference(split_clause,[status(thm)],[f15963,f15967,f11819])).
% 39.12/5.57 fof(f16153,plain,(
% 39.12/5.59 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f10038,f1254])).
% 39.12/5.59 fof(f16173,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),X1),v_evs)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f10038,f5870])).
% 39.12/5.59 fof(f16181,plain,(
% 39.12/5.59 ![X0]: (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),X0)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f10038,f2831])).
% 39.12/5.59 fof(f16197,definition,(
% 39.12/5.59 ![X0]: (sQ229_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f16200,definition,(
% 39.12/5.59 sQ230_spl <=> (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f16202,plain,(
% 39.12/5.59 ~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|sQ230_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f16200])).
% 39.12/5.59 fof(f16203,plain,(
% 39.12/5.59 sQ229_spl|~sQ230_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f16153,f16197,f16200])).
% 39.12/5.59 fof(f16538,plain,(
% 39.12/5.59 ![X0]: (c_Message_Oparts(X0)=X0|~c_lessequals(c_Message_Oparts(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.59 inference(resolution,[status(thm)],[f852,f830])).
% 39.12/5.59 fof(f16553,plain,(
% 39.12/5.59 ![X0]: (hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),v_evs))|X0=v_evs)),
% 39.12/5.59 inference(resolution,[status(thm)],[f16173,f788])).
% 39.12/5.59 fof(f16558,definition,(
% 39.12/5.59 sQ231_spl <=> (hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),v_evs)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f16561,plain,(
% 39.12/5.59 sQ231_spl|sQ180_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f16553,f16558,f11790])).
% 39.12/5.59 fof(f16562,plain,(
% 39.12/5.59 $false|sQ230_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f16202,f16181])).
% 39.12/5.59 fof(f16563,plain,(
% 39.12/5.59 sQ230_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f16562])).
% 39.12/5.59 fof(f16907,plain,(
% 39.12/5.59 c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))|~c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f759,f16538])).
% 39.12/5.59 fof(f16914,definition,(
% 39.12/5.59 sQ233_spl <=> (c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f16917,definition,(
% 39.12/5.59 sQ234_spl <=> (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f16919,plain,(
% 39.12/5.59 ~c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))|sQ234_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f16917])).
% 39.12/5.59 fof(f16920,plain,(
% 39.12/5.59 sQ233_spl|~sQ234_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f16907,f16914,f16917])).
% 39.12/5.59 fof(f16922,plain,(
% 39.12/5.59 $false|sQ234_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f16919,f775])).
% 39.12/5.59 fof(f16923,plain,(
% 39.12/5.59 sQ234_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f16922])).
% 39.12/5.59 fof(f16988,plain,(
% 39.12/5.59 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(X0))),
% 39.12/5.59 inference(resolution,[status(thm)],[f864,f830])).
% 39.12/5.59 fof(f17103,plain,(
% 39.12/5.59 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f11992,f1254])).
% 39.12/5.59 fof(f17120,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),X1),v_evs)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f11992,f5867])).
% 39.12/5.59 fof(f17149,definition,(
% 39.12/5.59 ![X0]: (sQ237_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f17152,definition,(
% 39.12/5.59 sQ238_spl <=> (hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f17154,plain,(
% 39.12/5.59 ~hBOOL(c_in(v_evs,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared))),tc_Message_Omsg))|sQ238_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f17152])).
% 39.12/5.59 fof(f17155,plain,(
% 39.12/5.59 sQ237_spl|~sQ238_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f17103,f17149,f17152])).
% 39.12/5.59 fof(f17164,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),X1),v_evs)))),
% 39.12/5.59 inference(forward_demodulation,[status(thm)],[f1196,f17120])).
% 39.12/5.59 fof(f17172,plain,(
% 39.12/5.59 ~hBOOL(c_in(v_evs,c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg))|sQ238_spl),
% 39.12/5.59 inference(forward_demodulation,[status(thm)],[f1196,f17154])).
% 39.12/5.59 fof(f17173,plain,(
% 39.12/5.59 $false|sQ238_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f17172,f11983])).
% 39.12/5.59 fof(f17174,plain,(
% 39.12/5.59 sQ238_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f17173])).
% 39.12/5.59 fof(f17195,plain,(
% 39.12/5.59 ![X0]: (hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),v_evs))|X0=v_evs)),
% 39.12/5.59 inference(resolution,[status(thm)],[f17164,f788])).
% 39.12/5.59 fof(f17200,definition,(
% 39.12/5.59 sQ239_spl <=> (hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_NS__Shared__Mirabelle_Ons__shared)),v_evs)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f17203,plain,(
% 39.12/5.59 sQ239_spl|sQ180_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f17195,f17200,f11790])).
% 39.12/5.59 fof(f19017,plain,(
% 39.12/5.59 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Event_Obad,X2),X3),c_Message_Oagent_OSpy)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f5566,f5870])).
% 39.12/5.59 fof(f19047,plain,(
% 39.12/5.59 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Obad,X1),c_Message_Oagent_OSpy))|X2=c_Message_Oagent_OSpy)),
% 39.12/5.59 inference(resolution,[status(thm)],[f19017,f788])).
% 39.12/5.59 fof(f19057,definition,(
% 39.12/5.59 ![X0,X1]: (sQ246_spl <=> (hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Obad,X1),c_Message_Oagent_OSpy))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f19060,plain,(
% 39.12/5.59 sQ246_spl|sQ186_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f19047,f19057,f11812])).
% 39.12/5.59 fof(f19134,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Message_Oparts(X0),X1))|~hBOOL(hAPP(X0,X1)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f16988,f818])).
% 39.12/5.59 fof(f19179,plain,(
% 39.12/5.59 ![X0,X1,X2]: (~hBOOL(hAPP(X0,X1))|hBOOL(c_in(X1,c_Message_Oparts(X0),X2)))),
% 39.12/5.59 inference(resolution,[status(thm)],[f19134,f1300])).
% 39.12/5.59 fof(f19427,plain,(
% 39.12/5.59 ![X0,X1,X2]: (~hBOOL(hAPP(c_Message_Oanalz(X0),X1))|hBOOL(c_in(X1,c_Message_Oparts(X0),X2)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f1191,f19179])).
% 39.12/5.59 fof(f19950,definition,(
% 39.12/5.59 sQ250_spl <=> (c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f19952,plain,(
% 39.12/5.59 ~c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|sQ250_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f19950])).
% 39.12/5.59 fof(f19987,plain,(
% 39.12/5.59 $false|sQ250_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f19952,f797])).
% 39.12/5.59 fof(f19988,plain,(
% 39.12/5.59 sQ250_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f19987])).
% 39.12/5.59 fof(f20576,plain,(
% 39.12/5.59 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)=c_Event_Oknows(c_Message_Oagent_OSpy,X1)|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f821,f2491])).
% 39.12/5.59 fof(f20579,plain,(
% 39.12/5.59 ![X0,X1,X2,X3,X4]: (c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))=c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)|sQ0_spl)),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f2491,f10050])).
% 39.12/5.59 fof(f20585,plain,(
% 39.12/5.59 ![X0,X1,X2,X3,X4,X5,X6]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X2),X3,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X3)|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X4,X5),X6,tc_Event_Oevent))=c_Set_Oinsert(X5,c_Event_Oknows(c_Message_Oagent_OSpy,X6),tc_Message_Omsg))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f2491,f3134])).
% 39.12/5.59 fof(f20587,plain,(
% 39.12/5.59 ![X0,X1,X2,X3,X4,X5,X6,X7]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),X4,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X4)|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X6),X7,tc_Event_Oevent))=c_Set_Oinsert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X7),tc_Message_Omsg))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f2491,f2495])).
% 39.12/5.59 fof(f20592,plain,(
% 39.12/5.59 ![X0,X1,X2,X3]: (c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f2491,f757])).
% 39.12/5.59 fof(f20596,plain,(
% 39.12/5.59 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f2491,f12320])).
% 39.12/5.59 fof(f20597,plain,(
% 39.12/5.59 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))|c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f2491,f10977])).
% 39.12/5.59 fof(f20612,definition,(
% 39.12/5.59 ![X2,X3]: (sQ253_spl <=> (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f20615,plain,(
% 39.12/5.59 sQ88_spl|sQ253_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f20576,f5960,f20612])).
% 39.12/5.59 fof(f20618,definition,(
% 39.12/5.59 ![X0,X1]: (sQ254_spl <=> (c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f20621,plain,(
% 39.12/5.59 sQ254_spl|sQ77_spl|sQ0_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f20579,f20618,f5438,f1338])).
% 39.12/5.59 fof(f20622,plain,(
% 39.12/5.59 sQ161_spl|sQ77_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f20585,f10222,f5438])).
% 39.12/5.59 fof(f20623,plain,(
% 39.12/5.59 sQ163_spl|sQ77_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f20587,f10229,f5438])).
% 39.12/5.59 fof(f20625,plain,(
% 39.12/5.59 sQ164_spl|sQ77_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f20592,f10233,f5438])).
% 39.12/5.59 fof(f20626,definition,(
% 39.12/5.59 ![X0]: (sQ255_spl <=> (hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f20629,plain,(
% 39.12/5.59 sQ255_spl|sQ77_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f20596,f20626,f5438])).
% 39.12/5.59 fof(f20630,definition,(
% 39.12/5.59 ![X0]: (sQ256_spl <=> (hBOOL(hAPP(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f20633,plain,(
% 39.12/5.59 sQ256_spl|sQ77_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f20597,f20630,f5438])).
% 39.12/5.59 fof(f21026,definition,(
% 39.12/5.59 ![X0,X1]: (sQ257_spl <=> (c_Set_Oinsert(hAPP(X0,v_x),c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,X1),X1)=c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,X1)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f21027,plain,(
% 39.12/5.59 ![X0,X1]: (c_Set_Oinsert(hAPP(X0,v_x),c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,X1),X1)=c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,X1)|~sQ257_spl)),
% 39.12/5.59 inference(component_clause,[status(thm)],[f21026])).
% 39.12/5.59 fof(f21030,definition,(
% 39.12/5.59 sQ258_spl <=> (c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)=c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f21031,plain,(
% 39.12/5.59 c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)=c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))|~sQ258_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f21030])).
% 39.12/5.59 fof(f21034,definition,(
% 39.12/5.59 sQ259_spl <=> (hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f21035,plain,(
% 39.12/5.59 hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))|~sQ259_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f21034])).
% 39.12/5.59 fof(f21038,plain,(
% 39.12/5.59 hBOOL(c_Orderings_Obot__class_Obot(tc_bool))|~sQ259_spl),
% 39.12/5.59 inference(forward_demodulation,[status(thm)],[f2334,f21035])).
% 39.12/5.59 fof(f21039,plain,(
% 39.12/5.59 $false|~sQ259_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f21038,f9155])).
% 39.12/5.59 fof(f21040,plain,(
% 39.12/5.59 ~sQ259_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f21039])).
% 39.12/5.59 fof(f21041,plain,(
% 39.12/5.59 $false|~sQ258_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f21031,f4379])).
% 39.12/5.59 fof(f21042,plain,(
% 39.12/5.59 ~sQ258_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f21041])).
% 39.12/5.59 fof(f21043,plain,(
% 39.12/5.59 ![X0,X1]: (c_Set_Oinsert(hAPP(X0,v_x),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,X1)|~sQ257_spl)),
% 39.12/5.59 inference(forward_demodulation,[status(thm)],[f686,f21027])).
% 39.12/5.59 fof(f21044,plain,(
% 39.12/5.59 ![X0,X1]: (c_Set_Oinsert(hAPP(X0,v_x),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~sQ257_spl)),
% 39.12/5.59 inference(forward_demodulation,[status(thm)],[f686,f21043])).
% 39.12/5.59 fof(f21045,plain,(
% 39.12/5.59 $false|~sQ257_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f21044,f4379])).
% 39.12/5.59 fof(f21046,plain,(
% 39.12/5.59 ~sQ257_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f21045])).
% 39.12/5.59 fof(f21583,plain,(
% 39.12/5.59 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f10749,f1254])).
% 39.12/5.59 fof(f21638,definition,(
% 39.12/5.59 ![X0]: (sQ261_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f21641,definition,(
% 39.12/5.59 sQ262_spl <=> (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f21643,plain,(
% 39.12/5.59 ~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))|sQ262_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f21641])).
% 39.12/5.59 fof(f21644,plain,(
% 39.12/5.59 sQ261_spl|~sQ262_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f21583,f21638,f21641])).
% 39.12/5.59 fof(f21662,plain,(
% 39.12/5.59 ~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Event_Obad)),tc_Message_Omsg))|sQ262_spl),
% 39.12/5.59 inference(forward_demodulation,[status(thm)],[f1291,f21643])).
% 39.12/5.59 fof(f21663,plain,(
% 39.12/5.59 $false|sQ262_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f21662,f11074])).
% 39.12/5.59 fof(f21664,plain,(
% 39.12/5.59 sQ262_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f21663])).
% 39.12/5.59 fof(f21694,plain,(
% 39.12/5.59 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad))),tc_Message_Omsg)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f11184,f1254])).
% 39.12/5.59 fof(f21718,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),X1),c_Message_Oagent_OSpy)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f11184,f5870])).
% 39.12/5.59 fof(f21726,plain,(
% 39.12/5.59 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad))),X0)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f11184,f2831])).
% 39.12/5.59 fof(f21743,definition,(
% 39.12/5.59 ![X0]: (sQ264_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad))),tc_Message_Omsg))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f21746,definition,(
% 39.12/5.59 sQ265_spl <=> (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad))),tc_Message_Omsg)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f21748,plain,(
% 39.12/5.59 ~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad))),tc_Message_Omsg))|sQ265_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f21746])).
% 39.12/5.59 fof(f21749,plain,(
% 39.12/5.59 sQ264_spl|~sQ265_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f21694,f21743,f21746])).
% 39.12/5.59 fof(f21825,plain,(
% 39.12/5.59 ![X0]: (hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),c_Message_Oagent_OSpy))|X0=c_Message_Oagent_OSpy)),
% 39.12/5.59 inference(resolution,[status(thm)],[f21718,f788])).
% 39.12/5.59 fof(f21835,definition,(
% 39.12/5.59 sQ266_spl <=> (hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Obad)),c_Message_Oagent_OSpy)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f21838,plain,(
% 39.12/5.59 sQ266_spl|sQ186_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f21825,f21835,f11812])).
% 39.12/5.59 fof(f21839,plain,(
% 39.12/5.59 $false|sQ265_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f21748,f21726])).
% 39.12/5.59 fof(f21840,plain,(
% 39.12/5.59 sQ265_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f21839])).
% 39.12/5.59 fof(f21961,plain,(
% 39.12/5.59 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f12712,f1254])).
% 39.12/5.59 fof(f21983,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))),X1),c_Message_Oagent_OSpy)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f12712,f5867])).
% 39.12/5.59 fof(f22019,definition,(
% 39.12/5.59 ![X0]: (sQ268_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f22022,definition,(
% 39.12/5.59 sQ269_spl <=> (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f22024,plain,(
% 39.12/5.59 ~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Event_Obad))),tc_Message_Omsg))|sQ269_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f22022])).
% 39.12/5.59 fof(f22025,plain,(
% 39.12/5.59 sQ268_spl|~sQ269_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f21961,f22019,f22022])).
% 39.12/5.59 fof(f22035,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Oparts(c_Message_Osynth(c_Event_Obad)),X1),c_Message_Oagent_OSpy)))),
% 39.12/5.59 inference(forward_demodulation,[status(thm)],[f1196,f21983])).
% 39.12/5.59 fof(f22043,plain,(
% 39.12/5.59 ~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oparts(c_Message_Osynth(c_Event_Obad)),tc_Message_Omsg))|sQ269_spl),
% 39.12/5.59 inference(forward_demodulation,[status(thm)],[f1196,f22024])).
% 39.12/5.59 fof(f22044,plain,(
% 39.12/5.59 $false|sQ269_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f22043,f12326])).
% 39.12/5.59 fof(f22045,plain,(
% 39.12/5.59 sQ269_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f22044])).
% 39.12/5.59 fof(f22414,plain,(
% 39.12/5.59 ![X0,X1,X2,X3,X4,X5]: (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X3)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X2))))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|X0=c_Message_Oagent_OServer|~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f634,f903])).
% 39.12/5.59 fof(f22416,definition,(
% 39.12/5.59 ![X0,X1,X2,X3,X4,X5]: (sQ270_spl <=> (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X3)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(X4,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X2))))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))|X0=c_Message_Oagent_OServer))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f22419,definition,(
% 39.12/5.59 sQ271_spl <=> (hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f22421,plain,(
% 39.12/5.59 ~hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)))|sQ271_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f22419])).
% 39.12/5.59 fof(f22422,plain,(
% 39.12/5.59 sQ270_spl|~sQ271_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f22414,f22416,f22419])).
% 39.12/5.59 fof(f22424,plain,(
% 39.12/5.59 $false|sQ271_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f22421,f832])).
% 39.12/5.59 fof(f22425,plain,(
% 39.12/5.59 sQ271_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f22424])).
% 39.12/5.59 fof(f22583,plain,(
% 39.12/5.59 ![X0]: (hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_Event_Obad)),c_Message_Oagent_OSpy))|X0=c_Message_Oagent_OSpy)),
% 39.12/5.59 inference(resolution,[status(thm)],[f22035,f788])).
% 39.12/5.59 fof(f22593,definition,(
% 39.12/5.59 sQ274_spl <=> (hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_Event_Obad)),c_Message_Oagent_OSpy)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f22596,plain,(
% 39.12/5.59 sQ274_spl|sQ186_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f22583,f22593,f11812])).
% 39.12/5.59 fof(f22872,plain,(
% 39.12/5.59 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Event_Obad))),tc_Message_Omsg)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f12984,f1254])).
% 39.12/5.59 fof(f22898,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_Osynth(c_Message_Oparts(c_Event_Obad)),X1),c_Message_Oagent_OSpy)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f12984,f5870])).
% 39.12/5.59 fof(f22906,plain,(
% 39.12/5.59 ![X0]: (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Event_Obad))),X0)))),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f12984,f2831])).
% 39.12/5.59 fof(f22923,definition,(
% 39.12/5.59 ![X0]: (sQ276_spl <=> (hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Event_Obad))),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Event_Obad))),tc_Message_Omsg))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f22926,definition,(
% 39.12/5.59 sQ277_spl <=> (hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Event_Obad))),tc_Message_Omsg)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f22928,plain,(
% 39.12/5.59 ~hBOOL(c_in(c_Message_Oagent_OSpy,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(c_Event_Obad))),tc_Message_Omsg))|sQ277_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f22926])).
% 39.12/5.59 fof(f22929,plain,(
% 39.12/5.59 sQ276_spl|~sQ277_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f22872,f22923,f22926])).
% 39.12/5.59 fof(f23002,plain,(
% 39.12/5.59 ![X0]: (hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(c_Event_Obad)),c_Message_Oagent_OSpy))|X0=c_Message_Oagent_OSpy)),
% 39.12/5.59 inference(resolution,[status(thm)],[f22898,f788])).
% 39.12/5.59 fof(f23012,definition,(
% 39.12/5.59 sQ278_spl <=> (hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(c_Event_Obad)),c_Message_Oagent_OSpy)))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f23015,plain,(
% 39.12/5.59 sQ278_spl|sQ186_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f23002,f23012,f11812])).
% 39.12/5.59 fof(f23016,plain,(
% 39.12/5.59 $false|sQ277_spl),
% 39.12/5.59 inference(forward_subsumption_resolution,[status(thm)],[f22928,f22906])).
% 39.12/5.59 fof(f23017,plain,(
% 39.12/5.59 sQ277_spl),
% 39.12/5.59 inference(contradiction_clause,[status(thm)],[f23016])).
% 39.12/5.59 fof(f23176,plain,(
% 39.12/5.59 ![X0]: (c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))|~class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)))),
% 39.12/5.59 inference(resolution,[status(thm)],[f910,f1102])).
% 39.12/5.59 fof(f23193,definition,(
% 39.12/5.59 ![X0]: (sQ279_spl <=> (c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))))),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f23197,plain,(
% 39.12/5.59 sQ279_spl|~sQ47_spl),
% 39.12/5.59 inference(split_clause,[status(thm)],[f23176,f23193,f2931])).
% 39.12/5.59 fof(f23532,plain,(
% 39.12/5.59 ![X0]: (c_Event_Oknows(c_Message_Oagent_OSpy,X0)=c_Event_Oknows(c_Message_Oagent_OSpy,X0)|c_Set_Oinsert(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f2490,f6776])).
% 39.12/5.59 fof(f23535,plain,(
% 39.12/5.59 ![X0,X1]: (c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)=c_Event_Oknows(c_Message_Oagent_OSpy,X1)|c_Set_Oinsert(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f821,f6776])).
% 39.12/5.59 fof(f23539,plain,(
% 39.12/5.59 ![X0,X1,X2]: (c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X0),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))|c_Set_Oinsert(X2,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad|sQ0_spl)),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f6776,f10050])).
% 39.12/5.59 fof(f23556,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))|c_Set_Oinsert(X1,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f6776,f12320])).
% 39.12/5.59 fof(f23557,plain,(
% 39.12/5.59 ![X0,X1]: (hBOOL(hAPP(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy))))|c_Set_Oinsert(X1,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.59 inference(paramodulation,[status(thm)],[f6776,f10977])).
% 39.12/5.59 fof(f23569,definition,(
% 39.12/5.59 sQ280_spl <=> (c_Set_Oinsert(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.59 introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition])).
% 39.12/5.59 fof(f23570,plain,(
% 39.12/5.59 c_Set_Oinsert(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad|~sQ280_spl),
% 39.12/5.59 inference(component_clause,[status(thm)],[f23569])).
% 39.12/5.59 fof(f23572,plain,(
% 39.12/5.59 sQ73_spl|sQ280_spl),
% 39.12/5.62 inference(split_clause,[status(thm)],[f23532,f5422,f23569])).
% 39.12/5.62 fof(f23578,definition,(
% 39.12/5.62 sQ282_spl <=> (c_Set_Oinsert(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)=c_Event_Obad)),
% 39.12/5.62 introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition])).
% 39.12/5.62 fof(f23581,plain,(
% 39.12/5.62 sQ88_spl|sQ282_spl),
% 39.12/5.62 inference(split_clause,[status(thm)],[f23535,f5960,f23578])).
% 39.12/5.62 fof(f23585,plain,(
% 39.12/5.62 sQ254_spl|sQ162_spl|sQ0_spl),
% 39.12/5.62 inference(split_clause,[status(thm)],[f23539,f20618,f10225,f1338])).
% 39.12/5.62 fof(f23590,plain,(
% 39.12/5.62 sQ255_spl|sQ162_spl),
% 39.12/5.62 inference(split_clause,[status(thm)],[f23556,f20626,f10225])).
% 39.12/5.62 fof(f23591,plain,(
% 39.12/5.62 sQ256_spl|sQ162_spl),
% 39.12/5.62 inference(split_clause,[status(thm)],[f23557,f20630,f10225])).
% 39.12/5.62 fof(f23645,plain,(
% 39.12/5.62 ![X0]: (hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,X0))|~sQ280_spl)),
% 39.12/5.62 inference(paramodulation,[status(thm)],[f23570,f2664])).
% 39.12/5.62 fof(f23658,plain,(
% 39.12/5.62 $false|~sQ280_spl),
% 39.12/5.62 inference(backward_subsumption_resolution,[status(thm)],[f1277,f23645])).
% 39.12/5.62 fof(f23673,plain,(
% 39.12/5.62 ~sQ280_spl),
% 39.12/5.62 inference(contradiction_clause,[status(thm)],[f23658])).
% 39.12/5.62 fof(f23875,plain,(
% 39.12/5.62 $false|~sQ222_spl),
% 39.12/5.62 inference(forward_subsumption_resolution,[status(thm)],[f15248,f15228])).
% 39.12/5.62 fof(f23876,plain,(
% 39.12/5.62 ~sQ222_spl),
% 39.12/5.62 inference(contradiction_clause,[status(thm)],[f23875])).
% 39.12/5.62 fof(f25227,plain,(
% 39.12/5.62 ![X0]: (~hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))|hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)))),
% 39.12/5.62 inference(resolution,[status(thm)],[f19427,f2865])).
% 39.12/5.62 fof(f25266,plain,(
% 39.12/5.62 hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~sQ1_spl),
% 39.12/5.62 inference(resolution,[status(thm)],[f25227,f1354])).
% 39.12/5.62 fof(f25270,plain,(
% 39.12/5.62 sQ0_spl|~sQ1_spl),
% 39.12/5.62 inference(split_clause,[status(thm)],[f25266,f1338,f1341])).
% 39.12/5.62 fof(f25271,plain,(
% 39.12/5.62 $false),
% 39.12/5.62 inference(sat_refutation,[status(thm)],[f1344,f1345,f1578,f1582,f1591,f1595,f1722,f1726,f2160,f2167,f2174,f2185,f2189,f2207,f2214,f2237,f2242,f2246,f2339,f2425,f2428,f2431,f2591,f2675,f2922,f2934,f3245,f3249,f3253,f3258,f3262,f3264,f3600,f3646,f4035,f4046,f4063,f4074,f4490,f4494,f4511,f4515,f4712,f4722,f5441,f5445,f5450,f5454,f5460,f5464,f5544,f5931,f5971,f6097,f6107,f6145,f6312,f6581,f6584,f7312,f8108,f8128,f8133,f8135,f8137,f8155,f8160,f8162,f8164,f8174,f8192,f8404,f8409,f8427,f8432,f8451,f8454,f9163,f9172,f9683,f9799,f9860,f9875,f9882,f10228,f10232,f10236,f10237,f10238,f10239,f10241,f10242,f10245,f10246,f10283,f10475,f10477,f11094,f11446,f11793,f11804,f11808,f11815,f11822,f11826,f11830,f11834,f11838,f11842,f11846,f11850,f11854,f11916,f11980,f12029,f12099,f12204,f12598,f12615,f13087,f13550,f13568,f13877,f14119,f14177,f14184,f14645,f14705,f14863,f15028,f15086,f15092,f15110,f15112,f15250,f15323,f15564,f15583,f15769,f15771,f15970,f16203,f16561,f16563,f16920,f16923,f17155,f17174,f17203,f19060,f19988,f20615,f20621,f20622,f20623,f20625,f20629,f20633,f21040,f21042,f21046,f21644,f21664,f21749,f21838,f21840,f22025,f22045,f22422,f22425,f22596,f22929,f23015,f23017,f23197,f23572,f23581,f23585,f23590,f23591,f23673,f23876,f25270])).
% 39.12/5.62 % SZS output end CNFRefutation for theBenchmark.p
% 6.67/5.67 % Elapsed time: 5.228747 seconds
% 6.67/5.67 % CPU time: 40.836121 seconds
% 6.67/5.67 % Total memory used: 749.886 MB
% 6.67/5.67 % Net memory used: 721.516 MB
%------------------------------------------------------------------------------