%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV725-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:21:25 EDT 2022

% Result   : Unknown 110.36s 110.39s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV725-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 06:30:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 109.46/109.59  ----- Otter 3.3f, August 2004 -----
% 109.46/109.59  The process was started by sandbox2 on n023.cluster.edu,
% 109.46/109.59  Wed Jul 27 06:30:18 2022
% 109.46/109.59  The command was "./otter".  The process ID is 24667.
% 109.46/109.59  
% 109.46/109.59  set(prolog_style_variables).
% 109.46/109.59  set(auto).
% 109.46/109.59     dependent: set(auto1).
% 109.46/109.59     dependent: set(process_input).
% 109.46/109.59     dependent: clear(print_kept).
% 109.46/109.59     dependent: clear(print_new_demod).
% 109.46/109.59     dependent: clear(print_back_demod).
% 109.46/109.59     dependent: clear(print_back_sub).
% 109.46/109.59     dependent: set(control_memory).
% 109.46/109.59     dependent: assign(max_mem, 12000).
% 109.46/109.59     dependent: assign(pick_given_ratio, 4).
% 109.46/109.59     dependent: assign(stats_level, 1).
% 109.46/109.59     dependent: assign(max_seconds, 10800).
% 109.46/109.59  clear(print_given).
% 109.46/109.59  
% 109.46/109.59  list(usable).
% 109.46/109.59  0 [] A=A.
% 109.46/109.59  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 109.46/109.59  0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 109.46/109.59  0 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.59  0 [] hBOOL(c_in(c_List_Olist_ONil(T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))).
% 109.46/109.59  0 [] c_List_Oset(c_List_Olist_ONil(T_a),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] V_b=V_a| -hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 109.46/109.59  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 109.46/109.59  0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))!=hAPP(c_Public_OpublicKey(V_c),V_A_H).
% 109.46/109.59  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))|hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_OinvKey(hAPP(c_Public_OshrK,V_A))=hAPP(c_Public_OshrK,V_A).
% 109.46/109.59  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 109.46/109.59  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 109.46/109.59  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 109.46/109.59  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(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)))| -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_NS__Shared__Mirabelle_Ons__sharedp(V_evs4)).
% 109.46/109.59  0 [] c_Message_OinvKey(V_K)!=c_Message_OinvKey(V_K_H)|V_K=V_K_H.
% 109.46/109.59  0 [] c_Message_Omsg_ONumber(V_N)!=c_Message_OHPair(V_X,V_Y).
% 109.46/109.59  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONumber(V_nat).
% 109.46/109.59  0 [] -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).
% 109.46/109.59  0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_ONumber(V_nat).
% 109.46/109.59  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))| -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)).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] c_lesse_quals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 109.46/109.59  0 [] hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  0 [] hBOOL(c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONumber(V_nat).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_OinvKey(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)).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 109.46/109.59  0 [] c_lesse_quals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_ONumber(V_nat_H)|V_nat=V_nat_H.
% 109.46/109.59  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 109.46/109.59  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 109.46/109.59  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_A=V_A_H.
% 109.46/109.59  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_b=V_c.
% 109.46/109.59  0 [] c_Message_Oparts(c_Message_Osynth(V_H))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_ONonce(V_nat_H)|V_nat=V_nat_H.
% 109.46/109.59  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(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)))| -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_NS__Shared__Mirabelle_Ons__sharedp(V_evso)).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_ONumber(V_nat),T_a)=hAPP(V_f2,V_nat).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OFriend(V_nat_H).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] 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).
% 109.46/109.59  0 [] c_Message_OHPair(V_X,V_Y)!=c_Message_Omsg_OMPair(V_X_H,V_Y_H)|V_X_H=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)).
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_OHPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_Y_H=V_Y.
% 109.46/109.59  0 [] c_Message_OHPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_X_H=V_X.
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_ONonce(V_nat),T_a)=hAPP(V_f3,V_nat).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(V_Y,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_ONonce(V_nat),T_a)=hAPP(V_f3,V_nat).
% 109.46/109.59  0 [] c_Message_Omsg_ONumber(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 109.46/109.59  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(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)))| -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_NS__Shared__Mirabelle_Ons__sharedp(V_evs2)).
% 109.46/109.59  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 109.46/109.59  0 [] c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_nat=V_nat_H.
% 109.46/109.59  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_msg=V_msg_H.
% 109.46/109.59  0 [] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 109.46/109.59  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 109.46/109.59  0 [] hBOOL(c_in(V_y,c_List_Oset(V_xs,T_a),T_a))|V_y=V_x| -hBOOL(c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a)).
% 109.46/109.59  0 [] c_Message_Oanalz(V_H)!=c_Message_Oanalz(V_H_H)|c_Message_Oanalz(V_G)!=c_Message_Oanalz(V_G_H)|c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 109.46/109.59  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 109.46/109.59  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 109.46/109.59  0 [] c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)!=c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_a=V_b.
% 109.46/109.59  0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),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)).
% 109.46/109.59  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONonce(V_nat_H).
% 109.46/109.59  0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg1=V_msg1_H.
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg2=V_msg2_H.
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat))| -hBOOL(c_in(V_x,V_AA,tc_Message_Oagent)).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.59  0 [] c_Message_OHPair(V_X,V_x)=c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x).
% 109.46/109.59  0 [] c_Message_OHPair(V_X,V_Y)=c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),V_Y).
% 109.46/109.59  0 [] c_lesse_quals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OHash(V_msg).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(V_H,V_X),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,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))| -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_ONumber(V_nat),T_a)=hAPP(V_f2,V_nat).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oagent_OFriend(V_nat_H)!=c_Message_Oagent_OServer.
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 109.46/109.59  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 109.46/109.59  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 109.46/109.59  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 109.46/109.59  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 109.46/109.59  0 [] c_lesse_quals(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)).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONonce(V_nat).
% 109.46/109.59  0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 109.46/109.59  0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 109.46/109.59  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 109.46/109.59  0 [] c_Message_Oagent_Oagent__case(V_f1,V_f2,V_f3,c_Message_Oagent_OServer,T_a)=V_f1.
% 109.46/109.59  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OMPair(V_msg1,V_msg2).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_X_H=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)).
% 109.46/109.59  0 [] c_lesse_quals(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_OHPair(V_X,V_Y)!=c_Message_Omsg_OMPair(V_X_H,V_Y_H)|V_Y_H=V_Y.
% 109.46/109.59  0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Set_Oinsert(V_x,V_A,T_a).
% 109.46/109.59  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(V_G),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),c_Message_Oparts(V_H),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONumber(V_nat).
% 109.46/109.59  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] c_lesse_quals(c_Set_Oinsert(V_X,c_Message_Osynth(V_H),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(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)))| -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_NS__Shared__Mirabelle_Ons__sharedp(V_evs5)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 109.46/109.59  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_List_Oset(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 109.46/109.59  0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 109.46/109.59  0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 109.46/109.59  0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONumber(V_nat_H).
% 109.46/109.59  0 [] 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).
% 109.46/109.59  0 [] -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.
% 109.46/109.59  0 [] -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.
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 109.46/109.59  0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))).
% 109.46/109.59  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(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)))),V_evs1,tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1)).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -c_lesse_quals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_lesse_quals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] hAPP(c_Public_OpublicKey(V_b),V_C)!=hAPP(c_Public_OshrK,V_A).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OAgent(V_agent).
% 109.46/109.59  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 109.46/109.59  0 [] hBOOL(c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)))|hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(V_A,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a)).
% 109.46/109.59  0 [] c_lesse_quals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 109.46/109.59  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 109.46/109.59  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(V_A,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] hBOOL(c_in(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))| -hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_Omsg_ONonce(V_N)!=c_Message_OHPair(V_X,V_Y).
% 109.46/109.59  0 [] -class_Orderings_Otop(T_b)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x)=c_Orderings_Otop__class_Otop(T_b).
% 109.46/109.59  0 [] -hBOOL(hAPP(V_P,c_Message_Oagent_Oagent__case(V_f1,V_f2,V_f3,c_Message_Oagent_OServer,t_a)))|hBOOL(hAPP(V_P,V_f1)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.59  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 109.46/109.59  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 109.46/109.59  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 109.46/109.59  0 [] 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))).
% 109.46/109.59  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_OHash(V_msg),T_a)=hAPP(hAPP(V_f5,V_msg),c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_msg,T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_OHash(V_Z)!=c_Message_OHPair(V_X,V_Y).
% 109.46/109.59  0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 109.46/109.59  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 109.46/109.59  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 109.46/109.59  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_a=V_c.
% 109.46/109.59  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_a=V_c.
% 109.46/109.59  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_b=V_d.
% 109.46/109.59  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_b=V_d.
% 109.46/109.59  0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_OMPair(V_msg1,V_msg2),T_a)=hAPP(hAPP(hAPP(hAPP(V_f6,V_msg1),V_msg2),c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_msg1,T_a)),c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_msg2,T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Event_Oused(V_evs),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)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)).
% 109.46/109.59  0 [] c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OHash(V_msg).
% 109.46/109.59  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OHash(V_msg_H)|V_msg=V_msg_H.
% 109.46/109.59  0 [] c_lesse_quals(c_List_Oset(V_xs,T_a),c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -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).
% 109.46/109.59  0 [] -class_Lattices_Olattice(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).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Set_Oinsert(V_a,V_A,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 109.46/109.59  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_OCrypt(V_nat,V_msg),T_a)=hAPP(hAPP(V_f7,V_nat),V_msg).
% 109.46/109.59  0 [] c_Event_Oevent_OGets(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 109.46/109.59  0 [] c_Message_Osynth(c_Message_Osynth(V_H))=c_Message_Osynth(V_H).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x)=c_Message_OHPair(V_X,V_x).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Message_Osynth(V_H))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] 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))).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)).
% 109.46/109.59  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_Y_H=V_Y.
% 109.46/109.59  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OHash(V_msg_H).
% 109.46/109.59  0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 109.46/109.59  0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] c_Message_Oagent_Oagent__case(V_f1,V_f2,V_f3,c_Message_Oagent_OFriend(V_nat),T_a)=hAPP(V_f2,V_nat).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a)=c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a).
% 109.46/109.59  0 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(V_H))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_lesse_quals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A_H,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] hAPP(c_Public_OshrK,V_x)!=hAPP(c_Public_OshrK,V_y)|V_x=V_y.
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 109.46/109.59  0 [] -hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.59  0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Oagent_OFriend(V_nat)!=c_Message_Oagent_OFriend(V_nat_H)|V_nat=V_nat_H.
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_OMPair(V_msg1,V_msg2),T_a)=hAPP(hAPP(V_f6,V_msg1),V_msg2).
% 109.46/109.59  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 109.46/109.59  0 [] hBOOL(c_in(c_List_Olist_OCons(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)))),V_evs1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))| -hBOOL(c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  0 [] 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))).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  0 [] 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))).
% 109.46/109.59  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 109.46/109.59  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 109.46/109.59  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 109.46/109.59  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 109.46/109.59  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 109.46/109.59  0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 109.46/109.59  0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 109.46/109.59  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 109.46/109.59  0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)).
% 109.46/109.59  0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,V_H,tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,V_H,tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 109.46/109.59  0 [] c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_OCrypt(V_nat,V_msg),T_a)=hAPP(hAPP(hAPP(V_f7,V_nat),V_msg),c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_msg,T_a)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)=c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a).
% 109.46/109.59  0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,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)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] -hBOOL(hAPP(V_P,c_Message_Oagent_Oagent__case(V_f1,V_f2,V_f3,c_Message_Oagent_OFriend(V_nat),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f2,V_nat))).
% 109.46/109.59  0 [] -hBOOL(hAPP(V_P,c_Message_Oagent_Oagent__case(V_f1,V_f2,V_f3,c_Message_Oagent_OFriend(V_xa),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))).
% 109.46/109.59  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_ONonce(V_nat_H).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_OAgent(V_agent),T_a)=hAPP(V_f1,V_agent).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))=c_Message_Oanalz(V_G)| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 109.46/109.59  0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_OAgent(V_agent),T_a)=hAPP(V_f1,V_agent).
% 109.46/109.59  0 [] c_Message_Oagent_Oagent__rec(V_f1,V_f2,V_f3,c_Message_Oagent_OFriend(V_nat),T_a)=hAPP(V_f2,V_nat).
% 109.46/109.59  0 [] c_Message_OinvKey(c_Message_OinvKey(V_K))=V_K.
% 109.46/109.59  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)|V_msg=V_msg_H.
% 109.46/109.59  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)|V_agent2=V_agent2_H.
% 109.46/109.59  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)|V_agent1=V_agent1_H.
% 109.46/109.59  0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Public_OpublicKey(V_b),V_C).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OGets(V_agent,V_msg).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| -c_lesse_quals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_lesse_quals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,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_NS__Shared__Mirabelle_Ons__sharedp(V_evsf)).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,c_Message_Omsg_OHash(V_msg),T_a)=hAPP(V_f5,V_msg).
% 109.46/109.59  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_List_Oset(c_List_Olist_ONil(T_a),T_a).
% 109.46/109.59  0 [] c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(V_A).
% 109.46/109.59  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 109.46/109.59  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 109.46/109.59  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 109.46/109.59  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 109.46/109.59  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 109.46/109.59  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 109.46/109.59  0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 109.46/109.59  0 [] c_List_Olist_OCons(V_a,V_list,T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a)|V_a=V_a_H.
% 109.46/109.59  0 [] c_List_Olist_OCons(V_a,V_list,T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a)|V_list=V_list_H.
% 109.46/109.59  0 [] c_Set_Oimage(V_f,V_A,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_lesse_quals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] hAPP(c_Public_OshrK,V_A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] 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))).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))|hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,V_G,tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)|V_A=c_Message_Oagent_OSpy.
% 109.46/109.59  0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Message_Oanalz(V_H))=c_Message_Oanalz(V_H).
% 109.46/109.59  0 [] c_Message_Oagent_Oagent__rec(V_f1,V_f2,V_f3,c_Message_Oagent_OServer,T_a)=V_f1.
% 109.46/109.59  0 [] c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Omsg_OAgent(V_A)!=c_Message_OHPair(V_X,V_Y).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 109.46/109.59  0 [] c_Message_Omsg_OCrypt(V_K,V_X_H)!=c_Message_OHPair(V_X,V_Y).
% 109.46/109.59  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))=c_Event_Oused(V_evs).
% 109.46/109.59  0 [] c_lesse_quals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_List_Oset(V_xs,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_xs=c_List_Olist_ONil(T_a).
% 109.46/109.59  0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C))!=hAPP(c_Public_OshrK,V_A).
% 109.46/109.59  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 109.46/109.59  0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 109.46/109.59  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_lesse_quals(c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.59  0 [] hBOOL(c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OAgent(V_agent_H)|V_agent=V_agent_H.
% 109.46/109.59  0 [] hAPP(c_Public_OpublicKey(V_c),V_A_H)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)).
% 109.46/109.59  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_x,c_List_Oset(V_xs,T_a),T_a))| -hBOOL(c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))).
% 109.46/109.59  0 [] hBOOL(c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)))| -hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(V_A,V_xs,T_a),V_A,T_a)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_K,V_nE,tc_nat))| -hBOOL(c_in(V_K,V_nE,tc_nat)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_K,V_nE,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_K,V_nE,tc_nat))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_K,V_nE,tc_nat)).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,hAPP(c_Message_Omsg_OKey,V_nat),T_a)=hAPP(V_f4,V_nat).
% 109.46/109.59  0 [] c_Message_Omsg_ONumber(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 109.46/109.59  0 [] c_Message_Omsg_OAgent(V_agent)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 109.46/109.59  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONonce(V_nat).
% 109.46/109.59  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONumber(V_nat).
% 109.46/109.59  0 [] c_Message_Omsg_OHash(V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 109.46/109.59  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 109.46/109.59  0 [] c_Message_Omsg_ONonce(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 109.46/109.59  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 109.46/109.59  0 [] c_Message_Omsg_Omsg__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,hAPP(c_Message_Omsg_OKey,V_nat),T_a)=hAPP(V_f4,V_nat).
% 109.46/109.59  0 [] hAPP(c_Message_Omsg_OKey,V_K)!=c_Message_OHPair(V_X,V_Y).
% 109.46/109.59  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 109.46/109.59  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 109.46/109.59  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 109.46/109.59  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg))|hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  0 [] -hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|V_A=c_Message_Oagent_OSpy.
% 109.46/109.59  0 [] -hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)).
% 109.46/109.59  0 [] -hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(V_evs)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oagent_Oagent__case(V_f1,V_f2,V_f3,c_Message_Oagent_OSpy,T_a)=V_f3.
% 109.46/109.59  0 [] c_Message_Oagent_OFriend(V_nat)!=c_Message_Oagent_OSpy.
% 109.46/109.59  0 [] c_Message_Oagent_Oagent__rec(V_f1,V_f2,V_f3,c_Message_Oagent_OSpy,T_a)=V_f3.
% 109.46/109.59  0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OSpy.
% 109.46/109.59  0 [] -hBOOL(hAPP(V_P,c_Message_Oagent_Oagent__case(V_f1,V_f2,V_f3,c_Message_Oagent_OSpy,t_a)))|hBOOL(hAPP(V_P,V_f3)).
% 109.46/109.59  0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OFriend(V_nat).
% 109.46/109.59  0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 109.46/109.59  0 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,V_evs).
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(V_C)))=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)).
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Set_Oimage(c_Message_Omsg_OKey,V_E,tc_nat,tc_Message_Omsg))=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)).
% 109.46/109.59  0 [] -hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat)).
% 109.46/109.59  0 [] c_NS__Shared__Mirabelle_Ons__sharedp(v_x)=c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  0 [] 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)).
% 109.46/109.59  0 [] 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))).
% 109.46/109.59  0 [] -hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)|hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)).
% 109.46/109.59  0 [] 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))| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.59  0 [] 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))| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_Osko__Message__Xparts__singleton__1__1(V_H,V_X),V_H,tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oparts(V_H)| -hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -c_lesse_quals(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)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 109.46/109.59  0 [] -hBOOL(c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 109.46/109.59  0 [] -hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg).
% 109.46/109.59  0 [] c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat)).
% 109.46/109.59  0 [] c_Message_OinvKey(V_K)=V_K| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)).
% 109.46/109.59  0 [] hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)).
% 109.46/109.59  0 [] hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)).
% 109.46/109.59  0 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat)).
% 109.46/109.59  0 [] hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.59  0 [] 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))).
% 109.46/109.59  0 [] 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))).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg))| -hBOOL(c_in(V_x,V_A,tc_nat)).
% 109.46/109.59  0 [] hBOOL(c_in(V_x,V_A,tc_nat))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_lesse_quals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  0 [] hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,V_H,tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)).
% 109.46/109.59  0 [] c_Message_Oparts(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 109.46/109.59  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)).
% 109.46/109.59  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H)|V_nat=V_nat_H.
% 109.46/109.59  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 109.46/109.59  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 109.46/109.59  0 [] -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs),tc_Message_Omsg)).
% 109.46/109.59  0 [] hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)).
% 109.46/109.59  0 [] hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.59  0 [] hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat)).
% 109.46/109.59  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 109.46/109.59  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 109.46/109.59  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 109.46/109.59  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 109.46/109.59  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 109.46/109.59  0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 109.46/109.59  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 109.46/109.59  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 109.46/109.59  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 109.46/109.59  0 [] class_Orderings_Opreorder(tc_nat).
% 109.46/109.59  0 [] class_Orderings_Olinorder(tc_nat).
% 109.46/109.59  0 [] class_Lattices_Olattice(tc_nat).
% 109.46/109.59  0 [] class_Orderings_Oorder(tc_nat).
% 109.46/109.59  0 [] class_Orderings_Obot(tc_nat).
% 109.46/109.59  0 [] class_HOL_Oord(tc_nat).
% 109.46/109.59  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 109.46/109.59  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 109.46/109.59  0 [] class_Orderings_Opreorder(tc_bool).
% 109.46/109.59  0 [] class_Lattices_Olattice(tc_bool).
% 109.46/109.59  0 [] class_Orderings_Oorder(tc_bool).
% 109.46/109.59  0 [] class_Orderings_Otop(tc_bool).
% 109.46/109.59  0 [] class_Orderings_Obot(tc_bool).
% 109.46/109.59  0 [] class_HOL_Oord(tc_bool).
% 109.46/109.59  0 [] c_fe_qual(V_x,V_x,T_a).
% 109.46/109.59  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 109.46/109.59  end_of_list.
% 109.46/109.59  
% 109.46/109.59  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 109.46/109.59  
% 109.46/109.59  This ia a non-Horn set with equality.  The strategy will be
% 109.46/109.59  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 109.46/109.59  deletion, with positive clauses in sos and nonpositive
% 109.46/109.59  clauses in usable.
% 109.46/109.59  
% 109.46/109.59     dependent: set(knuth_bendix).
% 109.46/109.59     dependent: set(anl_eq).
% 109.46/109.59     dependent: set(para_from).
% 109.46/109.59     dependent: set(para_into).
% 109.46/109.59     dependent: clear(para_from_right).
% 109.46/109.59     dependent: clear(para_into_right).
% 109.46/109.59     dependent: set(para_from_vars).
% 109.46/109.59     dependent: set(eq_units_both_ways).
% 109.46/109.59     dependent: set(dynamic_demod_all).
% 109.46/109.59     dependent: set(dynamic_demod).
% 109.46/109.59     dependent: set(order_eq).
% 109.46/109.59     dependent: set(back_demod).
% 109.46/109.59     dependent: set(lrpo).
% 109.46/109.59     dependent: set(hyper_res).
% 109.46/109.59     dependent: set(unit_deletion).
% 109.46/109.59     dependent: set(factor).
% 109.46/109.59  
% 109.46/109.59  ------------> process usable:
% 109.46/109.59  ** KEPT (pick-wt=8): 1 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 109.46/109.59  ** KEPT (pick-wt=19): 2 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.59  ** KEPT (pick-wt=6): 3 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 109.46/109.59  ** KEPT (pick-wt=7): 4 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 109.46/109.59  ** KEPT (pick-wt=19): 5 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 109.46/109.59  ** KEPT (pick-wt=12): 6 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.59  ** KEPT (pick-wt=14): 7 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 109.46/109.59  ** KEPT (pick-wt=6): 8 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.59  ** KEPT (pick-wt=10): 9 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 109.46/109.59  ** KEPT (pick-wt=8): 10 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 109.46/109.59  ** KEPT (pick-wt=32): 11 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)).
% 109.46/109.59  ** KEPT (pick-wt=22): 12 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 109.46/109.59  ** KEPT (pick-wt=32): 13 [] hBOOL(c_in(c_Message_OHPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 109.46/109.59  ** KEPT (pick-wt=15): 14 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)).
% 109.46/109.59  ** KEPT (pick-wt=15): 15 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)).
% 109.46/109.59  ** KEPT (pick-wt=25): 16 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 109.46/109.59  ** KEPT (pick-wt=6): 17 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.59  ** KEPT (pick-wt=6): 18 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.59  ** KEPT (pick-wt=46): 19 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),E,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(E)).
% 109.46/109.59  ** KEPT (pick-wt=8): 20 [] c_Message_OinvKey(A)!=c_Message_OinvKey(B)|A=B.
% 109.46/109.59  ** KEPT (pick-wt=6): 21 [] c_Message_Omsg_ONumber(A)!=c_Message_OHPair(B,C).
% 109.46/109.59  ** KEPT (pick-wt=6): 22 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONumber(C).
% 109.46/109.59  ** KEPT (pick-wt=11): 23 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 109.46/109.59  ** KEPT (pick-wt=5): 24 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONumber(B).
% 109.46/109.59  ** KEPT (pick-wt=8): 25 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 109.46/109.59  ** KEPT (pick-wt=16): 26 [] A=B| -hBOOL(c_in(hAPP(c_Public_OpublicKey(A),C),c_Set_Oimage(c_Public_OpublicKey(B),D,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.59  ** KEPT (pick-wt=18): 27 [] hBOOL(c_in(A,B,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Public_OpublicKey(C),A),c_Set_Oimage(c_Public_OpublicKey(D),B,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.59  ** KEPT (pick-wt=18): 28 [] hBOOL(c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OpublicKey(A),C,tc_Message_Oagent,tc_nat),tc_nat))| -hBOOL(c_in(B,C,tc_Message_Oagent)).
% 109.46/109.59  ** KEPT (pick-wt=16): 29 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oimage(B,C,D,A)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 109.46/109.59  ** KEPT (pick-wt=21): 30 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg)).
% 109.46/109.59  ** KEPT (pick-wt=16): 31 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  ** KEPT (pick-wt=28): 32 [] hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,C,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(A,F))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.59  ** KEPT (pick-wt=5): 33 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONumber(B).
% 109.46/109.59  ** KEPT (pick-wt=14): 34 [] c_lesse_quals(c_Message_Osynth(A),c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  ** KEPT (pick-wt=21): 35 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg)).
% 109.46/109.59  ** KEPT (pick-wt=14): 36 [] -hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OpublicKey(C),D,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.59  ** KEPT (pick-wt=23): 37 [] hBOOL(c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 109.46/109.59  ** KEPT (pick-wt=7): 38 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 109.46/109.59  ** KEPT (pick-wt=8): 39 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_ONumber(B)|A=B.
% 109.46/109.59  ** KEPT (pick-wt=10): 40 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Otop__class_Otop(A).
% 109.46/109.59  ** KEPT (pick-wt=10): 41 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(A),B,A)=c_Orderings_Otop__class_Otop(A).
% 109.46/109.59  ** KEPT (pick-wt=6): 42 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.59  ** KEPT (pick-wt=9): 43 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 109.46/109.59  ** KEPT (pick-wt=47): 44 [] hBOOL(c_in(A,c_Event_OinitState(B),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OSays(B,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(B,A,C),A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent))|B=c_Message_Oagent_OSpy| -hBOOL(c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)).
% 109.46/109.59  ** KEPT (pick-wt=12): 45 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|B=D.
% 109.46/109.59  ** KEPT (pick-wt=12): 46 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|A=C.
% 109.46/109.59  ** KEPT (pick-wt=8): 47 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONonce(B)|A=B.
% 109.46/109.59  ** KEPT (pick-wt=56): 48 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),hAPP(c_Message_Omsg_OKey,C)))),D,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(D)).
% 109.46/109.59  ** KEPT (pick-wt=20): 49 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg)| -hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)).
% 109.46/109.59  ** KEPT (pick-wt=4): 51 [copy,50,flip.1] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OServer.
% 109.46/109.59  ** KEPT (pick-wt=13): 52 [] c_Message_OHPair(A,B)!=c_Message_Omsg_OMPair(C,D)|C=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)).
% 109.46/109.59  ** KEPT (pick-wt=10): 53 [] c_Message_OHPair(A,B)!=c_Message_OHPair(C,D)|B=D.
% 109.46/109.59  ** KEPT (pick-wt=10): 54 [] c_Message_OHPair(A,B)!=c_Message_OHPair(C,D)|A=C.
% 109.46/109.59  ** KEPT (pick-wt=15): 55 [] c_lesse_quals(c_Message_Osynth(A),c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  ** KEPT (pick-wt=15): 56 [] c_lesse_quals(A,c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Osynth(A),c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.59  ** KEPT (pick-wt=6): 57 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.59  ** KEPT (pick-wt=5): 58 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OAgent(B).
% 109.46/109.59  ** KEPT (pick-wt=65): 59 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(A)))))))),E,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_ONonce(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(D,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(E)).
% 109.46/109.60  ** KEPT (pick-wt=5): 60 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OHash(B).
% 109.46/109.60  ** KEPT (pick-wt=30): 61 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=10): 62 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|A=C.
% 109.46/109.60  ** KEPT (pick-wt=10): 63 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|B=D.
% 109.46/109.60  ** KEPT (pick-wt=17): 64 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 109.46/109.60  ** KEPT (pick-wt=17): 65 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 109.46/109.60  ** KEPT (pick-wt=17): 66 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 109.46/109.60  ** KEPT (pick-wt=17): 67 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 109.46/109.60  ** KEPT (pick-wt=20): 68 [] hBOOL(c_in(A,c_List_Oset(B,C),C))|A=D| -hBOOL(c_in(A,c_List_Oset(c_List_Olist_OCons(D,B,C),C),C)).
% 109.46/109.60  ** KEPT (pick-wt=25): 69 [] c_Message_Oanalz(A)!=c_Message_Oanalz(B)|c_Message_Oanalz(C)!=c_Message_Oanalz(D)|c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(tc_Message_Omsg,tc_bool))).
% 109.46/109.60  ** KEPT (pick-wt=23): 70 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 109.46/109.60    Following clause subsumed by 70 during input processing: 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=17): 71 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 109.46/109.60  ** KEPT (pick-wt=9): 72 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 109.46/109.60  ** KEPT (pick-wt=9): 73 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 109.46/109.60    Following clause subsumed by 71 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 109.46/109.60    Following clause subsumed by 71 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 109.46/109.60  ** KEPT (pick-wt=9): 74 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 109.46/109.60  ** KEPT (pick-wt=9): 75 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 109.46/109.60  ** KEPT (pick-wt=18): 76 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C.
% 109.46/109.60  ** KEPT (pick-wt=16): 77 [] hBOOL(c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_ONotes(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.60  ** KEPT (pick-wt=5): 78 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 109.46/109.60  ** KEPT (pick-wt=10): 79 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|A=C.
% 109.46/109.60  ** KEPT (pick-wt=10): 80 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|B=D.
% 109.46/109.60  ** KEPT (pick-wt=16): 81 [] hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat),tc_nat))| -hBOOL(c_in(A,B,tc_Message_Oagent)).
% 109.46/109.60  ** KEPT (pick-wt=16): 82 [] hBOOL(c_in(A,B,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=6): 83 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 109.46/109.60  ** KEPT (pick-wt=20): 84 [] hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(B,A),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 43 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 109.46/109.60  ** KEPT (pick-wt=25): 85 [] hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(C,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 51 during input processing: 0 [] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OServer.
% 109.46/109.60  ** KEPT (pick-wt=14): 86 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=5): 87 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 109.46/109.60  ** KEPT (pick-wt=11): 88 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 109.46/109.60  ** KEPT (pick-wt=14): 89 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=21): 90 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(c_in(B,C,D)).
% 109.46/109.60    Following clause subsumed by 15 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 109.46/109.60  ** KEPT (pick-wt=20): 91 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 109.46/109.60    Following clause subsumed by 15 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 109.46/109.60    Following clause subsumed by 91 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 109.46/109.60  ** KEPT (pick-wt=17): 92 [] hBOOL(c_in(A,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=6): 93 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 109.46/109.60  ** KEPT (pick-wt=7): 94 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 109.46/109.60    Following clause subsumed by 94 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 109.46/109.60  ** KEPT (pick-wt=17): 95 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=17): 96 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=13): 97 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 109.46/109.60  ** KEPT (pick-wt=13): 98 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 109.46/109.60  ** KEPT (pick-wt=7): 99 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 109.46/109.60  ** KEPT (pick-wt=13): 100 [] c_Message_Omsg_OMPair(A,B)!=c_Message_OHPair(C,D)|A=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(C,D)).
% 109.46/109.60  ** KEPT (pick-wt=30): 101 [] c_lesse_quals(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=10): 102 [] c_Message_OHPair(A,B)!=c_Message_Omsg_OMPair(C,D)|D=B.
% 109.46/109.60  ** KEPT (pick-wt=14): 103 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 109.46/109.60  ** KEPT (pick-wt=6): 104 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.60  ** KEPT (pick-wt=30): 105 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=6): 106 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONumber(C).
% 109.46/109.60  ** KEPT (pick-wt=28): 107 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=21): 108 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OMPair(A,C),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=21): 109 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OMPair(C,A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=27): 110 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=23): 111 [] hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_OHPair(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))|hBOOL(c_in(C,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=60): 112 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(D),c_Message_Omsg_ONonce(D)))),E,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),H))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(E)).
% 109.46/109.60  ** KEPT (pick-wt=26): 113 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,C)),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A),c_Message_Oanalz(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=12): 114 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_List_Oset(B,A)|B=c_List_Olist_ONil(A).
% 109.46/109.60  ** KEPT (pick-wt=5): 115 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 109.46/109.60  ** KEPT (pick-wt=17): 116 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 109.46/109.60  ** KEPT (pick-wt=13): 117 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 109.46/109.60  ** KEPT (pick-wt=13): 118 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 109.46/109.60  ** KEPT (pick-wt=5): 119 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONumber(B).
% 109.46/109.60  ** KEPT (pick-wt=9): 120 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 109.46/109.60  ** KEPT (pick-wt=9): 121 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 109.46/109.60  ** KEPT (pick-wt=26): 122 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(C)))),D,tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(D)).
% 109.46/109.60  ** KEPT (pick-wt=19): 123 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -c_lesse_quals(C,c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=8): 124 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 109.46/109.60  ** KEPT (pick-wt=6): 125 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 109.46/109.60  ** KEPT (pick-wt=7): 126 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 109.46/109.60  ** KEPT (pick-wt=15): 127 [] c_lesse_quals(A,c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=15): 128 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=9): 129 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=10): 130 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|B=D.
% 109.46/109.60  ** KEPT (pick-wt=10): 131 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|A=C.
% 109.46/109.60  ** KEPT (pick-wt=5): 132 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 109.46/109.60  ** KEPT (pick-wt=21): 133 [] hBOOL(c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))| -hBOOL(c_in(C,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(c_Event_Oevent_ONotes(C,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.60  ** KEPT (pick-wt=6): 134 [] c_Message_Omsg_ONonce(A)!=c_Message_OHPair(B,C).
% 109.46/109.60  ** KEPT (pick-wt=11): 135 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 109.46/109.60  ** KEPT (pick-wt=13): 136 [] -hBOOL(hAPP(A,c_Message_Oagent_Oagent__case(B,C,D,c_Message_Oagent_OServer,t_a)))|hBOOL(hAPP(A,B)).
% 109.46/109.60  ** KEPT (pick-wt=13): 137 [] -hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=15): 138 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 109.46/109.60    Following clause subsumed by 138 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=13): 139 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 109.46/109.60    Following clause subsumed by 139 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 109.46/109.60    Following clause subsumed by 139 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 109.46/109.60  ** KEPT (pick-wt=66): 140 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(D),c_Message_Omsg_ONonce(D)))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),H))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=7): 141 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 109.46/109.60    Following clause subsumed by 92 during input processing: 0 [factor_simp] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=12): 142 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 109.46/109.60  ** KEPT (pick-wt=12): 143 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 109.46/109.60  ** KEPT (pick-wt=12): 144 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 109.46/109.60  ** KEPT (pick-wt=14): 145 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=14): 146 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=14): 147 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=6): 148 [] c_Message_Omsg_OHash(A)!=c_Message_OHPair(B,C).
% 109.46/109.60  ** KEPT (pick-wt=7): 149 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 109.46/109.60  ** KEPT (pick-wt=10): 150 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|B=D.
% 109.46/109.60  ** KEPT (pick-wt=10): 151 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|A=C.
% 109.46/109.60  ** KEPT (pick-wt=27): 152 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D.
% 109.46/109.60  ** KEPT (pick-wt=27): 153 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D.
% 109.46/109.60  ** KEPT (pick-wt=27): 154 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E.
% 109.46/109.60  ** KEPT (pick-wt=27): 155 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E.
% 109.46/109.60  ** KEPT (pick-wt=15): 156 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_ONotes(C,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.60  ** KEPT (pick-wt=15): 157 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=6): 158 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 109.46/109.60  ** KEPT (pick-wt=9): 159 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 109.46/109.60  ** KEPT (pick-wt=23): 160 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(C)),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=8): 161 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OHash(B)|A=B.
% 109.46/109.60  ** KEPT (pick-wt=56): 162 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(E)))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),C))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))|A=c_Message_Oagent_OServer| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(D)).
% 109.46/109.60  ** KEPT (pick-wt=11): 163 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 109.46/109.60  ** KEPT (pick-wt=11): 164 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 109.46/109.60  ** KEPT (pick-wt=32): 165 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg))| -c_lesse_quals(D,C,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=32): 166 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg))| -c_lesse_quals(D,B,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(C,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=33): 167 [] hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=33): 168 [] hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(C)),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 169 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 109.46/109.60  ** KEPT (pick-wt=14): 170 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 109.46/109.60  ** KEPT (pick-wt=8): 171 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 109.46/109.60  ** KEPT (pick-wt=21): 172 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=62): 173 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(E)))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),C))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))|A=c_Message_Oagent_OServer| -hBOOL(c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=5): 174 [] -hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)).
% 109.46/109.60  ** KEPT (pick-wt=6): 175 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.60  ** KEPT (pick-wt=10): 176 [] c_Message_Omsg_OMPair(A,B)!=c_Message_OHPair(C,D)|B=D.
% 109.46/109.60  ** KEPT (pick-wt=5): 177 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 178 [] c_List_Olist_OCons(A,B,C)!=B.
% 109.46/109.60    Following clause subsumed by 178 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 109.46/109.60  ** KEPT (pick-wt=15): 179 [] hBOOL(c_in(A,c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=13): 180 [] hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=13): 181 [] hBOOL(c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 181 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=16): 182 [] c_lesse_quals(c_Message_Osynth(c_Message_Oanalz(A)),c_Message_Osynth(c_Message_Oanalz(B)),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=8): 183 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 109.46/109.60  ** KEPT (pick-wt=17): 184 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(B))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=10): 185 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OshrK,B)|A=B.
% 109.46/109.60  ** KEPT (pick-wt=12): 186 [] -hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat),tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=8): 187 [] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OFriend(B)|A=B.
% 109.46/109.60  ** KEPT (pick-wt=16): 188 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 109.46/109.60  ** KEPT (pick-wt=32): 189 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(C)))),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg))| -hBOOL(c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=18): 190 [] hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.60  ** KEPT (pick-wt=71): 191 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(A)))))))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_ONonce(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(D,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg))| -hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=26): 192 [] hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,c_Message_Omsg_OCrypt(E,c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(G,c_Message_Omsg_OMPair(H,A))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.60  ** KEPT (pick-wt=52): 193 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg))| -hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=13): 194 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 109.46/109.60    Following clause subsumed by 194 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 109.46/109.60  ** KEPT (pick-wt=16): 195 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 109.46/109.60    Following clause subsumed by 195 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 109.46/109.60    Following clause subsumed by 195 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 109.46/109.60    Following clause subsumed by 195 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=15): 196 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 109.46/109.60  ** KEPT (pick-wt=15): 197 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 109.46/109.60  ** KEPT (pick-wt=8): 198 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 109.46/109.60    Following clause subsumed by 198 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 109.46/109.60    Following clause subsumed by 198 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 109.46/109.60    Following clause subsumed by 198 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 109.46/109.60  ** KEPT (pick-wt=16): 199 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 109.46/109.60  ** KEPT (pick-wt=20): 200 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C)).
% 109.46/109.60    Following clause subsumed by 198 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 109.46/109.60  ** KEPT (pick-wt=22): 201 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(c_in(A,D,C))|hBOOL(c_in(A,B,C))|B=D.
% 109.46/109.60  ** KEPT (pick-wt=11): 202 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 109.46/109.60  ** KEPT (pick-wt=16): 203 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 109.46/109.60    Following clause subsumed by 203 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 109.46/109.60    Following clause subsumed by 203 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 109.46/109.60    Following clause subsumed by 203 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 109.46/109.60  ** KEPT (pick-wt=11): 204 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=13): 205 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=11): 206 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=13): 207 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Osynth(B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=8): 208 [] -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Message_Oparts(c_Event_OinitState(B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=9): 209 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=26): 210 [] hBOOL(c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(D,c_Message_Oparts(C),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(D,B,tc_Message_Omsg)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 211 [] c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=15): 212 [] c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=15): 213 [] c_lesse_quals(A,c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=11): 214 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Set_Oimage(c_Message_Omsg_OKey,C,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=10): 215 [] -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 206 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=22): 216 [] hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 216 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=21): 217 [] hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Osynth(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=10): 218 [] -hBOOL(c_in(c_Message_Omsg_OHash(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=20): 219 [] hBOOL(c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Osynth(C),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=28): 220 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=7): 221 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 109.46/109.60  ** KEPT (pick-wt=16): 222 [] -hBOOL(hAPP(A,c_Message_Oagent_Oagent__case(B,C,D,c_Message_Oagent_OFriend(E),t_a)))|hBOOL(hAPP(A,hAPP(C,E))).
% 109.46/109.60    Following clause subsumed by 222 during input processing: 0 [] -hBOOL(hAPP(A,c_Message_Oagent_Oagent__case(B,C,D,c_Message_Oagent_OFriend(E),t_a)))|hBOOL(hAPP(A,hAPP(C,E))).
% 109.46/109.60  ** KEPT (pick-wt=5): 223 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_ONonce(B).
% 109.46/109.60  ** KEPT (pick-wt=20): 224 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -c_lesse_quals(C,B,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=20): 225 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 109.46/109.60  ** KEPT (pick-wt=12): 226 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|C=F.
% 109.46/109.60  ** KEPT (pick-wt=12): 227 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|B=E.
% 109.46/109.60  ** KEPT (pick-wt=12): 228 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|A=D.
% 109.46/109.60  ** KEPT (pick-wt=8): 229 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 109.46/109.60  ** KEPT (pick-wt=7): 230 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 109.46/109.60  ** KEPT (pick-wt=19): 231 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))| -c_lesse_quals(C,c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Osynth(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=21): 232 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent)))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(C)).
% 109.46/109.60  ** KEPT (pick-wt=6): 233 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 109.46/109.60  ** KEPT (pick-wt=13): 234 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 109.46/109.60  ** KEPT (pick-wt=13): 235 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 109.46/109.60  ** KEPT (pick-wt=13): 236 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 109.46/109.60  ** KEPT (pick-wt=13): 237 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 109.46/109.60    Following clause subsumed by 234 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 109.46/109.60    Following clause subsumed by 235 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 109.46/109.60  ** KEPT (pick-wt=17): 238 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=17): 239 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=14): 240 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 109.46/109.60  ** KEPT (pick-wt=14): 241 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 109.46/109.60  ** KEPT (pick-wt=18): 242 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=14): 243 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=6): 244 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 109.46/109.60  ** KEPT (pick-wt=6): 245 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 109.46/109.60    Following clause subsumed by 243 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 109.46/109.60  ** KEPT (pick-wt=12): 246 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 109.46/109.60  ** KEPT (pick-wt=12): 247 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 109.46/109.60  ** KEPT (pick-wt=16): 248 [] c_Set_Oimage(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=14): 249 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=9): 250 [] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 109.46/109.60  ** KEPT (pick-wt=25): 251 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg))| -hBOOL(c_in(c_Message_OHPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=62): 252 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),hAPP(c_Message_Omsg_OKey,C)))),D,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,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=16): 253 [] c_Message_Oanalz(A)!=c_Message_Oanalz(B)|c_Message_Oanalz(c_Set_Oinsert(C,A,tc_Message_Omsg))=c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=26): 254 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 206 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=22): 255 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(C),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,C,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=27): 256 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=14): 257 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oanalz(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 258 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oanalz(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=16): 259 [] hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=16): 260 [] hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=6): 261 [] c_Message_Omsg_OAgent(A)!=c_Message_OHPair(B,C).
% 109.46/109.60  ** KEPT (pick-wt=17): 262 [] hBOOL(c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(B,D,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.60  ** KEPT (pick-wt=7): 263 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_OHPair(C,D).
% 109.46/109.60  ** KEPT (pick-wt=20): 264 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 109.46/109.60    Following clause subsumed by 264 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=18): 265 [] c_lesse_quals(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=12): 266 [] c_List_Oset(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_List_Olist_ONil(B).
% 109.46/109.60  ** KEPT (pick-wt=9): 267 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 109.46/109.60  ** KEPT (pick-wt=6): 268 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.60  ** KEPT (pick-wt=5): 269 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 109.46/109.60    Following clause subsumed by 92 during input processing: 0 [factor_simp] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=13): 270 [] hBOOL(c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=34): 271 [] c_lesse_quals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(B),c_Message_Oanalz(D),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=29): 272 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=8): 273 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OAgent(B)|A=B.
% 109.46/109.60  ** KEPT (pick-wt=10): 274 [] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 109.46/109.60  ** KEPT (pick-wt=10): 275 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 109.46/109.60  ** KEPT (pick-wt=20): 276 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_List_Oset(D,C),C))| -hBOOL(c_in(D,c_List_Olists(B,C),tc_List_Olist(C))).
% 109.46/109.60  ** KEPT (pick-wt=16): 277 [] hBOOL(c_in(A,c_List_Olists(B,C),tc_List_Olist(C)))| -hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(B,A,C),B,C)).
% 109.46/109.60  ** KEPT (pick-wt=22): 279 [copy,278,factor_simp] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat)).
% 109.46/109.60    Following clause subsumed by 279 during input processing: 0 [factor_simp] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat)).
% 109.46/109.60    Following clause subsumed by 92 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 92 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=6): 280 [] c_Message_Omsg_ONumber(A)!=hAPP(c_Message_Omsg_OKey,B).
% 109.46/109.60  ** KEPT (pick-wt=6): 281 [] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 109.46/109.60  ** KEPT (pick-wt=6): 282 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 283 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONumber(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 284 [] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 109.46/109.60  ** KEPT (pick-wt=7): 285 [] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 109.46/109.60  ** KEPT (pick-wt=6): 286 [] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 109.46/109.60  ** KEPT (pick-wt=6): 287 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 109.46/109.60  ** KEPT (pick-wt=7): 288 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_OHPair(B,C).
% 109.46/109.60  ** KEPT (pick-wt=7): 289 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.60  ** KEPT (pick-wt=7): 290 [] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 109.46/109.60  ** KEPT (pick-wt=6): 291 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 109.46/109.60  ** KEPT (pick-wt=7): 292 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.60  ** KEPT (pick-wt=20): 293 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=18): 294 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg))| -hBOOL(c_in(B,c_Event_Obad,tc_Message_Oagent)).
% 109.46/109.60  ** KEPT (pick-wt=38): 295 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oparts(B),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat))| -hBOOL(c_in(D,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(D,C,tc_Message_Omsg))),tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=17): 296 [] hBOOL(c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.60  ** KEPT (pick-wt=21): 297 [] -hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(C,D),B,tc_Event_Oevent))),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=19): 298 [] hBOOL(c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent))|B=c_Message_Oagent_OSpy.
% 109.46/109.60  ** KEPT (pick-wt=21): 299 [] -hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(C,D),B,tc_Event_Oevent))),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=22): 300 [] -hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,E),B,tc_Event_Oevent))),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=8): 301 [] -hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(A)),c_Event_Oused(A),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=8): 302 [] -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=9): 303 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=4): 304 [] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OSpy.
% 109.46/109.60  ** KEPT (pick-wt=3): 306 [copy,305,flip.1] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 109.46/109.60  ** KEPT (pick-wt=13): 307 [] -hBOOL(hAPP(A,c_Message_Oagent_Oagent__case(B,C,D,c_Message_Oagent_OSpy,t_a)))|hBOOL(hAPP(A,D)).
% 109.46/109.60    Following clause subsumed by 304 during input processing: 0 [flip.1] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OSpy.
% 109.46/109.60    Following clause subsumed by 306 during input processing: 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 109.46/109.60  ** KEPT (pick-wt=9): 308 [] -hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Message_OsymKeys,tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=18): 309 [] hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 109.46/109.60  ** KEPT (pick-wt=16): 310 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)).
% 109.46/109.60  ** KEPT (pick-wt=27): 311 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg))| -hBOOL(c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=20): 312 [] -hBOOL(c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 313 [] hBOOL(c_in(c_Message_OinvKey(A),c_Message_OkeysFor(B),tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=23): 314 [] hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=23): 315 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=15): 316 [] hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=13): 317 [] hBOOL(c_in(c_Message_Osko__Message__Xparts__singleton__1__1(A,B),A,tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Oparts(A),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 318 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oparts(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 319 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oparts(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 320 [] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oparts(B)| -hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=19): 321 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -c_lesse_quals(C,c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Oparts(C),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 322 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oparts(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=23): 323 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oparts(C),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=9): 324 [] -hBOOL(c_in(A,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=12): 325 [] -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 325 during input processing: 0 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 325 during input processing: 0 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)).
% 109.46/109.60    Following clause subsumed by 206 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=15): 326 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 327 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Event_Oused(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 328 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Event_Oused(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=27): 329 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=9): 330 [] c_Message_OinvKey(A)=A| -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=11): 331 [] hBOOL(c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=11): 332 [] hBOOL(c_in(A,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=8): 333 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(A),B),c_Message_OsymKeys,tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=23): 334 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60  ** KEPT (pick-wt=23): 335 [] hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.60    Following clause subsumed by 203 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat)).
% 109.46/109.60  ** KEPT (pick-wt=16): 336 [] hBOOL(c_in(A,B,tc_nat))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=13): 337 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=18): 338 [] hBOOL(c_in(A,c_Message_OkeysFor(B),tc_nat))| -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=11): 339 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=14): 340 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=13): 341 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Message_Oparts(B)),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=10): 342 [] hAPP(c_Message_Omsg_OKey,A)!=hAPP(c_Message_Omsg_OKey,B)|A=B.
% 109.46/109.60  ** KEPT (pick-wt=9): 343 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 109.46/109.60  ** KEPT (pick-wt=9): 344 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 109.46/109.60  ** KEPT (pick-wt=8): 345 [] -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=6): 346 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 347 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 348 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 349 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 350 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 351 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 352 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 353 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 109.46/109.60  ** KEPT (pick-wt=7): 354 [] A=B| -c_fe_qual(A,B,C).
% 109.46/109.60    Following clause subsumed by 18 during input processing: 0 [copy,3,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.60    Following clause subsumed by 99 during input processing: 0 [copy,4,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 109.46/109.60    Following clause subsumed by 83 during input processing: 0 [copy,8,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 109.46/109.60    Following clause subsumed by 274 during input processing: 0 [copy,9,flip.1] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 109.46/109.60    Following clause subsumed by 183 during input processing: 0 [copy,10,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 109.46/109.60    Following clause subsumed by 93 during input processing: 0 [copy,17,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 109.46/109.60    Following clause subsumed by 3 during input processing: 0 [copy,18,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 109.46/109.60  ** KEPT (pick-wt=6): 355 [copy,21,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_ONumber(C).
% 109.46/109.60    Following clause subsumed by 268 during input processing: 0 [copy,22,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.60    Following clause subsumed by 223 during input processing: 0 [copy,24,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_ONonce(B).
% 109.46/109.60    Following clause subsumed by 171 during input processing: 0 [copy,25,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 109.46/109.60    Following clause subsumed by 60 during input processing: 0 [copy,33,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OHash(B).
% 109.46/109.60    Following clause subsumed by 158 during input processing: 0 [copy,42,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 109.46/109.60    Following clause subsumed by 159 during input processing: 0 [copy,43,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 109.46/109.60    Following clause subsumed by 233 during input processing: 0 [copy,57,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 109.46/109.60    Following clause subsumed by 119 during input processing: 0 [copy,58,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONumber(B).
% 109.46/109.60    Following clause subsumed by 33 during input processing: 0 [copy,60,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONumber(B).
% 109.46/109.60    Following clause subsumed by 115 during input processing: 0 [copy,78,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 109.46/109.60    Following clause subsumed by 8 during input processing: 0 [copy,83,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.60    Following clause subsumed by 269 during input processing: 0 [copy,87,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 109.46/109.60    Following clause subsumed by 17 during input processing: 0 [copy,93,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.60    Following clause subsumed by 149 during input processing: 0 [copy,94,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 109.46/109.60    Following clause subsumed by 4 during input processing: 0 [copy,99,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 109.46/109.60    Following clause subsumed by 125 during input processing: 0 [copy,104,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 109.46/109.60    Following clause subsumed by 175 during input processing: 0 [copy,106,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.60    Following clause subsumed by 78 during input processing: 0 [copy,115,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 109.46/109.60    Following clause subsumed by 58 during input processing: 0 [copy,119,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OAgent(B).
% 109.46/109.60    Following clause subsumed by 229 during input processing: 0 [copy,124,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 109.46/109.60    Following clause subsumed by 104 during input processing: 0 [copy,125,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.60    Following clause subsumed by 177 during input processing: 0 [copy,132,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 109.46/109.60  ** KEPT (pick-wt=6): 362 [copy,134,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_ONonce(C).
% 109.46/109.60    Following clause subsumed by 230 during input processing: 0 [copy,141,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 109.46/109.60  ** KEPT (pick-wt=6): 365 [copy,148,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_OHash(C).
% 109.46/109.60    Following clause subsumed by 94 during input processing: 0 [copy,149,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 109.46/109.60    Following clause subsumed by 42 during input processing: 0 [copy,158,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.60    Following clause subsumed by 43 during input processing: 0 [copy,159,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 109.46/109.60    Following clause subsumed by 25 during input processing: 0 [copy,171,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 109.46/109.60    Following clause subsumed by 106 during input processing: 0 [copy,175,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONumber(C).
% 109.46/109.60    Following clause subsumed by 132 during input processing: 0 [copy,177,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 109.46/109.60  179 back subsumes 165.
% 109.46/109.60    Following clause subsumed by 10 during input processing: 0 [copy,183,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 109.46/109.60  203 back subsumes 81.
% 109.46/109.60  203 back subsumes 28.
% 109.46/109.60  206 back subsumes 180.
% 109.46/109.60  217 back subsumes 167.
% 109.46/109.60  219 back subsumes 37.
% 109.46/109.60    Following clause subsumed by 24 during input processing: 0 [copy,223,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONumber(B).
% 109.46/109.60    Following clause subsumed by 124 during input processing: 0 [copy,229,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 109.46/109.60    Following clause subsumed by 141 during input processing: 0 [copy,230,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 109.46/109.60    Following clause subsumed by 57 during input processing: 0 [copy,233,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.60    Following clause subsumed by 267 during input processing: 0 [copy,250,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 109.46/109.60  ** KEPT (pick-wt=6): 375 [copy,261,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_OAgent(C).
% 109.46/109.60  ** KEPT (pick-wt=7): 376 [copy,263,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 109.46/109.60    Following clause subsumed by 250 during input processing: 0 [copy,267,flip.1] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 109.46/109.60    Following clause subsumed by 22 during input processing: 0 [copy,268,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONumber(C).
% 109.46/109.60    Following clause subsumed by 87 during input processing: 0 [copy,269,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 109.46/109.60    Following clause subsumed by 9 during input processing: 0 [copy,274,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 109.46/109.60    Following clause subsumed by 283 during input processing: 0 [copy,280,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONumber(B).
% 109.46/109.60    Following clause subsumed by 287 during input processing: 0 [copy,281,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 109.46/109.60    Following clause subsumed by 286 during input processing: 0 [copy,282,flip.1] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 109.46/109.60    Following clause subsumed by 280 during input processing: 0 [copy,283,flip.1] c_Message_Omsg_ONumber(A)!=hAPP(c_Message_Omsg_OKey,B).
% 109.46/109.60    Following clause subsumed by 291 during input processing: 0 [copy,284,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 109.46/109.60    Following clause subsumed by 292 during input processing: 0 [copy,285,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 109.46/109.60    Following clause subsumed by 282 during input processing: 0 [copy,286,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 109.46/109.60    Following clause subsumed by 281 during input processing: 0 [copy,287,flip.1] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 109.46/109.60  ** KEPT (pick-wt=7): 379 [copy,288,flip.1] c_Message_OHPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 109.46/109.60    Following clause subsumed by 290 during input processing: 0 [copy,289,flip.1] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 109.46/109.60    Following clause subsumed by 289 during input processing: 0 [copy,290,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 109.46/109.60    Following clause subsumed by 284 during input processing: 0 [copy,291,flip.1] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 109.46/109.60    Following clause subsumed by 285 during input processing: 0 [copy,292,flip.1] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 109.46/109.60    Following clause subsumed by 21 during input processing: 0 [copy,355,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_OHPair(B,C).
% 109.46/109.60    Following clause subsumed by 134 during input processing: 0 [copy,362,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_OHPair(B,C).
% 109.46/109.60    Following clause subsumed by 148 during input processing: 0 [copy,365,flip.1] c_Message_Omsg_OHash(A)!=c_Message_OHPair(B,C).
% 109.46/109.60  373 back subsumes 356.
% 109.46/109.60    Following clause subsumed by 261 during input processing: 0 [copy,375,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_OHPair(B,C).
% 109.46/109.60    Following clause subsumed by 263 during input processing: 0 [copy,376,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_OHPair(C,D).
% 109.46/109.60    Following clause subsumed by 288 during input processing: 0 [copy,379,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_OHPair(B,C).
% 109.46/109.60  
% 109.46/109.60  ------------> process sos:
% 109.46/109.60  ** KEPT (pick-wt=3): 381 [] A=A.
% 109.46/109.60  ** KEPT (pick-wt=19): 382 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=8): 383 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 109.46/109.60  ---> New Demodulator: 384 [new_demod,383] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 109.46/109.60  ** KEPT (pick-wt=13): 385 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONumber(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 109.46/109.60  ---> New Demodulator: 386 [new_demod,385] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONumber(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 109.46/109.60  ** KEPT (pick-wt=21): 387 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_ONumber(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONumber(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.60  ** KEPT (pick-wt=9): 388 [] hBOOL(c_in(c_List_Olist_ONil(A),c_List_Olists(B,A),tc_List_Olist(A))).
% 109.46/109.60  ** KEPT (pick-wt=9): 390 [copy,389,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 109.46/109.60  ---> New Demodulator: 391 [new_demod,390] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 109.46/109.60  ** KEPT (pick-wt=8): 392 [] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 109.46/109.60  ---> New Demodulator: 393 [new_demod,392] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 109.46/109.60  ** KEPT (pick-wt=9): 394 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.60  ---> New Demodulator: 395 [new_demod,394] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.60  ** KEPT (pick-wt=9): 396 [] c_lesse_quals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=19): 398 [copy,397,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 109.46/109.60  ---> New Demodulator: 399 [new_demod,398] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=19): 401 [copy,400,demod,399] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=13): 402 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 109.46/109.60  ---> New Demodulator: 403 [new_demod,402] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 109.46/109.60  ** KEPT (pick-wt=7): 404 [] hBOOL(c_in(c_Message_Omsg_ONumber(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=9): 406 [copy,405,demod,391] c_lesse_quals(c_List_Oset(c_List_Olist_ONil(A),A),B,tc_fun(A,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=9): 407 [] c_lesse_quals(c_Event_OinitState(A),c_Event_Oknows(A,B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=14): 408 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 109.46/109.60  ---> New Demodulator: 409 [new_demod,408] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=14): 410 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 109.46/109.60  ---> New Demodulator: 411 [new_demod,410] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=12): 412 [] c_Message_Oparts(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ---> New Demodulator: 413 [new_demod,412] c_Message_Oparts(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=15): 414 [] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_ONumber(H),I)=hAPP(B,H).
% 109.46/109.60  ** KEPT (pick-wt=23): 415 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OMPair(C,D),E,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(C,D),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),E,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.60  ** KEPT (pick-wt=24): 416 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_OHPair(A,B),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.60  ** KEPT (pick-wt=15): 417 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 109.46/109.60  ** KEPT (pick-wt=10): 419 [copy,418,demod,391,391] c_Message_OkeysFor(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg))=c_List_Oset(c_List_Olist_ONil(tc_nat),tc_nat).
% 109.46/109.60  ---> New Demodulator: 420 [new_demod,419] c_Message_OkeysFor(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg))=c_List_Oset(c_List_Olist_ONil(tc_nat),tc_nat).
% 109.46/109.60  ** KEPT (pick-wt=19): 421 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=15): 422 [] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_ONonce(H),I)=hAPP(C,H).
% 109.46/109.60  ** KEPT (pick-wt=14): 423 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D)).
% 109.46/109.60  ** KEPT (pick-wt=23): 425 [copy,424,demod,391] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(C,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(D),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=35): 427 [copy,426,demod,391,391] c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=15): 428 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_ONonce(H),I)=hAPP(C,H).
% 109.46/109.60    Following clause subsumed by 417 during input processing: 0 [demod,391,391] c_Set_Oinsert(A,c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(C),C),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(C),C),C),C).
% 109.46/109.60  ** KEPT (pick-wt=16): 429 [] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))).
% 109.46/109.60  ---> New Demodulator: 430 [new_demod,429] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))).
% 109.46/109.60  ** KEPT (pick-wt=13): 432 [copy,431,demod,391,391] c_Set_Oimage(A,c_List_Oset(c_List_Olist_ONil(B),B),B,C)=c_List_Oset(c_List_Olist_ONil(C),C).
% 109.46/109.60  ** KEPT (pick-wt=12): 433 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_OinitState(B),tc_Message_Omsg)).
% 109.46/109.60  ** KEPT (pick-wt=23): 434 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=23): 435 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 109.46/109.60  ---> New Demodulator: 436 [new_demod,435] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 109.46/109.60    Following clause subsumed by 381 during input processing: 0 [demod,436] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 109.46/109.60  ** KEPT (pick-wt=17): 437 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C)|hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)).
% 109.46/109.60  ** KEPT (pick-wt=11): 438 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=11): 439 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_ONonce(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=18): 440 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 441 [new_demod,440] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg).
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OAgent(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=10): 443 [copy,442,flip.1] c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),B)=c_Message_OHPair(A,B).
% 109.46/109.61  ---> New Demodulator: 444 [new_demod,443] c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),B)=c_Message_OHPair(A,B).
% 109.46/109.61    Following clause subsumed by 381 during input processing: 0 [demod,444] c_Message_OHPair(A,B)=c_Message_OHPair(A,B).
% 109.46/109.61  ** KEPT (pick-wt=15): 445 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OGets(C,D),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=15): 446 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_ONumber(H),I)=hAPP(B,H).
% 109.46/109.61  ** KEPT (pick-wt=7): 447 [] hBOOL(c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.61    Following clause subsumed by 447 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=9): 448 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.61  ---> New Demodulator: 449 [new_demod,448] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.61  ** KEPT (pick-wt=13): 450 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(C,B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=8): 451 [] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OServer,D)=A.
% 109.46/109.61  ---> New Demodulator: 452 [new_demod,451] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OServer,D)=A.
% 109.46/109.61  ** KEPT (pick-wt=13): 453 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 454 [new_demod,453] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=12): 455 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 109.46/109.61  ---> New Demodulator: 456 [new_demod,455] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 109.46/109.61  ** KEPT (pick-wt=19): 457 [] c_lesse_quals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=22): 458 [] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ---> New Demodulator: 459 [new_demod,458] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=24): 460 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=13): 461 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONumber(A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 462 [new_demod,461] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONumber(A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=9): 463 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=22): 465 [copy,464,demod,391] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_ONonce(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=14): 466 [] c_lesse_quals(c_Set_Oinsert(A,c_Message_Osynth(B),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(A,B,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=21): 467 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 468 [new_demod,467] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=13): 469 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 470 [new_demod,469] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OHash(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=24): 471 [] c_Message_Oparts(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_OHPair(A,B),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 472 [new_demod,471] c_Message_Oparts(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_OHPair(A,B),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=9): 473 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.61  ---> New Demodulator: 474 [new_demod,473] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.61  ** KEPT (pick-wt=15): 475 [] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(A,C),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 476 [new_demod,475] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(A,C),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=11): 478 [copy,477,demod,391] c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(c_List_Olist_ONil(A),A),B,tc_fun(A,tc_bool))=B.
% 109.46/109.61  ---> New Demodulator: 479 [new_demod,478] c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(c_List_Olist_ONil(A),A),B,tc_fun(A,tc_bool))=B.
% 109.46/109.61  ** KEPT (pick-wt=11): 481 [copy,480,demod,391] c_Lattices_Oupper__semilattice__class_Osup(A,c_List_Oset(c_List_Olist_ONil(B),B),tc_fun(B,tc_bool))=A.
% 109.46/109.61  ---> New Demodulator: 482 [new_demod,481] c_Lattices_Oupper__semilattice__class_Osup(A,c_List_Oset(c_List_Olist_ONil(B),B),tc_fun(B,tc_bool))=A.
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),D,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=4): 483 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))).
% 109.46/109.61  ** KEPT (pick-wt=12): 484 [] c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 485 [new_demod,484] c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=7): 486 [] c_lesse_quals(A,c_Message_Oanalz(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=19): 487 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(A),c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=18): 488 [] hBOOL(c_in(A,c_List_Olists(B,C),tc_List_Olist(C)))|hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(B,A,C),c_List_Oset(A,C),C)).
% 109.46/109.61  ** KEPT (pick-wt=24): 490 [copy,489,demod,391] c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(B,C),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(B,C)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=7): 491 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)).
% 109.46/109.61  ** KEPT (pick-wt=13): 492 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 493 [new_demod,492] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=26): 494 [] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_OHash(H),I)=hAPP(hAPP(E,H),c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,H,I)).
% 109.46/109.61    Following clause subsumed by 450 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(B,C,D),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=14): 495 [] c_lesse_quals(c_Set_Oinsert(A,c_Message_Oparts(B),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=14): 497 [copy,496,demod,391,391] hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x)=c_in(v_x,c_List_Oset(c_List_Olist_ONil(t_a),t_a),t_a).
% 109.46/109.61  ---> New Demodulator: 498 [new_demod,497] hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x)=c_in(v_x,c_List_Oset(c_List_Olist_ONil(t_a),t_a),t_a).
% 109.46/109.61  ** KEPT (pick-wt=40): 500 [copy,499,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Message_Omsg_Omsg__rec(D,E,F,G,H,A,I,B,J)),c_Message_Omsg_Omsg__rec(D,E,F,G,H,A,I,C,J))=c_Message_Omsg_Omsg__rec(D,E,F,G,H,A,I,c_Message_Omsg_OMPair(B,C),J).
% 109.46/109.61  ---> New Demodulator: 501 [new_demod,500] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Message_Omsg_Omsg__rec(D,E,F,G,H,A,I,B,J)),c_Message_Omsg_Omsg__rec(D,E,F,G,H,A,I,C,J))=c_Message_Omsg_Omsg__rec(D,E,F,G,H,A,I,c_Message_Omsg_OMPair(B,C),J).
% 109.46/109.61  ** KEPT (pick-wt=5): 502 [] hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)).
% 109.46/109.61  ** KEPT (pick-wt=16): 503 [] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(A,D),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 504 [new_demod,503] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(A,D),tc_Message_Omsg).
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OHash(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61    Following clause subsumed by 406 during input processing: 0 [demod,391,391] c_lesse_quals(c_List_Oset(c_List_Olist_ONil(A),A),c_List_Oset(c_List_Olist_ONil(A),A),tc_fun(A,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=13): 505 [] c_lesse_quals(c_List_Oset(A,B),c_List_Oset(c_List_Olist_OCons(C,A,B),B),tc_fun(B,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=21): 506 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 507 [new_demod,506] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=13): 508 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=17): 510 [copy,509,demod,391] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(C),C),C),B,tc_fun(C,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=18): 511 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 109.46/109.61  ---> New Demodulator: 512 [new_demod,511] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=18): 513 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OCrypt(H,I),J)=hAPP(hAPP(G,H),I).
% 109.46/109.61  ** KEPT (pick-wt=6): 514 [] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 109.46/109.61  ---> New Demodulator: 515 [new_demod,514] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 109.46/109.61    Following clause subsumed by 381 during input processing: 0 [demod,444] c_Message_OHPair(A,B)=c_Message_OHPair(A,B).
% 109.46/109.61  ** KEPT (pick-wt=12): 516 [] c_Message_Oanalz(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ---> New Demodulator: 517 [new_demod,516] c_Message_Oanalz(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=13): 519 [copy,518,demod,391,391] c_List_Oset(c_List_Olist_ONil(A),A)=c_Set_Oimage(B,c_List_Oset(c_List_Olist_ONil(C),C),C,A).
% 109.46/109.61  ** KEPT (pick-wt=11): 520 [] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OFriend(D),E)=hAPP(B,D).
% 109.46/109.61  ** KEPT (pick-wt=13): 521 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 522 [new_demod,521] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=19): 523 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 109.46/109.61  ---> New Demodulator: 524 [new_demod,523] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 109.46/109.61    Following clause subsumed by 450 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,E),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=10): 525 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 109.46/109.61  ---> New Demodulator: 526 [new_demod,525] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OMPair(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(B,C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),D,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=8): 527 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=18): 528 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OMPair(H,I),J)=hAPP(hAPP(F,H),I).
% 109.46/109.61  ** KEPT (pick-wt=8): 529 [] hBOOL(c_in(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)).
% 109.46/109.61  ** KEPT (pick-wt=8): 530 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 109.46/109.61    Following clause subsumed by 530 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 109.46/109.61    Following clause subsumed by 530 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 109.46/109.61  ** KEPT (pick-wt=6): 531 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 109.46/109.61  ---> New Demodulator: 532 [new_demod,531] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 109.46/109.61  ** KEPT (pick-wt=6): 533 [] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 109.46/109.61  ---> New Demodulator: 534 [new_demod,533] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 109.46/109.61  ** KEPT (pick-wt=16): 535 [] c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ---> New Demodulator: 536 [new_demod,535] c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=7): 537 [] c_lesse_quals(A,c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=10): 539 [copy,538,demod,391,391] c_Message_Oparts(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg))=c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 540 [new_demod,539] c_Message_Oparts(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg))=c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=10): 541 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_OinitState(A),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=11): 542 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_OinitState(C),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=29): 544 [copy,543,flip.1] hAPP(hAPP(hAPP(A,B),C),c_Message_Omsg_Omsg__rec(D,E,F,G,H,I,A,C,J))=c_Message_Omsg_Omsg__rec(D,E,F,G,H,I,A,c_Message_Omsg_OCrypt(B,C),J).
% 109.46/109.61  ---> New Demodulator: 545 [new_demod,544] hAPP(hAPP(hAPP(A,B),C),c_Message_Omsg_Omsg__rec(D,E,F,G,H,I,A,C,J))=c_Message_Omsg_Omsg__rec(D,E,F,G,H,I,A,c_Message_Omsg_OCrypt(B,C),J).
% 109.46/109.61  ** KEPT (pick-wt=25): 546 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 109.46/109.61    Following clause subsumed by 381 during input processing: 0 [demod,524] c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 109.46/109.61    Following clause subsumed by 450 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(B,C),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=9): 547 [] c_lesse_quals(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=10): 549 [copy,548,demod,391,391] c_Message_Oanalz(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg))=c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 550 [new_demod,549] c_Message_Oanalz(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg))=c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=15): 551 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OAgent(H),I)=hAPP(A,H).
% 109.46/109.61  ** KEPT (pick-wt=7): 552 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 109.46/109.61  ** KEPT (pick-wt=15): 553 [] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_OAgent(H),I)=hAPP(A,H).
% 109.46/109.61  ** KEPT (pick-wt=11): 554 [] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OFriend(D),E)=hAPP(B,D).
% 109.46/109.61  ** KEPT (pick-wt=5): 555 [] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 109.46/109.61  ---> New Demodulator: 556 [new_demod,555] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 109.46/109.61  ** KEPT (pick-wt=21): 557 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=13): 558 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 559 [new_demod,558] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=16): 560 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 561 [new_demod,560] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=7): 562 [] c_lesse_quals(A,c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=15): 563 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OHash(H),I)=hAPP(E,H).
% 109.46/109.61    Following clause subsumed by 381 during input processing: 0 [demod,391] c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 109.46/109.61  ** KEPT (pick-wt=7): 564 [] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 109.46/109.61  ** KEPT (pick-wt=6): 565 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 109.46/109.61    Following clause subsumed by 565 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 109.46/109.61    Following clause subsumed by 450 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(B,C),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61    Following clause subsumed by 450 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(C,D),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=20): 567 [copy,566,demod,391] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61    Following clause subsumed by 530 during input processing: 0 [demod,391] hBOOL(c_in(A,c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(B),B),B),B)).
% 109.46/109.61  ** KEPT (pick-wt=9): 568 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.61  ---> New Demodulator: 569 [new_demod,568] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.61  ** KEPT (pick-wt=18): 570 [] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(A,C),tc_Message_Omsg)|A=c_Message_Oagent_OSpy.
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OAgent(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=6): 571 [] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 109.46/109.61  ---> New Demodulator: 572 [new_demod,571] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 109.46/109.61  ** KEPT (pick-wt=8): 573 [] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OServer,D)=A.
% 109.46/109.61  ---> New Demodulator: 574 [new_demod,573] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OServer,D)=A.
% 109.46/109.61  ** KEPT (pick-wt=13): 575 [] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 109.46/109.61  ---> New Demodulator: 576 [new_demod,575] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 109.46/109.61  ** KEPT (pick-wt=10): 577 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 109.46/109.61  ---> New Demodulator: 578 [new_demod,577] c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 109.46/109.61  ** KEPT (pick-wt=10): 579 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 109.46/109.61  ---> New Demodulator: 580 [new_demod,579] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 109.46/109.61    Following clause subsumed by 381 during input processing: 0 [demod,391,391,384,391] c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 109.46/109.61  ** KEPT (pick-wt=25): 581 [] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=14): 582 [] c_lesse_quals(c_Set_Oinsert(A,c_Message_Oanalz(B),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_ONumber(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONumber(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=16): 583 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,hAPP(c_Message_Omsg_OKey,H),I)=hAPP(D,H).
% 109.46/109.61  ** KEPT (pick-wt=16): 584 [] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,hAPP(c_Message_Omsg_OKey,H),I)=hAPP(D,H).
% 109.46/109.61    Following clause subsumed by 567 during input processing: 0 [demod,391] c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=8): 585 [] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OSpy,D)=C.
% 109.46/109.61  ---> New Demodulator: 586 [new_demod,585] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OSpy,D)=C.
% 109.46/109.61  ** KEPT (pick-wt=8): 587 [] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OSpy,D)=C.
% 109.46/109.61  ---> New Demodulator: 588 [new_demod,587] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OSpy,D)=C.
% 109.46/109.61  ** KEPT (pick-wt=12): 589 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C).
% 109.46/109.61  ---> New Demodulator: 590 [new_demod,589] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C).
% 109.46/109.61  ** KEPT (pick-wt=9): 592 [copy,591,demod,391] c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(A)))=c_List_Oset(c_List_Olist_ONil(tc_nat),tc_nat).
% 109.46/109.61  ---> New Demodulator: 593 [new_demod,592] c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(A)))=c_List_Oset(c_List_Olist_ONil(tc_nat),tc_nat).
% 109.46/109.61  ** KEPT (pick-wt=11): 595 [copy,594,demod,391] c_Message_OkeysFor(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_List_Oset(c_List_Olist_ONil(tc_nat),tc_nat).
% 109.46/109.61  ---> New Demodulator: 596 [new_demod,595] c_Message_OkeysFor(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_List_Oset(c_List_Olist_ONil(tc_nat),tc_nat).
% 109.46/109.61  ** KEPT (pick-wt=8): 598 [copy,597,flip.1] c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))=c_NS__Shared__Mirabelle_Ons__sharedp(v_x).
% 109.46/109.61  ---> New Demodulator: 599 [new_demod,598] c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))=c_NS__Shared__Mirabelle_Ons__sharedp(v_x).
% 109.46/109.61  ** KEPT (pick-wt=12): 600 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_Oused(C),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=22): 601 [] c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(B),tc_Message_Omsg)|hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oanalz(B)),tc_nat)).
% 109.46/109.61  ** KEPT (pick-wt=15): 602 [] c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 603 [new_demod,602] c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oparts(B),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=12): 604 [] c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 109.46/109.61  ---> New Demodulator: 605 [new_demod,604] c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=13): 606 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=10): 607 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.61  ---> New Demodulator: 608 [new_demod,607] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 109.46/109.61  ** KEPT (pick-wt=7): 609 [] hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Message_OsymKeys,tc_nat)).
% 109.46/109.61  ** KEPT (pick-wt=7): 610 [] hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.61  ** KEPT (pick-wt=11): 611 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(A,B),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=11): 612 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oused(C),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=10): 613 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg)).
% 109.46/109.61    Following clause subsumed by 613 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=12): 614 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=10): 615 [] c_lesse_quals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),c_Event_Oused(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=6): 616 [] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 109.46/109.61  ---> New Demodulator: 617 [new_demod,616] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 109.46/109.61  ** KEPT (pick-wt=5): 618 [] hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)).
% 109.46/109.61  ** KEPT (pick-wt=6): 619 [] hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 109.46/109.61  ** KEPT (pick-wt=9): 620 [] hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat)).
% 109.46/109.61  ** KEPT (pick-wt=2): 621 [] class_Lattices_Oupper__semilattice(tc_nat).
% 109.46/109.61  ** KEPT (pick-wt=2): 622 [] class_Orderings_Opreorder(tc_nat).
% 109.46/109.61  ** KEPT (pick-wt=2): 623 [] class_Orderings_Olinorder(tc_nat).
% 109.46/109.61  ** KEPT (pick-wt=2): 624 [] class_Lattices_Olattice(tc_nat).
% 109.46/109.61  ** KEPT (pick-wt=2): 625 [] class_Orderings_Oorder(tc_nat).
% 109.46/109.61  ** KEPT (pick-wt=2): 626 [] class_Orderings_Obot(tc_nat).
% 109.46/109.61  ** KEPT (pick-wt=2): 627 [] class_HOL_Oord(tc_nat).
% 109.46/109.61  ** KEPT (pick-wt=2): 628 [] class_Lattices_Oupper__semilattice(tc_bool).
% 109.46/109.61  ** KEPT (pick-wt=2): 629 [] class_Lattices_Obounded__lattice(tc_bool).
% 109.46/109.61  ** KEPT (pick-wt=2): 630 [] class_Orderings_Opreorder(tc_bool).
% 109.46/109.61  ** KEPT (pick-wt=2): 631 [] class_Lattices_Olattice(tc_bool).
% 109.46/109.61  ** KEPT (pick-wt=2): 632 [] class_Orderings_Oorder(tc_bool).
% 109.46/109.61  ** KEPT (pick-wt=2): 633 [] class_Orderings_Otop(tc_bool).
% 109.46/109.61  ** KEPT (pick-wt=2): 634 [] class_Orderings_Obot(tc_bool).
% 109.46/109.61  ** KEPT (pick-wt=2): 635 [] class_HOL_Oord(tc_bool).
% 109.46/109.61  ** KEPT (pick-wt=4): 636 [] c_fe_qual(A,A,B).
% 109.46/109.61    Following clause subsumed by 381 during input processing: 0 [copy,381,flip.1] A=A.
% 109.46/109.61  381 back subsumes 371.
% 109.46/109.61  381 back subsumes 364.
% 109.46/109.61  381 back subsumes 363.
% 109.46/109.61  >>>> Starting back demodulation with 384.
% 109.46/109.61      >> back demodulating 380 with 384.
% 109.46/109.61      >> back demodulating 377 with 384.
% 109.46/109.61      >> back demodulating 374 with 384.
% 109.46/109.61      >> back demodulating 370 with 384.
% 109.46/109.61      >> back demodulating 361 with 384.
% 109.46/109.61      >> back demodulating 358 with 384.
% 109.46/109.61      >> back demodulating 357 with 384.
% 109.46/109.61  >>>> Starting back demodulation with 386.
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [copy,387,flip.1] c_Set_Oinsert(c_Message_Omsg_ONumber(A),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),c_Set_Oinsert(c_Message_Omsg_ONumber(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  >>>> Starting back demodulation with 391.
% 109.46/109.61      >> back demodulating 369 with 391.
% 109.46/109.61      >> back demodulating 368 with 391.
% 109.46/109.61      >> back demodulating 367 with 391.
% 109.46/109.61      >> back demodulating 366 with 391.
% 109.46/109.61      >> back demodulating 324 with 391.
% 109.46/109.61      >> back demodulating 293 with 391.
% 109.46/109.61      >> back demodulating 266 with 391.
% 109.46/109.61      >> back demodulating 256 with 391.
% 109.46/109.61      >> back demodulating 248 with 391.
% 109.46/109.61      >> back demodulating 198 with 391.
% 109.46/109.61      >> back demodulating 159 with 391.
% 109.46/109.61      >> back demodulating 157 with 391.
% 109.46/109.61      >> back demodulating 155 with 391.
% 109.46/109.61      >> back demodulating 154 with 391.
% 109.46/109.61      >> back demodulating 153 with 391.
% 109.46/109.61      >> back demodulating 152 with 391.
% 109.46/109.61      >> back demodulating 129 with 391.
% 109.46/109.61      >> back demodulating 126 with 391.
% 109.46/109.61      >> back demodulating 114 with 391.
% 109.46/109.61      >> back demodulating 107 with 391.
% 109.46/109.61      >> back demodulating 96 with 391.
% 109.46/109.61      >> back demodulating 95 with 391.
% 109.46/109.61      >> back demodulating 84 with 391.
% 109.46/109.61      >> back demodulating 76 with 391.
% 109.46/109.61      >> back demodulating 43 with 391.
% 109.46/109.61      >> back demodulating 29 with 391.
% 109.46/109.61      >> back demodulating 11 with 391.
% 109.46/109.61      >> back demodulating 7 with 391.
% 109.46/109.61  >>>> Starting back demodulation with 393.
% 109.46/109.61  >>>> Starting back demodulation with 395.
% 109.46/109.61  >>>> Starting back demodulation with 399.
% 109.46/109.61  ** KEPT (pick-wt=19): 665 [copy,401,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 109.46/109.61  >>>> Starting back demodulation with 403.
% 109.46/109.61  >>>> Starting back demodulation with 409.
% 109.46/109.61  >>>> Starting back demodulation with 411.
% 109.46/109.61  >>>> Starting back demodulation with 413.
% 109.46/109.61  ** KEPT (pick-wt=15): 666 [copy,414,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__rec(C,A,D,E,F,G,H,c_Message_Omsg_ONumber(B),I).
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [copy,415,flip.1] c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Set_Oinsert(c_Message_Omsg_OCrypt(C,D),E,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(C,D),c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),E,tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61  ** KEPT (pick-wt=24): 667 [copy,416,flip.1] c_Set_Oinsert(c_Message_OHPair(A,B),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)=c_Message_Oanalz(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg)).
% 109.46/109.61    Following clause subsumed by 417 during input processing: 0 [copy,417,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 109.46/109.61  417 back subsumes 415.
% 109.46/109.61  417 back subsumes 387.
% 109.46/109.61  >>>> Starting back demodulation with 420.
% 109.46/109.61  ** KEPT (pick-wt=15): 668 [copy,422,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__rec(C,D,A,E,F,G,H,c_Message_Omsg_ONonce(B),I).
% 109.46/109.61  ** KEPT (pick-wt=23): 669 [copy,425,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,A),B,tc_Event_Oevent)).
% 109.46/109.61  ** KEPT (pick-wt=35): 670 [copy,427,flip.1,demod,436] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.61  ** KEPT (pick-wt=15): 671 [copy,428,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(C,D,A,E,F,G,H,c_Message_Omsg_ONonce(B),I).
% 109.46/109.61  >>>> Starting back demodulation with 430.
% 109.46/109.61    Following clause subsumed by 519 during input processing: 0 [copy,432,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)=c_Set_Oimage(B,c_List_Oset(c_List_Olist_ONil(C),C),C,A).
% 109.46/109.61    Following clause subsumed by 434 during input processing: 0 [copy,434,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 109.46/109.61  >>>> Starting back demodulation with 436.
% 109.46/109.61      >> back demodulating 427 with 436.
% 109.46/109.61  >>>> Starting back demodulation with 441.
% 109.46/109.61  >>>> Starting back demodulation with 444.
% 109.46/109.61  ** KEPT (pick-wt=15): 673 [copy,446,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(C,A,D,E,F,G,H,c_Message_Omsg_ONumber(B),I).
% 109.46/109.61  >>>> Starting back demodulation with 449.
% 109.46/109.61  450 back subsumes 445.
% 109.46/109.61  >>>> Starting back demodulation with 452.
% 109.46/109.61      >> back demodulating 136 with 452.
% 109.46/109.61  >>>> Starting back demodulation with 454.
% 109.46/109.61  >>>> Starting back demodulation with 456.
% 109.46/109.61  >>>> Starting back demodulation with 459.
% 109.46/109.61  >>>> Starting back demodulation with 462.
% 109.46/109.61  ** KEPT (pick-wt=22): 674 [copy,465,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(C,A),B,tc_Event_Oevent)).
% 109.46/109.61  >>>> Starting back demodulation with 468.
% 109.46/109.61  >>>> Starting back demodulation with 470.
% 109.46/109.61  >>>> Starting back demodulation with 472.
% 109.46/109.61  >>>> Starting back demodulation with 474.
% 109.46/109.61  >>>> Starting back demodulation with 476.
% 109.46/109.61  >>>> Starting back demodulation with 479.
% 109.46/109.61  >>>> Starting back demodulation with 482.
% 109.46/109.61  >>>> Starting back demodulation with 485.
% 109.46/109.61  ** KEPT (pick-wt=24): 675 [copy,490,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(B,C)),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(B,C),tc_Message_Omsg)).
% 109.46/109.61  >>>> Starting back demodulation with 493.
% 109.46/109.61  ** KEPT (pick-wt=26): 676 [copy,494,flip.1] hAPP(hAPP(A,B),c_Message_Omsg_Omsg__rec(C,D,E,F,A,G,H,B,I))=c_Message_Omsg_Omsg__rec(C,D,E,F,A,G,H,c_Message_Omsg_OHash(B),I).
% 109.46/109.61  >>>> Starting back demodulation with 498.
% 109.46/109.61  >>>> Starting back demodulation with 501.
% 109.46/109.61  >>>> Starting back demodulation with 504.
% 109.46/109.61  >>>> Starting back demodulation with 507.
% 109.46/109.61    Following clause subsumed by 508 during input processing: 0 [copy,508,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 109.46/109.61  ** KEPT (pick-wt=17): 677 [copy,510,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(B),B),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 109.46/109.61  >>>> Starting back demodulation with 512.
% 109.46/109.61  ** KEPT (pick-wt=18): 678 [copy,513,flip.1] hAPP(hAPP(A,B),C)=c_Message_Omsg_Omsg__case(D,E,F,G,H,I,A,c_Message_Omsg_OCrypt(B,C),J).
% 109.46/109.61  >>>> Starting back demodulation with 515.
% 109.46/109.61      >> back demodulating 207 with 515.
% 109.46/109.61  >>>> Starting back demodulation with 517.
% 109.46/109.61    Following clause subsumed by 432 during input processing: 0 [copy,519,flip.1] c_Set_Oimage(A,c_List_Oset(c_List_Olist_ONil(B),B),B,C)=c_List_Oset(c_List_Olist_ONil(C),C).
% 109.46/109.61  ** KEPT (pick-wt=11): 679 [copy,520,flip.1] hAPP(A,B)=c_Message_Oagent_Oagent__case(C,A,D,c_Message_Oagent_OFriend(B),E).
% 109.46/109.61  >>>> Starting back demodulation with 522.
% 109.46/109.61  >>>> Starting back demodulation with 524.
% 109.46/109.61      >> back demodulating 90 with 524.
% 109.46/109.61  >>>> Starting back demodulation with 526.
% 109.46/109.61  ** KEPT (pick-wt=18): 681 [copy,528,flip.1] hAPP(hAPP(A,B),C)=c_Message_Omsg_Omsg__case(D,E,F,G,H,A,I,c_Message_Omsg_OMPair(B,C),J).
% 109.46/109.61  >>>> Starting back demodulation with 532.
% 109.46/109.61  >>>> Starting back demodulation with 534.
% 109.46/109.61  >>>> Starting back demodulation with 536.
% 109.46/109.61      >> back demodulating 457 with 536.
% 109.46/109.61      >> back demodulating 421 with 536.
% 109.46/109.61      >> back demodulating 372 with 536.
% 109.46/109.61      >> back demodulating 323 with 536.
% 109.46/109.61      >> back demodulating 295 with 536.
% 109.46/109.61      >> back demodulating 210 with 536.
% 109.46/109.61  >>>> Starting back demodulation with 540.
% 109.46/109.61  >>>> Starting back demodulation with 545.
% 109.46/109.61    Following clause subsumed by 581 during input processing: 0 [copy,546,flip.1] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 109.46/109.61  >>>> Starting back demodulation with 550.
% 109.46/109.61  ** KEPT (pick-wt=15): 684 [copy,551,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(A,C,D,E,F,G,H,c_Message_Omsg_OAgent(B),I).
% 109.46/109.61  ** KEPT (pick-wt=15): 685 [copy,553,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__rec(A,C,D,E,F,G,H,c_Message_Omsg_OAgent(B),I).
% 109.46/109.61  ** KEPT (pick-wt=11): 686 [copy,554,flip.1] hAPP(A,B)=c_Message_Oagent_Oagent__rec(C,A,D,c_Message_Oagent_OFriend(B),E).
% 109.46/109.61  >>>> Starting back demodulation with 556.
% 109.46/109.61  557 back subsumes 105.
% 109.46/109.61  >>>> Starting back demodulation with 559.
% 109.46/109.61  >>>> Starting back demodulation with 561.
% 109.46/109.61      >> back demodulating 300 with 561.
% 109.46/109.61  ** KEPT (pick-wt=15): 687 [copy,563,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(C,D,E,F,A,G,H,c_Message_Omsg_OHash(B),I).
% 109.46/109.61  ** KEPT (pick-wt=7): 688 [copy,564,flip.1] c_Event_OinitState(A)=c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)).
% 109.46/109.61  ** KEPT (pick-wt=20): 689 [copy,567,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)).
% 109.46/109.61  567 back subsumes 490.
% 109.46/109.61  >>>> Starting back demodulation with 569.
% 109.46/109.61  >>>> Starting back demodulation with 572.
% 109.46/109.61      >> back demodulating 205 with 572.
% 109.46/109.61  >>>> Starting back demodulation with 574.
% 109.46/109.61  >>>> Starting back demodulation with 576.
% 109.46/109.61      >> back demodulating 505 with 576.
% 109.46/109.61      >> back demodulating 68 with 576.
% 109.46/109.61  >>>> Starting back demodulation with 578.
% 109.46/109.61  >>>> Starting back demodulation with 580.
% 109.46/109.61    Following clause subsumed by 546 during input processing: 0 [copy,581,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 109.46/109.61  ** KEPT (pick-wt=16): 690 [copy,583,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(C,D,E,A,F,G,H,hAPP(c_Message_Omsg_OKey,B),I).
% 109.46/109.61  ** KEPT (pick-wt=16): 691 [copy,584,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__rec(C,D,E,A,F,G,H,hAPP(c_Message_Omsg_OKey,B),I).
% 109.46/109.61  >>>> Starting back demodulation with 586.
% 109.46/109.61      >> back demodulating 307 with 586.
% 109.46/109.61  >>>> Starting back demodulation with 588.
% 109.46/109.61  >>>> Starting back demodulation with 590.
% 109.46/109.61      >> back demodulating 299 with 590.
% 109.46/109.61  >>>> Starting back demodulation with 593.
% 109.46/109.61  >>>> Starting back demodulation with 596.
% 109.46/109.61  >>>> Starting back demodulation with 599.
% 109.46/109.61  >>>> Starting back demodulation with 603.
% 109.46/109.61  >>>> Starting back demodulation with 605.
% 109.46/109.61  >>>> Starting back demodulation with 608.
% 109.46/109.61  >>>> Starting back demodulation with 617.
% 109.46/109.61      >> back demodulating 341 with 617.
% 109.46/109.61  646 back subsumes 641.
% 109.46/109.61    Following clause subsumed by 661 during input processing: 0 [copy,647,flip.1] c_Set_Oinsert(A,B,C)!=c_List_Oset(c_List_Olist_ONil(C),C).
% 109.46/109.61    Following clause subsumed by 647 during input processing: 0 [copy,661,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)!=c_Set_Oinsert(B,C,A).
% 109.46/109.61    Following clause subsumed by 401 during input processing: 0 [copy,665,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 109.46/109.61    Following clause subsumed by 414 during input processing: 0 [copy,666,flip.1] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_ONumber(H),I)=hAPP(B,H).
% 109.46/109.61    Following clause subsumed by 416 during input processing: 0 [copy,667,flip.1] c_Message_Oanalz(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_OHPair(A,B),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg).
% 109.46/109.61    Following clause subsumed by 422 during input processing: 0 [copy,668,flip.1] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_ONonce(H),I)=hAPP(C,H).
% 109.46/109.61    Following clause subsumed by 425 during input processing: 0 [copy,669,flip.1] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(C,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(D),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61    Following clause subsumed by 672 during input processing: 0 [copy,670,flip.1] c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 109.46/109.61    Following clause subsumed by 428 during input processing: 0 [copy,671,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_ONonce(H),I)=hAPP(C,H).
% 109.46/109.61    Following clause subsumed by 670 during input processing: 0 [copy,672,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)).
% 109.46/109.61    Following clause subsumed by 446 during input processing: 0 [copy,673,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_ONumber(H),I)=hAPP(B,H).
% 110.32/110.38    Following clause subsumed by 465 during input processing: 0 [copy,674,flip.1] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 110.32/110.38    Following clause subsumed by 567 during input processing: 0 [copy,675,flip.1] c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(B,C),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(B,C)),tc_fun(tc_Message_Omsg,tc_bool)).
% 110.32/110.38    Following clause subsumed by 494 during input processing: 0 [copy,676,flip.1] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_OHash(H),I)=hAPP(hAPP(E,H),c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,H,I)).
% 110.32/110.38    Following clause subsumed by 510 during input processing: 0 [copy,677,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(C),C),C),B,tc_fun(C,tc_bool)).
% 110.32/110.38    Following clause subsumed by 513 during input processing: 0 [copy,678,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OCrypt(H,I),J)=hAPP(hAPP(G,H),I).
% 110.32/110.38    Following clause subsumed by 520 during input processing: 0 [copy,679,flip.1] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OFriend(D),E)=hAPP(B,D).
% 110.32/110.38    Following clause subsumed by 528 during input processing: 0 [copy,681,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OMPair(H,I),J)=hAPP(hAPP(F,H),I).
% 110.32/110.38    Following clause subsumed by 551 during input processing: 0 [copy,684,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OAgent(H),I)=hAPP(A,H).
% 110.32/110.38    Following clause subsumed by 553 during input processing: 0 [copy,685,flip.1] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_OAgent(H),I)=hAPP(A,H).
% 110.32/110.38    Following clause subsumed by 554 during input processing: 0 [copy,686,flip.1] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OFriend(D),E)=hAPP(B,D).
% 110.32/110.38    Following clause subsumed by 563 during input processing: 0 [copy,687,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OHash(H),I)=hAPP(E,H).
% 110.32/110.38    Following clause subsumed by 564 during input processing: 0 [copy,688,flip.1] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 110.32/110.38    Following clause subsumed by 567 during input processing: 0 [copy,689,flip.1] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 110.32/110.38  689 back subsumes 675.
% 110.32/110.38    Following clause subsumed by 583 during input processing: 0 [copy,690,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,hAPP(c_Message_Omsg_OKey,H),I)=hAPP(D,H).
% 110.32/110.38    Following clause subsumed by 584 during input processing: 0 [copy,691,flip.1] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,hAPP(c_Message_Omsg_OKey,H),I)=hAPP(D,H).
% 110.32/110.38  
% 110.32/110.38  ======= end of input processing =======
% 110.32/110.38  
% 110.32/110.38  =========== start of search ===========
% 110.32/110.38  
% 110.32/110.38  
% 110.32/110.38  Resetting weight limit to 2.
% 110.32/110.38  
% 110.32/110.38  
% 110.32/110.38  Resetting weight limit to 2.
% 110.32/110.38  
% 110.32/110.38  sos_size=211
% 110.32/110.38  
% 110.32/110.38  Search stopped in tp_alloc by max_mem option.
% 110.32/110.38  
% 110.32/110.38  Search stopped in tp_alloc by max_mem option.
% 110.32/110.38  
% 110.32/110.38  ============ end of search ============
% 110.32/110.38  
% 110.32/110.38  -------------- statistics -------------
% 110.32/110.38  clauses given                197
% 110.32/110.38  clauses generated          79402
% 110.32/110.38  clauses kept                 599
% 110.32/110.38  clauses forward subsumed     185
% 110.32/110.38  clauses back subsumed         17
% 110.32/110.38  Kbytes malloced            11718
% 110.32/110.38  
% 110.32/110.38  ----------- times (seconds) -----------
% 110.32/110.38  user CPU time          0.81          (0 hr, 0 min, 0 sec)
% 110.32/110.38  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 110.32/110.38  wall-clock time      110             (0 hr, 1 min, 50 sec)
% 110.32/110.38  
% 110.32/110.38  Process 24667 finished Wed Jul 27 06:32:08 2022
% 110.32/110.38  Otter interrupted
% 110.32/110.38  PROOF NOT FOUND
%------------------------------------------------------------------------------