%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV723-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n015.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 106.35s 106.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV723-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13  % Command  : otter-tptp-script %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Jul 27 06:21:27 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 104.95/105.00  ----- Otter 3.3f, August 2004 -----
% 104.95/105.00  The process was started by sandbox2 on n015.cluster.edu,
% 104.95/105.00  Wed Jul 27 06:21:27 2022
% 104.95/105.00  The command was "./otter".  The process ID is 18888.
% 104.95/105.00  
% 104.95/105.00  set(prolog_style_variables).
% 104.95/105.00  set(auto).
% 104.95/105.00     dependent: set(auto1).
% 104.95/105.00     dependent: set(process_input).
% 104.95/105.00     dependent: clear(print_kept).
% 104.95/105.00     dependent: clear(print_new_demod).
% 104.95/105.00     dependent: clear(print_back_demod).
% 104.95/105.00     dependent: clear(print_back_sub).
% 104.95/105.00     dependent: set(control_memory).
% 104.95/105.00     dependent: assign(max_mem, 12000).
% 104.95/105.00     dependent: assign(pick_given_ratio, 4).
% 104.95/105.00     dependent: assign(stats_level, 1).
% 104.95/105.00     dependent: assign(max_seconds, 10800).
% 104.95/105.00  clear(print_given).
% 104.95/105.00  
% 104.95/105.00  list(usable).
% 104.95/105.00  0 [] A=A.
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 104.95/105.00  0 [] hBOOL(c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat)).
% 104.95/105.00  0 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat)).
% 104.95/105.00  0 [] c_Message_OinvKey(V_K)=V_K| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)).
% 104.95/105.00  0 [] hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)).
% 104.95/105.00  0 [] hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)).
% 104.95/105.00  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 104.95/105.00  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 104.95/105.00  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 104.95/105.00  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 104.95/105.00  0 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 104.95/105.00  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).
% 104.95/105.00  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)).
% 104.95/105.00  0 [] -hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat)).
% 104.95/105.00  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONumber(V_nat).
% 104.95/105.00  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).
% 104.95/105.00  0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_ONumber(V_nat).
% 104.95/105.00  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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).
% 104.95/105.00  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).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONumber(V_nat).
% 104.95/105.00  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)).
% 104.95/105.00  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))).
% 104.95/105.00  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))).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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))).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  0 [] c_Message_Omsg_ONumber(V_N)!=c_Message_OHPair(V_X,V_Y).
% 104.95/105.00  0 [] c_Message_OinvKey(V_K)!=c_Message_OinvKey(V_K_H)|V_K=V_K_H.
% 104.95/105.00  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 104.95/105.00  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  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)).
% 104.95/105.00  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 104.95/105.00  0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))!=hAPP(c_Public_OpublicKey(V_c),V_A_H).
% 104.95/105.00  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 104.95/105.00  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)).
% 104.95/105.00  0 [] c_List_Oset(c_List_Olist_ONil(T_a),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.95/105.00  0 [] hBOOL(c_in(c_List_Olist_ONil(T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))).
% 104.95/105.00  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)).
% 104.95/105.00  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).
% 104.95/105.00  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 104.95/105.00  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 104.95/105.00  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).
% 104.95/105.00  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)).
% 104.95/105.00  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).
% 104.95/105.00  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 104.95/105.00  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 104.95/105.00  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)).
% 104.95/105.00  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_A=V_A_H.
% 104.95/105.00  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_b=V_c.
% 104.95/105.00  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)).
% 104.95/105.00  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_ONonce(V_nat_H)|V_nat=V_nat_H.
% 104.95/105.00  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)).
% 104.95/105.00  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).
% 104.95/105.00  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).
% 104.95/105.00  0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OFriend(V_nat_H).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_OHPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_Y_H=V_Y.
% 104.95/105.01  0 [] c_Message_OHPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_X_H=V_X.
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Message_Omsg_ONumber(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 104.95/105.01  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_nat=V_nat_H.
% 104.95/105.01  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_msg=V_msg_H.
% 104.95/105.01  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))).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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))).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 104.95/105.01  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.
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONonce(V_nat_H).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg1=V_msg1_H.
% 104.95/105.01  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg2=V_msg2_H.
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OHash(V_msg).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  0 [] hBOOL(c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 104.95/105.01  0 [] hBOOL(c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 104.95/105.01  0 [] c_Message_Oagent_OFriend(V_nat_H)!=c_Message_Oagent_OServer.
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 104.95/105.01  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hBOOL(c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 104.95/105.01  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 104.95/105.01  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 104.95/105.01  0 [] c_lesse_quals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.01  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_ONumber(V_nat_H)|V_nat=V_nat_H.
% 104.95/105.01  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 104.95/105.01  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.95/105.01  0 [] c_Message_OHPair(V_X,V_Y)!=c_Message_Omsg_OMPair(V_X_H,V_Y_H)|V_Y_H=V_Y.
% 104.95/105.01  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).
% 104.95/105.01  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 104.95/105.01  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))).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONumber(V_nat).
% 104.95/105.01  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONumber(V_nat_H).
% 104.95/105.01  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).
% 104.95/105.01  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.
% 104.95/105.01  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.
% 104.95/105.01  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.
% 104.95/105.01  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.
% 104.95/105.01  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).
% 104.95/105.01  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_lesse_quals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.01  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OAgent(V_agent).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 104.95/105.01  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 104.95/105.01  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Message_Omsg_ONonce(V_N)!=c_Message_OHPair(V_X,V_Y).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OHash(V_Z)!=c_Message_OHPair(V_X,V_Y).
% 104.95/105.01  0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 104.95/105.01  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 104.95/105.01  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 104.95/105.01  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.
% 104.95/105.01  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.
% 104.95/105.01  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.
% 104.95/105.01  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.
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OHash(V_msg).
% 104.95/105.01  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONonce(V_nat).
% 104.95/105.01  0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 104.95/105.01  0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Message_Oagent_Oagent__case(V_f1,V_f2,V_f3,c_Message_Oagent_OServer,T_a)=V_f1.
% 104.95/105.01  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OMPair(V_msg1,V_msg2).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Event_Oevent_OGets(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 104.95/105.01  0 [] c_Message_Osynth(c_Message_Osynth(V_H))=c_Message_Osynth(V_H).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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))).
% 104.95/105.01  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 104.95/105.01  0 [] c_Message_Omsg_OMPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_Y_H=V_Y.
% 104.95/105.01  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OHash(V_msg_H).
% 104.95/105.01  0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 104.95/105.01  0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.01  0 [] c_Message_Oagent_OFriend(V_nat)!=c_Message_Oagent_OFriend(V_nat_H)|V_nat=V_nat_H.
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 104.95/105.01  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 104.95/105.01  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 104.95/105.01  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 104.95/105.01  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)).
% 104.95/105.01  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.
% 104.95/105.01  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,V_H,tc_Message_Omsg)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,V_H,tc_Message_Omsg)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)).
% 104.95/105.01  0 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OHash(V_msg_H)|V_msg=V_msg_H.
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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))).
% 104.95/105.01  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))).
% 104.95/105.01  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_ONonce(V_nat_H).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Message_OinvKey(c_Message_OinvKey(V_K))=V_K.
% 104.95/105.01  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.
% 104.95/105.01  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.
% 104.95/105.01  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.
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OGets(V_agent,V_msg).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_lesse_quals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_List_Oset(c_List_Olist_ONil(T_a),T_a).
% 104.95/105.01  0 [] c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(V_A).
% 104.95/105.01  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 104.95/105.01  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 104.95/105.01  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 104.95/105.01  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)).
% 104.95/105.01  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.
% 104.95/105.01  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.
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hAPP(c_Public_OshrK,V_A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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))).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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.
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Oanalz(c_Message_Oanalz(V_H))=c_Message_Oanalz(V_H).
% 104.95/105.01  0 [] c_Message_Oagent_Oagent__rec(V_f1,V_f2,V_f3,c_Message_Oagent_OServer,T_a)=V_f1.
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OAgent(V_A)!=c_Message_OHPair(V_X,V_Y).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OCrypt(V_K,V_X_H)!=c_Message_OHPair(V_X,V_Y).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C))!=hAPP(c_Public_OshrK,V_A).
% 104.95/105.01  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OAgent(V_agent_H)|V_agent=V_agent_H.
% 104.95/105.01  0 [] hAPP(c_Public_OpublicKey(V_c),V_A_H)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)).
% 104.95/105.01  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 104.95/105.01  0 [] c_Message_Oanalz(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_lesse_quals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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))).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  0 [] c_Message_Omsg_ONumber(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 104.95/105.01  0 [] c_Message_Omsg_OAgent(V_agent)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 104.95/105.01  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONonce(V_nat).
% 104.95/105.01  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONumber(V_nat).
% 104.95/105.01  0 [] c_Message_Omsg_OHash(V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 104.95/105.01  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 104.95/105.01  0 [] c_Message_Omsg_ONonce(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 104.95/105.01  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 104.95/105.01  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).
% 104.95/105.01  0 [] hAPP(c_Message_Omsg_OKey,V_K)!=c_Message_OHPair(V_X,V_Y).
% 104.95/105.01  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 104.95/105.01  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 104.95/105.01  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 104.95/105.01  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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.
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Oagent_Oagent__case(V_f1,V_f2,V_f3,c_Message_Oagent_OSpy,T_a)=V_f3.
% 104.95/105.01  0 [] c_Message_Oagent_OFriend(V_nat)!=c_Message_Oagent_OSpy.
% 104.95/105.01  0 [] c_Message_Oagent_Oagent__rec(V_f1,V_f2,V_f3,c_Message_Oagent_OSpy,T_a)=V_f3.
% 104.95/105.01  0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OSpy.
% 104.95/105.01  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)).
% 104.95/105.01  0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OFriend(V_nat).
% 104.95/105.01  0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 104.95/105.01  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).
% 104.95/105.01  0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Public_OpublicKey(V_b),V_C).
% 104.95/105.01  0 [] hAPP(c_Public_OpublicKey(V_b),V_C)!=hAPP(c_Public_OshrK,V_A).
% 104.95/105.01  0 [] c_Message_OinvKey(hAPP(c_Public_OshrK,V_A))=hAPP(c_Public_OshrK,V_A).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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))).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] -hBOOL(c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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).
% 104.95/105.01  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).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 104.95/105.01  0 [] -hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)).
% 104.95/105.01  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg)).
% 104.95/105.01  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 104.95/105.01  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,V_H,tc_Message_Omsg)).
% 104.95/105.01  0 [] hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)).
% 104.95/105.01  0 [] c_Message_Oparts(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H)|V_nat=V_nat_H.
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 104.95/105.01  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 104.95/105.01  0 [] hAPP(c_Public_OshrK,V_x)!=hAPP(c_Public_OshrK,V_y)|V_x=V_y.
% 104.95/105.01  0 [] hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 104.95/105.01  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)).
% 104.95/105.01  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)).
% 104.95/105.01  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 104.95/105.01  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 104.95/105.01  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 104.95/105.01  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 104.95/105.01  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 104.95/105.01  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 104.95/105.01  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 104.95/105.01  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 104.95/105.01  0 [] class_Orderings_Opreorder(tc_nat).
% 104.95/105.01  0 [] class_Orderings_Olinorder(tc_nat).
% 104.95/105.01  0 [] class_Lattices_Olattice(tc_nat).
% 104.95/105.01  0 [] class_Orderings_Oorder(tc_nat).
% 104.95/105.01  0 [] class_Orderings_Obot(tc_nat).
% 104.95/105.01  0 [] class_HOL_Oord(tc_nat).
% 104.95/105.01  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 104.95/105.01  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 104.95/105.01  0 [] class_Orderings_Opreorder(tc_bool).
% 104.95/105.01  0 [] class_Lattices_Olattice(tc_bool).
% 104.95/105.01  0 [] class_Orderings_Oorder(tc_bool).
% 104.95/105.01  0 [] class_Orderings_Obot(tc_bool).
% 104.95/105.01  0 [] class_HOL_Oord(tc_bool).
% 104.95/105.01  0 [] c_fe_qual(V_x,V_x,T_a).
% 104.95/105.01  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 104.95/105.01  end_of_list.
% 104.95/105.01  
% 104.95/105.01  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 104.95/105.01  
% 104.95/105.01  This ia a non-Horn set with equality.  The strategy will be
% 104.95/105.01  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 104.95/105.01  deletion, with positive clauses in sos and nonpositive
% 104.95/105.01  clauses in usable.
% 104.95/105.01  
% 104.95/105.01     dependent: set(knuth_bendix).
% 104.95/105.01     dependent: set(anl_eq).
% 104.95/105.01     dependent: set(para_from).
% 104.95/105.01     dependent: set(para_into).
% 104.95/105.01     dependent: clear(para_from_right).
% 104.95/105.01     dependent: clear(para_into_right).
% 104.95/105.01     dependent: set(para_from_vars).
% 104.95/105.01     dependent: set(eq_units_both_ways).
% 104.95/105.01     dependent: set(dynamic_demod_all).
% 104.95/105.01     dependent: set(dynamic_demod).
% 104.95/105.01     dependent: set(order_eq).
% 104.95/105.01     dependent: set(back_demod).
% 104.95/105.01     dependent: set(lrpo).
% 104.95/105.01     dependent: set(hyper_res).
% 104.95/105.01     dependent: set(unit_deletion).
% 104.95/105.01     dependent: set(factor).
% 104.95/105.01  
% 104.95/105.01  ------------> process usable:
% 104.95/105.01  ** KEPT (pick-wt=27): 1 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=14): 2 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=8): 3 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(A),B),c_Message_OsymKeys,tc_nat)).
% 104.95/105.01  ** KEPT (pick-wt=9): 4 [] c_Message_OinvKey(A)=A| -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat)).
% 104.95/105.01  ** KEPT (pick-wt=11): 5 [] hBOOL(c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat)).
% 104.95/105.01  ** KEPT (pick-wt=11): 6 [] hBOOL(c_in(A,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat)).
% 104.95/105.01  ** KEPT (pick-wt=18): 7 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=9): 8 [] -hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Message_OsymKeys,tc_nat)).
% 104.95/105.01  ** KEPT (pick-wt=6): 9 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONumber(C).
% 104.95/105.01  ** KEPT (pick-wt=11): 10 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 104.95/105.01  ** KEPT (pick-wt=5): 11 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONumber(B).
% 104.95/105.01  ** KEPT (pick-wt=8): 12 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 104.95/105.01  ** KEPT (pick-wt=16): 13 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=18): 14 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=18): 15 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=20): 16 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=16): 17 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=21): 18 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=16): 19 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=5): 20 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONumber(B).
% 104.95/105.01  ** KEPT (pick-wt=14): 21 [] 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)).
% 104.95/105.01  ** KEPT (pick-wt=71): 22 [] 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))).
% 104.95/105.01  ** KEPT (pick-wt=52): 23 [] 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))).
% 104.95/105.01  ** KEPT (pick-wt=65): 24 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=46): 25 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=66): 26 [] 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))).
% 104.95/105.02  ** KEPT (pick-wt=60): 27 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=47): 28 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=38): 29 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=6): 30 [] c_Message_Omsg_ONumber(A)!=c_Message_OHPair(B,C).
% 104.95/105.02  ** KEPT (pick-wt=8): 31 [] c_Message_OinvKey(A)!=c_Message_OinvKey(B)|A=B.
% 104.95/105.02  ** KEPT (pick-wt=6): 32 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.02  ** KEPT (pick-wt=6): 33 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.02  ** KEPT (pick-wt=25): 34 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=15): 35 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=15): 36 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=32): 37 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=22): 38 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=32): 39 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=8): 40 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 104.95/105.02  ** KEPT (pick-wt=10): 41 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 104.95/105.02  ** KEPT (pick-wt=6): 42 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.02  ** KEPT (pick-wt=14): 43 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 104.95/105.02  ** KEPT (pick-wt=12): 44 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat)).
% 104.95/105.02  ** KEPT (pick-wt=19): 45 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=7): 46 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 104.95/105.02  ** KEPT (pick-wt=6): 47 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 104.95/105.02  ** KEPT (pick-wt=19): 48 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=8): 49 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 104.95/105.02  ** KEPT (pick-wt=12): 50 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|B=D.
% 104.95/105.02  ** KEPT (pick-wt=12): 51 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|A=C.
% 104.95/105.02  ** KEPT (pick-wt=8): 52 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONonce(B)|A=B.
% 104.95/105.02  ** KEPT (pick-wt=56): 53 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=4): 55 [copy,54,flip.1] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OServer.
% 104.95/105.02  ** KEPT (pick-wt=13): 56 [] c_Message_OHPair(A,B)!=c_Message_Omsg_OMPair(C,D)|C=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)).
% 104.95/105.02  ** KEPT (pick-wt=22): 58 [copy,57,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)).
% 104.95/105.02  ** KEPT (pick-wt=10): 59 [] c_Message_OHPair(A,B)!=c_Message_OHPair(C,D)|B=D.
% 104.95/105.02  ** KEPT (pick-wt=10): 60 [] c_Message_OHPair(A,B)!=c_Message_OHPair(C,D)|A=C.
% 104.95/105.02  ** KEPT (pick-wt=15): 61 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=15): 62 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=6): 63 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.02  ** KEPT (pick-wt=5): 64 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OAgent(B).
% 104.95/105.02  ** KEPT (pick-wt=5): 65 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OHash(B).
% 104.95/105.02  ** KEPT (pick-wt=30): 66 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=10): 67 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|A=C.
% 104.95/105.02  ** KEPT (pick-wt=10): 68 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|B=D.
% 104.95/105.02  ** KEPT (pick-wt=17): 69 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=17): 70 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=17): 71 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=17): 72 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=20): 73 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=25): 74 [] 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))).
% 104.95/105.02  ** KEPT (pick-wt=23): 75 [] 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)).
% 104.95/105.02    Following clause subsumed by 75 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)).
% 104.95/105.02  ** KEPT (pick-wt=17): 76 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=9): 77 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 104.95/105.02  ** KEPT (pick-wt=9): 78 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 104.95/105.02    Following clause subsumed by 76 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).
% 104.95/105.02    Following clause subsumed by 76 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).
% 104.95/105.02  ** KEPT (pick-wt=9): 79 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 104.95/105.02  ** KEPT (pick-wt=9): 80 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 104.95/105.02  ** KEPT (pick-wt=8): 81 [] -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 104.95/105.02  ** KEPT (pick-wt=18): 82 [] 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.
% 104.95/105.02  ** KEPT (pick-wt=16): 83 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=5): 84 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 104.95/105.02  ** KEPT (pick-wt=10): 85 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|A=C.
% 104.95/105.02  ** KEPT (pick-wt=10): 86 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|B=D.
% 104.95/105.02  ** KEPT (pick-wt=9): 87 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 104.95/105.02  ** KEPT (pick-wt=6): 88 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 104.95/105.02  ** KEPT (pick-wt=20): 89 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=14): 90 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 104.95/105.02    Following clause subsumed by 55 during input processing: 0 [] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OServer.
% 104.95/105.02  ** KEPT (pick-wt=14): 91 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 104.95/105.02  ** KEPT (pick-wt=5): 92 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 104.95/105.02  ** KEPT (pick-wt=11): 93 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 104.95/105.02  ** KEPT (pick-wt=21): 94 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=14): 95 [] -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)).
% 104.95/105.02  ** KEPT (pick-wt=23): 96 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=7): 97 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 104.95/105.02  ** KEPT (pick-wt=8): 98 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_ONumber(B)|A=B.
% 104.95/105.02  ** KEPT (pick-wt=6): 99 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.02  ** KEPT (pick-wt=9): 100 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 104.95/105.02  ** KEPT (pick-wt=10): 101 [] c_Message_OHPair(A,B)!=c_Message_Omsg_OMPair(C,D)|D=B.
% 104.95/105.02  ** KEPT (pick-wt=14): 102 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 104.95/105.02  ** KEPT (pick-wt=6): 103 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.02  ** KEPT (pick-wt=32): 104 [] 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))).
% 104.95/105.02  ** 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)).
% 104.95/105.02  ** KEPT (pick-wt=6): 106 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONumber(C).
% 104.95/105.02  ** 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)).
% 104.95/105.02  ** 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)).
% 104.95/105.02  ** 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)).
% 104.95/105.02  ** 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)).
% 104.95/105.02  ** 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)).
% 104.95/105.02  ** KEPT (pick-wt=12): 112 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_List_Oset(B,A)|B=c_List_Olist_ONil(A).
% 104.95/105.02  ** KEPT (pick-wt=5): 113 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 104.95/105.02  ** KEPT (pick-wt=17): 114 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 104.95/105.02  ** KEPT (pick-wt=13): 115 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 104.95/105.02  ** KEPT (pick-wt=13): 116 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 104.95/105.02  ** KEPT (pick-wt=5): 117 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONumber(B).
% 104.95/105.02  ** KEPT (pick-wt=9): 118 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 104.95/105.02  ** KEPT (pick-wt=9): 119 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 104.95/105.02  ** KEPT (pick-wt=26): 120 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=19): 121 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=6): 122 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 104.95/105.02  ** KEPT (pick-wt=7): 123 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 104.95/105.02  ** KEPT (pick-wt=15): 124 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=15): 125 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=10): 126 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|B=D.
% 104.95/105.02  ** KEPT (pick-wt=10): 127 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|A=C.
% 104.95/105.02  ** KEPT (pick-wt=5): 128 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 104.95/105.02  ** KEPT (pick-wt=6): 129 [] c_Message_Omsg_ONonce(A)!=c_Message_OHPair(B,C).
% 104.95/105.02  ** KEPT (pick-wt=13): 130 [] -hBOOL(hAPP(A,c_Message_Oagent_Oagent__case(B,C,D,c_Message_Oagent_OServer,t_a)))|hBOOL(hAPP(A,B)).
% 104.95/105.02  ** KEPT (pick-wt=13): 131 [] -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)).
% 104.95/105.02  ** KEPT (pick-wt=15): 132 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 104.95/105.02    Following clause subsumed by 132 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)).
% 104.95/105.02  ** KEPT (pick-wt=13): 133 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 104.95/105.02    Following clause subsumed by 133 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 104.95/105.02    Following clause subsumed by 133 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 104.95/105.02  ** KEPT (pick-wt=7): 134 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 104.95/105.02    Following clause subsumed by 58 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)).
% 104.95/105.02  ** KEPT (pick-wt=25): 136 [copy,135,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)).
% 104.95/105.02  ** KEPT (pick-wt=12): 137 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 104.95/105.02  ** KEPT (pick-wt=12): 138 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 104.95/105.02  ** KEPT (pick-wt=12): 139 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 104.95/105.02  ** KEPT (pick-wt=14): 140 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 104.95/105.02  ** KEPT (pick-wt=14): 141 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 104.95/105.02  ** KEPT (pick-wt=14): 142 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 104.95/105.02  ** KEPT (pick-wt=6): 143 [] c_Message_Omsg_OHash(A)!=c_Message_OHPair(B,C).
% 104.95/105.02  ** KEPT (pick-wt=7): 144 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 104.95/105.02  ** KEPT (pick-wt=10): 145 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|B=D.
% 104.95/105.02  ** KEPT (pick-wt=10): 146 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|A=C.
% 104.95/105.02  ** KEPT (pick-wt=27): 147 [] 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.
% 104.95/105.02  ** KEPT (pick-wt=27): 148 [] 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.
% 104.95/105.02  ** KEPT (pick-wt=27): 149 [] 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.
% 104.95/105.02  ** KEPT (pick-wt=27): 150 [] 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.
% 104.95/105.02  ** KEPT (pick-wt=15): 151 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=15): 152 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=6): 153 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 104.95/105.02  ** KEPT (pick-wt=9): 154 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 104.95/105.02  ** KEPT (pick-wt=14): 155 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=21): 156 [] 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)).
% 104.95/105.02    Following clause subsumed by 35 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)).
% 104.95/105.02  ** KEPT (pick-wt=20): 157 [] 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)).
% 104.95/105.02    Following clause subsumed by 35 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)).
% 104.95/105.02    Following clause subsumed by 157 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)).
% 104.95/105.02  ** KEPT (pick-wt=17): 158 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=6): 159 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 104.95/105.02  ** KEPT (pick-wt=7): 160 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 104.95/105.02    Following clause subsumed by 160 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 104.95/105.02  ** KEPT (pick-wt=17): 161 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=17): 162 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=13): 163 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=13): 164 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=7): 165 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 104.95/105.02  ** KEPT (pick-wt=13): 166 [] c_Message_Omsg_OMPair(A,B)!=c_Message_OHPair(C,D)|A=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(C,D)).
% 104.95/105.02  ** KEPT (pick-wt=30): 167 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=56): 168 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=11): 169 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 104.95/105.02  ** KEPT (pick-wt=11): 170 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 104.95/105.02  ** KEPT (pick-wt=32): 171 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=32): 172 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=33): 173 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=33): 174 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=14): 175 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=14): 176 [] -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).
% 104.95/105.02  ** KEPT (pick-wt=8): 177 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 104.95/105.02  ** KEPT (pick-wt=21): 178 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=62): 179 [] 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))).
% 104.95/105.02  ** KEPT (pick-wt=6): 180 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.02  ** KEPT (pick-wt=10): 181 [] c_Message_Omsg_OMPair(A,B)!=c_Message_OHPair(C,D)|B=D.
% 104.95/105.02  ** KEPT (pick-wt=5): 182 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 104.95/105.02  ** KEPT (pick-wt=6): 183 [] c_List_Olist_OCons(A,B,C)!=B.
% 104.95/105.02    Following clause subsumed by 183 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 104.95/105.02  ** KEPT (pick-wt=15): 184 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=13): 185 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=13): 186 [] 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)).
% 104.95/105.02    Following clause subsumed by 186 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)).
% 104.95/105.02  ** KEPT (pick-wt=16): 187 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=8): 188 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 104.95/105.02  ** KEPT (pick-wt=17): 189 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=12): 190 [] -hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat),tc_nat)).
% 104.95/105.02    Following clause subsumed by 158 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)).
% 104.95/105.02    Following clause subsumed by 158 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)).
% 104.95/105.02  ** KEPT (pick-wt=8): 191 [] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OFriend(B)|A=B.
% 104.95/105.02  ** KEPT (pick-wt=16): 192 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 104.95/105.02  ** KEPT (pick-wt=18): 193 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=26): 194 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=28): 195 [] 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)).
% 104.95/105.02  ** KEPT (pick-wt=13): 196 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 104.95/105.02    Following clause subsumed by 196 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 104.95/105.02  ** KEPT (pick-wt=16): 197 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 104.95/105.02    Following clause subsumed by 197 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)).
% 104.95/105.02    Following clause subsumed by 197 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)).
% 104.95/105.02    Following clause subsumed by 197 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)).
% 104.95/105.02  ** KEPT (pick-wt=15): 198 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 104.95/105.02  ** KEPT (pick-wt=15): 199 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 104.95/105.02  ** KEPT (pick-wt=8): 200 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 104.95/105.02    Following clause subsumed by 200 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 104.95/105.02    Following clause subsumed by 200 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 104.95/105.02    Following clause subsumed by 200 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 104.95/105.02  ** KEPT (pick-wt=16): 201 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 104.95/105.02  ** KEPT (pick-wt=20): 202 [] 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)).
% 104.95/105.02    Following clause subsumed by 200 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 104.95/105.02  ** KEPT (pick-wt=22): 203 [] 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.
% 104.95/105.02  ** KEPT (pick-wt=11): 204 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 104.95/105.02  ** KEPT (pick-wt=16): 205 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 104.95/105.02    Following clause subsumed by 205 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 104.95/105.02    Following clause subsumed by 205 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 104.95/105.03    Following clause subsumed by 205 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 104.95/105.03  ** KEPT (pick-wt=11): 206 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_Message_Omsg)).
% 104.95/105.03  ** KEPT (pick-wt=13): 207 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=11): 208 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_Message_Omsg)).
% 104.95/105.03  ** KEPT (pick-wt=13): 209 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=8): 210 [] -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Message_Oparts(c_Event_OinitState(B)),tc_Message_Omsg)).
% 104.95/105.03  ** KEPT (pick-wt=9): 211 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg)).
% 104.95/105.03  ** KEPT (pick-wt=26): 212 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=23): 213 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=8): 214 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OHash(B)|A=B.
% 104.95/105.03  ** KEPT (pick-wt=20): 215 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=28): 216 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=16): 217 [] -hBOOL(hAPP(A,c_Message_Oagent_Oagent__case(B,C,D,c_Message_Oagent_OFriend(E),t_a)))|hBOOL(hAPP(A,hAPP(C,E))).
% 104.95/105.03    Following clause subsumed by 217 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))).
% 104.95/105.03  ** KEPT (pick-wt=5): 218 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_ONonce(B).
% 104.95/105.03  ** KEPT (pick-wt=20): 219 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=20): 220 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=12): 221 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|C=F.
% 104.95/105.03  ** KEPT (pick-wt=12): 222 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|B=E.
% 104.95/105.03  ** KEPT (pick-wt=12): 223 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|A=D.
% 104.95/105.03  ** KEPT (pick-wt=7): 224 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 104.95/105.03  ** KEPT (pick-wt=19): 225 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=21): 226 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=6): 227 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 104.95/105.03  ** KEPT (pick-wt=13): 228 [] -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).
% 104.95/105.03  ** KEPT (pick-wt=13): 229 [] -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).
% 104.95/105.03  ** KEPT (pick-wt=13): 230 [] -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).
% 104.95/105.03  ** KEPT (pick-wt=13): 231 [] -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).
% 104.95/105.03    Following clause subsumed by 228 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).
% 104.95/105.03    Following clause subsumed by 229 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).
% 104.95/105.03  ** KEPT (pick-wt=17): 232 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=17): 233 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 234 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 104.95/105.03  ** KEPT (pick-wt=14): 235 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 104.95/105.03  ** KEPT (pick-wt=18): 236 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 237 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 104.95/105.03  ** KEPT (pick-wt=6): 238 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 104.95/105.03  ** KEPT (pick-wt=6): 239 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 104.95/105.03    Following clause subsumed by 237 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 104.95/105.03  ** KEPT (pick-wt=12): 240 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 104.95/105.03  ** KEPT (pick-wt=12): 241 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 104.95/105.03  ** KEPT (pick-wt=14): 242 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 243 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=16): 244 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 245 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=9): 246 [] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 104.95/105.03  ** KEPT (pick-wt=25): 247 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=62): 248 [] 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))).
% 104.95/105.03  ** KEPT (pick-wt=16): 249 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=26): 250 [] 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)).
% 104.95/105.03    Following clause subsumed by 208 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)).
% 104.95/105.03  ** KEPT (pick-wt=22): 251 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=27): 252 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 253 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 254 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=16): 255 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=16): 256 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=6): 257 [] c_Message_Omsg_OAgent(A)!=c_Message_OHPair(B,C).
% 104.95/105.03  ** KEPT (pick-wt=17): 258 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=7): 259 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_OHPair(C,D).
% 104.95/105.03  ** KEPT (pick-wt=20): 260 [] 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)).
% 104.95/105.03    Following clause subsumed by 260 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)).
% 104.95/105.03  ** KEPT (pick-wt=18): 261 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=12): 262 [] c_List_Oset(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_List_Olist_ONil(B).
% 104.95/105.03  ** KEPT (pick-wt=9): 263 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 104.95/105.03  ** KEPT (pick-wt=6): 264 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.03  ** KEPT (pick-wt=5): 265 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 104.95/105.03    Following clause subsumed by 158 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)).
% 104.95/105.03  ** KEPT (pick-wt=13): 266 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=34): 267 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=29): 268 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=8): 269 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OAgent(B)|A=B.
% 104.95/105.03  ** KEPT (pick-wt=10): 270 [] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 104.95/105.03  ** KEPT (pick-wt=10): 271 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 104.95/105.03  ** KEPT (pick-wt=13): 272 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 273 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=15): 274 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=15): 275 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=11): 276 [] -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)).
% 104.95/105.03    Following clause subsumed by 205 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)).
% 104.95/105.03  ** KEPT (pick-wt=16): 277 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=10): 278 [] -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 104.95/105.03    Following clause subsumed by 208 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)).
% 104.95/105.03  ** KEPT (pick-wt=22): 279 [] 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)).
% 104.95/105.03    Following clause subsumed by 279 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)).
% 104.95/105.03  ** KEPT (pick-wt=21): 280 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=10): 281 [] -hBOOL(c_in(c_Message_Omsg_OHash(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 104.95/105.03  ** KEPT (pick-wt=20): 282 [] 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))).
% 104.95/105.03  ** KEPT (pick-wt=16): 283 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=6): 284 [] c_Message_Omsg_ONumber(A)!=hAPP(c_Message_Omsg_OKey,B).
% 104.95/105.03  ** KEPT (pick-wt=6): 285 [] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 104.95/105.03  ** KEPT (pick-wt=6): 286 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 287 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONumber(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 288 [] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 104.95/105.03  ** KEPT (pick-wt=7): 289 [] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 104.95/105.03  ** KEPT (pick-wt=6): 290 [] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 104.95/105.03  ** KEPT (pick-wt=6): 291 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 104.95/105.03  ** KEPT (pick-wt=7): 292 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_OHPair(B,C).
% 104.95/105.03  ** KEPT (pick-wt=7): 293 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.03  ** KEPT (pick-wt=7): 294 [] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 104.95/105.03  ** KEPT (pick-wt=6): 295 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 104.95/105.03  ** KEPT (pick-wt=7): 296 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.03  ** KEPT (pick-wt=17): 297 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=21): 298 [] -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)).
% 104.95/105.03  ** KEPT (pick-wt=19): 299 [] 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.
% 104.95/105.03  ** KEPT (pick-wt=21): 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_OGets(C,D),B,tc_Event_Oevent))),tc_Message_Omsg)).
% 104.95/105.03  ** KEPT (pick-wt=22): 301 [] -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)).
% 104.95/105.03  ** KEPT (pick-wt=4): 302 [] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OSpy.
% 104.95/105.03  ** KEPT (pick-wt=3): 304 [copy,303,flip.1] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 104.95/105.03  ** KEPT (pick-wt=13): 305 [] -hBOOL(hAPP(A,c_Message_Oagent_Oagent__case(B,C,D,c_Message_Oagent_OSpy,t_a)))|hBOOL(hAPP(A,D)).
% 104.95/105.03    Following clause subsumed by 302 during input processing: 0 [flip.1] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OSpy.
% 104.95/105.03    Following clause subsumed by 304 during input processing: 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 104.95/105.03  ** KEPT (pick-wt=8): 306 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 104.95/105.03  ** KEPT (pick-wt=8): 307 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 104.95/105.03    Following clause subsumed by 205 during input processing: 0 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=16): 308 [] 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)).
% 104.95/105.03  ** 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)).
% 104.95/105.03  ** KEPT (pick-wt=27): 310 [] 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))).
% 104.95/105.03  ** KEPT (pick-wt=26): 311 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=20): 312 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=21): 313 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=15): 314 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=13): 315 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 316 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 317 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 318 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=19): 319 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 320 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=23): 321 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=9): 322 [] -hBOOL(c_in(A,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 104.95/105.03  ** KEPT (pick-wt=12): 323 [] -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg)).
% 104.95/105.03    Following clause subsumed by 323 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)).
% 104.95/105.03    Following clause subsumed by 323 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)).
% 104.95/105.03    Following clause subsumed by 208 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)).
% 104.95/105.03  ** KEPT (pick-wt=15): 324 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=5): 325 [] -hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)).
% 104.95/105.03  ** KEPT (pick-wt=18): 326 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=25): 327 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=14): 328 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=11): 329 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_Message_Omsg)).
% 104.95/105.03  ** KEPT (pick-wt=13): 330 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=10): 331 [] hAPP(c_Message_Omsg_OKey,A)!=hAPP(c_Message_Omsg_OKey,B)|A=B.
% 104.95/105.03  ** KEPT (pick-wt=16): 332 [] 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)).
% 104.95/105.03  ** KEPT (pick-wt=9): 333 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 104.95/105.03  ** KEPT (pick-wt=9): 334 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 104.95/105.03  ** KEPT (pick-wt=10): 335 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OshrK,B)|A=B.
% 104.95/105.03  ** KEPT (pick-wt=17): 336 [] -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)).
% 104.95/105.03  ** KEPT (pick-wt=6): 337 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 338 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 339 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 340 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 341 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 342 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 343 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 104.95/105.03  ** KEPT (pick-wt=7): 344 [] A=B| -c_fe_qual(A,B,C).
% 104.95/105.03    Following clause subsumed by 264 during input processing: 0 [copy,9,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.03    Following clause subsumed by 218 during input processing: 0 [copy,11,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_ONonce(B).
% 104.95/105.03    Following clause subsumed by 177 during input processing: 0 [copy,12,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 104.95/105.03    Following clause subsumed by 65 during input processing: 0 [copy,20,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OHash(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 345 [copy,30,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_ONumber(C).
% 104.95/105.03    Following clause subsumed by 47 during input processing: 0 [copy,32,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 104.95/105.03    Following clause subsumed by 159 during input processing: 0 [copy,33,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 104.95/105.03    Following clause subsumed by 188 during input processing: 0 [copy,40,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 104.95/105.03    Following clause subsumed by 270 during input processing: 0 [copy,41,flip.1] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 104.95/105.03    Following clause subsumed by 88 during input processing: 0 [copy,42,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 104.95/105.03    Following clause subsumed by 165 during input processing: 0 [copy,46,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 104.95/105.03    Following clause subsumed by 32 during input processing: 0 [copy,47,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.03    Following clause subsumed by 227 during input processing: 0 [copy,63,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 104.95/105.03    Following clause subsumed by 117 during input processing: 0 [copy,64,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONumber(B).
% 104.95/105.03    Following clause subsumed by 20 during input processing: 0 [copy,65,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONumber(B).
% 104.95/105.03    Following clause subsumed by 113 during input processing: 0 [copy,84,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 104.95/105.03    Following clause subsumed by 42 during input processing: 0 [copy,88,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.03    Following clause subsumed by 265 during input processing: 0 [copy,92,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 104.95/105.03    Following clause subsumed by 153 during input processing: 0 [copy,99,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 104.95/105.03    Following clause subsumed by 154 during input processing: 0 [copy,100,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 104.95/105.03  100 back subsumes 90.
% 104.95/105.03    Following clause subsumed by 122 during input processing: 0 [copy,103,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 104.95/105.03    Following clause subsumed by 180 during input processing: 0 [copy,106,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.03    Following clause subsumed by 84 during input processing: 0 [copy,113,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 104.95/105.03    Following clause subsumed by 64 during input processing: 0 [copy,117,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OAgent(B).
% 104.95/105.03    Following clause subsumed by 103 during input processing: 0 [copy,122,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.03    Following clause subsumed by 182 during input processing: 0 [copy,128,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 104.95/105.03  ** KEPT (pick-wt=6): 352 [copy,129,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_ONonce(C).
% 104.95/105.03    Following clause subsumed by 224 during input processing: 0 [copy,134,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 104.95/105.03  ** KEPT (pick-wt=6): 355 [copy,143,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_OHash(C).
% 104.95/105.03    Following clause subsumed by 160 during input processing: 0 [copy,144,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 104.95/105.03    Following clause subsumed by 99 during input processing: 0 [copy,153,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.03    Following clause subsumed by 100 during input processing: 0 [copy,154,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 104.95/105.03  158 back subsumes 136.
% 104.95/105.03    Following clause subsumed by 33 during input processing: 0 [copy,159,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.03    Following clause subsumed by 144 during input processing: 0 [copy,160,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 104.95/105.03    Following clause subsumed by 46 during input processing: 0 [copy,165,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 104.95/105.03    Following clause subsumed by 12 during input processing: 0 [copy,177,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 104.95/105.03    Following clause subsumed by 106 during input processing: 0 [copy,180,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONumber(C).
% 104.95/105.03    Following clause subsumed by 128 during input processing: 0 [copy,182,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 104.95/105.03  184 back subsumes 171.
% 104.95/105.03    Following clause subsumed by 40 during input processing: 0 [copy,188,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 104.95/105.03  205 back subsumes 15.
% 104.95/105.03  208 back subsumes 185.
% 104.95/105.03  215 back subsumes 96.
% 104.95/105.03    Following clause subsumed by 11 during input processing: 0 [copy,218,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONumber(B).
% 104.95/105.03    Following clause subsumed by 134 during input processing: 0 [copy,224,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 104.95/105.03    Following clause subsumed by 63 during input processing: 0 [copy,227,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.03    Following clause subsumed by 263 during input processing: 0 [copy,246,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 104.95/105.03  ** KEPT (pick-wt=6): 365 [copy,257,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_OAgent(C).
% 104.95/105.03  ** KEPT (pick-wt=7): 366 [copy,259,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 104.95/105.03    Following clause subsumed by 246 during input processing: 0 [copy,263,flip.1] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 104.95/105.03    Following clause subsumed by 9 during input processing: 0 [copy,264,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONumber(C).
% 104.95/105.03    Following clause subsumed by 92 during input processing: 0 [copy,265,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 104.95/105.03    Following clause subsumed by 41 during input processing: 0 [copy,270,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 104.95/105.03  280 back subsumes 173.
% 104.95/105.03    Following clause subsumed by 287 during input processing: 0 [copy,284,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONumber(B).
% 104.95/105.03    Following clause subsumed by 291 during input processing: 0 [copy,285,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 104.95/105.03    Following clause subsumed by 290 during input processing: 0 [copy,286,flip.1] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 104.95/105.03    Following clause subsumed by 284 during input processing: 0 [copy,287,flip.1] c_Message_Omsg_ONumber(A)!=hAPP(c_Message_Omsg_OKey,B).
% 104.95/105.03    Following clause subsumed by 295 during input processing: 0 [copy,288,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 104.95/105.03    Following clause subsumed by 296 during input processing: 0 [copy,289,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 104.95/105.04    Following clause subsumed by 286 during input processing: 0 [copy,290,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 104.95/105.04    Following clause subsumed by 285 during input processing: 0 [copy,291,flip.1] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 104.95/105.04  ** KEPT (pick-wt=7): 369 [copy,292,flip.1] c_Message_OHPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 104.95/105.04    Following clause subsumed by 294 during input processing: 0 [copy,293,flip.1] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 104.95/105.04    Following clause subsumed by 293 during input processing: 0 [copy,294,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 104.95/105.04    Following clause subsumed by 288 during input processing: 0 [copy,295,flip.1] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 104.95/105.04    Following clause subsumed by 289 during input processing: 0 [copy,296,flip.1] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 104.95/105.04    Following clause subsumed by 307 during input processing: 0 [copy,306,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 104.95/105.04    Following clause subsumed by 306 during input processing: 0 [copy,307,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 104.95/105.04    Following clause subsumed by 30 during input processing: 0 [copy,345,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_OHPair(B,C).
% 104.95/105.04    Following clause subsumed by 129 during input processing: 0 [copy,352,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_OHPair(B,C).
% 104.95/105.04    Following clause subsumed by 143 during input processing: 0 [copy,355,flip.1] c_Message_Omsg_OHash(A)!=c_Message_OHPair(B,C).
% 104.95/105.04  363 back subsumes 349.
% 104.95/105.04    Following clause subsumed by 257 during input processing: 0 [copy,365,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_OHPair(B,C).
% 104.95/105.04    Following clause subsumed by 259 during input processing: 0 [copy,366,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_OHPair(C,D).
% 104.95/105.04    Following clause subsumed by 292 during input processing: 0 [copy,369,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_OHPair(B,C).
% 104.95/105.04  
% 104.95/105.04  ------------> process sos:
% 104.95/105.04  ** KEPT (pick-wt=3): 371 [] A=A.
% 104.95/105.04  ** KEPT (pick-wt=22): 372 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=10): 373 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 104.95/105.04  ---> New Demodulator: 374 [new_demod,373] c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 104.95/105.04  ** KEPT (pick-wt=7): 375 [] hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Message_OsymKeys,tc_nat)).
% 104.95/105.04  ** KEPT (pick-wt=9): 376 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ---> New Demodulator: 377 [new_demod,376] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ** KEPT (pick-wt=9): 378 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ---> New Demodulator: 379 [new_demod,378] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ** KEPT (pick-wt=9): 380 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ---> New Demodulator: 381 [new_demod,380] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ** KEPT (pick-wt=9): 382 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ---> New Demodulator: 383 [new_demod,382] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ** KEPT (pick-wt=10): 384 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ---> New Demodulator: 385 [new_demod,384] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 104.95/105.04  ** KEPT (pick-wt=10): 386 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 104.95/105.04  ---> New Demodulator: 387 [new_demod,386] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 104.95/105.04  ** KEPT (pick-wt=9): 388 [] c_lesse_quals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=19): 390 [copy,389,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)).
% 104.95/105.04  ---> New Demodulator: 391 [new_demod,390] 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)).
% 104.95/105.04  ** KEPT (pick-wt=19): 393 [copy,392,demod,391] 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)).
% 104.95/105.04  ** KEPT (pick-wt=9): 395 [copy,394,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 104.95/105.04  ---> New Demodulator: 396 [new_demod,395] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 104.95/105.04  ** KEPT (pick-wt=9): 397 [] hBOOL(c_in(c_List_Olist_ONil(A),c_List_Olists(B,A),tc_List_Olist(A))).
% 104.95/105.04  ** KEPT (pick-wt=21): 398 [] 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).
% 104.95/105.04  ** KEPT (pick-wt=13): 399 [] 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).
% 104.95/105.04  ---> New Demodulator: 400 [new_demod,399] 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).
% 104.95/105.04  ** KEPT (pick-wt=8): 401 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 104.95/105.04  ---> New Demodulator: 402 [new_demod,401] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 104.95/105.04  ** KEPT (pick-wt=19): 403 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=12): 404 [] 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)).
% 104.95/105.04  ---> New Demodulator: 405 [new_demod,404] 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)).
% 104.95/105.04  ** KEPT (pick-wt=15): 406 [] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_ONumber(H),I)=hAPP(B,H).
% 104.95/105.04  ** KEPT (pick-wt=23): 407 [] 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).
% 104.95/105.04  ** KEPT (pick-wt=24): 408 [] 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).
% 104.95/105.04  ** KEPT (pick-wt=15): 409 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 104.95/105.04  ** KEPT (pick-wt=19): 410 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=15): 411 [] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_ONonce(H),I)=hAPP(C,H).
% 104.95/105.04  ** KEPT (pick-wt=23): 413 [copy,412,demod,396] 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)).
% 104.95/105.04  ** KEPT (pick-wt=35): 415 [copy,414,demod,396,396] 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)).
% 104.95/105.04  ** KEPT (pick-wt=15): 416 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_ONonce(H),I)=hAPP(C,H).
% 104.95/105.04    Following clause subsumed by 409 during input processing: 0 [demod,396,396] 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).
% 104.95/105.04  ** KEPT (pick-wt=16): 417 [] 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))).
% 104.95/105.04  ---> New Demodulator: 418 [new_demod,417] 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))).
% 104.95/105.04  ** KEPT (pick-wt=13): 420 [copy,419,demod,396,396] c_Set_Oimage(A,c_List_Oset(c_List_Olist_ONil(B),B),B,C)=c_List_Oset(c_List_Olist_ONil(C),C).
% 104.95/105.04  ** KEPT (pick-wt=12): 421 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_OinitState(B),tc_Message_Omsg)).
% 104.95/105.04  ** KEPT (pick-wt=23): 422 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=23): 423 [] 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)).
% 104.95/105.04  ---> New Demodulator: 424 [new_demod,423] 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)).
% 104.95/105.04    Following clause subsumed by 371 during input processing: 0 [demod,424] 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)).
% 104.95/105.04  ** KEPT (pick-wt=11): 425 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=11): 426 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 104.95/105.04    Following clause subsumed by 409 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).
% 104.95/105.04  ** KEPT (pick-wt=18): 427 [] 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).
% 104.95/105.04  ---> New Demodulator: 428 [new_demod,427] 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).
% 104.95/105.04    Following clause subsumed by 409 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).
% 104.95/105.04  ** KEPT (pick-wt=10): 430 [copy,429,flip.1] c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),B)=c_Message_OHPair(A,B).
% 104.95/105.04  ---> New Demodulator: 431 [new_demod,430] c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),B)=c_Message_OHPair(A,B).
% 104.95/105.04    Following clause subsumed by 371 during input processing: 0 [demod,431] c_Message_OHPair(A,B)=c_Message_OHPair(A,B).
% 104.95/105.04  ** KEPT (pick-wt=15): 432 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=15): 433 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_ONumber(H),I)=hAPP(B,H).
% 104.95/105.04  ** KEPT (pick-wt=7): 434 [] hBOOL(c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 104.95/105.04    Following clause subsumed by 434 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 104.95/105.04  ** KEPT (pick-wt=13): 435 [] 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).
% 104.95/105.04  ---> New Demodulator: 436 [new_demod,435] 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).
% 104.95/105.04  ** KEPT (pick-wt=7): 437 [] hBOOL(c_in(c_Message_Omsg_ONumber(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 104.95/105.04  ** KEPT (pick-wt=9): 439 [copy,438,demod,396] c_lesse_quals(c_List_Oset(c_List_Olist_ONil(A),A),B,tc_fun(A,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=9): 440 [] c_lesse_quals(c_Event_OinitState(A),c_Event_Oknows(A,B),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=12): 441 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 104.95/105.04  ---> New Demodulator: 442 [new_demod,441] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 104.95/105.04  ** KEPT (pick-wt=19): 443 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=22): 444 [] 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)).
% 104.95/105.04  ---> New Demodulator: 445 [new_demod,444] 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)).
% 104.95/105.04  ** KEPT (pick-wt=24): 446 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=13): 447 [] 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).
% 104.95/105.04  ---> New Demodulator: 448 [new_demod,447] 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).
% 104.95/105.04  ** KEPT (pick-wt=9): 449 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=22): 451 [copy,450,demod,396] 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)).
% 104.95/105.04    Following clause subsumed by 409 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).
% 104.95/105.04  ** KEPT (pick-wt=14): 452 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=21): 453 [] 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).
% 104.95/105.04  ---> New Demodulator: 454 [new_demod,453] 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).
% 104.95/105.04  ** KEPT (pick-wt=13): 455 [] 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).
% 104.95/105.04  ---> New Demodulator: 456 [new_demod,455] 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).
% 104.95/105.04    Following clause subsumed by 409 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).
% 104.95/105.04  ** KEPT (pick-wt=24): 457 [] 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).
% 104.95/105.04  ---> New Demodulator: 458 [new_demod,457] 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).
% 104.95/105.04  ** KEPT (pick-wt=15): 459 [] 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).
% 104.95/105.04  ---> New Demodulator: 460 [new_demod,459] 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).
% 104.95/105.04  ** KEPT (pick-wt=11): 462 [copy,461,demod,396] c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(c_List_Olist_ONil(A),A),B,tc_fun(A,tc_bool))=B.
% 104.95/105.04  ---> New Demodulator: 463 [new_demod,462] c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(c_List_Olist_ONil(A),A),B,tc_fun(A,tc_bool))=B.
% 104.95/105.04  ** KEPT (pick-wt=11): 465 [copy,464,demod,396] c_Lattices_Oupper__semilattice__class_Osup(A,c_List_Oset(c_List_Olist_ONil(B),B),tc_fun(B,tc_bool))=A.
% 104.95/105.04  ---> New Demodulator: 466 [new_demod,465] c_Lattices_Oupper__semilattice__class_Osup(A,c_List_Oset(c_List_Olist_ONil(B),B),tc_fun(B,tc_bool))=A.
% 104.95/105.04    Following clause subsumed by 409 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).
% 104.95/105.04  ** KEPT (pick-wt=4): 467 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))).
% 104.95/105.04  ** KEPT (pick-wt=12): 468 [] 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).
% 104.95/105.04  ---> New Demodulator: 469 [new_demod,468] 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).
% 104.95/105.04  ** KEPT (pick-wt=7): 470 [] c_lesse_quals(A,c_Message_Oanalz(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=19): 471 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=18): 472 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=24): 474 [copy,473,demod,396] 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)).
% 104.95/105.04  ** KEPT (pick-wt=13): 475 [] 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).
% 104.95/105.04  ---> New Demodulator: 476 [new_demod,475] 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).
% 104.95/105.04  ** KEPT (pick-wt=26): 477 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=16): 478 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=14): 479 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=14): 481 [copy,480,demod,396,396] 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).
% 104.95/105.04  ---> New Demodulator: 482 [new_demod,481] 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).
% 104.95/105.04  ** KEPT (pick-wt=40): 484 [copy,483,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).
% 104.95/105.04  ---> New Demodulator: 485 [new_demod,484] 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).
% 104.95/105.04  ** KEPT (pick-wt=16): 486 [] 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).
% 104.95/105.04  ---> New Demodulator: 487 [new_demod,486] 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).
% 104.95/105.04    Following clause subsumed by 409 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).
% 104.95/105.04    Following clause subsumed by 439 during input processing: 0 [demod,396,396] 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)).
% 104.95/105.04  ** KEPT (pick-wt=13): 488 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=8): 489 [] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OServer,D)=A.
% 104.95/105.04  ---> New Demodulator: 490 [new_demod,489] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OServer,D)=A.
% 104.95/105.04  ** KEPT (pick-wt=13): 491 [] 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).
% 104.95/105.04  ---> New Demodulator: 492 [new_demod,491] 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).
% 104.95/105.04  ** KEPT (pick-wt=21): 493 [] 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).
% 104.95/105.04  ---> New Demodulator: 494 [new_demod,493] 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).
% 104.95/105.04  ** KEPT (pick-wt=13): 495 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=17): 497 [copy,496,demod,396] 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)).
% 104.95/105.04  ** KEPT (pick-wt=18): 498 [] 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)).
% 104.95/105.04  ---> New Demodulator: 499 [new_demod,498] 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)).
% 104.95/105.04  ** KEPT (pick-wt=18): 500 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OCrypt(H,I),J)=hAPP(hAPP(G,H),I).
% 104.95/105.04  ** KEPT (pick-wt=6): 501 [] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 104.95/105.04  ---> New Demodulator: 502 [new_demod,501] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 104.95/105.04    Following clause subsumed by 371 during input processing: 0 [demod,431] c_Message_OHPair(A,B)=c_Message_OHPair(A,B).
% 104.95/105.04  ** KEPT (pick-wt=12): 503 [] 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)).
% 104.95/105.04  ---> New Demodulator: 504 [new_demod,503] 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)).
% 104.95/105.04  ** KEPT (pick-wt=13): 506 [copy,505,demod,396,396] c_List_Oset(c_List_Olist_ONil(A),A)=c_Set_Oimage(B,c_List_Oset(c_List_Olist_ONil(C),C),C,A).
% 104.95/105.04  ** KEPT (pick-wt=11): 507 [] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OFriend(D),E)=hAPP(B,D).
% 104.95/105.04  ** KEPT (pick-wt=13): 508 [] 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).
% 104.95/105.04  ---> New Demodulator: 509 [new_demod,508] 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).
% 104.95/105.04  ** KEPT (pick-wt=19): 510 [] 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).
% 104.95/105.04  ---> New Demodulator: 511 [new_demod,510] 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).
% 104.95/105.04    Following clause subsumed by 488 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)).
% 104.95/105.04    Following clause subsumed by 409 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).
% 104.95/105.04  ** KEPT (pick-wt=12): 512 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_Oused(C),tc_Message_Omsg)).
% 104.95/105.04  ** KEPT (pick-wt=8): 513 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=18): 514 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OMPair(H,I),J)=hAPP(hAPP(F,H),I).
% 104.95/105.04  ** KEPT (pick-wt=8): 515 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 104.95/105.04    Following clause subsumed by 515 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 104.95/105.04    Following clause subsumed by 515 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 104.95/105.04  ** KEPT (pick-wt=13): 516 [] c_lesse_quals(c_List_Oset(A,B),c_List_Oset(c_List_Olist_OCons(C,A,B),B),tc_fun(B,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=29): 518 [copy,517,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).
% 104.95/105.04  ---> New Demodulator: 519 [new_demod,518] 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).
% 104.95/105.04  ** KEPT (pick-wt=25): 520 [] 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).
% 104.95/105.04    Following clause subsumed by 371 during input processing: 0 [demod,511] c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 104.95/105.04    Following clause subsumed by 488 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)).
% 104.95/105.04  ** KEPT (pick-wt=10): 522 [copy,521,demod,396,396] 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).
% 104.95/105.04  ---> New Demodulator: 523 [new_demod,522] 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).
% 104.95/105.04  ** KEPT (pick-wt=15): 524 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OAgent(H),I)=hAPP(A,H).
% 104.95/105.04  ** KEPT (pick-wt=7): 525 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 104.95/105.04  ** KEPT (pick-wt=15): 526 [] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_OAgent(H),I)=hAPP(A,H).
% 104.95/105.04  ** KEPT (pick-wt=11): 527 [] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OFriend(D),E)=hAPP(B,D).
% 104.95/105.04  ** KEPT (pick-wt=5): 528 [] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 104.95/105.04  ---> New Demodulator: 529 [new_demod,528] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 104.95/105.04  ** KEPT (pick-wt=21): 530 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=13): 531 [] 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).
% 104.95/105.04  ---> New Demodulator: 532 [new_demod,531] 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).
% 104.95/105.04  ** KEPT (pick-wt=16): 533 [] 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).
% 104.95/105.04  ---> New Demodulator: 534 [new_demod,533] 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).
% 104.95/105.04  ** KEPT (pick-wt=7): 535 [] c_lesse_quals(A,c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=15): 536 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OHash(H),I)=hAPP(E,H).
% 104.95/105.04    Following clause subsumed by 371 during input processing: 0 [demod,396] c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 104.95/105.04  ** KEPT (pick-wt=7): 537 [] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 104.95/105.04  ** KEPT (pick-wt=6): 538 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 104.95/105.04    Following clause subsumed by 538 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 104.95/105.04    Following clause subsumed by 488 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)).
% 104.95/105.04    Following clause subsumed by 488 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)).
% 104.95/105.04  ** KEPT (pick-wt=20): 540 [copy,539,demod,396] 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)).
% 104.95/105.04    Following clause subsumed by 515 during input processing: 0 [demod,396] hBOOL(c_in(A,c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(B),B),B),B)).
% 104.95/105.04  ** KEPT (pick-wt=18): 541 [] 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.
% 104.95/105.04    Following clause subsumed by 409 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).
% 104.95/105.04  ** KEPT (pick-wt=6): 542 [] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 104.95/105.04  ---> New Demodulator: 543 [new_demod,542] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 104.95/105.04  ** KEPT (pick-wt=8): 544 [] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OServer,D)=A.
% 104.95/105.04  ---> New Demodulator: 545 [new_demod,544] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OServer,D)=A.
% 104.95/105.04  ** KEPT (pick-wt=13): 546 [] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 104.95/105.04  ---> New Demodulator: 547 [new_demod,546] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 104.95/105.04  ** KEPT (pick-wt=10): 548 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 104.95/105.04  ---> New Demodulator: 549 [new_demod,548] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 104.95/105.04    Following clause subsumed by 371 during input processing: 0 [demod,396,396,402,396] c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 104.95/105.04  ** KEPT (pick-wt=25): 550 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=14): 551 [] 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)).
% 104.95/105.04    Following clause subsumed by 409 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).
% 104.95/105.04  ** KEPT (pick-wt=6): 552 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 104.95/105.04  ---> New Demodulator: 553 [new_demod,552] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 104.95/105.04  ** KEPT (pick-wt=6): 554 [] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 104.95/105.04  ---> New Demodulator: 555 [new_demod,554] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 104.95/105.04  ** KEPT (pick-wt=16): 556 [] 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)).
% 104.95/105.04  ---> New Demodulator: 557 [new_demod,556] 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)).
% 104.95/105.04  ** KEPT (pick-wt=7): 558 [] c_lesse_quals(A,c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 104.95/105.04  ** KEPT (pick-wt=10): 560 [copy,559,demod,396,396] 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).
% 104.95/105.04  ---> New Demodulator: 561 [new_demod,560] 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).
% 104.95/105.04  ** KEPT (pick-wt=11): 562 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oused(C),tc_Message_Omsg)).
% 104.95/105.04  ** KEPT (pick-wt=11): 563 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_OinitState(C),tc_Message_Omsg)).
% 104.95/105.04  ** KEPT (pick-wt=16): 564 [] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,hAPP(c_Message_Omsg_OKey,H),I)=hAPP(D,H).
% 104.95/105.04  ** KEPT (pick-wt=16): 565 [] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,hAPP(c_Message_Omsg_OKey,H),I)=hAPP(D,H).
% 104.95/105.04    Following clause subsumed by 540 during input processing: 0 [demod,396] 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)).
% 104.95/105.04  ** KEPT (pick-wt=8): 566 [] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OSpy,D)=C.
% 104.95/105.04  ---> New Demodulator: 567 [new_demod,566] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OSpy,D)=C.
% 104.95/105.04  ** KEPT (pick-wt=8): 568 [] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OSpy,D)=C.
% 104.95/105.04  ---> New Demodulator: 569 [new_demod,568] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OSpy,D)=C.
% 104.95/105.04  ** KEPT (pick-wt=12): 570 [] 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).
% 104.95/105.04  ---> New Demodulator: 571 [new_demod,570] 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).
% 104.95/105.04  ** KEPT (pick-wt=8): 572 [] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 104.95/105.04  ---> New Demodulator: 573 [new_demod,572] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 104.95/105.04  ** KEPT (pick-wt=8): 575 [copy,574,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).
% 104.95/105.04  ---> New Demodulator: 576 [new_demod,575] c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))=c_NS__Shared__Mirabelle_Ons__sharedp(v_x).
% 104.95/105.04  ** KEPT (pick-wt=10): 577 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=15): 578 [] 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).
% 104.95/105.04  ---> New Demodulator: 579 [new_demod,578] 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).
% 104.95/105.04  ** KEPT (pick-wt=12): 580 [] 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).
% 104.95/105.04  ---> New Demodulator: 581 [new_demod,580] 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).
% 104.95/105.04  ** KEPT (pick-wt=13): 582 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=17): 583 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=7): 584 [] hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 104.95/105.04  ** KEPT (pick-wt=10): 585 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_OinitState(A),tc_Message_Omsg)).
% 104.95/105.04  ** KEPT (pick-wt=10): 586 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg)).
% 104.95/105.04    Following clause subsumed by 586 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg)).
% 104.95/105.04  ** KEPT (pick-wt=12): 587 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=5): 588 [] hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)).
% 104.95/105.04  ** KEPT (pick-wt=6): 589 [] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 104.95/105.04  ---> New Demodulator: 590 [new_demod,589] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 104.95/105.04  ** KEPT (pick-wt=11): 591 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(A,B),tc_Message_Omsg)).
% 104.95/105.04  ** KEPT (pick-wt=6): 592 [] hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 104.95/105.04  ** KEPT (pick-wt=17): 593 [] 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)).
% 104.95/105.04  ** KEPT (pick-wt=2): 594 [] class_Lattices_Oupper__semilattice(tc_nat).
% 104.95/105.04  ** KEPT (pick-wt=2): 595 [] class_Orderings_Opreorder(tc_nat).
% 104.95/105.04  ** KEPT (pick-wt=2): 596 [] class_Orderings_Olinorder(tc_nat).
% 104.95/105.04  ** KEPT (pick-wt=2): 597 [] class_Lattices_Olattice(tc_nat).
% 104.95/105.04  ** KEPT (pick-wt=2): 598 [] class_Orderings_Oorder(tc_nat).
% 104.95/105.04  ** KEPT (pick-wt=2): 599 [] class_Orderings_Obot(tc_nat).
% 104.95/105.04  ** KEPT (pick-wt=2): 600 [] class_HOL_Oord(tc_nat).
% 104.95/105.04  ** KEPT (pick-wt=2): 601 [] class_Lattices_Oupper__semilattice(tc_bool).
% 104.95/105.04  ** KEPT (pick-wt=2): 602 [] class_Lattices_Obounded__lattice(tc_bool).
% 104.95/105.04  ** KEPT (pick-wt=2): 603 [] class_Orderings_Opreorder(tc_bool).
% 104.95/105.04  ** KEPT (pick-wt=2): 604 [] class_Lattices_Olattice(tc_bool).
% 104.95/105.04  ** KEPT (pick-wt=2): 605 [] class_Orderings_Oorder(tc_bool).
% 104.95/105.04  ** KEPT (pick-wt=2): 606 [] class_Orderings_Obot(tc_bool).
% 104.95/105.04  ** KEPT (pick-wt=2): 607 [] class_HOL_Oord(tc_bool).
% 104.95/105.04  ** KEPT (pick-wt=4): 608 [] c_fe_qual(A,A,B).
% 104.95/105.04    Following clause subsumed by 371 during input processing: 0 [copy,371,flip.1] A=A.
% 104.95/105.04  371 back subsumes 361.
% 104.95/105.04  371 back subsumes 354.
% 104.95/105.04  371 back subsumes 353.
% 104.95/105.04  >>>> Starting back demodulation with 374.
% 104.95/105.04  >>>> Starting back demodulation with 377.
% 104.95/105.04  >>>> Starting back demodulation with 379.
% 104.95/105.04  >>>> Starting back demodulation with 381.
% 104.95/105.04  >>>> Starting back demodulation with 383.
% 104.95/105.04  >>>> Starting back demodulation with 385.
% 104.95/105.04  >>>> Starting back demodulation with 387.
% 104.95/105.04  >>>> Starting back demodulation with 391.
% 104.95/105.04  ** KEPT (pick-wt=19): 609 [copy,393,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)).
% 104.95/105.04  >>>> Starting back demodulation with 396.
% 104.95/105.04      >> back demodulating 359 with 396.
% 104.95/105.04      >> back demodulating 358 with 396.
% 104.95/105.04      >> back demodulating 357 with 396.
% 104.95/105.04      >> back demodulating 356 with 396.
% 104.95/105.04      >> back demodulating 322 with 396.
% 104.95/105.04      >> back demodulating 262 with 396.
% 104.95/105.04      >> back demodulating 252 with 396.
% 104.95/105.04      >> back demodulating 244 with 396.
% 104.95/105.04      >> back demodulating 200 with 396.
% 104.95/105.04      >> back demodulating 162 with 396.
% 104.95/105.04      >> back demodulating 161 with 396.
% 104.95/105.04      >> back demodulating 154 with 396.
% 104.95/105.04      >> back demodulating 152 with 396.
% 104.95/105.04      >> back demodulating 150 with 396.
% 104.95/105.04      >> back demodulating 149 with 396.
% 104.95/105.04      >> back demodulating 148 with 396.
% 104.95/105.04      >> back demodulating 147 with 396.
% 104.95/105.04      >> back demodulating 123 with 396.
% 104.95/105.04      >> back demodulating 112 with 396.
% 104.95/105.04      >> back demodulating 107 with 396.
% 104.95/105.04      >> back demodulating 100 with 396.
% 104.95/105.04      >> back demodulating 89 with 396.
% 104.95/105.04      >> back demodulating 82 with 396.
% 104.95/105.04      >> back demodulating 43 with 396.
% 104.95/105.04      >> back demodulating 39 with 396.
% 104.95/105.04      >> back demodulating 17 with 396.
% 104.95/105.04      >> back demodulating 16 with 396.
% 104.95/105.04    Following clause subsumed by 409 during input processing: 0 [copy,398,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).
% 104.95/105.05  >>>> Starting back demodulation with 400.
% 104.95/105.05  >>>> Starting back demodulation with 402.
% 104.95/105.05      >> back demodulating 370 with 402.
% 104.95/105.05      >> back demodulating 367 with 402.
% 104.95/105.05      >> back demodulating 364 with 402.
% 104.95/105.05      >> back demodulating 360 with 402.
% 104.95/105.05      >> back demodulating 351 with 402.
% 104.95/105.05      >> back demodulating 347 with 402.
% 104.95/105.05      >> back demodulating 346 with 402.
% 104.95/105.05  >>>> Starting back demodulation with 405.
% 104.95/105.05  ** KEPT (pick-wt=15): 637 [copy,406,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__rec(C,A,D,E,F,G,H,c_Message_Omsg_ONumber(B),I).
% 104.95/105.05    Following clause subsumed by 409 during input processing: 0 [copy,407,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).
% 104.95/105.05  ** KEPT (pick-wt=24): 638 [copy,408,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)).
% 104.95/105.05    Following clause subsumed by 409 during input processing: 0 [copy,409,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 104.95/105.05  409 back subsumes 407.
% 104.95/105.05  409 back subsumes 398.
% 104.95/105.05  ** KEPT (pick-wt=15): 639 [copy,411,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__rec(C,D,A,E,F,G,H,c_Message_Omsg_ONonce(B),I).
% 104.95/105.05  ** KEPT (pick-wt=23): 640 [copy,413,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)).
% 104.95/105.05  ** KEPT (pick-wt=35): 641 [copy,415,flip.1,demod,424] 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)).
% 104.95/105.05  ** KEPT (pick-wt=15): 642 [copy,416,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(C,D,A,E,F,G,H,c_Message_Omsg_ONonce(B),I).
% 104.95/105.05  >>>> Starting back demodulation with 418.
% 104.95/105.05    Following clause subsumed by 506 during input processing: 0 [copy,420,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).
% 104.95/105.05    Following clause subsumed by 422 during input processing: 0 [copy,422,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)).
% 104.95/105.05  >>>> Starting back demodulation with 424.
% 104.95/105.05      >> back demodulating 415 with 424.
% 104.95/105.05  >>>> Starting back demodulation with 428.
% 104.95/105.05  >>>> Starting back demodulation with 431.
% 104.95/105.05  ** KEPT (pick-wt=15): 644 [copy,433,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(C,A,D,E,F,G,H,c_Message_Omsg_ONumber(B),I).
% 104.95/105.05  >>>> Starting back demodulation with 436.
% 104.95/105.05  >>>> Starting back demodulation with 442.
% 104.95/105.05  >>>> Starting back demodulation with 445.
% 104.95/105.05  >>>> Starting back demodulation with 448.
% 104.95/105.05  ** KEPT (pick-wt=22): 645 [copy,451,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)).
% 104.95/105.05  >>>> Starting back demodulation with 454.
% 104.95/105.05  >>>> Starting back demodulation with 456.
% 104.95/105.05  >>>> Starting back demodulation with 458.
% 104.95/105.05  >>>> Starting back demodulation with 460.
% 104.95/105.05  >>>> Starting back demodulation with 463.
% 104.95/105.05  >>>> Starting back demodulation with 466.
% 104.95/105.05  >>>> Starting back demodulation with 469.
% 104.95/105.05  ** KEPT (pick-wt=24): 646 [copy,474,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)).
% 104.95/105.05  >>>> Starting back demodulation with 476.
% 104.95/105.05  ** KEPT (pick-wt=26): 647 [copy,477,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).
% 104.95/105.05  >>>> Starting back demodulation with 482.
% 104.95/105.05  >>>> Starting back demodulation with 485.
% 104.95/105.05  >>>> Starting back demodulation with 487.
% 104.95/105.05  488 back subsumes 478.
% 104.95/105.05  488 back subsumes 432.
% 104.95/105.05  >>>> Starting back demodulation with 490.
% 104.95/105.05      >> back demodulating 130 with 490.
% 104.95/105.05  >>>> Starting back demodulation with 492.
% 104.95/105.05  >>>> Starting back demodulation with 494.
% 104.95/105.05    Following clause subsumed by 495 during input processing: 0 [copy,495,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)).
% 104.95/105.05  ** KEPT (pick-wt=17): 648 [copy,497,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).
% 104.95/105.05  >>>> Starting back demodulation with 499.
% 104.95/105.05  ** KEPT (pick-wt=18): 649 [copy,500,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).
% 104.95/105.05  >>>> Starting back demodulation with 502.
% 104.95/105.05      >> back demodulating 209 with 502.
% 104.95/105.05  >>>> Starting back demodulation with 504.
% 104.95/105.05    Following clause subsumed by 420 during input processing: 0 [copy,506,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).
% 104.95/105.05  ** KEPT (pick-wt=11): 650 [copy,507,flip.1] hAPP(A,B)=c_Message_Oagent_Oagent__case(C,A,D,c_Message_Oagent_OFriend(B),E).
% 104.95/105.05  >>>> Starting back demodulation with 509.
% 104.95/105.05  >>>> Starting back demodulation with 511.
% 104.95/105.05      >> back demodulating 156 with 511.
% 104.95/105.05  ** KEPT (pick-wt=18): 652 [copy,514,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).
% 104.95/105.05  >>>> Starting back demodulation with 519.
% 104.95/105.05    Following clause subsumed by 550 during input processing: 0 [copy,520,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)).
% 104.95/105.05  >>>> Starting back demodulation with 523.
% 104.95/105.05  ** KEPT (pick-wt=15): 653 [copy,524,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(A,C,D,E,F,G,H,c_Message_Omsg_OAgent(B),I).
% 104.95/105.05  ** KEPT (pick-wt=15): 654 [copy,526,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__rec(A,C,D,E,F,G,H,c_Message_Omsg_OAgent(B),I).
% 104.95/105.05  ** KEPT (pick-wt=11): 655 [copy,527,flip.1] hAPP(A,B)=c_Message_Oagent_Oagent__rec(C,A,D,c_Message_Oagent_OFriend(B),E).
% 104.95/105.05  >>>> Starting back demodulation with 529.
% 104.95/105.05  530 back subsumes 105.
% 104.95/105.05  >>>> Starting back demodulation with 532.
% 104.95/105.05  >>>> Starting back demodulation with 534.
% 104.95/105.05      >> back demodulating 301 with 534.
% 104.95/105.05  ** KEPT (pick-wt=15): 656 [copy,536,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(C,D,E,F,A,G,H,c_Message_Omsg_OHash(B),I).
% 104.95/105.05  ** KEPT (pick-wt=7): 657 [copy,537,flip.1] c_Event_OinitState(A)=c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)).
% 104.95/105.05  ** KEPT (pick-wt=20): 658 [copy,540,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)).
% 104.95/105.05  540 back subsumes 474.
% 104.95/105.05  >>>> Starting back demodulation with 543.
% 104.95/105.05      >> back demodulating 207 with 543.
% 104.95/105.05  >>>> Starting back demodulation with 545.
% 104.95/105.05  >>>> Starting back demodulation with 547.
% 104.95/105.05      >> back demodulating 516 with 547.
% 104.95/105.05      >> back demodulating 73 with 547.
% 104.95/105.05  >>>> Starting back demodulation with 549.
% 104.95/105.05    Following clause subsumed by 520 during input processing: 0 [copy,550,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).
% 104.95/105.05  >>>> Starting back demodulation with 553.
% 104.95/105.05  >>>> Starting back demodulation with 555.
% 104.95/105.05  >>>> Starting back demodulation with 557.
% 104.95/105.05      >> back demodulating 443 with 557.
% 104.95/105.05      >> back demodulating 410 with 557.
% 104.95/105.05      >> back demodulating 362 with 557.
% 104.95/105.05      >> back demodulating 321 with 557.
% 104.95/105.05      >> back demodulating 212 with 557.
% 104.95/105.05      >> back demodulating 29 with 557.
% 104.95/105.05  >>>> Starting back demodulation with 561.
% 104.95/105.05  ** KEPT (pick-wt=16): 661 [copy,564,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__case(C,D,E,A,F,G,H,hAPP(c_Message_Omsg_OKey,B),I).
% 104.95/105.05  ** KEPT (pick-wt=16): 662 [copy,565,flip.1] hAPP(A,B)=c_Message_Omsg_Omsg__rec(C,D,E,A,F,G,H,hAPP(c_Message_Omsg_OKey,B),I).
% 104.95/105.05  >>>> Starting back demodulation with 567.
% 104.95/105.05      >> back demodulating 305 with 567.
% 104.95/105.05  >>>> Starting back demodulation with 569.
% 104.95/105.05  >>>> Starting back demodulation with 571.
% 104.95/105.05      >> back demodulating 300 with 571.
% 104.95/105.05  >>>> Starting back demodulation with 573.
% 104.95/105.05  >>>> Starting back demodulation with 576.
% 104.95/105.05  >>>> Starting back demodulation with 579.
% 104.95/105.05  >>>> Starting back demodulation with 581.
% 104.95/105.05  >>>> Starting back demodulation with 590.
% 104.95/105.05      >> back demodulating 330 with 590.
% 104.95/105.05    Following clause subsumed by 393 during input processing: 0 [copy,609,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)).
% 104.95/105.05  618 back subsumes 614.
% 104.95/105.05    Following clause subsumed by 630 during input processing: 0 [copy,621,flip.1] c_Set_Oinsert(A,B,C)!=c_List_Oset(c_List_Olist_ONil(C),C).
% 104.95/105.05    Following clause subsumed by 621 during input processing: 0 [copy,630,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)!=c_Set_Oinsert(B,C,A).
% 104.95/105.05    Following clause subsumed by 406 during input processing: 0 [copy,637,flip.1] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_ONumber(H),I)=hAPP(B,H).
% 104.95/105.05    Following clause subsumed by 408 during input processing: 0 [copy,638,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).
% 104.95/105.05    Following clause subsumed by 411 during input processing: 0 [copy,639,flip.1] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_ONonce(H),I)=hAPP(C,H).
% 104.95/105.05    Following clause subsumed by 413 during input processing: 0 [copy,640,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)).
% 104.95/105.05    Following clause subsumed by 643 during input processing: 0 [copy,641,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)).
% 104.95/105.05    Following clause subsumed by 416 during input processing: 0 [copy,642,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_ONonce(H),I)=hAPP(C,H).
% 104.95/105.05    Following clause subsumed by 641 during input processing: 0 [copy,643,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)).
% 106.35/106.43    Following clause subsumed by 433 during input processing: 0 [copy,644,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_ONumber(H),I)=hAPP(B,H).
% 106.35/106.43    Following clause subsumed by 451 during input processing: 0 [copy,645,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)).
% 106.35/106.43    Following clause subsumed by 540 during input processing: 0 [copy,646,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)).
% 106.35/106.43    Following clause subsumed by 477 during input processing: 0 [copy,647,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)).
% 106.35/106.43    Following clause subsumed by 497 during input processing: 0 [copy,648,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)).
% 106.35/106.43    Following clause subsumed by 500 during input processing: 0 [copy,649,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).
% 106.35/106.43    Following clause subsumed by 507 during input processing: 0 [copy,650,flip.1] c_Message_Oagent_Oagent__case(A,B,C,c_Message_Oagent_OFriend(D),E)=hAPP(B,D).
% 106.35/106.43    Following clause subsumed by 514 during input processing: 0 [copy,652,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).
% 106.35/106.43    Following clause subsumed by 524 during input processing: 0 [copy,653,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OAgent(H),I)=hAPP(A,H).
% 106.35/106.43    Following clause subsumed by 526 during input processing: 0 [copy,654,flip.1] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,c_Message_Omsg_OAgent(H),I)=hAPP(A,H).
% 106.35/106.43    Following clause subsumed by 527 during input processing: 0 [copy,655,flip.1] c_Message_Oagent_Oagent__rec(A,B,C,c_Message_Oagent_OFriend(D),E)=hAPP(B,D).
% 106.35/106.43    Following clause subsumed by 536 during input processing: 0 [copy,656,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,c_Message_Omsg_OHash(H),I)=hAPP(E,H).
% 106.35/106.43    Following clause subsumed by 537 during input processing: 0 [copy,657,flip.1] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 106.35/106.43    Following clause subsumed by 540 during input processing: 0 [copy,658,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)).
% 106.35/106.43  658 back subsumes 646.
% 106.35/106.43    Following clause subsumed by 564 during input processing: 0 [copy,661,flip.1] c_Message_Omsg_Omsg__case(A,B,C,D,E,F,G,hAPP(c_Message_Omsg_OKey,H),I)=hAPP(D,H).
% 106.35/106.43    Following clause subsumed by 565 during input processing: 0 [copy,662,flip.1] c_Message_Omsg_Omsg__rec(A,B,C,D,E,F,G,hAPP(c_Message_Omsg_OKey,H),I)=hAPP(D,H).
% 106.35/106.43  
% 106.35/106.43  ======= end of input processing =======
% 106.35/106.43  
% 106.35/106.43  =========== start of search ===========
% 106.35/106.43  
% 106.35/106.43  
% 106.35/106.43  Resetting weight limit to 2.
% 106.35/106.43  
% 106.35/106.43  
% 106.35/106.43  Resetting weight limit to 2.
% 106.35/106.43  
% 106.35/106.43  sos_size=199
% 106.35/106.43  
% 106.35/106.43  Search stopped because sos empty.
% 106.35/106.43  
% 106.35/106.43  
% 106.35/106.43  Search stopped because sos empty.
% 106.35/106.43  
% 106.35/106.43  ============ end of search ============
% 106.35/106.43  
% 106.35/106.43  -------------- statistics -------------
% 106.35/106.43  clauses given                200
% 106.35/106.43  clauses generated         113442
% 106.35/106.43  clauses kept                 577
% 106.35/106.43  clauses forward subsumed     183
% 106.35/106.43  clauses back subsumed         19
% 106.35/106.43  Kbytes malloced            11718
% 106.35/106.43  
% 106.35/106.43  ----------- times (seconds) -----------
% 106.35/106.43  user CPU time          1.46          (0 hr, 0 min, 1 sec)
% 106.35/106.43  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 106.35/106.43  wall-clock time      106             (0 hr, 1 min, 46 sec)
% 106.35/106.43  
% 106.35/106.43  Process 18888 finished Wed Jul 27 06:23:13 2022
% 106.35/106.43  Otter interrupted
% 106.35/106.43  PROOF NOT FOUND
%------------------------------------------------------------------------------