TSTP Solution File: SWV767-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV767-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n026.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 13:21:30 EDT 2022

% Result   : Unknown 112.12s 112.21s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV767-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 06:38:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 111.66/111.82  ----- Otter 3.3f, August 2004 -----
% 111.66/111.82  The process was started by sandbox2 on n026.cluster.edu,
% 111.66/111.82  Wed Jul 27 06:38:54 2022
% 111.66/111.82  The command was "./otter".  The process ID is 22227.
% 111.66/111.82  
% 111.66/111.82  set(prolog_style_variables).
% 111.66/111.82  set(auto).
% 111.66/111.82     dependent: set(auto1).
% 111.66/111.82     dependent: set(process_input).
% 111.66/111.82     dependent: clear(print_kept).
% 111.66/111.82     dependent: clear(print_new_demod).
% 111.66/111.82     dependent: clear(print_back_demod).
% 111.66/111.82     dependent: clear(print_back_sub).
% 111.66/111.82     dependent: set(control_memory).
% 111.66/111.82     dependent: assign(max_mem, 12000).
% 111.66/111.82     dependent: assign(pick_given_ratio, 4).
% 111.66/111.82     dependent: assign(stats_level, 1).
% 111.66/111.82     dependent: assign(max_seconds, 10800).
% 111.66/111.82  clear(print_given).
% 111.66/111.82  
% 111.66/111.82  list(usable).
% 111.66/111.82  0 [] A=A.
% 111.66/111.82  0 [] c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg).
% 111.66/111.82  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)|c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat).
% 111.66/111.82  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.66/111.82  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.66/111.82  0 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.66/111.82  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.66/111.82  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.66/111.82  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.66/111.82  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).
% 111.66/111.82  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat).
% 111.66/111.82  0 [] c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)| -c_in(V_K,c_Message_OsymKeys,tc_nat).
% 111.66/111.82  0 [] c_List_Oremdups(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))| -c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))| -c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)).
% 111.66/111.82  0 [] c_Message_OinvKey(V_K)=V_K| -c_in(V_K,c_Message_OsymKeys,tc_nat).
% 111.66/111.82  0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_ys=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OHash(V_X))| -c_Message_Osynthp(V_H,V_X).
% 111.66/111.82  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 111.66/111.82  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 111.66/111.82  0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 111.66/111.82  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).
% 111.66/111.82  0 [] -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).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] -c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(V_K,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg)|c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|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| -c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)|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)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 111.66/111.82  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 111.66/111.82  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 111.66/111.82  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 111.66/111.82  0 [] c_List_Olist__inter(c_List_Olist_ONil(T_a),V_bs,T_a)=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_ONumber(V_nat_H)|V_nat=V_nat_H.
% 111.66/111.82  0 [] c_lesse_quals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.82  0 [] c_List_Odistinct(V_ys,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 111.66/111.82  0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 111.66/111.82  0 [] V_ys=c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a).
% 111.66/111.82  0 [] c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 111.66/111.82  0 [] V_xs=c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a).
% 111.66/111.82  0 [] V_x=c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a).
% 111.66/111.82  0 [] c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 111.66/111.82  0 [] -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).
% 111.66/111.82  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONumber(V_nat).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] 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)| -c_in(V_xa,V_AA,tc_Message_Oagent).
% 111.66/111.82  0 [] c_in(V_x,V_AA,tc_Message_Oagent)| -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).
% 111.66/111.82  0 [] V_b=V_c| -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).
% 111.66/111.82  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Oappend(V_xs,V_zs,T_a)|V_ys=V_zs.
% 111.66/111.82  0 [] c_List_Oappend(V_ys,V_xs,T_a)!=c_List_Oappend(V_zs,V_xs,T_a)|V_ys=V_zs.
% 111.66/111.82  0 [] c_Message_Omsg_ONumber(V_N)!=c_Message_OHPair(V_X,V_Y).
% 111.66/111.82  0 [] c_Message_OinvKey(V_K)!=c_Message_OinvKey(V_K_H)|V_K=V_K_H.
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_in(hAPP(V_f,V_x),V_B,T_a)| -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)).
% 111.66/111.82  0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))!=hAPP(c_Public_OpublicKey(V_c),V_A_H).
% 111.66/111.82  0 [] c_in(c_List_Olist_ONil(T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)).
% 111.66/111.82  0 [] -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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 111.66/111.82  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 111.66/111.82  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)).
% 111.66/111.82  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_A=V_A_H.
% 111.66/111.82  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_b=V_c.
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_Message_OHPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_Y_H=V_Y.
% 111.66/111.82  0 [] c_Message_OHPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_X_H=V_X.
% 111.66/111.82  0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a).
% 111.66/111.82  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 111.66/111.82  0 [] 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).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_List_Olist_ONil(T_a)!=c_List_Oremdups(V_x,T_a)|V_x=c_List_Olist_ONil(T_a).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] 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)).
% 111.66/111.82  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 111.66/111.82  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)| -c_in(V_x,V_A,T_a).
% 111.66/111.82  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))|c_in(V_x,V_A,T_a).
% 111.66/111.82  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|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)).
% 111.66/111.82  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))|c_in(V_x,V_A,T_a).
% 111.66/111.82  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))|c_in(V_x,V_A,T_a).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_List_Oremdups(V_xs,T_a)!=V_xs|c_List_Odistinct(V_xs,T_a).
% 111.66/111.82  0 [] c_List_Oremdups(V_xs,T_a)=V_xs| -c_List_Odistinct(V_xs,T_a).
% 111.66/111.82  0 [] -c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat).
% 111.66/111.82  0 [] c_List_Olist_OCons(V_x,V_xs,T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 111.66/111.82  0 [] c_List_Olist_ONil(T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] -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).
% 111.66/111.82  0 [] 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).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] -c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a).
% 111.66/111.82  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a).
% 111.66/111.82  0 [] c_in(V_t,V_B,T_a)| -c_in(V_t,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.66/111.82  0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_List_Oset(c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),tc_fun(T_a,tc_bool)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_Message_Omsg_OHash(V_Z)!=c_Message_OHPair(V_X,V_Y).
% 111.66/111.82  0 [] c_List_Odistinct(c_List_Olist_ONil(T_a),T_a).
% 111.66/111.82  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 111.66/111.82  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OHash(V_msg_H)|V_msg=V_msg_H.
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 111.66/111.82  0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 111.66/111.82  0 [] c_Message_Osynthp(V_H,c_Message_Omsg_ONumber(V_n)).
% 111.66/111.82  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 111.66/111.82  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))| -c_in(V_x,V_B,T_a).
% 111.66/111.82  0 [] c_Message_OinvKey(c_Message_OinvKey(V_K))=V_K.
% 111.66/111.82  0 [] c_List_Oremdups(V_x,T_a)!=c_List_Olist_ONil(T_a)|V_x=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat).
% 111.66/111.82  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] V_xs!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_ys|V_xs=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] V_ys!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a).
% 111.66/111.82  0 [] c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a).
% 111.66/111.82  0 [] c_List_Olist_ONil(T_a)=c_List_Oremdups(c_List_Olist_ONil(T_a),T_a).
% 111.66/111.82  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OGets(V_agent,V_msg).
% 111.66/111.82  0 [] c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(V_A).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 111.66/111.82  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 111.66/111.82  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_Message_Osynthp(V_H,V_X)| -hBOOL(hAPP(V_H,V_X)).
% 111.66/111.82  0 [] hAPP(c_Public_OshrK,V_A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)).
% 111.66/111.82  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))| -c_in(V_X,V_G,tc_Message_Omsg).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)!=c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)|V_xs=V_ys.
% 111.66/111.82  0 [] c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)!=c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)|V_x=V_y.
% 111.66/111.82  0 [] c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))| -c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)).
% 111.66/111.82  0 [] c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))| -c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)).
% 111.66/111.82  0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C))!=hAPP(c_Public_OshrK,V_A).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a)=c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a).
% 111.66/111.82  0 [] c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a)=c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a).
% 111.66/111.82  0 [] c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a)=c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a).
% 111.66/111.82  0 [] c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a)=c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a).
% 111.66/111.82  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).
% 111.66/111.82  0 [] hAPP(c_Public_OpublicKey(V_c),V_A_H)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)).
% 111.66/111.82  0 [] c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat).
% 111.66/111.82  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 111.66/111.82  0 [] 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)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] 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)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)|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).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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.
% 111.66/111.82  0 [] c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)| -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).
% 111.66/111.82  0 [] 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))| -c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg).
% 111.66/111.82  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oparts(V_H)| -c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg).
% 111.66/111.82  0 [] 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)| -c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg).
% 111.66/111.82  0 [] c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oanalz(V_H)| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.82  0 [] 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))| -c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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)|c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  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)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.66/111.82  0 [] c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.66/111.82  0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_A,T_a).
% 111.66/111.82  0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_B,T_a).
% 111.66/111.82  0 [] c_in(V_a,V_A,T_a)|V_a=V_b| -c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a).
% 111.66/111.82  0 [] c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a)| -c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 111.66/111.82  0 [] c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 111.66/111.82  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 111.66/111.82  0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a).
% 111.66/111.82  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a).
% 111.66/111.82  0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|c_in(V_x,V_B,T_a)|c_in(V_x,V_A,T_a)|V_A=V_B.
% 111.66/111.82  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a).
% 111.66/111.82  0 [] -c_in(V_x,V_A,T_aa)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a).
% 111.66/111.82  0 [] -c_in(V_x,V_A,T_b)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 111.66/111.82  0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)| -c_in(V_x,V_A,T_b).
% 111.66/111.82  0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_x,V_A,T_a).
% 111.66/111.82  0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 111.66/111.82  0 [] c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a)=c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a).
% 111.66/111.82  0 [] c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a)=c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 111.66/111.82  0 [] c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a)=c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a).
% 111.66/111.82  0 [] c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a)=c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a).
% 111.66/111.82  0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 111.66/111.82  0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 111.66/111.82  0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OMPair(V_X,V_Y))| -c_Message_Osynthp(V_H,V_Y)| -c_Message_Osynthp(V_H,V_X).
% 111.66/111.82  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OHash(V_msg).
% 111.66/111.82  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONumber(V_nat).
% 111.66/111.82  0 [] c_Message_OHPair(V_X,V_Y)!=c_Message_Omsg_OMPair(V_X_H,V_Y_H)|V_Y_H=V_Y.
% 111.66/111.82  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 111.66/111.82  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 111.66/111.82  0 [] c_Message_Omsg_OMPair(V_X_H,V_Y_H)!=c_Message_OHPair(V_X,V_Y)|V_Y_H=V_Y.
% 111.66/111.82  0 [] 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)| -c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_List_Oset(c_List_Oremdups(V_xs,T_a),T_a)=c_List_Oset(V_xs,T_a).
% 111.66/111.82  0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.66/111.82  0 [] 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)| -c_in(V_x,V_A,tc_nat).
% 111.66/111.82  0 [] c_in(V_x,V_A,tc_nat)| -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).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg).
% 111.66/111.82  0 [] -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).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_lesse_quals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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))| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] 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)| -c_in(V_K,V_nE,tc_nat)| -c_in(V_K,V_nE,tc_nat).
% 111.66/111.82  0 [] 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)| -c_in(V_K,V_nE,tc_nat)|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).
% 111.66/111.82  0 [] 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)| -c_in(V_K,V_nE,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] 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)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_K,V_nE,tc_nat).
% 111.66/111.82  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.66/111.82  0 [] c_Message_Omsg_OCrypt(V_K,V_X_H)!=c_Message_OHPair(V_X,V_Y).
% 111.66/111.82  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONumber(V_nat).
% 111.66/111.82  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.66/111.82  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OHash(V_msg).
% 111.66/111.82  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))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_Message_Omsg_ONumber(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 111.66/111.82  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONumber(V_nat).
% 111.66/111.82  0 [] c_Message_Omsg_OHash(V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 111.66/111.82  0 [] hAPP(c_Message_Omsg_OKey,V_K)!=c_Message_OHPair(V_X,V_Y).
% 111.66/111.82  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_lesse_quals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.82  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))).
% 111.66/111.82  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))).
% 111.66/111.82  0 [] -c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_lesse_quals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_Message_Omsg_OAgent(V_A)!=c_Message_OHPair(V_X,V_Y).
% 111.66/111.82  0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OAgent(V_agt)).
% 111.66/111.82  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.66/111.82  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONumber(V_nat_H).
% 111.66/111.82  0 [] c_Message_Omsg_ONumber(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.66/111.82  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OHash(V_msg_H).
% 111.66/111.82  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 111.66/111.82  0 [] c_Message_Omsg_ONumber(V_nat)!=c_Message_Omsg_ONonce(V_nat_H).
% 111.66/111.82  0 [] c_Message_Omsg_ONonce(V_N)!=c_Message_OHPair(V_X,V_Y).
% 111.66/111.82  0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_ONumber(V_nat).
% 111.66/111.82  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 111.66/111.82  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H).
% 111.66/111.82  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 111.66/111.82  0 [] c_Event_Oevent_OGets(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 111.66/111.82  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 111.66/111.82  0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Public_OpublicKey(V_b),V_C).
% 111.66/111.82  0 [] hAPP(c_Public_OpublicKey(V_b),V_C)!=hAPP(c_Public_OshrK,V_A).
% 111.66/111.82  0 [] c_Message_OinvKey(hAPP(c_Public_OshrK,V_A))=hAPP(c_Public_OshrK,V_A).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_x,V_AA,tc_Message_Oagent).
% 111.66/111.82  0 [] c_in(V_x,V_AA,tc_Message_Oagent)| -c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 111.66/111.82  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))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  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))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  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))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.82  0 [] 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)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] 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))| -c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OCrypt(V_K,V_X))| -hBOOL(hAPP(V_H,hAPP(c_Message_Omsg_OKey,V_K)))| -c_Message_Osynthp(V_H,V_X).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)| -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))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] 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_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))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  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).
% 111.66/111.82  0 [] c_in(V_x,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_x),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|V_K=V_KAB| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)|c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  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)).
% 111.66/111.82  0 [] c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  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)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.82  0 [] c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a)|c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.66/111.82  0 [] c_List_Oremdups(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Oremdups(V_xs,T_a),T_a)|c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.66/111.82  0 [] -c_in(V_x,c_List_Oset(V_xs,T_a),T_a)| -c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 111.66/111.82  0 [] c_List_Olength__unique(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olength__unique(V_xs,T_a)| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.66/111.82  0 [] c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a).
% 111.66/111.82  0 [] c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)|c_in(V_x,c_List_Oset(V_xb,T_a),T_a).
% 111.66/111.82  0 [] c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)|c_in(V_x,c_List_Oset(V_xa,T_a),T_a).
% 111.66/111.82  0 [] c_List_Olist__inter(c_List_Olist_OCons(V_a,V_as,T_a),V_bs,T_a)=c_List_Olist__inter(V_as,V_bs,T_a)|c_in(V_a,c_List_Oset(V_bs,T_a),T_a).
% 111.66/111.82  0 [] c_List_Olist__inter(c_List_Olist_OCons(V_a,V_as,T_a),V_bs,T_a)=c_List_Olist_OCons(V_a,c_List_Olist__inter(V_as,V_bs,T_a),T_a)| -c_in(V_a,c_List_Oset(V_bs,T_a),T_a).
% 111.66/111.82  0 [] c_List_Oremdups(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Oremdups(V_xs,T_a)| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.66/111.82  0 [] 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))| -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)| -c_in(V_K,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4).
% 111.66/111.82  0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_x,V_A,T_a)| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a)| -c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)).
% 111.66/111.82  0 [] -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).
% 111.66/111.82  0 [] -c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 111.66/111.82  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))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] -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).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg).
% 111.66/111.82  0 [] 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))| -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)| -c_in(V_KAB,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2).
% 111.66/111.82  0 [] 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)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.82  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).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  0 [] 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))| -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)| -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)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5).
% 111.66/111.82  0 [] 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))|c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1).
% 111.66/111.82  0 [] -c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -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)|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] 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)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 111.66/111.82  0 [] 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).
% 111.66/111.82  0 [] c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  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)).
% 111.66/111.82  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).
% 111.66/111.82  0 [] -c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 111.66/111.82  0 [] 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))| -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)| -c_in(V_K,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)| -c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] 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))| -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)| -c_in(V_KAB,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)| -c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] 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).
% 111.66/111.82  0 [] -c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|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).
% 111.66/111.82  0 [] -c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|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).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -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_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)| -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.
% 111.66/111.82  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)|c_in(V_A,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.82  0 [] 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))| -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)| -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)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evso).
% 111.66/111.82  0 [] 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))| -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)| -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)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] 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))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf).
% 111.66/111.82  0 [] c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_B,c_Event_Obad,tc_Message_Oagent)|c_in(V_A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] 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_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_B,c_Event_Obad,tc_Message_Oagent)|c_in(V_A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 111.66/111.82  0 [] -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_B,c_Event_Obad,tc_Message_Oagent)|c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] 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))|c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)| -c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] 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))| -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)| -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| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3).
% 111.66/111.82  0 [] 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))| -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)| -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)| -c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] 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_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(V_A,V_B,V_K,V_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_B,c_Event_Obad,tc_Message_Oagent)| -c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_Message_Oanalz(c_Message_Oanalz(V_H))=c_Message_Oanalz(V_H).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 111.66/111.82  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OAgent(V_agent_H)|V_agent=V_agent_H.
% 111.66/111.82  0 [] c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.66/111.82  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.
% 111.66/111.82  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.
% 111.66/111.82  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 111.66/111.82  0 [] c_Message_Omsg_OAgent(V_agent)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 111.66/111.82  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONonce(V_nat).
% 111.66/111.82  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.
% 111.66/111.82  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.
% 111.66/111.82  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.
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.82  0 [] 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))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)| -c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -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).
% 111.66/111.82  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 111.66/111.82  0 [] c_Message_Oparts(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 111.66/111.82  0 [] c_Message_Omsg_ONonce(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 111.66/111.82  0 [] c_Message_Oanalz(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 111.66/111.82  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.66/111.82  0 [] 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_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] V_K_H=hAPP(c_Public_OshrK,V_A)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] 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)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -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)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OSpy.
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] V_A=V_A_H| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] V_NA=V_NA_H| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] V_B=V_B_H| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] V_X=V_X_H| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] V_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 111.66/111.82  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H)|V_nat=V_nat_H.
% 111.66/111.82  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 111.66/111.82  0 [] 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)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -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).
% 111.66/111.82  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.66/111.82  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 111.66/111.82  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.66/111.82  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 111.66/111.82  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.66/111.82  0 [] c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_ONonce(V_nat_H)|V_nat=V_nat_H.
% 111.66/111.82  0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)).
% 111.66/111.82  0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a).
% 111.66/111.82  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.66/111.82  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_nat=V_nat_H.
% 111.66/111.82  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_msg=V_msg_H.
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|V_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -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_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(V_y,c_List_Oset(V_xs,T_a),T_a)|V_y=V_x| -c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a).
% 111.66/111.82  0 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONonce(V_nat_H).
% 111.66/111.82  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg1=V_msg1_H.
% 111.66/111.82  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg2=V_msg2_H.
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -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).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 111.66/111.82  0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 111.66/111.82  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONonce(V_nat).
% 111.66/111.82  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OMPair(V_msg1,V_msg2).
% 111.66/111.82  0 [] V_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg).
% 111.66/111.82  0 [] c_Message_Osynth(c_Message_Osynth(V_H))=c_Message_Osynth(V_H).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] 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))| -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)| -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| -c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] -c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.82  0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 111.66/111.82  0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 111.66/111.82  0 [] -c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|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).
% 111.66/111.82  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.66/111.82  0 [] hAPP(c_Public_OshrK,V_x)!=hAPP(c_Public_OshrK,V_y)|V_x=V_y.
% 111.66/111.82  0 [] -c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.66/111.82  0 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.82  0 [] c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.82  0 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 111.66/111.82  0 [] -c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg).
% 111.66/111.82  0 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg).
% 111.66/111.82  0 [] -c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.82  0 [] c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)|c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).
% 111.66/111.82  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 111.66/111.82  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 111.66/111.82  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 111.66/111.82  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 111.66/111.82  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 111.66/111.82  0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 111.66/111.82  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 111.66/111.82  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 111.66/111.82  0 [] class_Orderings_Opreorder(tc_nat).
% 111.66/111.82  0 [] class_Orderings_Olinorder(tc_nat).
% 111.66/111.82  0 [] class_Lattices_Olattice(tc_nat).
% 111.66/111.82  0 [] class_Orderings_Oorder(tc_nat).
% 111.66/111.82  0 [] class_HOL_Oord(tc_nat).
% 111.66/111.82  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 111.66/111.82  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 111.66/111.82  0 [] class_Orderings_Opreorder(tc_bool).
% 111.66/111.82  0 [] class_Lattices_Olattice(tc_bool).
% 111.66/111.82  0 [] class_Orderings_Oorder(tc_bool).
% 111.66/111.82  0 [] class_Orderings_Otop(tc_bool).
% 111.66/111.82  0 [] class_HOL_Oord(tc_bool).
% 111.66/111.82  0 [] c_fe_qual(V_x,V_x,T_a).
% 111.66/111.82  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 111.66/111.82  end_of_list.
% 111.66/111.82  
% 111.66/111.82  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 111.66/111.82  
% 111.66/111.82  This ia a non-Horn set with equality.  The strategy will be
% 111.66/111.82  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 111.66/111.82  deletion, with positive clauses in sos and nonpositive
% 111.66/111.82  clauses in usable.
% 111.66/111.82  
% 111.66/111.82     dependent: set(knuth_bendix).
% 111.66/111.82     dependent: set(anl_eq).
% 111.66/111.82     dependent: set(para_from).
% 111.66/111.82     dependent: set(para_into).
% 111.66/111.82     dependent: clear(para_from_right).
% 111.66/111.82     dependent: clear(para_into_right).
% 111.66/111.82     dependent: set(para_from_vars).
% 111.66/111.82     dependent: set(eq_units_both_ways).
% 111.66/111.82     dependent: set(dynamic_demod_all).
% 111.66/111.82     dependent: set(dynamic_demod).
% 111.66/111.82     dependent: set(order_eq).
% 111.66/111.82     dependent: set(back_demod).
% 111.66/111.82     dependent: set(lrpo).
% 111.66/111.82     dependent: set(hyper_res).
% 111.66/111.82     dependent: set(unit_deletion).
% 111.66/111.82     dependent: set(factor).
% 111.66/111.82  
% 111.66/111.82  ------------> process usable:
% 111.66/111.82  ** KEPT (pick-wt=15): 1 [] c_in(A,c_Message_OkeysFor(B),tc_nat)| -c_in(A,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg).
% 111.66/111.82  ** KEPT (pick-wt=12): 2 [] c_in(c_Message_OinvKey(A),c_Message_OkeysFor(B),tc_nat)| -c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg).
% 111.66/111.82  ** KEPT (pick-wt=14): 3 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 111.66/111.82  ** KEPT (pick-wt=9): 4 [] c_in(A,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat).
% 111.66/111.82  ** KEPT (pick-wt=9): 5 [] c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat)| -c_in(A,c_Message_OsymKeys,tc_nat).
% 111.66/111.82  ** KEPT (pick-wt=17): 6 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 111.66/111.82  ** KEPT (pick-wt=13): 7 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 111.66/111.82  ** KEPT (pick-wt=13): 8 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 111.66/111.82  ** KEPT (pick-wt=24): 9 [] c_in(c_List_Oappend(A,B,C),c_List_Olists(D,C),tc_List_Olist(C))| -c_in(B,c_List_Olists(D,C),tc_List_Olist(C))| -c_in(A,c_List_Olists(D,C),tc_List_Olist(C)).
% 111.66/111.82  ** KEPT (pick-wt=8): 10 [] c_Message_OinvKey(A)=A| -c_in(A,c_Message_OsymKeys,tc_nat).
% 111.66/111.82  ** KEPT (pick-wt=11): 11 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|B=c_List_Olist_ONil(A).
% 111.66/111.82  ** KEPT (pick-wt=11): 12 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|C=c_List_Olist_ONil(A).
% 111.66/111.82  ** KEPT (pick-wt=11): 13 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|A=c_List_Olist_ONil(C).
% 111.66/111.82  ** KEPT (pick-wt=11): 14 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 111.66/111.82  ** KEPT (pick-wt=7): 15 [] c_Message_Osynthp(A,c_Message_Omsg_OHash(B))| -c_Message_Osynthp(A,B).
% 111.66/111.82  ** KEPT (pick-wt=10): 16 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|B=D.
% 111.66/111.82  ** KEPT (pick-wt=10): 17 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|A=C.
% 111.66/111.82  ** KEPT (pick-wt=12): 18 [] -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).
% 111.66/111.82  ** KEPT (pick-wt=15): 19 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 111.66/111.82    Following clause subsumed by 19 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)).
% 111.66/111.82  ** KEPT (pick-wt=13): 20 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 111.66/111.82    Following clause subsumed by 20 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 111.66/111.82    Following clause subsumed by 20 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 111.66/111.82  ** KEPT (pick-wt=7): 21 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 111.66/111.82  ** KEPT (pick-wt=12): 22 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 111.66/111.82  ** KEPT (pick-wt=12): 23 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 111.66/111.82  ** KEPT (pick-wt=12): 24 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 111.66/111.82  ** KEPT (pick-wt=14): 25 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 111.66/111.82  ** KEPT (pick-wt=24): 26 [] -c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(A,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg).
% 111.66/111.82  ** KEPT (pick-wt=42): 27 [] c_in(A,c_Event_OinitState(B),tc_Message_Omsg)|c_in(c_Event_Oevent_ONotes(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|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| -c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg).
% 111.66/111.82  ** KEPT (pick-wt=34): 28 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oparts(B),tc_Message_Omsg)|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)| -c_in(D,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(D,C,tc_Message_Omsg))),tc_nat).
% 111.66/111.82  ** KEPT (pick-wt=10): 29 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(A),B,A)=c_Orderings_Otop__class_Otop(A).
% 111.66/111.82  ** KEPT (pick-wt=10): 30 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Otop__class_Otop(A).
% 111.66/111.82  ** KEPT (pick-wt=8): 31 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_ONumber(B)|A=B.
% 111.66/111.82  ** KEPT (pick-wt=9): 32 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(C,A,B),B).
% 111.66/111.82  ** KEPT (pick-wt=9): 33 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(A,C,B),B).
% 111.66/111.82  ** KEPT (pick-wt=13): 34 [] -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).
% 111.66/111.82  ** KEPT (pick-wt=5): 35 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONumber(B).
% 111.66/111.82  ** KEPT (pick-wt=16): 36 [] c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OpublicKey(A),C,tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,C,tc_Message_Oagent).
% 111.66/111.82  ** KEPT (pick-wt=16): 37 [] c_in(A,B,tc_Message_Oagent)| -c_in(hAPP(c_Public_OpublicKey(C),A),c_Set_Oimage(c_Public_OpublicKey(D),B,tc_Message_Oagent,tc_nat),tc_nat).
% 111.66/111.82  ** KEPT (pick-wt=15): 38 [] A=B| -c_in(hAPP(c_Public_OpublicKey(A),C),c_Set_Oimage(c_Public_OpublicKey(B),D,tc_Message_Oagent,tc_nat),tc_nat).
% 111.66/111.82  ** KEPT (pick-wt=12): 39 [] c_List_Oappend(A,B,C)!=c_List_Oappend(A,D,C)|B=D.
% 111.66/111.82  ** KEPT (pick-wt=12): 40 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,B,C)|A=D.
% 111.66/111.82  ** KEPT (pick-wt=6): 41 [] c_Message_Omsg_ONumber(A)!=c_Message_OHPair(B,C).
% 111.66/111.82  ** KEPT (pick-wt=8): 42 [] c_Message_OinvKey(A)!=c_Message_OinvKey(B)|A=B.
% 111.66/111.82  ** KEPT (pick-wt=15): 43 [] 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)).
% 111.66/111.82  ** KEPT (pick-wt=15): 44 [] 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)).
% 111.66/111.82  ** KEPT (pick-wt=20): 45 [] c_in(hAPP(A,B),C,D)| -c_in(B,E,F)| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 111.66/111.82  ** KEPT (pick-wt=10): 46 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 111.66/111.82  ** KEPT (pick-wt=11): 47 [] -c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat).
% 111.66/111.82  ** KEPT (pick-wt=8): 48 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 111.66/111.82  ** KEPT (pick-wt=12): 49 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|B=D.
% 111.66/111.82  ** KEPT (pick-wt=12): 50 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|A=C.
% 111.66/111.82  ** KEPT (pick-wt=13): 51 [] c_Message_OHPair(A,B)!=c_Message_Omsg_OMPair(C,D)|C=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)).
% 111.66/111.82  ** KEPT (pick-wt=10): 52 [] c_Message_OHPair(A,B)!=c_Message_OHPair(C,D)|B=D.
% 111.66/111.82  ** KEPT (pick-wt=10): 53 [] c_Message_OHPair(A,B)!=c_Message_OHPair(C,D)|A=C.
% 111.66/111.82  ** KEPT (pick-wt=5): 54 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OHash(B).
% 111.66/111.82  ** KEPT (pick-wt=17): 55 [] -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).
% 111.66/111.82  ** KEPT (pick-wt=17): 56 [] -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).
% 111.66/111.82  ** KEPT (pick-wt=17): 57 [] -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).
% 111.66/111.82  ** KEPT (pick-wt=17): 58 [] -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).
% 111.66/111.82  ** KEPT (pick-wt=10): 59 [] c_List_Olist_ONil(A)!=c_List_Oremdups(B,A)|B=c_List_Olist_ONil(A).
% 111.66/111.82  ** KEPT (pick-wt=23): 60 [] 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)).
% 111.66/111.82    Following clause subsumed by 60 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)).
% 111.66/111.82  ** KEPT (pick-wt=17): 61 [] -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).
% 111.66/111.82  ** KEPT (pick-wt=9): 62 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 111.66/111.82  ** KEPT (pick-wt=9): 63 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 111.66/111.82    Following clause subsumed by 61 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).
% 111.66/111.82    Following clause subsumed by 61 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).
% 111.66/111.82  ** KEPT (pick-wt=9): 64 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 111.66/111.82  ** KEPT (pick-wt=9): 65 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 111.66/111.82  ** KEPT (pick-wt=13): 66 [] c_in(A,B,C)| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 111.66/111.82  ** KEPT (pick-wt=11): 67 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 111.66/111.82  ** KEPT (pick-wt=20): 68 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -c_in(B,C,D).
% 111.66/111.82    Following clause subsumed by 43 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))|c_in(B,A,D).
% 111.66/111.82  ** KEPT (pick-wt=19): 69 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 111.66/111.82    Following clause subsumed by 43 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))|c_in(B,A,D).
% 111.66/111.82    Following clause subsumed by 69 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))|c_in(D,A,C).
% 111.66/111.82  ** KEPT (pick-wt=13): 70 [] c_Message_Omsg_OMPair(A,B)!=c_Message_OHPair(C,D)|A=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(C,D)).
% 111.66/111.82  ** KEPT (pick-wt=11): 71 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 111.66/111.82  ** KEPT (pick-wt=11): 72 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 111.66/111.82  ** KEPT (pick-wt=14): 73 [] -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).
% 111.66/111.82  ** KEPT (pick-wt=14): 74 [] -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).
% 111.66/111.82  ** KEPT (pick-wt=8): 75 [] c_List_Oremdups(A,B)!=A|c_List_Odistinct(A,B).
% 111.66/111.82  ** KEPT (pick-wt=8): 76 [] c_List_Oremdups(A,B)=A| -c_List_Odistinct(A,B).
% 111.66/111.82  ** KEPT (pick-wt=7): 77 [] -c_in(hAPP(c_Public_OpublicKey(A),B),c_Message_OsymKeys,tc_nat).
% 111.66/111.82  ** KEPT (pick-wt=11): 78 [] -c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat),tc_nat).
% 111.66/111.82  ** KEPT (pick-wt=16): 79 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 111.66/111.82  ** KEPT (pick-wt=18): 80 [] -c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg).
% 111.66/111.82  ** KEPT (pick-wt=11): 81 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 111.66/111.82    Following clause subsumed by 81 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 111.66/111.82  ** KEPT (pick-wt=14): 82 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 111.66/111.82    Following clause subsumed by 82 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 111.66/111.82  ** KEPT (pick-wt=14): 83 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 111.66/111.82  ** KEPT (pick-wt=14): 84 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 111.66/111.82  ** KEPT (pick-wt=6): 85 [] c_Message_Omsg_OHash(A)!=c_Message_OHPair(B,C).
% 111.66/111.82  ** KEPT (pick-wt=10): 86 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|B=D.
% 111.66/111.82  ** KEPT (pick-wt=10): 87 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|A=C.
% 111.66/111.82  ** KEPT (pick-wt=8): 88 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OHash(B)|A=B.
% 111.66/111.82  ** KEPT (pick-wt=28): 89 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=7): 90 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 111.66/111.83  ** KEPT (pick-wt=19): 91 [] 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))| -c_in(A,D,C).
% 111.66/111.83  ** KEPT (pick-wt=10): 92 [] c_List_Oremdups(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 111.66/111.83  ** KEPT (pick-wt=8): 93 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Message_OsymKeys,tc_nat).
% 111.66/111.83  ** KEPT (pick-wt=10): 94 [] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 111.66/111.83    Following clause subsumed by 94 during input processing: 0 [flip.1] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 111.66/111.83  ** KEPT (pick-wt=10): 95 [] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 111.66/111.83    Following clause subsumed by 95 during input processing: 0 [flip.1] c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 111.66/111.83  ** KEPT (pick-wt=7): 96 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 111.66/111.83  ** KEPT (pick-wt=13): 97 [] -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).
% 111.66/111.83  ** KEPT (pick-wt=13): 98 [] -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).
% 111.66/111.83  ** KEPT (pick-wt=13): 99 [] -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).
% 111.66/111.83  ** KEPT (pick-wt=13): 100 [] -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).
% 111.66/111.83    Following clause subsumed by 97 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).
% 111.66/111.83    Following clause subsumed by 98 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).
% 111.66/111.83  ** KEPT (pick-wt=17): 101 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=17): 102 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=14): 103 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 111.66/111.83  ** KEPT (pick-wt=14): 104 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 111.66/111.83  ** KEPT (pick-wt=18): 105 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=14): 106 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 111.66/111.83  ** KEPT (pick-wt=6): 107 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 111.66/111.83  ** KEPT (pick-wt=6): 108 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 111.66/111.83    Following clause subsumed by 106 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 111.66/111.83  ** KEPT (pick-wt=7): 109 [] c_Message_Osynthp(A,B)| -hBOOL(hAPP(A,B)).
% 111.66/111.83  ** KEPT (pick-wt=9): 110 [] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 111.66/111.83  ** KEPT (pick-wt=21): 111 [] 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))| -c_in(A,C,tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=20): 112 [] 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)).
% 111.66/111.83    Following clause subsumed by 112 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)).
% 111.66/111.83  ** KEPT (pick-wt=18): 113 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=20): 114 [] c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)!=c_List_Oappend(D,c_List_Olist_OCons(E,c_List_Olist_ONil(C),C),C)|A=D.
% 111.66/111.83  ** KEPT (pick-wt=20): 115 [] c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)!=c_List_Oappend(D,c_List_Olist_OCons(E,c_List_Olist_ONil(C),C),C)|B=E.
% 111.66/111.83  ** KEPT (pick-wt=17): 116 [] c_in(A,c_List_Olists(B,C),tc_List_Olist(C))| -c_in(c_List_Oappend(A,D,C),c_List_Olists(B,C),tc_List_Olist(C)).
% 111.66/111.83  ** KEPT (pick-wt=17): 117 [] c_in(A,c_List_Olists(B,C),tc_List_Olist(C))| -c_in(c_List_Oappend(D,A,C),c_List_Olists(B,C),tc_List_Olist(C)).
% 111.66/111.83  ** KEPT (pick-wt=9): 118 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 111.66/111.83  ** KEPT (pick-wt=34): 119 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=10): 120 [] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 111.66/111.83  ** KEPT (pick-wt=10): 121 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 111.66/111.83  ** KEPT (pick-wt=23): 123 [copy,122,factor_simp] 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)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83    Following clause subsumed by 123 during input processing: 0 [factor_simp] 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)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=13): 124 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(C,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=12): 125 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Event_Oused(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=12): 126 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Event_Oused(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=20): 127 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(C),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=17): 128 [] 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))| -c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=13): 129 [] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oparts(B)| -c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=13): 130 [] c_in(A,c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=13): 131 [] c_in(A,c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=15): 132 [] c_in(A,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=13): 133 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=18): 134 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(C,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=17): 135 [] 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))| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=26): 136 [] 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)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=23): 137 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(C,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=28): 138 [] c_in(c_Message_OHPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.66/111.83    Following clause subsumed by 82 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 111.66/111.83    Following clause subsumed by 82 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 111.66/111.83  ** KEPT (pick-wt=13): 139 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,B,D).
% 111.66/111.83  ** KEPT (pick-wt=13): 140 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D).
% 111.66/111.83  ** KEPT (pick-wt=14): 141 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C).
% 111.66/111.83  ** KEPT (pick-wt=17): 142 [] c_in(A,B,C)|c_in(A,D,C)| -c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C).
% 111.66/111.83  ** KEPT (pick-wt=20): 143 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D.
% 111.66/111.83  ** KEPT (pick-wt=10): 144 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C).
% 111.66/111.83  ** KEPT (pick-wt=14): 145 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 111.66/111.83    Following clause subsumed by 145 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 111.66/111.83    Following clause subsumed by 145 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 111.66/111.83    Following clause subsumed by 145 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 111.66/111.83  ** KEPT (pick-wt=7): 146 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 111.66/111.83  ** KEPT (pick-wt=7): 147 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 111.66/111.83    Following clause subsumed by 147 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 111.66/111.83  ** KEPT (pick-wt=9): 148 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Olist_OCons(C,A,B),B).
% 111.66/111.83  ** KEPT (pick-wt=11): 149 [] c_Message_Osynthp(A,c_Message_Omsg_OMPair(B,C))| -c_Message_Osynthp(A,C)| -c_Message_Osynthp(A,B).
% 111.66/111.83  ** KEPT (pick-wt=6): 150 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 111.66/111.83  ** KEPT (pick-wt=6): 151 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONumber(C).
% 111.66/111.83  ** KEPT (pick-wt=10): 152 [] c_Message_OHPair(A,B)!=c_Message_Omsg_OMPair(C,D)|D=B.
% 111.66/111.83  ** KEPT (pick-wt=6): 153 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83  ** KEPT (pick-wt=6): 154 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83  ** KEPT (pick-wt=10): 155 [] c_Message_Omsg_OMPair(A,B)!=c_Message_OHPair(C,D)|B=D.
% 111.66/111.83  ** KEPT (pick-wt=23): 156 [] c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(D,c_Message_Oparts(C),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Set_Oinsert(D,B,tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=11): 157 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=8): 158 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.66/111.83    Following clause subsumed by 145 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 111.66/111.83  ** KEPT (pick-wt=14): 159 [] c_in(A,B,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=9): 160 [] -c_in(c_Message_Omsg_OHash(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=14): 161 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=15): 162 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=15): 163 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=19): 164 [] 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))| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=20): 166 [copy,165,factor_simp] 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)| -c_in(A,B,tc_nat).
% 111.66/111.83    Following clause subsumed by 166 during input processing: 0 [factor_simp] 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)| -c_in(A,B,tc_nat).
% 111.66/111.83    Following clause subsumed by 132 during input processing: 0 [] 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)| -c_in(A,B,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83    Following clause subsumed by 132 during input processing: 0 [] 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)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 111.66/111.83  ** KEPT (pick-wt=6): 167 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83  ** KEPT (pick-wt=7): 168 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_OHPair(C,D).
% 111.66/111.83  ** KEPT (pick-wt=6): 169 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONumber(C).
% 111.66/111.83  ** KEPT (pick-wt=6): 170 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83  ** KEPT (pick-wt=6): 171 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 111.66/111.83  ** KEPT (pick-wt=29): 172 [] 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))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=6): 173 [] c_Message_Omsg_ONumber(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.66/111.83  ** KEPT (pick-wt=6): 174 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONumber(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 175 [] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.66/111.83  ** KEPT (pick-wt=7): 176 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_OHPair(B,C).
% 111.66/111.83  ** KEPT (pick-wt=6): 177 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 111.66/111.83  ** KEPT (pick-wt=16): 178 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=14): 179 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=15): 180 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=15): 181 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=25): 182 [] 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))).
% 111.66/111.83  ** KEPT (pick-wt=7): 183 [] -c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=14): 184 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=15): 185 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=15): 186 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=6): 187 [] c_Message_Omsg_OAgent(A)!=c_Message_OHPair(B,C).
% 111.66/111.83  ** KEPT (pick-wt=5): 188 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 111.66/111.83  ** KEPT (pick-wt=5): 189 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONumber(B).
% 111.66/111.83  ** KEPT (pick-wt=5): 190 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OAgent(B).
% 111.66/111.83  ** KEPT (pick-wt=5): 191 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 111.66/111.83  ** KEPT (pick-wt=5): 192 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 111.66/111.83  ** KEPT (pick-wt=5): 193 [] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_ONonce(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 194 [] c_Message_Omsg_ONonce(A)!=c_Message_OHPair(B,C).
% 111.66/111.83  ** KEPT (pick-wt=5): 195 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONumber(B).
% 111.66/111.83  ** KEPT (pick-wt=5): 196 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 111.66/111.83  ** KEPT (pick-wt=8): 197 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 111.66/111.83  ** KEPT (pick-wt=8): 198 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 111.66/111.83  ** KEPT (pick-wt=8): 199 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 111.66/111.83  ** KEPT (pick-wt=8): 200 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 111.66/111.83  ** KEPT (pick-wt=8): 201 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 111.66/111.83  ** KEPT (pick-wt=8): 202 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 111.66/111.83    Following clause subsumed by 145 during input processing: 0 [] c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat),tc_nat)| -c_in(A,B,tc_Message_Oagent).
% 111.66/111.83  ** KEPT (pick-wt=14): 203 [] c_in(A,B,tc_Message_Oagent)| -c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat),tc_nat).
% 111.66/111.83  ** KEPT (pick-wt=29): 204 [] 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))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=29): 205 [] 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))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=24): 206 [] 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))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=22): 207 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(c_Message_OHPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=26): 208 [] 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)| -c_in(C,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=16): 209 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=18): 210 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(C,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=17): 211 [] 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))| -c_in(A,c_Message_Osynth(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=11): 212 [] c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=14): 213 [] c_Message_Osynthp(A,c_Message_Omsg_OCrypt(B,C))| -hBOOL(hAPP(A,hAPP(c_Message_Omsg_OKey,B)))| -c_Message_Osynthp(A,C).
% 111.66/111.83  ** KEPT (pick-wt=29): 214 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(B),tc_Message_Omsg)| -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))| -c_in(C,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg).
% 111.66/111.83    Following clause subsumed by 131 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -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))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=16): 215 [] 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)).
% 111.66/111.83  ** KEPT (pick-wt=30): 216 [] c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=42): 217 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|A=C| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,C),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)),tc_Message_Omsg)|c_in(C,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83    Following clause subsumed by 131 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)|c_in(B,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=19): 218 [] 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)| -c_in(A,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.83  ** KEPT (pick-wt=15): 219 [] c_List_Odistinct(c_List_Olist_OCons(A,B,C),C)| -c_List_Odistinct(B,C)|c_in(A,c_List_Oset(B,C),C).
% 111.66/111.83  ** KEPT (pick-wt=12): 220 [] -c_in(A,c_List_Oset(B,C),C)| -c_List_Odistinct(c_List_Olist_OCons(A,B,C),C).
% 111.66/111.83  ** KEPT (pick-wt=16): 221 [] c_List_Olength__unique(c_List_Olist_OCons(A,B,C),C)=c_List_Olength__unique(B,C)| -c_in(A,c_List_Oset(B,C),C).
% 111.66/111.83  ** KEPT (pick-wt=21): 222 [] c_List_Olist__inter(c_List_Olist_OCons(A,B,C),D,C)=c_List_Olist_OCons(A,c_List_Olist__inter(B,D,C),C)| -c_in(A,c_List_Oset(D,C),C).
% 111.66/111.83  ** KEPT (pick-wt=16): 223 [] c_List_Oremdups(c_List_Olist_OCons(A,B,C),C)=c_List_Oremdups(B,C)| -c_in(A,c_List_Oset(B,C),C).
% 111.66/111.83  ** KEPT (pick-wt=41): 224 [] 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))| -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)| -c_in(C,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(E).
% 111.66/111.83  ** KEPT (pick-wt=8): 225 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=17): 226 [] c_in(A,B,C)| -c_in(A,c_List_Oset(D,C),C)| -c_in(D,c_List_Olists(B,C),tc_List_Olist(C)).
% 111.66/111.83  ** KEPT (pick-wt=10): 227 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Set_Oimage(c_Message_Omsg_OKey,C,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=7): 228 [] -c_in(c_Message_Omsg_ONonce(A),c_Message_Oparts(c_Event_OinitState(B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=16): 229 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(B))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=20): 230 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_OHPair(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)|c_in(C,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=9): 231 [] -c_in(c_Message_Omsg_ONonce(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=60): 232 [] 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))| -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)| -c_in(D,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(E).
% 111.66/111.83  ** KEPT (pick-wt=16): 233 [] 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)| -c_in(B,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.83  ** KEPT (pick-wt=55): 234 [] 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))| -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)| -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)| -c_in(C,c_Message_OsymKeys,tc_nat)| -c_NS__Shared__Mirabelle_Ons__sharedp(E).
% 111.66/111.83  ** KEPT (pick-wt=23): 235 [] 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))|c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(D).
% 111.66/111.83  ** KEPT (pick-wt=36): 236 [] -c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),G))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=20): 237 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(C)),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=23): 238 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=23): 239 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=12): 240 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=14): 241 [] c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=14): 242 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=40): 243 [] -c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(C,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=47): 244 [] 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))| -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)| -c_in(C,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=66): 245 [] 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))| -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)| -c_in(D,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=29): 246 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(C)),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=29): 247 [] c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=19): 248 [] -c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|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).
% 111.66/111.83  ** KEPT (pick-wt=19): 249 [] -c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|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).
% 111.66/111.83  ** KEPT (pick-wt=46): 250 [] c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(C,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(D,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(G),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),A))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=17): 251 [] c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)| -c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|B=c_Message_Oagent_OSpy.
% 111.66/111.83  ** KEPT (pick-wt=52): 252 [] 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))| -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)| -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)| -c_NS__Shared__Mirabelle_Ons__sharedp(D).
% 111.66/111.83  ** KEPT (pick-wt=61): 253 [] 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))| -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)| -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)| -c_in(C,c_Message_OsymKeys,tc_nat)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=18): 254 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(C).
% 111.66/111.83  ** KEPT (pick-wt=18): 255 [] c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)| -c_in(C,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Event_Oevent_ONotes(C,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=59): 256 [] -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(C,c_Event_Obad,tc_Message_Oagent)|c_in(D,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(A,E,B),hAPP(c_Message_Omsg_OKey,A)))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,D,c_Message_Omsg_OCrypt(F,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),G))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=72): 257 [] c_in(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(A,c_Event_Obad,tc_Message_Oagent)|c_in(B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(C,F,E),hAPP(c_Message_Omsg_OKey,C)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=70): 258 [] -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(A,C,B),hAPP(c_Message_Omsg_OKey,A)))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(D,c_Event_Obad,tc_Message_Oagent)|c_in(E,c_Event_Obad,tc_Message_Oagent)| -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,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,D),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),c_Message_Omsg_OAgent(E)))))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=29): 259 [] 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))|c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg)| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=52): 260 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))| -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)| -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| -c_NS__Shared__Mirabelle_Ons__sharedp(D).
% 111.66/111.83  ** KEPT (pick-wt=58): 261 [] 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))| -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)| -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)| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=58): 262 [] c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(A,B,C),A,B),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,F,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,F),c_Message_Omsg_OMPair(G,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),B))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=60): 263 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(A,B,C,D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(A)))))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(B,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=14): 264 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=14): 265 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=15): 266 [] c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(B,D,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=8): 267 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OAgent(B)|A=B.
% 111.66/111.83  ** KEPT (pick-wt=12): 268 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=12): 269 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=12): 270 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=12): 271 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oparts(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=12): 272 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 111.66/111.83  ** KEPT (pick-wt=12): 273 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 111.66/111.83  ** KEPT (pick-wt=6): 274 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 111.66/111.83  ** KEPT (pick-wt=6): 275 [] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.66/111.83  ** KEPT (pick-wt=6): 276 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 111.66/111.83  ** KEPT (pick-wt=12): 277 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|A=D.
% 111.66/111.83  ** KEPT (pick-wt=12): 278 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|B=E.
% 111.66/111.83  ** KEPT (pick-wt=12): 279 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|C=F.
% 111.66/111.83  ** KEPT (pick-wt=9): 280 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=9): 281 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=16): 282 [] c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=17): 283 [] c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(C),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=15): 284 [] c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=24): 285 [] 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))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg)| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=24): 286 [] c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -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).
% 111.66/111.83  ** KEPT (pick-wt=7): 287 [] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 111.66/111.83  ** KEPT (pick-wt=6): 288 [] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.66/111.83  ** KEPT (pick-wt=6): 289 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 111.66/111.83  ** KEPT (pick-wt=58): 290 [] c_in(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)|c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=30): 291 [] A=hAPP(c_Public_OshrK,B)| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OCrypt(A,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),G))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=13): 292 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=13): 293 [] c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=5): 294 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 111.66/111.83  ** KEPT (pick-wt=12): 295 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=23): 296 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,C)),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=20): 297 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=20): 298 [] c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=3): 300 [copy,299,flip.1] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 111.66/111.83  ** KEPT (pick-wt=16): 301 [] c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=11): 302 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Message_Oparts(B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=18): 303 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(C,A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=18): 304 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(A,C),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=52): 305 [] A=B| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),G))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),J))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=52): 306 [] A=B| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,D,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,D),c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),G))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,H),c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),J))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=52): 307 [] A=B| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,D,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,D),c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),G))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,H),c_Message_Omsg_OMPair(I,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),J))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=52): 308 [] A=B| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,D,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,D),c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),B))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,H),c_Message_Omsg_OMPair(I,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(J),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),A))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=41): 309 [] A=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(D)))| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(D,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,D),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=10): 310 [] hAPP(c_Message_Omsg_OKey,A)!=hAPP(c_Message_Omsg_OKey,B)|A=B.
% 111.66/111.83  ** KEPT (pick-wt=6): 311 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83  ** KEPT (pick-wt=14): 312 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)| -c_in(A,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.83    Following clause subsumed by 283 during input processing: 0 [] c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=26): 313 [] c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -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).
% 111.66/111.83  ** KEPT (pick-wt=6): 314 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83  ** KEPT (pick-wt=6): 315 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83  ** KEPT (pick-wt=7): 316 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 111.66/111.83  ** KEPT (pick-wt=6): 317 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 111.66/111.83  ** KEPT (pick-wt=6): 318 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 111.66/111.83  ** KEPT (pick-wt=20): 319 [] c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=20): 320 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=11): 321 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=8): 322 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONonce(B)|A=B.
% 111.66/111.83  ** KEPT (pick-wt=8): 323 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)).
% 111.66/111.83  ** KEPT (pick-wt=8): 324 [] hBOOL(hAPP(A,B))| -c_in(B,A,C).
% 111.66/111.83  ** KEPT (pick-wt=6): 325 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83  ** KEPT (pick-wt=10): 326 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|A=C.
% 111.66/111.83  ** KEPT (pick-wt=10): 327 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|B=D.
% 111.66/111.83  ** KEPT (pick-wt=47): 328 [] c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|A=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(E)))| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),A))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=18): 329 [] c_in(A,c_List_Oset(B,C),C)|A=D| -c_in(A,c_List_Oset(c_List_Olist_OCons(D,B,C),C),C).
% 111.66/111.83  ** KEPT (pick-wt=51): 330 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),E))))),c_List_Oset(F,tc_Event_Oevent),tc_Event_Oevent)| -c_in(F,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),E)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,F)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=5): 331 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 111.66/111.83  ** KEPT (pick-wt=10): 332 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|A=C.
% 111.66/111.83  ** KEPT (pick-wt=10): 333 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|B=D.
% 111.66/111.83  ** KEPT (pick-wt=22): 334 [] c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(C,c_Event_Obad,tc_Message_Oagent)| -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).
% 111.66/111.83    Following clause subsumed by 300 during input processing: 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 111.66/111.83  ** KEPT (pick-wt=9): 335 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=6): 336 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 111.66/111.83  ** KEPT (pick-wt=7): 337 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 111.66/111.83  ** KEPT (pick-wt=37): 338 [] A=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(D)))| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,D,c_Message_Omsg_OCrypt(F,c_Message_Omsg_OMPair(G,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),A))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=7): 339 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83    Following clause subsumed by 335 during input processing: 0 [] c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=19): 340 [] c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg).
% 111.66/111.83    Following clause subsumed by 340 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,C),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=11): 341 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Message_Osynth(B)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=18): 342 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(C,A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=58): 343 [] 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))| -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)| -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| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.83  ** KEPT (pick-wt=4): 344 [] -c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.83  ** KEPT (pick-wt=6): 345 [] c_List_Olist_OCons(A,B,C)!=B.
% 111.66/111.83    Following clause subsumed by 345 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 111.66/111.83  ** KEPT (pick-wt=20): 346 [] -c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|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).
% 111.66/111.83  ** KEPT (pick-wt=7): 347 [] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 111.66/111.83    Following clause subsumed by 335 during input processing: 0 [] c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=11): 348 [] c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.83    Following clause subsumed by 348 during input processing: 0 [] c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=18): 349 [] c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg)| -c_in(B,c_Message_Osynth(C),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=7): 350 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83  ** KEPT (pick-wt=10): 351 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OshrK,B)|A=B.
% 111.66/111.83  ** KEPT (pick-wt=10): 352 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 111.66/111.83    Following clause subsumed by 352 during input processing: 0 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 111.66/111.83    Following clause subsumed by 352 during input processing: 0 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=4): 353 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.83  ** KEPT (pick-wt=15): 354 [] -c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=21): 355 [] -c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.83  ** KEPT (pick-wt=68): 356 [] c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)|c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).
% 111.66/111.83  ** KEPT (pick-wt=6): 357 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 358 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 359 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 360 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 361 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 362 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 363 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 111.66/111.83  ** KEPT (pick-wt=7): 364 [] A=B| -c_fe_qual(A,B,C).
% 111.66/111.83    Following clause subsumed by 96 during input processing: 0 [copy,21,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 111.66/111.83    Following clause subsumed by 54 during input processing: 0 [copy,35,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OHash(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 369 [copy,41,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_ONumber(C).
% 111.66/111.83    Following clause subsumed by 120 during input processing: 0 [copy,46,flip.1] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 111.66/111.83    Following clause subsumed by 35 during input processing: 0 [copy,54,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONumber(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 372 [copy,85,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_OHash(C).
% 111.66/111.83    Following clause subsumed by 21 during input processing: 0 [copy,96,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 111.66/111.83    Following clause subsumed by 118 during input processing: 0 [copy,110,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 111.66/111.83    Following clause subsumed by 110 during input processing: 0 [copy,118,flip.1] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 111.66/111.83    Following clause subsumed by 46 during input processing: 0 [copy,120,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 111.66/111.83  132 back subsumes 123.
% 111.66/111.83  145 back subsumes 36.
% 111.66/111.83    Following clause subsumed by 147 during input processing: 0 [copy,146,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 111.66/111.83    Following clause subsumed by 146 during input processing: 0 [copy,147,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 111.66/111.83    Following clause subsumed by 153 during input processing: 0 [copy,150,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83    Following clause subsumed by 154 during input processing: 0 [copy,151,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83    Following clause subsumed by 150 during input processing: 0 [copy,153,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 111.66/111.83    Following clause subsumed by 151 during input processing: 0 [copy,154,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONumber(C).
% 111.66/111.83    Following clause subsumed by 169 during input processing: 0 [copy,167,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONumber(C).
% 111.66/111.83  ** KEPT (pick-wt=7): 381 [copy,168,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 111.66/111.83    Following clause subsumed by 167 during input processing: 0 [copy,169,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83    Following clause subsumed by 171 during input processing: 0 [copy,170,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 111.66/111.83    Following clause subsumed by 170 during input processing: 0 [copy,171,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83    Following clause subsumed by 174 during input processing: 0 [copy,173,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONumber(B).
% 111.66/111.83    Following clause subsumed by 173 during input processing: 0 [copy,174,flip.1] c_Message_Omsg_ONumber(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.66/111.83    Following clause subsumed by 177 during input processing: 0 [copy,175,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 111.66/111.83  ** KEPT (pick-wt=7): 382 [copy,176,flip.1] c_Message_OHPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 111.66/111.83    Following clause subsumed by 175 during input processing: 0 [copy,177,flip.1] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.66/111.83  ** KEPT (pick-wt=6): 384 [copy,187,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_OAgent(C).
% 111.66/111.83    Following clause subsumed by 191 during input processing: 0 [copy,188,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 111.66/111.83    Following clause subsumed by 190 during input processing: 0 [copy,189,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_OAgent(B).
% 111.66/111.83    Following clause subsumed by 189 during input processing: 0 [copy,190,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONumber(B).
% 111.66/111.83    Following clause subsumed by 188 during input processing: 0 [copy,191,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 111.66/111.83    Following clause subsumed by 196 during input processing: 0 [copy,192,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 111.66/111.83    Following clause subsumed by 195 during input processing: 0 [copy,193,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONumber(B).
% 111.66/111.83  ** KEPT (pick-wt=6): 385 [copy,194,flip.1] c_Message_OHPair(A,B)!=c_Message_Omsg_ONonce(C).
% 111.66/111.83    Following clause subsumed by 193 during input processing: 0 [copy,195,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_Omsg_ONonce(B).
% 111.66/111.83    Following clause subsumed by 192 during input processing: 0 [copy,196,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 111.66/111.83    Following clause subsumed by 199 during input processing: 0 [copy,197,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 111.66/111.83    Following clause subsumed by 200 during input processing: 0 [copy,198,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 111.66/111.83    Following clause subsumed by 197 during input processing: 0 [copy,199,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 111.66/111.83    Following clause subsumed by 198 during input processing: 0 [copy,200,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 111.66/111.83    Following clause subsumed by 202 during input processing: 0 [copy,201,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 111.66/111.83    Following clause subsumed by 201 during input processing: 0 [copy,202,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 111.66/111.83    Following clause subsumed by 325 during input processing: 0 [copy,274,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83    Following clause subsumed by 318 during input processing: 0 [copy,275,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 111.66/111.83    Following clause subsumed by 288 during input processing: 0 [copy,276,flip.1] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.66/111.83    Following clause subsumed by 350 during input processing: 0 [copy,287,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83    Following clause subsumed by 276 during input processing: 0 [copy,288,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 111.66/111.83    Following clause subsumed by 311 during input processing: 0 [copy,289,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83    Following clause subsumed by 331 during input processing: 0 [copy,294,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 111.66/111.83    Following clause subsumed by 289 during input processing: 0 [copy,311,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 111.66/111.83    Following clause subsumed by 317 during input processing: 0 [copy,314,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 111.66/111.83    Following clause subsumed by 336 during input processing: 0 [copy,315,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 111.66/111.83    Following clause subsumed by 337 during input processing: 0 [copy,316,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 111.66/111.83    Following clause subsumed by 314 during input processing: 0 [copy,317,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.66/111.83    Following clause subsumed by 275 during input processing: 0 [copy,318,flip.1] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.66/111.83    Following clause subsumed by 274 during input processing: 0 [copy,325,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 111.66/111.83    Following clause subsumed by 294 during input processing: 0 [copy,331,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 111.66/111.83  335 back subsumes 292.
% 111.66/111.83  335 back subsumes 239.
% 111.66/111.83    Following clause subsumed by 315 during input processing: 0 [copy,336,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83    Following clause subsumed by 316 during input processing: 0 [copy,337,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 111.66/111.83    Following clause subsumed by 347 during input processing: 0 [copy,339,flip.1] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 111.66/111.83    Following clause subsumed by 339 during input processing: 0 [copy,347,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 111.66/111.83  349 back subsumes 247.
% 111.66/111.83    Following clause subsumed by 287 during input processing: 0 [copy,350,flip.1] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 111.66/111.83    Following clause subsumed by 41 during input processing: 0 [copy,369,flip.1] c_Message_Omsg_ONumber(A)!=c_Message_OHPair(B,C).
% 111.66/111.83    Following clause subsumed by 85 during input processing: 0 [copy,372,flip.1] c_Message_Omsg_OHash(A)!=c_Message_OHPair(B,C).
% 111.66/111.83    Following clause subsumed by 168 during input processing: 0 [copy,381,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_OHPair(C,D).
% 111.66/111.83    Following clause subsumed by 176 during input processing: 0 [copy,382,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_OHPair(B,C).
% 111.66/111.83    Following clause subsumed by 187 during input processing: 0 [copy,384,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_OHPair(B,C).
% 111.66/111.83    Following clause subsumed by 194 during input processing: 0 [copy,385,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_OHPair(B,C).
% 111.66/111.83  
% 111.66/111.83  ------------> process sos:
% 111.66/111.83  ** KEPT (pick-wt=3): 395 [] A=A.
% 111.66/111.83  ** KEPT (pick-wt=21): 396 [] 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)|c_in(A,c_Message_OkeysFor(c_Message_Oanalz(B)),tc_nat).
% 111.66/111.83  ** KEPT (pick-wt=10): 397 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 111.66/111.83  ---> New Demodulator: 398 [new_demod,397] c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 111.66/111.83  ** KEPT (pick-wt=9): 399 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ---> New Demodulator: 400 [new_demod,399] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ** KEPT (pick-wt=10): 401 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ---> New Demodulator: 402 [new_demod,401] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ** KEPT (pick-wt=9): 403 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ---> New Demodulator: 404 [new_demod,403] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ** KEPT (pick-wt=9): 405 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ---> New Demodulator: 406 [new_demod,405] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ** KEPT (pick-wt=9): 407 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ---> New Demodulator: 408 [new_demod,407] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.66/111.84  ** KEPT (pick-wt=10): 409 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 111.66/111.84  ---> New Demodulator: 410 [new_demod,409] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 111.66/111.84  ** KEPT (pick-wt=19): 411 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=13): 412 [] 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).
% 111.66/111.84  ---> New Demodulator: 413 [new_demod,412] 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).
% 111.66/111.84  ** KEPT (pick-wt=9): 414 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=14): 415 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=21): 416 [] 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).
% 111.66/111.84  ** KEPT (pick-wt=7): 417 [] c_List_Oremdups(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 111.66/111.84  ---> New Demodulator: 418 [new_demod,417] c_List_Oremdups(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 111.66/111.84  ** KEPT (pick-wt=24): 419 [] 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).
% 111.66/111.84  ---> New Demodulator: 420 [new_demod,419] 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).
% 111.66/111.84  ** KEPT (pick-wt=3): 421 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)).
% 111.66/111.84  ** KEPT (pick-wt=19): 422 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=7): 423 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)).
% 111.66/111.84  ** KEPT (pick-wt=13): 424 [] 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).
% 111.66/111.84  ---> New Demodulator: 425 [new_demod,424] 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).
% 111.66/111.84  ** KEPT (pick-wt=12): 426 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 111.66/111.84  ---> New Demodulator: 427 [new_demod,426] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 111.66/111.84  ** KEPT (pick-wt=14): 428 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 111.66/111.84  ---> New Demodulator: 429 [new_demod,428] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=14): 430 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 111.66/111.84  ---> New Demodulator: 431 [new_demod,430] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=8): 432 [] c_List_Olist__inter(c_List_Olist_ONil(A),B,A)=c_List_Olist_ONil(A).
% 111.66/111.84  ---> New Demodulator: 433 [new_demod,432] c_List_Olist__inter(c_List_Olist_ONil(A),B,A)=c_List_Olist_ONil(A).
% 111.66/111.84  ** KEPT (pick-wt=9): 434 [] c_lesse_quals(c_Event_OinitState(A),c_Event_Oknows(A,B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=7): 436 [copy,435,flip.1] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 111.66/111.84  ---> New Demodulator: 437 [new_demod,436] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,437] B=B.
% 111.66/111.84  ** KEPT (pick-wt=7): 439 [copy,438,flip.1] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 111.66/111.84  ---> New Demodulator: 440 [new_demod,439] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,437] A=A.
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,440] A=A.
% 111.66/111.84  ** KEPT (pick-wt=19): 442 [copy,441,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(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 111.66/111.84  ---> New Demodulator: 443 [new_demod,442] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=19): 445 [copy,444,demod,443] 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)).
% 111.66/111.84  ** KEPT (pick-wt=9): 446 [] c_lesse_quals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=8): 447 [] c_in(c_List_Olist_ONil(A),c_List_Olists(B,A),tc_List_Olist(A)).
% 111.66/111.84  ** KEPT (pick-wt=21): 448 [] 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).
% 111.66/111.84  ** KEPT (pick-wt=13): 449 [] 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).
% 111.66/111.84  ---> New Demodulator: 450 [new_demod,449] 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).
% 111.66/111.84  ** KEPT (pick-wt=8): 451 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 111.66/111.84  ---> New Demodulator: 452 [new_demod,451] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 111.66/111.84  ** KEPT (pick-wt=19): 453 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=24): 454 [] 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).
% 111.66/111.84  ** KEPT (pick-wt=15): 455 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 111.66/111.84  ** KEPT (pick-wt=19): 456 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=13): 457 [] c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D).
% 111.66/111.84  ** KEPT (pick-wt=11): 458 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_OinitState(B),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=23): 459 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=23): 460 [] 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)).
% 111.66/111.84  ---> New Demodulator: 461 [new_demod,460] 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)).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,461] 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)).
% 111.66/111.84  ** KEPT (pick-wt=11): 462 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=11): 463 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=10): 465 [copy,464,flip.1] c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),B)=c_Message_OHPair(A,B).
% 111.66/111.84  ---> New Demodulator: 466 [new_demod,465] c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),B)=c_Message_OHPair(A,B).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,466] c_Message_OHPair(A,B)=c_Message_OHPair(A,B).
% 111.66/111.84  ** KEPT (pick-wt=13): 467 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=18): 468 [] 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)).
% 111.66/111.84  ---> New Demodulator: 469 [new_demod,468] 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)).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,466] c_Message_OHPair(A,B)=c_Message_OHPair(A,B).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,437] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,440] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 111.66/111.84  ** KEPT (pick-wt=13): 470 [] 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).
% 111.66/111.84  ---> New Demodulator: 471 [new_demod,470] 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).
% 111.66/111.84  ** KEPT (pick-wt=19): 472 [] 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).
% 111.66/111.84  ---> New Demodulator: 473 [new_demod,472] 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).
% 111.66/111.84  ** KEPT (pick-wt=11): 474 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_Oused(C),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=17): 475 [] c_List_Oset(c_List_Oappend(A,B,C),C)=c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(A,C),c_List_Oset(B,C),tc_fun(C,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=14): 476 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=4): 477 [] c_List_Odistinct(c_List_Olist_ONil(A),A).
% 111.66/111.84    Following clause subsumed by 455 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).
% 111.66/111.84  ** KEPT (pick-wt=25): 478 [] 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).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,473] c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 111.66/111.84  ** KEPT (pick-wt=9): 479 [] c_lesse_quals(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=4): 480 [] c_Message_Osynthp(A,c_Message_Omsg_ONumber(B)).
% 111.66/111.84  ** KEPT (pick-wt=7): 481 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 111.66/111.84  ** KEPT (pick-wt=5): 482 [] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 111.66/111.84  ---> New Demodulator: 483 [new_demod,482] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,437] c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 111.66/111.84  ** KEPT (pick-wt=5): 484 [] c_List_Odistinct(c_List_Oremdups(A,B),B).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,418] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 111.66/111.84  ** KEPT (pick-wt=7): 485 [] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 111.66/111.84  ** KEPT (pick-wt=6): 486 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 111.66/111.84    Following clause subsumed by 486 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=10): 487 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 111.66/111.84  ---> New Demodulator: 488 [new_demod,487] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,440] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 111.66/111.84  ** KEPT (pick-wt=25): 489 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=14): 490 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=15): 491 [] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 111.66/111.84  ---> New Demodulator: 492 [new_demod,491] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,492] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,492] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,492] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 111.66/111.84    Following clause subsumed by 455 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).
% 111.66/111.84  ** KEPT (pick-wt=6): 493 [] c_in(hAPP(c_Public_OshrK,A),c_Message_OsymKeys,tc_nat).
% 111.66/111.84  ** KEPT (pick-wt=10): 494 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=15): 495 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=15): 496 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=18): 497 [] 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.
% 111.66/111.84  ** KEPT (pick-wt=13): 498 [] c_lesse_quals(c_List_Oset(A,B),c_List_Oset(c_List_Olist_OCons(C,A,B),B),tc_fun(B,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=13): 499 [] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 111.66/111.84  ---> New Demodulator: 500 [new_demod,499] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 111.66/111.84  ** KEPT (pick-wt=21): 501 [] 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).
% 111.66/111.84  ---> New Demodulator: 502 [new_demod,501] 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).
% 111.66/111.84    Following clause subsumed by 455 during input processing: 0 [] 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).
% 111.66/111.84    Following clause subsumed by 455 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).
% 111.66/111.84  ** KEPT (pick-wt=21): 503 [] 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).
% 111.66/111.84  ---> New Demodulator: 504 [new_demod,503] 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).
% 111.66/111.84  ** KEPT (pick-wt=18): 505 [] 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).
% 111.66/111.84  ---> New Demodulator: 506 [new_demod,505] 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).
% 111.66/111.84  ** KEPT (pick-wt=23): 507 [] 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)|c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=7): 508 [] c_in(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B).
% 111.66/111.84  ** KEPT (pick-wt=7): 509 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 111.66/111.84    Following clause subsumed by 509 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 111.66/111.84    Following clause subsumed by 509 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 111.66/111.84  ** KEPT (pick-wt=15): 511 [copy,510,flip.1] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 111.66/111.84  ---> New Demodulator: 512 [new_demod,511] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,512] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,512] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [demod,512] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 111.66/111.84  ** KEPT (pick-wt=9): 513 [] c_List_Oset(c_List_Oremdups(A,B),B)=c_List_Oset(A,B).
% 111.66/111.84  ---> New Demodulator: 514 [new_demod,513] c_List_Oset(c_List_Oremdups(A,B),B)=c_List_Oset(A,B).
% 111.66/111.84  ** KEPT (pick-wt=10): 515 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oused(C),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=10): 516 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_OinitState(C),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=16): 517 [] 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)).
% 111.66/111.84  ---> New Demodulator: 518 [new_demod,517] 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)).
% 111.66/111.84  ** KEPT (pick-wt=7): 519 [] c_lesse_quals(A,c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=21): 520 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=7): 521 [] c_lesse_quals(A,c_Message_Oanalz(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=16): 522 [] 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))).
% 111.66/111.84  ---> New Demodulator: 523 [new_demod,522] 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))).
% 111.66/111.84  ** KEPT (pick-wt=7): 524 [] c_lesse_quals(A,c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=4): 525 [] c_Message_Osynthp(A,c_Message_Omsg_OAgent(B)).
% 111.66/111.84  ** KEPT (pick-wt=8): 526 [] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 111.66/111.84  ---> New Demodulator: 527 [new_demod,526] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 111.66/111.84  ** KEPT (pick-wt=15): 528 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=15): 529 [] 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).
% 111.66/111.84  ---> New Demodulator: 530 [new_demod,529] 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).
% 111.66/111.84  ** KEPT (pick-wt=15): 531 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=12): 532 [] 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).
% 111.66/111.84  ---> New Demodulator: 533 [new_demod,532] 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).
% 111.66/111.84  ** KEPT (pick-wt=15): 534 [] 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).
% 111.66/111.84  ---> New Demodulator: 535 [new_demod,534] 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).
% 111.66/111.84  ** KEPT (pick-wt=8): 536 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=6): 537 [] c_in(c_Message_Omsg_ONumber(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.84    Following clause subsumed by 455 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).
% 111.66/111.84  ** KEPT (pick-wt=12): 538 [] 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).
% 111.66/111.84  ---> New Demodulator: 539 [new_demod,538] 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).
% 111.66/111.84  ** KEPT (pick-wt=12): 540 [] 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)).
% 111.66/111.84  ---> New Demodulator: 541 [new_demod,540] 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)).
% 111.66/111.84  ** KEPT (pick-wt=13): 542 [] 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).
% 111.66/111.84  ---> New Demodulator: 543 [new_demod,542] 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).
% 111.66/111.84    Following clause subsumed by 455 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).
% 111.66/111.84    Following clause subsumed by 455 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).
% 111.66/111.84  ** KEPT (pick-wt=13): 544 [] 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).
% 111.66/111.84  ---> New Demodulator: 545 [new_demod,544] 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).
% 111.66/111.84  ** KEPT (pick-wt=12): 546 [] 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)).
% 111.66/111.84  ---> New Demodulator: 547 [new_demod,546] 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)).
% 111.66/111.84  ** KEPT (pick-wt=22): 548 [] 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)).
% 111.66/111.84  ---> New Demodulator: 549 [new_demod,548] 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)).
% 111.66/111.84  ** KEPT (pick-wt=13): 550 [] 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).
% 111.66/111.84  ---> New Demodulator: 551 [new_demod,550] 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).
% 111.66/111.84    Following clause subsumed by 455 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).
% 111.66/111.84    Following clause subsumed by 455 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).
% 111.66/111.84  ** KEPT (pick-wt=13): 552 [] 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).
% 111.66/111.84  ---> New Demodulator: 553 [new_demod,552] 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).
% 111.66/111.84  ** KEPT (pick-wt=13): 554 [] 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)).
% 111.66/111.84  ** KEPT (pick-wt=6): 555 [] c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.84  ** KEPT (pick-wt=19): 556 [] c_List_Oremdups(c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,c_List_Oremdups(B,C),C)|c_in(A,c_List_Oset(B,C),C).
% 111.66/111.84  ** KEPT (pick-wt=12): 557 [] c_in(A,c_List_Oset(c_List_Oappend(B,c_List_Olist_OCons(A,C,D),D),D),D).
% 111.66/111.84    Following clause subsumed by 557 during input processing: 0 [] c_in(A,c_List_Oset(c_List_Oappend(B,c_List_Olist_OCons(A,C,D),D),D),D)|c_in(A,c_List_Oset(C,D),D).
% 111.66/111.84    Following clause subsumed by 557 during input processing: 0 [] c_in(A,c_List_Oset(c_List_Oappend(B,c_List_Olist_OCons(A,C,D),D),D),D)|c_in(A,c_List_Oset(B,D),D).
% 111.66/111.84  ** KEPT (pick-wt=18): 558 [] c_List_Olist__inter(c_List_Olist_OCons(A,B,C),D,C)=c_List_Olist__inter(B,D,C)|c_in(A,c_List_Oset(D,C),C).
% 111.66/111.84  ** KEPT (pick-wt=9): 559 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg).
% 111.66/111.84    Following clause subsumed by 559 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=9): 560 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_OinitState(A),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=12): 561 [] 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).
% 111.66/111.84  ---> New Demodulator: 562 [new_demod,561] 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).
% 111.66/111.84    Following clause subsumed by 554 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)).
% 111.66/111.84  ** KEPT (pick-wt=16): 563 [] 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).
% 111.66/111.84  ---> New Demodulator: 564 [new_demod,563] 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).
% 111.66/111.84  ** KEPT (pick-wt=11): 565 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg).
% 111.66/111.84    Following clause subsumed by 554 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(B,C,D),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.66/111.84  ** KEPT (pick-wt=16): 566 [] 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).
% 111.66/111.84  ---> New Demodulator: 567 [new_demod,566] 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).
% 111.66/111.84  ** KEPT (pick-wt=12): 568 [] 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).
% 111.66/111.84  ** KEPT (pick-wt=16): 569 [] 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)|c_in(A,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.84  ** KEPT (pick-wt=6): 570 [] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 111.66/111.84  ---> New Demodulator: 571 [new_demod,570] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 111.66/111.84  ** KEPT (pick-wt=6): 572 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 111.66/111.84  ---> New Demodulator: 573 [new_demod,572] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 111.66/111.84  ** KEPT (pick-wt=4): 574 [] c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 111.66/111.84  ** KEPT (pick-wt=6): 575 [] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 111.66/111.84  ---> New Demodulator: 576 [new_demod,575] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 111.66/111.84  ** KEPT (pick-wt=6): 577 [] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 111.66/111.84  ---> New Demodulator: 578 [new_demod,577] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 111.66/111.84  ** KEPT (pick-wt=10): 579 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(A,B),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=6): 580 [] c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.84    Following clause subsumed by 580 during input processing: 0 [] c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=6): 581 [] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 111.66/111.84  ---> New Demodulator: 582 [new_demod,581] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 111.66/111.84  ** KEPT (pick-wt=5): 583 [] c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.66/111.84  ** KEPT (pick-wt=8): 584 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=37): 586 [copy,585,demod,500] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent).
% 111.66/111.84  ** KEPT (pick-wt=16): 588 [copy,587,demod,564] c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 111.66/111.84  ** KEPT (pick-wt=2): 589 [] class_Lattices_Oupper__semilattice(tc_nat).
% 111.66/111.84  ** KEPT (pick-wt=2): 590 [] class_Orderings_Opreorder(tc_nat).
% 111.66/111.84  ** KEPT (pick-wt=2): 591 [] class_Orderings_Olinorder(tc_nat).
% 111.66/111.84  ** KEPT (pick-wt=2): 592 [] class_Lattices_Olattice(tc_nat).
% 111.66/111.84  ** KEPT (pick-wt=2): 593 [] class_Orderings_Oorder(tc_nat).
% 111.66/111.84  ** KEPT (pick-wt=2): 594 [] class_HOL_Oord(tc_nat).
% 111.66/111.84  ** KEPT (pick-wt=2): 595 [] class_Lattices_Oupper__semilattice(tc_bool).
% 111.66/111.84  ** KEPT (pick-wt=2): 596 [] class_Lattices_Obounded__lattice(tc_bool).
% 111.66/111.84  ** KEPT (pick-wt=2): 597 [] class_Orderings_Opreorder(tc_bool).
% 111.66/111.84  ** KEPT (pick-wt=2): 598 [] class_Lattices_Olattice(tc_bool).
% 111.66/111.84  ** KEPT (pick-wt=2): 599 [] class_Orderings_Oorder(tc_bool).
% 111.66/111.84  ** KEPT (pick-wt=2): 600 [] class_Orderings_Otop(tc_bool).
% 111.66/111.84  ** KEPT (pick-wt=2): 601 [] class_HOL_Oord(tc_bool).
% 111.66/111.84  ** KEPT (pick-wt=4): 602 [] c_fe_qual(A,A,B).
% 111.66/111.84    Following clause subsumed by 395 during input processing: 0 [copy,395,flip.1] A=A.
% 111.66/111.84  395 back subsumes 394.
% 111.66/111.84  395 back subsumes 393.
% 111.66/111.84  395 back subsumes 392.
% 111.66/111.84  395 back subsumes 391.
% 111.66/111.84  395 back subsumes 378.
% 111.66/111.84  395 back subsumes 368.
% 111.66/111.84  395 back subsumes 367.
% 111.66/111.84  >>>> Starting back demodulation with 398.
% 111.66/111.84  >>>> Starting back demodulation with 400.
% 111.66/111.84  >>>> Starting back demodulation with 402.
% 111.66/111.84  >>>> Starting back demodulation with 404.
% 111.66/111.84  >>>> Starting back demodulation with 406.
% 111.66/111.84  >>>> Starting back demodulation with 408.
% 111.66/111.84  >>>> Starting back demodulation with 410.
% 111.66/111.84  >>>> Starting back demodulation with 413.
% 111.66/111.84    Following clause subsumed by 455 during input processing: 0 [copy,416,flip.1] c_Set_Oinsert(c_Message_Omsg_OHash(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(c_Message_Omsg_OHash(A),D,tc_Message_Omsg),tc_Message_Omsg).
% 111.66/111.84  >>>> Starting back demodulation with 418.
% 111.66/111.84  >>>> Starting back demodulation with 420.
% 111.66/111.84  >>>> Starting back demodulation with 425.
% 111.66/111.84  >>>> Starting back demodulation with 427.
% 111.66/111.84  >>>> Starting back demodulation with 429.
% 111.66/111.84  >>>> Starting back demodulation with 431.
% 111.66/111.84  >>>> Starting back demodulation with 433.
% 111.66/111.84  >>>> Starting back demodulation with 437.
% 111.66/111.84  >>>> Starting back demodulation with 440.
% 111.66/111.84  >>>> Starting back demodulation with 443.
% 111.66/111.84  ** KEPT (pick-wt=19): 603 [copy,445,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)).
% 111.66/111.84    Following clause subsumed by 455 during input processing: 0 [copy,448,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).
% 111.66/111.84  >>>> Starting back demodulation with 450.
% 111.66/111.84  >>>> Starting back demodulation with 452.
% 111.66/111.84      >> back demodulating 383 with 452.
% 111.66/111.84      >> back demodulating 377 with 452.
% 111.66/111.84      >> back demodulating 376 with 452.
% 111.66/111.84      >> back demodulating 374 with 452.
% 111.66/111.84      >> back demodulating 373 with 452.
% 111.66/111.84      >> back demodulating 370 with 452.
% 111.66/111.84      >> back demodulating 365 with 452.
% 111.66/111.84  ** KEPT (pick-wt=24): 604 [copy,454,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)).
% 111.66/111.84    Following clause subsumed by 455 during input processing: 0 [copy,455,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 111.66/111.84  455 back subsumes 448.
% 111.66/111.84  455 back subsumes 416.
% 111.66/111.84    Following clause subsumed by 459 during input processing: 0 [copy,459,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)).
% 111.66/111.84  >>>> Starting back demodulation with 461.
% 111.66/111.84  >>>> Starting back demodulation with 466.
% 111.66/111.84    Following clause subsumed by 467 during input processing: 0 [copy,467,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)).
% 111.66/111.84  >>>> Starting back demodulation with 469.
% 111.66/111.84  >>>> Starting back demodulation with 471.
% 111.66/111.84  >>>> Starting back demodulation with 473.
% 111.66/111.84      >> back demodulating 68 with 473.
% 111.66/111.84  ** KEPT (pick-wt=17): 606 [copy,475,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(A,B),c_List_Oset(C,B),tc_fun(B,tc_bool))=c_List_Oset(c_List_Oappend(A,C,B),B).
% 111.66/111.84    Following clause subsumed by 489 during input processing: 0 [copy,478,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)).
% 112.12/112.21  >>>> Starting back demodulation with 483.
% 112.12/112.21  ** KEPT (pick-wt=7): 607 [copy,485,flip.1] c_Event_OinitState(A)=c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)).
% 112.12/112.21  >>>> Starting back demodulation with 488.
% 112.12/112.21    Following clause subsumed by 478 during input processing: 0 [copy,489,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).
% 112.12/112.21  >>>> Starting back demodulation with 492.
% 112.12/112.21  >>>> Starting back demodulation with 500.
% 112.12/112.21      >> back demodulating 498 with 500.
% 112.12/112.21      >> back demodulating 355 with 500.
% 112.12/112.21      >> back demodulating 329 with 500.
% 112.12/112.21  >>>> Starting back demodulation with 502.
% 112.12/112.21  >>>> Starting back demodulation with 504.
% 112.12/112.21  >>>> Starting back demodulation with 506.
% 112.12/112.21  >>>> Starting back demodulation with 512.
% 112.12/112.21  >>>> Starting back demodulation with 514.
% 112.12/112.21  >>>> Starting back demodulation with 518.
% 112.12/112.21      >> back demodulating 456 with 518.
% 112.12/112.21      >> back demodulating 411 with 518.
% 112.12/112.21      >> back demodulating 380 with 518.
% 112.12/112.21      >> back demodulating 156 with 518.
% 112.12/112.21      >> back demodulating 127 with 518.
% 112.12/112.21      >> back demodulating 28 with 518.
% 112.12/112.21  520 back subsumes 204.
% 112.12/112.21  >>>> Starting back demodulation with 523.
% 112.12/112.21  >>>> Starting back demodulation with 527.
% 112.12/112.21  528 back subsumes 495.
% 112.12/112.21  >>>> Starting back demodulation with 530.
% 112.12/112.21  531 back subsumes 496.
% 112.12/112.21  >>>> Starting back demodulation with 533.
% 112.12/112.21  >>>> Starting back demodulation with 535.
% 112.12/112.21  >>>> Starting back demodulation with 539.
% 112.12/112.21  >>>> Starting back demodulation with 541.
% 112.12/112.21  >>>> Starting back demodulation with 543.
% 112.12/112.21  >>>> Starting back demodulation with 545.
% 112.12/112.21  >>>> Starting back demodulation with 547.
% 112.12/112.21  >>>> Starting back demodulation with 549.
% 112.12/112.21  >>>> Starting back demodulation with 551.
% 112.12/112.21  >>>> Starting back demodulation with 553.
% 112.12/112.21  554 back subsumes 531.
% 112.12/112.21  554 back subsumes 528.
% 112.12/112.21  >>>> Starting back demodulation with 562.
% 112.12/112.21      >> back demodulating 248 with 562.
% 112.12/112.21  >>>> Starting back demodulation with 564.
% 112.12/112.21      >> back demodulating 354 with 564.
% 112.12/112.21  >>>> Starting back demodulation with 567.
% 112.12/112.21      >> back demodulating 346 with 567.
% 112.12/112.21  >>>> Starting back demodulation with 571.
% 112.12/112.21      >> back demodulating 321 with 571.
% 112.12/112.21  >>>> Starting back demodulation with 573.
% 112.12/112.21  >>>> Starting back demodulation with 576.
% 112.12/112.21      >> back demodulating 302 with 576.
% 112.12/112.21  >>>> Starting back demodulation with 578.
% 112.12/112.21  >>>> Starting back demodulation with 582.
% 112.12/112.21      >> back demodulating 341 with 582.
% 112.12/112.21    Following clause subsumed by 445 during input processing: 0 [copy,603,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)).
% 112.12/112.21    Following clause subsumed by 454 during input processing: 0 [copy,604,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).
% 112.12/112.21    Following clause subsumed by 475 during input processing: 0 [copy,606,flip.1] c_List_Oset(c_List_Oappend(A,B,C),C)=c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(A,C),c_List_Oset(B,C),tc_fun(C,tc_bool)).
% 112.12/112.21    Following clause subsumed by 485 during input processing: 0 [copy,607,flip.1] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 112.12/112.21  
% 112.12/112.21  ======= end of input processing =======
% 112.12/112.21  
% 112.12/112.21  =========== start of search ===========
% 112.12/112.21  
% 112.12/112.21  
% 112.12/112.21  Resetting weight limit to 2.
% 112.12/112.21  
% 112.12/112.21  
% 112.12/112.21  Resetting weight limit to 2.
% 112.12/112.21  
% 112.12/112.21  sos_size=143
% 112.12/112.21  
% 112.12/112.21  Search stopped because sos empty.
% 112.12/112.21  
% 112.12/112.21  
% 112.12/112.21  Search stopped because sos empty.
% 112.12/112.21  
% 112.12/112.21  ============ end of search ============
% 112.12/112.21  
% 112.12/112.21  -------------- statistics -------------
% 112.12/112.21  clauses given                144
% 112.12/112.21  clauses generated          49672
% 112.12/112.21  clauses kept                 544
% 112.12/112.21  clauses forward subsumed     158
% 112.12/112.21  clauses back subsumed         19
% 112.12/112.21  Kbytes malloced            10742
% 112.12/112.21  
% 112.12/112.21  ----------- times (seconds) -----------
% 112.12/112.21  user CPU time          0.41          (0 hr, 0 min, 0 sec)
% 112.12/112.21  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 112.12/112.21  wall-clock time      112             (0 hr, 1 min, 52 sec)
% 112.12/112.21  
% 112.12/112.21  Process 22227 finished Wed Jul 27 06:40:46 2022
% 112.12/112.21  Otter interrupted
% 112.12/112.21  PROOF NOT FOUND
%------------------------------------------------------------------------------