TSTP Solution File: SWV729-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV729-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n008.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 13:21:26 EDT 2022

% Result   : Unknown 92.54s 92.70s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV729-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : otter-tptp-script %s
% 0.12/0.35  % Computer : n008.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Jul 27 06:26:23 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 92.22/92.40  ----- Otter 3.3f, August 2004 -----
% 92.22/92.40  The process was started by sandbox on n008.cluster.edu,
% 92.22/92.40  Wed Jul 27 06:26:23 2022
% 92.22/92.40  The command was "./otter".  The process ID is 10068.
% 92.22/92.40  
% 92.22/92.40  set(prolog_style_variables).
% 92.22/92.40  set(auto).
% 92.22/92.40     dependent: set(auto1).
% 92.22/92.40     dependent: set(process_input).
% 92.22/92.40     dependent: clear(print_kept).
% 92.22/92.40     dependent: clear(print_new_demod).
% 92.22/92.40     dependent: clear(print_back_demod).
% 92.22/92.40     dependent: clear(print_back_sub).
% 92.22/92.40     dependent: set(control_memory).
% 92.22/92.40     dependent: assign(max_mem, 12000).
% 92.22/92.40     dependent: assign(pick_given_ratio, 4).
% 92.22/92.40     dependent: assign(stats_level, 1).
% 92.22/92.40     dependent: assign(max_seconds, 10800).
% 92.22/92.40  clear(print_given).
% 92.22/92.40  
% 92.22/92.40  list(usable).
% 92.22/92.40  0 [] A=A.
% 92.22/92.40  0 [] c_Message_Oagent_OFriend(V_nat)!=c_Message_Oagent_OFriend(V_nat_H)|V_nat=V_nat_H.
% 92.22/92.40  0 [] c_Message_Oagent_OFriend(V_nat)!=c_Message_Oagent_OSpy.
% 92.22/92.40  0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OFriend(V_nat).
% 92.22/92.40  0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OFriend(V_nat_H).
% 92.22/92.40  0 [] c_Message_Oagent_OFriend(V_nat_H)!=c_Message_Oagent_OServer.
% 92.22/92.40  0 [] c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 92.22/92.40  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a).
% 92.22/92.40  0 [] c_Set_Oinsert(V_a,V_A,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 92.22/92.40  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 92.22/92.40  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)!=c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_a=V_b.
% 92.22/92.40  0 [] c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 92.22/92.40  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(V_Y,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption.
% 92.22/92.40  0 [] -class_Orderings_Obot(T_b)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x)=c_Orderings_Obot__class_Obot(T_b).
% 92.22/92.40  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oimage(V_f,V_A,T_b,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_keymode))| -hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))| -hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)).
% 92.22/92.40  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 92.22/92.40  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 92.22/92.40  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 92.22/92.40  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 92.22/92.40  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 92.22/92.40  0 [] c_Public_Okeymode_OEncryption!=c_Public_Okeymode_OSignature.
% 92.22/92.40  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 92.22/92.40  0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_a=V_c.
% 92.22/92.40  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_a=V_c.
% 92.22/92.40  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_b=V_d.
% 92.22/92.40  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_b=V_d.
% 92.22/92.40  0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 92.22/92.40  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 92.22/92.40  0 [] c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] c_Set_Oimage(V_f,V_A,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 92.22/92.40  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 92.22/92.40  0 [] V_b=V_a| -hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 92.22/92.40  0 [] c_List_Oset(c_List_Olist_ONil(T_a),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_List_Oset(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 92.22/92.40  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_List_Oset(c_List_Olist_ONil(T_a),T_a).
% 92.22/92.40  0 [] c_List_Oset(V_xs,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_xs=c_List_Olist_ONil(T_a).
% 92.22/92.40  0 [] -hBOOL(c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(V_A,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] c_Event_OinitState(c_Message_Oagent_OFriend(V_i))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OFriend(V_i)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OFriend(V_i)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OFriend(V_i))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 92.22/92.40  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 92.22/92.40  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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))).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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))).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 92.22/92.40  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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 92.22/92.40  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OHash(V_msg).
% 92.22/92.40  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 92.22/92.40  0 [] c_Message_Oanalzp(V_H,V_Y)| -c_Message_Oanalzp(V_H,c_Message_Omsg_OMPair(V_X,V_Y)).
% 92.22/92.40  0 [] c_Message_Oanalzp(V_H,V_X)| -c_Message_Oanalzp(V_H,c_Message_Omsg_OMPair(V_X,V_Y)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_lesse_quals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 92.22/92.40  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OHash(V_msg).
% 92.22/92.40  0 [] c_Message_Omsg_OHash(V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 92.22/92.40  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 92.22/92.40  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 92.22/92.40  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OHash(V_msg_H).
% 92.22/92.40  0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] hBOOL(c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))=c_Message_Oanalz(V_G)| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_Event_OinitState(c_Message_Oagent_OSpy)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Event_OinitState(c_Message_Oagent_OServer)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,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,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)).
% 92.22/92.40  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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_lesse_quals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OHash(V_X))| -c_Message_Osynthp(V_H,V_X).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OHash(V_msg_H)|V_msg=V_msg_H.
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 92.22/92.40  0 [] c_lesse_quals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 92.22/92.40  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 92.22/92.40  0 [] c_Message_Oanalzp(V_H,V_X)| -hBOOL(hAPP(V_H,V_X)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 92.22/92.40  0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,V_G,tc_Message_Omsg)).
% 92.22/92.40  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 92.22/92.40  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 92.22/92.40  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 92.22/92.40  0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -c_lesse_quals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -c_lesse_quals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg)).
% 92.22/92.40  0 [] -class_Orderings_Otop(T_b)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x)=c_Orderings_Otop__class_Otop(T_b).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| -c_lesse_quals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg)).
% 92.22/92.40  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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 92.22/92.40  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).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 92.22/92.40  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 92.22/92.40  0 [] V_a=c_List_Olist_OCons(v_sko__List__Xlists__Xcases__1(V_A,V_a),v_sko__List__Xlists__Xcases__2(V_A,V_a),t_a)|V_a=c_List_Olist_ONil(t_a)| -hBOOL(c_in(V_a,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlists__Xinduct__1(V_A,V_P),v_sko__List__Xlists__Xinduct__2(V_A,V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlists__Xinducts__1(V_A,V_P),v_sko__List__Xlists__Xinducts__2(V_A,V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,V_A,tc_nat))| -hBOOL(c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat))| -hBOOL(c_in(V_x,V_A,tc_nat)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_lesse_quals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.22/92.40  0 [] c_Message_Oanalzp(V_H,V_X)| -c_Message_Oanalzp(V_H,hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)))| -c_Message_Oanalzp(V_H,c_Message_Omsg_OCrypt(V_K,V_X)).
% 92.22/92.40  0 [] hBOOL(c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)))| -hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(V_A,V_xs,T_a),V_A,T_a)).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(V_evs)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,v_sko__List__Xlists__Xinducts__2(V_A,V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,v_sko__List__Xlists__Xinduct__2(V_A,V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(c_in(v_sko__List__Xlists__Xinduct__2(V_A,V_P),c_List_Olists(V_A,t_a),tc_List_Olist(t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(c_in(v_sko__List__Xlists__Xinducts__2(V_A,V_P),c_List_Olists(V_A,t_a),tc_List_Olist(t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(c_in(v_sko__List__Xlists__Xcases__2(V_A,V_a),c_List_Olists(V_A,t_a),tc_List_Olist(t_a)))|V_a=c_List_Olist_ONil(t_a)| -hBOOL(c_in(V_a,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A))!=hAPP(c_Public_OshrK,V_B).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] c_NS__Shared__Mirabelle_Ons__sharedp(v_x)=c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))|hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oparts(V_H),tc_Message_Omsg))|hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat)).
% 92.22/92.40  0 [] c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)|hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(c_in(v_sko__List__Xlists__Xinducts__1(V_A,V_P),V_A,t_a))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(c_in(v_sko__List__Xlists__Xcases__1(V_A,V_a),V_A,t_a))|V_a=c_List_Olist_ONil(t_a)| -hBOOL(c_in(V_a,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(c_in(v_sko__List__Xlists__Xinduct__1(V_A,V_P),V_A,t_a))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a))).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)))|hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(V_A,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  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)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)).
% 92.22/92.40  0 [] V_b=V_c| -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)).
% 92.22/92.40  0 [] -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_K,V_nE,tc_nat))| -hBOOL(c_in(V_K,V_nE,tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_K,V_nE,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(V_K,V_nE,tc_nat))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_K,V_nE,tc_nat)).
% 92.22/92.40  0 [] -hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_x),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_x),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat))| -hBOOL(c_in(V_A,V_AS,tc_Message_Oagent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_A,V_AS,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)).
% 92.22/92.40  0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_lesse_quals(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|V_A=c_Message_Oagent_OSpy| -hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 92.22/92.40  0 [] c_Message_Oanalz(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg))| -hBOOL(c_in(V_x,V_A,tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,V_A,tc_nat))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 92.22/92.40  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 92.22/92.40  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONonce(V_nat).
% 92.22/92.40  0 [] c_Message_Omsg_ONonce(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 92.22/92.40  0 [] -hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent)))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf)).
% 92.22/92.40  0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OAgent(V_agt)).
% 92.22/92.40  0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 92.22/92.40  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONonce(V_nat_H).
% 92.22/92.40  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).
% 92.22/92.40  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H).
% 92.22/92.40  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 92.22/92.40  0 [] c_Event_Oevent_OGets(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 92.22/92.40  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Public_OpublicKey(V_b),V_C).
% 92.22/92.40  0 [] hAPP(c_Public_OpublicKey(V_b),V_C)!=hAPP(c_Public_OshrK,V_A).
% 92.22/92.40  0 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A))=hAPP(c_Public_OshrK,V_A).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat))| -hBOOL(c_in(V_x,V_AA,tc_Message_Oagent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| -hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)).
% 92.22/92.40  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5)).
% 92.22/92.40  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2)).
% 92.22/92.40  0 [] hBOOL(c_in(V_y,c_List_Oset(V_xs,T_a),T_a))|V_y=V_x| -hBOOL(c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oparts(V_H)| -hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONonce(V_nat).
% 92.22/92.40  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,V_H,tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,V_H,tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)).
% 92.22/92.40  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 92.22/92.40  0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 92.22/92.40  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 92.22/92.40  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.22/92.40  0 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(V_H))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)).
% 92.22/92.40  0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 92.22/92.40  0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 92.22/92.40  0 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat)).
% 92.22/92.40  0 [] c_Message_Osynth(c_Message_Osynth(V_H))=c_Message_Osynth(V_H).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 92.22/92.40  0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 92.22/92.40  0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 92.22/92.40  0 [] c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oanalz(V_H)| -hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_ONonce(V_nat_H)|V_nat=V_nat_H.
% 92.22/92.40  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_b=V_c.
% 92.22/92.40  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_A=V_A_H.
% 92.22/92.40  0 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_in(c_List_Olist_ONil(T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))).
% 92.22/92.40  0 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))!=hAPP(c_Public_OpublicKey(V_c),V_A_H).
% 92.22/92.40  0 [] hAPP(c_Message_OinvKey,V_K)!=hAPP(c_Message_OinvKey,V_K_H)|V_K=V_K_H.
% 92.22/92.40  0 [] V_b=V_c| -hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Public_OpublicKey(V_x),V_xa),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat),tc_nat))| -hBOOL(c_in(V_xa,V_AA,tc_Message_Oagent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(hAPP(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)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)).
% 92.22/92.40  0 [] hAPP(c_Message_OinvKey,V_K)=V_K| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))).
% 92.22/92.40  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).
% 92.22/92.40  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 92.22/92.40  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 92.22/92.40  0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 92.22/92.40  0 [] -hBOOL(c_in(hAPP(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)).
% 92.22/92.40  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 92.22/92.40  0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 92.22/92.40  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 92.22/92.40  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 92.22/92.40  0 [] hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K))=V_K.
% 92.22/92.40  0 [] -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OGets(V_agent,V_msg).
% 92.22/92.40  0 [] c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(V_A).
% 92.22/92.40  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.
% 92.22/92.40  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.
% 92.22/92.40  0 [] c_Message_Osynthp(V_H,V_X)| -hBOOL(hAPP(V_H,V_X)).
% 92.22/92.40  0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)).
% 92.22/92.40  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)).
% 92.22/92.40  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.
% 92.22/92.40  0 [] c_Message_Oanalz(c_Message_Oanalz(V_H))=c_Message_Oanalz(V_H).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C))!=hAPP(c_Public_OshrK,V_A).
% 92.22/92.40  0 [] hAPP(c_Public_OpublicKey(V_c),V_A_H)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  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).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)).
% 92.22/92.40  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).
% 92.22/92.40  0 [] -hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))| -hBOOL(c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)|hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)).
% 92.22/92.40  0 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))| -hBOOL(c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))| -hBOOL(c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))| -hBOOL(c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evso)).
% 92.22/92.40  0 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_x,c_List_Oset(V_xs,T_a),T_a))| -hBOOL(c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))|V_A=c_Message_Oagent_OServer| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))| -hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)).
% 92.22/92.40  0 [] -hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(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)).
% 92.22/92.40  0 [] hBOOL(c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg))| -hBOOL(c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|V_A=c_Message_Oagent_OSpy.
% 92.22/92.40  0 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))|V_A=c_Message_Oagent_OServer| -hBOOL(c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))| -hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OAgent(V_agent_H)|V_agent=V_agent_H.
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] c_Message_Omsg_OAgent(V_agent)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 92.22/92.40  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.
% 92.22/92.40  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.
% 92.22/92.40  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.
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,V_H,tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 92.22/92.40  0 [] c_Message_Oparts(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 92.22/92.40  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OAgent(V_agent).
% 92.22/92.40  0 [] V_K_H=hAPP(c_Public_OshrK,V_A)| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(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)).
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OSpy.
% 92.22/92.40  0 [] hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| -hBOOL(c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)).
% 92.22/92.40  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H)|V_nat=V_nat_H.
% 92.22/92.40  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))| -hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)).
% 92.22/92.40  0 [] hBOOL(c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 92.22/92.40  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 92.22/92.40  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 92.22/92.40  0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)).
% 92.22/92.40  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 92.22/92.40  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 92.22/92.40  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 92.22/92.40  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_nat=V_nat_H.
% 92.22/92.40  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_msg=V_msg_H.
% 92.22/92.40  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg1=V_msg1_H.
% 92.22/92.40  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg2=V_msg2_H.
% 92.22/92.40  0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 92.22/92.40  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OMPair(V_msg1,V_msg2).
% 92.22/92.40  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)))| -hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(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)).
% 92.22/92.40  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)).
% 92.22/92.40  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 92.22/92.40  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 92.22/92.40  0 [] hAPP(c_Public_OshrK,V_x)!=hAPP(c_Public_OshrK,V_y)|V_x=V_y.
% 92.22/92.40  0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)).
% 92.22/92.40  0 [] -hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)).
% 92.22/92.40  0 [] hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.22/92.40  0 [] -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.22/92.40  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 92.22/92.40  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 92.22/92.40  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 92.22/92.40  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 92.22/92.40  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 92.22/92.40  0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 92.22/92.40  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 92.22/92.40  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 92.22/92.40  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 92.22/92.40  0 [] class_Orderings_Opreorder(tc_nat).
% 92.22/92.40  0 [] class_Orderings_Olinorder(tc_nat).
% 92.22/92.40  0 [] class_Lattices_Olattice(tc_nat).
% 92.22/92.40  0 [] class_Orderings_Oorder(tc_nat).
% 92.22/92.40  0 [] class_Orderings_Obot(tc_nat).
% 92.22/92.40  0 [] class_HOL_Oord(tc_nat).
% 92.22/92.40  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 92.22/92.40  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 92.22/92.40  0 [] class_Orderings_Opreorder(tc_bool).
% 92.22/92.40  0 [] class_Lattices_Olattice(tc_bool).
% 92.22/92.40  0 [] class_Orderings_Oorder(tc_bool).
% 92.22/92.40  0 [] class_Orderings_Otop(tc_bool).
% 92.22/92.40  0 [] class_Orderings_Obot(tc_bool).
% 92.22/92.40  0 [] class_HOL_Oord(tc_bool).
% 92.22/92.40  0 [] c_fe_qual(V_x,V_x,T_a).
% 92.22/92.40  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 92.22/92.40  end_of_list.
% 92.22/92.40  
% 92.22/92.40  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 92.22/92.40  
% 92.22/92.40  This ia a non-Horn set with equality.  The strategy will be
% 92.22/92.40  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 92.22/92.40  deletion, with positive clauses in sos and nonpositive
% 92.22/92.40  clauses in usable.
% 92.22/92.40  
% 92.22/92.40     dependent: set(knuth_bendix).
% 92.22/92.40     dependent: set(anl_eq).
% 92.22/92.40     dependent: set(para_from).
% 92.22/92.40     dependent: set(para_into).
% 92.34/92.40     dependent: clear(para_from_right).
% 92.34/92.40     dependent: clear(para_into_right).
% 92.34/92.40     dependent: set(para_from_vars).
% 92.34/92.40     dependent: set(eq_units_both_ways).
% 92.34/92.40     dependent: set(dynamic_demod_all).
% 92.34/92.40     dependent: set(dynamic_demod).
% 92.34/92.40     dependent: set(order_eq).
% 92.34/92.40     dependent: set(back_demod).
% 92.34/92.40     dependent: set(lrpo).
% 92.34/92.40     dependent: set(hyper_res).
% 92.34/92.40     dependent: set(unit_deletion).
% 92.34/92.40     dependent: set(factor).
% 92.34/92.40  
% 92.34/92.40  ------------> process usable:
% 92.34/92.40  ** KEPT (pick-wt=8): 1 [] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OFriend(B)|A=B.
% 92.34/92.40  ** KEPT (pick-wt=4): 2 [] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OSpy.
% 92.34/92.40    Following clause subsumed by 2 during input processing: 0 [flip.1] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OSpy.
% 92.34/92.40  ** KEPT (pick-wt=4): 4 [copy,3,flip.1] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OServer.
% 92.34/92.40    Following clause subsumed by 4 during input processing: 0 [] c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OServer.
% 92.34/92.40  ** KEPT (pick-wt=12): 5 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 92.34/92.40  ** KEPT (pick-wt=8): 6 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 92.34/92.40    Following clause subsumed by 6 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 92.34/92.40    Following clause subsumed by 6 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 92.34/92.40    Following clause subsumed by 6 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 92.34/92.40  ** KEPT (pick-wt=13): 7 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 92.34/92.40  ** KEPT (pick-wt=13): 8 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 92.34/92.40  ** KEPT (pick-wt=17): 9 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 92.34/92.40  ** KEPT (pick-wt=17): 10 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 92.34/92.40  ** KEPT (pick-wt=18): 11 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C.
% 92.34/92.40  ** KEPT (pick-wt=3): 12 [] c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption.
% 92.34/92.40  ** KEPT (pick-wt=11): 13 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 92.34/92.40  ** KEPT (pick-wt=16): 14 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oimage(B,C,D,A)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 92.34/92.40  ** KEPT (pick-wt=12): 15 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_Public_Okeymode_OEncryption))| -hBOOL(hAPP(A,c_Public_Okeymode_OSignature)).
% 92.34/92.40  ** KEPT (pick-wt=7): 16 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 92.34/92.40  ** KEPT (pick-wt=9): 17 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 92.34/92.40  ** KEPT (pick-wt=9): 18 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 92.34/92.40  ** KEPT (pick-wt=9): 19 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 92.34/92.40    Following clause subsumed by 12 during input processing: 0 [flip.1] c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption.
% 92.34/92.40  ** KEPT (pick-wt=7): 20 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 92.34/92.40  ** KEPT (pick-wt=9): 21 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 92.34/92.40  ** KEPT (pick-wt=27): 22 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D.
% 92.34/92.40  ** KEPT (pick-wt=27): 23 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D.
% 92.34/92.41  ** KEPT (pick-wt=27): 24 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E.
% 92.34/92.41  ** KEPT (pick-wt=27): 25 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E.
% 92.34/92.41  ** KEPT (pick-wt=15): 26 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=9): 27 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 92.34/92.41  ** KEPT (pick-wt=16): 28 [] c_Set_Oimage(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=27): 29 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)).
% 92.34/92.41    Following clause subsumed by 17 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 92.34/92.41  ** KEPT (pick-wt=14): 30 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 92.34/92.41  ** KEPT (pick-wt=12): 31 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_List_Oset(B,A)|B=c_List_Olist_ONil(A).
% 92.34/92.41  ** KEPT (pick-wt=12): 32 [] c_List_Oset(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_List_Olist_ONil(B).
% 92.34/92.41  ** KEPT (pick-wt=9): 33 [] -hBOOL(c_in(A,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=20): 34 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=15): 35 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=15): 36 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=19): 37 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 92.34/92.41  ** KEPT (pick-wt=8): 38 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 92.34/92.41  ** KEPT (pick-wt=15): 39 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=15): 40 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=17): 41 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=17): 42 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=17): 43 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=17): 44 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=25): 45 [] 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))).
% 92.34/92.41  ** KEPT (pick-wt=23): 46 [] 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)).
% 92.34/92.41    Following clause subsumed by 46 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)).
% 92.34/92.41  ** KEPT (pick-wt=17): 47 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=9): 48 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 92.34/92.41  ** KEPT (pick-wt=9): 49 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 92.34/92.41    Following clause subsumed by 47 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).
% 92.34/92.41    Following clause subsumed by 47 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).
% 92.34/92.41  ** KEPT (pick-wt=9): 50 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 92.34/92.41  ** KEPT (pick-wt=9): 51 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 92.34/92.41  ** KEPT (pick-wt=5): 52 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 92.34/92.41  ** KEPT (pick-wt=11): 53 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 92.34/92.41  ** KEPT (pick-wt=11): 54 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 92.34/92.41  ** KEPT (pick-wt=14): 55 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=14): 56 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=16): 57 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 92.34/92.41  ** KEPT (pick-wt=16): 58 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 92.34/92.41    Following clause subsumed by 58 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 92.34/92.41    Following clause subsumed by 58 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 92.34/92.41    Following clause subsumed by 58 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=15): 59 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 92.34/92.41  ** KEPT (pick-wt=15): 60 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 92.34/92.41  ** KEPT (pick-wt=20): 61 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C)).
% 92.34/92.41  ** KEPT (pick-wt=6): 62 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 92.34/92.41  ** KEPT (pick-wt=6): 63 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 92.34/92.41  ** KEPT (pick-wt=8): 64 [] c_Message_Oanalzp(A,B)| -c_Message_Oanalzp(A,c_Message_Omsg_OMPair(C,B)).
% 92.34/92.41  ** KEPT (pick-wt=8): 65 [] c_Message_Oanalzp(A,B)| -c_Message_Oanalzp(A,c_Message_Omsg_OMPair(B,C)).
% 92.34/92.41  ** KEPT (pick-wt=14): 66 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=15): 67 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=15): 68 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=6): 69 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 92.34/92.41  ** KEPT (pick-wt=6): 70 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 92.34/92.41  ** KEPT (pick-wt=6): 71 [] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 92.34/92.41  ** KEPT (pick-wt=6): 72 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 92.34/92.41  ** KEPT (pick-wt=5): 73 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 92.34/92.41  ** KEPT (pick-wt=5): 74 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 92.34/92.41  ** KEPT (pick-wt=25): 75 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=26): 76 [] hBOOL(c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(D,c_Message_Oparts(C),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(D,B,tc_Message_Omsg)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=20): 77 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -c_lesse_quals(C,B,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=28): 78 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=32): 79 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=14): 80 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=10): 81 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=10): 82 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=17): 83 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 92.34/92.41  ** KEPT (pick-wt=13): 84 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 92.34/92.41  ** KEPT (pick-wt=13): 85 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 92.34/92.41  ** KEPT (pick-wt=7): 86 [] c_Message_Osynthp(A,c_Message_Omsg_OHash(B))| -c_Message_Osynthp(A,B).
% 92.34/92.41  ** KEPT (pick-wt=15): 87 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=15): 88 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=15): 89 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 92.34/92.41    Following clause subsumed by 89 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)).
% 92.34/92.41  ** KEPT (pick-wt=13): 90 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 92.34/92.41    Following clause subsumed by 90 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 92.34/92.41    Following clause subsumed by 90 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 92.34/92.41  ** KEPT (pick-wt=12): 91 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 92.34/92.41  ** KEPT (pick-wt=12): 92 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 92.34/92.41  ** KEPT (pick-wt=12): 93 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 92.34/92.41  ** KEPT (pick-wt=14): 94 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=14): 95 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=14): 96 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=8): 97 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OHash(B)|A=B.
% 92.34/92.41  ** KEPT (pick-wt=28): 98 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=7): 99 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 92.34/92.41  ** KEPT (pick-wt=13): 100 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=13): 101 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=13): 102 [] -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).
% 92.34/92.41  ** KEPT (pick-wt=13): 103 [] -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).
% 92.34/92.41    Following clause subsumed by 100 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).
% 92.34/92.41    Following clause subsumed by 101 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).
% 92.34/92.41  ** KEPT (pick-wt=17): 104 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=17): 105 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=14): 106 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 92.34/92.41  ** KEPT (pick-wt=14): 107 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 92.34/92.41  ** KEPT (pick-wt=18): 108 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=14): 109 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=6): 110 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 92.34/92.41  ** KEPT (pick-wt=6): 111 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 92.34/92.41    Following clause subsumed by 109 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 92.34/92.41  ** KEPT (pick-wt=14): 112 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=7): 113 [] c_Message_Oanalzp(A,B)| -hBOOL(hAPP(A,B)).
% 92.34/92.41  ** KEPT (pick-wt=20): 114 [] 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)).
% 92.34/92.41    Following clause subsumed by 114 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)).
% 92.34/92.41  ** KEPT (pick-wt=18): 115 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=5): 116 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 92.34/92.41  ** KEPT (pick-wt=34): 117 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=10): 118 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 92.34/92.41  ** KEPT (pick-wt=22): 119 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(C),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,C,tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=20): 120 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 92.34/92.41    Following clause subsumed by 35 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 92.34/92.41    Following clause subsumed by 120 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 92.34/92.41    Following clause subsumed by 35 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 92.34/92.41  ** KEPT (pick-wt=14): 121 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=20): 122 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 92.34/92.41  ** KEPT (pick-wt=22): 123 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 92.34/92.41  ** KEPT (pick-wt=23): 124 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oparts(C),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=19): 125 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -c_lesse_quals(C,c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Oparts(C),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=17): 126 [] hBOOL(c_in(A,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=19): 127 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -c_lesse_quals(C,c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=11): 128 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 92.34/92.41  ** KEPT (pick-wt=19): 129 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=19): 130 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))| -c_lesse_quals(C,c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Osynth(C),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=13): 131 [] hBOOL(c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=30): 132 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=16): 133 [] 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)).
% 92.34/92.41  ** KEPT (pick-wt=22): 135 [copy,134,flip.1] c_List_Olist_OCons(v_sko__List__Xlists__Xcases__1(A,B),v_sko__List__Xlists__Xcases__2(A,B),t_a)=B|B=c_List_Olist_ONil(t_a)| -hBOOL(c_in(B,c_List_Olists(A,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=28): 136 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xlists__Xinduct__1(C,A),v_sko__List__Xlists__Xinduct__2(C,A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=28): 137 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xlists__Xinducts__1(C,A),v_sko__List__Xlists__Xinducts__2(C,A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=16): 138 [] hBOOL(c_in(A,B,tc_nat))| -hBOOL(c_in(hAPP(c_Message_OinvKey,A),c_Set_Oimage(c_Message_OinvKey,B,tc_nat,tc_nat),tc_nat)).
% 92.34/92.41  ** KEPT (pick-wt=16): 139 [] hBOOL(c_in(hAPP(c_Message_OinvKey,A),c_Set_Oimage(c_Message_OinvKey,B,tc_nat,tc_nat),tc_nat))| -hBOOL(c_in(A,B,tc_nat)).
% 92.34/92.41  ** KEPT (pick-wt=15): 140 [] c_Message_Oanalzp(A,B)| -c_Message_Oanalzp(A,hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,C)))| -c_Message_Oanalzp(A,c_Message_Omsg_OCrypt(C,B)).
% 92.34/92.41  ** KEPT (pick-wt=16): 141 [] hBOOL(c_in(A,c_List_Olists(B,C),tc_List_Olist(C)))| -hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(B,A,C),B,C)).
% 92.34/92.41  ** KEPT (pick-wt=10): 142 [] -hBOOL(c_in(c_Message_Omsg_OHash(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=8): 143 [] -hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(A)),c_Event_Oused(A),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=23): 144 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,v_sko__List__Xlists__Xinducts__2(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=23): 145 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,v_sko__List__Xlists__Xinduct__2(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=27): 146 [] hBOOL(hAPP(A,B))|hBOOL(c_in(v_sko__List__Xlists__Xinduct__2(C,A),c_List_Olists(C,t_a),tc_List_Olist(t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=27): 147 [] hBOOL(hAPP(A,B))|hBOOL(c_in(v_sko__List__Xlists__Xinducts__2(C,A),c_List_Olists(C,t_a),tc_List_Olist(t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=22): 148 [] hBOOL(c_in(v_sko__List__Xlists__Xcases__2(A,B),c_List_Olists(A,t_a),tc_List_Olist(t_a)))|B=c_List_Olist_ONil(t_a)| -hBOOL(c_in(B,c_List_Olists(A,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=10): 149 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),A))!=hAPP(c_Public_OshrK,B).
% 92.34/92.41  ** KEPT (pick-wt=26): 150 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=26): 151 [] hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=39): 152 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A)),c_Message_Oparts(B),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat))| -hBOOL(c_in(D,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(D,C,tc_Message_Omsg))),tc_nat)).
% 92.34/92.41  ** KEPT (pick-wt=24): 153 [] hBOOL(hAPP(A,B))|hBOOL(c_in(v_sko__List__Xlists__Xinducts__1(C,A),C,t_a))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=19): 154 [] hBOOL(c_in(v_sko__List__Xlists__Xcases__1(A,B),A,t_a))|B=c_List_Olist_ONil(t_a)| -hBOOL(c_in(B,c_List_Olists(A,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=24): 155 [] hBOOL(hAPP(A,B))|hBOOL(c_in(v_sko__List__Xlists__Xinduct__1(C,A),C,t_a))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a))).
% 92.34/92.41  ** KEPT (pick-wt=15): 156 [] hBOOL(c_in(hAPP(c_Message_OinvKey,A),c_Message_OkeysFor(B),tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)).
% 92.34/92.41    Following clause subsumed by 126 during input processing: 0 [factor_simp] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.41    Following clause subsumed by 126 during input processing: 0 [factor_simp] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=18): 157 [] hBOOL(c_in(A,c_Message_OkeysFor(B),tc_nat))| -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=38): 158 [] hBOOL(c_in(A,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(A,B),A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(A,B),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(A,B),A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=17): 159 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(C),D,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)).
% 92.34/92.41  ** KEPT (pick-wt=22): 160 [] A=B| -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),C)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(B),D,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)).
% 92.34/92.41  ** KEPT (pick-wt=10): 161 [] -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),A)),c_Message_OsymKeys,tc_nat)).
% 92.34/92.41  ** KEPT (pick-wt=29): 162 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=32): 163 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg))| -c_lesse_quals(D,C,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=32): 164 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg))| -c_lesse_quals(D,B,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(C,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=22): 166 [copy,165,factor_simp] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat)).
% 92.34/92.41    Following clause subsumed by 166 during input processing: 0 [factor_simp] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat)).
% 92.34/92.41    Following clause subsumed by 126 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.41    Following clause subsumed by 126 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat)).
% 92.34/92.41  ** KEPT (pick-wt=16): 167 [] -hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)).
% 92.34/92.41  ** KEPT (pick-wt=24): 168 [] hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(A),C,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat))| -hBOOL(c_in(B,C,tc_Message_Oagent)).
% 92.34/92.41  ** KEPT (pick-wt=24): 169 [] hBOOL(c_in(A,B,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(C),A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(D),B,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)).
% 92.34/92.41  ** KEPT (pick-wt=31): 170 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A)),c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=31): 171 [] c_lesse_quals(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A)),c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=47): 172 [] hBOOL(c_in(A,c_Event_OinitState(B),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent))|hBOOL(c_in(c_Event_Oevent_OSays(B,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(B,A,C),A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent))|B=c_Message_Oagent_OSpy| -hBOOL(c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=28): 173 [] -hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))),tc_nat))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg)).
% 92.34/92.41  ** KEPT (pick-wt=9): 174 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=16): 175 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=16): 176 [] hBOOL(c_in(A,B,tc_nat))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=10): 177 [] -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=27): 178 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=28): 179 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A)),c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=34): 180 [] hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A)),c_Message_Oanalz(C),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=34): 181 [] hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,C)),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=6): 182 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 92.34/92.42  ** KEPT (pick-wt=6): 183 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 92.34/92.42  ** KEPT (pick-wt=6): 184 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 92.34/92.42  ** KEPT (pick-wt=6): 185 [] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 92.34/92.42  ** KEPT (pick-wt=21): 186 [] -hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(C,D),B,tc_Event_Oevent))),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=21): 187 [] -hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(C,D),B,tc_Event_Oevent))),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=21): 188 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent)))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(C)).
% 92.34/92.42  ** KEPT (pick-wt=5): 189 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 92.34/92.42  ** KEPT (pick-wt=5): 190 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 92.34/92.42  ** KEPT (pick-wt=8): 191 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 92.34/92.42  ** KEPT (pick-wt=8): 192 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 92.34/92.42  ** KEPT (pick-wt=8): 193 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 92.34/92.42  ** KEPT (pick-wt=8): 194 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 92.34/92.42  ** KEPT (pick-wt=8): 195 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 92.34/92.42  ** KEPT (pick-wt=8): 196 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 92.34/92.42  ** KEPT (pick-wt=16): 197 [] hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat),tc_nat))| -hBOOL(c_in(A,B,tc_Message_Oagent)).
% 92.34/92.42  ** KEPT (pick-wt=16): 198 [] hBOOL(c_in(A,B,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=26): 199 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(C)))),D,tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(D)).
% 92.34/92.42  ** KEPT (pick-wt=24): 200 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,C)),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=20): 201 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg)| -hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)).
% 92.34/92.42  ** KEPT (pick-wt=46): 202 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),E,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(E)).
% 92.34/92.42  ** KEPT (pick-wt=15): 203 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_ONotes(C,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.42  ** KEPT (pick-wt=60): 204 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(D),c_Message_Omsg_ONonce(D)))),E,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),H))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(E)).
% 92.34/92.42  ** KEPT (pick-wt=65): 205 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(A)))))))),E,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_ONonce(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(D,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(E)).
% 92.34/92.42  ** KEPT (pick-wt=20): 206 [] hBOOL(c_in(A,c_List_Oset(B,C),C))|A=D| -hBOOL(c_in(A,c_List_Oset(c_List_Olist_OCons(D,B,C),C),C)).
% 92.34/92.42  ** KEPT (pick-wt=14): 207 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oanalz(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=14): 208 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oanalz(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=14): 209 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Event_Oused(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=14): 210 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Event_Oused(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=20): 211 [] hBOOL(c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Osynth(C),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(C),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=21): 212 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OMPair(C,A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=21): 213 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OMPair(A,C),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=15): 214 [] hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(C),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=14): 215 [] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oparts(B)| -hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=6): 216 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 92.34/92.42  ** KEPT (pick-wt=6): 217 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 92.34/92.42  ** KEPT (pick-wt=11): 218 [] c_Message_Osynthp(A,c_Message_Omsg_OMPair(B,C))| -c_Message_Osynthp(A,C)| -c_Message_Osynthp(A,B).
% 92.34/92.42  ** KEPT (pick-wt=13): 219 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=8): 220 [] -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Message_Oparts(c_Event_OinitState(B)),tc_Message_Omsg)).
% 92.34/92.42    Following clause subsumed by 211 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=16): 221 [] hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=16): 222 [] hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=13): 223 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Osynth(B)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=11): 224 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=13): 225 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=11): 226 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=16): 227 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 92.34/92.42    Following clause subsumed by 227 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 92.34/92.42    Following clause subsumed by 227 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 92.34/92.42    Following clause subsumed by 227 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 92.34/92.42  ** KEPT (pick-wt=11): 228 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 92.34/92.42  ** KEPT (pick-wt=22): 229 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(c_in(A,D,C))|hBOOL(c_in(A,B,C))|B=D.
% 92.34/92.42  ** KEPT (pick-wt=16): 230 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 92.34/92.42  ** KEPT (pick-wt=13): 231 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 92.34/92.42    Following clause subsumed by 231 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 92.34/92.42  ** KEPT (pick-wt=20): 232 [] -hBOOL(c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=12): 233 [] -hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=17): 234 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(B))| -hBOOL(c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=13): 235 [] hBOOL(c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.42    Following clause subsumed by 235 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.42    Following clause subsumed by 224 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=15): 236 [] hBOOL(c_in(A,c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=6): 238 [copy,237,flip.1] c_List_Olist_OCons(A,B,C)!=B.
% 92.34/92.42    Following clause subsumed by 238 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=B.
% 92.34/92.42  ** KEPT (pick-wt=8): 239 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(A),B),c_Message_OsymKeys,tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=7): 240 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 92.34/92.42    Following clause subsumed by 240 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 92.34/92.42  ** KEPT (pick-wt=21): 241 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(c_in(B,C,D)).
% 92.34/92.42  ** KEPT (pick-wt=14): 242 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=11): 243 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 92.34/92.42  ** KEPT (pick-wt=8): 244 [] -hBOOL(c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=8): 245 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONonce(B)|A=B.
% 92.34/92.42  ** KEPT (pick-wt=12): 246 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|A=C.
% 92.34/92.42  ** KEPT (pick-wt=12): 247 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|B=D.
% 92.34/92.42  ** KEPT (pick-wt=12): 248 [] -hBOOL(c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=11): 249 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 92.34/92.42  ** KEPT (pick-wt=10): 250 [] hAPP(c_Message_OinvKey,A)!=hAPP(c_Message_OinvKey,B)|A=B.
% 92.34/92.42  ** KEPT (pick-wt=16): 251 [] A=B| -hBOOL(c_in(hAPP(c_Public_OpublicKey(A),C),c_Set_Oimage(c_Public_OpublicKey(B),D,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=18): 252 [] hBOOL(c_in(A,B,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Public_OpublicKey(C),A),c_Set_Oimage(c_Public_OpublicKey(D),B,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.34/92.42    Following clause subsumed by 227 during input processing: 0 [] hBOOL(c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OpublicKey(A),C,tc_Message_Oagent,tc_nat),tc_nat))| -hBOOL(c_in(B,C,tc_Message_Oagent)).
% 92.34/92.42  ** KEPT (pick-wt=21): 253 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Osynth(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=21): 254 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(C,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=15): 255 [] -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OpublicKey(C),D,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=14): 256 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 92.34/92.42  ** KEPT (pick-wt=12): 257 [] hBOOL(c_in(A,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(hAPP(c_Message_OinvKey,A),c_Message_OsymKeys,tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=12): 258 [] hBOOL(c_in(hAPP(c_Message_OinvKey,A),c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=10): 259 [] hAPP(c_Message_OinvKey,A)=A| -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=10): 260 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|B=D.
% 92.34/92.42  ** KEPT (pick-wt=10): 261 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|A=C.
% 92.34/92.42  ** KEPT (pick-wt=14): 262 [] -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=7): 263 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 92.34/92.42  ** KEPT (pick-wt=7): 264 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 92.34/92.42  ** KEPT (pick-wt=10): 265 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|B=D.
% 92.34/92.42  ** KEPT (pick-wt=10): 266 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|A=C.
% 92.34/92.42  ** KEPT (pick-wt=10): 267 [] -hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B)),c_Message_OsymKeys,tc_nat)).
% 92.34/92.42  ** KEPT (pick-wt=7): 268 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 92.34/92.42  ** KEPT (pick-wt=12): 269 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 92.34/92.42  ** KEPT (pick-wt=12): 270 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 92.34/92.42  ** KEPT (pick-wt=7): 271 [] c_Message_Osynthp(A,B)| -hBOOL(hAPP(A,B)).
% 92.34/92.42  ** KEPT (pick-wt=10): 272 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(B),C)).
% 92.34/92.42  ** KEPT (pick-wt=16): 273 [] 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)).
% 92.34/92.42  ** KEPT (pick-wt=10): 274 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 92.34/92.42  ** KEPT (pick-wt=11): 275 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(C),D)).
% 92.34/92.42  ** KEPT (pick-wt=12): 276 [] -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg)).
% 92.34/92.42    Following clause subsumed by 276 during input processing: 0 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)).
% 92.34/92.42    Following clause subsumed by 276 during input processing: 0 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=21): 277 [] hBOOL(c_in(A,c_Message_Osynth(B),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.42    Following clause subsumed by 224 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=15): 278 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=14): 279 [] c_Message_Osynthp(A,c_Message_Omsg_OCrypt(B,C))| -hBOOL(hAPP(A,hAPP(c_Message_Omsg_OKey,B)))| -c_Message_Osynthp(A,C).
% 92.34/92.42  ** KEPT (pick-wt=22): 280 [] -hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))|hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,E),B,tc_Event_Oevent))),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=27): 281 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg))| -hBOOL(c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.42  ** KEPT (pick-wt=52): 282 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg))| -hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.42  ** KEPT (pick-wt=32): 283 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(C)))),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|hBOOL(c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg))| -hBOOL(c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.42  ** KEPT (pick-wt=71): 284 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(A)))))))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_ONonce(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(D,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg))| -hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.42  ** KEPT (pick-wt=56): 285 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),hAPP(c_Message_Omsg_OKey,C)))),D,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(D)).
% 92.34/92.42  ** KEPT (pick-wt=66): 286 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(D),c_Message_Omsg_ONonce(D)))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),H))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(C,c_Message_OsymKeys,tc_nat))| -hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.42  ** KEPT (pick-wt=9): 287 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=20): 288 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_List_Oset(D,C),C))| -hBOOL(c_in(D,c_List_Olists(B,C),tc_List_Olist(C))).
% 92.34/92.42  ** KEPT (pick-wt=11): 289 [] -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Set_Oimage(c_Message_Omsg_OKey,C,tc_nat,tc_Message_Omsg),tc_Message_Omsg)).
% 92.34/92.42    Following clause subsumed by 224 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=22): 290 [] hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg)).
% 92.34/92.42    Following clause subsumed by 290 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=21): 291 [] hBOOL(c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg))| -hBOOL(c_in(B,c_Message_Osynth(C),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=56): 292 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(E)))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),C))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))|A=c_Message_Oagent_OServer| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(D)).
% 92.34/92.42  ** KEPT (pick-wt=19): 293 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg))| -hBOOL(c_in(B,c_Event_Obad,tc_Message_Oagent)).
% 92.34/92.42  ** KEPT (pick-wt=39): 294 [] -hBOOL(c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(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)).
% 92.34/92.42  ** KEPT (pick-wt=14): 295 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=26): 296 [] hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,C)),c_Message_Oanalz(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A),c_Message_Oanalz(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=16): 297 [] hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.42  ** KEPT (pick-wt=16): 298 [] hBOOL(c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_ONotes(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.42  ** KEPT (pick-wt=62): 299 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),hAPP(c_Message_Omsg_OKey,C)))),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.42  ** KEPT (pick-wt=19): 300 [] hBOOL(c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent))|B=c_Message_Oagent_OSpy.
% 92.34/92.42  ** KEPT (pick-wt=62): 301 [] hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(c_in(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(E)))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))| -hBOOL(c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),C))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent))|A=c_Message_Oagent_OServer| -hBOOL(c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.42  ** KEPT (pick-wt=18): 302 [] hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.42  ** KEPT (pick-wt=25): 303 [] hBOOL(c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(C,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=21): 304 [] hBOOL(c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))| -hBOOL(c_in(C,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(c_Event_Oevent_ONotes(C,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.42  ** KEPT (pick-wt=23): 305 [] hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.42  ** KEPT (pick-wt=23): 306 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.42  ** KEPT (pick-wt=8): 307 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OAgent(B)|A=B.
% 92.34/92.42  ** KEPT (pick-wt=17): 308 [] hBOOL(c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(B,D,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.42  ** KEPT (pick-wt=14): 309 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oparts(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=14): 310 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oparts(B),tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=6): 311 [] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 92.34/92.42  ** KEPT (pick-wt=12): 312 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|A=D.
% 92.34/92.42  ** KEPT (pick-wt=12): 313 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|B=E.
% 92.34/92.42  ** KEPT (pick-wt=12): 314 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|C=F.
% 92.34/92.42  ** KEPT (pick-wt=11): 315 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(A,B,tc_Message_Omsg)).
% 92.34/92.42  ** KEPT (pick-wt=18): 316 [] hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.42  ** KEPT (pick-wt=17): 317 [] hBOOL(c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.42  ** KEPT (pick-wt=26): 318 [] hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(C,D,c_Message_Omsg_OCrypt(E,c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(G,c_Message_Omsg_OMPair(H,A))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.42  ** KEPT (pick-wt=7): 319 [] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 92.34/92.42  ** KEPT (pick-wt=6): 320 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 92.34/92.42  ** KEPT (pick-wt=32): 321 [] A=hAPP(c_Public_OshrK,B)| -hBOOL(c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(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)).
% 92.34/92.43  ** KEPT (pick-wt=14): 322 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oparts(B),tc_Message_Omsg)).
% 92.34/92.43  ** KEPT (pick-wt=23): 323 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.43  ** KEPT (pick-wt=23): 324 [] hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent))| -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.43  ** KEPT (pick-wt=3): 326 [copy,325,flip.1] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 92.34/92.43  ** KEPT (pick-wt=13): 327 [] hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Message_Oparts(c_Message_Oparts(B)),tc_Message_Omsg)).
% 92.34/92.43  ** KEPT (pick-wt=10): 328 [] hAPP(c_Message_Omsg_OKey,A)!=hAPP(c_Message_Omsg_OKey,B)|A=B.
% 92.34/92.43  ** KEPT (pick-wt=6): 329 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 92.34/92.43  ** KEPT (pick-wt=16): 330 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))| -hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)).
% 92.34/92.43  ** KEPT (pick-wt=28): 331 [] hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg))| -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,C,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(A,F))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.43  ** KEPT (pick-wt=6): 332 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 92.34/92.43  ** KEPT (pick-wt=7): 333 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 92.34/92.43  ** KEPT (pick-wt=6): 334 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 92.34/92.43  ** KEPT (pick-wt=6): 335 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 92.34/92.43  ** KEPT (pick-wt=9): 336 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 92.34/92.43  ** KEPT (pick-wt=9): 337 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 92.34/92.43  ** KEPT (pick-wt=10): 338 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|A=C.
% 92.34/92.43  ** KEPT (pick-wt=10): 339 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|B=D.
% 92.34/92.43  ** KEPT (pick-wt=10): 340 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|A=C.
% 92.34/92.43  ** KEPT (pick-wt=10): 341 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|B=D.
% 92.34/92.43    Following clause subsumed by 326 during input processing: 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 92.34/92.43  ** KEPT (pick-wt=7): 342 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 92.34/92.43  ** KEPT (pick-wt=39): 343 [] 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)))| -hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| -hBOOL(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)).
% 92.34/92.43  ** KEPT (pick-wt=7): 344 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 92.34/92.43  ** KEPT (pick-wt=5): 345 [] -hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)).
% 92.34/92.43  ** KEPT (pick-wt=7): 346 [] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 92.34/92.43  ** KEPT (pick-wt=7): 347 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 92.34/92.43  ** KEPT (pick-wt=10): 348 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OshrK,B)|A=B.
% 92.34/92.43  ** KEPT (pick-wt=5): 349 [] -hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)).
% 92.34/92.43  ** KEPT (pick-wt=23): 350 [] -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)).
% 92.34/92.43  ** KEPT (pick-wt=6): 351 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 92.34/92.43  ** KEPT (pick-wt=6): 352 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 92.34/92.43  ** KEPT (pick-wt=6): 353 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 92.34/92.43  ** KEPT (pick-wt=6): 354 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 92.34/92.43  ** KEPT (pick-wt=6): 355 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 92.34/92.43  ** KEPT (pick-wt=6): 356 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 92.34/92.43  ** KEPT (pick-wt=6): 357 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 92.34/92.43  ** KEPT (pick-wt=6): 358 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 92.34/92.43  ** KEPT (pick-wt=7): 359 [] A=B| -c_fe_qual(A,B,C).
% 92.34/92.43  6 back subsumes 5.
% 92.34/92.43    Following clause subsumed by 27 during input processing: 0 [copy,17,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 92.34/92.43    Following clause subsumed by 17 during input processing: 0 [copy,27,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 92.34/92.43    Following clause subsumed by 116 during input processing: 0 [copy,52,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 92.34/92.43    Following clause subsumed by 63 during input processing: 0 [copy,62,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 92.34/92.43    Following clause subsumed by 62 during input processing: 0 [copy,63,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 92.34/92.43    Following clause subsumed by 70 during input processing: 0 [copy,69,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 92.34/92.43    Following clause subsumed by 69 during input processing: 0 [copy,70,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 92.34/92.43    Following clause subsumed by 72 during input processing: 0 [copy,71,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 92.34/92.43    Following clause subsumed by 71 during input processing: 0 [copy,72,flip.1] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 92.34/92.43    Following clause subsumed by 74 during input processing: 0 [copy,73,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 92.34/92.43    Following clause subsumed by 73 during input processing: 0 [copy,74,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 92.34/92.43    Following clause subsumed by 52 during input processing: 0 [copy,116,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 92.34/92.43    Following clause subsumed by 272 during input processing: 0 [copy,149,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),B)).
% 92.34/92.43    Following clause subsumed by 183 during input processing: 0 [copy,182,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 92.34/92.43    Following clause subsumed by 182 during input processing: 0 [copy,183,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 92.34/92.43    Following clause subsumed by 185 during input processing: 0 [copy,184,flip.1] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 92.34/92.43    Following clause subsumed by 184 during input processing: 0 [copy,185,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 92.34/92.43    Following clause subsumed by 190 during input processing: 0 [copy,189,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 92.34/92.43    Following clause subsumed by 189 during input processing: 0 [copy,190,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 92.34/92.43    Following clause subsumed by 193 during input processing: 0 [copy,191,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 92.34/92.43    Following clause subsumed by 194 during input processing: 0 [copy,192,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 92.34/92.43    Following clause subsumed by 191 during input processing: 0 [copy,193,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 92.34/92.43    Following clause subsumed by 192 during input processing: 0 [copy,194,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 92.34/92.43    Following clause subsumed by 196 during input processing: 0 [copy,195,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 92.34/92.43    Following clause subsumed by 195 during input processing: 0 [copy,196,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 92.34/92.43    Following clause subsumed by 217 during input processing: 0 [copy,216,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 92.34/92.43    Following clause subsumed by 216 during input processing: 0 [copy,217,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 92.34/92.43  224 back subsumes 150.
% 92.34/92.43  227 back subsumes 197.
% 92.34/92.43  227 back subsumes 175.
% 92.34/92.43  227 back subsumes 139.
% 92.34/92.43  236 back subsumes 163.
% 92.34/92.43    Following clause subsumed by 264 during input processing: 0 [copy,240,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 92.34/92.43    Following clause subsumed by 275 during input processing: 0 [copy,249,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(C),D)).
% 92.34/92.43    Following clause subsumed by 268 during input processing: 0 [copy,263,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 92.34/92.43    Following clause subsumed by 240 during input processing: 0 [copy,264,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 92.34/92.43  267 back subsumes 161.
% 92.34/92.43    Following clause subsumed by 263 during input processing: 0 [copy,268,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 92.34/92.43    Following clause subsumed by 274 during input processing: 0 [copy,272,flip.1] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 92.34/92.43    Following clause subsumed by 272 during input processing: 0 [copy,274,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(B),C)).
% 92.34/92.43  274 back subsumes 149.
% 92.34/92.43    Following clause subsumed by 249 during input processing: 0 [copy,275,flip.1] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 92.34/92.43  291 back subsumes 180.
% 92.34/92.43    Following clause subsumed by 335 during input processing: 0 [copy,311,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 92.34/92.43    Following clause subsumed by 347 during input processing: 0 [copy,319,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 92.34/92.43    Following clause subsumed by 329 during input processing: 0 [copy,320,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 92.34/92.43    Following clause subsumed by 320 during input processing: 0 [copy,329,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 92.34/92.43    Following clause subsumed by 334 during input processing: 0 [copy,332,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 92.34/92.43    Following clause subsumed by 342 during input processing: 0 [copy,333,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 92.34/92.43    Following clause subsumed by 332 during input processing: 0 [copy,334,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 92.34/92.43    Following clause subsumed by 311 during input processing: 0 [copy,335,flip.1] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 92.34/92.43    Following clause subsumed by 333 during input processing: 0 [copy,342,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 92.34/92.43    Following clause subsumed by 346 during input processing: 0 [copy,344,flip.1] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 92.34/92.43    Following clause subsumed by 344 during input processing: 0 [copy,346,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 92.34/92.43    Following clause subsumed by 319 during input processing: 0 [copy,347,flip.1] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 92.34/92.43  
% 92.34/92.43  ------------> process sos:
% 92.34/92.43  ** KEPT (pick-wt=3): 381 [] A=A.
% 92.34/92.43  ** KEPT (pick-wt=10): 382 [] c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ---> New Demodulator: 383 [new_demod,382] c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=13): 384 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 92.34/92.43  ** KEPT (pick-wt=17): 385 [] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=13): 386 [] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=21): 387 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 92.34/92.43  ** KEPT (pick-wt=35): 388 [] c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=9): 389 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=11): 390 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 92.34/92.43  ---> New Demodulator: 391 [new_demod,390] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 92.34/92.43  ** KEPT (pick-wt=11): 392 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 92.34/92.43  ---> New Demodulator: 393 [new_demod,392] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 92.34/92.43  ** KEPT (pick-wt=14): 394 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 92.34/92.43  ---> New Demodulator: 395 [new_demod,394] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 92.34/92.43    Following clause subsumed by 389 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=10): 396 [] c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ---> New Demodulator: 397 [new_demod,396] c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=20): 398 [] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43    Following clause subsumed by 381 during input processing: 0 [demod,393] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=11): 399 [] hBOOL(c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)).
% 92.34/92.43  ** KEPT (pick-wt=9): 401 [copy,400,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 92.34/92.43  ---> New Demodulator: 402 [new_demod,401] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 92.34/92.43    Following clause subsumed by 381 during input processing: 0 [demod,402] c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 92.34/92.43  ** KEPT (pick-wt=24): 404 [copy,403,demod,402] c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(B,C),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(B,C)),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=72): 406 [copy,405,demod,402] c_Event_OinitState(c_Message_Oagent_OFriend(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OFriend(A)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OFriend(A)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OFriend(A))),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43    Following clause subsumed by 404 during input processing: 0 [demod,402] c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=19): 408 [copy,407,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)).
% 92.34/92.43  ---> New Demodulator: 409 [new_demod,408] 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)).
% 92.34/92.43  ** KEPT (pick-wt=19): 411 [copy,410,demod,409] 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)).
% 92.34/92.43  ** KEPT (pick-wt=8): 412 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 92.34/92.43  ---> New Demodulator: 413 [new_demod,412] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 92.34/92.43  ** KEPT (pick-wt=19): 414 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=19): 415 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=16): 416 [] 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))).
% 92.34/92.43  ---> New Demodulator: 417 [new_demod,416] 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))).
% 92.34/92.43  ** KEPT (pick-wt=23): 418 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=23): 419 [] 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)).
% 92.34/92.43  ---> New Demodulator: 420 [new_demod,419] 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)).
% 92.34/92.43    Following clause subsumed by 381 during input processing: 0 [demod,420] 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)).
% 92.34/92.43  ** KEPT (pick-wt=11): 421 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=11): 422 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=13): 423 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=18): 424 [] 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)).
% 92.34/92.43  ---> New Demodulator: 425 [new_demod,424] 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)).
% 92.34/92.43  ** KEPT (pick-wt=16): 426 [] 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)).
% 92.34/92.43  ---> New Demodulator: 427 [new_demod,426] 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)).
% 92.34/92.43  ** KEPT (pick-wt=7): 428 [] c_lesse_quals(A,c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=9): 429 [] c_lesse_quals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=21): 430 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=82): 432 [copy,431,demod,420,420,420,420,420,420,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_OinitState(c_Message_Oagent_OSpy).
% 92.34/92.43  ---> New Demodulator: 433 [new_demod,432] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_OinitState(c_Message_Oagent_OSpy).
% 92.34/92.43  ** KEPT (pick-wt=77): 435 [copy,434,demod,402,420,420,420,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,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,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_OinitState(c_Message_Oagent_OServer).
% 92.34/92.43  ---> New Demodulator: 436 [new_demod,435] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,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,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_OinitState(c_Message_Oagent_OServer).
% 92.34/92.43  ** KEPT (pick-wt=22): 438 [copy,437,demod,402] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=23): 440 [copy,439,demod,402] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(C,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(D),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=14): 441 [] 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)).
% 92.34/92.43  ---> New Demodulator: 442 [new_demod,441] 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)).
% 92.34/92.43  ** KEPT (pick-wt=14): 443 [] 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)).
% 92.34/92.43  ---> New Demodulator: 444 [new_demod,443] 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)).
% 92.34/92.43  ** KEPT (pick-wt=20): 446 [copy,445,demod,427] 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_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)).
% 92.34/92.43  ** KEPT (pick-wt=9): 447 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=7): 448 [] c_lesse_quals(A,c_Message_Oanalz(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=19): 449 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=25): 450 [] 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).
% 92.34/92.43  ** KEPT (pick-wt=9): 451 [] c_lesse_quals(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=7): 452 [] c_lesse_quals(A,c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=6): 453 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 92.34/92.43    Following clause subsumed by 453 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=9): 454 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 92.34/92.43  ---> New Demodulator: 455 [new_demod,454] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 92.34/92.43  ** KEPT (pick-wt=25): 456 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=13): 457 [] c_lesse_quals(c_List_Oset(A,B),c_List_Oset(c_List_Olist_OCons(C,A,B),B),tc_fun(B,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=8): 458 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=10): 459 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 92.34/92.43  ---> New Demodulator: 460 [new_demod,459] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 92.34/92.43  ** KEPT (pick-wt=13): 461 [] 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).
% 92.34/92.43  ---> New Demodulator: 462 [new_demod,461] 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).
% 92.34/92.43  ** KEPT (pick-wt=14): 463 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=12): 464 [] 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)).
% 92.34/92.43  ---> New Demodulator: 465 [new_demod,464] 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)).
% 92.34/92.43  ** KEPT (pick-wt=21): 466 [] 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).
% 92.34/92.43  ** KEPT (pick-wt=13): 467 [] 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).
% 92.34/92.43  ---> New Demodulator: 468 [new_demod,467] 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).
% 92.34/92.43  ** KEPT (pick-wt=14): 469 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=10): 470 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 92.34/92.43  ---> New Demodulator: 471 [new_demod,470] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 92.34/92.43  ** KEPT (pick-wt=21): 472 [] 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).
% 92.34/92.43  ** KEPT (pick-wt=12): 473 [] 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)).
% 92.34/92.43  ---> New Demodulator: 474 [new_demod,473] 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)).
% 92.34/92.43  ** KEPT (pick-wt=22): 475 [] 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)).
% 92.34/92.43  ---> New Demodulator: 476 [new_demod,475] 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)).
% 92.34/92.43  ** KEPT (pick-wt=14): 477 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=9): 478 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 92.34/92.43  ---> New Demodulator: 479 [new_demod,478] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 92.34/92.43  ** KEPT (pick-wt=9): 480 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 92.34/92.43  ---> New Demodulator: 481 [new_demod,480] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 92.34/92.43  ** KEPT (pick-wt=13): 482 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=9): 483 [] c_lesse_quals(c_Event_OinitState(A),c_Event_Oknows(A,B),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43    Following clause subsumed by 482 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)).
% 92.34/92.43    Following clause subsumed by 482 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(C,D),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43    Following clause subsumed by 482 during input processing: 0 [] 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)).
% 92.34/92.43  ** KEPT (pick-wt=8): 485 [copy,484,flip.1] c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))=c_NS__Shared__Mirabelle_Ons__sharedp(v_x).
% 92.34/92.43  ---> New Demodulator: 486 [new_demod,485] c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))=c_NS__Shared__Mirabelle_Ons__sharedp(v_x).
% 92.34/92.43  ** KEPT (pick-wt=22): 487 [] c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(B),tc_Message_Omsg)|hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oanalz(B)),tc_nat)).
% 92.34/92.43  ** KEPT (pick-wt=18): 488 [] hBOOL(c_in(A,c_List_Olists(B,C),tc_List_Olist(C)))|hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(B,A,C),c_List_Oset(A,C),C)).
% 92.34/92.43  ** KEPT (pick-wt=10): 489 [] 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)).
% 92.34/92.43    Following clause subsumed by 482 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)).
% 92.34/92.43    Following clause subsumed by 482 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(B,C),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43    Following clause subsumed by 482 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(B,C),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.43  ** KEPT (pick-wt=6): 490 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 92.34/92.43  ---> New Demodulator: 491 [new_demod,490] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 92.34/92.43  ** KEPT (pick-wt=6): 492 [] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 92.34/92.43  ---> New Demodulator: 493 [new_demod,492] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 92.34/92.43  ** KEPT (pick-wt=11): 494 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oused(C),tc_Message_Omsg)).
% 92.34/92.43  ** KEPT (pick-wt=11): 495 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_OinitState(C),tc_Message_Omsg)).
% 92.34/92.43  ** KEPT (pick-wt=25): 496 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A)),c_Message_Oanalz(C),tc_Message_Omsg)).
% 92.34/92.43  ** KEPT (pick-wt=4): 497 [] c_Message_Osynthp(A,c_Message_Omsg_OAgent(B)).
% 92.34/92.43  ** KEPT (pick-wt=12): 498 [] 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).
% 92.34/92.43  ---> New Demodulator: 499 [new_demod,498] 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).
% 92.34/92.43  ** KEPT (pick-wt=16): 500 [] 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).
% 92.34/92.43  ---> New Demodulator: 501 [new_demod,500] 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).
% 92.34/92.43  ** KEPT (pick-wt=9): 502 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 92.34/92.43  ---> New Demodulator: 503 [new_demod,502] hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 92.34/92.43  ** KEPT (pick-wt=16): 504 [] 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).
% 92.34/92.43  ---> New Demodulator: 505 [new_demod,504] 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).
% 92.34/92.44  ** KEPT (pick-wt=8): 506 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 92.34/92.44    Following clause subsumed by 506 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 92.34/92.44    Following clause subsumed by 506 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 92.34/92.44  ** KEPT (pick-wt=8): 507 [] hBOOL(c_in(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)).
% 92.34/92.44  ** KEPT (pick-wt=13): 508 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))),c_Event_Oused(C),tc_Message_Omsg)).
% 92.34/92.44  ** KEPT (pick-wt=19): 509 [] 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).
% 92.34/92.44  ---> New Demodulator: 510 [new_demod,509] 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).
% 92.34/92.44  ** KEPT (pick-wt=6): 511 [] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 92.34/92.44  ---> New Demodulator: 512 [new_demod,511] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 92.34/92.44  ** KEPT (pick-wt=21): 513 [] 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).
% 92.34/92.44  ---> New Demodulator: 514 [new_demod,513] 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).
% 92.34/92.44  ** KEPT (pick-wt=13): 515 [] 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).
% 92.34/92.44  ---> New Demodulator: 516 [new_demod,515] 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).
% 92.34/92.44  ** KEPT (pick-wt=21): 517 [] 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).
% 92.34/92.44  ** KEPT (pick-wt=13): 518 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))),c_Event_OinitState(B),tc_Message_Omsg)).
% 92.34/92.44  ** KEPT (pick-wt=14): 519 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D)).
% 92.34/92.44  ** KEPT (pick-wt=15): 520 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 92.34/92.44  ** KEPT (pick-wt=9): 521 [] hBOOL(c_in(c_List_Olist_ONil(A),c_List_Olists(B,A),tc_List_Olist(A))).
% 92.34/92.44  ** KEPT (pick-wt=13): 522 [] 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).
% 92.34/92.44  ---> New Demodulator: 523 [new_demod,522] 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).
% 92.34/92.44  ** KEPT (pick-wt=12): 524 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 92.34/92.44  ---> New Demodulator: 525 [new_demod,524] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 92.34/92.44    Following clause subsumed by 520 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).
% 92.34/92.44  ** KEPT (pick-wt=15): 526 [] 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).
% 92.34/92.44  ---> New Demodulator: 527 [new_demod,526] 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).
% 92.34/92.44  ** KEPT (pick-wt=4): 528 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))).
% 92.34/92.44  ** KEPT (pick-wt=12): 529 [] 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).
% 92.34/92.44  ---> New Demodulator: 530 [new_demod,529] 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).
% 92.34/92.44  ** KEPT (pick-wt=7): 531 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)).
% 92.34/92.44    Following clause subsumed by 381 during input processing: 0 [demod,510] c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 92.34/92.44  ** KEPT (pick-wt=7): 532 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 92.34/92.44  ** KEPT (pick-wt=7): 533 [] hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,A))=A.
% 92.34/92.44  ---> New Demodulator: 534 [new_demod,533] hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,A))=A.
% 92.34/92.44  ** KEPT (pick-wt=13): 535 [] 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).
% 92.34/92.44  ---> New Demodulator: 536 [new_demod,535] 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).
% 92.34/92.44  ** KEPT (pick-wt=7): 537 [] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 92.34/92.44  ** KEPT (pick-wt=18): 538 [] 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.
% 92.34/92.44  ** KEPT (pick-wt=6): 539 [] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 92.34/92.44  ---> New Demodulator: 540 [new_demod,539] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 92.34/92.44  ** KEPT (pick-wt=13): 541 [] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 92.34/92.44  ---> New Demodulator: 542 [new_demod,541] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 92.34/92.44  ** KEPT (pick-wt=10): 543 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 92.34/92.44  ---> New Demodulator: 544 [new_demod,543] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 92.34/92.44  ** KEPT (pick-wt=7): 545 [] hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Message_OsymKeys,tc_nat)).
% 92.34/92.44  ** KEPT (pick-wt=21): 546 [] 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).
% 92.34/92.44  ---> New Demodulator: 547 [new_demod,546] 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).
% 92.34/92.44    Following clause subsumed by 520 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).
% 92.34/92.44  ** KEPT (pick-wt=18): 548 [] 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).
% 92.34/92.44  ---> New Demodulator: 549 [new_demod,548] 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).
% 92.34/92.44    Following clause subsumed by 520 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).
% 92.34/92.44  ** KEPT (pick-wt=15): 550 [] 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).
% 92.34/92.44  ---> New Demodulator: 551 [new_demod,550] 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).
% 92.34/92.44  ** KEPT (pick-wt=12): 552 [] 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).
% 92.34/92.44  ---> New Demodulator: 553 [new_demod,552] 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).
% 92.34/92.44  ** KEPT (pick-wt=7): 554 [] hBOOL(c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.44    Following clause subsumed by 554 during input processing: 0 [] hBOOL(c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg)).
% 92.34/92.44    Following clause subsumed by 520 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).
% 92.34/92.44  ** KEPT (pick-wt=13): 555 [] 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).
% 92.34/92.44  ---> New Demodulator: 556 [new_demod,555] 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).
% 92.34/92.44    Following clause subsumed by 520 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).
% 92.34/92.44  ** KEPT (pick-wt=13): 557 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)).
% 92.34/92.44    Following clause subsumed by 520 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).
% 92.34/92.44  ** KEPT (pick-wt=17): 558 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C)|hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)).
% 92.34/92.44  ** KEPT (pick-wt=7): 559 [] hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.44  ** KEPT (pick-wt=10): 560 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_OinitState(A),tc_Message_Omsg)).
% 92.34/92.44  ** KEPT (pick-wt=10): 561 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg)).
% 92.34/92.44    Following clause subsumed by 561 during input processing: 0 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg)).
% 92.34/92.44  ** KEPT (pick-wt=12): 562 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg)).
% 92.34/92.44  ** KEPT (pick-wt=5): 563 [] hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)).
% 92.34/92.44  ** KEPT (pick-wt=6): 564 [] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 92.34/92.44  ---> New Demodulator: 565 [new_demod,564] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 92.34/92.44  ** KEPT (pick-wt=11): 566 [] hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(A,B),tc_Message_Omsg)).
% 92.34/92.44  ** KEPT (pick-wt=21): 567 [] hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)).
% 92.34/92.44  ** KEPT (pick-wt=6): 568 [] hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))).
% 92.34/92.44  ** KEPT (pick-wt=2): 569 [] class_Lattices_Oupper__semilattice(tc_nat).
% 92.34/92.44  ** KEPT (pick-wt=2): 570 [] class_Orderings_Opreorder(tc_nat).
% 92.34/92.44  ** KEPT (pick-wt=2): 571 [] class_Orderings_Olinorder(tc_nat).
% 92.34/92.44  ** KEPT (pick-wt=2): 572 [] class_Lattices_Olattice(tc_nat).
% 92.34/92.44  ** KEPT (pick-wt=2): 573 [] class_Orderings_Oorder(tc_nat).
% 92.34/92.44  ** KEPT (pick-wt=2): 574 [] class_Orderings_Obot(tc_nat).
% 92.34/92.44  ** KEPT (pick-wt=2): 575 [] class_HOL_Oord(tc_nat).
% 92.34/92.44  ** KEPT (pick-wt=2): 576 [] class_Lattices_Oupper__semilattice(tc_bool).
% 92.34/92.44  ** KEPT (pick-wt=2): 577 [] class_Lattices_Obounded__lattice(tc_bool).
% 92.34/92.44  ** KEPT (pick-wt=2): 578 [] class_Orderings_Opreorder(tc_bool).
% 92.34/92.44  ** KEPT (pick-wt=2): 579 [] class_Lattices_Olattice(tc_bool).
% 92.34/92.44  ** KEPT (pick-wt=2): 580 [] class_Orderings_Oorder(tc_bool).
% 92.34/92.44  ** KEPT (pick-wt=2): 581 [] class_Orderings_Otop(tc_bool).
% 92.34/92.44  ** KEPT (pick-wt=2): 582 [] class_Orderings_Obot(tc_bool).
% 92.34/92.44  ** KEPT (pick-wt=2): 583 [] class_HOL_Oord(tc_bool).
% 92.34/92.44  ** KEPT (pick-wt=4): 584 [] c_fe_qual(A,A,B).
% 92.34/92.44    Following clause subsumed by 381 during input processing: 0 [copy,381,flip.1] A=A.
% 92.34/92.44  381 back subsumes 380.
% 92.34/92.44  381 back subsumes 371.
% 92.34/92.44  381 back subsumes 370.
% 92.34/92.44  >>>> Starting back demodulation with 383.
% 92.34/92.44      >> back demodulating 33 with 383.
% 92.34/92.44  ** KEPT (pick-wt=13): 586 [copy,384,flip.1,demod,402,402] c_Set_Oimage(A,c_List_Oset(c_List_Olist_ONil(B),B),B,C)=c_List_Oset(c_List_Olist_ONil(C),C).
% 92.34/92.44  ** KEPT (pick-wt=17): 587 [copy,385,flip.1,demod,402] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(B),B),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 92.34/92.44  ** KEPT (pick-wt=13): 588 [copy,386,flip.1,demod,402,402] c_List_Oset(c_List_Olist_ONil(A),A)=c_Set_Oimage(B,c_List_Oset(c_List_Olist_ONil(C),C),C,A).
% 92.34/92.44    Following clause subsumed by 520 during input processing: 0 [copy,387,flip.1,demod,402,402] c_Set_Oinsert(A,c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(C),C),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(C),C),C),C).
% 92.34/92.44  ** KEPT (pick-wt=35): 589 [copy,388,flip.1,demod,402,402,420] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)).
% 92.34/92.44  >>>> Starting back demodulation with 391.
% 92.34/92.44  >>>> Starting back demodulation with 393.
% 92.34/92.44  >>>> Starting back demodulation with 395.
% 92.34/92.44  >>>> Starting back demodulation with 397.
% 92.34/92.44  ** KEPT (pick-wt=20): 590 [copy,398,flip.1,demod,402] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)).
% 92.34/92.44  >>>> Starting back demodulation with 402.
% 92.34/92.44      >> back demodulating 399 with 402.
% 92.34/92.44      >> back demodulating 398 with 402.
% 92.34/92.44      >> back demodulating 396 with 402.
% 92.34/92.44      >> back demodulating 394 with 402.
% 92.34/92.44      >> back demodulating 392 with 402.
% 92.34/92.44      >> back demodulating 390 with 402.
% 92.34/92.44      >> back demodulating 389 with 402.
% 92.34/92.44      >> back demodulating 388 with 402.
% 92.34/92.44      >> back demodulating 387 with 402.
% 92.34/92.44      >> back demodulating 386 with 402.
% 92.34/92.44      >> back demodulating 385 with 402.
% 92.34/92.44      >> back demodulating 384 with 402.
% 92.34/92.44      >> back demodulating 382 with 402.
% 92.34/92.44      >> back demodulating 363 with 402.
% 92.34/92.44      >> back demodulating 362 with 402.
% 92.34/92.44      >> back demodulating 361 with 402.
% 92.34/92.44      >> back demodulating 360 with 402.
% 92.34/92.44      >> back demodulating 79 with 402.
% 92.34/92.44      >> back demodulating 78 with 402.
% 92.34/92.44      >> back demodulating 34 with 402.
% 92.34/92.44      >> back demodulating 32 with 402.
% 92.34/92.44      >> back demodulating 31 with 402.
% 92.34/92.44      >> back demodulating 30 with 402.
% 92.34/92.44      >> back demodulating 29 with 402.
% 92.34/92.44      >> back demodulating 28 with 402.
% 92.34/92.44      >> back demodulating 27 with 402.
% 92.34/92.44      >> back demodulating 26 with 402.
% 92.34/92.44      >> back demodulating 25 with 402.
% 92.34/92.44      >> back demodulating 24 with 402.
% 92.34/92.44      >> back demodulating 23 with 402.
% 92.34/92.44      >> back demodulating 22 with 402.
% 92.34/92.44      >> back demodulating 21 with 402.
% 92.34/92.44      >> back demodulating 20 with 402.
% 92.34/92.44      >> back demodulating 17 with 402.
% 92.34/92.44      >> back demodulating 14 with 402.
% 92.34/92.44      >> back demodulating 11 with 402.
% 92.34/92.44      >> back demodulating 10 with 402.
% 92.34/92.44      >> back demodulating 9 with 402.
% 92.34/92.44      >> back demodulating 6 with 402.
% 92.34/92.44    Following clause subsumed by 590 during input processing: 0 [copy,404,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(B,C)),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(B,C),tc_Message_Omsg)).
% 92.34/92.44  ** KEPT (pick-wt=72): 631 [copy,406,flip.1,demod,420] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OFriend(A)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OFriend(A)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OFriend(A))),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_OinitState(c_Message_Oagent_OFriend(A)).
% 92.34/92.44  >>>> Starting back demodulation with 409.
% 92.34/92.44  ** KEPT (pick-wt=19): 632 [copy,411,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)).
% 92.34/92.44  >>>> Starting back demodulation with 413.
% 92.34/92.44      >> back demodulating 375 with 413.
% 92.34/92.44      >> back demodulating 373 with 413.
% 92.34/92.44      >> back demodulating 372 with 413.
% 92.34/92.44      >> back demodulating 369 with 413.
% 92.34/92.44      >> back demodulating 367 with 413.
% 92.34/92.44      >> back demodulating 365 with 413.
% 92.34/92.44      >> back demodulating 364 with 413.
% 92.34/92.44  >>>> Starting back demodulation with 417.
% 92.34/92.44    Following clause subsumed by 418 during input processing: 0 [copy,418,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)).
% 92.34/92.44  >>>> Starting back demodulation with 420.
% 92.34/92.44      >> back demodulating 406 with 420.
% 92.34/92.44    Following clause subsumed by 423 during input processing: 0 [copy,423,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)).
% 92.34/92.44  >>>> Starting back demodulation with 425.
% 92.34/92.44  >>>> Starting back demodulation with 427.
% 92.34/92.44      >> back demodulating 415 with 427.
% 92.34/92.44      >> back demodulating 368 with 427.
% 92.34/92.44      >> back demodulating 152 with 427.
% 92.34/92.44      >> back demodulating 124 with 427.
% 92.34/92.44      >> back demodulating 76 with 427.
% 92.34/92.44  430 back subsumes 170.
% 92.34/92.44  >>>> Starting back demodulation with 433.
% 92.34/92.44  >>>> Starting back demodulation with 436.
% 92.34/92.44  ** KEPT (pick-wt=22): 636 [copy,438,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(C,A),B,tc_Event_Oevent)).
% 92.34/92.44  ** KEPT (pick-wt=23): 637 [copy,440,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,A),B,tc_Event_Oevent)).
% 92.34/92.44  >>>> Starting back demodulation with 442.
% 92.34/92.44  >>>> Starting back demodulation with 444.
% 92.34/92.44    Following clause subsumed by 456 during input processing: 0 [copy,450,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)).
% 92.34/92.44  453 back subsumes 446.
% 92.34/92.44  >>>> Starting back demodulation with 455.
% 92.34/92.44    Following clause subsumed by 450 during input processing: 0 [copy,456,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).
% 92.34/92.44  >>>> Starting back demodulation with 460.
% 92.34/92.44  >>>> Starting back demodulation with 462.
% 92.34/92.44  >>>> Starting back demodulation with 465.
% 92.34/92.44    Following clause subsumed by 520 during input processing: 0 [copy,466,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).
% 92.34/92.44  >>>> Starting back demodulation with 468.
% 92.34/92.44  >>>> Starting back demodulation with 471.
% 92.34/92.44    Following clause subsumed by 520 during input processing: 0 [copy,472,flip.1] c_Set_Oinsert(c_Message_Omsg_OHash(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_OHash(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 92.34/92.44  >>>> Starting back demodulation with 474.
% 92.34/92.44  >>>> Starting back demodulation with 476.
% 92.34/92.44  >>>> Starting back demodulation with 479.
% 92.34/92.44  >>>> Starting back demodulation with 481.
% 92.34/92.44  >>>> Starting back demodulation with 486.
% 92.34/92.44  >>>> Starting back demodulation with 491.
% 92.34/92.44  >>>> Starting back demodulation with 493.
% 92.34/92.44  >>>> Starting back demodulation with 499.
% 92.34/92.44      >> back demodulating 187 with 499.
% 92.34/92.44  >>>> Starting back demodulation with 501.
% 92.34/92.44  >>>> Starting back demodulation with 503.
% 92.34/92.44  >>>> Starting back demodulation with 505.
% 92.34/92.44      >> back demodulating 280 with 505.
% 92.34/92.44  >>>> Starting back demodulation with 510.
% 92.34/92.44      >> back demodulating 241 with 510.
% 92.34/92.44  >>>> Starting back demodulation with 512.
% 92.34/92.44      >> back demodulating 223 with 512.
% 92.34/92.44  >>>> Starting back demodulation with 514.
% 92.34/92.44  >>>> Starting back demodulation with 516.
% 92.34/92.44    Following clause subsumed by 520 during input processing: 0 [copy,517,flip.1] c_Set_Oinsert(c_Message_Omsg_ONonce(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_ONonce(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 92.34/92.44    Following clause subsumed by 520 during input processing: 0 [copy,520,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 92.34/92.44  520 back subsumes 517.
% 92.34/92.44  520 back subsumes 472.
% 92.34/92.44  520 back subsumes 466.
% 92.34/92.44  >>>> Starting back demodulation with 523.
% 92.34/92.44  >>>> Starting back demodulation with 525.
% 92.34/92.44  >>>> Starting back demodulation with 527.
% 92.34/92.44  >>>> Starting back demodulation with 530.
% 92.34/92.44  >>>> Starting back demodulation with 534.
% 92.34/92.44  >>>> Starting back demodulation with 536.
% 92.34/92.44  ** KEPT (pick-wt=7): 639 [copy,537,flip.1] c_Event_OinitState(A)=c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)).
% 92.34/92.44  >>>> Starting back demodulation with 540.
% 92.34/92.44      >> back demodulating 225 with 540.
% 92.34/92.44  >>>> Starting back demodulation with 542.
% 92.34/92.44      >> back demodulating 457 with 542.
% 92.34/92.44      >> back demodulating 206 with 542.
% 92.34/92.44  >>>> Starting back demodulation with 544.
% 92.34/92.44  >>>> Starting back demodulation with 547.
% 92.34/92.44  >>>> Starting back demodulation with 549.
% 92.34/92.44  >>>> Starting back demodulation with 551.
% 92.34/92.44  >>>> Starting back demodulation with 553.
% 92.34/92.44  >>>> Starting back demodulation with 556.
% 92.34/92.44  >>>> Starting back demodulation with 565.
% 92.34/92.44      >> back demodulating 327 with 565.
% 92.34/92.44    Following clause subsumed by 588 during input processing: 0 [copy,586,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)=c_Set_Oimage(B,c_List_Oset(c_List_Olist_ONil(C),C),C,A).
% 92.34/92.44    Following clause subsumed by 602 during input processing: 0 [copy,587,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(C),C),C),B,tc_fun(C,tc_bool)).
% 92.34/92.44    Following clause subsumed by 586 during input processing: 0 [copy,588,flip.1] c_Set_Oimage(A,c_List_Oset(c_List_Olist_ONil(B),B),B,C)=c_List_Oset(c_List_Olist_ONil(C),C).
% 92.34/92.44    Following clause subsumed by 601 during input processing: 0 [copy,589,flip.1] c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.44    Following clause subsumed by 591 during input processing: 0 [copy,590,flip.1] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.44    Following clause subsumed by 590 during input processing: 0 [copy,591,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)).
% 92.34/92.44  591 back subsumes 404.
% 92.34/92.44  >>>> Starting back demodulation with 593.
% 92.34/92.44  >>>> Starting back demodulation with 595.
% 92.34/92.44  >>>> Starting back demodulation with 597.
% 92.34/92.44  >>>> Starting back demodulation with 599.
% 92.34/92.44    Following clause subsumed by 589 during input processing: 0 [copy,601,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)).
% 92.34/92.44    Following clause subsumed by 587 during input processing: 0 [copy,602,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(B),B),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 92.34/92.44  >>>> Starting back demodulation with 604.
% 92.34/92.44      >> back demodulating 585 with 604.
% 92.34/92.44    Following clause subsumed by 625 during input processing: 0 [copy,617,flip.1] c_Set_Oinsert(A,B,C)!=c_List_Oset(c_List_Olist_ONil(C),C).
% 92.34/92.44    Following clause subsumed by 617 during input processing: 0 [copy,625,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)!=c_Set_Oinsert(B,C,A).
% 92.34/92.44    Following clause subsumed by 633 during input processing: 0 [copy,631,flip.1] c_Event_OinitState(c_Message_Oagent_OFriend(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OFriend(A)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OFriend(A)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OFriend(A))),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.34/92.44    Following clause subsumed by 411 during input processing: 0 [copy,632,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)).
% 92.54/92.70    Following clause subsumed by 631 during input processing: 0 [copy,633,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OFriend(A)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OFriend(A)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OFriend(A))),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_OinitState(c_Message_Oagent_OFriend(A)).
% 92.54/92.70    Following clause subsumed by 438 during input processing: 0 [copy,636,flip.1] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.54/92.70    Following clause subsumed by 440 during input processing: 0 [copy,637,flip.1] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(C,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(D),tc_fun(tc_Message_Omsg,tc_bool)).
% 92.54/92.70    Following clause subsumed by 537 during input processing: 0 [copy,639,flip.1] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 92.54/92.70  
% 92.54/92.70  ======= end of input processing =======
% 92.54/92.70  
% 92.54/92.70  =========== start of search ===========
% 92.54/92.70  
% 92.54/92.70  
% 92.54/92.70  Resetting weight limit to 2.
% 92.54/92.70  
% 92.54/92.70  
% 92.54/92.70  Resetting weight limit to 2.
% 92.54/92.70  
% 92.54/92.70  sos_size=168
% 92.54/92.70  
% 92.54/92.70  Search stopped in tp_alloc by max_mem option.
% 92.54/92.70  
% 92.54/92.70  Search stopped in tp_alloc by max_mem option.
% 92.54/92.70  
% 92.54/92.70  ============ end of search ============
% 92.54/92.70  
% 92.54/92.70  -------------- statistics -------------
% 92.54/92.70  clauses given                 88
% 92.54/92.70  clauses generated          22293
% 92.54/92.70  clauses kept                 566
% 92.54/92.70  clauses forward subsumed     157
% 92.54/92.70  clauses back subsumed         18
% 92.54/92.70  Kbytes malloced            11718
% 92.54/92.70  
% 92.54/92.70  ----------- times (seconds) -----------
% 92.54/92.70  user CPU time          0.33          (0 hr, 0 min, 0 sec)
% 92.54/92.70  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 92.54/92.70  wall-clock time       93             (0 hr, 1 min, 33 sec)
% 92.54/92.70  
% 92.54/92.70  Process 10068 finished Wed Jul 27 06:27:56 2022
% 92.54/92.70  Otter interrupted
% 92.54/92.70  PROOF NOT FOUND
%------------------------------------------------------------------------------