TSTP Solution File: SWV731-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV731-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 177.97s 178.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV731-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 06:15:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 177.91/177.97 ----- Otter 3.3f, August 2004 -----
% 177.91/177.97 The process was started by sandbox2 on n005.cluster.edu,
% 177.91/177.97 Wed Jul 27 06:15:50 2022
% 177.91/177.97 The command was "./otter". The process ID is 26313.
% 177.91/177.97
% 177.91/177.97 set(prolog_style_variables).
% 177.91/177.97 set(auto).
% 177.91/177.97 dependent: set(auto1).
% 177.91/177.97 dependent: set(process_input).
% 177.91/177.97 dependent: clear(print_kept).
% 177.91/177.97 dependent: clear(print_new_demod).
% 177.91/177.97 dependent: clear(print_back_demod).
% 177.91/177.97 dependent: clear(print_back_sub).
% 177.91/177.97 dependent: set(control_memory).
% 177.91/177.97 dependent: assign(max_mem, 12000).
% 177.91/177.97 dependent: assign(pick_given_ratio, 4).
% 177.91/177.97 dependent: assign(stats_level, 1).
% 177.91/177.97 dependent: assign(max_seconds, 10800).
% 177.91/177.97 clear(print_given).
% 177.91/177.97
% 177.91/177.97 list(usable).
% 177.91/177.97 0 [] A=A.
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Message_OkeysFor(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))))).
% 177.91/177.97 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)).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_evs))).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Public_Okeymode_OEncryption!=c_Public_Okeymode_OSignature.
% 177.91/177.97 0 [] hBOOL(hAPP(V_P,V_keymode))| -hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))| -hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)).
% 177.91/177.97 0 [] c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption.
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 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))).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_ONonce(V_nat_H)|V_nat=V_nat_H.
% 177.91/177.97 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)).
% 177.91/177.97 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 177.91/177.97 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 177.91/177.97 0 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a)=V_S| -c_lesse_quals(V_S,V_A,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 177.91/177.97 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 177.91/177.97 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(V_K,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 177.91/177.97 0 [] c_Set_Oimage(V_f,V_A,T_a,T_a)=V_A| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 177.91/177.97 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.
% 177.91/177.97 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.
% 177.91/177.97 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.
% 177.91/177.97 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.
% 177.91/177.97 0 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))).
% 177.91/177.97 0 [] c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] c_lesse_quals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] hBOOL(c_Message_Osynthp(V_H,c_Message_Omsg_OHash(V_X)))| -hBOOL(c_Message_Osynthp(V_H,V_X)).
% 177.91/177.97 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Fun_Osurj(V_f,T_a,T_b)| -c_Fun_Obij(V_f,T_a,T_b).
% 177.91/177.97 0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 177.91/177.97 0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 177.91/177.97 0 [] c_lesse_quals(V_R,V_S,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] c_lesse_quals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_R,V_S,tc_fun(T_a,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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.
% 177.91/177.97 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.
% 177.91/177.97 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.
% 177.91/177.97 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.
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 177.91/177.97 0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OHash(V_msg_H)|V_msg=V_msg_H.
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a)=V_f| -c_Fun_Obij(V_f,T_a,T_b).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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))).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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.
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_Event_Oevent_OGets(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 177.91/177.97 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 177.91/177.97 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(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),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a).
% 177.91/177.97 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 177.91/177.97 0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 177.91/177.97 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 177.91/177.97 0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 177.91/177.97 0 [] c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool)!=c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool)|V_R=V_S.
% 177.91/177.97 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OHash(V_msg).
% 177.91/177.97 0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 177.91/177.97 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 177.91/177.97 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONonce(V_nat).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_lesse_quals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 177.91/177.97 0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 177.91/177.97 0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 177.91/177.97 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 177.91/177.97 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OHash(V_msg).
% 177.91/177.97 0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONonce(V_nat).
% 177.91/177.97 0 [] c_Message_Omsg_OHash(V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 177.91/177.97 0 [] c_Message_Omsg_ONonce(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 177.91/177.97 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 177.91/177.97 0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 177.91/177.97 0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 177.91/177.97 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONonce(V_nat_H).
% 177.91/177.97 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OHash(V_msg_H).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(V_f,V_g,T_a,T_c,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)))).
% 177.91/177.97 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))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -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_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a)=V_X| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a)=V_A| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Set_Oimage(V_f,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_A,T_b,T_a),T_a,T_b)=V_A| -c_Fun_Osurj(V_f,T_a,T_b).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_x)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(V_X)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg))).
% 177.91/177.97 0 [] c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(c_List_Oset(V_xs,T_a),T_a).
% 177.91/177.97 0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OGets(V_agent,V_msg).
% 177.91/177.97 0 [] c_lesse_quals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 177.91/177.97 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b))))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a)| -c_Fun_Obij(V_f,T_a,T_b).
% 177.91/177.97 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 177.91/177.97 0 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),V_G)).
% 177.91/177.97 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),V_C,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(V_K,V_KK,tc_nat),tc_nat,tc_Message_Omsg),V_C,tc_fun(tc_Message_Omsg,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 177.91/177.97 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 177.91/177.97 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 177.91/177.97 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)).
% 177.91/177.97 0 [] V_b=V_a| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 177.91/177.97 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(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 177.91/177.97 0 [] hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x)!=hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y)|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(T_b),V_y),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),c_Set_Oimage(V_f,V_A,T_a,T_b))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 177.91/177.97 0 [] hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y))=V_y| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 177.91/177.97 0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))).
% 177.91/177.97 0 [] hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x))=V_x| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)|hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x))=V_x.
% 177.91/177.97 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_List_Oset(c_List_Olist_ONil(T_a),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_List_Oset(c_List_Olist_ONil(T_a),T_a).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_G)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H)))| -c_lesse_quals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_G))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(V_G))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))| -c_lesse_quals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_G))).
% 177.91/177.97 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a).
% 177.91/177.97 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 177.91/177.97 0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B.
% 177.91/177.97 0 [] c_Finite__Set_Ofinite(V_A,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_b,T_a)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_n)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_n)),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),V_H)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(V_X)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(V_X)),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))| -c_lesse_quals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_G))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(V_X)),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.91/177.97 0 [] c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)| -c_Fun_Obij(V_f,T_a,T_b).
% 177.91/177.97 0 [] hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x))=V_x| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)|hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x))=V_x.
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_G)))).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_x)),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_x)),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_x),V_A)).
% 177.91/177.97 0 [] hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_y))=V_y| -c_Fun_Osurj(V_f,T_a,T_b).
% 177.91/177.97 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 177.91/177.97 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 177.91/177.97 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)).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_lesse_quals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.91/177.97 0 [] c_Fun_Obij(V_f,T_a,T_b)| -c_Fun_Osurj(V_f,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] c_Fun_Obij(V_f,T_a,T_b)| -c_Fun_Osurj(V_f,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_a)| -c_Fun_Osurj(V_f,T_a,T_a)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 177.91/177.97 0 [] c_Fun_Osurj(V_f,T_a,T_a)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_a)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 177.91/177.97 0 [] c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)| -c_Fun_Osurj(V_f,T_a,T_b).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),c_Message_Oparts(c_Event_OinitState(V_B)))).
% 177.91/177.97 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).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A))!=hAPP(c_Public_OshrK,V_B).
% 177.91/177.97 0 [] c_Message_OkeysFor(c_Set_Oimage(c_Message_Omsg_OKey,V_E,tc_nat,tc_Message_Omsg))=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(v_x)=hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_x),c_NS__Shared__Mirabelle_Ons__shared).
% 177.91/177.97 0 [] c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(V_C)))=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_N)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_NA)),c_Event_Oused(V_evs1)))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1)).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_y)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)|V_y=c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__1(hAPP(V_f,V_y),V_f,T_a,T_aa).
% 177.91/177.97 0 [] V_b=hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__1(V_b,V_f,T_b,T_a))| -hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa)!=V_x| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a))).
% 177.91/177.97 0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)))|hAPP(V_f,V_x)=hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))),c_Message_Oanalz(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y))),c_Message_Osynth(c_Message_Oanalz(V_H))))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] c_Message_Osynthp(c_COMBC(c_in(tc_Message_Omsg),V_H,tc_Message_Omsg,tc_fun(tc_Message_Omsg,tc_bool),tc_bool),v_x)=hAPP(hAPP(c_in(tc_Message_Omsg),v_x),c_Message_Osynth(V_H)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H))).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat).
% 177.91/177.97 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.
% 177.91/177.97 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)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_OinitState(V_A)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OGets(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))|V_A=c_Message_Oagent_OSpy| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(V_A,V_evs))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_OinitState(c_Message_Oagent_OSpy)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.91/177.97 0 [] V_b=V_c| -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A))),c_Message_OsymKeys)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Z),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_G)))| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_G)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))))| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),V_nE)).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))|V_A=c_Message_Oagent_OServer| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(V_A,V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OGets(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent)))|V_A=c_Message_Oagent_OSpy.
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),V_AS)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),V_AS))| -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5)).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evso)).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_NB)),c_Event_Oused(V_evs4)))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4)).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf)))))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf)).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_KAB),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_KAB)),c_Event_Oused(V_evs2)))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oparts(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_nat),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))))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_NA)),c_Event_Oused(V_evs1)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs1),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))|V_A=c_Message_Oagent_OServer| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs3),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs5),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evso),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(V_NB)),c_Event_Oused(V_evs4)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs4),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_KAB),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_KAB)),c_Event_Oused(V_evs2)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs2),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_x=V_y.
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))).
% 177.91/177.97 0 [] hBOOL(c_Message_Osynthp(V_H,c_Message_Omsg_OAgent(V_agt))).
% 177.91/177.97 0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OSpy.
% 177.91/177.97 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 177.91/177.97 0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Public_OpublicKey(V_b),V_C).
% 177.91/177.97 0 [] hAPP(c_Public_OpublicKey(V_b),V_C)!=hAPP(c_Public_OshrK,V_A).
% 177.91/177.97 0 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A))=hAPP(c_Public_OshrK,V_A).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf)))))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evsf),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OkeysFor(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_K)),c_Message_OkeysFor(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H)).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad)).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent))).
% 177.91/177.97 0 [] V_K_H=hAPP(c_Public_OshrK,V_A)| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.91/177.97 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Event_Oused(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Event_Oused(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Event_Oused(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_G))).
% 177.91/177.97 0 [] c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oparts(V_H)| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K))),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_B))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs))).
% 177.91/177.97 0 [] c_Message_Oanalz(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 177.91/177.97 0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)))).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a)=c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a).
% 177.91/177.97 0 [] hBOOL(c_Message_Osynthp(V_H,c_Message_Omsg_OMPair(V_X,V_Y)))| -hBOOL(c_Message_Osynthp(V_H,V_Y))| -hBOOL(c_Message_Osynthp(V_H,V_X)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Event_OinitState(V_B)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(c_Message_Oanalz(V_H))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Osynth(V_H)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),V_H)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),V_H)).
% 177.91/177.97 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 177.91/177.97 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_A=V_B.
% 177.91/177.97 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 177.91/177.97 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 177.91/177.97 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 177.91/177.97 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))).
% 177.91/177.97 0 [] hAPP(V_Abs,V_x)!=hAPP(V_Abs,V_y)| -hBOOL(hAPP(hAPP(c_in(T_b),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))| -c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)|V_x=V_y.
% 177.91/177.97 0 [] hAPP(V_Rep,hAPP(V_Abs,V_y))=V_y| -hBOOL(hAPP(hAPP(c_in(T_b),V_y),V_A))| -c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))|V_a=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_Rep,V_x)),V_A))| -c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)))),c_Event_Oused(V_evs))).
% 177.91/177.97 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).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oanalz(V_G))).
% 177.91/177.97 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 177.91/177.97 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys)).
% 177.91/177.97 0 [] c_Message_Osynth(c_Message_Osynth(V_H))=c_Message_Osynth(V_H).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 177.91/177.97 0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 177.91/177.97 0 [] c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oanalz(V_H)| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 177.91/177.97 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(V_A,V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_List_Oset(V_xs,T_a)))|V_y=V_x| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)))),c_Event_OinitState(V_A))).
% 177.91/177.97 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_b=V_c.
% 177.91/177.97 0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_A=V_A_H.
% 177.91/177.97 0 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))!=hAPP(c_Public_OpublicKey(V_c),V_A_H).
% 177.91/177.97 0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 177.91/177.97 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 177.91/177.97 0 [] hAPP(c_Message_OinvKey,V_K)!=hAPP(c_Message_OinvKey,V_K_H)|V_K=V_K_H.
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent))).
% 177.91/177.97 0 [] hAPP(V_Rep,V_x)!=hAPP(V_Rep,V_y)| -c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)|V_x=V_y.
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)))).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_K)),c_Message_OsymKeys)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,V_K)),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys)).
% 177.91/177.97 0 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 177.91/177.97 0 [] hAPP(c_Message_OinvKey,V_K)=V_K| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys)).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 177.91/177.97 0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 177.91/177.97 0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oused(V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(V_A,V_X)),c_List_Oset(V_evs,tc_Event_Oevent))).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hAPP(V_Abs,hAPP(V_Rep,V_x))=V_x| -c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OkeysFor(c_Message_Oanalz(V_H)))).
% 177.91/177.97 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 177.91/177.97 0 [] hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K))=V_K.
% 177.91/177.97 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.
% 177.91/177.97 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.
% 177.91/177.97 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.
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Message_OsymKeys)).
% 177.91/177.97 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).
% 177.91/177.97 0 [] c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(V_A).
% 177.91/177.97 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.
% 177.91/177.97 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.
% 177.91/177.97 0 [] hBOOL(c_Message_Osynthp(V_H,V_X))| -hBOOL(hAPP(V_H,V_X)).
% 177.91/177.97 0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)).
% 177.91/177.97 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)).
% 177.91/177.97 0 [] c_Message_Oanalz(c_Message_Oanalz(V_H))=c_Message_Oanalz(V_H).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Event_Oknows(V_A,V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(V_A,V_B,V_X)),c_List_Oset(V_evs,tc_Event_Oevent))).
% 177.91/177.97 0 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C))!=hAPP(c_Public_OshrK,V_A).
% 177.91/177.97 0 [] hAPP(c_Public_OpublicKey(V_c),V_A_H)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)).
% 177.91/177.97 0 [] c_Set_Oimage(V_Rep,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)=V_A| -c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b).
% 177.91/177.97 0 [] c_Set_Oimage(V_Abs,V_A,T_b,T_a)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))| -c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b).
% 177.91/177.97 0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B.
% 177.91/177.97 0 [] c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a).
% 177.91/177.97 0 [] c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool))| -c_Fun_Osurj(V_f,T_a,T_b).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Osynth(V_H))).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OAgent(V_agt)),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OAgent(V_A)),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hBOOL(c_Message_Osynthp(V_H,c_Message_Omsg_OCrypt(V_K,V_X)))| -hBOOL(hAPP(V_H,hAPP(c_Message_Omsg_OKey,V_K)))| -hBOOL(c_Message_Osynthp(V_H,V_X)).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.91/177.97 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).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))).
% 177.91/177.97 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).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,V_X)),c_Message_OsymKeys)).
% 177.91/177.97 0 [] V_b=V_c| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat))).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_ONil(tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] c_Fun_Oinj__on(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),c_Message_Oagent_OServer),c_Event_Obad)).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),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)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_K),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Event_Oused(V_evs))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 177.91/177.97 0 [] V_b=hAPP(V_f,c_ATP__Linkup_Osko__Set__XrangeE__1__1(V_b,V_f,T_a,T_b))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Oparts(c_Event_OinitState(V_B)))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Osynth(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),V_H))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Osynth(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_x)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),V_x),V_A)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_x)),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Event_OinitState(V_A))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Event_Oused(V_evs))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B))),c_Event_Oused(V_evs))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad)).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,V_x)),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_x),V_xa)),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_xa),V_AA)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_x),V_AA))| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared))|hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oanalz(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X)),c_Message_Oanalz(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Event_Oused(V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_c),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),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)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,V_K)),c_Event_Oused(V_evs))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OAgent(V_agent_H)|V_agent=V_agent_H.
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_Y),c_Message_Oparts(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(V_H))).
% 177.91/177.97 0 [] c_Message_Omsg_OAgent(V_agent)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),V_H)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),c_Message_Oagent_OSpy),c_Event_Obad)).
% 177.91/177.97 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 177.91/177.97 0 [] c_Message_Oparts(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 177.91/177.97 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 177.91/177.97 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OAgent(V_agent).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(V_K,V_X)),c_Message_Oparts(V_H))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),V_evs),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(V_H)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),V_X),c_Message_Oparts(c_Message_Oparts(V_H)))).
% 177.91/177.97 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H)|V_nat=V_nat_H.
% 177.91/177.97 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_A),c_Event_Obad)).
% 177.91/177.97 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 177.91/177.97 0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 177.91/177.97 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A))),c_Event_Oknows(V_A,V_evs))).
% 177.91/177.97 0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| -hBOOL(hAPP(V_S,V_x)).
% 177.91/177.97 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),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))).
% 177.91/177.97 0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_nat=V_nat_H.
% 177.91/177.97 0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_msg=V_msg_H.
% 177.91/177.97 0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg1=V_msg1_H.
% 177.91/177.97 0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg2=V_msg2_H.
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_x),V_AA)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),V_x),V_AA))| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat))).
% 177.91/177.97 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OMPair(V_msg1,V_msg2).
% 177.91/177.97 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 177.91/177.97 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 177.91/177.97 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 177.91/177.97 0 [] hAPP(c_Public_OshrK,V_x)!=hAPP(c_Public_OshrK,V_y)|V_x=V_y.
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))).
% 177.91/177.97 0 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)).
% 177.91/177.97 0 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.91/177.97 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(hAPP(hAPP(c_in(tc_nat),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))).
% 177.91/177.97 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 177.91/177.97 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 177.91/177.97 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 177.91/177.97 0 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 177.91/177.97 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 177.91/177.97 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 177.91/177.97 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 177.91/177.97 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 177.91/177.97 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 177.91/177.97 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 177.91/177.97 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 177.91/177.97 0 [] class_Orderings_Opreorder(tc_nat).
% 177.91/177.97 0 [] class_Orderings_Olinorder(tc_nat).
% 177.91/177.97 0 [] class_Lattices_Olattice(tc_nat).
% 177.91/177.97 0 [] class_Orderings_Oorder(tc_nat).
% 177.91/177.97 0 [] class_Orderings_Obot(tc_nat).
% 177.91/177.97 0 [] class_HOL_Oord(tc_nat).
% 177.91/177.97 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 177.91/177.98 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 177.91/177.98 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 177.91/177.98 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 177.91/177.98 0 [] class_Orderings_Opreorder(tc_bool).
% 177.91/177.98 0 [] class_Lattices_Olattice(tc_bool).
% 177.91/177.98 0 [] class_Orderings_Oorder(tc_bool).
% 177.91/177.98 0 [] class_Orderings_Otop(tc_bool).
% 177.91/177.98 0 [] class_Orderings_Obot(tc_bool).
% 177.91/177.98 0 [] class_HOL_Oord(tc_bool).
% 177.91/177.98 0 [] c_fe_qual(V_x,V_x,T_a).
% 177.91/177.98 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 177.91/177.98 end_of_list.
% 177.91/177.98
% 177.91/177.98 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 177.91/177.98
% 177.91/177.98 This ia a non-Horn set with equality. The strategy will be
% 177.91/177.98 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 177.91/177.98 deletion, with positive clauses in sos and nonpositive
% 177.91/177.98 clauses in usable.
% 177.91/177.98
% 177.91/177.98 dependent: set(knuth_bendix).
% 177.91/177.98 dependent: set(anl_eq).
% 177.91/177.98 dependent: set(para_from).
% 177.91/177.98 dependent: set(para_into).
% 177.91/177.98 dependent: clear(para_from_right).
% 177.91/177.98 dependent: clear(para_into_right).
% 177.91/177.98 dependent: set(para_from_vars).
% 177.91/177.98 dependent: set(eq_units_both_ways).
% 177.91/177.98 dependent: set(dynamic_demod_all).
% 177.91/177.98 dependent: set(dynamic_demod).
% 177.91/177.98 dependent: set(order_eq).
% 177.91/177.98 dependent: set(back_demod).
% 177.91/177.98 dependent: set(lrpo).
% 177.91/177.98 dependent: set(hyper_res).
% 177.91/177.98 dependent: set(unit_deletion).
% 177.91/177.98 dependent: set(factor).
% 177.91/177.98
% 177.91/177.98 ------------> process usable:
% 177.91/177.98 ** KEPT (pick-wt=30): 1 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(B)))).
% 177.91/177.98 ** KEPT (pick-wt=38): 2 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),C),c_Message_Osynth(c_Message_Oanalz(B))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)))).
% 177.91/177.98 ** KEPT (pick-wt=11): 3 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))))).
% 177.91/177.98 ** KEPT (pick-wt=22): 4 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oused(B))).
% 177.91/177.98 ** KEPT (pick-wt=3): 6 [copy,5,flip.1] c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption.
% 177.91/177.98 ** KEPT (pick-wt=12): 7 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_Public_Okeymode_OEncryption))| -hBOOL(hAPP(A,c_Public_Okeymode_OSignature)).
% 177.91/177.98 Following clause subsumed by 6 during input processing: 0 [] c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption.
% 177.91/177.98 ** KEPT (pick-wt=17): 8 [] -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).
% 177.91/177.98 ** KEPT (pick-wt=17): 9 [] -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).
% 177.91/177.98 ** KEPT (pick-wt=15): 10 [] 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)).
% 177.91/177.98 ** KEPT (pick-wt=15): 11 [] 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)).
% 177.91/177.98 ** KEPT (pick-wt=8): 12 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONonce(B)|A=B.
% 177.91/177.98 ** KEPT (pick-wt=8): 13 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 177.91/177.98 ** KEPT (pick-wt=26): 14 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(A,B,C,D),c_Set_Oimage(B,E,C,D),D,C)=E| -c_lesse_quals(E,A,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(B,A,C,D).
% 177.97/177.98 ** KEPT (pick-wt=19): 15 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=16): 16 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,c_Set_Oimage(C,D,E,B),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(D,E).
% 177.97/177.98 ** KEPT (pick-wt=15): 17 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=15): 18 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=11): 19 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 177.97/177.98 ** KEPT (pick-wt=8): 20 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 177.97/177.98 ** KEPT (pick-wt=14): 21 [] c_lesse_quals(c_Message_Osynth(A),c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=7): 22 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 177.97/177.98 ** KEPT (pick-wt=9): 23 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=9): 24 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 177.97/177.98 ** KEPT (pick-wt=9): 25 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 177.97/177.98 ** KEPT (pick-wt=11): 26 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A).
% 177.97/177.98 ** KEPT (pick-wt=14): 27 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 177.97/177.98 Following clause subsumed by 27 during input processing: 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 177.97/177.98 ** KEPT (pick-wt=17): 28 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 177.97/177.98 ** KEPT (pick-wt=13): 29 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 177.97/177.98 ** KEPT (pick-wt=13): 30 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 177.97/177.98 ** KEPT (pick-wt=25): 31 [] c_Set_Oimage(A,B,C,C)=B| -c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(c_Set_Oimage(A,B,C,C),B,tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 177.97/177.98 ** KEPT (pick-wt=11): 32 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 177.97/177.98 ** KEPT (pick-wt=11): 33 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 177.97/177.98 ** KEPT (pick-wt=9): 34 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 177.97/177.98 ** KEPT (pick-wt=9): 35 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 177.97/177.98 ** KEPT (pick-wt=19): 36 [] c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(A,B,C,D),E,D,C)| -c_lesse_quals(E,c_Set_Oimage(B,A,C,D),tc_fun(D,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=9): 37 [] hBOOL(c_Message_Osynthp(A,c_Message_Omsg_OHash(B)))| -hBOOL(c_Message_Osynthp(A,B)).
% 177.97/177.98 ** KEPT (pick-wt=7): 38 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 177.97/177.98 ** KEPT (pick-wt=15): 39 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=15): 40 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=8): 41 [] c_Fun_Osurj(A,B,C)| -c_Fun_Obij(A,B,C).
% 177.97/177.98 ** KEPT (pick-wt=10): 42 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|B=D.
% 177.97/177.98 ** KEPT (pick-wt=10): 43 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|A=C.
% 177.97/177.98 ** KEPT (pick-wt=28): 44 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_COMBC(c_in(C),A,C,tc_fun(C,tc_bool),tc_bool),c_COMBC(c_in(C),B,C,tc_fun(C,tc_bool),tc_bool),tc_fun(C,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=28): 45 [] c_lesse_quals(c_COMBC(c_in(A),B,A,tc_fun(A,tc_bool),tc_bool),c_COMBC(c_in(A),C,A,tc_fun(A,tc_bool),tc_bool),tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=15): 46 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 177.97/177.98 Following clause subsumed by 46 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)).
% 177.97/177.98 ** KEPT (pick-wt=13): 47 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 177.97/177.98 Following clause subsumed by 47 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 177.97/177.98 Following clause subsumed by 47 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 177.97/177.98 ** KEPT (pick-wt=7): 48 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 177.97/177.98 ** KEPT (pick-wt=12): 49 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 177.97/177.98 ** KEPT (pick-wt=12): 50 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 177.97/177.98 ** KEPT (pick-wt=12): 51 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 177.97/177.98 ** KEPT (pick-wt=14): 52 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=14): 53 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=14): 54 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=27): 55 [] 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.
% 177.97/177.98 ** KEPT (pick-wt=27): 56 [] 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.
% 177.97/177.98 ** KEPT (pick-wt=27): 57 [] 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.
% 177.97/177.98 ** KEPT (pick-wt=27): 58 [] 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.
% 177.97/177.98 ** KEPT (pick-wt=15): 59 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=9): 60 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 177.97/177.98 ** KEPT (pick-wt=8): 61 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OHash(B)|A=B.
% 177.97/177.98 ** KEPT (pick-wt=28): 62 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=21): 63 [] c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B,A),A,B)=C| -c_Fun_Obij(C,B,A).
% 177.97/177.98 ** KEPT (pick-wt=17): 64 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=17): 65 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=25): 66 [] 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))).
% 177.97/177.98 ** KEPT (pick-wt=23): 67 [] 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)).
% 177.97/177.98 Following clause subsumed by 67 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)).
% 177.97/177.98 ** KEPT (pick-wt=17): 68 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=9): 69 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 177.97/177.98 ** KEPT (pick-wt=9): 70 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 177.97/177.98 Following clause subsumed by 68 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).
% 177.97/177.98 Following clause subsumed by 68 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).
% 177.97/177.98 ** KEPT (pick-wt=9): 71 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 177.97/177.98 ** KEPT (pick-wt=9): 72 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 177.97/177.98 ** KEPT (pick-wt=18): 73 [] 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.
% 177.97/177.98 ** KEPT (pick-wt=5): 74 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 177.97/177.98 ** KEPT (pick-wt=17): 75 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=17): 76 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=13): 77 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=13): 78 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=11): 79 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 177.97/177.98 ** KEPT (pick-wt=11): 80 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 177.97/177.98 ** KEPT (pick-wt=14): 81 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=14): 82 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=8): 83 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 177.97/177.98 ** KEPT (pick-wt=5): 84 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 177.97/177.98 ** KEPT (pick-wt=19): 85 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 177.97/177.98 ** KEPT (pick-wt=18): 86 [] c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(B,c_Set_Oimage(A,B,C,C),tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 177.97/177.98 ** KEPT (pick-wt=15): 87 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(C,tc_bool)),C,D).
% 177.97/177.98 ** KEPT (pick-wt=15): 88 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 177.97/177.98 ** KEPT (pick-wt=16): 89 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 177.97/177.98 ** KEPT (pick-wt=20): 90 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)).
% 177.97/177.98 Following clause subsumed by 90 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lesse_quals(D,C,tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 177.97/177.98 Following clause subsumed by 90 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)).
% 177.97/177.98 Following clause subsumed by 90 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=19): 91 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 177.97/177.98 ** KEPT (pick-wt=19): 92 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 177.97/177.98 ** KEPT (pick-wt=10): 93 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 177.97/177.98 Following clause subsumed by 93 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 177.97/177.98 Following clause subsumed by 93 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 177.97/177.98 Following clause subsumed by 93 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 177.97/177.98 ** KEPT (pick-wt=26): 94 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(D,C,tc_fun(A,tc_bool)))).
% 177.97/177.98 Following clause subsumed by 93 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 177.97/177.98 ** KEPT (pick-wt=22): 95 [] c_COMBC(c_in(A),B,A,tc_fun(A,tc_bool),tc_bool)!=c_COMBC(c_in(A),C,A,tc_fun(A,tc_bool),tc_bool)|B=C.
% 177.97/177.98 ** KEPT (pick-wt=6): 96 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 177.97/177.98 ** KEPT (pick-wt=6): 97 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 177.97/177.98 ** KEPT (pick-wt=6): 98 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 177.97/177.98 ** KEPT (pick-wt=6): 99 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 177.97/177.98 ** KEPT (pick-wt=20): 100 [] -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)).
% 177.97/177.98 Following clause subsumed by 100 during input processing: 0 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=16): 101 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=10): 102 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 177.97/177.98 ** KEPT (pick-wt=16): 103 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=14): 104 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=15): 105 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=15): 106 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=7): 107 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 177.97/177.98 ** KEPT (pick-wt=10): 108 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=10): 109 [] -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).
% 177.97/177.98 Following clause subsumed by 84 during input processing: 0 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A).
% 177.97/177.98 ** KEPT (pick-wt=9): 110 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=6): 111 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 177.97/177.98 ** KEPT (pick-wt=6): 112 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 177.97/177.98 ** KEPT (pick-wt=6): 113 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 177.97/177.98 ** KEPT (pick-wt=6): 114 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 177.97/177.98 ** KEPT (pick-wt=6): 115 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 177.97/177.98 ** KEPT (pick-wt=6): 116 [] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 177.97/177.98 ** KEPT (pick-wt=6): 117 [] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 177.97/177.98 ** KEPT (pick-wt=6): 118 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 177.97/177.98 ** KEPT (pick-wt=5): 119 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 177.97/177.98 ** KEPT (pick-wt=5): 120 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 177.97/177.98 ** KEPT (pick-wt=5): 121 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 177.97/177.98 ** KEPT (pick-wt=5): 122 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 177.97/177.98 ** KEPT (pick-wt=27): 123 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(B)))).
% 177.97/177.98 ** KEPT (pick-wt=25): 124 [] c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D),D)| -c_Finite__Set_Ofinite(c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C).
% 177.97/177.98 ** KEPT (pick-wt=32): 125 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),D),c_Message_Oparts(C)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Set_Oinsert(D,B,tc_Message_Omsg)))).
% 177.97/177.98 Following clause subsumed by 100 during input processing: 0 [] 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))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 177.97/177.98 ** KEPT (pick-wt=28): 126 [] 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))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E).
% 177.97/177.98 ** KEPT (pick-wt=26): 127 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),c_Set_Oimage(B,D,A,C),C,A)=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C).
% 177.97/177.98 Following clause subsumed by 127 during input processing: 0 [] c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),c_Set_Oimage(B,D,A,C),C,A)=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C).
% 177.97/177.98 ** KEPT (pick-wt=22): 128 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(C))).
% 177.97/177.98 ** KEPT (pick-wt=22): 129 [] c_Set_Oimage(A,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),A,B,C),D,C,B),B,C)=D| -c_Fun_Osurj(A,B,C).
% 177.97/177.98 ** KEPT (pick-wt=12): 130 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(A)),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg))).
% 177.97/177.98 ** KEPT (pick-wt=12): 131 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(A)),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg))).
% 177.97/177.98 ** KEPT (pick-wt=19): 132 [] c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),C,A)| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C).
% 177.97/177.98 ** KEPT (pick-wt=7): 133 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 177.97/177.98 ** KEPT (pick-wt=13): 134 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=13): 135 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=13): 136 [] -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).
% 177.97/177.98 ** KEPT (pick-wt=13): 137 [] -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).
% 177.97/177.98 Following clause subsumed by 134 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).
% 177.97/177.98 Following clause subsumed by 135 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).
% 177.97/177.98 ** KEPT (pick-wt=17): 138 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=17): 139 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=14): 140 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 177.97/177.98 ** KEPT (pick-wt=14): 141 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 177.97/177.98 ** KEPT (pick-wt=18): 142 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=16): 143 [] c_Fun_Oinj__on(A,B,C,D)| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,E,C,D).
% 177.97/177.98 ** KEPT (pick-wt=14): 144 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=6): 145 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 177.97/177.98 ** KEPT (pick-wt=6): 146 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 177.97/177.98 ** KEPT (pick-wt=12): 147 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 177.97/177.98 Following clause subsumed by 144 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 177.97/177.98 Following clause subsumed by 147 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 177.97/177.98 ** KEPT (pick-wt=14): 148 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=27): 149 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=29): 150 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),D,C,E),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(A,D,C,E))))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E).
% 177.97/177.98 ** KEPT (pick-wt=18): 151 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=15): 152 [] c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),C,A)| -c_Fun_Obij(B,A,C).
% 177.97/177.98 ** KEPT (pick-wt=5): 153 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 177.97/177.98 ** KEPT (pick-wt=34): 154 [] 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)).
% 177.97/177.98 ** KEPT (pick-wt=10): 155 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 177.97/177.98 ** KEPT (pick-wt=24): 156 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),A),C)).
% 177.97/177.98 ** KEPT (pick-wt=22): 157 [] 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(hAPP(hAPP(c_in(C),D),A)).
% 177.97/177.98 Following clause subsumed by 18 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(hAPP(hAPP(c_in(D),B),A)).
% 177.97/177.98 Following clause subsumed by 157 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 177.97/177.98 Following clause subsumed by 18 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(hAPP(hAPP(c_in(D),B),A)).
% 177.97/177.98 ** KEPT (pick-wt=16): 158 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lesse_quals(c_Set_Oinsert(B,D,A),C,tc_fun(A,tc_bool)).
% 177.97/177.98 Following clause subsumed by 23 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 177.97/177.98 ** KEPT (pick-wt=16): 159 [] A=B| -hBOOL(hAPP(hAPP(c_in(C),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))).
% 177.97/177.98 ** KEPT (pick-wt=22): 160 [] 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(hAPP(hAPP(c_in(C),A),D)).
% 177.97/177.98 ** KEPT (pick-wt=24): 161 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(c_Hilbert__Choice_Oinv__into(B,C,A,D),E)),B))| -hBOOL(hAPP(hAPP(c_in(D),E),c_Set_Oimage(C,B,A,D))).
% 177.97/177.98 ** KEPT (pick-wt=40): 162 [] hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),E)!=hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),F)|E=F| -hBOOL(hAPP(hAPP(c_in(D),F),c_Set_Oimage(B,A,C,D)))| -hBOOL(hAPP(hAPP(c_in(D),E),c_Set_Oimage(B,A,C,D))).
% 177.97/177.98 ** KEPT (pick-wt=26): 163 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),F))| -c_lesse_quals(c_Set_Oimage(B,F,E,A),D,tc_fun(A,tc_bool)).
% 177.97/177.98 ** KEPT (pick-wt=22): 164 [] hAPP(A,hAPP(c_Hilbert__Choice_Oinv__into(B,A,C,D),E))=E| -hBOOL(hAPP(hAPP(c_in(D),E),c_Set_Oimage(A,B,C,D))).
% 177.97/177.98 ** KEPT (pick-wt=23): 165 [] hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),hAPP(B,E))=E| -hBOOL(hAPP(hAPP(c_in(C),E),A))| -c_Fun_Oinj__on(B,A,C,D).
% 177.97/177.98 Following clause subsumed by 165 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_Fun_Oinj__on(D,C,A,E)|hAPP(c_Hilbert__Choice_Oinv__into(C,D,A,E),hAPP(D,B))=B.
% 177.97/177.98 ** KEPT (pick-wt=15): 166 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 177.97/177.98 ** KEPT (pick-wt=12): 167 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_List_Oset(B,A)|B=c_List_Olist_ONil(A).
% 177.97/177.98 ** KEPT (pick-wt=12): 168 [] c_List_Oset(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_List_Olist_ONil(B).
% 177.97/177.98 ** KEPT (pick-wt=29): 169 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(C)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))))).
% 177.97/177.98 ** KEPT (pick-wt=23): 170 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B)))| -c_lesse_quals(C,c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(C))).
% 177.97/177.99 ** KEPT (pick-wt=21): 171 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(C))).
% 177.97/177.99 ** KEPT (pick-wt=23): 172 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))| -c_lesse_quals(C,c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(C))).
% 177.97/177.99 ** KEPT (pick-wt=15): 173 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Complete__Lattice_OSup__class_OSup(C,A),A).
% 177.97/177.99 ** KEPT (pick-wt=13): 174 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 177.97/177.99 ** KEPT (pick-wt=24): 175 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D)|B=E.
% 177.97/177.99 ** KEPT (pick-wt=15): 176 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(C,A,B,D)| -c_Finite__Set_Ofinite(c_Set_Oimage(C,A,B,D),D).
% 177.97/177.99 ** KEPT (pick-wt=17): 177 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(A)),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(A)),c_Message_Osynth(B))).
% 177.97/177.99 Following clause subsumed by 177 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(A)),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(A)),c_Message_Osynth(B))).
% 177.97/177.99 ** KEPT (pick-wt=17): 178 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(A)),c_Message_Osynth(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(A)),B)).
% 177.97/177.99 ** KEPT (pick-wt=25): 179 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(B)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(A)),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(A)),c_Message_Osynth(B))).
% 177.97/177.99 ** KEPT (pick-wt=23): 180 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(B)))| -c_lesse_quals(C,c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(C))).
% 177.97/177.99 ** KEPT (pick-wt=17): 181 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(A)),c_Message_Osynth(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(B))).
% 177.97/177.99 ** KEPT (pick-wt=12): 182 [] c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)| -c_Fun_Obij(A,B,C).
% 177.97/177.99 ** KEPT (pick-wt=22): 183 [] hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),hAPP(B,D))=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C).
% 177.97/177.99 Following clause subsumed by 183 during input processing: 0 [] -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)|hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),A,B,C),hAPP(A,D))=D.
% 177.97/177.99 ** KEPT (pick-wt=32): 184 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(C)))).
% 177.97/177.99 ** KEPT (pick-wt=16): 185 [] 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)).
% 177.97/177.99 ** KEPT (pick-wt=20): 186 [] hBOOL(hAPP(hAPP(c_in(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,A)),c_Set_Oimage(c_Message_OinvKey,B,tc_nat,tc_nat))).
% 177.97/177.99 ** KEPT (pick-wt=20): 187 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,A)),c_Set_Oimage(c_Message_OinvKey,B,tc_nat,tc_nat)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),B)).
% 177.97/177.99 ** KEPT (pick-wt=18): 188 [] hAPP(A,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),A,B,C),D))=D| -c_Fun_Osurj(A,B,C).
% 177.97/177.99 ** KEPT (pick-wt=16): 189 [] c_Fun_Obij(A,B,C)| -c_Fun_Osurj(A,B,C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C).
% 177.97/177.99 Following clause subsumed by 189 during input processing: 0 [] c_Fun_Obij(A,B,C)| -c_Fun_Osurj(A,B,C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C).
% 177.97/177.99 ** KEPT (pick-wt=18): 190 [] c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,B)| -c_Fun_Osurj(A,B,B)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B).
% 177.97/177.99 ** KEPT (pick-wt=18): 191 [] c_Fun_Osurj(A,B,B)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,B)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B).
% 177.97/177.99 ** KEPT (pick-wt=19): 192 [] c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,A)| -c_Fun_Osurj(B,A,C).
% 177.97/177.99 ** KEPT (pick-wt=10): 193 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(A)),c_Message_Oparts(c_Event_OinitState(B)))).
% 177.97/177.99 ** KEPT (pick-wt=10): 194 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),A))!=hAPP(c_Public_OshrK,B).
% 177.97/177.99 ** KEPT (pick-wt=10): 195 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(A)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)))).
% 177.97/177.99 ** KEPT (pick-wt=28): 196 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(C)),c_Event_Oused(D)))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(D)).
% 177.97/177.99 ** KEPT (pick-wt=33): 198 [copy,197,flip.3] -hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A)))| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A)|c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__1(hAPP(B,C),B,A,D)=C.
% 177.97/177.99 ** KEPT (pick-wt=31): 200 [copy,199,flip.1] hAPP(A,c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__1(B,A,C,D))=B| -hBOOL(hAPP(hAPP(c_in(C),B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,C)))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,C).
% 177.97/177.99 ** KEPT (pick-wt=34): 201 [] c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__2(hAPP(A,B),A,B,C,D)!=B| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,C)|hBOOL(hAPP(hAPP(c_in(C),hAPP(A,B)),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,C))).
% 177.97/177.99 ** KEPT (pick-wt=30): 202 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(A,D,E,C)),c_Set_Oimage(D,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C)))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C).
% 177.97/177.99 ** KEPT (pick-wt=38): 204 [copy,203,flip.3] -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)|hBOOL(hAPP(hAPP(c_in(C),hAPP(A,D)),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)))|hAPP(A,c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__2(hAPP(A,D),A,D,C,B))=hAPP(A,D).
% 177.97/177.99 ** KEPT (pick-wt=32): 205 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B))),c_Message_Osynth(c_Message_Oanalz(C))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B))),c_Message_Oanalz(C)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(C)))).
% 177.97/177.99 ** KEPT (pick-wt=32): 206 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B))),c_Message_Oanalz(C)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B))),c_Message_Osynth(c_Message_Oanalz(C))))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(C)))).
% 177.97/177.99 Following clause subsumed by 171 during input processing: 0 [factor_simp] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Oanalz(C))).
% 177.97/177.99 Following clause subsumed by 171 during input processing: 0 [factor_simp] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Oanalz(C))).
% 177.97/177.99 ** KEPT (pick-wt=57): 207 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_OinitState(B)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(B,A)),c_List_Oset(C,tc_Event_Oevent)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OGets(B,A)),c_List_Oset(C,tc_Event_Oevent)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))|B=c_Message_Oagent_OSpy| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oknows(B,C))).
% 177.97/177.99 ** KEPT (pick-wt=46): 208 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_OinitState(c_Message_Oagent_OSpy)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))|hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oknows(c_Message_Oagent_OSpy,B))).
% 177.97/177.99 ** KEPT (pick-wt=19): 209 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.97/177.99 ** KEPT (pick-wt=24): 210 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.97/177.99 ** KEPT (pick-wt=12): 211 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),A))),c_Message_OsymKeys)).
% 177.97/177.99 ** KEPT (pick-wt=35): 212 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),C),c_Message_Osynth(c_Message_Oanalz(B))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Set_Oinsert(C,B,tc_Message_Omsg)))).
% 177.97/177.99 ** KEPT (pick-wt=38): 213 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Oanalz(C)))| -c_lesse_quals(D,C,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),B),c_Message_Osynth(c_Message_Oanalz(D)))).
% 177.97/177.99 ** KEPT (pick-wt=38): 214 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg))))| -c_lesse_quals(D,B,tc_fun(tc_Message_Omsg,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),C),c_Message_Osynth(c_Message_Oanalz(D)))).
% 177.97/177.99 ** KEPT (pick-wt=26): 216 [copy,215,factor_simp] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),B)).
% 177.97/177.99 Following clause subsumed by 216 during input processing: 0 [factor_simp] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),B)).
% 177.97/177.99 Following clause subsumed by 171 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Oanalz(C))).
% 177.97/177.99 Following clause subsumed by 171 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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)))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Oanalz(C)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),B)).
% 177.97/177.99 ** KEPT (pick-wt=25): 217 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B))))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))).
% 177.97/177.99 ** KEPT (pick-wt=60): 218 [] hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))|A=c_Message_Oagent_OServer| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(D)).
% 177.97/177.99 ** KEPT (pick-wt=23): 219 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oknows(B,C)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OGets(B,A)),c_List_Oset(C,tc_Event_Oevent)))|B=c_Message_Oagent_OSpy.
% 177.97/177.99 ** KEPT (pick-wt=18): 220 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.97/177.99 ** KEPT (pick-wt=28): 221 [] hBOOL(hAPP(hAPP(c_in(tc_nat),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),B),C)).
% 177.97/177.99 ** KEPT (pick-wt=28): 222 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),B))| -hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.97/177.99 ** KEPT (pick-wt=66): 223 [] 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(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)))),c_List_Oset(E,tc_Event_Oevent)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),C),c_Message_OsymKeys))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(E)).
% 177.97/177.99 ** KEPT (pick-wt=33): 224 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A))),c_Message_Oanalz(C))).
% 177.97/177.99 ** KEPT (pick-wt=33): 225 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A))),c_Message_Oanalz(C))).
% 177.97/177.99 ** KEPT (pick-wt=60): 226 [] 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(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B)))),c_List_Oset(D,tc_Event_Oevent)))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(D)).
% 177.97/177.99 ** KEPT (pick-wt=52): 227 [] 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(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),C),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(D)),c_Event_Oused(E)))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(E)).
% 177.97/177.99 ** KEPT (pick-wt=23): 228 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),B),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)))))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(C)).
% 177.97/177.99 ** KEPT (pick-wt=71): 229 [] 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(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),D),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,D)),c_Event_Oused(E)))| -hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(E)).
% 177.97/177.99 ** KEPT (pick-wt=47): 230 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A))),c_Message_Oparts(B)))|hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),D),c_Message_Osynth(c_Message_Oanalz(B))))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(D,C,tc_Message_Omsg))))).
% 177.97/177.99 ** KEPT (pick-wt=38): 231 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(C)),c_Event_Oused(D)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),D),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/177.99 ** KEPT (pick-wt=70): 232 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))|A=c_Message_Oagent_OServer| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),D),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/177.99 ** KEPT (pick-wt=76): 233 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)))),c_List_Oset(E,tc_Event_Oevent)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),C),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),E),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/177.99 ** KEPT (pick-wt=70): 234 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B)))),c_List_Oset(D,tc_Event_Oevent)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),D),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/177.99 ** KEPT (pick-wt=62): 235 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),C),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_ONonce(D)),c_Event_Oused(E)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),E),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/177.99 ** KEPT (pick-wt=81): 236 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),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))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),D),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,D)),c_Event_Oused(E)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),E),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/177.99 ** KEPT (pick-wt=42): 237 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(B))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(C,A)),c_Message_Osynth(c_Message_Oanalz(B))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,C))),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,C)),c_Message_Oanalz(B))).
% 177.97/177.99 ** KEPT (pick-wt=18): 238 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E)|B=C.
% 177.97/177.99 ** KEPT (pick-wt=21): 239 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oknows(c_Message_Oagent_OSpy,B)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(C,D,A)),c_List_Oset(B,tc_Event_Oevent))).
% 177.97/177.99 ** KEPT (pick-wt=25): 240 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B))))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))).
% 177.97/177.99 ** KEPT (pick-wt=26): 241 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B))))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),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))))).
% 177.97/177.99 ** KEPT (pick-wt=3): 243 [copy,242,flip.1] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 177.97/177.99 Following clause subsumed by 243 during input processing: 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 177.97/177.99 ** KEPT (pick-wt=8): 244 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 177.97/177.99 ** KEPT (pick-wt=8): 245 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 177.97/177.99 ** KEPT (pick-wt=17): 246 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))),c_Set_Oimage(c_Public_OpublicKey(C),D,tc_Message_Oagent,tc_nat))).
% 177.97/177.99 ** KEPT (pick-wt=22): 247 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(C,D,A)),c_List_Oset(B,tc_Event_Oevent))).
% 177.97/177.99 ** KEPT (pick-wt=33): 248 [] hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent)),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),B),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)))))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),C),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/177.99 ** KEPT (pick-wt=30): 249 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,C))),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(C,A)),c_Message_Oanalz(B))).
% 177.97/177.99 ** KEPT (pick-wt=24): 250 [] hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Message_OkeysFor(B)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,C)),B)).
% 177.97/177.99 ** KEPT (pick-wt=19): 251 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,A)),c_Message_OkeysFor(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,C)),B)).
% 177.97/177.99 ** KEPT (pick-wt=22): 252 [] 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(hAPP(hAPP(c_in(tc_Message_Oagent),A),c_Event_Obad)).
% 177.97/177.99 ** KEPT (pick-wt=16): 253 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat))).
% 177.97/177.99 ** KEPT (pick-wt=32): 254 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.97/178.00 ** KEPT (pick-wt=27): 255 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oknows(c_Message_Oagent_OSpy,B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),C),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(C,A)),c_List_Oset(B,tc_Event_Oevent))).
% 177.97/178.00 ** KEPT (pick-wt=36): 256 [] A=hAPP(c_Public_OshrK,B)| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),C),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.97/178.00 ** KEPT (pick-wt=43): 257 [] 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(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),E),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.97/178.00 ** KEPT (pick-wt=23): 258 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 177.97/178.00 ** KEPT (pick-wt=18): 259 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(C,A)),c_Message_Oanalz(B))).
% 177.97/178.00 ** KEPT (pick-wt=18): 260 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(A,C)),c_Message_Oanalz(B))).
% 177.97/178.00 ** KEPT (pick-wt=18): 261 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oused(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(C,A)),c_Event_Oused(B))).
% 177.97/178.00 ** KEPT (pick-wt=18): 262 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oused(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(A,C)),c_Event_Oused(B))).
% 177.97/178.00 ** KEPT (pick-wt=26): 263 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(C)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),B),c_Message_Osynth(C)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(C))).
% 177.97/178.00 ** KEPT (pick-wt=27): 264 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(B)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(C,A)),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(C,A)),c_Message_Osynth(B))).
% 177.97/178.00 ** KEPT (pick-wt=27): 265 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(B)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(A,C)),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(A,C)),c_Message_Osynth(B))).
% 177.97/178.00 ** KEPT (pick-wt=19): 266 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(C))).
% 177.97/178.00 ** KEPT (pick-wt=16): 267 [] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oparts(B)| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B))).
% 177.97/178.00 ** KEPT (pick-wt=16): 268 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B))).
% 177.97/178.00 Following clause subsumed by 268 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B))).
% 177.97/178.00 Following clause subsumed by 268 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B))).
% 177.97/178.00 ** KEPT (pick-wt=27): 269 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(B)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(C,A)),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(C,A)),c_Message_Osynth(B))).
% 177.97/178.00 ** KEPT (pick-wt=42): 270 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,B)),c_Message_Osynth(c_Message_Oanalz(C))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),B),c_Message_Osynth(c_Message_Oanalz(C))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A))),c_Message_Oanalz(C)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Oanalz(C))).
% 177.97/178.00 ** KEPT (pick-wt=30): 271 [] 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(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,A))),c_Message_Oanalz(C))).
% 177.97/178.00 ** KEPT (pick-wt=11): 272 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,B)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)))).
% 177.97/178.00 ** KEPT (pick-wt=14): 273 [] hBOOL(c_Message_Osynthp(A,c_Message_Omsg_OMPair(B,C)))| -hBOOL(c_Message_Osynthp(A,C))| -hBOOL(c_Message_Osynthp(A,B)).
% 177.97/178.00 ** KEPT (pick-wt=17): 274 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oused(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Event_OinitState(C)))).
% 177.97/178.00 Following clause subsumed by 263 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),B),c_Message_Osynth(c_Message_Oanalz(C))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(C)))).
% 177.97/178.00 ** KEPT (pick-wt=20): 275 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(B))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(A,C)),c_Message_Osynth(c_Message_Oanalz(B)))).
% 177.97/178.00 ** KEPT (pick-wt=20): 276 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(B))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(C,A)),c_Message_Osynth(c_Message_Oanalz(B)))).
% 177.97/178.00 ** KEPT (pick-wt=17): 277 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Osynth(B)))).
% 177.97/178.00 ** KEPT (pick-wt=15): 278 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),B)).
% 177.97/178.00 ** KEPT (pick-wt=17): 279 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(c_Message_Oanalz(B)))).
% 177.97/178.00 ** KEPT (pick-wt=15): 280 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),B)).
% 177.97/178.00 ** KEPT (pick-wt=13): 281 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 177.97/178.00 ** KEPT (pick-wt=26): 282 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(hAPP(hAPP(c_in(C),A),D))|hBOOL(hAPP(hAPP(c_in(C),A),B))|B=D.
% 177.97/178.00 ** KEPT (pick-wt=29): 283 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -hBOOL(hAPP(hAPP(c_in(E),B),D)).
% 177.97/178.00 Following clause subsumed by 283 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 177.97/178.00 Following clause subsumed by 283 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 177.97/178.00 Following clause subsumed by 283 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))|B=C| -c_Fun_Oinj__on(A,E,D,F).
% 177.97/178.00 ** KEPT (pick-wt=30): 284 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Typedef_Otype__definition(F,A,E,G,D)|B=C.
% 177.97/178.00 ** KEPT (pick-wt=20): 285 [] hAPP(A,hAPP(B,C))=C| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -c_Typedef_Otype__definition(A,B,E,F,D).
% 177.97/178.00 ** KEPT (pick-wt=20): 286 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|B=D| -hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(D,C,A))).
% 177.97/178.00 ** KEPT (pick-wt=15): 287 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -c_Typedef_Otype__definition(B,E,D,F,A).
% 177.97/178.00 ** KEPT (pick-wt=17): 288 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 177.97/178.00 Following clause subsumed by 288 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 177.97/178.00 ** KEPT (pick-wt=22): 289 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B))))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(C,D,A)),c_List_Oset(B,tc_Event_Oevent))).
% 177.97/178.00 ** KEPT (pick-wt=19): 290 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Message_Oanalz(B)))).
% 177.97/178.00 ** KEPT (pick-wt=8): 291 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 177.97/178.00 ** KEPT (pick-wt=19): 292 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(C))).
% 177.97/178.00 ** KEPT (pick-wt=6): 294 [copy,293,flip.1] c_List_Olist_OCons(A,B,C)!=B.
% 177.97/178.00 Following clause subsumed by 294 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=B.
% 177.97/178.00 ** KEPT (pick-wt=10): 295 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(A),B)),c_Message_OsymKeys)).
% 177.97/178.00 ** KEPT (pick-wt=7): 296 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 177.97/178.00 Following clause subsumed by 296 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 177.97/178.00 ** KEPT (pick-wt=16): 297 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B))).
% 177.97/178.00 ** KEPT (pick-wt=11): 298 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 177.97/178.00 ** KEPT (pick-wt=20): 299 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oknows(B,C)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(B,A)),c_List_Oset(C,tc_Event_Oevent))).
% 177.97/178.00 ** KEPT (pick-wt=24): 300 [] hBOOL(hAPP(hAPP(c_in(A),B),c_List_Oset(C,A)))|B=D| -hBOOL(hAPP(hAPP(c_in(A),B),c_List_Oset(c_List_Olist_OCons(D,C,A),A))).
% 177.97/178.00 ** KEPT (pick-wt=12): 301 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|A=C.
% 177.97/178.00 ** KEPT (pick-wt=12): 302 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|B=D.
% 177.97/178.00 ** KEPT (pick-wt=11): 303 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 177.97/178.00 ** KEPT (pick-wt=8): 304 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 177.97/178.00 ** KEPT (pick-wt=13): 305 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D).
% 177.97/178.00 ** KEPT (pick-wt=10): 306 [] hAPP(c_Message_OinvKey,A)!=hAPP(c_Message_OinvKey,B)|A=B.
% 177.97/178.00 ** KEPT (pick-wt=27): 307 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),C),c_Message_Osynth(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Osynth(c_Set_Oinsert(C,B,tc_Message_Omsg)))).
% 177.97/178.00 ** KEPT (pick-wt=20): 308 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oused(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(C,D,A)),c_List_Oset(B,tc_Event_Oevent))).
% 177.97/178.00 ** KEPT (pick-wt=16): 309 [] hAPP(A,B)!=hAPP(A,C)| -c_Typedef_Otype__definition(A,D,E,F,G)|B=C.
% 177.97/178.00 ** KEPT (pick-wt=27): 310 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),C),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)))).
% 177.97/178.00 ** KEPT (pick-wt=14): 311 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 177.97/178.00 ** KEPT (pick-wt=16): 312 [] hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,A)),c_Message_OsymKeys)).
% 177.97/178.00 ** KEPT (pick-wt=16): 313 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,A)),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Message_OsymKeys)).
% 177.97/178.00 ** KEPT (pick-wt=12): 314 [] hAPP(c_Message_OinvKey,A)=A| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Message_OsymKeys)).
% 177.97/178.00 ** KEPT (pick-wt=7): 315 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 177.97/178.00 ** KEPT (pick-wt=10): 316 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|B=D.
% 177.97/178.00 ** KEPT (pick-wt=10): 317 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|A=C.
% 177.97/178.00 ** KEPT (pick-wt=19): 318 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oused(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_ONotes(C,A)),c_List_Oset(B,tc_Event_Oevent))).
% 177.97/178.00 ** KEPT (pick-wt=13): 319 [] hAPP(A,hAPP(B,C))=C| -c_Typedef_Otype__definition(B,A,D,E,F).
% 177.97/178.00 ** KEPT (pick-wt=12): 320 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|C=F.
% 177.97/178.00 ** KEPT (pick-wt=12): 321 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|B=E.
% 177.97/178.00 ** KEPT (pick-wt=12): 322 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|A=D.
% 177.97/178.00 ** KEPT (pick-wt=12): 323 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))),c_Message_OsymKeys)).
% 177.97/178.00 ** KEPT (pick-wt=12): 324 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 177.97/178.00 ** KEPT (pick-wt=12): 325 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 177.97/178.00 ** KEPT (pick-wt=8): 326 [] hBOOL(c_Message_Osynthp(A,B))| -hBOOL(hAPP(A,B)).
% 177.97/178.00 ** KEPT (pick-wt=10): 327 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(B),C)).
% 177.97/178.00 ** KEPT (pick-wt=16): 328 [] 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)).
% 177.97/178.00 ** KEPT (pick-wt=21): 329 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oknows(B,C)))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(B,D,A)),c_List_Oset(C,tc_Event_Oevent))).
% 177.97/178.00 ** KEPT (pick-wt=10): 330 [] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 177.97/178.00 ** KEPT (pick-wt=11): 331 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(C),D)).
% 177.97/178.00 ** KEPT (pick-wt=16): 332 [] c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)=D| -c_Typedef_Otype__definition(A,E,D,B,C).
% 177.97/178.00 ** KEPT (pick-wt=16): 333 [] c_Set_Oimage(A,B,C,D)=c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool))| -c_Typedef_Otype__definition(E,A,B,D,C).
% 177.97/178.00 ** KEPT (pick-wt=22): 334 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)|B=E.
% 177.97/178.00 ** KEPT (pick-wt=17): 335 [] c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool))| -c_Fun_Osurj(A,B,C).
% 177.97/178.00 Following clause subsumed by 278 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Osynth(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),B)).
% 177.97/178.00 ** KEPT (pick-wt=19): 336 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Message_Osynth(B))).
% 177.97/178.00 ** KEPT (pick-wt=11): 337 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 177.97/178.00 ** KEPT (pick-wt=11): 338 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A)=c_Orderings_Otop__class_Otop(A).
% 177.97/178.00 ** KEPT (pick-wt=35): 339 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,C)),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),C),c_Message_OsymKeys))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(C,A)),c_Message_Oanalz(B))).
% 177.97/178.00 ** KEPT (pick-wt=16): 340 [] hBOOL(c_Message_Osynthp(A,c_Message_Omsg_OCrypt(B,C)))| -hBOOL(hAPP(A,hAPP(c_Message_Omsg_OKey,B)))| -hBOOL(c_Message_Osynthp(A,C)).
% 177.97/178.00 ** KEPT (pick-wt=30): 341 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.97/178.00 ** KEPT (pick-wt=18): 342 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(A),C)),c_Set_Oimage(c_Public_OpublicKey(B),D,tc_Message_Oagent,tc_nat))).
% 177.97/178.00 ** KEPT (pick-wt=7): 343 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),c_Message_Oagent_OServer),c_Event_Obad)).
% 177.97/178.00 ** KEPT (pick-wt=45): 344 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),B),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),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))).
% 177.97/178.00 ** KEPT (pick-wt=36): 345 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)))))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),B),c_NS__Shared__Mirabelle_Ons__shared))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Message_OsymKeys))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Event_Oused(B))).
% 177.97/178.00 ** KEPT (pick-wt=28): 346 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,A).
% 177.97/178.00 ** KEPT (pick-wt=28): 347 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D)))| -c_Fun_Oinj__on(E,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,D).
% 177.97/178.00 ** KEPT (pick-wt=23): 349 [copy,348,flip.1] hAPP(A,c_ATP__Linkup_Osko__Set__XrangeE__1__1(B,A,C,D))=B| -hBOOL(hAPP(hAPP(c_in(C),B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,C))).
% 177.97/178.00 ** KEPT (pick-wt=11): 350 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,B)),c_Message_Oparts(c_Event_OinitState(C)))).
% 177.97/178.00 ** KEPT (pick-wt=13): 351 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,B)),c_Set_Oimage(c_Message_Omsg_OKey,C,tc_nat,tc_Message_Omsg))).
% 177.97/178.00 Following clause subsumed by 278 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,B)),c_Message_Osynth(C)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,B)),C))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),C)).
% 177.97/178.00 ** KEPT (pick-wt=28): 352 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,B)),C))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,B)),c_Message_Osynth(C)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),C)).
% 177.97/178.00 Following clause subsumed by 352 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),B))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,C)),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,C)),c_Message_Osynth(B))).
% 177.97/178.00 ** KEPT (pick-wt=27): 353 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(A,B)),c_Message_Osynth(C)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),C))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),B),c_Message_Osynth(C))).
% 177.97/178.00 ** KEPT (pick-wt=20): 354 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg)))| -hBOOL(hAPP(hAPP(c_in(tc_nat),A),B)).
% 177.97/178.00 ** KEPT (pick-wt=20): 355 [] hBOOL(hAPP(hAPP(c_in(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg))).
% 177.97/178.00 ** KEPT (pick-wt=23): 356 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B)))),c_Event_Oknows(c_Message_Oagent_OSpy,C)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),B),c_Event_Obad)).
% 177.97/178.00 ** KEPT (pick-wt=14): 357 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat))).
% 177.97/178.00 ** KEPT (pick-wt=14): 358 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,A)),c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat))).
% 177.97/178.00 ** KEPT (pick-wt=22): 359 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OpublicKey(A),C,tc_Message_Oagent,tc_nat)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),B),C)).
% 177.97/178.00 ** KEPT (pick-wt=22): 360 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),B))| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OpublicKey(C),A)),c_Set_Oimage(c_Public_OpublicKey(D),B,tc_Message_Oagent,tc_nat))).
% 177.97/178.00 ** KEPT (pick-wt=63): 361 [] hBOOL(hAPP(hAPP(c_in(tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),E)))))),c_List_Oset(F,tc_Event_Oevent)))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),F),c_NS__Shared__Mirabelle_Ons__shared))|hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),E))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,F)))).
% 177.97/178.00 ** KEPT (pick-wt=32): 362 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,C))),c_Message_Oanalz(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A)),c_Message_Oanalz(B))).
% 177.97/178.00 ** KEPT (pick-wt=18): 363 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Event_Oused(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)))).
% 177.97/178.00 ** KEPT (pick-wt=24): 364 [] -hBOOL(hAPP(hAPP(c_in(tc_nat),A),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)))|hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,A)),c_Event_Oused(B))).
% 177.97/178.00 ** KEPT (pick-wt=31): 365 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),C),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)))).
% 177.97/178.00 ** KEPT (pick-wt=29): 366 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B))))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),B),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/178.00 ** KEPT (pick-wt=29): 367 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),B),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/178.00 ** KEPT (pick-wt=8): 368 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OAgent(B)|A=B.
% 177.97/178.00 ** KEPT (pick-wt=18): 369 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(C,A)),c_Message_Oparts(B))).
% 177.97/178.00 ** KEPT (pick-wt=18): 370 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OMPair(A,C)),c_Message_Oparts(B))).
% 177.97/178.00 ** KEPT (pick-wt=6): 371 [] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 177.97/178.00 ** KEPT (pick-wt=15): 372 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),B)).
% 177.97/178.00 ** KEPT (pick-wt=7): 373 [] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 177.97/178.00 ** KEPT (pick-wt=6): 374 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 177.97/178.00 ** KEPT (pick-wt=18): 375 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),c_Message_Omsg_OCrypt(C,A)),c_Message_Oparts(B))).
% 177.97/178.00 ** KEPT (pick-wt=29): 376 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),B),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/178.00 ** KEPT (pick-wt=29): 377 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),c_Event_Obad))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))))| -hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),B),c_NS__Shared__Mirabelle_Ons__shared)).
% 177.97/178.00 ** KEPT (pick-wt=17): 378 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),A),c_Message_Oparts(c_Message_Oparts(B)))).
% 177.97/178.00 ** KEPT (pick-wt=10): 379 [] hAPP(c_Message_Omsg_OKey,A)!=hAPP(c_Message_Omsg_OKey,B)|A=B.
% 177.97/178.00 ** KEPT (pick-wt=6): 380 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 177.97/178.00 ** KEPT (pick-wt=20): 381 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A))),c_Event_Oknows(c_Message_Oagent_OSpy,B)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),c_Event_Obad)).
% 177.97/178.00 ** KEPT (pick-wt=6): 382 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 177.97/178.00 ** KEPT (pick-wt=7): 383 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 177.97/178.00 ** KEPT (pick-wt=6): 384 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 177.97/178.00 ** KEPT (pick-wt=6): 385 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 177.97/178.00 ** KEPT (pick-wt=11): 386 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(C,B)).
% 177.97/178.00 ** KEPT (pick-wt=11): 387 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),A)).
% 177.97/178.00 ** KEPT (pick-wt=10): 388 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|A=C.
% 177.97/178.00 ** KEPT (pick-wt=10): 389 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|B=D.
% 177.97/178.00 ** KEPT (pick-wt=10): 390 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|A=C.
% 177.97/178.00 ** KEPT (pick-wt=10): 391 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|B=D.
% 177.97/178.00 ** KEPT (pick-wt=20): 392 [] hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,A)),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat)))| -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),B)).
% 177.97/178.00 ** KEPT (pick-wt=20): 393 [] hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),A),B))| -hBOOL(hAPP(hAPP(c_in(tc_nat),hAPP(c_Public_OshrK,A)),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat))).
% 177.97/178.00 ** KEPT (pick-wt=7): 394 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 177.97/178.00 ** KEPT (pick-wt=7): 395 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 177.97/178.00 ** KEPT (pick-wt=7): 396 [] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 177.97/178.00 ** KEPT (pick-wt=7): 397 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 177.97/178.00 ** KEPT (pick-wt=10): 398 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OshrK,B)|A=B.
% 177.97/178.00 ** KEPT (pick-wt=20): 399 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 177.97/178.00 Following clause subsumed by 399 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 177.97/178.00 Following clause subsumed by 399 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 177.97/178.00 Following clause subsumed by 399 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 177.97/178.00 ** KEPT (pick-wt=7): 400 [] -hBOOL(hAPP(hAPP(c_in(tc_Message_Oagent),v_A),c_Event_Obad)).
% 177.97/178.00 ** KEPT (pick-wt=26): 402 [copy,401,flip.1] 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)))!=v_X|hBOOL(hAPP(hAPP(c_in(tc_nat),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))).
% 177.97/178.00 ** KEPT (pick-wt=6): 403 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 177.97/178.00 ** KEPT (pick-wt=6): 404 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 177.97/178.01 ** KEPT (pick-wt=6): 405 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 177.97/178.01 ** KEPT (pick-wt=8): 406 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 177.97/178.01 ** KEPT (pick-wt=6): 407 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 177.97/178.01 ** KEPT (pick-wt=6): 408 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 177.97/178.01 ** KEPT (pick-wt=6): 409 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 177.97/178.01 ** KEPT (pick-wt=6): 410 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 177.97/178.01 ** KEPT (pick-wt=6): 411 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 177.97/178.01 ** KEPT (pick-wt=6): 412 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 177.97/178.01 ** KEPT (pick-wt=7): 413 [] A=B| -c_fe_qual(A,B,C).
% 177.97/178.01 Following clause subsumed by 83 during input processing: 0 [copy,20,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 177.97/178.01 Following clause subsumed by 60 during input processing: 0 [copy,23,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 177.97/178.01 Following clause subsumed by 133 during input processing: 0 [copy,48,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 177.97/178.01 Following clause subsumed by 23 during input processing: 0 [copy,60,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 177.97/178.01 Following clause subsumed by 153 during input processing: 0 [copy,74,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 177.97/178.01 Following clause subsumed by 20 during input processing: 0 [copy,83,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 177.97/178.01 Following clause subsumed by 97 during input processing: 0 [copy,96,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 177.97/178.01 Following clause subsumed by 96 during input processing: 0 [copy,97,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 177.97/178.01 Following clause subsumed by 99 during input processing: 0 [copy,98,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 177.97/178.01 Following clause subsumed by 98 during input processing: 0 [copy,99,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 177.97/178.01 Following clause subsumed by 113 during input processing: 0 [copy,111,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 177.97/178.01 Following clause subsumed by 114 during input processing: 0 [copy,112,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 177.97/178.01 Following clause subsumed by 111 during input processing: 0 [copy,113,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 177.97/178.01 Following clause subsumed by 112 during input processing: 0 [copy,114,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 177.97/178.01 Following clause subsumed by 117 during input processing: 0 [copy,115,flip.1] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 177.97/178.01 Following clause subsumed by 118 during input processing: 0 [copy,116,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 177.97/178.01 Following clause subsumed by 115 during input processing: 0 [copy,117,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 177.97/178.01 Following clause subsumed by 116 during input processing: 0 [copy,118,flip.1] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 177.97/178.01 Following clause subsumed by 122 during input processing: 0 [copy,119,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 177.97/178.01 Following clause subsumed by 121 during input processing: 0 [copy,120,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 177.97/178.01 Following clause subsumed by 120 during input processing: 0 [copy,121,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 177.97/178.01 Following clause subsumed by 119 during input processing: 0 [copy,122,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 177.97/178.01 Following clause subsumed by 48 during input processing: 0 [copy,133,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 177.97/178.01 Following clause subsumed by 74 during input processing: 0 [copy,153,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 177.97/178.01 Following clause subsumed by 327 during input processing: 0 [copy,194,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),B)).
% 177.97/178.01 Following clause subsumed by 245 during input processing: 0 [copy,244,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 177.97/178.01 Following clause subsumed by 244 during input processing: 0 [copy,245,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 177.97/178.01 278 back subsumes 205.
% 177.97/178.01 278 back subsumes 178.
% 177.97/178.01 Following clause subsumed by 304 during input processing: 0 [copy,291,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 177.97/178.01 292 back subsumes 213.
% 177.97/178.01 Following clause subsumed by 315 during input processing: 0 [copy,296,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 177.97/178.01 Following clause subsumed by 331 during input processing: 0 [copy,303,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(C),D)).
% 177.97/178.01 Following clause subsumed by 291 during input processing: 0 [copy,304,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 177.97/178.01 Following clause subsumed by 296 during input processing: 0 [copy,315,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 177.97/178.01 323 back subsumes 211.
% 177.97/178.01 Following clause subsumed by 330 during input processing: 0 [copy,327,flip.1] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 177.97/178.01 Following clause subsumed by 327 during input processing: 0 [copy,330,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(B),C)).
% 177.97/178.01 330 back subsumes 194.
% 177.97/178.01 Following clause subsumed by 303 during input processing: 0 [copy,331,flip.1] hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 177.97/178.01 353 back subsumes 270.
% 177.97/178.01 Following clause subsumed by 385 during input processing: 0 [copy,371,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 177.97/178.01 Following clause subsumed by 397 during input processing: 0 [copy,373,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 177.97/178.01 Following clause subsumed by 380 during input processing: 0 [copy,374,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 177.97/178.01 Following clause subsumed by 374 during input processing: 0 [copy,380,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 177.97/178.01 Following clause subsumed by 384 during input processing: 0 [copy,382,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 177.97/178.01 Following clause subsumed by 394 during input processing: 0 [copy,383,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 177.97/178.01 Following clause subsumed by 382 during input processing: 0 [copy,384,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 177.97/178.01 Following clause subsumed by 371 during input processing: 0 [copy,385,flip.1] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 177.97/178.01 Following clause subsumed by 383 during input processing: 0 [copy,394,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 177.97/178.01 Following clause subsumed by 396 during input processing: 0 [copy,395,flip.1] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 177.97/178.01 Following clause subsumed by 395 during input processing: 0 [copy,396,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 177.97/178.01 Following clause subsumed by 373 during input processing: 0 [copy,397,flip.1] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 177.97/178.01 399 back subsumes 392.
% 177.97/178.01 399 back subsumes 359.
% 177.97/178.01 399 back subsumes 354.
% 177.97/178.01 399 back subsumes 346.
% 177.97/178.01 399 back subsumes 187.
% 177.97/178.01
% 177.97/178.01 ------------> process sos:
% 177.97/178.01 ** KEPT (pick-wt=3): 438 [] A=A.
% 177.97/178.01 ** KEPT (pick-wt=22): 439 [] 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_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=23): 440 [] 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_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(D),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=10): 441 [] 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)).
% 177.97/178.01 ---> New Demodulator: 442 [new_demod,441] 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)).
% 177.97/178.01 ** KEPT (pick-wt=35): 443 [] 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)).
% 177.97/178.01 ** KEPT (pick-wt=10): 445 [copy,444,flip.1] c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))=c_Message_OkeysFor(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))).
% 177.97/178.01 ---> New Demodulator: 446 [new_demod,445] c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))=c_Message_OkeysFor(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))).
% 177.97/178.01 ** KEPT (pick-wt=10): 447 [] 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)).
% 177.97/178.01 ---> New Demodulator: 448 [new_demod,447] 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)).
% 177.97/178.01 ** KEPT (pick-wt=20): 449 [] 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)).
% 177.97/178.01 Following clause subsumed by 449 during input processing: 0 [] 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_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(B,C)),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.97/178.01 Following clause subsumed by 449 during input processing: 0 [] 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_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=77): 451 [copy,450,flip.1] 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))=c_Event_OinitState(c_Message_Oagent_OServer).
% 177.97/178.01 ---> New Demodulator: 452 [new_demod,451] 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))=c_Event_OinitState(c_Message_Oagent_OServer).
% 177.97/178.01 ** KEPT (pick-wt=23): 454 [copy,453,flip.1] 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)).
% 177.97/178.01 ---> New Demodulator: 455 [new_demod,454] 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)).
% 177.97/178.01 Following clause subsumed by 438 during input processing: 0 [demod,455] 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))=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)).
% 177.97/178.01 ** KEPT (pick-wt=23): 456 [] 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)).
% 177.97/178.01 ** KEPT (pick-wt=8): 457 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 177.97/178.01 ** KEPT (pick-wt=16): 458 [] 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))).
% 177.97/178.01 ---> New Demodulator: 459 [new_demod,458] 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))).
% 177.97/178.01 ** KEPT (pick-wt=21): 460 [] 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).
% 177.97/178.01 ** KEPT (pick-wt=14): 461 [] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 177.97/178.01 ** KEPT (pick-wt=19): 462 [] 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)).
% 177.97/178.01 ** KEPT (pick-wt=19): 463 [] 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)).
% 177.97/178.01 ** KEPT (pick-wt=8): 464 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 177.97/178.01 ---> New Demodulator: 465 [new_demod,464] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 177.97/178.01 ** KEPT (pick-wt=19): 467 [copy,466,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 177.97/178.01 ---> New Demodulator: 468 [new_demod,467] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=19): 470 [copy,469,demod,468] 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)).
% 177.97/178.01 ** KEPT (pick-wt=9): 471 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=19): 472 [] c_lesse_quals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=9): 473 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=6): 474 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 177.97/178.01 ** KEPT (pick-wt=24): 476 [copy,475,demod,446] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(A,c_Message_OkeysFor(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_nat),tc_nat,tc_Message_Omsg),B,tc_fun(tc_Message_Omsg,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=11): 477 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 177.97/178.01 ---> New Demodulator: 478 [new_demod,477] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 177.97/178.01 ** KEPT (pick-wt=11): 479 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 177.97/178.01 ---> New Demodulator: 480 [new_demod,479] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 177.97/178.01 ** KEPT (pick-wt=36): 481 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool))).
% 177.97/178.01 ** KEPT (pick-wt=7): 482 [] c_lesse_quals(A,c_Message_Oanalz(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=19): 483 [] 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)).
% 177.97/178.01 Following clause subsumed by 471 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)).
% 177.97/178.01 ** KEPT (pick-wt=82): 485 [copy,484,demod,455,455,455,455,455,455,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_O
% 177.97/178.01 Search stopped in tp_alloc by max_mem option.
% 177.97/178.01 top__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).
% 177.97/178.01 ---> New Demodulator: 486 [new_demod,485] 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).
% 177.97/178.01 ** KEPT (pick-wt=11): 487 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=11): 488 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 177.97/178.01 ** KEPT (pick-wt=15): 489 [] 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)).
% 177.97/178.01 ** KEPT (pick-wt=13): 490 [] 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)).
% 177.97/178.01 ** KEPT (pick-wt=17): 491 [] 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)).
% 177.97/178.01 ** KEPT (pick-wt=18): 492 [] 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)).
% 177.97/178.01 ---> New Demodulator: 493 [new_demod,492] 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)).
% 177.97/178.01 ** KEPT (pick-wt=25): 494 [] 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)).
% 177.97/178.01
% 177.97/178.01 Search stopped in tp_alloc by max_mem option.
% 177.97/178.01
% 177.97/178.01 ============ end of search ============
% 177.97/178.01
% 177.97/178.01 -------------- statistics -------------
% 177.97/178.01 clauses given 0
% 177.97/178.01 clauses generated 27
% 177.97/178.01 clauses kept 466
% 177.97/178.01 clauses forward subsumed 103
% 177.97/178.01 clauses back subsumed 11
% 177.97/178.01 Kbytes malloced 11718
% 177.97/178.01
% 177.97/178.01 ----------- times (seconds) -----------
% 177.97/178.01 user CPU time 0.09 (0 hr, 0 min, 0 sec)
% 177.97/178.01 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 177.97/178.01 wall-clock time 178 (0 hr, 2 min, 58 sec)
% 177.97/178.01
% 177.97/178.01 Process 26313 finished Wed Jul 27 06:18:48 2022
% 177.97/178.01 Otter interrupted
% 177.97/178.01 PROOF NOT FOUND
%------------------------------------------------------------------------------