TSTP Solution File: SWV739-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV739-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 13:21:27 EDT 2022
% Result : Unknown 87.72s 87.87s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV739-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 06:33:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 87.50/87.61 ----- Otter 3.3f, August 2004 -----
% 87.50/87.61 The process was started by sandbox2 on n025.cluster.edu,
% 87.50/87.61 Wed Jul 27 06:33:30 2022
% 87.50/87.61 The command was "./otter". The process ID is 26657.
% 87.50/87.61
% 87.50/87.61 set(prolog_style_variables).
% 87.50/87.61 set(auto).
% 87.50/87.61 dependent: set(auto1).
% 87.50/87.61 dependent: set(process_input).
% 87.50/87.61 dependent: clear(print_kept).
% 87.50/87.61 dependent: clear(print_new_demod).
% 87.50/87.61 dependent: clear(print_back_demod).
% 87.50/87.61 dependent: clear(print_back_sub).
% 87.50/87.61 dependent: set(control_memory).
% 87.50/87.61 dependent: assign(max_mem, 12000).
% 87.50/87.61 dependent: assign(pick_given_ratio, 4).
% 87.50/87.61 dependent: assign(stats_level, 1).
% 87.50/87.61 dependent: assign(max_seconds, 10800).
% 87.50/87.61 clear(print_given).
% 87.50/87.61
% 87.50/87.61 list(usable).
% 87.50/87.61 0 [] A=A.
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_lesse_quals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg).
% 87.50/87.61 0 [] c_lesse_quals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_Set_Oimage(c_Fun_Othe__inv__into(V_A,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,V_A,T_a,T_b).
% 87.50/87.61 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).
% 87.50/87.61 0 [] hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x))=V_x| -c_in(V_x,V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 87.50/87.61 0 [] -c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)|hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x))=V_x| -c_in(V_x,V_A,T_aa).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oparts(V_H)| -c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OHash(V_msg_H)|V_msg=V_msg_H.
% 87.50/87.61 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 87.50/87.61 0 [] c_Message_OinvKey(c_Message_OinvKey(V_K))=V_K.
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_lesse_quals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg).
% 87.50/87.61 0 [] c_lesse_quals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.61 0 [] hAPP(c_Public_OshrK,V_A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 87.50/87.61 0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,V_G,tc_Message_Omsg).
% 87.50/87.61 0 [] hBOOL(hAPP(V_A,hAPP(V_f,V_x)))| -hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)).
% 87.50/87.61 0 [] hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))| -hBOOL(hAPP(V_A,hAPP(V_f,V_x))).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C))!=hAPP(c_Public_OshrK,V_A).
% 87.50/87.61 0 [] c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] hAPP(c_Public_OpublicKey(V_c),V_A_H)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)).
% 87.50/87.61 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 87.50/87.61 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 87.50/87.61 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 87.50/87.61 0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a).
% 87.50/87.61 0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -c_in(V_x,V_A,T_a).
% 87.50/87.61 0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oanalz(V_H)| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_lesse_quals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat).
% 87.50/87.61 0 [] c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)| -c_in(V_K,c_Message_OsymKeys,tc_nat).
% 87.50/87.61 0 [] c_Message_OinvKey(V_K)=V_K| -c_in(V_K,c_Message_OsymKeys,tc_nat).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_lesse_quals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_OinvKey(V_K)!=c_Message_OinvKey(V_K_H)|V_K=V_K_H.
% 87.50/87.61 0 [] c_Fun_Oinj__on(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 87.50/87.61 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))!=hAPP(c_Public_OpublicKey(V_c),V_A_H).
% 87.50/87.61 0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OHash(V_msg).
% 87.50/87.61 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 87.50/87.61 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] hAPP(c_Fun_Othe__inv__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).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.61 0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_lesse_quals(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a).
% 87.50/87.61 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a).
% 87.50/87.61 0 [] c_in(V_a,V_A,T_a)|V_a=V_b| -c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a).
% 87.50/87.61 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 87.50/87.61 0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a).
% 87.50/87.61 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a).
% 87.50/87.61 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|c_in(V_x,V_B,T_a)|c_in(V_x,V_A,T_a)|V_A=V_B.
% 87.50/87.61 0 [] c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)| -c_in(hAPP(V_f,V_a),V_B,T_b).
% 87.50/87.61 0 [] c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b)| -c_in(hAPP(V_f,V_a),V_A,T_a).
% 87.50/87.61 0 [] c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b)| -c_in(hAPP(V_f,V_a),V_B,T_a).
% 87.50/87.61 0 [] c_in(hAPP(V_f,V_a),V_B,T_b)| -c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a).
% 87.50/87.61 0 [] c_in(hAPP(V_f,V_a),V_A,T_b)| -c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a).
% 87.50/87.61 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OHash(V_msg).
% 87.50/87.61 0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))=c_Message_Oanalz(V_G)| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_lesse_quals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.61 0 [] c_Message_Omsg_OHash(V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 87.50/87.61 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 87.50/87.61 0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 87.50/87.61 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OHash(V_msg_H).
% 87.50/87.61 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 87.50/87.61 0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 87.50/87.61 0 [] c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_Message_OinvKey(hAPP(c_Public_OshrK,V_A))=hAPP(c_Public_OshrK,V_A).
% 87.50/87.61 0 [] c_lesse_quals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool))| -c_lesse_quals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.61 0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 0 [] hAPP(V_f,hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_y))=V_y| -c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 87.50/87.61 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b)=V_A| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 87.50/87.61 0 [] -c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(V_H))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg).
% 87.50/87.61 0 [] -c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 87.50/87.61 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.61 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)|V_A=c_Message_Oagent_OServer| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3).
% 87.50/87.61 0 [] -c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 0 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 0 [] c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 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)).
% 87.50/87.61 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.
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg)|c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|V_A=c_Message_Oagent_OSpy| -c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,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).
% 87.50/87.61 0 [] -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)|c_in(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),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)).
% 87.50/87.61 0 [] hBOOL(hAPP(V_P,V_x))|c_in(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),T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 87.50/87.61 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)|c_in(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),T_a).
% 87.50/87.61 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))| -c_in(V_b,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 87.50/87.61 0 [] -c_in(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),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).
% 87.50/87.61 0 [] c_in(hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_x),V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_a,V_A,T_a)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 87.50/87.61 0 [] c_in(V_a,V_A,T_a)| -c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 87.50/87.61 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evso).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] V_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 87.50/87.61 0 [] -c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat).
% 87.50/87.61 0 [] V_b=V_c| -c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)| -c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 87.50/87.61 0 [] -c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg).
% 87.50/87.61 0 [] -c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] -c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 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.
% 87.50/87.61 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.
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_y,c_List_Oset(V_xs,T_a),T_a)|V_y=V_x| -c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a).
% 87.50/87.61 0 [] c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf).
% 87.50/87.61 0 [] c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg).
% 87.50/87.61 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).
% 87.50/87.61 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.
% 87.50/87.61 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.
% 87.50/87.61 0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OGets(V_agent,V_msg).
% 87.50/87.61 0 [] c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 87.50/87.61 0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 87.50/87.61 0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 87.50/87.61 0 [] c_Message_Oparts(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 87.50/87.61 0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 87.50/87.61 0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_A=V_A_H.
% 87.50/87.61 0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_b=V_c.
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_nat=V_nat_H.
% 87.50/87.61 0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_msg=V_msg_H.
% 87.50/87.61 0 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)|c_in(V_A,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 0 [] c_Message_Osynth(c_Message_Osynth(V_H))=c_Message_Osynth(V_H).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] -c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 87.50/87.61 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 87.50/87.61 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 87.50/87.61 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 87.50/87.61 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -c_in(V_xa,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 87.50/87.61 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| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 87.50/87.61 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OMPair(V_msg1,V_msg2).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg).
% 87.50/87.61 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.
% 87.50/87.61 0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 87.50/87.61 0 [] c_Message_Oanalz(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 87.50/87.61 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 87.50/87.61 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 87.50/87.61 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 87.50/87.61 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 87.50/87.61 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 87.50/87.61 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H).
% 87.50/87.61 0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 87.50/87.61 0 [] c_Event_Oevent_OGets(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 87.50/87.61 0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 87.50/87.61 0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Public_OpublicKey(V_b),V_C).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] hAPP(c_Public_OpublicKey(V_b),V_C)!=hAPP(c_Public_OshrK,V_A).
% 87.50/87.61 0 [] c_in(hAPP(c_Public_OpublicKey(V_x),V_xa),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_xa,V_AA,tc_Message_Oagent).
% 87.50/87.61 0 [] c_in(V_x,V_AA,tc_Message_Oagent)| -c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 0 [] -c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 0 [] c_in(V_x,V_AA,tc_Message_Oagent)| -c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 0 [] c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_x,V_AA,tc_Message_Oagent).
% 87.50/87.61 0 [] -c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 0 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5).
% 87.50/87.61 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent))|c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)| -c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] c_lesse_quals(c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)),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).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_K,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4).
% 87.50/87.61 0 [] c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_KAB,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2).
% 87.50/87.61 0 [] c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] -c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(V_K,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 87.50/87.61 0 [] -c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|V_A=c_Message_Oagent_OSpy.
% 87.50/87.61 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)|V_A=c_Message_Oagent_OServer| -c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_K,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)| -c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_KAB,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)| -c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)| -c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] V_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] V_K_H=hAPP(c_Public_OshrK,V_A)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] -c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|V_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_K,V_nE,tc_nat)| -c_in(V_K,V_nE,tc_nat).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(V_x,V_A,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)| -c_in(V_x,V_A,tc_nat).
% 87.50/87.61 0 [] c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 87.50/87.61 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.
% 87.50/87.61 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.
% 87.50/87.61 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.
% 87.50/87.61 0 [] -c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_B,T_a).
% 87.50/87.61 0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_A,T_a).
% 87.50/87.61 0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONonce(V_nat).
% 87.50/87.61 0 [] c_Message_Omsg_OAgent(V_agent)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a).
% 87.50/87.61 0 [] c_in(V_t,V_B,T_a)| -c_in(V_t,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 87.50/87.61 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_Oanalz(c_Message_Oanalz(V_H))=c_Message_Oanalz(V_H).
% 87.50/87.61 0 [] c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OAgent(V_agent_H)|V_agent=V_agent_H.
% 87.50/87.61 0 [] c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat).
% 87.50/87.61 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 87.50/87.61 0 [] c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))!=c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))|V_A=V_B.
% 87.50/87.61 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 87.50/87.61 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 87.50/87.61 0 [] c_Message_Omsg_ONonce(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 87.50/87.61 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 87.50/87.61 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OAgent(V_agent).
% 87.50/87.61 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).
% 87.50/87.61 0 [] -c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a)| -c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 87.50/87.61 0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OSpy.
% 87.50/87.61 0 [] c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H)|V_nat=V_nat_H.
% 87.50/87.61 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 87.50/87.61 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 87.50/87.61 0 [] c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)|c_in(V_c,V_A,T_a).
% 87.50/87.61 0 [] -c_in(V_c,V_A,T_a)| -c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a).
% 87.50/87.61 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 87.50/87.61 0 [] c_in(hAPP(V_f,V_x),V_B,T_a)| -c_in(V_x,V_A,T_b)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 87.50/87.61 0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 87.50/87.61 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 87.50/87.61 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 87.50/87.61 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_ONonce(V_nat_H)|V_nat=V_nat_H.
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_K,V_nE,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)).
% 87.50/87.61 0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a).
% 87.50/87.61 0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a).
% 87.50/87.61 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))).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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))).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONonce(V_nat_H).
% 87.50/87.61 0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg1=V_msg1_H.
% 87.50/87.61 0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg2=V_msg2_H.
% 87.50/87.61 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 87.50/87.61 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 87.50/87.61 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 87.50/87.61 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 87.50/87.61 0 [] c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONonce(V_nat).
% 87.50/87.61 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 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)).
% 87.50/87.61 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).
% 87.50/87.61 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).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 87.50/87.61 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 87.50/87.61 0 [] hAPP(c_Public_OshrK,V_x)!=hAPP(c_Public_OshrK,V_y)|V_x=V_y.
% 87.50/87.61 0 [] -c_in(V_x,V_A,T_aa)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a).
% 87.50/87.61 0 [] -c_in(V_x,V_A,T_b)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 87.50/87.61 0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)| -c_in(V_x,V_A,T_b).
% 87.50/87.61 0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_x,V_A,T_a).
% 87.50/87.61 0 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 87.50/87.61 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 87.50/87.61 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 87.50/87.61 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 87.50/87.61 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 87.50/87.61 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_K,V_nE,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_K,V_nE,tc_nat).
% 87.50/87.61 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)).
% 87.50/87.61 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 87.50/87.61 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 87.50/87.61 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 87.50/87.61 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 87.50/87.61 0 [] c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 0 [] -c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg).
% 87.50/87.61 0 [] c_in(v_KAB,c_Message_OsymKeys,tc_nat).
% 87.50/87.61 0 [] c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_ONonce(v_NA)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 0 [] c_lesse_quals(v_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_K,V_KK,tc_nat)| -c_lesse_quals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)| -c_lesse_quals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)).
% 87.50/87.61 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)|c_in(V_K,V_KK,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_lesse_quals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)).
% 87.50/87.61 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 87.50/87.61 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 87.50/87.61 0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 87.50/87.61 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 87.50/87.61 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 87.50/87.61 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 87.50/87.61 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 87.50/87.61 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 87.50/87.61 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 87.50/87.61 0 [] class_Orderings_Opreorder(tc_nat).
% 87.50/87.61 0 [] class_Orderings_Olinorder(tc_nat).
% 87.50/87.61 0 [] class_Lattices_Olattice(tc_nat).
% 87.50/87.61 0 [] class_Orderings_Oorder(tc_nat).
% 87.50/87.61 0 [] class_HOL_Oord(tc_nat).
% 87.50/87.61 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 87.50/87.61 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 87.50/87.61 0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 87.50/87.61 0 [] class_Orderings_Opreorder(tc_bool).
% 87.50/87.61 0 [] class_Lattices_Olattice(tc_bool).
% 87.50/87.61 0 [] class_Orderings_Oorder(tc_bool).
% 87.50/87.61 0 [] class_Orderings_Otop(tc_bool).
% 87.50/87.61 0 [] class_HOL_Oord(tc_bool).
% 87.50/87.61 0 [] c_fe_qual(V_x,V_x,T_a).
% 87.50/87.61 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 87.50/87.61 end_of_list.
% 87.50/87.61
% 87.50/87.61 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 87.50/87.61
% 87.50/87.61 This ia a non-Horn set with equality. The strategy will be
% 87.50/87.61 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 87.50/87.61 deletion, with positive clauses in sos and nonpositive
% 87.50/87.61 clauses in usable.
% 87.50/87.61
% 87.50/87.61 dependent: set(knuth_bendix).
% 87.50/87.61 dependent: set(anl_eq).
% 87.50/87.61 dependent: set(para_from).
% 87.50/87.61 dependent: set(para_into).
% 87.50/87.61 dependent: clear(para_from_right).
% 87.50/87.61 dependent: clear(para_into_right).
% 87.50/87.61 dependent: set(para_from_vars).
% 87.50/87.61 dependent: set(eq_units_both_ways).
% 87.50/87.61 dependent: set(dynamic_demod_all).
% 87.50/87.61 dependent: set(dynamic_demod).
% 87.50/87.61 dependent: set(order_eq).
% 87.50/87.61 dependent: set(back_demod).
% 87.50/87.61 dependent: set(lrpo).
% 87.50/87.61 dependent: set(hyper_res).
% 87.50/87.61 dependent: set(unit_deletion).
% 87.50/87.61 dependent: set(factor).
% 87.50/87.61
% 87.50/87.61 ------------> process usable:
% 87.50/87.61 ** KEPT (pick-wt=17): 1 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_lesse_quals(C,c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=20): 2 [] c_Set_Oimage(c_Fun_Othe__inv__into(A,B,C,D),c_Set_Oimage(B,A,C,D),D,C)=A| -c_Fun_Oinj__on(B,A,C,D).
% 87.50/87.61 ** KEPT (pick-wt=20): 3 [] hAPP(c_Fun_Othe__inv__into(A,B,C,D),hAPP(B,E))=E| -c_in(E,A,C)| -c_Fun_Oinj__on(B,A,C,D).
% 87.50/87.61 Following clause subsumed by 3 during input processing: 0 [] -c_Fun_Oinj__on(A,B,C,D)|hAPP(c_Fun_Othe__inv__into(B,A,C,D),hAPP(A,E))=E| -c_in(E,B,C).
% 87.50/87.61 ** KEPT (pick-wt=13): 4 [] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oparts(B)| -c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=8): 5 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OHash(B)|A=B.
% 87.50/87.61 ** KEPT (pick-wt=17): 6 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_lesse_quals(C,c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Osynth(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=9): 7 [] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 87.50/87.61 ** KEPT (pick-wt=21): 8 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(C),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,C,tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=14): 9 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 87.50/87.61 ** KEPT (pick-wt=14): 10 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 87.50/87.61 ** KEPT (pick-wt=9): 11 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 87.50/87.61 ** KEPT (pick-wt=13): 12 [] c_in(A,c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=11): 13 [] c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=10): 14 [] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 87.50/87.61 ** KEPT (pick-wt=19): 15 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|c_in(D,A,C).
% 87.50/87.61 ** KEPT (pick-wt=19): 16 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 87.50/87.61 Following clause subsumed by 15 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 87.50/87.61 Following clause subsumed by 16 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 87.50/87.61 ** KEPT (pick-wt=13): 17 [] c_in(A,B,C)| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 87.50/87.61 ** KEPT (pick-wt=19): 18 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 87.50/87.61 ** KEPT (pick-wt=20): 19 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -c_in(B,C,D).
% 87.50/87.61 ** KEPT (pick-wt=13): 20 [] c_in(A,c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=13): 21 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=18): 22 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(C,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=17): 23 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_lesse_quals(C,c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=34): 24 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=9): 25 [] c_in(A,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat).
% 87.50/87.61 ** KEPT (pick-wt=9): 26 [] c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat)| -c_in(A,c_Message_OsymKeys,tc_nat).
% 87.50/87.61 ** KEPT (pick-wt=8): 27 [] c_Message_OinvKey(A)=A| -c_in(A,c_Message_OsymKeys,tc_nat).
% 87.50/87.61 ** KEPT (pick-wt=14): 28 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 87.50/87.61 ** KEPT (pick-wt=14): 29 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=18): 30 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(C,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=8): 31 [] c_Message_OinvKey(A)!=c_Message_OinvKey(B)|A=B.
% 87.50/87.61 ** KEPT (pick-wt=18): 32 [] c_Fun_Oinj__on(c_Fun_Othe__inv__into(A,B,C,D),c_Set_Oimage(B,A,C,D),D,C)| -c_Fun_Oinj__on(B,A,C,D).
% 87.50/87.61 ** KEPT (pick-wt=13): 33 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D).
% 87.50/87.61 ** KEPT (pick-wt=14): 34 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=10): 35 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 87.50/87.61 ** KEPT (pick-wt=6): 36 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 87.50/87.61 ** KEPT (pick-wt=16): 37 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=15): 38 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=15): 39 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=6): 40 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 87.50/87.61 ** KEPT (pick-wt=11): 41 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 87.50/87.61 ** KEPT (pick-wt=22): 42 [] hAPP(c_Fun_Othe__inv__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).
% 87.50/87.61 ** KEPT (pick-wt=15): 43 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=15): 44 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=16): 45 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=29): 46 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=29): 47 [] c_lesse_quals(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=11): 48 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 87.50/87.61 Following clause subsumed by 48 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 87.50/87.61 ** KEPT (pick-wt=14): 49 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C).
% 87.50/87.61 ** KEPT (pick-wt=20): 50 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D.
% 87.50/87.61 ** KEPT (pick-wt=14): 51 [] c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E).
% 87.50/87.61 Following clause subsumed by 51 during input processing: 0 [] c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E).
% 87.50/87.61 Following clause subsumed by 51 during input processing: 0 [] c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E).
% 87.50/87.61 ** KEPT (pick-wt=14): 52 [] c_in(hAPP(A,B),C,D)| -c_in(B,c_Set_Ovimage(A,C,E,D),E).
% 87.50/87.61 Following clause subsumed by 52 during input processing: 0 [] c_in(hAPP(A,B),C,D)| -c_in(B,c_Set_Ovimage(A,C,E,D),E).
% 87.50/87.61 ** KEPT (pick-wt=10): 53 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C).
% 87.50/87.61 ** KEPT (pick-wt=18): 54 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=15): 55 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=15): 56 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=20): 57 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(D,tc_bool)).
% 87.50/87.61 ** KEPT (pick-wt=6): 58 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 87.50/87.61 ** KEPT (pick-wt=6): 59 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 87.50/87.61 ** KEPT (pick-wt=19): 60 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -c_lesse_quals(C,B,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=26): 61 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.61 Following clause subsumed by 20 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)| -c_lesse_quals(D,C,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=29): 62 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg)| -c_lesse_quals(D,B,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(C,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=16): 63 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=14): 64 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=15): 65 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=15): 66 [] 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)).
% 87.50/87.61 ** KEPT (pick-wt=6): 67 [] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 87.50/87.61 ** KEPT (pick-wt=6): 68 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 87.50/87.61 ** KEPT (pick-wt=29): 69 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=5): 70 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 87.50/87.61 ** KEPT (pick-wt=5): 71 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 87.50/87.61 ** KEPT (pick-wt=5): 72 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 87.50/87.61 ** KEPT (pick-wt=5): 73 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 87.50/87.61 ** KEPT (pick-wt=14): 74 [] c_lesse_quals(c_Message_OkeysFor(A),c_Message_OkeysFor(B),tc_fun(tc_nat,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.61 ** KEPT (pick-wt=24): 75 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=24): 76 [] hAPP(A,hAPP(c_Fun_Othe__inv__into(B,A,C,D),E))=E| -c_in(E,c_Set_Oimage(A,B,C,D),D)| -c_Fun_Oinj__on(A,B,C,D).
% 87.50/87.61 ** KEPT (pick-wt=8): 77 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=19): 78 [] c_Set_Ovimage(A,c_Set_Oimage(A,B,C,D),C,D)=B| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 87.50/87.61 ** KEPT (pick-wt=7): 79 [] -c_in(c_Message_Omsg_ONonce(A),c_Message_Oparts(c_Event_OinitState(B)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=16): 80 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(B))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=23): 81 [] c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(D,c_Message_Oparts(C),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Set_Oinsert(D,B,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=11): 82 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=9): 83 [] -c_in(c_Message_Omsg_OHash(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=13): 84 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OpublicKey(C),D,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 ** KEPT (pick-wt=8): 85 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Message_OsymKeys,tc_nat).
% 87.50/87.61 ** KEPT (pick-wt=14): 86 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=14): 87 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=10): 88 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Set_Oimage(c_Message_Omsg_OKey,C,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=52): 89 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(E)))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),C))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)|A=c_Message_Oagent_OServer| -c_NS__Shared__Mirabelle_Ons__sharedp(D).
% 87.50/87.61 ** KEPT (pick-wt=40): 90 [] -c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(C,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=16): 91 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg)| -c_in(B,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 ** KEPT (pick-wt=19): 92 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg)| -c_in(A,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 ** KEPT (pick-wt=26): 93 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)| -c_in(C,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=29): 94 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(C)),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=29): 95 [] c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=12): 96 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 ** KEPT (pick-wt=42): 97 [] c_in(A,c_Event_OinitState(B),tc_Message_Omsg)|c_in(c_Event_Oevent_ONotes(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OSays(B,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(B,A,C),A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|B=c_Message_Oagent_OSpy| -c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=12): 98 [] c_in(c_Message_OinvKey(A),c_Message_OkeysFor(B),tc_nat)| -c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=34): 99 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oparts(B),tc_Message_Omsg)|c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)| -c_in(D,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(D,C,tc_Message_Omsg))),tc_nat).
% 87.50/87.61 ** KEPT (pick-wt=20): 100 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(C)),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=23): 101 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=23): 102 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=28): 103 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),E,tc_fun(C,tc_bool))| -c_lesse_quals(B,c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 87.50/87.61 ** KEPT (pick-wt=35): 105 [copy,104,flip.3] -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)|c_in(hAPP(A,D),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C),C)|hAPP(A,c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__2(hAPP(A,D),A,D,C,B))=hAPP(A,D).
% 87.50/87.61 ** KEPT (pick-wt=27): 106 [] hBOOL(hAPP(A,B))|c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(A,C,D,E),c_Set_Oimage(C,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E),E)| -c_Fun_Oinj__on(C,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E).
% 87.50/87.61 ** KEPT (pick-wt=31): 107 [] 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)|c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,C),C).
% 87.50/87.61 ** KEPT (pick-wt=28): 109 [copy,108,flip.1] hAPP(A,c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__1(B,A,C,D))=B| -c_in(B,c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,C),C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,C).
% 87.50/87.61 ** KEPT (pick-wt=30): 111 [copy,110,flip.3] -c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)|c_ATP__Linkup_Osko__Fun__Xrange__ex1__e_q__1__1(hAPP(A,B),A,D,C)=B.
% 87.50/87.61 ** KEPT (pick-wt=29): 112 [] c_in(hAPP(c_Fun_Othe__inv__into(A,B,C,D),E),F,C)| -c_lesse_quals(A,F,tc_fun(C,tc_bool))| -c_in(E,c_Set_Oimage(B,A,C,D),D)| -c_Fun_Oinj__on(B,A,C,D).
% 87.50/87.61 ** KEPT (pick-wt=20): 113 [] c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=28): 114 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 87.50/87.61 ** KEPT (pick-wt=28): 115 [] 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).
% 87.50/87.61 ** KEPT (pick-wt=22): 116 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E).
% 87.50/87.61 ** KEPT (pick-wt=22): 117 [] c_in(A,B,C)| -c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E).
% 87.50/87.61 ** KEPT (pick-wt=52): 118 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),hAPP(c_Message_Omsg_OKey,C)))),D,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_NS__Shared__Mirabelle_Ons__sharedp(D).
% 87.50/87.61 ** KEPT (pick-wt=14): 119 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)| -c_in(A,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 ** KEPT (pick-wt=20): 120 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 ** KEPT (pick-wt=20): 121 [] c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.61 ** KEPT (pick-wt=41): 122 [] A=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(D)))| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(D,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,D),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=7): 123 [] -c_in(hAPP(c_Public_OpublicKey(A),B),c_Message_OsymKeys,tc_nat).
% 87.50/87.61 ** KEPT (pick-wt=15): 124 [] A=B| -c_in(hAPP(c_Public_OpublicKey(A),C),c_Set_Oimage(c_Public_OpublicKey(B),D,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.61 ** KEPT (pick-wt=20): 125 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(C),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=19): 126 [] -c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(C,D),B,tc_Event_Oevent))),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=19): 127 [] -c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(C,D),B,tc_Event_Oevent))),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=11): 128 [] c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=11): 129 [] c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.61 Following clause subsumed by 129 during input processing: 0 [] c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=13): 130 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=13): 131 [] c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=10): 132 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.61 Following clause subsumed by 132 during input processing: 0 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.61 Following clause subsumed by 132 during input processing: 0 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=22): 133 [] 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.
% 87.50/87.61 ** KEPT (pick-wt=24): 134 [] 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.
% 87.50/87.61 ** KEPT (pick-wt=12): 135 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=12): 136 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=17): 137 [] c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(C),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=18): 138 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(C,A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=18): 139 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(A,C),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=18): 140 [] c_in(A,c_List_Oset(B,C),C)|A=D| -c_in(A,c_List_Oset(c_List_Olist_OCons(D,B,C),C),C).
% 87.50/87.61 ** KEPT (pick-wt=18): 141 [] c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)| -c_in(C,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Event_Oevent_ONotes(C,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.61 ** KEPT (pick-wt=22): 142 [] c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(C,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=18): 143 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(C).
% 87.50/87.61 ** KEPT (pick-wt=15): 144 [] c_in(A,c_Message_OkeysFor(B),tc_nat)| -c_in(A,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=12): 145 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 87.50/87.61 ** KEPT (pick-wt=12): 146 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 87.50/87.61 ** KEPT (pick-wt=7): 147 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 87.50/87.61 ** KEPT (pick-wt=10): 148 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|A=C.
% 87.50/87.61 ** KEPT (pick-wt=10): 149 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|B=D.
% 87.50/87.61 ** KEPT (pick-wt=7): 150 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 87.50/87.61 ** KEPT (pick-wt=10): 151 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|A=C.
% 87.50/87.61 ** KEPT (pick-wt=10): 152 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|B=D.
% 87.50/87.61 ** KEPT (pick-wt=12): 153 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=12): 154 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|B=D.
% 87.50/87.61 ** KEPT (pick-wt=12): 155 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|A=C.
% 87.50/87.61 ** KEPT (pick-wt=10): 156 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|A=C.
% 87.50/87.61 ** KEPT (pick-wt=10): 157 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|B=D.
% 87.50/87.61 ** KEPT (pick-wt=18): 158 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(C,A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=4): 159 [] -c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.61 ** KEPT (pick-wt=6): 160 [] c_List_Olist_OCons(A,B,C)!=B.
% 87.50/87.61 Following clause subsumed by 160 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 87.50/87.61 ** KEPT (pick-wt=23): 161 [] hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)|B=C| -c_Fun_Oinj__on(A,D,E,F).
% 87.50/87.61 Following clause subsumed by 161 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 87.50/87.61 Following clause subsumed by 161 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 87.50/87.61 Following clause subsumed by 161 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -c_in(C,D,E)| -c_in(B,D,E).
% 87.50/87.61 ** KEPT (pick-wt=9): 162 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=11): 163 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Message_Oparts(B)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=9): 164 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=11): 165 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Message_Osynth(B)),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=16): 166 [] 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).
% 87.50/87.61 ** KEPT (pick-wt=7): 167 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 87.50/87.61 ** KEPT (pick-wt=7): 168 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 87.50/87.61 ** KEPT (pick-wt=15): 169 [] 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).
% 87.50/87.61 ** KEPT (pick-wt=15): 170 [] 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).
% 87.50/87.61 Following clause subsumed by 164 during input processing: 0 [] c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=19): 171 [] c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg).
% 87.50/87.61 Following clause subsumed by 171 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,C),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=18): 172 [] c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg)| -c_in(B,c_Message_Osynth(C),tc_Message_Omsg).
% 87.50/87.61 ** KEPT (pick-wt=18): 173 [] 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.
% 87.50/87.61 ** KEPT (pick-wt=7): 174 [] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 87.50/87.62 ** KEPT (pick-wt=7): 175 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 87.50/87.62 ** KEPT (pick-wt=6): 176 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 87.50/87.62 ** KEPT (pick-wt=6): 177 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 87.50/87.62 ** KEPT (pick-wt=6): 178 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 87.50/87.62 ** KEPT (pick-wt=6): 179 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 87.50/87.62 ** KEPT (pick-wt=8): 180 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 87.50/87.62 ** KEPT (pick-wt=8): 181 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 87.50/87.62 ** KEPT (pick-wt=8): 182 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 87.50/87.62 ** KEPT (pick-wt=8): 183 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 87.50/87.62 ** KEPT (pick-wt=8): 184 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 87.50/87.62 ** KEPT (pick-wt=8): 185 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 87.50/87.62 ** KEPT (pick-wt=16): 186 [] c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OpublicKey(A),C,tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,C,tc_Message_Oagent).
% 87.50/87.62 ** KEPT (pick-wt=16): 187 [] c_in(A,B,tc_Message_Oagent)| -c_in(hAPP(c_Public_OpublicKey(C),A),c_Set_Oimage(c_Public_OpublicKey(D),B,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=11): 188 [] -c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=14): 189 [] c_in(A,B,tc_Message_Oagent)| -c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=14): 190 [] c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OshrK,B,tc_Message_Oagent,tc_nat),tc_nat)| -c_in(A,B,tc_Message_Oagent).
% 87.50/87.62 ** KEPT (pick-wt=11): 191 [] -c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=51): 192 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),E))))),c_List_Oset(F,tc_Event_Oevent),tc_Event_Oevent)| -c_in(F,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),E)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,F)),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=55): 193 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(D),c_Message_Omsg_ONonce(D)))),E,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),H))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(C,c_Message_OsymKeys,tc_nat)| -c_NS__Shared__Mirabelle_Ons__sharedp(E).
% 87.50/87.62 ** KEPT (pick-wt=23): 194 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(C)))),D,tc_Event_Oevent))|c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(D).
% 87.50/87.62 ** KEPT (pick-wt=24): 195 [] c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,c_Message_Omsg_OCrypt(E,c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(G,c_Message_Omsg_OMPair(H,A))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=24): 196 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg)| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=30): 197 [] c_lesse_quals(c_Set_Oimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C,D),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(A,B,C,D),tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 87.50/87.62 ** KEPT (pick-wt=23): 198 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,C)),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=12): 199 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=20): 200 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=20): 201 [] c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=41): 202 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),E,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(C,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(E).
% 87.50/87.62 ** KEPT (pick-wt=14): 203 [] c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=58): 204 [] c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),hAPP(c_Message_Omsg_OKey,C)))),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=13): 205 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(C,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=60): 206 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(A)))))))),E,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_ONonce(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(D,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(E).
% 87.50/87.62 ** KEPT (pick-wt=26): 207 [] c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,C,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(A,F))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=24): 208 [] -c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(A,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=20): 209 [] -c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,E),B,tc_Event_Oevent))),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=23): 210 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(C,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=17): 211 [] c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)| -c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|B=c_Message_Oagent_OSpy.
% 87.50/87.62 ** KEPT (pick-wt=58): 212 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(E)))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),C))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)|A=c_Message_Oagent_OServer| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=16): 213 [] c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=61): 214 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(D),c_Message_Omsg_ONonce(D)))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),H))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(C,c_Message_OsymKeys,tc_nat)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=47): 215 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(C,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=66): 216 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(A)))))))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_ONonce(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(D,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=29): 217 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(C)))),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg)| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=37): 218 [] A=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(D)))| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,D,c_Message_Omsg_OCrypt(F,c_Message_Omsg_OMPair(G,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),A))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=30): 219 [] A=hAPP(c_Public_OshrK,B)| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OCrypt(A,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),G))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=36): 220 [] -c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),G))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=47): 221 [] c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|A=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(E)))| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),A))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=46): 222 [] c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(C,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(D,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(G),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),A))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=15): 223 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 87.50/87.62 Following clause subsumed by 223 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)).
% 87.50/87.62 ** KEPT (pick-wt=13): 224 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 87.50/87.62 Following clause subsumed by 224 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 87.50/87.62 Following clause subsumed by 224 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 87.50/87.62 ** KEPT (pick-wt=20): 226 [copy,225,factor_simp] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=23): 228 [copy,227,factor_simp] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=12): 229 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 87.50/87.62 ** KEPT (pick-wt=12): 230 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 87.50/87.62 ** KEPT (pick-wt=12): 231 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 87.50/87.62 ** KEPT (pick-wt=14): 232 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=14): 233 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=14): 234 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=14): 235 [] c_in(A,B,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=14): 236 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=15): 237 [] c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=28): 238 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=7): 239 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 87.50/87.62 ** KEPT (pick-wt=9): 240 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=12): 241 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|C=F.
% 87.50/87.62 ** KEPT (pick-wt=12): 242 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|B=E.
% 87.50/87.62 ** KEPT (pick-wt=12): 243 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|A=D.
% 87.50/87.62 ** KEPT (pick-wt=18): 244 [] -c_in(A,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=13): 245 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D).
% 87.50/87.62 ** KEPT (pick-wt=13): 246 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,B,D).
% 87.50/87.62 ** KEPT (pick-wt=6): 247 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 87.50/87.62 ** KEPT (pick-wt=6): 248 [] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 87.50/87.62 ** KEPT (pick-wt=13): 249 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=13): 250 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=13): 251 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=13): 252 [] -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).
% 87.50/87.62 Following clause subsumed by 249 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).
% 87.50/87.62 Following clause subsumed by 250 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).
% 87.50/87.62 ** KEPT (pick-wt=17): 253 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=17): 254 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=14): 255 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 87.50/87.62 ** KEPT (pick-wt=14): 256 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 87.50/87.62 ** KEPT (pick-wt=14): 257 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 87.50/87.62 Following clause subsumed by 257 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 87.50/87.62 Following clause subsumed by 257 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 87.50/87.62 Following clause subsumed by 257 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=18): 258 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=14): 259 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=6): 260 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 87.50/87.62 ** KEPT (pick-wt=6): 261 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 87.50/87.62 Following clause subsumed by 259 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 87.50/87.62 ** KEPT (pick-wt=12): 262 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Event_Oused(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=12): 263 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Event_Oused(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=12): 264 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=12): 265 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=15): 266 [] c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(B,D,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=20): 267 [] 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)).
% 87.50/87.62 Following clause subsumed by 267 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 87.50/87.62 Following clause subsumed by 228 during input processing: 0 [factor_simp] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=8): 268 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OAgent(B)|A=B.
% 87.50/87.62 ** KEPT (pick-wt=10): 269 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 87.50/87.62 ** KEPT (pick-wt=14): 270 [] c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool))!=c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool))|A=C.
% 87.50/87.62 ** KEPT (pick-wt=12): 271 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 87.50/87.62 ** KEPT (pick-wt=12): 272 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 87.50/87.62 ** KEPT (pick-wt=6): 273 [] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 87.50/87.62 ** KEPT (pick-wt=6): 274 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 87.50/87.62 ** KEPT (pick-wt=9): 275 [] -c_in(c_Message_Omsg_ONonce(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=17): 276 [] c_in(A,B,C)|c_in(A,D,C)| -c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C).
% 87.50/87.62 ** KEPT (pick-wt=13): 277 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 87.50/87.62 ** KEPT (pick-wt=13): 278 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 87.50/87.62 ** KEPT (pick-wt=17): 279 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 87.50/87.62 ** KEPT (pick-wt=5): 280 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 87.50/87.62 ** KEPT (pick-wt=3): 282 [copy,281,flip.1] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 87.50/87.62 ** KEPT (pick-wt=16): 283 [] c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=10): 284 [] hAPP(c_Message_Omsg_OKey,A)!=hAPP(c_Message_Omsg_OKey,B)|A=B.
% 87.50/87.62 ** KEPT (pick-wt=6): 285 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 87.50/87.62 ** KEPT (pick-wt=10): 286 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=10): 287 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=20): 288 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))| -c_lesse_quals(C,A,tc_fun(B,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=20): 289 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 87.50/87.62 Following clause subsumed by 288 during input processing: 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))| -c_lesse_quals(C,A,tc_fun(B,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=14): 290 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,B,A).
% 87.50/87.62 ** KEPT (pick-wt=14): 291 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 87.50/87.62 ** KEPT (pick-wt=14): 292 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=12): 293 [] -c_in(A,B,C)| -c_in(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C).
% 87.50/87.62 ** KEPT (pick-wt=6): 294 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 87.50/87.62 ** KEPT (pick-wt=20): 295 [] c_in(hAPP(A,B),C,D)| -c_in(B,E,F)| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=6): 296 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 87.50/87.62 ** KEPT (pick-wt=8): 297 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 87.50/87.62 ** KEPT (pick-wt=11): 298 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(c_Message_Oanalz(B)),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=8): 299 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONonce(B)|A=B.
% 87.50/87.62 Following clause subsumed by 226 during input processing: 0 [factor_simp] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=8): 300 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)).
% 87.50/87.62 ** KEPT (pick-wt=8): 301 [] hBOOL(hAPP(A,B))| -c_in(B,A,C).
% 87.50/87.62 ** KEPT (pick-wt=17): 302 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=17): 303 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=17): 304 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=17): 305 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=25): 306 [] 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))).
% 87.50/87.62 ** KEPT (pick-wt=23): 307 [] 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)).
% 87.50/87.62 Following clause subsumed by 307 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)).
% 87.50/87.62 ** KEPT (pick-wt=17): 308 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=9): 309 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 87.50/87.62 ** KEPT (pick-wt=9): 310 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 87.50/87.62 Following clause subsumed by 308 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).
% 87.50/87.62 Following clause subsumed by 308 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).
% 87.50/87.62 ** KEPT (pick-wt=9): 311 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 87.50/87.62 ** KEPT (pick-wt=9): 312 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 87.50/87.62 ** KEPT (pick-wt=5): 313 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 87.50/87.62 ** KEPT (pick-wt=10): 314 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|A=C.
% 87.50/87.62 ** KEPT (pick-wt=10): 315 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|B=D.
% 87.50/87.62 ** KEPT (pick-wt=11): 316 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_Orderings_Otop__class_Otop(A).
% 87.50/87.62 ** KEPT (pick-wt=11): 317 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_Orderings_Otop__class_Otop(A).
% 87.50/87.62 Following clause subsumed by 282 during input processing: 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 87.50/87.62 ** KEPT (pick-wt=15): 318 [] c_in(A,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=6): 319 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 87.50/87.62 ** KEPT (pick-wt=7): 320 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 87.50/87.62 ** KEPT (pick-wt=11): 321 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 87.50/87.62 ** KEPT (pick-wt=11): 322 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 87.50/87.62 ** KEPT (pick-wt=14): 323 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=14): 324 [] -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).
% 87.50/87.62 ** KEPT (pick-wt=7): 325 [] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 87.50/87.62 ** KEPT (pick-wt=10): 326 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OshrK,B)|A=B.
% 87.50/87.62 ** KEPT (pick-wt=14): 327 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 87.50/87.62 Following clause subsumed by 327 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 87.50/87.62 Following clause subsumed by 327 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 87.50/87.62 Following clause subsumed by 327 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 87.50/87.62 ** KEPT (pick-wt=9): 328 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 87.50/87.62 ** KEPT (pick-wt=9): 329 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 87.50/87.62 Following clause subsumed by 328 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 87.50/87.62 Following clause subsumed by 328 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 87.50/87.62 Following clause subsumed by 328 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 87.50/87.62 Following clause subsumed by 318 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,B,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 318 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=16): 330 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 87.50/87.62 ** KEPT (pick-wt=14): 331 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 87.50/87.62 Following clause subsumed by 331 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 87.50/87.62 ** KEPT (pick-wt=14): 332 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 87.50/87.62 Following clause subsumed by 332 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 87.50/87.62 ** KEPT (pick-wt=7): 333 [] -c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 226 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,B,tc_nat)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)).
% 87.50/87.62 Following clause subsumed by 318 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=48): 334 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)|c_in(A,B,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=6): 335 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 87.50/87.62 ** KEPT (pick-wt=6): 336 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 87.50/87.62 ** KEPT (pick-wt=6): 337 [] class_Lattices_Oboolean__algebra(tc_fun(A,B))| -class_Lattices_Oboolean__algebra(B).
% 87.50/87.62 ** KEPT (pick-wt=6): 338 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 87.50/87.62 ** KEPT (pick-wt=6): 339 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 87.50/87.62 ** KEPT (pick-wt=6): 340 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 87.50/87.62 ** KEPT (pick-wt=6): 341 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 87.50/87.62 ** KEPT (pick-wt=6): 342 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 87.50/87.62 ** KEPT (pick-wt=7): 343 [] A=B| -c_fe_qual(A,B,C).
% 87.50/87.62 Following clause subsumed by 11 during input processing: 0 [copy,7,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 87.50/87.62 Following clause subsumed by 7 during input processing: 0 [copy,11,flip.1] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 87.50/87.62 Following clause subsumed by 35 during input processing: 0 [copy,14,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 87.50/87.62 Following clause subsumed by 14 during input processing: 0 [copy,35,flip.1] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 87.50/87.62 Following clause subsumed by 40 during input processing: 0 [copy,36,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 87.50/87.62 Following clause subsumed by 36 during input processing: 0 [copy,40,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 87.50/87.62 55 back subsumes 16.
% 87.50/87.62 Following clause subsumed by 59 during input processing: 0 [copy,58,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 87.50/87.62 Following clause subsumed by 58 during input processing: 0 [copy,59,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 87.50/87.62 Following clause subsumed by 68 during input processing: 0 [copy,67,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 87.50/87.62 Following clause subsumed by 67 during input processing: 0 [copy,68,flip.1] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 87.50/87.62 Following clause subsumed by 71 during input processing: 0 [copy,70,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 87.50/87.62 Following clause subsumed by 70 during input processing: 0 [copy,71,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 87.50/87.62 Following clause subsumed by 73 during input processing: 0 [copy,72,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 87.50/87.62 Following clause subsumed by 72 during input processing: 0 [copy,73,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 87.50/87.62 137 back subsumes 113.
% 87.50/87.62 Following clause subsumed by 150 during input processing: 0 [copy,147,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 87.50/87.62 Following clause subsumed by 147 during input processing: 0 [copy,150,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 87.50/87.62 164 back subsumes 130.
% 87.50/87.62 164 back subsumes 128.
% 87.50/87.62 164 back subsumes 102.
% 87.50/87.62 Following clause subsumed by 168 during input processing: 0 [copy,167,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 87.50/87.62 Following clause subsumed by 167 during input processing: 0 [copy,168,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 87.50/87.62 172 back subsumes 95.
% 87.50/87.62 Following clause subsumed by 175 during input processing: 0 [copy,174,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 87.50/87.62 Following clause subsumed by 174 during input processing: 0 [copy,175,flip.1] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 87.50/87.62 Following clause subsumed by 177 during input processing: 0 [copy,176,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 87.50/87.62 Following clause subsumed by 176 during input processing: 0 [copy,177,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 87.50/87.62 Following clause subsumed by 179 during input processing: 0 [copy,178,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 87.50/87.62 Following clause subsumed by 178 during input processing: 0 [copy,179,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 87.50/87.62 Following clause subsumed by 182 during input processing: 0 [copy,180,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 87.50/87.62 Following clause subsumed by 183 during input processing: 0 [copy,181,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 87.50/87.62 Following clause subsumed by 180 during input processing: 0 [copy,182,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 87.50/87.62 Following clause subsumed by 181 during input processing: 0 [copy,183,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 87.50/87.62 Following clause subsumed by 185 during input processing: 0 [copy,184,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 87.50/87.62 Following clause subsumed by 184 during input processing: 0 [copy,185,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 87.50/87.62 Following clause subsumed by 273 during input processing: 0 [copy,247,flip.1] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 87.50/87.62 Following clause subsumed by 296 during input processing: 0 [copy,248,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 87.50/87.62 267 back subsumes 114.
% 87.50/87.62 Following clause subsumed by 247 during input processing: 0 [copy,273,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 87.50/87.62 Following clause subsumed by 285 during input processing: 0 [copy,274,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 87.50/87.62 Following clause subsumed by 313 during input processing: 0 [copy,280,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 87.50/87.62 Following clause subsumed by 274 during input processing: 0 [copy,285,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 87.50/87.62 Following clause subsumed by 319 during input processing: 0 [copy,294,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 87.50/87.62 Following clause subsumed by 248 during input processing: 0 [copy,296,flip.1] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 87.50/87.62 Following clause subsumed by 280 during input processing: 0 [copy,313,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 87.50/87.62 318 back subsumes 228.
% 87.50/87.62 Following clause subsumed by 294 during input processing: 0 [copy,319,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 87.50/87.62 Following clause subsumed by 325 during input processing: 0 [copy,320,flip.1] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 87.50/87.62 Following clause subsumed by 320 during input processing: 0 [copy,325,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 87.50/87.62 327 back subsumes 236.
% 87.50/87.62 327 back subsumes 190.
% 87.50/87.62 327 back subsumes 186.
% 87.50/87.62 327 back subsumes 116.
% 87.50/87.62 349 back subsumes 347.
% 87.50/87.62
% 87.50/87.62 ------------> process sos:
% 87.50/87.62 ** KEPT (pick-wt=3): 360 [] A=A.
% 87.50/87.62 ** KEPT (pick-wt=14): 361 [] c_lesse_quals(c_Set_Oinsert(A,c_Message_Osynth(B),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(A,B,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=21): 362 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 363 [new_demod,362] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=13): 364 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 365 [new_demod,364] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=21): 366 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OHash(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=10): 367 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 87.50/87.62 ---> New Demodulator: 368 [new_demod,367] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 87.50/87.62 ** KEPT (pick-wt=7): 369 [] c_lesse_quals(A,c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=23): 370 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),D,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=19): 371 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=13): 372 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 373 [new_demod,372] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=14): 374 [] c_lesse_quals(c_Set_Oinsert(A,c_Message_Oparts(B),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=21): 375 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OHash(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=7): 376 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 87.50/87.62 ** KEPT (pick-wt=5): 377 [] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 87.50/87.62 ---> New Demodulator: 378 [new_demod,377] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 87.50/87.62 ** KEPT (pick-wt=21): 379 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=13): 380 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 381 [new_demod,380] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=7): 382 [] c_lesse_quals(A,c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=15): 383 [] c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 384 [new_demod,383] c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oparts(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=9): 385 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 87.50/87.62 ---> New Demodulator: 386 [new_demod,385] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 87.50/87.62 ** KEPT (pick-wt=13): 387 [] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 87.50/87.62 ---> New Demodulator: 388 [new_demod,387] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 87.50/87.62 ** KEPT (pick-wt=14): 389 [] c_lesse_quals(c_Set_Oinsert(A,c_Message_Oanalz(B),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=14): 390 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=21): 391 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 392 [new_demod,391] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=23): 393 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OMPair(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(B,C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),D,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=13): 394 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 395 [new_demod,394] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=21): 396 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OAgent(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=13): 397 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 398 [new_demod,397] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=21): 399 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_ONonce(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=19): 400 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=21): 401 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_ONonce(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=19): 402 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=12): 403 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 87.50/87.62 ---> New Demodulator: 404 [new_demod,403] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 87.50/87.62 ** KEPT (pick-wt=9): 405 [] c_lesse_quals(c_Event_OinitState(A),c_Event_Oknows(A,B),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=9): 406 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 87.50/87.62 ---> New Demodulator: 407 [new_demod,406] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 87.50/87.62 ** KEPT (pick-wt=23): 408 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OMPair(C,D),E,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(C,D),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),E,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=15): 409 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 87.50/87.62 ** KEPT (pick-wt=19): 410 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=11): 411 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_OinitState(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=18): 412 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 413 [new_demod,412] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OAgent(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=9): 414 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 87.50/87.62 ---> New Demodulator: 415 [new_demod,414] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 87.50/87.62 ** KEPT (pick-wt=13): 416 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(C,B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=13): 417 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 418 [new_demod,417] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=10): 419 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 87.50/87.62 ---> New Demodulator: 420 [new_demod,419] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 87.50/87.62 ** KEPT (pick-wt=8): 421 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=7): 422 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 87.50/87.62 Following clause subsumed by 422 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 87.50/87.62 Following clause subsumed by 422 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 87.50/87.62 ** KEPT (pick-wt=9): 423 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=19): 425 [copy,424,flip.1] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 87.50/87.62 ---> New Demodulator: 426 [new_demod,425] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 87.50/87.62 Following clause subsumed by 360 during input processing: 0 [demod,426] c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 87.50/87.62 ** KEPT (pick-wt=19): 428 [copy,427,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 87.50/87.62 ---> New Demodulator: 429 [new_demod,428] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=19): 431 [copy,430,demod,429] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=25): 432 [] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=13): 433 [] c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=23): 434 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=7): 435 [] c_lesse_quals(A,c_Message_Oanalz(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=19): 436 [] c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),D,C)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,D,C),tc_fun(D,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=8): 437 [] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 87.50/87.62 ---> New Demodulator: 438 [new_demod,437] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 87.50/87.62 ** KEPT (pick-wt=9): 439 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_OinitState(A),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=10): 440 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_OinitState(C),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=16): 441 [] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(A,D),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 442 [new_demod,441] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(A,D),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 416 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,E),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 Following clause subsumed by 416 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(C,D),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=15): 443 [] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(A,C),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 444 [new_demod,443] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(A,C),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 416 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OGets(C,D),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=10): 445 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oused(C),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 416 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(B,C),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=18): 446 [] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(A,C),tc_Message_Omsg)|A=c_Message_Oagent_OSpy.
% 87.50/87.62 Following clause subsumed by 416 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(B,C),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 Following clause subsumed by 416 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(B,C,D),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=16): 447 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 448 [new_demod,447] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=10): 449 [] c_lesse_quals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),c_Event_Oused(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=21): 450 [] c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_OkeysFor(c_Message_Oanalz(B)),tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=11): 451 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_Oused(C),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=12): 452 [] c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 453 [new_demod,452] c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=22): 454 [] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ---> New Demodulator: 455 [new_demod,454] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=12): 456 [] c_Message_Oanalz(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ---> New Demodulator: 457 [new_demod,456] c_Message_Oanalz(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=6): 458 [] c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 458 during input processing: 0 [] c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 423 during input processing: 0 [demod,388] c_lesse_quals(c_List_Oset(A,B),c_Set_Oinsert(C,c_List_Oset(A,B),B),tc_fun(B,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=10): 459 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 87.50/87.62 ---> New Demodulator: 460 [new_demod,459] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 87.50/87.62 ** KEPT (pick-wt=4): 461 [] c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.62 ** KEPT (pick-wt=6): 462 [] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 87.50/87.62 ---> New Demodulator: 463 [new_demod,462] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 87.50/87.62 ** KEPT (pick-wt=12): 464 [] c_Message_Oparts(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ---> New Demodulator: 465 [new_demod,464] c_Message_Oparts(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=16): 466 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C)|c_in(A,c_Event_Obad,tc_Message_Oagent).
% 87.50/87.62 ** KEPT (pick-wt=6): 467 [] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 87.50/87.62 ---> New Demodulator: 468 [new_demod,467] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 87.50/87.62 ** KEPT (pick-wt=6): 469 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 87.50/87.62 ---> New Demodulator: 470 [new_demod,469] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 87.50/87.62 ** KEPT (pick-wt=6): 471 [] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 87.50/87.62 ---> New Demodulator: 472 [new_demod,471] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 87.50/87.62 ** KEPT (pick-wt=12): 473 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C).
% 87.50/87.62 ---> New Demodulator: 474 [new_demod,473] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C).
% 87.50/87.62 ** KEPT (pick-wt=16): 475 [] 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)).
% 87.50/87.62 ---> New Demodulator: 476 [new_demod,475] 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)).
% 87.50/87.62 ** KEPT (pick-wt=11): 477 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=12): 478 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=25): 479 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 87.50/87.62 ** KEPT (pick-wt=9): 480 [] c_lesse_quals(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=6): 481 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 87.50/87.62 Following clause subsumed by 481 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=6): 482 [] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 87.50/87.62 ---> New Demodulator: 483 [new_demod,482] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 87.50/87.62 ** KEPT (pick-wt=25): 484 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=6): 485 [] c_in(hAPP(c_Public_OshrK,A),c_Message_OsymKeys,tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=7): 486 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)).
% 87.50/87.62 ** KEPT (pick-wt=12): 487 [] c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 87.50/87.62 ---> New Demodulator: 488 [new_demod,487] c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=7): 489 [] c_in(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B).
% 87.50/87.62 ** KEPT (pick-wt=14): 490 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 87.50/87.62 ---> New Demodulator: 491 [new_demod,490] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=14): 492 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 87.50/87.62 ---> New Demodulator: 493 [new_demod,492] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=12): 494 [] c_in(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C)|c_in(A,B,C).
% 87.50/87.62 ** KEPT (pick-wt=10): 495 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(A,B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=8): 496 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 87.50/87.62 ---> New Demodulator: 497 [new_demod,496] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 87.50/87.62 ** KEPT (pick-wt=13): 498 [] c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D).
% 87.50/87.62 ** KEPT (pick-wt=16): 499 [] 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))).
% 87.50/87.62 ---> New Demodulator: 500 [new_demod,499] 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))).
% 87.50/87.62 ** KEPT (pick-wt=23): 501 [] 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)).
% 87.50/87.62 ** KEPT (pick-wt=23): 502 [] 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)).
% 87.50/87.62 ---> New Demodulator: 503 [new_demod,502] 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)).
% 87.50/87.62 Following clause subsumed by 360 during input processing: 0 [demod,503] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=11): 504 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=11): 505 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=15): 506 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),A,tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=15): 507 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=13): 508 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=18): 509 [] 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)).
% 87.50/87.62 ---> New Demodulator: 510 [new_demod,509] 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)).
% 87.50/87.62 ** KEPT (pick-wt=9): 511 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 511 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg).
% 87.50/87.62 ** KEPT (pick-wt=11): 512 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 87.50/87.62 ---> New Demodulator: 513 [new_demod,512] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 87.50/87.62 ** KEPT (pick-wt=5): 514 [] c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 87.50/87.62 ** KEPT (pick-wt=4): 515 [] c_in(v_KAB,c_Message_OsymKeys,tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=16): 516 [] c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_ONonce(v_NA)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent).
% 87.50/87.62 ** KEPT (pick-wt=17): 517 [] c_lesse_quals(v_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=2): 518 [] class_Lattices_Oupper__semilattice(tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=2): 519 [] class_Orderings_Opreorder(tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=2): 520 [] class_Orderings_Olinorder(tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=2): 521 [] class_Lattices_Olattice(tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=2): 522 [] class_Orderings_Oorder(tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=2): 523 [] class_HOL_Oord(tc_nat).
% 87.50/87.62 ** KEPT (pick-wt=2): 524 [] class_Lattices_Oupper__semilattice(tc_bool).
% 87.50/87.62 ** KEPT (pick-wt=2): 525 [] class_Lattices_Obounded__lattice(tc_bool).
% 87.50/87.62 ** KEPT (pick-wt=2): 526 [] class_Lattices_Oboolean__algebra(tc_bool).
% 87.50/87.62 ** KEPT (pick-wt=2): 527 [] class_Orderings_Opreorder(tc_bool).
% 87.50/87.62 ** KEPT (pick-wt=2): 528 [] class_Lattices_Olattice(tc_bool).
% 87.50/87.62 ** KEPT (pick-wt=2): 529 [] class_Orderings_Oorder(tc_bool).
% 87.50/87.62 ** KEPT (pick-wt=2): 530 [] class_Orderings_Otop(tc_bool).
% 87.50/87.62 ** KEPT (pick-wt=2): 531 [] class_HOL_Oord(tc_bool).
% 87.50/87.62 ** KEPT (pick-wt=4): 532 [] c_fe_qual(A,A,B).
% 87.50/87.62 Following clause subsumed by 360 during input processing: 0 [copy,360,flip.1] A=A.
% 87.50/87.62 360 back subsumes 352.
% 87.50/87.62 360 back subsumes 351.
% 87.50/87.62 360 back subsumes 350.
% 87.50/87.62 360 back subsumes 345.
% 87.50/87.62 >>>> Starting back demodulation with 363.
% 87.50/87.62 >>>> Starting back demodulation with 365.
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [copy,366,flip.1] c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),c_Set_Oinsert(c_Message_Omsg_OHash(A),D,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 >>>> Starting back demodulation with 368.
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [copy,370,flip.1] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 >>>> Starting back demodulation with 373.
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [copy,375,flip.1] c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),c_Set_Oinsert(c_Message_Omsg_OHash(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 >>>> Starting back demodulation with 378.
% 87.50/87.62 379 back subsumes 46.
% 87.50/87.62 >>>> Starting back demodulation with 381.
% 87.50/87.62 >>>> Starting back demodulation with 384.
% 87.50/87.62 >>>> Starting back demodulation with 386.
% 87.50/87.62 >>>> Starting back demodulation with 388.
% 87.50/87.62 >> back demodulating 140 with 388.
% 87.50/87.62 >>>> Starting back demodulation with 392.
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [copy,393,flip.1] c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,C),c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 >>>> Starting back demodulation with 395.
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [copy,396,flip.1] c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),c_Set_Oinsert(c_Message_Omsg_OAgent(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 >>>> Starting back demodulation with 398.
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [copy,399,flip.1] c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),c_Set_Oinsert(c_Message_Omsg_ONonce(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [copy,401,flip.1] c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),c_Set_Oinsert(c_Message_Omsg_ONonce(A),D,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 >>>> Starting back demodulation with 404.
% 87.50/87.62 >>>> Starting back demodulation with 407.
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [copy,408,flip.1] c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Set_Oinsert(c_Message_Omsg_OCrypt(C,D),E,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(C,D),c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),E,tc_Message_Omsg),tc_Message_Omsg).
% 87.50/87.62 Following clause subsumed by 409 during input processing: 0 [copy,409,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 87.50/87.62 409 back subsumes 408.
% 87.50/87.62 409 back subsumes 401.
% 87.50/87.62 409 back subsumes 399.
% 87.50/87.62 409 back subsumes 396.
% 87.50/87.62 409 back subsumes 393.
% 87.50/87.62 409 back subsumes 375.
% 87.50/87.62 409 back subsumes 370.
% 87.50/87.62 409 back subsumes 366.
% 87.50/87.62 >>>> Starting back demodulation with 413.
% 87.50/87.62 >>>> Starting back demodulation with 415.
% 87.50/87.62 >>>> Starting back demodulation with 418.
% 87.50/87.62 >>>> Starting back demodulation with 420.
% 87.50/87.62 >>>> Starting back demodulation with 426.
% 87.50/87.62 >> back demodulating 19 with 426.
% 87.50/87.62 >>>> Starting back demodulation with 429.
% 87.50/87.62 ** KEPT (pick-wt=19): 534 [copy,431,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 87.50/87.62 ** KEPT (pick-wt=25): 535 [copy,432,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,tc_bool)),C,D).
% 87.50/87.62 ** KEPT (pick-wt=13): 536 [copy,433,flip.1] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_Set_Ovimage(B,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),A,C).
% 87.50/87.62 ** KEPT (pick-wt=19): 537 [copy,436,flip.1] c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(D,tc_bool)),C,D).
% 87.50/87.62 >>>> Starting back demodulation with 438.
% 87.50/87.62 >>>> Starting back demodulation with 442.
% 87.50/87.62 >>>> Starting back demodulation with 444.
% 87.50/87.62 >>>> Starting back demodulation with 448.
% 87.50/87.62 >> back demodulating 209 with 448.
% 87.50/87.62 >>>> Starting back demodulation with 453.
% 87.50/87.62 >>>> Starting back demodulation with 455.
% 87.50/87.62 >>>> Starting back demodulation with 457.
% 87.50/87.62 >>>> Starting back demodulation with 460.
% 87.50/87.62 >>>> Starting back demodulation with 463.
% 87.50/87.62 >> back demodulating 163 with 463.
% 87.50/87.62 >>>> Starting back demodulation with 465.
% 87.50/87.62 >>>> Starting back demodulation with 468.
% 87.50/87.62 >> back demodulating 165 with 468.
% 87.50/87.62 >>>> Starting back demodulation with 470.
% 87.50/87.62 >>>> Starting back demodulation with 472.
% 87.50/87.62 >>>> Starting back demodulation with 474.
% 87.50/87.62 >> back demodulating 127 with 474.
% 87.50/87.62 >>>> Starting back demodulation with 476.
% 87.50/87.62 >> back demodulating 410 with 476.
% 87.50/87.62 >> back demodulating 402 with 476.
% 87.50/87.62 >> back demodulating 348 with 476.
% 87.50/87.62 >> back demodulating 346 with 476.
% 87.50/87.62 >> back demodulating 125 with 476.
% 87.50/87.62 >> back demodulating 99 with 476.
% 87.50/87.62 >> back demodulating 81 with 476.
% 87.50/87.62 Following clause subsumed by 484 during input processing: 0 [copy,479,flip.1] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 87.50/87.62 >>>> Starting back demodulation with 483.
% 87.50/87.62 >> back demodulating 298 with 483.
% 87.50/87.62 Following clause subsumed by 479 during input processing: 0 [copy,484,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 87.50/87.62 >>>> Starting back demodulation with 488.
% 87.72/87.87 >>>> Starting back demodulation with 491.
% 87.72/87.87 >>>> Starting back demodulation with 493.
% 87.72/87.87 >>>> Starting back demodulation with 497.
% 87.72/87.87 >> back demodulating 358 with 497.
% 87.72/87.87 >> back demodulating 357 with 497.
% 87.72/87.87 >> back demodulating 356 with 497.
% 87.72/87.87 >> back demodulating 355 with 497.
% 87.72/87.87 >> back demodulating 353 with 497.
% 87.72/87.87 >> back demodulating 344 with 497.
% 87.72/87.87 498 back subsumes 107.
% 87.72/87.87 498 back subsumes 105.
% 87.72/87.87 >>>> Starting back demodulation with 500.
% 87.72/87.87 Following clause subsumed by 501 during input processing: 0 [copy,501,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 87.72/87.87 >>>> Starting back demodulation with 503.
% 87.72/87.87 ** KEPT (pick-wt=15): 540 [copy,506,flip.1] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 87.72/87.87 ** KEPT (pick-wt=15): 541 [copy,507,flip.1] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 87.72/87.87 Following clause subsumed by 508 during input processing: 0 [copy,508,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 87.72/87.87 >>>> Starting back demodulation with 510.
% 87.72/87.87 >>>> Starting back demodulation with 513.
% 87.72/87.87 Following clause subsumed by 431 during input processing: 0 [copy,534,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 87.72/87.87 Following clause subsumed by 432 during input processing: 0 [copy,535,flip.1] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 87.72/87.87 Following clause subsumed by 433 during input processing: 0 [copy,536,flip.1] c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 87.72/87.87 Following clause subsumed by 436 during input processing: 0 [copy,537,flip.1] c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),D,C)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,D,C),tc_fun(D,tc_bool)).
% 87.72/87.87 Following clause subsumed by 506 during input processing: 0 [copy,540,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),A,tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 87.72/87.87 Following clause subsumed by 507 during input processing: 0 [copy,541,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 87.72/87.87
% 87.72/87.87 ======= end of input processing =======
% 87.72/87.87
% 87.72/87.87 =========== start of search ===========
% 87.72/87.87
% 87.72/87.87
% 87.72/87.87 Resetting weight limit to 2.
% 87.72/87.87
% 87.72/87.87
% 87.72/87.87 Resetting weight limit to 2.
% 87.72/87.87
% 87.72/87.87 sos_size=124
% 87.72/87.87
% 87.72/87.87 Search stopped because sos empty.
% 87.72/87.87
% 87.72/87.87
% 87.72/87.87 Search stopped because sos empty.
% 87.72/87.87
% 87.72/87.87 ============ end of search ============
% 87.72/87.87
% 87.72/87.87 -------------- statistics -------------
% 87.72/87.87 clauses given 125
% 87.72/87.87 clauses generated 33517
% 87.72/87.87 clauses kept 488
% 87.72/87.87 clauses forward subsumed 130
% 87.72/87.87 clauses back subsumed 28
% 87.72/87.87 Kbytes malloced 9765
% 87.72/87.87
% 87.72/87.87 ----------- times (seconds) -----------
% 87.72/87.87 user CPU time 0.27 (0 hr, 0 min, 0 sec)
% 87.72/87.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 87.72/87.87 wall-clock time 88 (0 hr, 1 min, 28 sec)
% 87.72/87.87
% 87.72/87.87 Process 26657 finished Wed Jul 27 06:34:58 2022
% 87.72/87.87 Otter interrupted
% 87.72/87.87 PROOF NOT FOUND
%------------------------------------------------------------------------------