TSTP Solution File: SWV719-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV719-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 13:21:24 EDT 2022
% Result : Unknown 113.25s 113.39s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV719-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 06:10:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 111.91/112.03 ----- Otter 3.3f, August 2004 -----
% 111.91/112.03 The process was started by sandbox2 on n021.cluster.edu,
% 111.91/112.03 Wed Jul 27 06:10:38 2022
% 111.91/112.03 The command was "./otter". The process ID is 24998.
% 111.91/112.03
% 111.91/112.03 set(prolog_style_variables).
% 111.91/112.03 set(auto).
% 111.91/112.03 dependent: set(auto1).
% 111.91/112.03 dependent: set(process_input).
% 111.91/112.03 dependent: clear(print_kept).
% 111.91/112.03 dependent: clear(print_new_demod).
% 111.91/112.03 dependent: clear(print_back_demod).
% 111.91/112.03 dependent: clear(print_back_sub).
% 111.91/112.03 dependent: set(control_memory).
% 111.91/112.03 dependent: assign(max_mem, 12000).
% 111.91/112.03 dependent: assign(pick_given_ratio, 4).
% 111.91/112.03 dependent: assign(stats_level, 1).
% 111.91/112.03 dependent: assign(max_seconds, 10800).
% 111.91/112.03 clear(print_given).
% 111.91/112.03
% 111.91/112.03 list(usable).
% 111.91/112.03 0 [] A=A.
% 111.91/112.03 0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 111.91/112.03 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.91/112.03 0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OHash(V_msg_H)|V_msg=V_msg_H.
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a).
% 111.91/112.03 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OGets(V_agent,V_msg).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 111.91/112.03 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 111.91/112.03 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(V_A,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),V_C,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(V_K,V_KK,tc_nat),tc_nat,tc_Message_Omsg),V_C,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_x,V_B,T_a).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a).
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,V_A,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,V_A,T_a).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)| -c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oparts(c_Message_Osynth(V_H))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,c_List_Osko__List__Xfilter__False__1__1(V_P,V_xs,T_a))).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,c_List_Osko__List__Xfilter__empty__conv__1__1(V_P,V_xs,T_a))).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Message_Osynth(V_H))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(V_G),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a)| -hBOOL(hAPP(V_P,c_List_Osko__List__XdropWhile__e_q__Nil__conv__1__1(V_P,V_xs,T_a))).
% 111.91/112.03 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] V_b=V_c| -c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.03 0 [] c_List_OtakeWhile(V_P,V_xs,T_a)=c_List_Ofilter(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,c_List_Osko__List__XtakeWhile__e_q__filter__1__1(V_P,V_xs,T_a))).
% 111.91/112.03 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.91/112.03 0 [] c_lesse_quals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))=c_Event_Oused(V_evs).
% 111.91/112.03 0 [] c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg)|c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|V_A=c_Message_Oagent_OSpy| -c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 111.91/112.03 0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OHash(V_X))| -c_Message_Osynthp(V_H,V_X).
% 111.91/112.03 0 [] c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 111.91/112.03 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 111.91/112.03 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 111.91/112.03 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 111.91/112.03 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 111.91/112.03 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 111.91/112.03 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(V_Y,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 111.91/112.03 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 111.91/112.03 0 [] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 111.91/112.03 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 111.91/112.03 0 [] c_Message_Oanalz(V_H)!=c_Message_Oanalz(V_H_H)|c_Message_Oanalz(V_G)!=c_Message_Oanalz(V_G_H)|c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))).
% 111.91/112.03 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 111.91/112.03 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 111.91/112.03 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 111.91/112.03 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(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(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 111.91/112.03 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 111.91/112.03 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 111.91/112.03 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 111.91/112.03 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OHash(V_msg_H).
% 111.91/112.03 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(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_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_A,T_a).
% 111.91/112.03 0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_B,T_a).
% 111.91/112.03 0 [] c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a)| -c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] -c_in(V_c,V_B,T_a)| -c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] c_in(V_c,V_A,T_a)| -c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 111.91/112.03 0 [] c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 111.91/112.03 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OHash(V_msg).
% 111.91/112.03 0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 111.91/112.03 0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.91/112.03 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OHash(V_msg).
% 111.91/112.03 0 [] c_Message_Omsg_OHash(V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 111.91/112.03 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 111.91/112.03 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 111.91/112.03 0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 111.91/112.03 0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H).
% 111.91/112.03 0 [] c_Event_Oevent_OGets(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 111.91/112.03 0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(V_A).
% 111.91/112.03 0 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -c_in(V_a,V_A,T_a).
% 111.91/112.03 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=V_A|c_in(V_x,V_A,T_a).
% 111.91/112.03 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_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 111.91/112.03 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.03 0 [] -c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg).
% 111.91/112.03 0 [] -c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.03 0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.03 0 [] -c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.03 0 [] -c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.03 0 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,V_evs).
% 111.91/112.03 0 [] c_lesse_quals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A))!=hAPP(c_Public_OshrK,V_B).
% 111.91/112.03 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 111.91/112.03 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 111.91/112.03 0 [] c_List_Olast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olast(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 111.91/112.03 0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -c_in(V_x,V_A,T_a).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oanalz(V_H)| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 111.91/112.03 0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.91/112.03 0 [] c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_in(V_x,V_xa,T_a).
% 111.91/112.03 0 [] -hBOOL(hAPP(V_P,c_List_Ohd(c_List_OdropWhile(V_P,V_xs,T_a),T_a)))|c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a).
% 111.91/112.03 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)!=c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_a=V_b.
% 111.91/112.03 0 [] c_lesse_quals(c_List_Oset(c_List_Ofilter(V_P,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Ofilter(V_P,V_ys,T_a)|hBOOL(hAPP(V_P,V_x)).
% 111.91/112.03 0 [] c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 111.91/112.03 0 [] c_lesse_quals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a)=c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 111.91/112.03 0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_b=V_c.
% 111.91/112.03 0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_A=V_A_H.
% 111.91/112.03 0 [] c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 111.91/112.03 0 [] V_b=V_a| -c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 111.91/112.03 0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))!=hAPP(c_Public_OpublicKey(V_c),V_A_H).
% 111.91/112.03 0 [] c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,V_x)).
% 111.91/112.03 0 [] c_in(hAPP(V_f,V_x),V_B,T_a)| -c_in(V_x,V_A,T_b)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Message_OinvKey(hAPP(c_Public_OshrK,V_A))=hAPP(c_Public_OshrK,V_A).
% 111.91/112.03 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.91/112.03 0 [] c_Message_OinvKey(V_K)!=c_Message_OinvKey(V_K_H)|V_K=V_K_H.
% 111.91/112.03 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oimage(V_f,V_A,T_b,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,V_ys,T_a)!=c_List_Olist_OCons(V_x,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 111.91/112.03 0 [] c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|V_A=c_Message_Oagent_OSpy.
% 111.91/112.03 0 [] -c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_K,V_nE,tc_nat).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_K,V_nE,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_K,V_nE,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(V_K,V_nE,tc_nat)| -c_in(V_K,V_nE,tc_nat).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.91/112.03 0 [] c_List_OtakeWhile(V_P,V_xs,T_a)=c_List_Ofilter(V_P,V_xs,T_a)|c_in(c_List_Osko__List__XtakeWhile__e_q__filter__1__1(V_P,V_xs,T_a),c_List_Oset(c_List_OdropWhile(V_P,V_xs,T_a),T_a),T_a).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.03 0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat).
% 111.91/112.03 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.03 0 [] c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)|V_A=c_Message_Oagent_OSpy.
% 111.91/112.03 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,V_G,tc_Message_Omsg).
% 111.91/112.03 0 [] c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a)|c_in(c_List_Osko__List__XdropWhile__e_q__Nil__conv__1__1(V_P,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a)|c_in(c_List_Osko__List__Xfilter__empty__conv__1__1(V_P,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a)|c_in(c_List_Osko__List__Xfilter__False__1__1(V_P,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Ofilter(V_P,V_ys,T_a)| -hBOOL(hAPP(V_P,V_us))| -c_in(V_us,c_List_Oset(c_List_Osko__List__XCons__e_q__filter__iff__1__1(V_P,V_x,V_xs,V_ys,T_a),T_a),T_a).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,V_ys,T_a)!=c_List_Olist_OCons(V_x,V_xs,T_a)| -hBOOL(hAPP(V_P,V_us))| -c_in(V_us,c_List_Oset(c_List_Osko__List__Xfilter__e_q__Cons__iff__1__1(V_P,V_x,V_xs,V_ys,T_a),T_a),T_a).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,V_ys,T_a)!=c_List_Olist_OCons(V_x,V_xs,T_a)| -hBOOL(hAPP(V_P,V_us))| -c_in(V_us,c_List_Oset(c_List_Osko__List__Xfilter__e_q__ConsD__1__1(V_P,V_x,V_xs,V_ys,T_a),T_a),T_a).
% 111.91/112.03 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Ofilter(V_P,V_ys,T_a)| -hBOOL(hAPP(V_P,V_us))| -c_in(V_us,c_List_Oset(c_List_Osko__List__XCons__e_q__filterD__1__1(V_P,V_x,V_xs,V_ys,T_a),T_a),T_a).
% 111.91/112.03 0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| -c_in(V_x,V_A,T_a).
% 111.91/112.03 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] 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)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] 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)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 111.91/112.03 0 [] c_lesse_quals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(V_e,V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_OtakeWhile(V_P,V_xs,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 111.91/112.03 0 [] c_Message_Osynth(c_Message_Osynth(V_H))=c_Message_Osynth(V_H).
% 111.91/112.03 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a).
% 111.91/112.03 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 111.91/112.03 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 111.91/112.03 0 [] -c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a)=c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a).
% 111.91/112.03 0 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(V_H))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A_H,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] hAPP(c_Public_OshrK,V_x)!=hAPP(c_Public_OshrK,V_y)|V_x=V_y.
% 111.91/112.03 0 [] -c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a).
% 111.91/112.03 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a).
% 111.91/112.03 0 [] c_in(V_t,V_B,T_a)| -c_in(V_t,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a).
% 111.91/112.03 0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] -c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] -c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] c_in(V_a,V_A,T_a)|V_a=V_b| -c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a).
% 111.91/112.03 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 111.91/112.03 0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a).
% 111.91/112.03 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a).
% 111.91/112.03 0 [] -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 111.91/112.03 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|c_in(V_x,V_B,T_a)|c_in(V_x,V_A,T_a)|V_A=V_B.
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a).
% 111.91/112.03 0 [] -c_in(V_x,V_A,T_aa)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a).
% 111.91/112.03 0 [] -c_in(V_x,V_A,T_b)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 111.91/112.03 0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)| -c_in(V_x,V_A,T_b).
% 111.91/112.03 0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_x,V_A,T_a).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 111.91/112.03 0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 111.91/112.03 0 [] c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 111.91/112.03 0 [] c_List_OdropWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 111.91/112.03 0 [] c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 111.91/112.03 0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 111.91/112.03 0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 111.91/112.03 0 [] c_Map_Omap__upds(V_m,V_as,c_List_Olist_ONil(T_b),T_a,T_b)=V_m.
% 111.91/112.03 0 [] c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b)=V_m.
% 111.91/112.03 0 [] c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OMPair(V_X,V_Y))| -c_Message_Osynthp(V_H,V_Y)| -c_Message_Osynthp(V_H,V_X).
% 111.91/112.03 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.91/112.03 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.91/112.03 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.91/112.03 0 [] c_Message_Omsg_OAgent(V_agent)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 111.91/112.03 0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.91/112.03 0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 111.91/112.03 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONonce(V_nat_H).
% 111.91/112.03 0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 111.91/112.03 0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 111.91/112.03 0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OSpy.
% 111.91/112.03 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 111.91/112.03 0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat).
% 111.91/112.03 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.03 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evso).
% 111.91/112.03 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)| -c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.03 0 [] c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.03 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)|V_A=c_Message_Oagent_OServer| -c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.03 0 [] c_List_OtakeWhile(V_P,V_xs,T_a)!=V_xs|hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_List_Oset(c_List_Otake(V_n,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Set_Oinsert(V_x,V_A,T_a).
% 111.91/112.03 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 111.91/112.03 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Set_Oinsert(V_X,c_Message_Osynth(V_H),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_List_OdropWhile(V_P,V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)| -hBOOL(hAPP(V_P,V_y)).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] -c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 111.91/112.03 0 [] c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_lesse_quals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_lesse_quals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] hAPP(c_Public_OpublicKey(V_b),V_C)!=hAPP(c_Public_OshrK,V_A).
% 111.91/112.03 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 111.91/112.03 0 [] c_lesse_quals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_OdropWhile(V_P,V_xs,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 111.91/112.03 0 [] c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 111.91/112.03 0 [] c_Message_Oparts(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 111.91/112.03 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 111.91/112.03 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 111.91/112.03 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 111.91/112.03 0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OAgent(V_agt)).
% 111.91/112.03 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 111.91/112.03 0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_a=V_c.
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_a=V_c.
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_b=V_d.
% 111.91/112.03 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_b=V_d.
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oparts(V_H)| -c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)| -c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.03 0 [] c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 111.91/112.03 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 111.91/112.03 0 [] c_lesse_quals(c_List_Oset(V_xs,T_a),c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=V_x.
% 111.91/112.03 0 [] c_lesse_quals(c_List_Oset(c_List_Odrop(V_n,V_xs,T_a),T_a),c_List_Oset(V_xs,T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)=c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a).
% 111.91/112.03 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))=c_Message_Oanalz(V_G)| -c_lesse_quals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 111.91/112.03 0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a).
% 111.91/112.03 0 [] c_Message_OinvKey(c_Message_OinvKey(V_K))=V_K.
% 111.91/112.03 0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Public_OpublicKey(V_b),V_C).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))=c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_lesse_quals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent))| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf).
% 111.91/112.03 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 111.91/112.03 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 111.91/112.03 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 111.91/112.03 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 111.91/112.03 0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 111.91/112.03 0 [] c_List_Olist_OCons(V_a,V_list,T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a)|V_a=V_a_H.
% 111.91/112.03 0 [] c_List_Olist_OCons(V_a,V_list,T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a)|V_list=V_list_H.
% 111.91/112.03 0 [] c_Set_Oimage(V_f,V_A,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 111.91/112.03 0 [] c_Message_Osynthp(V_H,V_X)| -hBOOL(hAPP(V_H,V_X)).
% 111.91/112.03 0 [] c_lesse_quals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] hAPP(c_Public_OshrK,V_A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)).
% 111.91/112.03 0 [] c_Message_Oanalz(V_H)!=c_Message_Oanalz(V_H_H)|c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))=c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg)).
% 111.91/112.03 0 [] c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 111.91/112.03 0 [] c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.03 0 [] c_Message_Oanalz(c_Message_Oanalz(V_H))=c_Message_Oanalz(V_H).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Ofilter(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 111.91/112.03 0 [] c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_x.
% 111.91/112.03 0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 111.91/112.03 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_lesse_quals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 111.91/112.03 0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C))!=hAPP(c_Public_OshrK,V_A).
% 111.91/112.03 0 [] c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg).
% 111.91/112.03 0 [] c_lesse_quals(c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.03 0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OAgent(V_agent_H)|V_agent=V_agent_H.
% 111.91/112.03 0 [] hAPP(c_Public_OpublicKey(V_c),V_A_H)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)).
% 111.91/112.03 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 111.91/112.03 0 [] hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__propE__1__2(V_P,V_xs,T_a)))| -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] -hBOOL(hAPP(V_P,V_xa))| -c_in(V_xa,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(V_P,V_xs,T_a),T_a),T_a)| -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] c_List_Ofilter(V_P,V_xs,T_a)!=V_xs|hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] -c_in(V_x,c_List_Oset(c_List_Osko__List__Xsplit__list__last__1__2(V_x,V_xs,T_a),T_a),T_a)| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] c_in(V_x,c_List_Oset(V_xs,T_a),T_a)| -c_in(V_x,c_List_Oset(c_List_Otake(V_n,V_xs,T_a),T_a),T_a).
% 111.91/112.03 0 [] hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(V_P,V_xs,T_a)))| -hBOOL(hAPP(V_P,V_xc))| -c_in(V_xc,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] c_in(V_y,c_List_Oset(V_xs,T_a),T_a)|V_y=V_x| -c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a).
% 111.91/112.03 0 [] c_in(V_x,c_List_Oset(V_xs,T_a),T_a)| -c_in(V_x,c_List_Oset(c_List_Odrop(V_n,V_xs,T_a),T_a),T_a).
% 111.91/112.03 0 [] c_in(V_x,c_List_Oset(V_xs,T_a),T_a)| -c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a).
% 111.91/112.03 0 [] hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__1__2(V_P,V_xs,T_a)))| -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] hAPP(c_Map_Omap__upds(V_f,V_xs,V_ys,T_a,T_b),V_x)=hAPP(V_f,V_x)|c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a).
% 111.91/112.03 0 [] hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__prop__1__2(V_P,V_xs,T_a)))| -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.03 0 [] c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.03 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.04 0 [] c_List_Oset(V_xs,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_xs=c_List_Olist_ONil(T_a).
% 111.91/112.04 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_List_Oset(c_List_Olist_ONil(T_a),T_a).
% 111.91/112.04 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_List_Oset(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 111.91/112.04 0 [] c_List_Oset(c_List_Olist_ONil(T_a),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 111.91/112.04 0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.04 0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OCrypt(V_K,V_X))| -hBOOL(hAPP(V_H,hAPP(c_Message_Omsg_OKey,V_K)))| -c_Message_Osynthp(V_H,V_X).
% 111.91/112.04 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.04 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.04 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent))|c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1).
% 111.91/112.04 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)|V_A=c_Message_Oagent_OServer| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3).
% 111.91/112.04 0 [] c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.04 0 [] c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat).
% 111.91/112.04 0 [] c_Message_OinvKey(V_K)=V_K| -c_in(V_K,c_Message_OsymKeys,tc_nat).
% 111.91/112.04 0 [] c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)| -c_in(V_K,c_Message_OsymKeys,tc_nat).
% 111.91/112.04 0 [] c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat).
% 111.91/112.04 0 [] -c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat).
% 111.91/112.04 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_K,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)| -c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.04 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5).
% 111.91/112.04 0 [] c_lesse_quals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.04 0 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_KAB,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)| -c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.04 0 [] c_List_Ofilter(V_P,V_xs,T_a)!=c_List_Olist_ONil(T_a)| -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.04 0 [] c_in(c_List_Olast(V_as,T_a),c_List_Oset(V_as,T_a),T_a)|V_as=c_List_Olist_ONil(T_a).
% 111.91/112.04 0 [] c_List_OdropWhile(V_P,V_xs,T_a)!=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a).
% 111.91/112.04 0 [] c_in(c_List_Ohd(V_xs,T_a),c_List_Oset(V_xs,T_a),T_a)|V_xs=c_List_Olist_ONil(T_a).
% 111.91/112.04 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_K,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4).
% 111.91/112.04 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)| -c_in(V_x,V_A,tc_nat).
% 111.91/112.04 0 [] c_in(V_x,V_A,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.04 0 [] -c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.91/112.04 0 [] -c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(V_evs)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 111.91/112.04 0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_KAB,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2).
% 111.91/112.04 0 [] c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.04 0 [] c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.04 0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg).
% 111.91/112.04 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 111.91/112.04 0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONonce(V_nat).
% 111.91/112.04 0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)|V_agent1=V_agent1_H.
% 111.91/112.04 0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)|V_agent2=V_agent2_H.
% 111.91/112.04 0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)|V_msg=V_msg_H.
% 111.91/112.04 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 111.91/112.04 0 [] c_Message_Omsg_ONonce(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 111.91/112.04 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H)|V_nat=V_nat_H.
% 111.91/112.04 0 [] c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.04 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 111.91/112.04 0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.91/112.04 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_ONonce(V_nat_H)|V_nat=V_nat_H.
% 111.91/112.04 0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)).
% 111.91/112.04 0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a).
% 111.91/112.04 0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.91/112.04 0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_nat=V_nat_H.
% 111.91/112.04 0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_msg=V_msg_H.
% 111.91/112.04 0 [] -c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.91/112.04 0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg1=V_msg1_H.
% 111.91/112.04 0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg2=V_msg2_H.
% 111.91/112.04 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.91/112.04 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONonce(V_nat).
% 111.91/112.04 0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OMPair(V_msg1,V_msg2).
% 111.91/112.04 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 111.91/112.04 0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 111.91/112.04 0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 111.91/112.04 0 [] v_A!=c_Message_Oagent_OServer.
% 111.91/112.04 0 [] -c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.91/112.04 0 [] c_in(v_K,c_Message_OsymKeys,tc_nat).
% 111.91/112.04 0 [] -c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_N),c_Message_Omsg_ONonce(v_N)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.04 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 111.91/112.04 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 111.91/112.04 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 111.91/112.04 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 111.91/112.04 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 111.91/112.04 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 111.91/112.04 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 111.91/112.04 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 111.91/112.04 0 [] class_Orderings_Opreorder(tc_nat).
% 111.91/112.04 0 [] class_Orderings_Olinorder(tc_nat).
% 111.91/112.04 0 [] class_Lattices_Olattice(tc_nat).
% 111.91/112.04 0 [] class_Orderings_Oorder(tc_nat).
% 111.91/112.04 0 [] class_Orderings_Obot(tc_nat).
% 111.91/112.04 0 [] class_HOL_Oord(tc_nat).
% 111.91/112.04 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 111.91/112.04 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 111.91/112.04 0 [] class_Orderings_Opreorder(tc_bool).
% 111.91/112.04 0 [] class_Lattices_Olattice(tc_bool).
% 111.91/112.04 0 [] class_Orderings_Oorder(tc_bool).
% 111.91/112.04 0 [] class_Orderings_Obot(tc_bool).
% 111.91/112.04 0 [] class_HOL_Oord(tc_bool).
% 111.91/112.04 0 [] c_fe_qual(V_x,V_x,T_a).
% 111.91/112.04 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 111.91/112.04 end_of_list.
% 111.91/112.04
% 111.91/112.04 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 111.91/112.04
% 111.91/112.04 This ia a non-Horn set with equality. The strategy will be
% 111.91/112.04 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 111.91/112.04 deletion, with positive clauses in sos and nonpositive
% 111.91/112.04 clauses in usable.
% 111.91/112.04
% 111.91/112.04 dependent: set(knuth_bendix).
% 111.91/112.04 dependent: set(anl_eq).
% 111.91/112.04 dependent: set(para_from).
% 111.91/112.04 dependent: set(para_into).
% 111.91/112.04 dependent: clear(para_from_right).
% 111.91/112.04 dependent: clear(para_into_right).
% 111.91/112.04 dependent: set(para_from_vars).
% 111.91/112.04 dependent: set(eq_units_both_ways).
% 111.91/112.04 dependent: set(dynamic_demod_all).
% 111.91/112.04 dependent: set(dynamic_demod).
% 111.91/112.04 dependent: set(order_eq).
% 111.91/112.04 dependent: set(back_demod).
% 111.91/112.04 dependent: set(lrpo).
% 111.91/112.04 dependent: set(hyper_res).
% 111.91/112.04 dependent: set(unit_deletion).
% 111.91/112.04 dependent: set(factor).
% 111.91/112.04
% 111.91/112.04 ------------> process usable:
% 111.91/112.04 ** KEPT (pick-wt=10): 1 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|A=C.
% 111.91/112.04 ** KEPT (pick-wt=28): 2 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=5): 3 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 111.91/112.04 ** KEPT (pick-wt=7): 4 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 111.91/112.04 ** KEPT (pick-wt=12): 5 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 111.91/112.04 ** KEPT (pick-wt=12): 6 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 111.91/112.04 ** KEPT (pick-wt=12): 7 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 111.91/112.04 ** KEPT (pick-wt=14): 8 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=14): 9 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=14): 10 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=8): 11 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OHash(B)|A=B.
% 111.91/112.04 ** KEPT (pick-wt=28): 12 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=7): 13 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 111.91/112.04 ** KEPT (pick-wt=13): 14 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 111.91/112.04 ** KEPT (pick-wt=13): 15 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 111.91/112.04 ** KEPT (pick-wt=13): 16 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 111.91/112.04 ** KEPT (pick-wt=13): 17 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 111.91/112.04 Following clause subsumed by 14 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 111.91/112.04 Following clause subsumed by 15 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 111.91/112.04 ** KEPT (pick-wt=17): 18 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=17): 19 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=25): 20 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=19): 21 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 111.91/112.04 ** KEPT (pick-wt=19): 22 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 111.91/112.04 ** KEPT (pick-wt=20): 23 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 111.91/112.04 ** KEPT (pick-wt=8): 24 [] -c_in(A,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=20): 25 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(C),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=15): 26 [] c_in(A,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=16): 27 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=11): 28 [] c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=34): 29 [] c_lesse_quals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(B),c_Message_Oanalz(D),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=14): 30 [] c_List_OdropWhile(A,B,C)=c_List_Olist_ONil(C)| -hBOOL(hAPP(A,c_List_Osko__List__XdropWhile__e_q__Nil__conv__1__1(A,B,C))).
% 111.91/112.04 ** KEPT (pick-wt=15): 31 [] A=B| -c_in(hAPP(c_Public_OpublicKey(A),C),c_Set_Oimage(c_Public_OpublicKey(B),D,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.04 ** KEPT (pick-wt=42): 32 [] c_in(A,c_Event_OinitState(B),tc_Message_Omsg)|c_in(c_Event_Oevent_ONotes(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OSays(B,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(B,A,C),A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|B=c_Message_Oagent_OSpy| -c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=10): 33 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|B=D.
% 111.91/112.04 ** KEPT (pick-wt=7): 34 [] c_Message_Osynthp(A,c_Message_Omsg_OHash(B))| -c_Message_Osynthp(A,B).
% 111.91/112.04 ** KEPT (pick-wt=9): 35 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 111.91/112.04 ** KEPT (pick-wt=9): 36 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 111.91/112.04 ** KEPT (pick-wt=13): 37 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 111.91/112.04 ** KEPT (pick-wt=13): 38 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 111.91/112.04 ** KEPT (pick-wt=17): 39 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 111.91/112.04 ** KEPT (pick-wt=8): 40 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 111.91/112.04 ** KEPT (pick-wt=14): 41 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 111.91/112.04 ** KEPT (pick-wt=14): 42 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 111.91/112.04 ** KEPT (pick-wt=17): 43 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 111.91/112.04 ** KEPT (pick-wt=17): 44 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 111.91/112.04 ** KEPT (pick-wt=17): 45 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 111.91/112.04 ** KEPT (pick-wt=17): 46 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 111.91/112.04 ** KEPT (pick-wt=25): 47 [] c_Message_Oanalz(A)!=c_Message_Oanalz(B)|c_Message_Oanalz(C)!=c_Message_Oanalz(D)|c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(tc_Message_Omsg,tc_bool))).
% 111.91/112.04 ** KEPT (pick-wt=23): 48 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 111.91/112.04 Following clause subsumed by 48 during input processing: 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=17): 49 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 111.91/112.04 ** KEPT (pick-wt=9): 50 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 111.91/112.04 ** KEPT (pick-wt=9): 51 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 111.91/112.04 Following clause subsumed by 49 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 111.91/112.04 Following clause subsumed by 49 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 111.91/112.04 ** KEPT (pick-wt=9): 52 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 111.91/112.04 ** KEPT (pick-wt=9): 53 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 111.91/112.04 ** KEPT (pick-wt=19): 54 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=17): 55 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=17): 56 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=13): 57 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 111.91/112.04 ** KEPT (pick-wt=13): 58 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 111.91/112.04 ** KEPT (pick-wt=11): 59 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 111.91/112.04 ** KEPT (pick-wt=11): 60 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 111.91/112.04 ** KEPT (pick-wt=14): 61 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 111.91/112.04 ** KEPT (pick-wt=14): 62 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 111.91/112.04 ** KEPT (pick-wt=5): 63 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 111.91/112.04 ** KEPT (pick-wt=22): 64 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=22): 65 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=13): 66 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,B,D).
% 111.91/112.04 ** KEPT (pick-wt=13): 67 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D).
% 111.91/112.04 ** KEPT (pick-wt=17): 68 [] c_in(A,B,C)|c_in(A,D,C)| -c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C).
% 111.91/112.04 ** KEPT (pick-wt=13): 69 [] -c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C).
% 111.91/112.04 ** KEPT (pick-wt=13): 70 [] c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C).
% 111.91/112.04 ** KEPT (pick-wt=17): 71 [] c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D).
% 111.91/112.04 Following clause subsumed by 71 during input processing: 0 [] c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D).
% 111.91/112.04 ** KEPT (pick-wt=6): 72 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 111.91/112.04 ** KEPT (pick-wt=6): 73 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 111.91/112.04 ** KEPT (pick-wt=6): 74 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.91/112.04 ** KEPT (pick-wt=6): 75 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 111.91/112.04 ** KEPT (pick-wt=6): 76 [] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.91/112.04 ** KEPT (pick-wt=6): 77 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 111.91/112.04 ** KEPT (pick-wt=5): 78 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 111.91/112.04 ** KEPT (pick-wt=5): 79 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 111.91/112.04 ** KEPT (pick-wt=8): 80 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 111.91/112.04 ** KEPT (pick-wt=8): 81 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 111.91/112.04 ** KEPT (pick-wt=29): 82 [] 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,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=21): 83 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -c_in(A,B,C).
% 111.91/112.04 ** KEPT (pick-wt=32): 84 [] 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_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=8): 85 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=23): 86 [] c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(D,c_Message_Oparts(C),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Set_Oinsert(D,B,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=7): 87 [] -c_in(c_Message_Omsg_ONonce(A),c_Message_Oparts(c_Event_OinitState(B)),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=27): 88 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=11): 89 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=9): 90 [] -c_in(c_Message_Omsg_OHash(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=13): 91 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OpublicKey(C),D,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.04 ** KEPT (pick-wt=11): 92 [] -c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.04 ** KEPT (pick-wt=11): 93 [] -c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.04 ** KEPT (pick-wt=9): 94 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),A))!=hAPP(c_Public_OshrK,B).
% 111.91/112.04 ** KEPT (pick-wt=19): 95 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 111.91/112.04 ** KEPT (pick-wt=19): 96 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 111.91/112.04 Following clause subsumed by 95 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 111.91/112.04 ** KEPT (pick-wt=20): 97 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -c_in(B,C,D).
% 111.91/112.04 ** KEPT (pick-wt=13): 98 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=11): 99 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 111.91/112.04 ** KEPT (pick-wt=13): 100 [] c_in(A,B,C)| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=13): 101 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,B,C).
% 111.91/112.04 ** KEPT (pick-wt=16): 102 [] -hBOOL(hAPP(A,c_List_Ohd(c_List_OdropWhile(A,B,C),C)))|c_List_OdropWhile(A,B,C)=c_List_Olist_ONil(C).
% 111.91/112.04 ** KEPT (pick-wt=18): 103 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C.
% 111.91/112.04 ** KEPT (pick-wt=13): 104 [] c_List_Olist_OCons(A,B,C)!=c_List_Ofilter(D,E,C)|hBOOL(hAPP(D,A)).
% 111.91/112.04 ** KEPT (pick-wt=15): 105 [] c_lesse_quals(A,c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Osynth(A),c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=15): 106 [] c_lesse_quals(c_Message_Osynth(A),c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=12): 107 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|A=C.
% 111.91/112.04 ** KEPT (pick-wt=12): 108 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|B=D.
% 111.91/112.04 ** KEPT (pick-wt=19): 110 [copy,109,flip.1] c_List_Olist_OCons(A,c_List_Ofilter(B,C,D),D)=c_List_Ofilter(B,c_List_Olist_OCons(A,C,D),D)| -hBOOL(hAPP(B,A)).
% 111.91/112.04 ** KEPT (pick-wt=13): 111 [] A=B| -c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 111.91/112.04 ** KEPT (pick-wt=10): 112 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 111.91/112.04 ** KEPT (pick-wt=20): 113 [] c_in(hAPP(A,B),C,D)| -c_in(B,E,F)| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=14): 114 [] c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=15): 115 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=15): 116 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=8): 117 [] c_Message_OinvKey(A)!=c_Message_OinvKey(B)|A=B.
% 111.91/112.04 ** KEPT (pick-wt=16): 118 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oimage(B,C,D,A)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=13): 119 [] c_List_Ofilter(A,B,C)!=c_List_Olist_OCons(D,E,C)|hBOOL(hAPP(A,D)).
% 111.91/112.04 ** KEPT (pick-wt=18): 120 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(C,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=14): 121 [] c_lesse_quals(c_Message_Osynth(A),c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.04 ** KEPT (pick-wt=18): 122 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(C,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=7): 123 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 111.91/112.04 ** KEPT (pick-wt=34): 124 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oparts(B),tc_Message_Omsg)|c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)| -c_in(D,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(D,C,tc_Message_Omsg))),tc_nat).
% 111.91/112.04 ** KEPT (pick-wt=24): 125 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=17): 126 [] c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)| -c_in(c_Event_Oevent_OGets(B,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)|B=c_Message_Oagent_OSpy.
% 111.91/112.04 ** 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).
% 111.91/112.04 Following clause subsumed by 26 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 111.91/112.04 Following clause subsumed by 26 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,B,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.04 ** KEPT (pick-wt=20): 129 [copy,128,factor_simp] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 111.91/112.04 Following clause subsumed by 129 during input processing: 0 [factor_simp] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 111.91/112.05 ** KEPT (pick-wt=19): 130 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Event_Oused(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=29): 131 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=26): 132 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(B)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)| -c_in(C,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=8): 133 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),A)),c_Message_OsymKeys,tc_nat).
% 111.91/112.05 ** KEPT (pick-wt=12): 134 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat).
% 111.91/112.05 Following clause subsumed by 26 during input processing: 0 [factor_simp] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.05 Following clause subsumed by 26 during input processing: 0 [factor_simp] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=21): 135 [] c_lesse_quals(c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(C),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,C,tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=23): 136 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=23): 137 [] c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(A,B)),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=24): 138 [] c_List_Olist_OCons(A,B,C)!=c_List_Ofilter(D,E,C)| -hBOOL(hAPP(D,F))| -c_in(F,c_List_Oset(c_List_Osko__List__XCons__e_q__filter__iff__1__1(D,A,B,E,C),C),C).
% 111.91/112.05 ** KEPT (pick-wt=24): 139 [] c_List_Ofilter(A,B,C)!=c_List_Olist_OCons(D,E,C)| -hBOOL(hAPP(A,F))| -c_in(F,c_List_Oset(c_List_Osko__List__Xfilter__e_q__Cons__iff__1__1(A,D,E,B,C),C),C).
% 111.91/112.05 ** KEPT (pick-wt=24): 140 [] c_List_Ofilter(A,B,C)!=c_List_Olist_OCons(D,E,C)| -hBOOL(hAPP(A,F))| -c_in(F,c_List_Oset(c_List_Osko__List__Xfilter__e_q__ConsD__1__1(A,D,E,B,C),C),C).
% 111.91/112.05 ** KEPT (pick-wt=24): 141 [] c_List_Olist_OCons(A,B,C)!=c_List_Ofilter(D,E,C)| -hBOOL(hAPP(D,F))| -c_in(F,c_List_Oset(c_List_Osko__List__XCons__e_q__filterD__1__1(D,A,B,E,C),C),C).
% 111.91/112.05 ** KEPT (pick-wt=20): 142 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)| -c_in(E,D,C).
% 111.91/112.05 ** KEPT (pick-wt=30): 143 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_in(B,A,C)| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=30): 144 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 111.91/112.05 Following clause subsumed by 144 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 111.91/112.05 Following clause subsumed by 96 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|c_in(D,A,C).
% 111.91/112.05 ** KEPT (pick-wt=15): 145 [] c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=15): 146 [] c_lesse_quals(A,c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=29): 147 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)| -c_lesse_quals(D,C,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=29): 148 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)),tc_Message_Omsg)| -c_lesse_quals(D,B,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(C,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=19): 149 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_OtakeWhile(A,C,D),D)| -hBOOL(hAPP(A,B)).
% 111.91/112.05 ** KEPT (pick-wt=6): 150 [] c_List_Olist_OCons(A,B,C)!=B.
% 111.91/112.05 Following clause subsumed by 150 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 111.91/112.05 ** KEPT (pick-wt=20): 151 [] -c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,E),B,tc_Event_Oevent))),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=13): 152 [] c_in(A,c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=16): 153 [] c_lesse_quals(c_Message_Osynth(c_Message_Oanalz(A)),c_Message_Osynth(c_Message_Oanalz(B)),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=16): 154 [] c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(B))| -c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=10): 155 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OshrK,B)|A=B.
% 111.91/112.05 ** KEPT (pick-wt=10): 156 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.05 Following clause subsumed by 156 during input processing: 0 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.05 Following clause subsumed by 156 during input processing: 0 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=16): 157 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 111.91/112.05 ** KEPT (pick-wt=29): 158 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=29): 159 [] c_lesse_quals(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=11): 160 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 111.91/112.05 Following clause subsumed by 160 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 111.91/112.05 ** KEPT (pick-wt=14): 161 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 111.91/112.05 Following clause subsumed by 161 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 111.91/112.05 Following clause subsumed by 161 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 111.91/112.05 Following clause subsumed by 161 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=7): 162 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 111.91/112.05 Following clause subsumed by 162 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 111.91/112.05 Following clause subsumed by 162 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 111.91/112.05 Following clause subsumed by 162 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 111.91/112.05 ** KEPT (pick-wt=14): 163 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C).
% 111.91/112.05 Following clause subsumed by 162 during input processing: 0 [] -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 111.91/112.05 ** KEPT (pick-wt=20): 164 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D.
% 111.91/112.05 ** KEPT (pick-wt=10): 165 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C).
% 111.91/112.05 ** KEPT (pick-wt=14): 166 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 111.91/112.05 Following clause subsumed by 166 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 111.91/112.05 Following clause subsumed by 166 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 111.91/112.05 Following clause subsumed by 166 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 111.91/112.05 ** KEPT (pick-wt=9): 167 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=9): 168 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=11): 169 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Message_Oparts(B)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=11): 170 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=9): 171 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=11): 172 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Message_Osynth(B)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=7): 173 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 111.91/112.05 ** KEPT (pick-wt=7): 174 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 111.91/112.05 Following clause subsumed by 174 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 111.91/112.05 ** KEPT (pick-wt=14): 175 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=14): 176 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=20): 177 [] c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=11): 178 [] c_Message_Osynthp(A,c_Message_Omsg_OMPair(B,C))| -c_Message_Osynthp(A,C)| -c_Message_Osynthp(A,B).
% 111.91/112.05 ** KEPT (pick-wt=6): 179 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 111.91/112.05 ** KEPT (pick-wt=6): 180 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 111.91/112.05 ** KEPT (pick-wt=26): 181 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=29): 182 [] c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=29): 183 [] c_in(A,c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(c_Message_Oanalz(B)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(C)),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=6): 184 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.91/112.05 ** KEPT (pick-wt=6): 185 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 111.91/112.05 ** KEPT (pick-wt=6): 186 [] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.91/112.05 ** KEPT (pick-wt=6): 187 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 111.91/112.05 ** KEPT (pick-wt=5): 188 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 111.91/112.05 ** KEPT (pick-wt=5): 189 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 111.91/112.05 ** KEPT (pick-wt=8): 190 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 111.91/112.05 ** KEPT (pick-wt=8): 191 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 111.91/112.05 ** KEPT (pick-wt=3): 193 [copy,192,flip.1] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 111.91/112.05 Following clause subsumed by 193 during input processing: 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 111.91/112.05 ** KEPT (pick-wt=8): 194 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Message_OsymKeys,tc_nat).
% 111.91/112.05 ** KEPT (pick-wt=58): 195 [] c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),hAPP(c_Message_Omsg_OKey,C)))),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.05 ** KEPT (pick-wt=52): 196 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),hAPP(c_Message_Omsg_OKey,C)))),D,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,E,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),G))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(F,E,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(B))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_NS__Shared__Mirabelle_Ons__sharedp(D).
% 111.91/112.05 ** KEPT (pick-wt=16): 197 [] c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.05 ** KEPT (pick-wt=16): 198 [] c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.05 ** KEPT (pick-wt=20): 199 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(C)),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=23): 200 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,C)),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=12): 201 [] c_in(c_Message_OinvKey(A),c_Message_OkeysFor(B),tc_nat)| -c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=29): 202 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(C)))),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg)| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.05 ** 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).
% 111.91/112.05 ** KEPT (pick-wt=58): 204 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(E)))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),C))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)|A=c_Message_Oagent_OServer| -c_in(D,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.05 ** KEPT (pick-wt=16): 205 [] c_List_OtakeWhile(A,B,C)!=B|hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 111.91/112.05 ** KEPT (pick-wt=9): 206 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=14): 207 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 111.91/112.05 ** KEPT (pick-wt=13): 208 [] c_List_OdropWhile(A,B,C)!=c_List_Olist_OCons(D,E,C)| -hBOOL(hAPP(A,D)).
% 111.91/112.05 ** KEPT (pick-wt=19): 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_ONotes(C,D),B,tc_Event_Oevent))),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=17): 210 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_lesse_quals(C,c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=17): 211 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_lesse_quals(C,c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=8): 212 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 111.91/112.05 ** KEPT (pick-wt=7): 213 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 111.91/112.05 ** KEPT (pick-wt=15): 214 [] c_lesse_quals(A,c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=15): 215 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=16): 216 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_OdropWhile(A,C,D)| -hBOOL(hAPP(A,B)).
% 111.91/112.05 ** KEPT (pick-wt=15): 217 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 111.91/112.05 Following clause subsumed by 217 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=13): 218 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 111.91/112.05 Following clause subsumed by 218 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 111.91/112.05 Following clause subsumed by 218 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 111.91/112.05 ** KEPT (pick-wt=12): 219 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=10): 220 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|B=D.
% 111.91/112.05 ** KEPT (pick-wt=10): 221 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|A=C.
% 111.91/112.05 ** KEPT (pick-wt=27): 222 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D.
% 111.91/112.05 ** KEPT (pick-wt=27): 223 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D.
% 111.91/112.05 ** KEPT (pick-wt=27): 224 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E.
% 111.91/112.05 ** KEPT (pick-wt=27): 225 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E.
% 111.91/112.05 ** KEPT (pick-wt=13): 226 [] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oparts(B)| -c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=24): 227 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg)| -c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.05 ** KEPT (pick-wt=15): 228 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=9): 229 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 111.91/112.05 ** KEPT (pick-wt=19): 230 [] c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Message_Oanalz(B)| -c_lesse_quals(C,B,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=19): 231 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 111.91/112.05 ** KEPT (pick-wt=8): 232 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 111.91/112.05 ** KEPT (pick-wt=17): 233 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_lesse_quals(C,c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_in(A,c_Message_Osynth(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=18): 234 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,A,B),C,tc_Event_Oevent))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C))),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(C).
% 111.91/112.05 ** KEPT (pick-wt=14): 235 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 111.91/112.05 ** KEPT (pick-wt=14): 236 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 111.91/112.05 ** KEPT (pick-wt=18): 237 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=14): 238 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=6): 239 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 111.91/112.05 ** KEPT (pick-wt=6): 240 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 111.91/112.05 Following clause subsumed by 238 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 111.91/112.05 ** KEPT (pick-wt=12): 241 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 111.91/112.05 ** KEPT (pick-wt=12): 242 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 111.91/112.05 ** KEPT (pick-wt=16): 243 [] c_Set_Oimage(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=7): 244 [] c_Message_Osynthp(A,B)| -hBOOL(hAPP(A,B)).
% 111.91/112.05 ** KEPT (pick-wt=14): 245 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool))| -c_lesse_quals(A,B,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=9): 246 [] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 111.91/112.05 ** KEPT (pick-wt=16): 247 [] c_Message_Oanalz(A)!=c_Message_Oanalz(B)|c_Message_Oanalz(c_Set_Oinsert(C,A,tc_Message_Omsg))=c_Message_Oanalz(c_Set_Oinsert(C,B,tc_Message_Omsg)).
% 111.91/112.05 ** KEPT (pick-wt=27): 248 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=20): 249 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 111.91/112.05 Following clause subsumed by 249 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=18): 250 [] c_lesse_quals(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool)).
% 111.91/112.05 ** KEPT (pick-wt=9): 251 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 111.91/112.05 ** KEPT (pick-wt=13): 252 [] c_in(A,c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=8): 253 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OAgent(B)|A=B.
% 111.91/112.05 ** KEPT (pick-wt=10): 254 [] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 111.91/112.05 ** KEPT (pick-wt=10): 255 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 111.91/112.05 ** KEPT (pick-wt=17): 256 [] hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__propE__1__2(A,B,C)))| -hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 111.91/112.05 ** KEPT (pick-wt=23): 257 [] -hBOOL(hAPP(A,B))| -c_in(B,c_List_Oset(c_List_Osko__List__Xsplit__list__first__propE__1__1(A,C,D),D),D)| -hBOOL(hAPP(A,E))| -c_in(E,c_List_Oset(C,D),D).
% 111.91/112.05 ** KEPT (pick-wt=16): 258 [] c_List_Ofilter(A,B,C)!=B|hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 111.91/112.05 ** KEPT (pick-wt=15): 259 [] -c_in(A,c_List_Oset(c_List_Osko__List__Xsplit__list__last__1__2(A,B,C),C),C)| -c_in(A,c_List_Oset(B,C),C).
% 111.91/112.05 ** KEPT (pick-wt=15): 260 [] c_in(A,c_List_Oset(B,C),C)| -c_in(A,c_List_Oset(c_List_Otake(D,B,C),C),C).
% 111.91/112.05 ** KEPT (pick-wt=17): 261 [] hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__first__prop__iff__1__2(A,B,C)))| -hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 111.91/112.05 ** KEPT (pick-wt=18): 262 [] c_in(A,c_List_Oset(B,C),C)|A=D| -c_in(A,c_List_Oset(c_List_Olist_OCons(D,B,C),C),C).
% 111.91/112.05 ** KEPT (pick-wt=15): 263 [] c_in(A,c_List_Oset(B,C),C)| -c_in(A,c_List_Oset(c_List_Odrop(D,B,C),C),C).
% 111.91/112.05 ** KEPT (pick-wt=15): 264 [] c_in(A,c_List_Oset(B,C),C)| -c_in(A,c_List_Oset(c_List_OtakeWhile(D,B,C),C),C).
% 111.91/112.05 ** KEPT (pick-wt=17): 265 [] hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__last__prop__1__2(A,B,C)))| -hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 111.91/112.05 ** KEPT (pick-wt=13): 266 [] hBOOL(hAPP(A,B))| -c_in(B,c_List_Oset(c_List_OtakeWhile(A,C,D),D),D).
% 111.91/112.05 ** KEPT (pick-wt=17): 267 [] hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__prop__1__2(A,B,C)))| -hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 111.91/112.05 ** KEPT (pick-wt=12): 268 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=12): 269 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=12): 270 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=12): 271 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=17): 272 [] c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(C),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(C),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=18): 273 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(C,A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=18): 274 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(A,C),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=61): 275 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(D),c_Message_Omsg_ONonce(D)))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),H))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(C,c_Message_OsymKeys,tc_nat)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.05 ** KEPT (pick-wt=12): 276 [] c_List_Oset(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_List_Olist_ONil(B).
% 111.91/112.05 ** KEPT (pick-wt=12): 277 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_List_Oset(B,A)|B=c_List_Olist_ONil(A).
% 111.91/112.05 ** KEPT (pick-wt=12): 278 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=18): 279 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(C,A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.05 Following clause subsumed by 171 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=13): 280 [] c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=14): 281 [] c_Message_Osynthp(A,c_Message_Omsg_OCrypt(B,C))| -hBOOL(hAPP(A,hAPP(c_Message_Omsg_OKey,B)))| -c_Message_Osynthp(A,C).
% 111.91/112.05 Following clause subsumed by 171 during input processing: 0 [] c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=11): 282 [] c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.05 Following clause subsumed by 282 during input processing: 0 [] c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.05 ** KEPT (pick-wt=23): 283 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(C)))),D,tc_Event_Oevent))|c_in(c_Message_Omsg_ONonce(C),c_Event_Oused(D),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(D).
% 111.91/112.05 ** KEPT (pick-wt=52): 284 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_ONonce(E)))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,G),C))))),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)|A=c_Message_Oagent_OServer| -c_NS__Shared__Mirabelle_Ons__sharedp(D).
% 111.91/112.05 ** KEPT (pick-wt=15): 285 [] c_in(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.05 ** KEPT (pick-wt=8): 286 [] c_Message_OinvKey(A)=A| -c_in(A,c_Message_OsymKeys,tc_nat).
% 111.91/112.05 ** KEPT (pick-wt=9): 287 [] c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat)| -c_in(A,c_Message_OsymKeys,tc_nat).
% 111.91/112.06 ** KEPT (pick-wt=9): 288 [] c_in(A,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat).
% 111.91/112.06 ** KEPT (pick-wt=7): 289 [] -c_in(hAPP(c_Public_OpublicKey(A),B),c_Message_OsymKeys,tc_nat).
% 111.91/112.06 ** KEPT (pick-wt=47): 290 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(C,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.06 ** KEPT (pick-wt=55): 291 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(D),c_Message_Omsg_ONonce(D)))),E,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(G),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),H))))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(I,A,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(C,c_Message_OsymKeys,tc_nat)| -c_NS__Shared__Mirabelle_Ons__sharedp(E).
% 111.91/112.06 ** KEPT (pick-wt=66): 292 [] c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(A)))))))),E,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_ONonce(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(D,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg)| -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.06 ** KEPT (pick-wt=17): 293 [] c_List_Ofilter(A,B,C)!=c_List_Olist_ONil(C)| -hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 111.91/112.06 ** KEPT (pick-wt=17): 294 [] c_List_OdropWhile(A,B,C)!=c_List_Olist_ONil(C)|hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 111.91/112.06 ** KEPT (pick-wt=41): 295 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),E,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),c_Message_Omsg_OAgent(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(C,c_Message_OsymKeys,tc_nat)|c_in(c_Message_Omsg_ONonce(D),c_Event_Oused(E),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(E).
% 111.91/112.06 ** KEPT (pick-wt=10): 296 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Set_Oimage(c_Message_Omsg_OKey,C,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.06 Following clause subsumed by 171 during input processing: 0 [] c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=19): 297 [] c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg).
% 111.91/112.06 Following clause subsumed by 297 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,C),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=18): 298 [] c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg)| -c_in(B,c_Message_Osynth(C),tc_Message_Omsg).
% 111.91/112.06 Following clause subsumed by 166 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 111.91/112.06 ** KEPT (pick-wt=14): 299 [] c_in(A,B,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=9): 300 [] -c_in(c_Message_Omsg_ONonce(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=7): 301 [] -c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(A)),c_Event_Oused(A),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=60): 302 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),c_Message_Omsg_OAgent(A)))))))),E,tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(F,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_ONonce(B)))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)| -c_in(D,c_Message_OsymKeys,tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,D),c_Event_Oused(E),tc_Message_Omsg)| -c_NS__Shared__Mirabelle_Ons__sharedp(E).
% 111.91/112.06 ** KEPT (pick-wt=15): 303 [] c_in(A,c_Message_OkeysFor(B),tc_nat)| -c_in(A,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=15): 304 [] c_in(A,c_Event_Oknows(B,C),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(B,D,A),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.06 ** KEPT (pick-wt=13): 305 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Event_Oevent_ONotes(C,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.06 ** KEPT (pick-wt=23): 306 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(C,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=12): 307 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(C,A),c_Event_Oused(B),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=12): 308 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_OMPair(A,C),c_Event_Oused(B),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=6): 309 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 111.91/112.06 ** KEPT (pick-wt=6): 310 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 111.91/112.06 ** KEPT (pick-wt=12): 311 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|A=D.
% 111.91/112.06 ** KEPT (pick-wt=12): 312 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|B=E.
% 111.91/112.06 ** KEPT (pick-wt=12): 313 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|C=F.
% 111.91/112.06 ** KEPT (pick-wt=7): 314 [] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 111.91/112.06 ** KEPT (pick-wt=6): 315 [] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.91/112.06 ** KEPT (pick-wt=10): 316 [] hAPP(c_Message_Omsg_OKey,A)!=hAPP(c_Message_Omsg_OKey,B)|A=B.
% 111.91/112.06 ** KEPT (pick-wt=14): 317 [] c_in(A,c_Event_Oused(B),tc_Message_Omsg)| -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.06 ** KEPT (pick-wt=6): 318 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 111.91/112.06 ** KEPT (pick-wt=7): 319 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 111.91/112.06 ** KEPT (pick-wt=8): 320 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONonce(B)|A=B.
% 111.91/112.06 ** KEPT (pick-wt=8): 321 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)).
% 111.91/112.06 ** KEPT (pick-wt=8): 322 [] hBOOL(hAPP(A,B))| -c_in(B,A,C).
% 111.91/112.06 ** KEPT (pick-wt=6): 323 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.91/112.06 ** KEPT (pick-wt=10): 324 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|A=C.
% 111.91/112.06 ** KEPT (pick-wt=10): 325 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|B=D.
% 111.91/112.06 ** KEPT (pick-wt=7): 326 [] -c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=10): 327 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|A=C.
% 111.91/112.06 ** KEPT (pick-wt=10): 328 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|B=D.
% 111.91/112.06 ** KEPT (pick-wt=8): 329 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=6): 330 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 111.91/112.06 ** KEPT (pick-wt=7): 331 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 111.91/112.06 ** KEPT (pick-wt=7): 332 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 111.91/112.06 ** KEPT (pick-wt=7): 333 [] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 111.91/112.06 ** KEPT (pick-wt=7): 334 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 111.91/112.06 ** KEPT (pick-wt=3): 335 [] v_A!=c_Message_Oagent_OServer.
% 111.91/112.06 ** KEPT (pick-wt=8): 336 [] -c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=15): 337 [] -c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_N),c_Message_Omsg_ONonce(v_N)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 111.91/112.06 ** KEPT (pick-wt=6): 338 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 111.91/112.06 ** KEPT (pick-wt=6): 339 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 111.91/112.06 ** KEPT (pick-wt=6): 340 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 111.91/112.06 ** KEPT (pick-wt=6): 341 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 111.91/112.06 ** KEPT (pick-wt=6): 342 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 111.91/112.06 ** KEPT (pick-wt=6): 343 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 111.91/112.06 ** KEPT (pick-wt=6): 344 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 111.91/112.06 ** KEPT (pick-wt=7): 345 [] A=B| -c_fe_qual(A,B,C).
% 111.91/112.06 Following clause subsumed by 63 during input processing: 0 [copy,3,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 111.91/112.06 Following clause subsumed by 13 during input processing: 0 [copy,4,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 111.91/112.06 Following clause subsumed by 4 during input processing: 0 [copy,13,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 111.91/112.06 Following clause subsumed by 3 during input processing: 0 [copy,63,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 111.91/112.06 Following clause subsumed by 73 during input processing: 0 [copy,72,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 111.91/112.06 Following clause subsumed by 72 during input processing: 0 [copy,73,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 111.91/112.06 Following clause subsumed by 75 during input processing: 0 [copy,74,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 111.91/112.06 Following clause subsumed by 74 during input processing: 0 [copy,75,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.91/112.06 Following clause subsumed by 77 during input processing: 0 [copy,76,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 111.91/112.06 Following clause subsumed by 76 during input processing: 0 [copy,77,flip.1] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.91/112.06 Following clause subsumed by 79 during input processing: 0 [copy,78,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 111.91/112.06 Following clause subsumed by 78 during input processing: 0 [copy,79,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 111.91/112.06 Following clause subsumed by 81 during input processing: 0 [copy,80,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 111.91/112.06 Following clause subsumed by 80 during input processing: 0 [copy,81,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 111.91/112.06 Following clause subsumed by 246 during input processing: 0 [copy,94,flip.1] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),B)).
% 111.91/112.06 Following clause subsumed by 254 during input processing: 0 [copy,112,flip.1] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 111.91/112.06 116 back subsumes 95.
% 111.91/112.06 116 back subsumes 84.
% 111.91/112.06 152 back subsumes 147.
% 111.91/112.06 171 back subsumes 137.
% 111.91/112.06 Following clause subsumed by 174 during input processing: 0 [copy,173,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 111.91/112.06 Following clause subsumed by 173 during input processing: 0 [copy,174,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 111.91/112.06 Following clause subsumed by 180 during input processing: 0 [copy,179,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 111.91/112.06 Following clause subsumed by 179 during input processing: 0 [copy,180,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 111.91/112.06 Following clause subsumed by 185 during input processing: 0 [copy,184,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 111.91/112.06 Following clause subsumed by 184 during input processing: 0 [copy,185,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.91/112.06 Following clause subsumed by 187 during input processing: 0 [copy,186,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 111.91/112.06 Following clause subsumed by 186 during input processing: 0 [copy,187,flip.1] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.91/112.06 Following clause subsumed by 189 during input processing: 0 [copy,188,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 111.91/112.06 Following clause subsumed by 188 during input processing: 0 [copy,189,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 111.91/112.06 Following clause subsumed by 191 during input processing: 0 [copy,190,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 111.91/112.06 Following clause subsumed by 190 during input processing: 0 [copy,191,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 111.91/112.06 194 back subsumes 133.
% 111.91/112.06 Following clause subsumed by 229 during input processing: 0 [copy,206,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 111.91/112.06 206 back subsumes 101.
% 111.91/112.06 Following clause subsumed by 232 during input processing: 0 [copy,212,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 111.91/112.06 Following clause subsumed by 206 during input processing: 0 [copy,229,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 111.91/112.06 Following clause subsumed by 212 during input processing: 0 [copy,232,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 111.91/112.06 Following clause subsumed by 251 during input processing: 0 [copy,246,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 111.91/112.06 Following clause subsumed by 246 during input processing: 0 [copy,251,flip.1] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 111.91/112.06 251 back subsumes 94.
% 111.91/112.06 Following clause subsumed by 112 during input processing: 0 [copy,254,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 111.91/112.06 272 back subsumes 177.
% 111.91/112.06 298 back subsumes 182.
% 111.91/112.06 Following clause subsumed by 323 during input processing: 0 [copy,309,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 111.91/112.06 Following clause subsumed by 315 during input processing: 0 [copy,310,flip.1] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 111.91/112.06 Following clause subsumed by 334 during input processing: 0 [copy,314,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 111.91/112.06 Following clause subsumed by 310 during input processing: 0 [copy,315,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 111.91/112.06 Following clause subsumed by 330 during input processing: 0 [copy,318,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 111.91/112.06 Following clause subsumed by 331 during input processing: 0 [copy,319,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 111.91/112.06 Following clause subsumed by 309 during input processing: 0 [copy,323,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 111.91/112.06 Following clause subsumed by 318 during input processing: 0 [copy,330,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 111.91/112.06 Following clause subsumed by 319 during input processing: 0 [copy,331,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 111.91/112.06 Following clause subsumed by 333 during input processing: 0 [copy,332,flip.1] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 111.91/112.06 Following clause subsumed by 332 during input processing: 0 [copy,333,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 111.91/112.06 Following clause subsumed by 314 during input processing: 0 [copy,334,flip.1] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 111.91/112.06 368 back subsumes 358.
% 111.91/112.06
% 111.91/112.06 ------------> process sos:
% 111.91/112.06 ** KEPT (pick-wt=3): 369 [] A=A.
% 111.91/112.06 ** KEPT (pick-wt=25): 370 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 111.91/112.06 ** KEPT (pick-wt=10): 371 [] c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 372 [new_demod,371] c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=20): 373 [] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=17): 374 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 375 [new_demod,374] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=25): 376 [] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 111.91/112.06 Following clause subsumed by 373 during input processing: 0 [] c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(B,C),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(B,C)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=29): 377 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),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_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(A,B,tc_nat),tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 378 [new_demod,377] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),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_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(A,B,tc_nat),tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=23): 380 [copy,379,flip.1] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))|c_in(A,C,D).
% 111.91/112.06 ** KEPT (pick-wt=17): 381 [] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=20): 382 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 111.91/112.06 ---> New Demodulator: 383 [new_demod,382] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 111.91/112.06 ** KEPT (pick-wt=27): 384 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=27): 385 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=16): 386 [] c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=28): 387 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=13): 388 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.06 ---> New Demodulator: 389 [new_demod,388] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=12): 390 [] c_Message_Oparts(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 391 [new_demod,390] c_Message_Oparts(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=21): 392 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OHash(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=14): 393 [] c_List_Ofilter(A,B,C)=c_List_Olist_ONil(C)|hBOOL(hAPP(A,c_List_Osko__List__Xfilter__False__1__1(A,B,C))).
% 111.91/112.06 ** KEPT (pick-wt=14): 394 [] c_List_Ofilter(A,B,C)=c_List_Olist_ONil(C)|hBOOL(hAPP(A,c_List_Osko__List__Xfilter__empty__conv__1__1(A,B,C))).
% 111.91/112.06 ** KEPT (pick-wt=13): 395 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.06 ---> New Demodulator: 396 [new_demod,395] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=21): 397 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OHash(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OHash(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=12): 398 [] c_Message_Oanalz(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 399 [new_demod,398] c_Message_Oanalz(c_Message_Osynth(A))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=22): 400 [] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 401 [new_demod,400] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 Following clause subsumed by 373 during input processing: 0 [] c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=19): 402 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=19): 403 [] c_lesse_quals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=19): 404 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=19): 405 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(A),c_Message_Osynth(B),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=16): 406 [] c_List_OtakeWhile(A,B,C)=c_List_Ofilter(A,B,C)|hBOOL(hAPP(A,c_List_Osko__List__XtakeWhile__e_q__filter__1__1(A,B,C))).
% 111.91/112.06 ** KEPT (pick-wt=9): 407 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.91/112.06 ---> New Demodulator: 408 [new_demod,407] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.91/112.06 ** KEPT (pick-wt=9): 409 [] c_lesse_quals(c_Event_OinitState(A),c_Event_Oknows(A,B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=10): 410 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 111.91/112.06 ---> New Demodulator: 411 [new_demod,410] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 111.91/112.06 ** KEPT (pick-wt=16): 412 [] c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 413 [new_demod,412] c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=14): 414 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 415 [new_demod,414] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=11): 416 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 111.91/112.06 ---> New Demodulator: 417 [new_demod,416] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 111.91/112.06 ** KEPT (pick-wt=11): 418 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 111.91/112.06 ---> New Demodulator: 419 [new_demod,418] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 111.91/112.06 ** KEPT (pick-wt=11): 420 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=11): 421 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 111.91/112.06 ---> New Demodulator: 422 [new_demod,421] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 111.91/112.06 ** KEPT (pick-wt=19): 424 [copy,423,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 425 [new_demod,424] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=19): 427 [copy,426,demod,425] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=8): 428 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 111.91/112.06 ---> New Demodulator: 429 [new_demod,428] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 111.91/112.06 ** KEPT (pick-wt=8): 430 [] hAPP(c_COMBK(A,B,C),D)=A.
% 111.91/112.06 ---> New Demodulator: 431 [new_demod,430] hAPP(c_COMBK(A,B,C),D)=A.
% 111.91/112.06 ** KEPT (pick-wt=18): 432 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 433 [new_demod,432] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=35): 434 [] c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=16): 435 [] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))).
% 111.91/112.06 ---> New Demodulator: 436 [new_demod,435] c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(A),B,tc_fun(tc_Message_Omsg,tc_bool)))=c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))).
% 111.91/112.06 ** KEPT (pick-wt=23): 437 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=23): 438 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 439 [new_demod,438] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 111.91/112.06 Following clause subsumed by 369 during input processing: 0 [demod,439] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=11): 440 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=11): 441 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=11): 442 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=10): 443 [] c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 444 [new_demod,443] c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=18): 445 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 446 [new_demod,445] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=18): 447 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 448 [new_demod,447] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=28): 450 [copy,449,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 451 [new_demod,450] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=13): 452 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=18): 453 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 111.91/112.06 ---> New Demodulator: 454 [new_demod,453] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=7): 455 [] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 111.91/112.06 ** KEPT (pick-wt=23): 456 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(D),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=22): 457 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=21): 458 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=B|c_in(A,B,C).
% 111.91/112.06 ** KEPT (pick-wt=22): 459 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 111.91/112.06 ** KEPT (pick-wt=10): 460 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_OinitState(C),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=9): 461 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_OinitState(A),tc_Message_Omsg).
% 111.91/112.06 ** KEPT (pick-wt=12): 462 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C).
% 111.91/112.06 ---> New Demodulator: 463 [new_demod,462] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C).
% 111.91/112.06 ** KEPT (pick-wt=15): 464 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OGets(C,D),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=14): 465 [] c_List_Olast(c_List_Olist_OCons(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 111.91/112.07 ** KEPT (pick-wt=9): 466 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.91/112.07 ---> New Demodulator: 467 [new_demod,466] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.91/112.07 ** KEPT (pick-wt=6): 468 [] c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.07 Following clause subsumed by 468 during input processing: 0 [] c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=21): 469 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OAgent(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=18): 470 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 471 [new_demod,470] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=13): 472 [] c_lesse_quals(c_List_Oset(c_List_Ofilter(A,B,C),C),c_List_Oset(B,C),tc_fun(C,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=12): 473 [] c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 474 [new_demod,473] c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=12): 475 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=13): 476 [] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=10): 477 [] c_lesse_quals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),c_Event_Oused(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=21): 478 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 111.91/112.07 ** KEPT (pick-wt=15): 479 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 111.91/112.07 ** KEPT (pick-wt=14): 480 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,B)).
% 111.91/112.07 ** KEPT (pick-wt=8): 481 [] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 111.91/112.07 ---> New Demodulator: 482 [new_demod,481] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 111.91/112.07 ** KEPT (pick-wt=9): 483 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.91/112.07 ---> New Demodulator: 484 [new_demod,483] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.91/112.07 ** KEPT (pick-wt=13): 485 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 486 [new_demod,485] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=9): 487 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=21): 488 [] c_List_OtakeWhile(A,B,C)=c_List_Ofilter(A,B,C)|c_in(c_List_Osko__List__XtakeWhile__e_q__filter__1__1(A,B,C),c_List_Oset(c_List_OdropWhile(A,B,C),C),C).
% 111.91/112.07 ** KEPT (pick-wt=10): 490 [copy,489,demod,463] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=18): 491 [] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(A,C),tc_Message_Omsg)|A=c_Message_Oagent_OSpy.
% 111.91/112.07 ** KEPT (pick-wt=14): 492 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_OinvKey(A),c_Message_OkeysFor(C),tc_nat).
% 111.91/112.07 ---> New Demodulator: 493 [new_demod,492] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_OinvKey(A),c_Message_OkeysFor(C),tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=11): 494 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_OinitState(B),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=16): 495 [] c_List_OdropWhile(A,B,C)=c_List_Olist_ONil(C)|c_in(c_List_Osko__List__XdropWhile__e_q__Nil__conv__1__1(A,B,C),c_List_Oset(B,C),C).
% 111.91/112.07 ** KEPT (pick-wt=16): 496 [] c_List_Ofilter(A,B,C)=c_List_Olist_ONil(C)|c_in(c_List_Osko__List__Xfilter__empty__conv__1__1(A,B,C),c_List_Oset(B,C),C).
% 111.91/112.07 ** KEPT (pick-wt=16): 497 [] c_List_Ofilter(A,B,C)=c_List_Olist_ONil(C)|c_in(c_List_Osko__List__Xfilter__False__1__1(A,B,C),c_List_Oset(B,C),C).
% 111.91/112.07 ** KEPT (pick-wt=13): 498 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(C,B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=13): 499 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 500 [new_demod,499] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oanalz(B),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=21): 501 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 502 [new_demod,501] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=6): 503 [] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 111.91/112.07 ---> New Demodulator: 504 [new_demod,503] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 111.91/112.07 ** KEPT (pick-wt=13): 505 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 111.91/112.07 ** KEPT (pick-wt=19): 506 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 111.91/112.07 ---> New Demodulator: 507 [new_demod,506] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 111.91/112.07 Following clause subsumed by 498 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,E),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=10): 508 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 111.91/112.07 ---> New Demodulator: 509 [new_demod,508] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 111.91/112.07 ** KEPT (pick-wt=8): 510 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=7): 511 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 111.91/112.07 Following clause subsumed by 511 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 111.91/112.07 Following clause subsumed by 511 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 111.91/112.07 ** KEPT (pick-wt=8): 512 [] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ---> New Demodulator: 513 [new_demod,512] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ** KEPT (pick-wt=8): 514 [] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ---> New Demodulator: 515 [new_demod,514] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ** KEPT (pick-wt=8): 516 [] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ---> New Demodulator: 517 [new_demod,516] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ** KEPT (pick-wt=8): 518 [] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ---> New Demodulator: 519 [new_demod,518] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ** KEPT (pick-wt=8): 520 [] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ---> New Demodulator: 521 [new_demod,520] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 111.91/112.07 ** KEPT (pick-wt=9): 522 [] c_Map_Omap__upds(A,B,c_List_Olist_ONil(C),D,C)=A.
% 111.91/112.07 ---> New Demodulator: 523 [new_demod,522] c_Map_Omap__upds(A,B,c_List_Olist_ONil(C),D,C)=A.
% 111.91/112.07 ** KEPT (pick-wt=9): 524 [] c_Map_Omap__upds(A,c_List_Olist_ONil(B),C,B,D)=A.
% 111.91/112.07 ---> New Demodulator: 525 [new_demod,524] c_Map_Omap__upds(A,c_List_Olist_ONil(B),C,B,D)=A.
% 111.91/112.07 ** KEPT (pick-wt=10): 526 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(A,B),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=23): 527 [] c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(A)),c_Message_Oanalz(C),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=3): 528 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)).
% 111.91/112.07 ** KEPT (pick-wt=11): 529 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_Oused(C),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=13): 530 [] c_lesse_quals(c_List_Oset(c_List_Otake(A,B,C),C),c_List_Oset(B,C),tc_fun(C,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=12): 531 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 111.91/112.07 ---> New Demodulator: 532 [new_demod,531] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 111.91/112.07 ** KEPT (pick-wt=9): 533 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=14): 534 [] c_lesse_quals(c_Set_Oinsert(A,c_Message_Osynth(B),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(A,B,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=21): 535 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 536 [new_demod,535] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=13): 537 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 538 [new_demod,537] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=10): 539 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.91/112.07 ---> New Demodulator: 540 [new_demod,539] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 111.91/112.07 ** KEPT (pick-wt=15): 541 [] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(A,C),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 542 [new_demod,541] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Set_Oinsert(B,c_Event_Oknows(A,C),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=7): 543 [] c_lesse_quals(A,c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=11): 544 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=12): 545 [] c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 546 [new_demod,545] c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg))=c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=7): 547 [] c_lesse_quals(A,c_Message_Oanalz(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=6): 548 [] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 111.91/112.07 ---> New Demodulator: 549 [new_demod,548] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 111.91/112.07 ** KEPT (pick-wt=16): 550 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,C,D)|hBOOL(hAPP(A,B)).
% 111.91/112.07 ** KEPT (pick-wt=6): 551 [] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 111.91/112.07 ---> New Demodulator: 552 [new_demod,551] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 111.91/112.07 ** KEPT (pick-wt=4): 553 [] c_Message_Osynthp(A,c_Message_Omsg_OAgent(B)).
% 111.91/112.07 Following clause subsumed by 498 during input processing: 0 [] c_lesse_quals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(B,C,D),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=14): 554 [] c_lesse_quals(c_Set_Oinsert(A,c_Message_Oparts(B),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=16): 555 [] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(A,D),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 556 [new_demod,555] c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(A,D),tc_Message_Omsg).
% 111.91/112.07 Following clause subsumed by 487 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=13): 557 [] c_lesse_quals(c_List_Oset(A,B),c_List_Oset(c_List_Olist_OCons(C,A,B),B),tc_fun(B,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=9): 558 [] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 111.91/112.07 ---> New Demodulator: 559 [new_demod,558] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 111.91/112.07 ** KEPT (pick-wt=13): 560 [] c_lesse_quals(c_List_Oset(c_List_Odrop(A,B,C),C),c_List_Oset(B,C),tc_fun(C,tc_bool)).
% 111.91/112.07 Following clause subsumed by 369 during input processing: 0 [demod,507] c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 111.91/112.07 Following clause subsumed by 498 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)).
% 111.91/112.07 ** KEPT (pick-wt=21): 561 [] c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_OkeysFor(c_Message_Oanalz(B)),tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=7): 562 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 111.91/112.07 ** KEPT (pick-wt=5): 563 [] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 111.91/112.07 ---> New Demodulator: 564 [new_demod,563] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 111.91/112.07 ** KEPT (pick-wt=21): 565 [] c_lesse_quals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=13): 566 [] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 567 [new_demod,566] c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=16): 568 [] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 569 [new_demod,568] c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Set_Oinsert(C,c_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=7): 570 [] c_lesse_quals(A,c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=6): 571 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 111.91/112.07 Following clause subsumed by 571 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 111.91/112.07 Following clause subsumed by 498 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)).
% 111.91/112.07 Following clause subsumed by 511 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B).
% 111.91/112.07 ** KEPT (pick-wt=15): 572 [] c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.07 ---> New Demodulator: 573 [new_demod,572] c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Message_Oparts(B),tc_Message_Omsg).
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OAgent(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=6): 574 [] c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 111.91/112.07 ** KEPT (pick-wt=6): 575 [] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 111.91/112.07 ---> New Demodulator: 576 [new_demod,575] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 111.91/112.07 ** KEPT (pick-wt=16): 577 [] c_List_Ofilter(A,c_List_Olist_OCons(B,C,D),D)=c_List_Ofilter(A,C,D)|hBOOL(hAPP(A,B)).
% 111.91/112.07 ** KEPT (pick-wt=13): 578 [] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 111.91/112.07 ---> New Demodulator: 579 [new_demod,578] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 111.91/112.07 ** KEPT (pick-wt=8): 580 [] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 111.91/112.07 ---> New Demodulator: 581 [new_demod,580] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 111.91/112.07 ** KEPT (pick-wt=6): 582 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 111.91/112.07 ---> New Demodulator: 583 [new_demod,582] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 111.91/112.07 ** KEPT (pick-wt=14): 584 [] c_lesse_quals(c_Set_Oinsert(A,c_Message_Oanalz(B),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(A,B,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=18): 585 [] hAPP(c_Map_Omap__upds(A,B,C,D,E),F)=hAPP(A,F)|c_in(F,c_List_Oset(B,D),D).
% 111.91/112.07 ** KEPT (pick-wt=9): 586 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 111.91/112.07 ---> New Demodulator: 587 [new_demod,586] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 111.91/112.07 Following clause subsumed by 369 during input processing: 0 [demod,587] c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OMPair(C,D),E,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(C,D),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),E,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OMPair(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(B,C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),D,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),D,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [] c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_ONonce(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [] c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_ONonce(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=6): 588 [] c_in(hAPP(c_Public_OshrK,A),c_Message_OsymKeys,tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=9): 589 [] c_lesse_quals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=12): 590 [] c_in(c_List_Olast(A,B),c_List_Oset(A,B),B)|A=c_List_Olist_ONil(B).
% 111.91/112.07 ** KEPT (pick-wt=12): 591 [] c_in(c_List_Ohd(A,B),c_List_Oset(A,B),B)|A=c_List_Olist_ONil(B).
% 111.91/112.07 ** KEPT (pick-wt=10): 592 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oused(C),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=9): 593 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg).
% 111.91/112.07 Following clause subsumed by 593 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg).
% 111.91/112.07 ** KEPT (pick-wt=4): 594 [] c_in(v_K,c_Message_OsymKeys,tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=2): 595 [] class_Lattices_Oupper__semilattice(tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=2): 596 [] class_Orderings_Opreorder(tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=2): 597 [] class_Orderings_Olinorder(tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=2): 598 [] class_Lattices_Olattice(tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=2): 599 [] class_Orderings_Oorder(tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=2): 600 [] class_Orderings_Obot(tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=2): 601 [] class_HOL_Oord(tc_nat).
% 111.91/112.07 ** KEPT (pick-wt=2): 602 [] class_Lattices_Oupper__semilattice(tc_bool).
% 111.91/112.07 ** KEPT (pick-wt=2): 603 [] class_Lattices_Obounded__lattice(tc_bool).
% 111.91/112.07 ** KEPT (pick-wt=2): 604 [] class_Orderings_Opreorder(tc_bool).
% 111.91/112.07 ** KEPT (pick-wt=2): 605 [] class_Lattices_Olattice(tc_bool).
% 111.91/112.07 ** KEPT (pick-wt=2): 606 [] class_Orderings_Oorder(tc_bool).
% 111.91/112.07 ** KEPT (pick-wt=2): 607 [] class_Orderings_Obot(tc_bool).
% 111.91/112.07 ** KEPT (pick-wt=2): 608 [] class_HOL_Oord(tc_bool).
% 111.91/112.07 ** KEPT (pick-wt=4): 609 [] c_fe_qual(A,A,B).
% 111.91/112.07 Following clause subsumed by 369 during input processing: 0 [copy,369,flip.1] A=A.
% 111.91/112.07 369 back subsumes 361.
% 111.91/112.07 369 back subsumes 360.
% 111.91/112.07 369 back subsumes 357.
% 111.91/112.07 Following clause subsumed by 376 during input processing: 0 [copy,370,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)).
% 111.91/112.07 >>>> Starting back demodulation with 372.
% 111.91/112.07 ** KEPT (pick-wt=20): 610 [copy,373,flip.1,demod,587] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)).
% 111.91/112.07 >>>> Starting back demodulation with 375.
% 111.91/112.07 Following clause subsumed by 370 during input processing: 0 [copy,376,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).
% 111.91/112.07 >>>> Starting back demodulation with 378.
% 111.91/112.07 ** KEPT (pick-wt=17): 611 [copy,381,flip.1,demod,587] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(B),B),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 111.91/112.07 >>>> Starting back demodulation with 383.
% 111.91/112.07 >> back demodulating 83 with 383.
% 111.91/112.07 ** KEPT (pick-wt=27): 613 [copy,384,flip.1,demod,587] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_List_Oset(c_List_Olist_ONil(C),C),C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=27): 614 [copy,385,flip.1,demod,587] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(C),C),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 111.91/112.07 ** KEPT (pick-wt=16): 615 [copy,386,flip.1,demod,587,587] c_List_Oset(c_List_Olist_ONil(A),A)=c_Set_Oimage(c_COMBK(B,A,C),c_List_Oset(c_List_Olist_ONil(C),C),C,A).
% 111.91/112.07 >>>> Starting back demodulation with 389.
% 111.91/112.07 >>>> Starting back demodulation with 391.
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [copy,392,flip.1] c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),c_Set_Oinsert(c_Message_Omsg_OHash(A),D,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.07 >>>> Starting back demodulation with 396.
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [copy,397,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).
% 111.91/112.07 >>>> Starting back demodulation with 399.
% 111.91/112.07 >>>> Starting back demodulation with 401.
% 111.91/112.07 >>>> Starting back demodulation with 408.
% 111.91/112.07 >>>> Starting back demodulation with 411.
% 111.91/112.07 >>>> Starting back demodulation with 413.
% 111.91/112.07 >> back demodulating 403 with 413.
% 111.91/112.07 >> back demodulating 402 with 413.
% 111.91/112.07 >> back demodulating 356 with 413.
% 111.91/112.07 >> back demodulating 349 with 413.
% 111.91/112.07 >> back demodulating 124 with 413.
% 111.91/112.07 >> back demodulating 86 with 413.
% 111.91/112.07 >> back demodulating 25 with 413.
% 111.91/112.07 >>>> Starting back demodulation with 415.
% 111.91/112.07 >>>> Starting back demodulation with 417.
% 111.91/112.07 >> back demodulating 374 with 417.
% 111.91/112.07 >>>> Starting back demodulation with 419.
% 111.91/112.07 ** KEPT (pick-wt=11): 618 [copy,420,flip.1,demod,587] c_List_Oset(c_List_Olist_ONil(A),A)=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 111.91/112.07 >>>> Starting back demodulation with 422.
% 111.91/112.07 >>>> Starting back demodulation with 425.
% 111.91/112.07 >> back demodulating 377 with 425.
% 111.91/112.07 ** KEPT (pick-wt=19): 620 [copy,427,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 111.91/112.07 >>>> Starting back demodulation with 429.
% 111.91/112.07 >> back demodulating 355 with 429.
% 111.91/112.07 >> back demodulating 353 with 429.
% 111.91/112.07 >> back demodulating 352 with 429.
% 111.91/112.07 >> back demodulating 351 with 429.
% 111.91/112.07 >> back demodulating 350 with 429.
% 111.91/112.07 >> back demodulating 347 with 429.
% 111.91/112.07 >>>> Starting back demodulation with 431.
% 111.91/112.07 >>>> Starting back demodulation with 433.
% 111.91/112.07 ** KEPT (pick-wt=35): 621 [copy,434,flip.1,demod,587,587,439] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)).
% 111.91/112.07 >>>> Starting back demodulation with 436.
% 111.91/112.07 Following clause subsumed by 437 during input processing: 0 [copy,437,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 111.91/112.07 >>>> Starting back demodulation with 439.
% 111.91/112.07 >> back demodulating 434 with 439.
% 111.91/112.07 >>>> Starting back demodulation with 444.
% 111.91/112.07 >> back demodulating 24 with 444.
% 111.91/112.07 >>>> Starting back demodulation with 446.
% 111.91/112.07 >>>> Starting back demodulation with 448.
% 111.91/112.07 >> back demodulating 54 with 448.
% 111.91/112.07 >>>> Starting back demodulation with 451.
% 111.91/112.07 Following clause subsumed by 452 during input processing: 0 [copy,452,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 111.91/112.07 >>>> Starting back demodulation with 454.
% 111.91/112.07 ** KEPT (pick-wt=7): 624 [copy,455,flip.1] c_Event_OinitState(A)=c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)).
% 111.91/112.07 ** KEPT (pick-wt=23): 625 [copy,456,flip.1,demod,587] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,A),B,tc_Event_Oevent)).
% 111.91/112.07 ** KEPT (pick-wt=22): 626 [copy,457,flip.1,demod,587] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(C,A),B,tc_Event_Oevent)).
% 111.91/112.07 >>>> Starting back demodulation with 463.
% 111.91/112.07 >> back demodulating 127 with 463.
% 111.91/112.07 >>>> Starting back demodulation with 467.
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [copy,469,flip.1] c_Set_Oinsert(c_Message_Omsg_OAgent(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_OAgent(A),D,tc_Message_Omsg),tc_Message_Omsg).
% 111.91/112.07 >>>> Starting back demodulation with 471.
% 111.91/112.07 >>>> Starting back demodulation with 474.
% 111.91/112.07 ** KEPT (pick-wt=13): 627 [copy,476,flip.1,demod,587,587] c_List_Oset(c_List_Olist_ONil(A),A)=c_Set_Oimage(B,c_List_Oset(c_List_Olist_ONil(C),C),C,A).
% 111.91/112.07 476 back subsumes 386.
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [copy,478,flip.1,demod,587,587] c_Set_Oinsert(A,c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(C),C),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(C),C),C),C).
% 111.91/112.07 Following clause subsumed by 479 during input processing: 0 [copy,479,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 111.91/112.07 479 back subsumes 478.
% 111.91/112.07 479 back subsumes 469.
% 111.91/112.07 479 back subsumes 397.
% 111.91/112.07 479 back subsumes 392.
% 111.91/112.07 >>>> Starting back demodulation with 482.
% 111.91/112.07 >>>> Starting back demodulation with 484.
% 111.91/112.07 >>>> Starting back demodulation with 486.
% 111.91/112.07 >>>> Starting back demodulation with 493.
% 111.91/112.07 498 back subsumes 464.
% 111.91/112.07 >>>> Starting back demodulation with 500.
% 111.91/112.07 >>>> Starting back demodulation with 502.
% 111.91/112.07 >>>> Starting back demodulation with 504.
% 111.91/112.07 >> back demodulating 172 with 504.
% 111.91/112.07 ** KEPT (pick-wt=13): 628 [copy,505,flip.1,demod,587,587] c_Set_Oimage(A,c_List_Oset(c_List_Olist_ONil(B),B),B,C)=c_List_Oset(c_List_Olist_ONil(C),C).
% 111.91/112.07 >>>> Starting back demodulation with 507.
% 111.91/112.07 >> back demodulating 97 with 507.
% 111.91/112.07 >>>> Starting back demodulation with 509.
% 111.91/112.07 >>>> Starting back demodulation with 513.
% 111.91/112.07 >>>> Starting back demodulation with 515.
% 111.91/112.07 >>>> Starting back demodulation with 517.
% 111.91/112.07 >>>> Starting back demodulation with 519.
% 111.91/112.07 >>>> Starting back demodulation with 521.
% 111.91/112.07 >>>> Starting back demodulation with 523.
% 111.91/112.07 >>>> Starting back demodulation with 525.
% 111.91/112.07 >>>> Starting back demodulation with 532.
% 111.91/112.07 >> back demodulating 365 with 532.
% 111.91/112.07 >> back demodulating 364 with 532.
% 111.91/112.07 >> back demodulating 363 with 532.
% 111.91/112.07 >> back demodulating 362 with 532.
% 111.91/112.07 >>>> Starting back demodulation with 536.
% 111.91/112.07 >>>> Starting back demodulation with 538.
% 111.91/112.07 >>>> Starting back demodulation with 540.
% 111.91/112.07 >>>> Starting back demodulation with 542.
% 111.91/112.07 >>>> Starting back demodulation with 546.
% 111.91/112.07 >>>> Starting back demodulation with 549.
% 111.91/112.07 >>>> Starting back demodulation with 552.
% 111.91/112.07 >> back demodulating 169 with 552.
% 111.91/112.07 >>>> Starting back demodulation with 556.
% 111.91/112.07 >>>> Starting back demodulation with 559.
% 111.91/112.07 >>>> Starting back demodulation with 564.
% 111.91/112.07 565 back subsumes 158.
% 111.91/112.07 >>>> Starting back demodulation with 567.
% 111.91/112.07 >>>> Starting back demodulation with 569.
% 111.91/112.07 >> back demodulating 151 with 569.
% 111.91/112.07 571 back subsumes 490.
% 111.91/112.07 >>>> Starting back demodulation with 573.
% 111.91/112.07 >>>> Starting back demodulation with 576.
% 111.91/112.07 >> back demodulating 170 with 576.
% 111.91/112.07 >>>> Starting back demodulation with 579.
% 111.91/112.07 >> back demodulating 557 with 579.
% 111.91/112.07 >> back demodulating 262 with 579.
% 111.91/112.07 >>>> Starting back demodulation with 581.
% 111.91/112.07 >>>> Starting back demodulation with 583.
% 111.91/112.07 >>>> Starting back demodulation with 587.
% 111.91/112.07 >> back demodulating 505 with 587.
% 111.91/112.07 >> back demodulating 487 with 587.
% 111.91/112.07 >> back demodulating 476 with 587.
% 111.91/112.07 >> back demodulating 459 with 587.
% 111.91/112.07 >> back demodulating 458 with 587.
% 111.91/112.07 >> back demodulating 457 with 587.
% 111.91/112.07 >> back demodulating 456 with 587.
% 111.91/112.07 >> back demodulating 443 with 587.
% 111.91/112.07 >> back demodulating 421 with 587.
% 111.91/112.07 >> back demodulating 420 with 587.
% 111.91/112.07 >> back demodulating 418 with 587.
% 111.91/112.07 >> back demodulating 416 with 587.
% 111.91/112.07 >> back demodulating 414 with 587.
% 111.91/112.07 >> back demodulating 385 with 587.
% 111.91/112.07 >> back demodulating 384 with 587.
% 111.91/112.07 >> back demodulating 382 with 587.
% 111.91/112.07 >> back demodulating 381 with 587.
% 111.91/112.07 >> back demodulating 373 with 587.
% 111.91/112.07 >> back demodulating 371 with 587.
% 111.91/112.07 >> back demodulating 277 with 587.
% 111.91/112.07 >> back demodulating 276 with 587.
% 111.91/112.07 >> back demodulating 248 with 587.
% 111.91/112.07 >> back demodulating 243 with 587.
% 111.91/112.07 >> back demodulating 229 with 587.
% 111.91/112.07 >> back demodulating 228 with 587.
% 111.91/112.07 >> back demodulating 225 with 587.
% 111.91/112.07 >> back demodulating 224 with 587.
% 111.91/112.07 >> back demodulating 223 with 587.
% 111.91/112.07 >> back demodulating 222 with 587.
% 111.91/112.07 >> back demodulating 213 with 587.
% 111.91/112.07 >> back demodulating 206 with 587.
% 111.91/112.07 >> back demodulating 162 with 587.
% 111.91/112.07 >> back demodulating 144 with 587.
% 111.91/112.07 >> back demodulating 143 with 587.
% 111.91/112.07 >> back demodulating 142 with 587.
% 111.91/112.07 >> back demodulating 130 with 587.
% 111.91/112.07 >> back demodulating 118 with 587.
% 111.91/112.07 >> back demodulating 111 with 587.
% 111.91/112.07 >> back demodulating 103 with 587.
% 111.91/112.07 >> back demodulating 88 with 587.
% 111.91/112.07 >> back demodulating 82 with 587.
% 111.91/112.07 >> back demodulating 56 with 587.
% 111.91/112.07 >> back demodulating 55 with 587.
% 111.91/112.07 Following clause subsumed by 655 during input processing: 0 [copy,610,flip.1] c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 Following clause subsumed by 654 during input processing: 0 [copy,611,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(C),C),C),B,tc_fun(C,tc_bool)).
% 111.91/112.07 Following clause subsumed by 651 during input processing: 0 [copy,613,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(D),D),D),tc_fun(D,tc_bool)).
% 111.91/112.07 Following clause subsumed by 650 during input processing: 0 [copy,614,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(D),D),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 111.91/112.07 Following clause subsumed by 628 during input processing: 0 [copy,615,flip.1] c_Set_Oimage(c_COMBK(A,B,C),c_List_Oset(c_List_Olist_ONil(C),C),C,B)=c_List_Oset(c_List_Olist_ONil(B),B).
% 111.91/112.07 Following clause subsumed by 643 during input processing: 0 [copy,618,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_List_Oset(c_List_Olist_ONil(B),B).
% 111.91/112.07 ** KEPT (pick-wt=29): 682 [copy,619,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(A,B,tc_nat),tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 Following clause subsumed by 427 during input processing: 0 [copy,620,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)).
% 111.91/112.07 Following clause subsumed by 622 during input processing: 0 [copy,621,flip.1] c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 Following clause subsumed by 621 during input processing: 0 [copy,622,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(C),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,c_Set_Oinsert(B,C,tc_Message_Omsg),tc_Message_Omsg)).
% 111.91/112.07 Following clause subsumed by 455 during input processing: 0 [copy,624,flip.1] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 111.91/112.07 Following clause subsumed by 638 during input processing: 0 [copy,625,flip.1] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(C,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(D),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 Following clause subsumed by 637 during input processing: 0 [copy,626,flip.1] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(A,B),C,tc_Event_Oevent))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(C),tc_fun(tc_Message_Omsg,tc_bool)).
% 111.91/112.07 Following clause subsumed by 628 during input processing: 0 [copy,627,flip.1] c_Set_Oimage(A,c_List_Oset(c_List_Olist_ONil(B),B),B,C)=c_List_Oset(c_List_Olist_ONil(C),C).
% 111.91/112.07 627 back subsumes 615.
% 111.91/112.07 Following clause subsumed by 627 during input processing: 0 [copy,628,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)=c_Set_Oimage(B,c_List_Oset(c_List_Olist_ONil(C),C),C,A).
% 111.91/112.07 Following clause subsumed by 626 during input processing: 0 [copy,637,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(C,A),B,tc_Event_Oevent)).
% 111.91/112.07 Following clause subsumed by 625 during input processing: 0 [copy,638,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,A),B,tc_Event_Oevent)).
% 111.91/112.07 >>>> Starting back demodulation with 640.
% 111.91/112.07 >> back demodulating 623 with 640.
% 111.91/112.07 >>>> Starting back demodulation with 642.
% 111.91/112.07 Following clause subsumed by 618 during input processing: 0 [copy,643,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 111.91/112.07 >>>> Starting back demodulation with 645.
% 111.91/112.07 >>>> Starting back demodulation with 647.
% 111.91/112.07 >>>> Starting back demodulation with 649.
% 111.91/112.07 Following clause subsumed by 614 during input processing: 0 [copy,650,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(C),C),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 111.91/112.07 Following clause subsumed by 613 during input processing: 0 [copy,651,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_List_Oset(c_List_Olist_ONil(C),C),C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 111.91/112.07 >>>> Starting back demodulation with 653.
% 111.91/112.07 >> back demodulating 612 with 653.
% 111.91/112.07 Following clause subsumed by 611 during input processing: 0 [copy,654,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(B),B),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 113.25/113.39 Following clause subsumed by 610 during input processing: 0 [copy,655,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)).
% 113.25/113.39 >>>> Starting back demodulation with 657.
% 113.25/113.39 Following clause subsumed by 669 during input processing: 0 [copy,662,flip.1] c_Set_Oinsert(A,B,C)!=c_List_Oset(c_List_Olist_ONil(C),C).
% 113.25/113.39 Following clause subsumed by 662 during input processing: 0 [copy,669,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)!=c_Set_Oinsert(B,C,A).
% 113.25/113.39 Following clause subsumed by 619 during input processing: 0 [copy,682,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,A,tc_nat,tc_Message_Omsg),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),C,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(B,A,tc_nat),tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool)).
% 113.25/113.39
% 113.25/113.39 ======= end of input processing =======
% 113.25/113.39
% 113.25/113.39 =========== start of search ===========
% 113.25/113.39
% 113.25/113.39
% 113.25/113.39 Resetting weight limit to 2.
% 113.25/113.39
% 113.25/113.39
% 113.25/113.39 Resetting weight limit to 2.
% 113.25/113.39
% 113.25/113.39 sos_size=200
% 113.25/113.39
% 113.25/113.39 Search stopped because sos empty.
% 113.25/113.39
% 113.25/113.39
% 113.25/113.39 Search stopped because sos empty.
% 113.25/113.39
% 113.25/113.39 ============ end of search ============
% 113.25/113.39
% 113.25/113.39 -------------- statistics -------------
% 113.25/113.39 clauses given 201
% 113.25/113.39 clauses generated 112807
% 113.25/113.39 clauses kept 601
% 113.25/113.39 clauses forward subsumed 162
% 113.25/113.39 clauses back subsumed 22
% 113.25/113.39 Kbytes malloced 11718
% 113.25/113.39
% 113.25/113.39 ----------- times (seconds) -----------
% 113.25/113.39 user CPU time 1.39 (0 hr, 0 min, 1 sec)
% 113.25/113.39 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 113.25/113.39 wall-clock time 113 (0 hr, 1 min, 53 sec)
% 113.25/113.39
% 113.25/113.39 Process 24998 finished Wed Jul 27 06:12:31 2022
% 113.25/113.39 Otter interrupted
% 113.25/113.39 PROOF NOT FOUND
%------------------------------------------------------------------------------