TSTP Solution File: SWV718-1 by Otter---3.3

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV718-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n022.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 106.72s 106.84s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV718-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 06:08:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 105.39/105.46  ----- Otter 3.3f, August 2004 -----
% 105.39/105.46  The process was started by sandbox on n022.cluster.edu,
% 105.39/105.46  Wed Jul 27 06:08:50 2022
% 105.39/105.46  The command was "./otter".  The process ID is 3816.
% 105.39/105.46  
% 105.39/105.46  set(prolog_style_variables).
% 105.39/105.46  set(auto).
% 105.39/105.46     dependent: set(auto1).
% 105.39/105.46     dependent: set(process_input).
% 105.39/105.46     dependent: clear(print_kept).
% 105.39/105.46     dependent: clear(print_new_demod).
% 105.39/105.46     dependent: clear(print_back_demod).
% 105.39/105.46     dependent: clear(print_back_sub).
% 105.39/105.46     dependent: set(control_memory).
% 105.39/105.46     dependent: assign(max_mem, 12000).
% 105.39/105.46     dependent: assign(pick_given_ratio, 4).
% 105.39/105.46     dependent: assign(stats_level, 1).
% 105.39/105.46     dependent: assign(max_seconds, 10800).
% 105.39/105.46  clear(print_given).
% 105.39/105.46  
% 105.39/105.46  list(usable).
% 105.39/105.46  0 [] A=A.
% 105.39/105.46  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 105.39/105.46  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 105.39/105.46  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)).
% 105.39/105.46  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 105.39/105.46  0 [] c_Event_Oevent_OGets(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OHash(V_msg_H)|V_msg=V_msg_H.
% 105.39/105.46  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).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OGets(V_agent,V_msg).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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)).
% 105.39/105.46  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).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  0 [] -c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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)).
% 105.39/105.46  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).
% 105.39/105.46  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))).
% 105.39/105.46  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))).
% 105.39/105.46  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).
% 105.39/105.46  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).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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)).
% 105.39/105.46  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))).
% 105.39/105.46  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)).
% 105.39/105.47  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).
% 105.39/105.47  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))).
% 105.39/105.47  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 105.39/105.47  0 [] c_lesse_quals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OHash(V_X))| -c_Message_Osynthp(V_H,V_X).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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.
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 105.39/105.47  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 105.39/105.47  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  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))).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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))).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OHash(V_msg_H).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OHash(V_msg).
% 105.39/105.47  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 105.39/105.47  0 [] c_Message_Omsg_OHash(V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 105.39/105.47  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OHash(V_msg).
% 105.39/105.47  0 [] c_Message_Omsg_OHash(V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 105.39/105.47  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 105.39/105.47  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OHash(V_msg_H).
% 105.39/105.47  0 [] c_Message_Omsg_OHash(V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 105.39/105.47  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_OGets(V_agent_H,V_msg_H).
% 105.39/105.47  0 [] c_Event_Oevent_OGets(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(V_A).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 105.39/105.47  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).
% 105.39/105.47  0 [] -c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg).
% 105.39/105.47  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))| -c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(V_A,V_xs,T_a),V_A,T_a).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A))!=hAPP(c_Public_OshrK,V_B).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 105.39/105.47  0 [] c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg).
% 105.39/105.47  0 [] c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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.
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_b=V_c.
% 105.39/105.47  0 [] hAPP(c_Public_OpublicKey(V_b),V_A)!=hAPP(c_Public_OpublicKey(V_c),V_A_H)|V_A=V_A_H.
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))!=hAPP(c_Public_OpublicKey(V_c),V_A_H).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_OinvKey(hAPP(c_Public_OshrK,V_A))=hAPP(c_Public_OshrK,V_A).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 105.39/105.47  0 [] c_Message_OinvKey(V_K)!=c_Message_OinvKey(V_K_H)|V_K=V_K_H.
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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.
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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.
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))|c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(V_A,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a).
% 105.39/105.47  0 [] hBOOL(hAPP(V_P,V_x))|c_in(v_sko__List__Xlists__Xinduct__1(V_A,V_P),V_A,t_a)| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a)).
% 105.39/105.47  0 [] c_in(v_sko__List__Xlists__Xcases__1(V_A,V_a),V_A,t_a)|V_a=c_List_Olist_ONil(t_a)| -c_in(V_a,c_List_Olists(V_A,t_a),tc_List_Olist(t_a)).
% 105.39/105.47  0 [] hBOOL(hAPP(V_P,V_x))|c_in(v_sko__List__Xlists__Xinducts__1(V_A,V_P),V_A,t_a)| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -c_in(V_x,c_List_Olists(V_A,t_a),tc_List_Olist(t_a)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_Osynth(c_Message_Osynth(V_H))=c_Message_Osynth(V_H).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 105.39/105.47  0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] hAPP(c_Public_OshrK,V_x)!=hAPP(c_Public_OshrK,V_y)|V_x=V_y.
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_lesse_quals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a).
% 105.39/105.47  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.39/105.47  0 [] hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.39/105.47  0 [] -c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.39/105.47  0 [] -c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 105.39/105.47  0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a).
% 105.39/105.47  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a).
% 105.39/105.47  0 [] -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.39/105.47  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.
% 105.39/105.47  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 105.39/105.47  0 [] c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| -c_in(V_X,V_H,tc_Message_Omsg).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 105.39/105.47  0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 105.39/105.47  0 [] c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 105.39/105.47  0 [] c_List_OdropWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 105.39/105.47  0 [] c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 105.39/105.47  0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 105.39/105.47  0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 105.39/105.47  0 [] c_Map_Omap__upds(V_m,V_as,c_List_Olist_ONil(T_b),T_a,T_b)=V_m.
% 105.39/105.47  0 [] c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b)=V_m.
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_OAgent(V_agent).
% 105.39/105.47  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 105.39/105.47  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 105.39/105.47  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OAgent(V_agent).
% 105.39/105.47  0 [] c_Message_Omsg_OAgent(V_agent)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 105.39/105.47  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 105.39/105.47  0 [] c_Message_Omsg_ONonce(V_nat_H)!=c_Message_Omsg_OAgent(V_agent).
% 105.39/105.47  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_ONonce(V_nat_H).
% 105.39/105.47  0 [] c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H).
% 105.39/105.47  0 [] c_Event_Oevent_ONotes(V_agent_H,V_msg_H)!=c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg).
% 105.39/105.47  0 [] c_Message_Oagent_OServer!=c_Message_Oagent_OSpy.
% 105.39/105.47  0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 105.39/105.47  0 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 105.39/105.47  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 105.39/105.47  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 105.39/105.47  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).
% 105.39/105.47  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 105.39/105.47  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))=c_Message_OkeysFor(V_H).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_lesse_quals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_lesse_quals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.39/105.47  0 [] hAPP(c_Public_OpublicKey(V_b),V_C)!=hAPP(c_Public_OshrK,V_A).
% 105.39/105.47  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_Oanalz(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_Oparts(c_Message_Oparts(V_H))=c_Message_Oparts(V_H).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_Osynthp(V_H,c_Message_Omsg_OAgent(V_agt)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_msg=V_msg_H.
% 105.39/105.47  0 [] c_Event_Oevent_ONotes(V_agent,V_msg)!=c_Event_Oevent_ONotes(V_agent_H,V_msg_H)|V_agent=V_agent_H.
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=V_x.
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_OinvKey(c_Message_OinvKey(V_K))=V_K.
% 105.39/105.47  0 [] hAPP(c_Public_OshrK,V_A)!=hAPP(c_Public_OpublicKey(V_b),V_C).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_lesse_quals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 105.39/105.47  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 105.39/105.47  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 105.39/105.47  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)).
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_Osynthp(V_H,V_X)| -hBOOL(hAPP(V_H,V_X)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] hAPP(c_Public_OshrK,V_A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_Oanalz(c_Message_Oanalz(V_H))=c_Message_Oanalz(V_H).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_x.
% 105.39/105.47  0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C))!=hAPP(c_Public_OshrK,V_A).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_Message_Omsg_OAgent(V_agent)!=c_Message_Omsg_OAgent(V_agent_H)|V_agent=V_agent_H.
% 105.39/105.47  0 [] hAPP(c_Public_OpublicKey(V_c),V_A_H)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)).
% 105.39/105.47  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_List_Oset(c_List_Olist_ONil(T_a),T_a).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_List_Oset(c_List_Olist_ONil(T_a),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(c_List_Olist_ONil(T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  0 [] c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat).
% 105.39/105.47  0 [] c_Message_OinvKey(V_K)=V_K| -c_in(V_K,c_Message_OsymKeys,tc_nat).
% 105.39/105.47  0 [] c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)| -c_in(V_K,c_Message_OsymKeys,tc_nat).
% 105.39/105.47  0 [] c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat).
% 105.39/105.47  0 [] -c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(V_x,V_A,T_a)| -c_in(V_x,c_List_Oset(V_xs,T_a),T_a)| -c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 105.39/105.47  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 105.39/105.47  0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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)).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 105.39/105.47  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).
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_ONonce(V_nat).
% 105.39/105.47  0 [] hAPP(c_Message_Omsg_OKey,V_nat_H)!=c_Message_Omsg_ONonce(V_nat).
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  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.
% 105.39/105.47  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 105.39/105.47  0 [] c_Message_Omsg_ONonce(V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H).
% 105.39/105.47  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=hAPP(c_Message_Omsg_OKey,V_nat_H)|V_nat=V_nat_H.
% 105.39/105.47  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).
% 105.39/105.47  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 105.39/105.47  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 105.39/105.47  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_ONonce(V_nat_H)|V_nat=V_nat_H.
% 105.39/105.47  0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)).
% 105.39/105.47  0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a).
% 105.39/105.47  0 [] c_Message_Omsg_ONonce(V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 105.39/105.47  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_nat=V_nat_H.
% 105.39/105.47  0 [] c_Message_Omsg_OCrypt(V_nat,V_msg)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)|V_msg=V_msg_H.
% 105.39/105.47  0 [] -c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 105.39/105.47  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg1=V_msg1_H.
% 105.39/105.47  0 [] c_Message_Omsg_OMPair(V_msg1,V_msg2)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)|V_msg2=V_msg2_H.
% 105.39/105.47  0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 105.39/105.47  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=c_Message_Omsg_ONonce(V_nat).
% 105.39/105.47  0 [] c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)!=c_Message_Omsg_OMPair(V_msg1,V_msg2).
% 105.39/105.47  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H).
% 105.39/105.47  0 [] c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)!=hAPP(c_Message_Omsg_OKey,V_nat).
% 105.39/105.47  0 [] hAPP(c_Message_Omsg_OKey,V_nat)!=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H).
% 105.39/105.47  0 [] v_A!=c_Message_Oagent_OServer.
% 105.39/105.47  0 [] -c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg).
% 105.39/105.47  0 [] c_in(v_K,c_Message_OsymKeys,tc_nat).
% 105.39/105.47  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_x),c_Message_Omsg_ONonce(V_x)))),c_List_Oset(V_xa,tc_Event_Oevent),tc_Event_Oevent)| -c_in(V_xa,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 105.39/105.47  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 105.39/105.47  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 105.39/105.47  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 105.39/105.47  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 105.39/105.47  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 105.39/105.47  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 105.39/105.47  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 105.39/105.47  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 105.39/105.47  0 [] class_Orderings_Opreorder(tc_nat).
% 105.39/105.47  0 [] class_Orderings_Olinorder(tc_nat).
% 105.39/105.47  0 [] class_Lattices_Olattice(tc_nat).
% 105.39/105.47  0 [] class_Orderings_Oorder(tc_nat).
% 105.39/105.47  0 [] class_Orderings_Obot(tc_nat).
% 105.39/105.47  0 [] class_HOL_Oord(tc_nat).
% 105.39/105.47  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 105.39/105.47  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 105.39/105.47  0 [] class_Orderings_Opreorder(tc_bool).
% 105.39/105.47  0 [] class_Lattices_Olattice(tc_bool).
% 105.39/105.47  0 [] class_Orderings_Oorder(tc_bool).
% 105.39/105.47  0 [] class_Orderings_Obot(tc_bool).
% 105.39/105.47  0 [] class_HOL_Oord(tc_bool).
% 105.39/105.47  0 [] c_fe_qual(V_x,V_x,T_a).
% 105.39/105.47  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 105.39/105.47  end_of_list.
% 105.39/105.47  
% 105.39/105.47  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 105.39/105.47  
% 105.39/105.47  This ia a non-Horn set with equality.  The strategy will be
% 105.39/105.47  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 105.39/105.47  deletion, with positive clauses in sos and nonpositive
% 105.39/105.47  clauses in usable.
% 105.39/105.47  
% 105.39/105.47     dependent: set(knuth_bendix).
% 105.39/105.47     dependent: set(anl_eq).
% 105.39/105.47     dependent: set(para_from).
% 105.39/105.47     dependent: set(para_into).
% 105.39/105.47     dependent: clear(para_from_right).
% 105.39/105.47     dependent: clear(para_into_right).
% 105.39/105.47     dependent: set(para_from_vars).
% 105.39/105.47     dependent: set(eq_units_both_ways).
% 105.39/105.47     dependent: set(dynamic_demod_all).
% 105.39/105.47     dependent: set(dynamic_demod).
% 105.39/105.47     dependent: set(order_eq).
% 105.39/105.47     dependent: set(back_demod).
% 105.39/105.47     dependent: set(lrpo).
% 105.39/105.47     dependent: set(hyper_res).
% 105.39/105.47     dependent: set(unit_deletion).
% 105.39/105.47     dependent: set(factor).
% 105.39/105.47  
% 105.39/105.47  ------------> process usable:
% 105.39/105.47  ** KEPT (pick-wt=10): 1 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|B=D.
% 105.39/105.47  ** KEPT (pick-wt=10): 2 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OGets(C,D)|A=C.
% 105.39/105.47  ** KEPT (pick-wt=28): 3 [] 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)).
% 105.39/105.47  ** KEPT (pick-wt=5): 4 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 105.39/105.47  ** KEPT (pick-wt=7): 5 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 105.39/105.47  ** KEPT (pick-wt=12): 6 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 105.39/105.47  ** 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).
% 105.39/105.47  ** KEPT (pick-wt=12): 8 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 105.39/105.47  ** KEPT (pick-wt=14): 9 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 105.39/105.47  ** KEPT (pick-wt=14): 10 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 105.39/105.47  ** KEPT (pick-wt=14): 11 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 105.39/105.47  ** KEPT (pick-wt=8): 12 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OHash(B)|A=B.
% 105.39/105.47  ** KEPT (pick-wt=28): 13 [] 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)).
% 105.39/105.47  ** KEPT (pick-wt=7): 14 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 105.39/105.47  ** 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(D,B,A),C,A).
% 105.39/105.47  ** KEPT (pick-wt=13): 16 [] -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).
% 105.39/105.47  ** 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,D,A).
% 105.39/105.47  ** KEPT (pick-wt=13): 18 [] -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).
% 105.39/105.47    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(D,B,A),C,A).
% 105.39/105.47    Following clause subsumed by 16 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).
% 105.39/105.47  ** KEPT (pick-wt=17): 19 [] 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)).
% 105.39/105.47  ** KEPT (pick-wt=17): 20 [] 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)).
% 105.39/105.47  ** KEPT (pick-wt=25): 21 [] 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)).
% 105.39/105.47  ** 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(E,D,A)| -c_lesse_quals(C,B,A).
% 105.39/105.47  ** KEPT (pick-wt=19): 23 [] -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).
% 105.39/105.47  ** KEPT (pick-wt=20): 24 [] 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).
% 105.39/105.47  ** KEPT (pick-wt=8): 25 [] -c_in(A,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg).
% 105.39/105.47  ** KEPT (pick-wt=20): 26 [] 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).
% 105.39/105.47  ** KEPT (pick-wt=15): 27 [] 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).
% 105.39/105.47  ** KEPT (pick-wt=16): 28 [] 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).
% 105.39/105.47  ** KEPT (pick-wt=11): 29 [] c_in(c_Message_Omsg_OHash(A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(B),tc_Message_Omsg).
% 105.39/105.47  ** KEPT (pick-wt=34): 30 [] 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)).
% 105.39/105.47  ** KEPT (pick-wt=14): 31 [] 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))).
% 105.39/105.47  ** KEPT (pick-wt=15): 32 [] 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).
% 105.39/105.47  ** KEPT (pick-wt=42): 33 [] 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).
% 105.39/105.47  ** KEPT (pick-wt=7): 34 [] c_Message_Osynthp(A,c_Message_Omsg_OHash(B))| -c_Message_Osynthp(A,B).
% 105.39/105.47  ** 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.
% 105.39/105.48  ** 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.
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** KEPT (pick-wt=8): 40 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 105.39/105.48  ** 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.
% 105.39/105.48  ** 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.
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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))).
% 105.39/105.48  ** 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)).
% 105.39/105.48    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)).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** KEPT (pick-wt=9): 50 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 105.39/105.48  ** KEPT (pick-wt=9): 51 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 105.39/105.48    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).
% 105.39/105.48    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).
% 105.39/105.48  ** KEPT (pick-wt=9): 52 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 105.39/105.48  ** KEPT (pick-wt=9): 53 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** KEPT (pick-wt=5): 63 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48    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).
% 105.39/105.48  ** KEPT (pick-wt=6): 72 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 105.39/105.48  ** KEPT (pick-wt=6): 73 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 105.39/105.48  ** KEPT (pick-wt=6): 74 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 105.39/105.48  ** KEPT (pick-wt=6): 75 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 105.39/105.48  ** KEPT (pick-wt=6): 76 [] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 105.39/105.48  ** KEPT (pick-wt=6): 77 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 105.39/105.48  ** KEPT (pick-wt=5): 78 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 105.39/105.48  ** KEPT (pick-wt=5): 79 [] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 105.39/105.48  ** KEPT (pick-wt=8): 80 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 105.39/105.48  ** KEPT (pick-wt=8): 81 [] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** KEPT (pick-wt=8): 85 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** KEPT (pick-wt=7): 87 [] -c_in(c_Message_Omsg_ONonce(A),c_Message_Oparts(c_Event_OinitState(B)),tc_Message_Omsg).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** KEPT (pick-wt=14): 91 [] c_in(A,c_List_Olists(B,C),tc_List_Olist(C))| -c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(B,A,C),B,C).
% 105.39/105.48  ** KEPT (pick-wt=13): 92 [] -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).
% 105.39/105.48  ** KEPT (pick-wt=11): 93 [] -c_in(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OshrK,C,tc_Message_Oagent,tc_nat),tc_nat).
% 105.39/105.48  ** KEPT (pick-wt=11): 94 [] -c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat),tc_nat).
% 105.39/105.48  ** KEPT (pick-wt=9): 95 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),A))!=hAPP(c_Public_OshrK,B).
% 105.39/105.48  ** KEPT (pick-wt=19): 96 [] 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** KEPT (pick-wt=11): 99 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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.
% 105.39/105.48  ** KEPT (pick-wt=13): 104 [] c_List_Olist_OCons(A,B,C)!=c_List_Ofilter(D,E,C)|hBOOL(hAPP(D,A)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** KEPT (pick-wt=12): 107 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|A=C.
% 105.39/105.48  ** KEPT (pick-wt=12): 108 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OpublicKey(C),D)|B=D.
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** KEPT (pick-wt=10): 112 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** KEPT (pick-wt=8): 117 [] c_Message_OinvKey(A)!=c_Message_OinvKey(B)|A=B.
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** KEPT (pick-wt=13): 119 [] c_List_Ofilter(A,B,C)!=c_List_Olist_OCons(D,E,C)|hBOOL(hAPP(A,D)).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** 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)).
% 105.39/105.48  ** 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).
% 105.39/105.48  ** KEPT (pick-wt=34): 123 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=24): 124 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=17): 125 [] 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.
% 105.39/105.48  ** KEPT (pick-wt=19): 126 [] -c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(C,D),B,tc_Event_Oevent))),tc_Message_Omsg).
% 105.39/105.48    Following clause subsumed by 27 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).
% 105.39/105.48    Following clause subsumed by 27 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).
% 105.39/105.48  ** KEPT (pick-wt=20): 128 [copy,127,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).
% 105.39/105.48    Following clause subsumed by 128 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).
% 105.39/105.48  ** KEPT (pick-wt=19): 129 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=29): 130 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=26): 131 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=8): 132 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),A)),c_Message_OsymKeys,tc_nat).
% 105.39/105.48  ** KEPT (pick-wt=12): 133 [] -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).
% 105.39/105.48    Following clause subsumed by 27 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).
% 105.39/105.48    Following clause subsumed by 27 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).
% 105.39/105.48  ** KEPT (pick-wt=22): 134 [] hBOOL(hAPP(A,B))|c_in(v_sko__List__Xlists__Xinduct__1(C,A),C,t_a)| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a)).
% 105.39/105.48  ** KEPT (pick-wt=17): 135 [] c_in(v_sko__List__Xlists__Xcases__1(A,B),A,t_a)|B=c_List_Olist_ONil(t_a)| -c_in(B,c_List_Olists(A,t_a),tc_List_Olist(t_a)).
% 105.39/105.48  ** KEPT (pick-wt=22): 136 [] hBOOL(hAPP(A,B))|c_in(v_sko__List__Xlists__Xinducts__1(C,A),C,t_a)| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -c_in(B,c_List_Olists(C,t_a),tc_List_Olist(t_a)).
% 105.39/105.48  ** KEPT (pick-wt=21): 137 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=23): 138 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=23): 139 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=24): 140 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=24): 141 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=24): 142 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=24): 143 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=20): 144 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=30): 145 [] 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)).
% 105.39/105.48  ** KEPT (pick-wt=30): 146 [] 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)).
% 105.39/105.48    Following clause subsumed by 146 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)).
% 105.39/105.48  ** KEPT (pick-wt=19): 147 [] 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)).
% 105.39/105.48    Following clause subsumed by 116 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).
% 105.39/105.48    Following clause subsumed by 147 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).
% 105.39/105.48  ** KEPT (pick-wt=15): 148 [] 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)).
% 105.39/105.48  ** KEPT (pick-wt=15): 149 [] 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)).
% 105.39/105.48  ** KEPT (pick-wt=29): 150 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=29): 151 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=19): 152 [] 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)).
% 105.39/105.48  ** KEPT (pick-wt=6): 153 [] c_List_Olist_OCons(A,B,C)!=B.
% 105.39/105.48    Following clause subsumed by 153 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 105.39/105.48  ** KEPT (pick-wt=20): 154 [] -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).
% 105.39/105.48  ** KEPT (pick-wt=13): 155 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=16): 156 [] 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)).
% 105.39/105.48  ** KEPT (pick-wt=16): 157 [] 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).
% 105.39/105.48  ** KEPT (pick-wt=10): 158 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OshrK,B)|A=B.
% 105.39/105.48  ** KEPT (pick-wt=10): 159 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 105.39/105.48    Following clause subsumed by 159 during input processing: 0 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 105.39/105.48    Following clause subsumed by 159 during input processing: 0 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 105.39/105.48  ** KEPT (pick-wt=16): 160 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 105.40/105.48  ** KEPT (pick-wt=29): 161 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=29): 162 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=24): 163 [] 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)).
% 105.40/105.48  ** KEPT (pick-wt=11): 164 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 105.40/105.48    Following clause subsumed by 164 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 105.40/105.48  ** KEPT (pick-wt=14): 165 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 105.40/105.48    Following clause subsumed by 165 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 105.40/105.48    Following clause subsumed by 165 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 105.40/105.48    Following clause subsumed by 165 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 105.40/105.48  ** KEPT (pick-wt=7): 166 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 105.40/105.48    Following clause subsumed by 166 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 105.40/105.48    Following clause subsumed by 166 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 105.40/105.48    Following clause subsumed by 166 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 105.40/105.48  ** KEPT (pick-wt=14): 167 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C).
% 105.40/105.48    Following clause subsumed by 166 during input processing: 0 [] -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 105.40/105.48  ** KEPT (pick-wt=20): 168 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D.
% 105.40/105.48  ** KEPT (pick-wt=10): 169 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C).
% 105.40/105.48  ** KEPT (pick-wt=14): 170 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 105.40/105.48    Following clause subsumed by 170 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 105.40/105.48    Following clause subsumed by 170 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 105.40/105.48    Following clause subsumed by 170 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 105.40/105.48  ** KEPT (pick-wt=9): 171 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 105.40/105.48  ** KEPT (pick-wt=9): 172 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 105.40/105.48  ** KEPT (pick-wt=11): 173 [] c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oparts(c_Message_Oparts(B)),tc_Message_Omsg).
% 105.40/105.48  ** KEPT (pick-wt=11): 174 [] c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(c_Message_Oanalz(B)),tc_Message_Omsg).
% 105.40/105.48  ** KEPT (pick-wt=9): 175 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,B,tc_Message_Omsg).
% 105.40/105.48  ** KEPT (pick-wt=11): 176 [] c_in(A,c_Message_Osynth(B),tc_Message_Omsg)| -c_in(A,c_Message_Osynth(c_Message_Osynth(B)),tc_Message_Omsg).
% 105.40/105.48  ** KEPT (pick-wt=7): 177 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 105.40/105.48  ** KEPT (pick-wt=7): 178 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 105.40/105.48    Following clause subsumed by 178 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 105.40/105.48  ** KEPT (pick-wt=14): 179 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=14): 180 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=20): 181 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=11): 182 [] c_Message_Osynthp(A,c_Message_Omsg_OMPair(B,C))| -c_Message_Osynthp(A,C)| -c_Message_Osynthp(A,B).
% 105.40/105.48  ** KEPT (pick-wt=6): 183 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 105.40/105.48  ** KEPT (pick-wt=6): 184 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 105.40/105.48  ** KEPT (pick-wt=26): 185 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=29): 186 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=29): 187 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=6): 188 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 105.40/105.48  ** KEPT (pick-wt=6): 189 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 105.40/105.48  ** KEPT (pick-wt=6): 190 [] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 105.40/105.48  ** KEPT (pick-wt=6): 191 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 105.40/105.48  ** KEPT (pick-wt=5): 192 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 105.40/105.48  ** KEPT (pick-wt=5): 193 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 105.40/105.48  ** KEPT (pick-wt=8): 194 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 105.40/105.48  ** KEPT (pick-wt=8): 195 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 105.40/105.48  ** KEPT (pick-wt=3): 197 [copy,196,flip.1] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 105.40/105.48    Following clause subsumed by 197 during input processing: 0 [] c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 105.40/105.48  ** KEPT (pick-wt=8): 198 [] -c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B)),c_Message_OsymKeys,tc_nat).
% 105.40/105.48  ** KEPT (pick-wt=52): 199 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=16): 200 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=16): 201 [] 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).
% 105.40/105.48  ** KEPT (pick-wt=20): 202 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=23): 203 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=12): 204 [] c_in(c_Message_OinvKey(A),c_Message_OkeysFor(B),tc_nat)| -c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg).
% 105.40/105.49  ** KEPT (pick-wt=14): 205 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=16): 206 [] c_List_OtakeWhile(A,B,C)!=B|hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 105.40/105.49  ** KEPT (pick-wt=16): 207 [] c_List_Ofilter(A,B,C)!=B|hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 105.40/105.49  ** KEPT (pick-wt=7): 208 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 105.40/105.49  ** KEPT (pick-wt=9): 209 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 105.40/105.49  ** KEPT (pick-wt=14): 210 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 105.40/105.49  ** KEPT (pick-wt=13): 211 [] c_List_OdropWhile(A,B,C)!=c_List_Olist_OCons(D,E,C)| -hBOOL(hAPP(A,D)).
% 105.40/105.49  ** KEPT (pick-wt=19): 212 [] -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).
% 105.40/105.49  ** KEPT (pick-wt=17): 213 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=17): 214 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=8): 215 [] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 105.40/105.49  ** KEPT (pick-wt=7): 216 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 105.40/105.49  ** KEPT (pick-wt=15): 217 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=15): 218 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=16): 219 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_OdropWhile(A,C,D)| -hBOOL(hAPP(A,B)).
% 105.40/105.49  ** KEPT (pick-wt=15): 220 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 105.40/105.49    Following clause subsumed by 220 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)).
% 105.40/105.49  ** KEPT (pick-wt=13): 221 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 105.40/105.49    Following clause subsumed by 221 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 105.40/105.49    Following clause subsumed by 221 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 105.40/105.49  ** KEPT (pick-wt=12): 222 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=10): 223 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|B=D.
% 105.40/105.49  ** KEPT (pick-wt=10): 224 [] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_ONotes(C,D)|A=C.
% 105.40/105.49  ** 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)|A=E|A=D.
% 105.40/105.49  ** KEPT (pick-wt=27): 226 [] 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.
% 105.40/105.49  ** KEPT (pick-wt=27): 227 [] 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.
% 105.40/105.49  ** KEPT (pick-wt=27): 228 [] 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.
% 105.40/105.49  ** KEPT (pick-wt=13): 229 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=15): 230 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=9): 231 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 105.40/105.49  ** KEPT (pick-wt=19): 232 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=19): 233 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=8): 234 [] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 105.40/105.49  ** KEPT (pick-wt=17): 235 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=18): 236 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=14): 237 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 105.40/105.49  ** KEPT (pick-wt=14): 238 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 105.40/105.49  ** KEPT (pick-wt=18): 239 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=14): 240 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 105.40/105.49  ** KEPT (pick-wt=6): 241 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 105.40/105.49  ** KEPT (pick-wt=6): 242 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 105.40/105.49    Following clause subsumed by 240 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 105.40/105.49  ** KEPT (pick-wt=12): 243 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 105.40/105.49  ** KEPT (pick-wt=12): 244 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 105.40/105.49  ** KEPT (pick-wt=16): 245 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=7): 246 [] c_Message_Osynthp(A,B)| -hBOOL(hAPP(A,B)).
% 105.40/105.49  ** KEPT (pick-wt=14): 247 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=9): 248 [] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 105.40/105.49  ** KEPT (pick-wt=16): 249 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=27): 250 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=20): 251 [] 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)).
% 105.40/105.49    Following clause subsumed by 251 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)).
% 105.40/105.49  ** KEPT (pick-wt=18): 252 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=9): 253 [] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 105.40/105.49  ** KEPT (pick-wt=13): 254 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=8): 255 [] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OAgent(B)|A=B.
% 105.40/105.49  ** KEPT (pick-wt=10): 256 [] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 105.40/105.49  ** KEPT (pick-wt=10): 257 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 105.40/105.49  ** KEPT (pick-wt=18): 258 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=15): 259 [] c_in(A,c_List_Oset(B,C),C)| -c_in(A,c_List_Oset(c_List_Odrop(D,B,C),C),C).
% 105.40/105.49  ** KEPT (pick-wt=15): 260 [] c_in(A,c_List_Oset(B,C),C)| -c_in(A,c_List_Oset(c_List_OtakeWhile(D,B,C),C),C).
% 105.40/105.49  ** KEPT (pick-wt=17): 261 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=13): 262 [] hBOOL(hAPP(A,B))| -c_in(B,c_List_Oset(c_List_OtakeWhile(A,C,D),D),D).
% 105.40/105.49  ** KEPT (pick-wt=17): 263 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=12): 264 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=12): 265 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=12): 266 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=12): 267 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=17): 268 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=18): 269 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=18): 270 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=12): 271 [] c_List_Oset(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_List_Olist_ONil(B).
% 105.40/105.49  ** KEPT (pick-wt=12): 272 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_List_Oset(B,A)|B=c_List_Olist_ONil(A).
% 105.40/105.49  ** KEPT (pick-wt=12): 273 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=18): 274 [] 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).
% 105.40/105.49    Following clause subsumed by 175 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).
% 105.40/105.49  ** KEPT (pick-wt=13): 275 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=14): 276 [] c_Message_Osynthp(A,c_Message_Omsg_OCrypt(B,C))| -hBOOL(hAPP(A,hAPP(c_Message_Omsg_OKey,B)))| -c_Message_Osynthp(A,C).
% 105.40/105.49    Following clause subsumed by 175 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).
% 105.40/105.49  ** KEPT (pick-wt=11): 277 [] 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).
% 105.40/105.49    Following clause subsumed by 277 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).
% 105.40/105.49  ** KEPT (pick-wt=23): 278 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=52): 279 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=15): 280 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=58): 281 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=8): 282 [] c_Message_OinvKey(A)=A| -c_in(A,c_Message_OsymKeys,tc_nat).
% 105.40/105.49  ** KEPT (pick-wt=9): 283 [] c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat)| -c_in(A,c_Message_OsymKeys,tc_nat).
% 105.40/105.49  ** KEPT (pick-wt=9): 284 [] c_in(A,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_OinvKey(A),c_Message_OsymKeys,tc_nat).
% 105.40/105.49  ** KEPT (pick-wt=7): 285 [] -c_in(hAPP(c_Public_OpublicKey(A),B),c_Message_OsymKeys,tc_nat).
% 105.40/105.49  ** KEPT (pick-wt=55): 286 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=17): 287 [] c_List_Ofilter(A,B,C)!=c_List_Olist_ONil(C)| -hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 105.40/105.49  ** KEPT (pick-wt=17): 288 [] c_List_OdropWhile(A,B,C)!=c_List_Olist_ONil(C)|hBOOL(hAPP(A,D))| -c_in(D,c_List_Oset(B,C),C).
% 105.40/105.49  ** KEPT (pick-wt=41): 289 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=10): 290 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Set_Oimage(c_Message_Omsg_OKey,C,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 105.40/105.49    Following clause subsumed by 175 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).
% 105.40/105.49  ** KEPT (pick-wt=19): 291 [] 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).
% 105.40/105.49    Following clause subsumed by 291 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).
% 105.40/105.49  ** KEPT (pick-wt=18): 292 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=17): 293 [] c_in(A,B,C)| -c_in(A,c_List_Oset(D,C),C)| -c_in(D,c_List_Olists(B,C),tc_List_Olist(C)).
% 105.40/105.49    Following clause subsumed by 170 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).
% 105.40/105.49  ** KEPT (pick-wt=14): 294 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=9): 295 [] -c_in(c_Message_Omsg_ONonce(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg).
% 105.40/105.49  ** KEPT (pick-wt=7): 296 [] -c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(A)),c_Event_Oused(A),tc_Message_Omsg).
% 105.40/105.49  ** KEPT (pick-wt=60): 297 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=58): 298 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=61): 299 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=15): 300 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=15): 301 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=13): 302 [] 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).
% 105.40/105.49  ** KEPT (pick-wt=29): 303 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=47): 304 [] 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)).
% 105.40/105.49  ** KEPT (pick-wt=66): 305 [] 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)).
% 105.40/105.49  ** 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).
% 105.40/105.49  ** 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).
% 105.40/105.49  ** 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).
% 105.40/105.49  ** KEPT (pick-wt=6): 309 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 105.40/105.49  ** KEPT (pick-wt=6): 310 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 105.40/105.49  ** KEPT (pick-wt=12): 311 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|A=D.
% 105.40/105.49  ** KEPT (pick-wt=12): 312 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|B=E.
% 105.40/105.49  ** KEPT (pick-wt=12): 313 [] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OSays(D,E,F)|C=F.
% 105.40/105.49  ** KEPT (pick-wt=7): 314 [] c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 105.40/105.49  ** KEPT (pick-wt=6): 315 [] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 105.40/105.49  ** KEPT (pick-wt=10): 316 [] hAPP(c_Message_Omsg_OKey,A)!=hAPP(c_Message_Omsg_OKey,B)|A=B.
% 105.40/105.49  ** 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).
% 105.40/105.49  ** KEPT (pick-wt=6): 318 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 105.40/105.49  ** KEPT (pick-wt=7): 319 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 105.40/105.49  ** KEPT (pick-wt=8): 320 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_ONonce(B)|A=B.
% 105.40/105.49  ** KEPT (pick-wt=8): 321 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)).
% 105.40/105.49  ** KEPT (pick-wt=8): 322 [] hBOOL(hAPP(A,B))| -c_in(B,A,C).
% 105.40/105.49  ** KEPT (pick-wt=6): 323 [] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 105.40/105.49  ** KEPT (pick-wt=10): 324 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|A=C.
% 105.40/105.49  ** KEPT (pick-wt=10): 325 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OCrypt(C,D)|B=D.
% 105.40/105.49  ** 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).
% 105.40/105.49  ** KEPT (pick-wt=10): 327 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|A=C.
% 105.40/105.49  ** KEPT (pick-wt=10): 328 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OMPair(C,D)|B=D.
% 105.40/105.49  ** 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).
% 105.40/105.49  ** KEPT (pick-wt=6): 330 [] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 105.40/105.49  ** KEPT (pick-wt=7): 331 [] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 105.40/105.49  ** KEPT (pick-wt=7): 332 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 105.40/105.49  ** KEPT (pick-wt=7): 333 [] c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 105.40/105.49  ** KEPT (pick-wt=7): 334 [] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 105.40/105.49  ** KEPT (pick-wt=3): 335 [] v_A!=c_Message_Oagent_OServer.
% 105.40/105.49  ** 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).
% 105.40/105.49  ** KEPT (pick-wt=20): 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(A),c_Message_Omsg_ONonce(A)))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)| -c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 105.40/105.49  ** KEPT (pick-wt=6): 338 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 105.40/105.49  ** KEPT (pick-wt=6): 339 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 105.40/105.49  ** KEPT (pick-wt=6): 340 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 105.40/105.49  ** KEPT (pick-wt=6): 341 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 105.40/105.49  ** KEPT (pick-wt=6): 342 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 105.40/105.49  ** KEPT (pick-wt=6): 343 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 105.40/105.49  ** KEPT (pick-wt=6): 344 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 105.40/105.49  ** KEPT (pick-wt=7): 345 [] A=B| -c_fe_qual(A,B,C).
% 105.40/105.49    Following clause subsumed by 63 during input processing: 0 [copy,4,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 105.40/105.49    Following clause subsumed by 14 during input processing: 0 [copy,5,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 105.40/105.49    Following clause subsumed by 5 during input processing: 0 [copy,14,flip.1] c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 105.40/105.49    Following clause subsumed by 4 during input processing: 0 [copy,63,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 105.40/105.49    Following clause subsumed by 73 during input processing: 0 [copy,72,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 105.40/105.49    Following clause subsumed by 72 during input processing: 0 [copy,73,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 105.40/105.49    Following clause subsumed by 75 during input processing: 0 [copy,74,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 105.40/105.49    Following clause subsumed by 74 during input processing: 0 [copy,75,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 105.40/105.49    Following clause subsumed by 77 during input processing: 0 [copy,76,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OHash(B).
% 105.40/105.49    Following clause subsumed by 76 during input processing: 0 [copy,77,flip.1] c_Message_Omsg_OHash(A)!=hAPP(c_Message_Omsg_OKey,B).
% 105.40/105.49    Following clause subsumed by 79 during input processing: 0 [copy,78,flip.1] c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 105.40/105.49    Following clause subsumed by 78 during input processing: 0 [copy,79,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 105.40/105.49    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).
% 105.40/105.49    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).
% 105.40/105.50    Following clause subsumed by 248 during input processing: 0 [copy,95,flip.1] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),B)).
% 105.40/105.50    Following clause subsumed by 256 during input processing: 0 [copy,112,flip.1] hAPP(c_Public_OpublicKey(A),B)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(C),D)).
% 105.40/105.50  116 back subsumes 96.
% 105.40/105.50  116 back subsumes 84.
% 105.40/105.50  155 back subsumes 150.
% 105.40/105.50  175 back subsumes 139.
% 105.40/105.50    Following clause subsumed by 178 during input processing: 0 [copy,177,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 105.40/105.50    Following clause subsumed by 177 during input processing: 0 [copy,178,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 105.40/105.50    Following clause subsumed by 184 during input processing: 0 [copy,183,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 105.40/105.50    Following clause subsumed by 183 during input processing: 0 [copy,184,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 105.40/105.50    Following clause subsumed by 189 during input processing: 0 [copy,188,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 105.40/105.50    Following clause subsumed by 188 during input processing: 0 [copy,189,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 105.40/105.50    Following clause subsumed by 191 during input processing: 0 [copy,190,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 105.40/105.50    Following clause subsumed by 190 during input processing: 0 [copy,191,flip.1] c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 105.40/105.50    Following clause subsumed by 193 during input processing: 0 [copy,192,flip.1] c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 105.40/105.50    Following clause subsumed by 192 during input processing: 0 [copy,193,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 105.40/105.50    Following clause subsumed by 195 during input processing: 0 [copy,194,flip.1] c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 105.40/105.50    Following clause subsumed by 194 during input processing: 0 [copy,195,flip.1] c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 105.40/105.50  198 back subsumes 132.
% 105.40/105.50    Following clause subsumed by 231 during input processing: 0 [copy,209,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 105.40/105.50  209 back subsumes 101.
% 105.40/105.50    Following clause subsumed by 234 during input processing: 0 [copy,215,flip.1] hAPP(c_Public_OshrK,A)!=hAPP(c_Public_OpublicKey(B),C).
% 105.40/105.50    Following clause subsumed by 209 during input processing: 0 [copy,231,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 105.40/105.50    Following clause subsumed by 215 during input processing: 0 [copy,234,flip.1] hAPP(c_Public_OpublicKey(A),B)!=hAPP(c_Public_OshrK,C).
% 105.40/105.50    Following clause subsumed by 253 during input processing: 0 [copy,248,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OshrK,C).
% 105.40/105.50    Following clause subsumed by 248 during input processing: 0 [copy,253,flip.1] hAPP(c_Public_OshrK,A)!=c_Message_OinvKey(hAPP(c_Public_OpublicKey(B),C)).
% 105.40/105.50  253 back subsumes 95.
% 105.40/105.50    Following clause subsumed by 112 during input processing: 0 [copy,256,flip.1] c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))!=hAPP(c_Public_OpublicKey(C),D).
% 105.40/105.50  268 back subsumes 181.
% 105.40/105.50  292 back subsumes 186.
% 105.40/105.50    Following clause subsumed by 323 during input processing: 0 [copy,309,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 105.40/105.50    Following clause subsumed by 315 during input processing: 0 [copy,310,flip.1] c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 105.40/105.50    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).
% 105.40/105.50    Following clause subsumed by 310 during input processing: 0 [copy,315,flip.1] hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 105.40/105.50    Following clause subsumed by 330 during input processing: 0 [copy,318,flip.1] c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 105.40/105.50    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).
% 105.40/105.50    Following clause subsumed by 309 during input processing: 0 [copy,323,flip.1] c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 105.40/105.50    Following clause subsumed by 318 during input processing: 0 [copy,330,flip.1] c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 105.40/105.50    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).
% 105.40/105.50    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).
% 105.40/105.50    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).
% 105.40/105.50    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).
% 105.40/105.50  367 back subsumes 358.
% 105.40/105.50  
% 105.40/105.50  ------------> process sos:
% 105.40/105.50  ** KEPT (pick-wt=3): 368 [] A=A.
% 105.40/105.50  ** KEPT (pick-wt=25): 369 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=10): 370 [] 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)).
% 105.40/105.50  ---> New Demodulator: 371 [new_demod,370] 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)).
% 105.40/105.50  ** KEPT (pick-wt=20): 372 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=17): 373 [] 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)).
% 105.40/105.50  ---> New Demodulator: 374 [new_demod,373] 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)).
% 105.40/105.50  ** KEPT (pick-wt=25): 375 [] 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)).
% 105.40/105.50    Following clause subsumed by 372 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)).
% 105.40/105.50  ** KEPT (pick-wt=29): 376 [] 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)).
% 105.40/105.50  ---> New Demodulator: 377 [new_demod,376] 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)).
% 105.40/105.50  ** KEPT (pick-wt=23): 379 [copy,378,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).
% 105.40/105.50  ** KEPT (pick-wt=17): 380 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=20): 381 [] 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).
% 105.40/105.50  ---> New Demodulator: 382 [new_demod,381] 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).
% 105.40/105.50  ** KEPT (pick-wt=27): 383 [] 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)).
% 105.40/105.50  ** 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_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)).
% 105.40/105.50  ** KEPT (pick-wt=16): 385 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=28): 386 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=13): 387 [] 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).
% 105.40/105.50  ---> New Demodulator: 388 [new_demod,387] 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).
% 105.40/105.50  ** KEPT (pick-wt=12): 389 [] 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)).
% 105.40/105.50  ---> New Demodulator: 390 [new_demod,389] 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)).
% 105.40/105.50  ** KEPT (pick-wt=21): 391 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=14): 392 [] 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))).
% 105.40/105.50  ** KEPT (pick-wt=14): 393 [] 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))).
% 105.40/105.50  ** KEPT (pick-wt=13): 394 [] 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).
% 105.40/105.50  ---> New Demodulator: 395 [new_demod,394] 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).
% 105.40/105.50  ** KEPT (pick-wt=21): 396 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=12): 397 [] 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)).
% 105.40/105.50  ---> New Demodulator: 398 [new_demod,397] 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)).
% 105.40/105.50  ** KEPT (pick-wt=22): 399 [] 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)).
% 105.40/105.50  ---> New Demodulator: 400 [new_demod,399] 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)).
% 105.40/105.50    Following clause subsumed by 372 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)).
% 105.40/105.50  ** KEPT (pick-wt=19): 401 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=19): 402 [] c_lesse_quals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=19): 403 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=19): 404 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=16): 405 [] 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))).
% 105.40/105.50  ** KEPT (pick-wt=9): 406 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 105.40/105.50  ---> New Demodulator: 407 [new_demod,406] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 105.40/105.50  ** KEPT (pick-wt=9): 408 [] c_lesse_quals(c_Event_OinitState(A),c_Event_Oknows(A,B),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=10): 409 [] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 105.40/105.50  ---> New Demodulator: 410 [new_demod,409] c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oused(C).
% 105.40/105.50  ** KEPT (pick-wt=16): 411 [] 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)).
% 105.40/105.50  ---> New Demodulator: 412 [new_demod,411] 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)).
% 105.40/105.50  ** KEPT (pick-wt=14): 413 [] 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)).
% 105.40/105.50  ---> New Demodulator: 414 [new_demod,413] 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)).
% 105.40/105.50  ** KEPT (pick-wt=11): 415 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 105.40/105.50  ---> New Demodulator: 416 [new_demod,415] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 105.40/105.50  ** KEPT (pick-wt=11): 417 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 105.40/105.50  ---> New Demodulator: 418 [new_demod,417] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 105.40/105.50  ** KEPT (pick-wt=11): 419 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=11): 420 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 105.40/105.50  ---> New Demodulator: 421 [new_demod,420] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 105.40/105.50  ** KEPT (pick-wt=19): 423 [copy,422,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)).
% 105.40/105.50  ---> New Demodulator: 424 [new_demod,423] 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)).
% 105.40/105.50  ** KEPT (pick-wt=19): 426 [copy,425,demod,424] 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)).
% 105.40/105.50  ** KEPT (pick-wt=8): 427 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 105.40/105.50  ---> New Demodulator: 428 [new_demod,427] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 105.40/105.50  ** KEPT (pick-wt=8): 429 [] hAPP(c_COMBK(A,B,C),D)=A.
% 105.40/105.50  ---> New Demodulator: 430 [new_demod,429] hAPP(c_COMBK(A,B,C),D)=A.
% 105.40/105.50  ** KEPT (pick-wt=18): 431 [] 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)).
% 105.40/105.50  ---> New Demodulator: 432 [new_demod,431] 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)).
% 105.40/105.50  ** KEPT (pick-wt=35): 433 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=16): 434 [] 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))).
% 105.40/105.50  ---> New Demodulator: 435 [new_demod,434] 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))).
% 105.40/105.50  ** KEPT (pick-wt=23): 436 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=23): 437 [] 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)).
% 105.40/105.50  ---> New Demodulator: 438 [new_demod,437] 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)).
% 105.40/105.50    Following clause subsumed by 368 during input processing: 0 [demod,438] 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)).
% 105.40/105.50  ** KEPT (pick-wt=11): 439 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=11): 440 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=11): 441 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=10): 442 [] 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)).
% 105.40/105.50  ---> New Demodulator: 443 [new_demod,442] 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)).
% 105.40/105.50  ** KEPT (pick-wt=18): 444 [] 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)).
% 105.40/105.50  ---> New Demodulator: 445 [new_demod,444] 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)).
% 105.40/105.50  ** KEPT (pick-wt=18): 446 [] 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)).
% 105.40/105.50  ---> New Demodulator: 447 [new_demod,446] 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)).
% 105.40/105.50  ** KEPT (pick-wt=28): 449 [copy,448,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)).
% 105.40/105.50  ---> New Demodulator: 450 [new_demod,449] 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)).
% 105.40/105.50  ** KEPT (pick-wt=13): 451 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=18): 452 [] 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)).
% 105.40/105.50  ---> New Demodulator: 453 [new_demod,452] 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)).
% 105.40/105.50  ** KEPT (pick-wt=7): 454 [] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 105.40/105.50  ** KEPT (pick-wt=23): 455 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=22): 456 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=21): 457 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=22): 458 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=10): 459 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_OinitState(C),tc_Message_Omsg).
% 105.40/105.50  ** KEPT (pick-wt=9): 460 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_OinitState(A),tc_Message_Omsg).
% 105.40/105.50  ** KEPT (pick-wt=12): 461 [] 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).
% 105.40/105.50  ---> New Demodulator: 462 [new_demod,461] 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).
% 105.40/105.50  ** KEPT (pick-wt=15): 463 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=14): 464 [] c_List_Olast(c_List_Olist_OCons(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 105.40/105.50  ** KEPT (pick-wt=9): 465 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 105.40/105.50  ---> New Demodulator: 466 [new_demod,465] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 105.40/105.50  ** KEPT (pick-wt=6): 467 [] c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 105.40/105.50    Following clause subsumed by 467 during input processing: 0 [] c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 105.40/105.50  ** KEPT (pick-wt=21): 468 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=18): 469 [] 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).
% 105.40/105.50  ---> New Demodulator: 470 [new_demod,469] 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).
% 105.40/105.50  ** KEPT (pick-wt=13): 471 [] c_lesse_quals(c_List_Oset(c_List_Ofilter(A,B,C),C),c_List_Oset(B,C),tc_fun(C,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=12): 472 [] 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).
% 105.40/105.50  ---> New Demodulator: 473 [new_demod,472] 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).
% 105.40/105.50  ** KEPT (pick-wt=12): 474 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=13): 475 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=10): 476 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=21): 477 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=15): 478 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 105.40/105.50  ** KEPT (pick-wt=14): 479 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,B)).
% 105.40/105.50  ** KEPT (pick-wt=8): 480 [] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 105.40/105.50  ---> New Demodulator: 481 [new_demod,480] c_Message_OinvKey(hAPP(c_Public_OshrK,A))=hAPP(c_Public_OshrK,A).
% 105.40/105.50  ** KEPT (pick-wt=9): 482 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 105.40/105.50  ---> New Demodulator: 483 [new_demod,482] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 105.40/105.50  ** KEPT (pick-wt=21): 484 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=10): 486 [copy,485,demod,462] 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)).
% 105.40/105.50  ** KEPT (pick-wt=18): 487 [] 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.
% 105.40/105.50  ** KEPT (pick-wt=14): 488 [] 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).
% 105.40/105.50  ---> New Demodulator: 489 [new_demod,488] 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).
% 105.40/105.50  ** KEPT (pick-wt=11): 490 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_OinitState(B),tc_Message_Omsg).
% 105.40/105.50  ** KEPT (pick-wt=16): 491 [] c_in(A,c_List_Olists(B,C),tc_List_Olist(C))|c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(B,A,C),c_List_Oset(A,C),C).
% 105.40/105.50  ** KEPT (pick-wt=16): 492 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=16): 493 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=16): 494 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=13): 495 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=13): 496 [] 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).
% 105.40/105.50  ---> New Demodulator: 497 [new_demod,496] 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).
% 105.40/105.50  ** KEPT (pick-wt=21): 498 [] 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).
% 105.40/105.50  ---> New Demodulator: 499 [new_demod,498] 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).
% 105.40/105.50  ** KEPT (pick-wt=6): 500 [] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 105.40/105.50  ---> New Demodulator: 501 [new_demod,500] c_Message_Osynth(c_Message_Osynth(A))=c_Message_Osynth(A).
% 105.40/105.50  ** KEPT (pick-wt=13): 502 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=19): 503 [] 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).
% 105.40/105.50  ---> New Demodulator: 504 [new_demod,503] 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).
% 105.40/105.50    Following clause subsumed by 495 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)).
% 105.40/105.50  ** KEPT (pick-wt=10): 505 [] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 105.40/105.50  ---> New Demodulator: 506 [new_demod,505] c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg))=c_Message_OkeysFor(C).
% 105.40/105.50  ** KEPT (pick-wt=8): 507 [] c_lesse_quals(c_Message_Oanalz(A),c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=7): 508 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 105.40/105.50    Following clause subsumed by 508 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 105.40/105.50    Following clause subsumed by 508 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 105.40/105.50  ** KEPT (pick-wt=8): 509 [] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 105.40/105.50  ---> New Demodulator: 510 [new_demod,509] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 105.40/105.50  ** KEPT (pick-wt=8): 511 [] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 105.40/105.50  ---> New Demodulator: 512 [new_demod,511] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 105.40/105.50  ** KEPT (pick-wt=8): 513 [] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 105.40/105.50  ---> New Demodulator: 514 [new_demod,513] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 105.40/105.50  ** KEPT (pick-wt=8): 515 [] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 105.40/105.50  ---> New Demodulator: 516 [new_demod,515] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 105.40/105.50  ** KEPT (pick-wt=9): 517 [] c_Map_Omap__upds(A,B,c_List_Olist_ONil(C),D,C)=A.
% 105.40/105.50  ---> New Demodulator: 518 [new_demod,517] c_Map_Omap__upds(A,B,c_List_Olist_ONil(C),D,C)=A.
% 105.40/105.50  ** KEPT (pick-wt=9): 519 [] c_Map_Omap__upds(A,c_List_Olist_ONil(B),C,B,D)=A.
% 105.40/105.50  ---> New Demodulator: 520 [new_demod,519] c_Map_Omap__upds(A,c_List_Olist_ONil(B),C,B,D)=A.
% 105.40/105.50  ** KEPT (pick-wt=10): 521 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(A,B),tc_Message_Omsg).
% 105.40/105.50  ** KEPT (pick-wt=23): 522 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=3): 523 [] c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)).
% 105.40/105.50  ** KEPT (pick-wt=11): 524 [] c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(A),B))),c_Event_Oused(C),tc_Message_Omsg).
% 105.40/105.50  ** KEPT (pick-wt=13): 525 [] 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).
% 105.40/105.50  ---> New Demodulator: 526 [new_demod,525] 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).
% 105.40/105.50  ** KEPT (pick-wt=9): 527 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=12): 528 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 105.40/105.50  ---> New Demodulator: 529 [new_demod,528] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 105.40/105.50  ** KEPT (pick-wt=9): 530 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=14): 531 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=21): 532 [] 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).
% 105.40/105.50  ---> New Demodulator: 533 [new_demod,532] 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).
% 105.40/105.50  ** KEPT (pick-wt=13): 534 [] 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).
% 105.40/105.50  ---> New Demodulator: 535 [new_demod,534] 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).
% 105.40/105.50  ** KEPT (pick-wt=10): 536 [] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 105.40/105.50  ---> New Demodulator: 537 [new_demod,536] c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg))=c_Message_OkeysFor(B).
% 105.40/105.50  ** KEPT (pick-wt=15): 538 [] 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).
% 105.40/105.50  ---> New Demodulator: 539 [new_demod,538] 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).
% 105.40/105.50  ** KEPT (pick-wt=7): 540 [] c_lesse_quals(A,c_Message_Oparts(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=11): 541 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oknows(c_Message_Oagent_OSpy,C),tc_Message_Omsg).
% 105.40/105.50  ** KEPT (pick-wt=12): 542 [] 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).
% 105.40/105.50  ---> New Demodulator: 543 [new_demod,542] 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).
% 105.40/105.50  ** KEPT (pick-wt=7): 544 [] c_lesse_quals(A,c_Message_Oanalz(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=6): 545 [] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 105.40/105.50  ---> New Demodulator: 546 [new_demod,545] c_Message_Oanalz(c_Message_Oparts(A))=c_Message_Oparts(A).
% 105.40/105.50  ** KEPT (pick-wt=16): 547 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,C,D)|hBOOL(hAPP(A,B)).
% 105.40/105.50  ** KEPT (pick-wt=6): 548 [] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 105.40/105.50  ---> New Demodulator: 549 [new_demod,548] c_Message_Oparts(c_Message_Oparts(A))=c_Message_Oparts(A).
% 105.40/105.50  ** KEPT (pick-wt=4): 550 [] c_Message_Osynthp(A,c_Message_Omsg_OAgent(B)).
% 105.40/105.50    Following clause subsumed by 495 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)).
% 105.40/105.50  ** KEPT (pick-wt=14): 551 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=16): 552 [] 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).
% 105.40/105.50  ---> New Demodulator: 553 [new_demod,552] 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).
% 105.40/105.50    Following clause subsumed by 527 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)).
% 105.40/105.50  ** KEPT (pick-wt=13): 554 [] c_lesse_quals(c_List_Oset(A,B),c_List_Oset(c_List_Olist_OCons(C,A,B),B),tc_fun(B,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=9): 555 [] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 105.40/105.50  ---> New Demodulator: 556 [new_demod,555] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 105.40/105.50  ** KEPT (pick-wt=13): 557 [] c_lesse_quals(c_List_Oset(c_List_Odrop(A,B,C),C),c_List_Oset(B,C),tc_fun(C,tc_bool)).
% 105.40/105.50    Following clause subsumed by 368 during input processing: 0 [demod,504] c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 105.40/105.50    Following clause subsumed by 495 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)).
% 105.40/105.50  ** KEPT (pick-wt=21): 558 [] 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).
% 105.40/105.50  ** KEPT (pick-wt=7): 559 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 105.40/105.50  ** KEPT (pick-wt=5): 560 [] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 105.40/105.50  ---> New Demodulator: 561 [new_demod,560] c_Message_OinvKey(c_Message_OinvKey(A))=A.
% 105.40/105.50  ** KEPT (pick-wt=21): 562 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=13): 563 [] 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).
% 105.40/105.50  ---> New Demodulator: 564 [new_demod,563] 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).
% 105.40/105.50  ** KEPT (pick-wt=16): 565 [] 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).
% 105.40/105.50  ---> New Demodulator: 566 [new_demod,565] 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).
% 105.40/105.50  ** KEPT (pick-wt=7): 567 [] c_lesse_quals(A,c_Message_Osynth(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.40/105.50  ** KEPT (pick-wt=6): 568 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 105.40/105.50    Following clause subsumed by 568 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 105.40/105.50    Following clause subsumed by 495 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)).
% 105.40/105.50    Following clause subsumed by 508 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B).
% 105.40/105.50  ** KEPT (pick-wt=15): 569 [] 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).
% 105.40/105.50  ---> New Demodulator: 570 [new_demod,569] 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).
% 105.40/105.50    Following clause subsumed by 478 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).
% 105.40/105.50  ** KEPT (pick-wt=6): 571 [] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 105.40/105.50  ---> New Demodulator: 572 [new_demod,571] c_Message_Oanalz(c_Message_Oanalz(A))=c_Message_Oanalz(A).
% 105.40/105.50  ** KEPT (pick-wt=16): 573 [] c_List_Ofilter(A,c_List_Olist_OCons(B,C,D),D)=c_List_Ofilter(A,C,D)|hBOOL(hAPP(A,B)).
% 105.40/105.50  ** KEPT (pick-wt=13): 574 [] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 105.40/105.50  ---> New Demodulator: 575 [new_demod,574] c_List_Oset(c_List_Olist_OCons(A,B,C),C)=c_Set_Oinsert(A,c_List_Oset(B,C),C).
% 105.40/105.50  ** KEPT (pick-wt=8): 576 [] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 105.40/105.50  ---> New Demodulator: 577 [new_demod,576] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 105.40/105.50  ** KEPT (pick-wt=6): 578 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 105.40/105.50  ---> New Demodulator: 579 [new_demod,578] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 105.40/105.50  ** KEPT (pick-wt=14): 580 [] 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)).
% 105.40/105.50  ** KEPT (pick-wt=18): 581 [] hAPP(c_Map_Omap__upds(A,B,C,D,E),F)=hAPP(A,F)|c_in(F,c_List_Oset(B,D),D).
% 105.40/105.50  ** KEPT (pick-wt=9): 582 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 105.40/105.50  ---> New Demodulator: 583 [new_demod,582] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 105.40/105.50    Following clause subsumed by 368 during input processing: 0 [demod,583] c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 105.40/105.50    Following clause subsumed by 478 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).
% 105.40/105.50    Following clause subsumed by 478 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).
% 105.40/105.50    Following clause subsumed by 478 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).
% 105.40/105.50    Following clause subsumed by 478 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).
% 105.40/105.51  ** KEPT (pick-wt=8): 584 [] c_in(c_List_Olist_ONil(A),c_List_Olists(B,A),tc_List_Olist(A)).
% 105.40/105.51    Following clause subsumed by 478 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).
% 105.40/105.51  ** KEPT (pick-wt=6): 585 [] c_in(hAPP(c_Public_OshrK,A),c_Message_OsymKeys,tc_nat).
% 105.40/105.51  ** KEPT (pick-wt=9): 586 [] c_lesse_quals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(A),tc_fun(tc_Message_Omsg,tc_bool)).
% 105.40/105.51  ** KEPT (pick-wt=12): 587 [] c_in(c_List_Olast(A,B),c_List_Oset(A,B),B)|A=c_List_Olist_ONil(B).
% 105.40/105.51  ** KEPT (pick-wt=12): 588 [] c_in(c_List_Ohd(A,B),c_List_Oset(A,B),B)|A=c_List_Olist_ONil(B).
% 105.40/105.51  ** KEPT (pick-wt=10): 589 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(A),B)),c_Event_Oused(C),tc_Message_Omsg).
% 105.40/105.51  ** KEPT (pick-wt=9): 590 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg).
% 105.40/105.51    Following clause subsumed by 590 during input processing: 0 [] c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oused(B),tc_Message_Omsg).
% 105.40/105.51  ** KEPT (pick-wt=6): 591 [] c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)).
% 105.40/105.51  ** KEPT (pick-wt=4): 592 [] c_in(v_K,c_Message_OsymKeys,tc_nat).
% 105.40/105.51  ** KEPT (pick-wt=2): 593 [] class_Lattices_Oupper__semilattice(tc_nat).
% 105.40/105.51  ** KEPT (pick-wt=2): 594 [] class_Orderings_Opreorder(tc_nat).
% 105.40/105.51  ** KEPT (pick-wt=2): 595 [] class_Orderings_Olinorder(tc_nat).
% 105.40/105.51  ** KEPT (pick-wt=2): 596 [] class_Lattices_Olattice(tc_nat).
% 105.40/105.51  ** KEPT (pick-wt=2): 597 [] class_Orderings_Oorder(tc_nat).
% 105.40/105.51  ** KEPT (pick-wt=2): 598 [] class_Orderings_Obot(tc_nat).
% 105.40/105.51  ** KEPT (pick-wt=2): 599 [] class_HOL_Oord(tc_nat).
% 105.40/105.51  ** KEPT (pick-wt=2): 600 [] class_Lattices_Oupper__semilattice(tc_bool).
% 105.40/105.51  ** KEPT (pick-wt=2): 601 [] class_Lattices_Obounded__lattice(tc_bool).
% 105.40/105.51  ** KEPT (pick-wt=2): 602 [] class_Orderings_Opreorder(tc_bool).
% 105.40/105.51  ** KEPT (pick-wt=2): 603 [] class_Lattices_Olattice(tc_bool).
% 105.40/105.51  ** KEPT (pick-wt=2): 604 [] class_Orderings_Oorder(tc_bool).
% 105.40/105.51  ** KEPT (pick-wt=2): 605 [] class_Orderings_Obot(tc_bool).
% 105.40/105.51  ** KEPT (pick-wt=2): 606 [] class_HOL_Oord(tc_bool).
% 105.40/105.51  ** KEPT (pick-wt=4): 607 [] c_fe_qual(A,A,B).
% 105.40/105.51    Following clause subsumed by 368 during input processing: 0 [copy,368,flip.1] A=A.
% 105.40/105.51  368 back subsumes 361.
% 105.40/105.51  368 back subsumes 360.
% 105.40/105.51  368 back subsumes 357.
% 105.40/105.51    Following clause subsumed by 375 during input processing: 0 [copy,369,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)).
% 105.40/105.51  >>>> Starting back demodulation with 371.
% 105.40/105.51  ** KEPT (pick-wt=20): 608 [copy,372,flip.1,demod,583] 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)).
% 105.40/105.51  >>>> Starting back demodulation with 374.
% 105.40/105.51    Following clause subsumed by 369 during input processing: 0 [copy,375,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).
% 105.40/105.51  >>>> Starting back demodulation with 377.
% 105.40/105.51  ** KEPT (pick-wt=17): 609 [copy,380,flip.1,demod,583] 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).
% 105.40/105.51  >>>> Starting back demodulation with 382.
% 105.40/105.51      >> back demodulating 83 with 382.
% 105.40/105.51  ** KEPT (pick-wt=27): 611 [copy,383,flip.1,demod,583] 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)).
% 105.40/105.51  ** KEPT (pick-wt=27): 612 [copy,384,flip.1,demod,583] 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)).
% 105.40/105.51  ** KEPT (pick-wt=16): 613 [copy,385,flip.1,demod,583,583] 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).
% 105.40/105.51  >>>> Starting back demodulation with 388.
% 105.40/105.51  >>>> Starting back demodulation with 390.
% 105.40/105.51    Following clause subsumed by 478 during input processing: 0 [copy,391,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).
% 105.40/105.51  >>>> Starting back demodulation with 395.
% 105.40/105.51    Following clause subsumed by 478 during input processing: 0 [copy,396,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).
% 105.40/105.51  >>>> Starting back demodulation with 398.
% 105.40/105.51  >>>> Starting back demodulation with 400.
% 105.40/105.51  >>>> Starting back demodulation with 407.
% 105.40/105.51  >>>> Starting back demodulation with 410.
% 105.40/105.51  >>>> Starting back demodulation with 412.
% 105.40/105.51      >> back demodulating 402 with 412.
% 105.40/105.51      >> back demodulating 401 with 412.
% 105.40/105.51      >> back demodulating 356 with 412.
% 105.40/105.51      >> back demodulating 349 with 412.
% 105.40/105.51      >> back demodulating 123 with 412.
% 105.40/105.51      >> back demodulating 86 with 412.
% 105.40/105.51      >> back demodulating 26 with 412.
% 105.40/105.51  >>>> Starting back demodulation with 414.
% 105.40/105.51  >>>> Starting back demodulation with 416.
% 105.40/105.51      >> back demodulating 373 with 416.
% 105.40/105.51  >>>> Starting back demodulation with 418.
% 105.40/105.51  ** KEPT (pick-wt=11): 616 [copy,419,flip.1,demod,583] c_List_Oset(c_List_Olist_ONil(A),A)=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 105.40/105.51  >>>> Starting back demodulation with 421.
% 105.40/105.51  >>>> Starting back demodulation with 424.
% 105.40/105.51      >> back demodulating 376 with 424.
% 105.40/105.51  ** KEPT (pick-wt=19): 618 [copy,426,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)).
% 105.40/105.51  >>>> Starting back demodulation with 428.
% 105.40/105.51      >> back demodulating 355 with 428.
% 105.40/105.51      >> back demodulating 353 with 428.
% 105.40/105.51      >> back demodulating 352 with 428.
% 105.40/105.51      >> back demodulating 351 with 428.
% 105.40/105.51      >> back demodulating 350 with 428.
% 105.40/105.51      >> back demodulating 347 with 428.
% 105.40/105.51  >>>> Starting back demodulation with 430.
% 105.40/105.51  >>>> Starting back demodulation with 432.
% 105.40/105.51  ** KEPT (pick-wt=35): 619 [copy,433,flip.1,demod,583,583,438] 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)).
% 105.40/105.51  >>>> Starting back demodulation with 435.
% 105.40/105.51    Following clause subsumed by 436 during input processing: 0 [copy,436,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)).
% 105.40/105.51  >>>> Starting back demodulation with 438.
% 105.40/105.51      >> back demodulating 433 with 438.
% 105.40/105.51  >>>> Starting back demodulation with 443.
% 105.40/105.51      >> back demodulating 25 with 443.
% 105.40/105.51  >>>> Starting back demodulation with 445.
% 105.40/105.51  >>>> Starting back demodulation with 447.
% 105.40/105.51      >> back demodulating 54 with 447.
% 105.40/105.51  >>>> Starting back demodulation with 450.
% 105.40/105.51    Following clause subsumed by 451 during input processing: 0 [copy,451,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)).
% 105.40/105.51  >>>> Starting back demodulation with 453.
% 105.40/105.51  ** KEPT (pick-wt=7): 622 [copy,454,flip.1] c_Event_OinitState(A)=c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)).
% 105.40/105.51  ** KEPT (pick-wt=23): 623 [copy,455,flip.1,demod,583] 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)).
% 105.40/105.51  ** KEPT (pick-wt=22): 624 [copy,456,flip.1,demod,583] 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)).
% 105.40/105.51  >>>> Starting back demodulation with 462.
% 105.40/105.51      >> back demodulating 126 with 462.
% 105.40/105.51  >>>> Starting back demodulation with 466.
% 105.40/105.51    Following clause subsumed by 478 during input processing: 0 [copy,468,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).
% 105.40/105.51  >>>> Starting back demodulation with 470.
% 105.40/105.51  >>>> Starting back demodulation with 473.
% 105.40/105.51  ** KEPT (pick-wt=13): 625 [copy,475,flip.1,demod,583,583] c_List_Oset(c_List_Olist_ONil(A),A)=c_Set_Oimage(B,c_List_Oset(c_List_Olist_ONil(C),C),C,A).
% 105.40/105.51  475 back subsumes 385.
% 105.40/105.51    Following clause subsumed by 478 during input processing: 0 [copy,477,flip.1,demod,583,583] 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).
% 105.40/105.51    Following clause subsumed by 478 during input processing: 0 [copy,478,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 105.40/105.51  478 back subsumes 477.
% 105.40/105.51  478 back subsumes 468.
% 105.40/105.51  478 back subsumes 396.
% 105.40/105.51  478 back subsumes 391.
% 105.40/105.51  >>>> Starting back demodulation with 481.
% 105.40/105.51  >>>> Starting back demodulation with 483.
% 105.40/105.51  >>>> Starting back demodulation with 489.
% 105.40/105.51  495 back subsumes 463.
% 105.40/105.51  >>>> Starting back demodulation with 497.
% 105.40/105.51  >>>> Starting back demodulation with 499.
% 105.40/105.51  >>>> Starting back demodulation with 501.
% 105.40/105.51      >> back demodulating 176 with 501.
% 105.40/105.51  ** KEPT (pick-wt=13): 626 [copy,502,flip.1,demod,583,583] c_Set_Oimage(A,c_List_Oset(c_List_Olist_ONil(B),B),B,C)=c_List_Oset(c_List_Olist_ONil(C),C).
% 105.40/105.51  >>>> Starting back demodulation with 504.
% 105.40/105.51      >> back demodulating 97 with 504.
% 105.40/105.51  >>>> Starting back demodulation with 506.
% 105.40/105.51  >>>> Starting back demodulation with 510.
% 105.40/105.51  >>>> Starting back demodulation with 512.
% 105.40/105.51  >>>> Starting back demodulation with 514.
% 105.40/105.51  >>>> Starting back demodulation with 516.
% 105.40/105.51  >>>> Starting back demodulation with 518.
% 105.40/105.51  >>>> Starting back demodulation with 520.
% 105.40/105.51  >>>> Starting back demodulation with 526.
% 105.40/105.51  >>>> Starting back demodulation with 529.
% 105.40/105.51      >> back demodulating 365 with 529.
% 105.40/105.51      >> back demodulating 364 with 529.
% 105.40/105.51      >> back demodulating 363 with 529.
% 105.40/105.51      >> back demodulating 362 with 529.
% 105.40/105.51  >>>> Starting back demodulation with 533.
% 105.40/105.51  >>>> Starting back demodulation with 535.
% 105.40/105.51  >>>> Starting back demodulation with 537.
% 105.40/105.51  >>>> Starting back demodulation with 539.
% 105.40/105.51  >>>> Starting back demodulation with 543.
% 105.40/105.51  >>>> Starting back demodulation with 546.
% 105.40/105.51  >>>> Starting back demodulation with 549.
% 105.40/105.51      >> back demodulating 173 with 549.
% 105.40/105.51  >>>> Starting back demodulation with 553.
% 105.40/105.51  >>>> Starting back demodulation with 556.
% 105.40/105.51  >>>> Starting back demodulation with 561.
% 105.40/105.51  562 back subsumes 161.
% 105.40/105.51  >>>> Starting back demodulation with 564.
% 105.40/105.51  >>>> Starting back demodulation with 566.
% 105.40/105.51      >> back demodulating 154 with 566.
% 105.40/105.51  568 back subsumes 486.
% 105.40/105.51  >>>> Starting back demodulation with 570.
% 105.40/105.51  >>>> Starting back demodulation with 572.
% 105.40/105.51      >> back demodulating 174 with 572.
% 105.40/105.51  >>>> Starting back demodulation with 575.
% 105.40/105.51      >> back demodulating 554 with 575.
% 105.40/105.51      >> back demodulating 258 with 575.
% 105.40/105.51  >>>> Starting back demodulation with 577.
% 105.40/105.51  >>>> Starting back demodulation with 579.
% 105.40/105.51  >>>> Starting back demodulation with 583.
% 105.40/105.51      >> back demodulating 527 with 583.
% 105.40/105.51      >> back demodulating 502 with 583.
% 105.40/105.51      >> back demodulating 475 with 583.
% 105.40/105.51      >> back demodulating 458 with 583.
% 105.40/105.51      >> back demodulating 457 with 583.
% 105.40/105.51      >> back demodulating 456 with 583.
% 105.40/105.51      >> back demodulating 455 with 583.
% 105.40/105.51      >> back demodulating 442 with 583.
% 105.40/105.51      >> back demodulating 420 with 583.
% 105.40/105.51      >> back demodulating 419 with 583.
% 105.40/105.51      >> back demodulating 417 with 583.
% 105.40/105.51      >> back demodulating 415 with 583.
% 105.40/105.51      >> back demodulating 413 with 583.
% 105.40/105.51      >> back demodulating 384 with 583.
% 105.40/105.51      >> back demodulating 383 with 583.
% 105.40/105.51      >> back demodulating 381 with 583.
% 105.40/105.51      >> back demodulating 380 with 583.
% 105.40/105.51      >> back demodulating 372 with 583.
% 105.40/105.51      >> back demodulating 370 with 583.
% 105.40/105.51      >> back demodulating 272 with 583.
% 105.40/105.51      >> back demodulating 271 with 583.
% 105.40/105.51      >> back demodulating 250 with 583.
% 105.40/105.51      >> back demodulating 245 with 583.
% 105.40/105.51      >> back demodulating 231 with 583.
% 105.40/105.51      >> back demodulating 230 with 583.
% 105.40/105.51      >> back demodulating 228 with 583.
% 105.40/105.51      >> back demodulating 227 with 583.
% 105.40/105.51      >> back demodulating 226 with 583.
% 105.40/105.51      >> back demodulating 225 with 583.
% 105.40/105.51      >> back demodulating 216 with 583.
% 105.40/105.51      >> back demodulating 209 with 583.
% 105.40/105.51      >> back demodulating 166 with 583.
% 105.40/105.51      >> back demodulating 146 with 583.
% 105.40/105.51      >> back demodulating 145 with 583.
% 105.40/105.51      >> back demodulating 144 with 583.
% 105.40/105.51      >> back demodulating 129 with 583.
% 105.40/105.51      >> back demodulating 118 with 583.
% 105.40/105.51      >> back demodulating 111 with 583.
% 105.40/105.51      >> back demodulating 103 with 583.
% 105.40/105.51      >> back demodulating 88 with 583.
% 105.40/105.51      >> back demodulating 82 with 583.
% 105.40/105.51      >> back demodulating 56 with 583.
% 105.40/105.51      >> back demodulating 55 with 583.
% 105.40/105.51    Following clause subsumed by 653 during input processing: 0 [copy,608,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)).
% 105.40/105.51    Following clause subsumed by 652 during input processing: 0 [copy,609,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)).
% 105.40/105.51    Following clause subsumed by 649 during input processing: 0 [copy,611,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)).
% 105.40/105.51    Following clause subsumed by 648 during input processing: 0 [copy,612,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)).
% 105.40/105.51    Following clause subsumed by 626 during input processing: 0 [copy,613,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).
% 105.40/105.51    Following clause subsumed by 641 during input processing: 0 [copy,616,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_List_Oset(c_List_Olist_ONil(B),B).
% 105.40/105.51  ** KEPT (pick-wt=29): 680 [copy,617,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)).
% 105.40/105.51    Following clause subsumed by 426 during input processing: 0 [copy,618,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)).
% 105.40/105.51    Following clause subsumed by 620 during input processing: 0 [copy,619,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)).
% 105.40/105.51    Following clause subsumed by 619 during input processing: 0 [copy,620,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)).
% 105.40/105.51    Following clause subsumed by 454 during input processing: 0 [copy,622,flip.1] c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent))=c_Event_OinitState(A).
% 105.40/105.51    Following clause subsumed by 636 during input processing: 0 [copy,623,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)).
% 105.40/105.51    Following clause subsumed by 635 during input processing: 0 [copy,624,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)).
% 105.40/105.51    Following clause subsumed by 626 during input processing: 0 [copy,625,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).
% 105.40/105.51  625 back subsumes 613.
% 105.40/105.51    Following clause subsumed by 625 during input processing: 0 [copy,626,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).
% 105.40/105.51    Following clause subsumed by 624 during input processing: 0 [copy,635,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)).
% 105.40/105.51    Following clause subsumed by 623 during input processing: 0 [copy,636,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)).
% 105.40/105.51  >>>> Starting back demodulation with 638.
% 105.40/105.51      >> back demodulating 621 with 638.
% 105.40/105.51  >>>> Starting back demodulation with 640.
% 105.40/105.51    Following clause subsumed by 616 during input processing: 0 [copy,641,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 105.40/105.51  >>>> Starting back demodulation with 643.
% 105.40/105.51  >>>> Starting back demodulation with 645.
% 105.40/105.51  >>>> Starting back demodulation with 647.
% 105.40/105.51    Following clause subsumed by 612 during input processing: 0 [copy,648,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)).
% 105.40/105.51    Following clause subsumed by 611 during input processing: 0 [copy,649,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)).
% 105.40/105.51  >>>> Starting back demodulation with 651.
% 105.40/105.51      >> back demodulating 610 with 651.
% 106.72/106.84    Following clause subsumed by 609 during input processing: 0 [copy,652,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).
% 106.72/106.84    Following clause subsumed by 608 during input processing: 0 [copy,653,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)).
% 106.72/106.84  >>>> Starting back demodulation with 655.
% 106.72/106.84    Following clause subsumed by 667 during input processing: 0 [copy,660,flip.1] c_Set_Oinsert(A,B,C)!=c_List_Oset(c_List_Olist_ONil(C),C).
% 106.72/106.84    Following clause subsumed by 660 during input processing: 0 [copy,667,flip.1] c_List_Oset(c_List_Olist_ONil(A),A)!=c_Set_Oinsert(B,C,A).
% 106.72/106.84    Following clause subsumed by 617 during input processing: 0 [copy,680,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)).
% 106.72/106.84  
% 106.72/106.84  ======= end of input processing =======
% 106.72/106.84  
% 106.72/106.84  =========== start of search ===========
% 106.72/106.84  
% 106.72/106.84  
% 106.72/106.84  Resetting weight limit to 2.
% 106.72/106.84  
% 106.72/106.84  
% 106.72/106.84  Resetting weight limit to 2.
% 106.72/106.84  
% 106.72/106.84  sos_size=200
% 106.72/106.84  
% 106.72/106.84  Search stopped because sos empty.
% 106.72/106.84  
% 106.72/106.84  
% 106.72/106.84  Search stopped because sos empty.
% 106.72/106.84  
% 106.72/106.84  ============ end of search ============
% 106.72/106.84  
% 106.72/106.84  -------------- statistics -------------
% 106.72/106.84  clauses given                201
% 106.72/106.84  clauses generated         113985
% 106.72/106.84  clauses kept                 600
% 106.72/106.84  clauses forward subsumed     162
% 106.72/106.84  clauses back subsumed         22
% 106.72/106.84  Kbytes malloced            11718
% 106.72/106.84  
% 106.72/106.84  ----------- times (seconds) -----------
% 106.72/106.84  user CPU time          1.41          (0 hr, 0 min, 1 sec)
% 106.72/106.84  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 106.72/106.84  wall-clock time      107             (0 hr, 1 min, 47 sec)
% 106.72/106.84  
% 106.72/106.84  Process 3816 finished Wed Jul 27 06:10:37 2022
% 106.72/106.84  Otter interrupted
% 106.72/106.84  PROOF NOT FOUND
%------------------------------------------------------------------------------