TSTP Solution File: SWV906-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV906-1 : 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 13:21:45 EDT 2022
% Result : Unknown 106.48s 106.58s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV906-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 06:15:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 105.67/105.79 ----- Otter 3.3f, August 2004 -----
% 105.67/105.79 The process was started by sandbox2 on n022.cluster.edu,
% 105.67/105.79 Wed Jul 27 06:15:05 2022
% 105.67/105.79 The command was "./otter". The process ID is 9083.
% 105.67/105.79
% 105.67/105.79 set(prolog_style_variables).
% 105.67/105.79 set(auto).
% 105.67/105.79 dependent: set(auto1).
% 105.67/105.79 dependent: set(process_input).
% 105.67/105.79 dependent: clear(print_kept).
% 105.67/105.79 dependent: clear(print_new_demod).
% 105.67/105.79 dependent: clear(print_back_demod).
% 105.67/105.79 dependent: clear(print_back_sub).
% 105.67/105.79 dependent: set(control_memory).
% 105.67/105.79 dependent: assign(max_mem, 12000).
% 105.67/105.79 dependent: assign(pick_given_ratio, 4).
% 105.67/105.79 dependent: assign(stats_level, 1).
% 105.67/105.79 dependent: assign(max_seconds, 10800).
% 105.67/105.79 clear(print_given).
% 105.67/105.79
% 105.67/105.79 list(usable).
% 105.67/105.79 0 [] A=A.
% 105.67/105.79 0 [] hAPP(c_Map_Orestrict__map(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),t_a),V_D,t_a,T_b),v_x)=c_Option_Ooption_ONone(T_b).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b))=c_Map_Orestrict__map(V_m,V_D,T_a,T_b)|hBOOL(c_in(V_x,V_D,T_a)).
% 105.67/105.79 0 [] hAPP(c_Map_Orestrict__map(V_m,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,T_b),v_x)=c_Option_Ooption_ONone(T_b).
% 105.67/105.79 0 [] hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x)=hAPP(V_m,V_x)| -hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x)=c_Option_Ooption_ONone(T_b)|hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b)=c_Map_Orestrict__map(V_m,V_D,T_a,T_b)|hBOOL(c_in(V_x,V_D,T_a)).
% 105.67/105.79 0 [] c_Map_Orestrict__map(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_f,V_A,T_a,T_b),V_a,hAPP(V_f,V_a),T_a,tc_Option_Ooption(T_b)).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))| -hBOOL(c_in(V_x,V_D,T_a)).
% 105.67/105.79 0 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b)=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))| -hBOOL(c_in(V_x,V_D,T_a)).
% 105.67/105.79 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)).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 105.67/105.79 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] c_Option_Oset(c_Option_Ooption_ONone(T_a),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 105.67/105.79 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 105.67/105.79 0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 105.67/105.79 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 105.67/105.79 0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))| -hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] -class_HOL_Ominus(T_b)|hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 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)).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 105.67/105.79 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 105.67/105.79 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)).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 105.67/105.79 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 105.67/105.79 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 105.67/105.79 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 105.67/105.79 0 [] hAPP(c_Hoare__Mirabelle_OMGT,V_c)=c_Hoare__Mirabelle_Otriple_Otriple(c_fe_qual(tc_Com_Ostate),V_c,c_Natural_Oevalc(V_c),tc_Com_Ostate).
% 105.67/105.79 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 105.67/105.79 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)|hBOOL(c_in(V_x,V_B,T_a)).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b)!=V_f|hAPP(V_f,V_x)=V_y.
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 105.67/105.79 0 [] c_Map_Odom(V_f,T_a,T_b)!=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_f=c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),V_x,c_Option_Ooption_OSome(c_Map_Osko__Map__Xdom__e_q__singleton__conv__1__1(V_f,V_x,T_a,T_b),T_b),T_a,tc_Option_Ooption(T_b)).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b))=c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)| -hBOOL(c_in(V_x,V_D,T_a)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] -hBOOL(hAPP(V_b,V_s))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),V_t))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1)),V_s),V_s1))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s),V_s1))| -hBOOL(hAPP(V_b,V_s)).
% 105.67/105.79 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 105.67/105.79 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.
% 105.67/105.79 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.
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s0),V_s2))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s1),V_s2))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s0),V_s1))| -hBOOL(hAPP(V_b,V_s0)).
% 105.67/105.79 0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 105.67/105.79 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 105.67/105.79 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 105.67/105.79 0 [] V_xo=c_Option_Ooption_OSome(V_x,T_a)| -hBOOL(c_in(V_x,c_Option_Oset(V_xo,T_a),T_a)).
% 105.67/105.79 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 105.67/105.79 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 105.67/105.79 0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 105.67/105.79 0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 105.67/105.79 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))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -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)).
% 105.67/105.79 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -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)).
% 105.67/105.79 0 [] c_Finite__Set_Ofold1(V_f,V_A,T_a)=c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a).
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)| -hBOOL(c_in(V_i,V_A,T_a)).
% 105.67/105.79 0 [] c_lesse_quals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_a,V_A,T_a)).
% 105.67/105.79 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))| -hBOOL(c_in(V_x,V_B,T_a)).
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 105.67/105.79 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_fun=V_fun_H.
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_pname=V_pname_H.
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_vname=V_vname_H.
% 105.67/105.79 0 [] hAPP(V_Sup,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=V_top| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 0 [] hAPP(V_Inf,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=V_bot| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 105.67/105.79 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s),V_s))|hBOOL(hAPP(V_b,V_s)).
% 105.67/105.79 0 [] c_Collect(V_P,T_a)=V_P.
% 105.67/105.79 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 105.67/105.79 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 105.67/105.79 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a).
% 105.67/105.79 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 105.67/105.79 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 105.67/105.79 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 105.67/105.79 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(V_t,V_k,c_Option_Ooption_OSome(V_x,T_b),T_a,tc_Option_Ooption(T_b))!=c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)| -c_Finite__Set_Ofinite(V_A,T_a).
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 105.67/105.79 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 105.67/105.79 0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 105.67/105.79 0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 105.67/105.79 0 [] c_lesse_quals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_I,T_b))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 105.67/105.79 0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_fun=V_fun_H.
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 105.67/105.79 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 105.67/105.79 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)).
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 105.67/105.79 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 105.67/105.79 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 105.67/105.79 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)|V_a=V_c.
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 105.67/105.79 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 105.67/105.79 0 [] hAPP(V_m,V_a)!=c_Option_Ooption_ONone(T_b)| -hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a))|hAPP(V_m,V_a)=c_Option_Ooption_ONone(T_b).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.79 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 105.67/105.79 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 105.67/105.79 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 105.67/105.79 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 105.67/105.79 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b)=c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 105.67/105.79 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 105.67/105.79 0 [] -class_Orderings_Otop(T_b)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x)=c_Orderings_Otop__class_Otop(T_b).
% 105.67/105.79 0 [] c_Option_Oset(V_xo,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_xo=c_Option_Ooption_ONone(T_a).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] V_t=V_s| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)).
% 105.67/105.79 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)).
% 105.67/105.79 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.
% 105.67/105.79 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.
% 105.67/105.79 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_top| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 0 [] hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_bot| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 105.67/105.79 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 105.67/105.79 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 105.67/105.79 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 105.67/105.79 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 105.67/105.79 0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 105.67/105.79 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 105.67/105.79 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)).
% 105.67/105.79 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.
% 105.67/105.79 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.
% 105.67/105.79 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)).
% 105.67/105.79 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.
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.79 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(V_f,V_g,T_a,T_c,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a).
% 105.67/105.79 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| -hBOOL(c_in(V_a,V_A,T_a)).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a).
% 105.67/105.79 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)).
% 105.67/105.79 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|hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 105.67/105.79 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 105.67/105.79 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 105.67/105.79 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 105.67/105.79 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 105.67/105.79 0 [] c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a)=c_Set_Oinsert(V_y,c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),tc_fun(T_b,tc_bool)),T_b,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_b)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 105.67/105.79 0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)).
% 105.67/105.79 0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 105.67/105.79 0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] c_Map_Odom(c_Fun_Ofun__upd(V_f,V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_a,T_b),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_Map_Odom(V_f,T_a,T_b)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_f=c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a).
% 105.67/105.79 0 [] c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] hAPP(V_f,V_x)!=c_Option_Ooption_ONone(T_a)|c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),c_Set_Oinsert(V_x,V_A,T_b),tc_fun(T_b,tc_bool))=c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool)).
% 105.67/105.79 0 [] c_Map_Odom(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,tc_Option_Ooption(T_b)),T_a,T_b)=c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_a,T_b),T_a)|V_y=c_Option_Ooption_ONone(T_b).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(V_m,V_a,c_Option_Ooption_OSome(V_x,T_b),T_a,tc_Option_Ooption(T_b))!=c_Fun_Ofun__upd(V_n,V_a,c_Option_Ooption_OSome(V_y,T_b),T_a,tc_Option_Ooption(T_b))|V_x=V_y.
% 105.67/105.79 0 [] hAPP(c_Option_Othe(T_a),c_Option_Ooption_OSome(V_x,T_a))=V_x.
% 105.67/105.79 0 [] hAPP(V_t,V_k)!=c_Option_Ooption_OSome(V_x,T_a)|c_Fun_Ofun__upd(V_t,V_k,c_Option_Ooption_OSome(V_x,T_a),T_b,tc_Option_Ooption(T_a))=V_t.
% 105.67/105.79 0 [] hAPP(c_Fun_Ofun__upd(V_m,V_xa,c_Option_Ooption_OSome(V_x,T_a),T_aa,tc_Option_Ooption(T_a)),V_xa)=c_Option_Ooption_OSome(V_x,T_a).
% 105.67/105.79 0 [] c_Option_Ooption_OSome(V_xa,T_a)!=c_Option_Ooption_ONone(T_a).
% 105.67/105.79 0 [] c_Option_Ooption_OSome(V_a_H,T_a)!=c_Option_Ooption_ONone(T_a).
% 105.67/105.79 0 [] hAPP(V_m,V_x)!=c_Option_Ooption_OSome(V_y,T_a)|V_x=V_a|hAPP(c_Fun_Ofun__upd(V_m,V_a,c_Option_Ooption_OSome(V_b,T_a),T_b,tc_Option_Ooption(T_a)),V_x)=c_Option_Ooption_OSome(V_y,T_a).
% 105.67/105.79 0 [] hAPP(c_Fun_Ofun__upd(V_m,V_a,c_Option_Ooption_OSome(V_b,T_a),T_b,tc_Option_Ooption(T_a)),V_x)!=c_Option_Ooption_OSome(V_y,T_a)|hAPP(V_m,V_x)=c_Option_Ooption_OSome(V_y,T_a)|V_b=V_y.
% 105.67/105.79 0 [] hAPP(c_Fun_Ofun__upd(V_m,V_a,c_Option_Ooption_OSome(V_b,T_a),T_b,tc_Option_Ooption(T_a)),V_x)!=c_Option_Ooption_OSome(V_y,T_a)|hAPP(V_m,V_x)=c_Option_Ooption_OSome(V_y,T_a)|V_x=V_a.
% 105.67/105.79 0 [] V_b=V_y|hAPP(c_Fun_Ofun__upd(V_m,V_x,c_Option_Ooption_OSome(V_b,T_aa),T_a,tc_Option_Ooption(T_aa)),V_x)!=c_Option_Ooption_OSome(V_y,T_aa).
% 105.67/105.79 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_y,T_a).
% 105.67/105.79 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_a_H,T_a).
% 105.67/105.79 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OSKIP.
% 105.67/105.79 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 105.67/105.79 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 105.67/105.79 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 105.67/105.79 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 105.67/105.79 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 105.67/105.79 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 105.67/105.79 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=hAPP(c_Com_Ocom_OBODY,V_pname).
% 105.67/105.79 0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 105.67/105.79 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 105.67/105.79 0 [] hAPP(c_Com_Ocom_OBODY,V_pname)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 105.67/105.79 0 [] c_Com_Ocom_OSKIP!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a).
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a).
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)).
% 105.67/105.79 0 [] c_Map_Odom(c_COMBK(c_Option_Ooption_OSome(V_y,T_b),tc_Option_Ooption(T_b),T_a),T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)).
% 105.67/105.79 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] V_u=V_t| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)).
% 105.67/105.79 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)).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 105.67/105.79 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),V_s),V_t))|hBOOL(hAPP(V_b,V_s))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1)),V_s),V_s1))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),V_s1))|hBOOL(hAPP(V_b,V_s)).
% 105.67/105.79 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OAss(V_vname_H,V_fun_H).
% 105.67/105.79 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a)=V_f.
% 105.67/105.79 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x)=V_y.
% 105.67/105.79 0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b)=V_f.
% 105.67/105.79 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x)=V_y.
% 105.67/105.79 0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a)=V_f.
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun1=V_fun1_H.
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_com=V_com_H.
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun2=V_fun2_H.
% 105.67/105.79 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 105.67/105.79 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 105.67/105.79 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 105.67/105.79 0 [] c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a)=c_Set_Oimage(V_f,V_A,T_b,T_a)|hBOOL(c_in(V_x,V_A,T_b)).
% 105.67/105.79 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_fun=V_fun_H.
% 105.67/105.79 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_vname=V_vname_H.
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 105.67/105.79 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 105.67/105.79 0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_com=V_com_H.
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_fun=V_fun_H.
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_loc=V_loc_H.
% 105.67/105.79 0 [] hBOOL(c_in(V_x,c_Option_Oset(c_Option_Ooption_OSome(V_x,T_a),T_a),T_a)).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 105.67/105.79 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 105.67/105.79 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 105.67/105.79 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.79 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 105.67/105.79 0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s),V_t)).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 105.67/105.79 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)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 105.67/105.79 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 105.67/105.79 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 105.67/105.79 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 105.67/105.79 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_a,V_b,T_a).
% 105.67/105.79 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 105.67/105.79 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 105.67/105.79 0 [] c_The(hAPP(c_fe_qual(T_a),V_x),T_a)=V_x.
% 105.67/105.79 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 105.67/105.79 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 105.67/105.79 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 105.67/105.79 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)).
% 105.67/105.79 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).
% 105.67/105.79 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).
% 105.67/105.79 0 [] c_Com_Ocom_OAss(V_vname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 105.67/105.79 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 105.67/105.79 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),V_s),V_t))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),V_t))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 105.67/105.79 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)).
% 105.67/105.79 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)).
% 105.67/105.79 0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 105.67/105.79 0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 105.67/105.79 0 [] c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 105.67/105.79 0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 105.67/105.79 0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 105.67/105.79 0 [] c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 105.67/105.79 0 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 105.67/105.79 0 [] c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)).
% 105.67/105.79 0 [] c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))| -c_Com_OWT(V_c).
% 105.67/105.79 0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)).
% 105.67/105.79 0 [] c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))| -c_Com_OWT(V_c).
% 105.67/105.79 0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)).
% 105.67/105.79 0 [] hAPP(c_Hoare__Mirabelle_OMGT,v_c)=c_Hoare__Mirabelle_Otriple_Otriple(c_fe_qual(tc_Com_Ostate),v_c,c_Natural_Oevalc(v_c),tc_Com_Ostate).
% 105.67/105.79 0 [] c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),V_x,c_Option_Ooption_OSome(V_xa,T_b),T_a,tc_Option_Ooption(T_b)),T_a,T_b)=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.79 0 [] v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t)!=V_t| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.79 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)| -hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 105.67/105.79 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 105.67/105.79 0 [] -class_Orderings_Obot(T_b)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x)=c_Orderings_Obot__class_Obot(T_b).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 105.67/105.79 0 [] c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a).
% 105.67/105.79 0 [] c_Collect(hAPP(c_fe_qual(T_a),V_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.79 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)).
% 105.67/105.79 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 105.67/105.79 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.79 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 105.67/105.79 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))).
% 105.67/105.79 0 [] c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.79 0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)).
% 105.67/105.79 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 105.67/105.79 0 [] c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_x.
% 105.67/105.79 0 [] hAPP(V_Inf,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))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.80 0 [] hAPP(V_Sup,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))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 105.67/105.80 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)).
% 105.67/105.80 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)).
% 105.67/105.80 0 [] V_a=V_b| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)).
% 105.67/105.80 0 [] c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_x.
% 105.67/105.80 0 [] V_y=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)| -hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)).
% 105.67/105.80 0 [] V_b=V_a| -hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 105.67/105.80 0 [] c_Finite__Set_Ofold1(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 105.67/105.80 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 105.67/105.80 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).
% 105.67/105.80 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.80 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 105.67/105.80 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)).
% 105.67/105.80 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 105.67/105.80 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)).
% 105.67/105.80 0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Finite__Set_Ofinite(V_Procs,tc_Com_Opname)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.80 0 [] hAPP(V_m,V_a)!=c_Option_Ooption_OSome(V_b,T_a)|hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)).
% 105.67/105.80 0 [] c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn)).
% 105.67/105.80 0 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_P))| -c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Com_Ocom_OBODY,V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Com_Ocom_OBODY,V_pn),V_Q,T_a),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Com_Ocom_OBODY,V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 105.67/105.80 0 [] c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname).
% 105.67/105.80 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)).
% 105.67/105.80 0 [] c_Option_Oset(c_Option_Ooption_OSome(V_x,T_a),T_a)=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 105.67/105.80 0 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn))|hAPP(c_Com_Obody,V_pn)=c_Option_Ooption_ONone(tc_Com_Ocom).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),V_F,tc_Com_Ostate)| -c_lesse_quals(V_F,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))| -c_Com_OWT__bodies| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Com_OWT(V_c)|hBOOL(c_in(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(V_G),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname))| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.80 0 [] hAPP(c_Com_Obody,V_P)=c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(V_P),tc_Com_Ocom)| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_P)).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,V_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,V_pn)),V_G,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Com_OWT(V_c)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_sko__Hoare__Mirabelle__XMGF__lemma1__1(V_G))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 105.67/105.80 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)).
% 105.67/105.80 0 [] hAPP(c_Com_Obody,V_pn)!=c_Option_Ooption_OSome(V_b,tc_Com_Ocom)| -c_Com_OWT__bodies|c_Com_OWT(V_b).
% 105.67/105.80 0 [] c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a)=c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a).
% 105.67/105.80 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 105.67/105.80 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).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 105.67/105.80 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Com_OWT(V_c)| -c_Com_OWT__bodies| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.80 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.
% 105.67/105.80 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.
% 105.67/105.80 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.
% 105.67/105.80 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.
% 105.67/105.80 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a).
% 105.67/105.80 0 [] c_Option_Ooption_OSome(V_a,T_a)!=c_Option_Ooption_OSome(V_a_H,T_a)|V_a=V_a_H.
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ostate__not__singleton|V_x=V_xa.
% 105.67/105.80 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 105.67/105.80 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).
% 105.67/105.80 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 105.67/105.80 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)).
% 105.67/105.80 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).
% 105.67/105.80 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 105.67/105.80 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).
% 105.67/105.80 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)).
% 105.67/105.80 0 [] hAPP(V_f,V_x)!=c_Option_Ooption_OSome(V_y,T_a)|c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_b,T_a),T_b)=c_Map_Odom(V_f,T_b,T_a).
% 105.67/105.80 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.
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 105.67/105.80 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 105.67/105.80 0 [] hAPP(c_Com_Ocom_OBODY,V_pname)!=hAPP(c_Com_Ocom_OBODY,V_pname_H)|V_pname=V_pname_H.
% 105.67/105.80 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).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.80 0 [] c_Com_OWT__bodies.
% 105.67/105.80 0 [] c_Com_OWT(v_c).
% 105.67/105.80 0 [] hAPP(c_Com_Obody,v_pn)=c_Option_Ooption_OSome(v_y,tc_Com_Ocom).
% 105.67/105.80 0 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.80 0 [] -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.80 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 105.67/105.80 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 105.67/105.80 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 105.67/105.80 0 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 105.67/105.80 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 105.67/105.80 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 105.67/105.80 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 105.67/105.80 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 105.67/105.80 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 105.67/105.80 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 105.67/105.80 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 105.67/105.80 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 105.67/105.80 0 [] class_Orderings_Opreorder(tc_nat).
% 105.67/105.80 0 [] class_Orderings_Olinorder(tc_nat).
% 105.67/105.80 0 [] class_Lattices_Olattice(tc_nat).
% 105.67/105.80 0 [] class_Orderings_Oorder(tc_nat).
% 105.67/105.80 0 [] class_Orderings_Obot(tc_nat).
% 105.67/105.80 0 [] class_HOL_Ominus(tc_nat).
% 105.67/105.80 0 [] class_HOL_Oord(tc_nat).
% 105.67/105.80 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 105.67/105.80 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 105.67/105.80 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 105.67/105.80 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 105.67/105.80 0 [] class_Orderings_Opreorder(tc_bool).
% 105.67/105.80 0 [] class_Lattices_Olattice(tc_bool).
% 105.67/105.80 0 [] class_Orderings_Oorder(tc_bool).
% 105.67/105.80 0 [] class_Orderings_Otop(tc_bool).
% 105.67/105.80 0 [] class_Orderings_Obot(tc_bool).
% 105.67/105.80 0 [] class_HOL_Ominus(tc_bool).
% 105.67/105.80 0 [] class_HOL_Oord(tc_bool).
% 105.67/105.80 0 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1).
% 105.67/105.80 0 [] c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a)=hAPP(hAPP(V_P,V_R),V_Q).
% 105.67/105.80 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 105.67/105.80 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 105.67/105.80 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 105.67/105.80 end_of_list.
% 105.67/105.80
% 105.67/105.80 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 105.67/105.80
% 105.67/105.80 This ia a non-Horn set with equality. The strategy will be
% 105.67/105.80 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 105.67/105.80 deletion, with positive clauses in sos and nonpositive
% 105.67/105.80 clauses in usable.
% 105.67/105.80
% 105.67/105.80 dependent: set(knuth_bendix).
% 105.67/105.80 dependent: set(anl_eq).
% 105.67/105.80 dependent: set(para_from).
% 105.67/105.80 dependent: set(para_into).
% 105.67/105.80 dependent: clear(para_from_right).
% 105.67/105.80 dependent: clear(para_into_right).
% 105.67/105.80 dependent: set(para_from_vars).
% 105.67/105.80 dependent: set(eq_units_both_ways).
% 105.67/105.80 dependent: set(dynamic_demod_all).
% 105.67/105.80 dependent: set(dynamic_demod).
% 105.67/105.80 dependent: set(order_eq).
% 105.67/105.80 dependent: set(back_demod).
% 105.67/105.80 dependent: set(lrpo).
% 105.67/105.80 dependent: set(hyper_res).
% 105.67/105.80 dependent: set(unit_deletion).
% 105.67/105.80 dependent: set(factor).
% 105.67/105.80
% 105.67/105.80 ------------> process usable:
% 105.67/105.80 ** KEPT (pick-wt=16): 1 [] hAPP(c_Map_Orestrict__map(A,B,C,D),E)=hAPP(A,E)| -hBOOL(c_in(E,B,C)).
% 105.67/105.80 ** KEPT (pick-wt=39): 3 [copy,2,flip.1] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E),C,F,D,tc_Option_Ooption(E))=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,D,E),C,F,D,tc_Option_Ooption(E))| -hBOOL(c_in(C,B,D)).
% 105.67/105.80 ** KEPT (pick-wt=39): 4 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(A,B,C,D,tc_Option_Ooption(E)),F,D,E)=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(F,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E),B,C,D,tc_Option_Ooption(E))| -hBOOL(c_in(B,F,D)).
% 105.67/105.80 ** KEPT (pick-wt=17): 5 [] -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).
% 105.67/105.80 ** KEPT (pick-wt=17): 6 [] -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).
% 105.67/105.80 ** KEPT (pick-wt=17): 7 [] -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).
% 105.67/105.80 ** KEPT (pick-wt=17): 8 [] -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).
% 105.67/105.80 ** KEPT (pick-wt=23): 9 [] 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)).
% 105.67/105.80 Following clause subsumed by 9 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)).
% 105.67/105.80 ** KEPT (pick-wt=17): 10 [] -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).
% 105.67/105.80 ** KEPT (pick-wt=9): 11 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 105.67/105.80 ** KEPT (pick-wt=9): 12 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 105.67/105.80 Following clause subsumed by 10 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).
% 105.67/105.80 Following clause subsumed by 10 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).
% 105.67/105.80 ** KEPT (pick-wt=9): 13 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 105.67/105.80 ** KEPT (pick-wt=9): 14 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 105.67/105.80 ** KEPT (pick-wt=19): 15 [] 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)).
% 105.67/105.80 ** KEPT (pick-wt=6): 17 [copy,16,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 105.67/105.80 ** KEPT (pick-wt=8): 18 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 105.67/105.80 ** KEPT (pick-wt=11): 19 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 105.67/105.80 ** KEPT (pick-wt=11): 20 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 105.67/105.80 ** KEPT (pick-wt=20): 21 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 105.67/105.80 Following clause subsumed by 21 during input processing: 0 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 105.67/105.80 ** KEPT (pick-wt=9): 22 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 105.67/105.80 ** KEPT (pick-wt=14): 23 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 105.67/105.80 ** KEPT (pick-wt=18): 24 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 105.67/105.80 ** KEPT (pick-wt=8): 25 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 105.67/105.80 ** KEPT (pick-wt=20): 26 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 105.67/105.80 ** KEPT (pick-wt=20): 27 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 105.67/105.80 Following clause subsumed by 26 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 105.67/105.80 Following clause subsumed by 27 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))|hBOOL(c_in(D,A,C)).
% 105.67/105.80 ** KEPT (pick-wt=23): 28 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 105.67/105.80 Following clause subsumed by 28 during input processing: 0 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 105.67/105.80 ** KEPT (pick-wt=19): 29 [] -class_HOL_Ominus(A)|hAPP(c_HOL_Ominus__class_Ominus(B,C,tc_fun(t_a,A)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(B,v_x),hAPP(C,v_x),A).
% 105.67/105.80 ** KEPT (pick-wt=8): 30 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 105.67/105.80 ** KEPT (pick-wt=23): 31 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(c_in(D,C,E))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 105.67/105.80 ** KEPT (pick-wt=23): 32 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(c_in(B,D,E))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E).
% 105.67/105.80 ** KEPT (pick-wt=11): 33 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 105.67/105.80 ** KEPT (pick-wt=11): 34 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 105.67/105.80 ** KEPT (pick-wt=10): 35 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 105.67/105.80 ** KEPT (pick-wt=10): 36 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 105.67/105.80 ** KEPT (pick-wt=14): 37 [] -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).
% 105.67/105.80 ** KEPT (pick-wt=14): 38 [] -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).
% 105.67/105.80 Following clause subsumed by 17 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 105.67/105.80 ** KEPT (pick-wt=21): 39 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 105.67/105.80 Following clause subsumed by 39 during input processing: 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 105.67/105.80 ** KEPT (pick-wt=8): 40 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 105.67/105.80 ** KEPT (pick-wt=5): 41 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 105.67/105.80 ** KEPT (pick-wt=8): 42 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 105.67/105.80 ** KEPT (pick-wt=8): 43 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 105.67/105.80 ** KEPT (pick-wt=13): 44 [] c_Fun_Ofun__upd(A,B,C,D,E)!=A|hAPP(A,B)=C.
% 105.67/105.80 ** KEPT (pick-wt=11): 45 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A)=c_Orderings_Otop__class_Otop(A).
% 105.67/105.80 ** KEPT (pick-wt=32): 47 [copy,46,flip.2] c_Map_Odom(A,B,C)!=c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(C),tc_Option_Ooption(C),B),D,c_Option_Ooption_OSome(c_Map_Osko__Map__Xdom__e_q__singleton__conv__1__1(A,D,B,C),C),B,tc_Option_Ooption(C))=A.
% 105.67/105.80 ** KEPT (pick-wt=34): 48 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,D),E,c_Option_Ooption_ONone(D),C,tc_Option_Ooption(D))=c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C,D)| -hBOOL(c_in(E,B,C)).
% 105.67/105.80 ** KEPT (pick-wt=23): 49 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B)),C),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),E),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),C),E)).
% 105.67/105.80 ** KEPT (pick-wt=21): 50 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),B),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,C,E)),B),D)).
% 105.67/105.80 ** KEPT (pick-wt=21): 51 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))| -hBOOL(hAPP(A,D)).
% 105.67/105.80 ** KEPT (pick-wt=25): 52 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(B,A),c_Finite__Set_Olinorder__class_OMax(C,A),A)| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 105.67/105.80 ** KEPT (pick-wt=14): 53 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 105.67/105.80 ** KEPT (pick-wt=14): 54 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 105.67/105.80 ** KEPT (pick-wt=29): 55 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),E),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),C),E))| -hBOOL(hAPP(A,C)).
% 105.67/105.80 ** KEPT (pick-wt=9): 56 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 105.67/105.80 ** KEPT (pick-wt=9): 57 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 105.67/105.80 ** KEPT (pick-wt=8): 58 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 105.67/105.80 ** KEPT (pick-wt=12): 59 [] A=c_Option_Ooption_OSome(B,C)| -hBOOL(c_in(B,c_Option_Oset(A,C),C)).
% 105.67/105.80 ** KEPT (pick-wt=8): 60 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 105.67/105.80 ** KEPT (pick-wt=19): 61 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 105.67/105.80 ** KEPT (pick-wt=22): 62 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 105.67/105.80 ** KEPT (pick-wt=16): 63 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,c_Set_Oimage(C,D,E,B),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(D,E).
% 105.67/105.80 ** KEPT (pick-wt=31): 64 [] 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))| -hBOOL(c_in(B,A,C))| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 105.67/105.80 ** KEPT (pick-wt=31): 65 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(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)).
% 105.67/105.80 Following clause subsumed by 65 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(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)).
% 105.67/105.80 ** KEPT (pick-wt=9): 66 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 105.67/105.80 ** KEPT (pick-wt=17): 67 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(hAPP(B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A),A)| -hBOOL(c_in(C,D,E)).
% 105.67/105.80 ** KEPT (pick-wt=19): 68 [] c_lesse_quals(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 105.67/105.80 ** KEPT (pick-wt=21): 69 [] 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))| -hBOOL(c_in(A,D,C)).
% 105.67/105.80 ** KEPT (pick-wt=9): 70 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 105.67/105.80 ** KEPT (pick-wt=7): 71 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 105.67/105.80 ** KEPT (pick-wt=12): 72 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|C=F.
% 105.67/105.80 ** KEPT (pick-wt=12): 73 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|B=E.
% 105.67/105.80 ** KEPT (pick-wt=12): 74 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|A=D.
% 105.67/105.80 ** KEPT (pick-wt=18): 75 [] hAPP(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,C,B).
% 105.67/105.80 ** KEPT (pick-wt=18): 76 [] hAPP(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,C,I,B).
% 105.67/105.80 ** KEPT (pick-wt=5): 77 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 105.67/105.80 ** KEPT (pick-wt=11): 78 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 105.67/105.80 ** KEPT (pick-wt=8): 79 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 105.67/105.80 ** KEPT (pick-wt=10): 80 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 105.67/105.80 ** KEPT (pick-wt=10): 81 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 105.67/105.80 ** KEPT (pick-wt=7): 82 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 105.67/105.80 ** KEPT (pick-wt=15): 83 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Complete__Lattice_OSup__class_OSup(C,A),A).
% 105.67/105.80 ** KEPT (pick-wt=10): 84 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Otop__class_Otop(A).
% 105.67/105.80 ** KEPT (pick-wt=10): 85 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(A),B,A)=c_Orderings_Otop__class_Otop(A).
% 105.67/105.80 ** KEPT (pick-wt=8): 86 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 105.67/105.80 ** KEPT (pick-wt=14): 87 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B).
% 105.67/105.80 Following clause subsumed by 78 during input processing: 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 105.67/105.80 ** KEPT (pick-wt=8): 88 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 105.67/105.80 ** KEPT (pick-wt=16): 89 [] c_Fun_Ofun__upd(A,B,c_Option_Ooption_OSome(C,D),E,tc_Option_Ooption(D))!=c_COMBK(c_Option_Ooption_ONone(D),tc_Option_Ooption(D),E).
% 105.67/105.80 ** KEPT (pick-wt=22): 90 [] c_Finite__Set_Ofinite(hAPP(A,B),C)| -hBOOL(c_in(B,D,E))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,A,E,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(D,E).
% 105.67/105.80 ** KEPT (pick-wt=8): 91 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 105.67/105.80 ** KEPT (pick-wt=25): 92 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(c_in(E,A,C)).
% 105.67/105.80 ** KEPT (pick-wt=8): 93 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 105.67/105.80 ** KEPT (pick-wt=15): 94 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 105.67/105.80 ** KEPT (pick-wt=9): 95 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 105.67/105.80 ** KEPT (pick-wt=15): 96 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 105.67/105.80 ** KEPT (pick-wt=25): 97 [] c_lesse_quals(hAPP(A,B),C,tc_fun(D,tc_bool))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,A,F,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 105.67/105.80 ** KEPT (pick-wt=8): 98 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 105.67/105.80 ** KEPT (pick-wt=27): 99 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 105.67/105.80 ** KEPT (pick-wt=12): 100 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 105.67/105.80 ** KEPT (pick-wt=12): 101 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 105.67/105.80 ** KEPT (pick-wt=12): 102 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 105.67/105.80 ** KEPT (pick-wt=14): 103 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 105.67/105.80 Following clause subsumed by 103 during input processing: 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 105.67/105.80 ** KEPT (pick-wt=22): 104 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 105.67/105.80 ** KEPT (pick-wt=22): 105 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 105.67/105.80 ** KEPT (pick-wt=22): 106 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 105.67/105.80 ** KEPT (pick-wt=9): 107 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 105.67/105.80 ** KEPT (pick-wt=7): 108 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 105.67/105.80 ** KEPT (pick-wt=18): 109 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 105.67/105.80 ** KEPT (pick-wt=8): 110 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 105.67/105.80 ** KEPT (pick-wt=17): 111 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 105.67/105.80 ** KEPT (pick-wt=13): 112 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 105.67/105.80 ** KEPT (pick-wt=13): 113 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 105.67/105.80 ** KEPT (pick-wt=20): 114 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C)).
% 105.67/105.80 ** KEPT (pick-wt=8): 115 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 105.67/105.80 ** KEPT (pick-wt=25): 116 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(c_in(E,B,D)).
% 105.67/105.80 ** KEPT (pick-wt=14): 117 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)| -hBOOL(c_in(B,c_Map_Odom(A,D,C),D)).
% 105.67/105.80 ** KEPT (pick-wt=11): 118 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 105.67/105.81 ** KEPT (pick-wt=11): 119 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 105.67/105.81 ** KEPT (pick-wt=8): 120 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 105.67/105.81 Following clause subsumed by 77 during input processing: 0 [flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=6): 122 [copy,121,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=28): 123 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=11): 124 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A).
% 105.67/105.81 ** KEPT (pick-wt=11): 125 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 105.67/105.81 ** KEPT (pick-wt=12): 126 [] c_Option_Oset(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_Option_Ooption_ONone(B).
% 105.67/105.81 ** KEPT (pick-wt=22): 127 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=22): 128 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=10): 129 [] A=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),B),A)).
% 105.67/105.81 ** KEPT (pick-wt=16): 130 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 105.67/105.81 ** KEPT (pick-wt=9): 131 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 105.67/105.81 ** KEPT (pick-wt=9): 132 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 105.67/105.81 ** KEPT (pick-wt=7): 133 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 105.67/105.81 ** KEPT (pick-wt=13): 134 [] -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).
% 105.67/105.81 ** KEPT (pick-wt=13): 135 [] -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).
% 105.67/105.81 ** KEPT (pick-wt=18): 136 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,C,B).
% 105.67/105.81 ** KEPT (pick-wt=18): 137 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,C,I,B).
% 105.67/105.81 ** KEPT (pick-wt=12): 138 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 105.67/105.81 ** KEPT (pick-wt=8): 139 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 105.67/105.81 Following clause subsumed by 139 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 105.67/105.81 Following clause subsumed by 139 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 105.67/105.81 Following clause subsumed by 139 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 105.67/105.81 ** KEPT (pick-wt=15): 140 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=12): 141 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 105.67/105.81 ** KEPT (pick-wt=10): 142 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 105.67/105.81 ** KEPT (pick-wt=9): 143 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 105.67/105.81 Following clause subsumed by 139 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 105.67/105.81 ** KEPT (pick-wt=17): 144 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=17): 145 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=25): 146 [] c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D),D)| -c_Finite__Set_Ofinite(c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C).
% 105.67/105.81 ** KEPT (pick-wt=22): 147 [] 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| -hBOOL(c_in(A,B,C)).
% 105.67/105.81 ** KEPT (pick-wt=19): 148 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 105.67/105.81 ** KEPT (pick-wt=32): 149 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=18): 150 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=13): 151 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 105.67/105.81 Following clause subsumed by 151 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 105.67/105.81 ** KEPT (pick-wt=24): 152 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 105.67/105.81 ** KEPT (pick-wt=24): 153 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 105.67/105.81 ** KEPT (pick-wt=16): 154 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 105.67/105.81 ** KEPT (pick-wt=9): 155 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 105.67/105.81 ** KEPT (pick-wt=9): 156 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 105.67/105.81 ** KEPT (pick-wt=15): 157 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=15): 158 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=22): 159 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(c_in(A,D,C))|hBOOL(c_in(A,B,C))|B=D.
% 105.67/105.81 ** KEPT (pick-wt=11): 160 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 105.67/105.81 ** KEPT (pick-wt=35): 162 [copy,161,flip.1] c_Set_Oinsert(A,c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,F),F)=c_Set_Oimage(c_Fun_Ofun__upd(B,D,A,E,F),C,E,F)| -hBOOL(c_in(D,C,E)).
% 105.67/105.81 ** KEPT (pick-wt=20): 163 [] -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)).
% 105.67/105.81 Following clause subsumed by 163 during input processing: 0 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=10): 164 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 105.67/105.81 ** KEPT (pick-wt=16): 165 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 105.67/105.81 Following clause subsumed by 165 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 105.67/105.81 Following clause subsumed by 165 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 105.67/105.81 Following clause subsumed by 165 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 105.67/105.81 ** KEPT (pick-wt=17): 166 [] c_Map_Odom(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_COMBK(c_Option_Ooption_ONone(C),tc_Option_Ooption(C),B).
% 105.67/105.81 ** KEPT (pick-wt=28): 167 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)|c_HOL_Ominus__class_Ominus(c_Map_Odom(A,D,C),c_Set_Oinsert(B,E,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_Map_Odom(A,D,C),E,tc_fun(D,tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=22): 168 [] c_Fun_Ofun__upd(A,B,c_Option_Ooption_OSome(C,D),E,tc_Option_Ooption(D))!=c_Fun_Ofun__upd(F,B,c_Option_Ooption_OSome(G,D),E,tc_Option_Ooption(D))|C=G.
% 105.67/105.81 ** KEPT (pick-wt=18): 169 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|c_Fun_Ofun__upd(A,B,c_Option_Ooption_OSome(C,D),E,tc_Option_Ooption(D))=A.
% 105.67/105.81 ** KEPT (pick-wt=6): 170 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 105.67/105.81 Following clause subsumed by 170 during input processing: 0 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 105.67/105.81 ** KEPT (pick-wt=25): 171 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|B=E|hAPP(c_Fun_Ofun__upd(A,E,c_Option_Ooption_OSome(F,D),G,tc_Option_Ooption(D)),B)=c_Option_Ooption_OSome(C,D).
% 105.67/105.81 ** KEPT (pick-wt=25): 172 [] hAPP(c_Fun_Ofun__upd(A,B,c_Option_Ooption_OSome(C,D),E,tc_Option_Ooption(D)),F)!=c_Option_Ooption_OSome(G,D)|hAPP(A,F)=c_Option_Ooption_OSome(G,D)|C=G.
% 105.67/105.81 ** KEPT (pick-wt=25): 173 [] hAPP(c_Fun_Ofun__upd(A,B,c_Option_Ooption_OSome(C,D),E,tc_Option_Ooption(D)),F)!=c_Option_Ooption_OSome(G,D)|hAPP(A,F)=c_Option_Ooption_OSome(G,D)|F=B.
% 105.67/105.81 ** KEPT (pick-wt=18): 174 [] A=B|hAPP(c_Fun_Ofun__upd(C,D,c_Option_Ooption_OSome(A,E),F,tc_Option_Ooption(E)),D)!=c_Option_Ooption_OSome(B,E).
% 105.67/105.81 ** KEPT (pick-wt=6): 175 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 105.67/105.81 Following clause subsumed by 175 during input processing: 0 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 105.67/105.81 ** KEPT (pick-wt=5): 176 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=7): 177 [] c_Com_Ocom_OWhile(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 105.67/105.81 ** KEPT (pick-wt=8): 178 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCond(B,C,D).
% 105.67/105.81 ** KEPT (pick-wt=8): 179 [] c_Com_Ocom_OCond(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 105.67/105.81 ** KEPT (pick-wt=7): 180 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OAss(B,C).
% 105.67/105.81 ** KEPT (pick-wt=7): 181 [] c_Com_Ocom_OAss(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 105.67/105.81 ** KEPT (pick-wt=8): 182 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OLocal(B,C,D).
% 105.67/105.81 ** KEPT (pick-wt=7): 183 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OWhile(B,C).
% 105.67/105.81 ** KEPT (pick-wt=8): 184 [] c_Com_Ocom_OCall(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 105.67/105.81 ** KEPT (pick-wt=7): 185 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSemi(B,C).
% 105.67/105.81 ** KEPT (pick-wt=7): 186 [] c_Com_Ocom_OSemi(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 105.67/105.81 ** KEPT (pick-wt=8): 187 [] c_Com_Ocom_OLocal(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 105.67/105.81 ** KEPT (pick-wt=8): 188 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCall(B,C,D).
% 105.67/105.81 Following clause subsumed by 176 during input processing: 0 [flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=15): 189 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,D,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C).
% 105.67/105.81 ** KEPT (pick-wt=15): 190 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(D,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 105.67/105.81 ** KEPT (pick-wt=8): 191 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,B,C).
% 105.67/105.81 ** KEPT (pick-wt=11): 192 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=8): 193 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 105.67/105.81 ** KEPT (pick-wt=7): 194 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 105.67/105.81 ** KEPT (pick-wt=15): 195 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=17): 196 [] A=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),A))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),B)).
% 105.67/105.81 Following clause subsumed by 195 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)).
% 105.67/105.81 ** KEPT (pick-wt=13): 197 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 105.67/105.81 Following clause subsumed by 197 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 105.67/105.81 Following clause subsumed by 197 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 105.67/105.81 Following clause subsumed by 122 during input processing: 0 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=12): 198 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 105.67/105.81 ** KEPT (pick-wt=12): 199 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 105.67/105.81 ** KEPT (pick-wt=12): 200 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 105.67/105.81 ** KEPT (pick-wt=14): 201 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=14): 202 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=14): 203 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=25): 204 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),c_Finite__Set_Olinorder__class_OMin(C,A),A)| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=21): 205 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))|hBOOL(hAPP(D,B))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(D,E,A)),B),C)).
% 105.67/105.81 ** KEPT (pick-wt=21): 206 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E))|hBOOL(hAPP(A,D)).
% 105.67/105.81 ** KEPT (pick-wt=5): 208 [copy,207,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=14): 209 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 105.67/105.81 ** KEPT (pick-wt=14): 210 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 105.67/105.81 ** KEPT (pick-wt=14): 211 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 105.67/105.81 ** KEPT (pick-wt=7): 212 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 105.67/105.81 ** KEPT (pick-wt=13): 213 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(B,A),C,A)| -hBOOL(c_in(C,B,A)).
% 105.67/105.81 ** KEPT (pick-wt=15): 214 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|c_lesse_quals(B,C,A).
% 105.67/105.81 ** KEPT (pick-wt=15): 215 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 105.67/105.81 ** KEPT (pick-wt=28): 216 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=7): 217 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 105.67/105.81 ** KEPT (pick-wt=10): 218 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|B=D.
% 105.67/105.81 ** KEPT (pick-wt=10): 219 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|A=C.
% 105.67/105.81 ** KEPT (pick-wt=8): 220 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 105.67/105.81 ** KEPT (pick-wt=5): 221 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=20): 222 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 105.67/105.81 ** KEPT (pick-wt=12): 223 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|C=F.
% 105.67/105.81 ** KEPT (pick-wt=12): 224 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|B=E.
% 105.67/105.81 ** KEPT (pick-wt=12): 225 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|A=D.
% 105.67/105.81 ** KEPT (pick-wt=19): 226 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)),C).
% 105.67/105.81 ** KEPT (pick-wt=19): 227 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),D).
% 105.67/105.81 ** KEPT (pick-wt=11): 229 [copy,228,flip.2] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Orderings_Otop__class_Otop(A)=c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 105.67/105.81 ** KEPT (pick-wt=6): 231 [copy,230,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=7): 232 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 105.67/105.81 Following clause subsumed by 41 during input processing: 0 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A).
% 105.67/105.81 ** KEPT (pick-wt=15): 233 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 105.67/105.81 ** KEPT (pick-wt=15): 234 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 105.67/105.81 ** KEPT (pick-wt=16): 235 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,D)),B),C)).
% 105.67/105.81 ** KEPT (pick-wt=13): 236 [] -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).
% 105.67/105.81 ** KEPT (pick-wt=13): 237 [] -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).
% 105.67/105.81 ** KEPT (pick-wt=13): 238 [] -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).
% 105.67/105.81 ** KEPT (pick-wt=13): 239 [] -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).
% 105.67/105.81 Following clause subsumed by 236 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).
% 105.67/105.81 Following clause subsumed by 237 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).
% 105.67/105.81 ** KEPT (pick-wt=17): 240 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=17): 241 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=18): 242 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 105.67/105.81 ** KEPT (pick-wt=14): 243 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 105.67/105.81 ** KEPT (pick-wt=14): 244 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 105.67/105.81 ** KEPT (pick-wt=16): 245 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 105.67/105.81 Following clause subsumed by 245 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 105.67/105.81 Following clause subsumed by 245 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 105.67/105.81 Following clause subsumed by 245 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=18): 246 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=14): 247 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 105.67/105.81 ** KEPT (pick-wt=6): 248 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 105.67/105.81 ** KEPT (pick-wt=6): 249 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 105.67/105.81 ** KEPT (pick-wt=12): 250 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 105.67/105.81 Following clause subsumed by 247 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 105.67/105.81 Following clause subsumed by 250 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 105.67/105.81 Following clause subsumed by 231 during input processing: 0 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=15): 251 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 105.67/105.81 ** KEPT (pick-wt=15): 252 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 105.67/105.81 ** KEPT (pick-wt=18): 253 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 105.67/105.81 ** KEPT (pick-wt=16): 254 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),C,A)| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 105.67/105.81 ** KEPT (pick-wt=25): 255 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=19): 256 [] -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).
% 105.67/105.81 ** KEPT (pick-wt=19): 257 [] -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).
% 105.67/105.81 Following clause subsumed by 208 during input processing: 0 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=16): 258 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Finite__Set_Olinorder__class_OMax(C,A),A)| -hBOOL(c_in(B,C,A))| -c_Finite__Set_Ofinite(C,A).
% 105.67/105.81 ** KEPT (pick-wt=9): 259 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 105.67/105.81 ** KEPT (pick-wt=24): 260 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(D),B),C))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(E,D,A)),B),C)).
% 105.67/105.81 ** KEPT (pick-wt=13): 261 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(c_in(B,C,A)).
% 105.67/105.81 Following clause subsumed by 221 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 105.67/105.81 ** KEPT (pick-wt=10): 262 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 105.67/105.81 ** KEPT (pick-wt=21): 263 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,A)),B),C))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A))),B),C)).
% 105.67/105.81 ** KEPT (pick-wt=21): 264 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A))),B),C))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,A)),B),C)).
% 105.67/105.81 ** KEPT (pick-wt=7): 265 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,A,C)).
% 105.67/105.81 ** KEPT (pick-wt=7): 266 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,C,A)).
% 105.67/105.81 ** KEPT (pick-wt=8): 267 [] c_Com_OWT(c_Com_Ocom_OSemi(A,B))| -c_Com_OWT(B)| -c_Com_OWT(A).
% 105.67/105.81 ** KEPT (pick-wt=6): 268 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(A,B)).
% 105.67/105.81 ** KEPT (pick-wt=6): 269 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(B,A)).
% 105.67/105.81 ** KEPT (pick-wt=9): 270 [] c_Com_OWT(c_Com_Ocom_OCond(A,B,C))| -c_Com_OWT(C)| -c_Com_OWT(B).
% 105.67/105.81 ** KEPT (pick-wt=6): 271 [] c_Com_OWT(c_Com_Ocom_OWhile(A,B))| -c_Com_OWT(B).
% 105.67/105.81 ** KEPT (pick-wt=6): 272 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OWhile(B,A)).
% 105.67/105.81 ** KEPT (pick-wt=7): 273 [] c_Com_OWT(c_Com_Ocom_OLocal(A,B,C))| -c_Com_OWT(C).
% 105.67/105.81 ** KEPT (pick-wt=7): 274 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OLocal(B,C,A)).
% 105.67/105.81 ** KEPT (pick-wt=5): 275 [] v_sko__Hoare__Mirabelle__Xsingle__stateE__1(A)!=A| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.81 ** KEPT (pick-wt=21): 276 [] 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)| -hBOOL(c_in(E,D,C)).
% 105.67/105.81 ** KEPT (pick-wt=50): 277 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSemi(C,D),E,F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(F),tc_bool)),tc_Hoare__Mirabelle_Otriple(F)),F)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(G,D,E,F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(F),tc_bool)),tc_Hoare__Mirabelle_Otriple(F)),F)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,G,F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(F),tc_bool)),tc_Hoare__Mirabelle_Otriple(F)),F).
% 105.67/105.81 ** KEPT (pick-wt=11): 278 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 105.67/105.81 ** KEPT (pick-wt=11): 279 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A).
% 105.67/105.81 ** KEPT (pick-wt=27): 280 [] 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)).
% 105.67/105.81 ** KEPT (pick-wt=21): 281 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,C).
% 105.67/105.81 ** KEPT (pick-wt=21): 282 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,C).
% 105.67/105.81 ** KEPT (pick-wt=13): 283 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 105.67/105.81 ** KEPT (pick-wt=13): 284 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 105.67/105.81 ** KEPT (pick-wt=28): 285 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 105.67/105.81 ** KEPT (pick-wt=28): 286 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 105.67/105.81 ** KEPT (pick-wt=16): 287 [] A=B| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(C,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D),B)).
% 105.67/105.81 ** KEPT (pick-wt=21): 288 [] A=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)| -hBOOL(hAPP(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),A)).
% 105.67/105.81 ** KEPT (pick-wt=14): 289 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 105.67/105.81 ** KEPT (pick-wt=13): 290 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 105.67/105.81 ** KEPT (pick-wt=14): 292 [copy,291,flip.2] -class_Orderings_Oorder(A)|c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A).
% 105.67/105.81 ** KEPT (pick-wt=14): 293 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 105.67/105.81 ** KEPT (pick-wt=13): 294 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 105.67/105.81 ** KEPT (pick-wt=21): 295 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(c_in(B,C,D)).
% 105.67/105.81 ** KEPT (pick-wt=57): 296 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),B,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Finite__Set_Ofinite(B,tc_Com_Opname)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),B,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),B,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.82 ** KEPT (pick-wt=15): 297 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|hBOOL(c_in(B,c_Map_Odom(A,E,D),E)).
% 105.67/105.82 ** KEPT (pick-wt=9): 298 [] c_Com_OWT(c_Com_Ocom_OCall(A,B,C))| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,B)).
% 105.67/105.82 ** KEPT (pick-wt=9): 299 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,A))| -c_Com_OWT(c_Com_Ocom_OCall(B,A,C)).
% 105.67/105.82 ** KEPT (pick-wt=58): 300 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,B),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.82 ** KEPT (pick-wt=49): 301 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,hAPP(c_Com_Ocom_OBODY,C),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,hAPP(c_Com_Ocom_OBODY,C),D,E),A,tc_Hoare__Mirabelle_Otriple(E)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,C)),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E).
% 105.67/105.82 ** KEPT (pick-wt=39): 302 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,hAPP(c_Com_Ocom_OBODY,C),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,C)),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E).
% 105.67/105.82 ** KEPT (pick-wt=48): 303 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),A,tc_Com_Ostate)| -c_lesse_quals(A,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))| -c_Com_OWT__bodies| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.82 ** KEPT (pick-wt=26): 304 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,B),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Com_OWT(B)|hBOOL(c_in(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(A),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname))| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.82 ** KEPT (pick-wt=12): 306 [copy,305,flip.1] c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(A),tc_Com_Ocom)=hAPP(c_Com_Obody,A)| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,A)).
% 105.67/105.82 ** KEPT (pick-wt=43): 307 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,B)),A,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,B))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.82 ** KEPT (pick-wt=34): 308 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,B),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Com_OWT(B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_sko__Hoare__Mirabelle__XMGF__lemma1__1(A))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.82 ** KEPT (pick-wt=24): 309 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,C,tc_Hoare__Mirabelle_Otriple(D)),D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,C,D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(D),tc_bool)),tc_Hoare__Mirabelle_Otriple(D)),D).
% 105.67/105.82 ** KEPT (pick-wt=12): 310 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(D,B,tc_Hoare__Mirabelle_Otriple(C)),C).
% 105.67/105.82 ** KEPT (pick-wt=16): 311 [] 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)).
% 105.67/105.82 ** KEPT (pick-wt=10): 312 [] hAPP(c_Com_Obody,A)!=c_Option_Ooption_OSome(B,tc_Com_Ocom)| -c_Com_OWT__bodies|c_Com_OWT(B).
% 105.67/105.82 ** KEPT (pick-wt=12): 313 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 105.67/105.82 ** KEPT (pick-wt=9): 314 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 105.67/105.82 ** KEPT (pick-wt=22): 315 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,A),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Com_OWT(A)| -c_Com_OWT__bodies| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.82 ** KEPT (pick-wt=27): 316 [] 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.
% 105.67/105.82 ** KEPT (pick-wt=27): 317 [] 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.
% 105.67/105.82 ** KEPT (pick-wt=27): 318 [] 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.
% 105.67/105.82 ** KEPT (pick-wt=27): 319 [] 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.
% 105.67/105.82 ** KEPT (pick-wt=7): 320 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 105.67/105.82 ** KEPT (pick-wt=10): 321 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_OSome(C,B)|A=C.
% 105.67/105.82 ** KEPT (pick-wt=14): 322 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 105.67/105.82 ** KEPT (pick-wt=9): 323 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=16): 324 [] 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)).
% 105.67/105.82 ** KEPT (pick-wt=19): 325 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|c_Set_Oinsert(B,c_Map_Odom(A,E,D),E)=c_Map_Odom(A,E,D).
% 105.67/105.82 ** KEPT (pick-wt=18): 326 [] 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.
% 105.67/105.82 ** KEPT (pick-wt=20): 327 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,D,tc_Hoare__Mirabelle_Otriple(C)),C).
% 105.67/105.82 ** KEPT (pick-wt=11): 328 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 105.67/105.82 ** KEPT (pick-wt=10): 329 [] hAPP(c_Com_Ocom_OBODY,A)!=hAPP(c_Com_Ocom_OBODY,B)|A=B.
% 105.67/105.82 ** KEPT (pick-wt=20): 330 [] -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.82 ** KEPT (pick-wt=6): 331 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 105.67/105.82 ** KEPT (pick-wt=6): 332 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 105.67/105.82 ** KEPT (pick-wt=6): 333 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 105.67/105.82 ** KEPT (pick-wt=8): 334 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 105.67/105.82 ** KEPT (pick-wt=6): 335 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 105.67/105.82 ** KEPT (pick-wt=6): 336 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 105.67/105.82 ** KEPT (pick-wt=6): 337 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 105.67/105.82 ** KEPT (pick-wt=6): 338 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 105.67/105.82 ** KEPT (pick-wt=6): 339 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 105.67/105.82 ** KEPT (pick-wt=6): 340 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 105.67/105.82 ** KEPT (pick-wt=6): 341 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 105.67/105.82 ** KEPT (pick-wt=5): 342 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(A))| -class_Finite__Set_Ofinite_Ofinite(A).
% 105.67/105.82 ** KEPT (pick-wt=10): 343 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 105.67/105.82 Following clause subsumed by 220 during input processing: 0 [copy,18,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 105.67/105.82 Following clause subsumed by 259 during input processing: 0 [copy,22,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 105.67/105.82 Following clause subsumed by 193 during input processing: 0 [copy,25,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 105.67/105.82 Following clause subsumed by 88 during input processing: 0 [copy,30,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 105.67/105.82 Following clause subsumed by 93 during input processing: 0 [copy,40,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 105.67/105.82 Following clause subsumed by 58 during input processing: 0 [copy,42,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 105.67/105.82 Following clause subsumed by 120 during input processing: 0 [copy,43,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 105.67/105.82 Following clause subsumed by 42 during input processing: 0 [copy,58,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 105.67/105.82 Following clause subsumed by 107 during input processing: 0 [copy,66,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 105.67/105.82 Following clause subsumed by 95 during input processing: 0 [copy,70,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 105.67/105.82 Following clause subsumed by 194 during input processing: 0 [copy,71,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 105.67/105.82 Following clause subsumed by 115 during input processing: 0 [copy,79,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 105.67/105.82 Following clause subsumed by 232 during input processing: 0 [copy,82,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 105.67/105.82 Following clause subsumed by 98 during input processing: 0 [copy,86,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 105.67/105.82 Following clause subsumed by 30 during input processing: 0 [copy,88,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 105.67/105.82 ** KEPT (pick-wt=16): 349 [copy,89,flip.1] c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B)!=c_Fun_Ofun__upd(C,D,c_Option_Ooption_OSome(E,A),B,tc_Option_Ooption(A)).
% 105.67/105.82 Following clause subsumed by 110 during input processing: 0 [copy,91,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 105.67/105.82 Following clause subsumed by 40 during input processing: 0 [copy,93,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 105.67/105.82 Following clause subsumed by 70 during input processing: 0 [copy,95,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 105.67/105.82 Following clause subsumed by 86 during input processing: 0 [copy,98,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 105.67/105.82 Following clause subsumed by 66 during input processing: 0 [copy,107,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 105.67/105.82 Following clause subsumed by 212 during input processing: 0 [copy,108,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 105.67/105.82 Following clause subsumed by 91 during input processing: 0 [copy,110,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 105.67/105.82 Following clause subsumed by 79 during input processing: 0 [copy,115,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 105.67/105.82 Following clause subsumed by 43 during input processing: 0 [copy,120,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 105.67/105.82 157 back subsumes 149.
% 105.67/105.82 157 back subsumes 26.
% 105.67/105.82 Following clause subsumed by 175 during input processing: 0 [copy,170,flip.1] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 105.67/105.82 Following clause subsumed by 170 during input processing: 0 [copy,175,flip.1] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 105.67/105.82 Following clause subsumed by 183 during input processing: 0 [copy,177,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OWhile(B,C).
% 105.67/105.82 Following clause subsumed by 179 during input processing: 0 [copy,178,flip.1] c_Com_Ocom_OCond(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 105.67/105.82 Following clause subsumed by 178 during input processing: 0 [copy,179,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCond(B,C,D).
% 105.67/105.82 Following clause subsumed by 181 during input processing: 0 [copy,180,flip.1] c_Com_Ocom_OAss(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 105.67/105.82 Following clause subsumed by 180 during input processing: 0 [copy,181,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OAss(B,C).
% 105.67/105.82 Following clause subsumed by 187 during input processing: 0 [copy,182,flip.1] c_Com_Ocom_OLocal(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 105.67/105.82 Following clause subsumed by 177 during input processing: 0 [copy,183,flip.1] c_Com_Ocom_OWhile(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 105.67/105.82 Following clause subsumed by 188 during input processing: 0 [copy,184,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCall(B,C,D).
% 105.67/105.82 Following clause subsumed by 186 during input processing: 0 [copy,185,flip.1] c_Com_Ocom_OSemi(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 105.67/105.82 Following clause subsumed by 185 during input processing: 0 [copy,186,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSemi(B,C).
% 105.67/105.82 Following clause subsumed by 182 during input processing: 0 [copy,187,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OLocal(B,C,D).
% 105.67/105.82 Following clause subsumed by 184 during input processing: 0 [copy,188,flip.1] c_Com_Ocom_OCall(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 105.67/105.82 Following clause subsumed by 25 during input processing: 0 [copy,193,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 105.67/105.82 Following clause subsumed by 71 during input processing: 0 [copy,194,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 105.67/105.82 Following clause subsumed by 108 during input processing: 0 [copy,212,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 105.67/105.82 Following clause subsumed by 18 during input processing: 0 [copy,220,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 105.67/105.82 Following clause subsumed by 82 during input processing: 0 [copy,232,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 105.67/105.82 Following clause subsumed by 22 during input processing: 0 [copy,259,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 105.67/105.82 Following clause subsumed by 323 during input processing: 0 [copy,314,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 105.67/105.82 Following clause subsumed by 314 during input processing: 0 [copy,323,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 105.67/105.82 323 back subsumes 293.
% 105.67/105.82 Following clause subsumed by 89 during input processing: 0 [copy,349,flip.1] c_Fun_Ofun__upd(A,B,c_Option_Ooption_OSome(C,D),E,tc_Option_Ooption(D))!=c_COMBK(c_Option_Ooption_ONone(D),tc_Option_Ooption(D),E).
% 105.67/105.82
% 105.67/105.82 ------------> process sos:
% 105.67/105.82 ** KEPT (pick-wt=3): 373 [] A=A.
% 105.67/105.82 ** KEPT (pick-wt=15): 374 [] hAPP(c_Map_Orestrict__map(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),t_a),B,t_a,A),v_x)=c_Option_Ooption_ONone(A).
% 105.67/105.82 ---> New Demodulator: 375 [new_demod,374] hAPP(c_Map_Orestrict__map(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),t_a),B,t_a,A),v_x)=c_Option_Ooption_ONone(A).
% 105.67/105.82 ** KEPT (pick-wt=23): 376 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,D),E,c_Option_Ooption_ONone(D),C,tc_Option_Ooption(D))=c_Map_Orestrict__map(A,B,C,D)|hBOOL(c_in(E,B,C)).
% 105.67/105.82 ** KEPT (pick-wt=13): 377 [] hAPP(c_Map_Orestrict__map(A,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,B),v_x)=c_Option_Ooption_ONone(B).
% 105.67/105.82 ** KEPT (pick-wt=15): 378 [] hAPP(c_Map_Orestrict__map(A,B,C,D),E)=c_Option_Ooption_ONone(D)|hBOOL(c_in(E,B,C)).
% 105.67/105.82 ** KEPT (pick-wt=22): 379 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(A,B,C,D,tc_Option_Ooption(E)),F,D,E)=c_Map_Orestrict__map(A,F,D,E)|hBOOL(c_in(B,F,D)).
% 105.67/105.82 ** KEPT (pick-wt=22): 380 [] c_Map_Orestrict__map(A,c_Set_Oinsert(B,C,D),D,E)=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,C,D,E),B,hAPP(A,B),D,tc_Option_Ooption(E)).
% 105.67/105.82 ** KEPT (pick-wt=34): 382 [copy,381,flip.1] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E),C,F,D,tc_Option_Ooption(E))=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,D,E),C,F,D,tc_Option_Ooption(E)).
% 105.67/105.82 ---> New Demodulator: 383 [new_demod,382] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E),C,F,D,tc_Option_Ooption(E))=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,D,E),C,F,D,tc_Option_Ooption(E)).
% 105.67/105.82 ** KEPT (pick-wt=23): 384 [] 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)).
% 105.67/105.82 ---> New Demodulator: 385 [new_demod,384] 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)).
% 105.67/105.82 ** KEPT (pick-wt=11): 386 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=11): 387 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=11): 388 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=9): 390 [copy,389,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Option_Oset(c_Option_Ooption_ONone(A),A).
% 105.67/105.82 ---> New Demodulator: 391 [new_demod,390] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Option_Oset(c_Option_Ooption_ONone(A),A).
% 105.67/105.82 ** KEPT (pick-wt=18): 392 [] 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)).
% 105.67/105.82 ---> New Demodulator: 393 [new_demod,392] 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)).
% 105.67/105.82 ** KEPT (pick-wt=18): 394 [] 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)).
% 105.67/105.82 ---> New Demodulator: 395 [new_demod,394] 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)).
% 105.67/105.82 ** KEPT (pick-wt=28): 397 [copy,396,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)).
% 105.67/105.82 ---> New Demodulator: 398 [new_demod,397] 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)).
% 105.67/105.82 ** KEPT (pick-wt=13): 399 [] 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)).
% 105.67/105.82 ** KEPT (pick-wt=18): 400 [] 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)).
% 105.67/105.82 ---> New Demodulator: 401 [new_demod,400] 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)).
% 105.67/105.82 ** KEPT (pick-wt=11): 403 [copy,402,flip.1] c_Hoare__Mirabelle_Otriple_Otriple(c_fe_qual(tc_Com_Ostate),A,c_Natural_Oevalc(A),tc_Com_Ostate)=hAPP(c_Hoare__Mirabelle_OMGT,A).
% 105.67/105.82 ---> New Demodulator: 404 [new_demod,403] c_Hoare__Mirabelle_Otriple_Otriple(c_fe_qual(tc_Com_Ostate),A,c_Natural_Oevalc(A),tc_Com_Ostate)=hAPP(c_Hoare__Mirabelle_OMGT,A).
% 105.67/105.82 ** KEPT (pick-wt=24): 406 [copy,405,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))|hBOOL(c_in(A,C,D)).
% 105.67/105.82 ** KEPT (pick-wt=23): 407 [] 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)).
% 105.67/105.82 ** KEPT (pick-wt=28): 408 [] 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)).
% 105.67/105.82 ** KEPT (pick-wt=14): 409 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D)).
% 105.67/105.82 ** KEPT (pick-wt=18): 410 [] 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)).
% 105.67/105.82 ---> New Demodulator: 411 [new_demod,410] 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)).
% 105.67/105.82 ** KEPT (pick-wt=8): 412 [] hAPP(c_COMBK(A,B,C),D)=A.
% 105.67/105.82 ---> New Demodulator: 413 [new_demod,412] hAPP(c_COMBK(A,B,C),D)=A.
% 105.67/105.82 ** KEPT (pick-wt=17): 415 [copy,414,demod,391] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Option_Oset(c_Option_Ooption_ONone(B),B),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 105.67/105.82 ---> New Demodulator: 416 [new_demod,415] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Option_Oset(c_Option_Ooption_ONone(B),B),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 105.67/105.82 ** KEPT (pick-wt=8): 417 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 105.67/105.82 ---> New Demodulator: 418 [new_demod,417] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 105.67/105.82 ** KEPT (pick-wt=11): 420 [copy,419,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 105.67/105.82 ---> New Demodulator: 421 [new_demod,420] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 105.67/105.82 ** KEPT (pick-wt=13): 422 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),C))|hBOOL(hAPP(A,C)).
% 105.67/105.82 ** KEPT (pick-wt=5): 423 [] c_Collect(A,B)=A.
% 105.67/105.82 ---> New Demodulator: 424 [new_demod,423] c_Collect(A,B)=A.
% 105.67/105.82 ** KEPT (pick-wt=14): 425 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 105.67/105.82 ---> New Demodulator: 426 [new_demod,425] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=14): 427 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 105.67/105.82 ---> New Demodulator: 428 [new_demod,427] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=8): 429 [] hBOOL(c_in(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)).
% 105.67/105.82 ** KEPT (pick-wt=26): 430 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),F,G,D,E)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,F,G,D,E),B,C,D,E)|B=F.
% 105.67/105.82 ** KEPT (pick-wt=14): 431 [] hBOOL(c_in(A,c_Map_Odom(B,C,D),C))|hAPP(B,A)=c_Option_Ooption_ONone(D).
% 105.67/105.82 ** KEPT (pick-wt=17): 433 [copy,432,demod,391] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Option_Oset(c_Option_Ooption_ONone(A),A),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 105.67/105.82 ---> New Demodulator: 434 [new_demod,433] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Option_Oset(c_Option_Ooption_ONone(A),A),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 105.67/105.82 ** KEPT (pick-wt=17): 436 [copy,435,demod,391] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Option_Oset(c_Option_Ooption_ONone(B),B),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 105.67/105.82 ---> New Demodulator: 437 [new_demod,436] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Option_Oset(c_Option_Ooption_ONone(B),B),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 105.67/105.82 ** KEPT (pick-wt=18): 438 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E).
% 105.67/105.82 ---> New Demodulator: 439 [new_demod,438] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E).
% 105.67/105.82 ** KEPT (pick-wt=7): 440 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)).
% 105.67/105.82 Following clause subsumed by 373 during input processing: 0 [demod,391,391,418,391] c_Option_Oset(c_Option_Ooption_ONone(A),A)=c_Option_Oset(c_Option_Ooption_ONone(A),A).
% 105.67/105.82 ** KEPT (pick-wt=12): 442 [copy,441,demod,391,391] c_lesse_quals(c_Option_Oset(c_Option_Ooption_ONone(A),A),c_Option_Oset(c_Option_Ooption_ONone(A),A),tc_fun(A,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=14): 444 [copy,443,demod,391,391] c_HOL_Ominus__class_Ominus(c_Option_Oset(c_Option_Ooption_ONone(A),A),B,tc_fun(A,tc_bool))=c_Option_Oset(c_Option_Ooption_ONone(A),A).
% 105.67/105.82 ---> New Demodulator: 445 [new_demod,444] c_HOL_Ominus__class_Ominus(c_Option_Oset(c_Option_Ooption_ONone(A),A),B,tc_fun(A,tc_bool))=c_Option_Oset(c_Option_Ooption_ONone(A),A).
% 105.67/105.82 ** KEPT (pick-wt=11): 447 [copy,446,demod,391] c_Lattices_Oupper__semilattice__class_Osup(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),tc_fun(B,tc_bool))=A.
% 105.67/105.82 ---> New Demodulator: 448 [new_demod,447] c_Lattices_Oupper__semilattice__class_Osup(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),tc_fun(B,tc_bool))=A.
% 105.67/105.82 ** KEPT (pick-wt=11): 450 [copy,449,demod,391] c_Lattices_Oupper__semilattice__class_Osup(c_Option_Oset(c_Option_Ooption_ONone(A),A),B,tc_fun(A,tc_bool))=B.
% 105.67/105.82 ---> New Demodulator: 451 [new_demod,450] c_Lattices_Oupper__semilattice__class_Osup(c_Option_Oset(c_Option_Ooption_ONone(A),A),B,tc_fun(A,tc_bool))=B.
% 105.67/105.82 ** KEPT (pick-wt=11): 453 [copy,452,demod,391] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Option_Oset(c_Option_Ooption_ONone(B),B).
% 105.67/105.82 ** KEPT (pick-wt=11): 455 [copy,454,demod,391] c_HOL_Ominus__class_Ominus(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),tc_fun(B,tc_bool))=A.
% 105.67/105.82 ---> New Demodulator: 456 [new_demod,455] c_HOL_Ominus__class_Ominus(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),tc_fun(B,tc_bool))=A.
% 105.67/105.82 ** KEPT (pick-wt=6): 458 [copy,457,demod,391] c_Finite__Set_Ofinite(c_Option_Oset(c_Option_Ooption_ONone(A),A),A).
% 105.67/105.82 ** KEPT (pick-wt=9): 460 [copy,459,demod,391] c_lesse_quals(c_Option_Oset(c_Option_Ooption_ONone(A),A),B,tc_fun(A,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=22): 462 [copy,461,demod,391] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),tc_fun(C,tc_bool))=B|hBOOL(c_in(A,B,C)).
% 105.67/105.82 ** KEPT (pick-wt=9): 463 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=19): 465 [copy,464,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)).
% 105.67/105.82 ---> New Demodulator: 466 [new_demod,465] 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)).
% 105.67/105.82 ** KEPT (pick-wt=19): 468 [copy,467,demod,466] 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)).
% 105.67/105.82 ** KEPT (pick-wt=8): 469 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 105.67/105.82 Following clause subsumed by 469 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 105.67/105.82 Following clause subsumed by 469 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 105.67/105.82 ** KEPT (pick-wt=25): 470 [] 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)).
% 105.67/105.82 ** KEPT (pick-wt=27): 472 [copy,471,demod,391] c_Map_Odom(c_Fun_Ofun__upd(A,B,c_Option_Ooption_ONone(C),D,tc_Option_Ooption(C)),D,C)=c_HOL_Ominus__class_Ominus(c_Map_Odom(A,D,C),c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(D),D),D),tc_fun(D,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=14): 474 [copy,473,demod,391] c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),B,A)=c_Option_Oset(c_Option_Ooption_ONone(B),B).
% 105.67/105.82 ** KEPT (pick-wt=22): 475 [] c_Map_Odom(c_Fun_Ofun__upd(A,B,C,D,tc_Option_Ooption(E)),D,E)=c_Set_Oinsert(B,c_Map_Odom(A,D,E),D)|C=c_Option_Ooption_ONone(E).
% 105.67/105.82 ** KEPT (pick-wt=8): 476 [] hAPP(c_Option_Othe(A),c_Option_Ooption_OSome(B,A))=B.
% 105.67/105.82 ---> New Demodulator: 477 [new_demod,476] hAPP(c_Option_Othe(A),c_Option_Ooption_OSome(B,A))=B.
% 105.67/105.82 ** KEPT (pick-wt=15): 478 [] hAPP(c_Fun_Ofun__upd(A,B,c_Option_Ooption_OSome(C,D),E,tc_Option_Ooption(D)),B)=c_Option_Ooption_OSome(C,D).
% 105.67/105.82 ---> New Demodulator: 479 [new_demod,478] hAPP(c_Fun_Ofun__upd(A,B,c_Option_Ooption_OSome(C,D),E,tc_Option_Ooption(D)),B)=c_Option_Ooption_OSome(C,D).
% 105.67/105.82 ** KEPT (pick-wt=15): 480 [] c_Map_Odom(c_COMBK(c_Option_Ooption_OSome(A,B),tc_Option_Ooption(B),C),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 105.67/105.82 ** KEPT (pick-wt=7): 481 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),A),A)).
% 105.67/105.82 ** KEPT (pick-wt=14): 483 [copy,482,demod,391,391] hAPP(c_Option_Oset(c_Option_Ooption_ONone(t_a),t_a),v_x)=c_in(v_x,c_Option_Oset(c_Option_Ooption_ONone(t_a),t_a),t_a).
% 105.67/105.82 ---> New Demodulator: 484 [new_demod,483] hAPP(c_Option_Oset(c_Option_Ooption_ONone(t_a),t_a),v_x)=c_in(v_x,c_Option_Oset(c_Option_Ooption_ONone(t_a),t_a),t_a).
% 105.67/105.82 ** KEPT (pick-wt=25): 485 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 105.67/105.83 ** KEPT (pick-wt=10): 486 [] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 105.67/105.83 ---> New Demodulator: 487 [new_demod,486] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 105.67/105.83 ** KEPT (pick-wt=10): 488 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 105.67/105.83 ---> New Demodulator: 489 [new_demod,488] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 105.67/105.83 Following clause subsumed by 373 during input processing: 0 [demod,487] A=A.
% 105.67/105.83 Following clause subsumed by 373 during input processing: 0 [demod,489] C=C.
% 105.67/105.83 Following clause subsumed by 373 during input processing: 0 [demod,487] A=A.
% 105.67/105.83 ** KEPT (pick-wt=14): 491 [copy,490,demod,391] c_HOL_Ominus__class_Ominus(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Option_Oset(c_Option_Ooption_ONone(B),B).
% 105.67/105.83 ---> New Demodulator: 492 [new_demod,491] c_HOL_Ominus__class_Ominus(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Option_Oset(c_Option_Ooption_ONone(B),B).
% 105.67/105.83 ** KEPT (pick-wt=9): 493 [] c_lesse_quals(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 105.67/105.83 ** KEPT (pick-wt=21): 494 [] c_Set_Oimage(c_Fun_Ofun__upd(A,B,C,D,E),F,D,E)=c_Set_Oimage(A,F,D,E)|hBOOL(c_in(B,F,D)).
% 105.67/105.83 ** KEPT (pick-wt=9): 495 [] hBOOL(c_in(A,c_Option_Oset(c_Option_Ooption_OSome(A,B),B),B)).
% 105.67/105.83 ** KEPT (pick-wt=6): 496 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 105.67/105.83 Following clause subsumed by 496 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 105.67/105.83 ** KEPT (pick-wt=31): 497 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 105.67/105.83 ** KEPT (pick-wt=8): 498 [] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 105.67/105.83 ---> New Demodulator: 499 [new_demod,498] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 105.67/105.83 ** KEPT (pick-wt=15): 500 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 105.67/105.83 Following clause subsumed by 500 during input processing: 0 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 105.67/105.83 ** KEPT (pick-wt=31): 502 [copy,501,demod,391] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C))).
% 105.67/105.83 ** KEPT (pick-wt=2): 503 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 105.67/105.83 ** KEPT (pick-wt=4): 504 [] c_Com_OWT(c_Com_Ocom_OAss(A,B)).
% 105.67/105.83 Following clause subsumed by 373 during input processing: 0 [demod,404] hAPP(c_Hoare__Mirabelle_OMGT,v_c)=hAPP(c_Hoare__Mirabelle_OMGT,v_c).
% 105.67/105.83 ** KEPT (pick-wt=25): 506 [copy,505,demod,391] c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),C,c_Option_Ooption_OSome(D,A),B,tc_Option_Ooption(A)),B,A)=c_Set_Oinsert(C,c_Option_Oset(c_Option_Ooption_ONone(B),B),B).
% 105.67/105.83 ** KEPT (pick-wt=17): 508 [copy,507,demod,391] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSKIP,B,C),c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(C)),tc_Hoare__Mirabelle_Otriple(C)),tc_Hoare__Mirabelle_Otriple(C)),C).
% 105.67/105.83 ** KEPT (pick-wt=26): 509 [] c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D)=c_Set_Oimage(A,c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C,D).
% 105.67/105.83 ---> New Demodulator: 510 [new_demod,509] c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D)=c_Set_Oimage(A,c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C,D).
% 105.67/105.83 ** KEPT (pick-wt=12): 512 [copy,511,demod,424,391] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(A),A),A).
% 105.67/105.83 ---> New Demodulator: 513 [new_demod,512] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(A),A),A).
% 105.67/105.83 Following clause subsumed by 469 during input processing: 0 [demod,391] hBOOL(c_in(A,c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B),B)).
% 105.67/105.83 ** KEPT (pick-wt=18): 515 [copy,514,demod,391,391] hBOOL(hAPP(c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B),B))).
% 105.67/105.83 ** KEPT (pick-wt=21): 517 [copy,516,demod,391,391] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Option_Oset(c_Option_Ooption_ONone(B),B),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(D),D),D).
% 105.67/105.83 ** KEPT (pick-wt=13): 519 [copy,518,demod,391] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),C),B)).
% 105.67/105.83 ** KEPT (pick-wt=11): 521 [copy,520,demod,391] c_The(c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B),B)=A.
% 105.67/105.83 ---> New Demodulator: 522 [new_demod,521] c_The(c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B),B)=A.
% 105.67/105.83 ** KEPT (pick-wt=27): 524 [copy,523,demod,391] 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_Option_Oset(c_Option_Ooption_ONone(D),D),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 105.67/105.83 ** KEPT (pick-wt=27): 526 [copy,525,demod,391] 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_Option_Oset(c_Option_Ooption_ONone(D),D),D),tc_fun(D,tc_bool)).
% 105.67/105.83 ** KEPT (pick-wt=11): 528 [copy,527,demod,391] c_Set_Ocontents(c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B),B)=A.
% 105.67/105.83 ---> New Demodulator: 529 [new_demod,528] c_Set_Ocontents(c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B),B)=A.
% 105.67/105.83 ** KEPT (pick-wt=12): 531 [copy,530,demod,391] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),C)=B.
% 105.67/105.83 ---> New Demodulator: 532 [new_demod,531] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),C)=B.
% 105.67/105.83 ** KEPT (pick-wt=20): 534 [copy,533,demod,391] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 105.67/105.83 ---> New Demodulator: 535 [new_demod,534] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 105.67/105.83 ** KEPT (pick-wt=17): 537 [copy,536,demod,391] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),B,tc_fun(C,tc_bool)).
% 105.67/105.83 ** KEPT (pick-wt=16): 539 [copy,538,demod,391,391] c_Set_Oimage(c_COMBK(A,B,C),c_Option_Oset(c_Option_Ooption_ONone(C),C),C,B)=c_Option_Oset(c_Option_Ooption_ONone(B),B).
% 105.67/105.83 ** KEPT (pick-wt=6): 540 [] c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname).
% 105.67/105.83 ** KEPT (pick-wt=22): 542 [copy,541,demod,391,391] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B)|D=c_Option_Oset(c_Option_Ooption_ONone(C),C).
% 105.67/105.83 ** KEPT (pick-wt=13): 544 [copy,543,demod,391] c_Option_Oset(c_Option_Ooption_OSome(A,B),B)=c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B).
% 105.67/105.83 ** KEPT (pick-wt=10): 545 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,A))|hAPP(c_Com_Obody,A)=c_Option_Ooption_ONone(tc_Com_Ocom).
% 105.67/105.83 ** KEPT (pick-wt=20): 547 [copy,546,flip.1] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 105.67/105.83 ---> New Demodulator: 548 [new_demod,547] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 105.67/105.83 ** KEPT (pick-wt=7): 549 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 105.67/105.83 ** KEPT (pick-wt=19): 551 [copy,550,flip.1] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 105.67/105.83 ---> New Demodulator: 552 [new_demod,551] 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).
% 105.67/105.83 ** KEPT (pick-wt=9): 554 [copy,553,demod,391] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(B)),tc_Hoare__Mirabelle_Otriple(B)),B).
% 105.67/105.83 ** KEPT (pick-wt=4): 555 [] c_Hoare__Mirabelle_Ostate__not__singleton|A=B.
% 105.67/105.83 ** KEPT (pick-wt=12): 556 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 105.67/105.83 ---> New Demodulator: 557 [new_demod,556] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 105.67/105.83 ** KEPT (pick-wt=15): 558 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 105.67/105.83 ** KEPT (pick-wt=14): 559 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 105.67/105.83 ---> New Demodulator: 560 [new_demod,559] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 105.67/105.83 Following clause subsumed by 558 during input processing: 0 [demod,391,391] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),C).
% 105.67/105.83 ** KEPT (pick-wt=13): 562 [copy,561,demod,391,391] c_Set_Oimage(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B,C)=c_Option_Oset(c_Option_Ooption_ONone(C),C).
% 105.67/105.83 ** KEPT (pick-wt=13): 564 [copy,563,demod,391,391] c_Option_Oset(c_Option_Ooption_ONone(A),A)=c_Set_Oimage(B,c_Option_Oset(c_Option_Ooption_ONone(C),C),C,A).
% 105.67/105.83 ** KEPT (pick-wt=1): 565 [] c_Hoare__Mirabelle_Ostate__not__singleton.
% 105.67/105.83 ** KEPT (pick-wt=1): 566 [] c_Com_OWT__bodies.
% 105.67/105.83 ** KEPT (pick-wt=2): 567 [] c_Com_OWT(v_c).
% 105.67/105.83 ** KEPT (pick-wt=7): 568 [] hAPP(c_Com_Obody,v_pn)=c_Option_Ooption_OSome(v_y,tc_Com_Ocom).
% 105.67/105.83 ---> New Demodulator: 569 [new_demod,568] hAPP(c_Com_Obody,v_pn)=c_Option_Ooption_OSome(v_y,tc_Com_Ocom).
% 105.67/105.83 ** KEPT (pick-wt=21): 571 [copy,570,demod,391,548] c_Hoare__Mirabelle_Ohoare__derivs(c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 105.67/105.83 ** KEPT (pick-wt=2): 572 [] class_Lattices_Oupper__semilattice(tc_nat).
% 105.67/105.83 ** KEPT (pick-wt=2): 573 [] class_Orderings_Opreorder(tc_nat).
% 105.67/105.83 ** KEPT (pick-wt=2): 574 [] class_Orderings_Olinorder(tc_nat).
% 105.67/105.83 ** KEPT (pick-wt=2): 575 [] class_Lattices_Olattice(tc_nat).
% 105.67/105.83 ** KEPT (pick-wt=2): 576 [] class_Orderings_Oorder(tc_nat).
% 105.67/105.83 ** KEPT (pick-wt=2): 577 [] class_Orderings_Obot(tc_nat).
% 105.67/105.83 ** KEPT (pick-wt=2): 578 [] class_HOL_Ominus(tc_nat).
% 105.67/105.83 ** KEPT (pick-wt=2): 579 [] class_HOL_Oord(tc_nat).
% 105.67/105.83 ** KEPT (pick-wt=2): 580 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 581 [] class_Lattices_Oupper__semilattice(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 582 [] class_Lattices_Obounded__lattice(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 583 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 584 [] class_Orderings_Opreorder(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 585 [] class_Lattices_Olattice(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 586 [] class_Orderings_Oorder(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 587 [] class_Orderings_Otop(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 588 [] class_Orderings_Obot(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 589 [] class_HOL_Ominus(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=2): 590 [] class_HOL_Oord(tc_bool).
% 105.67/105.83 ** KEPT (pick-wt=13): 591 [] c_COMBC(A,B,C,D,E,F)=hAPP(hAPP(A,C),B).
% 105.67/105.83 Following clause subsumed by 373 during input processing: 0 [demod,560] hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 105.67/105.83 Following clause subsumed by 549 during input processing: 0 [demod,513] hBOOL(hAPP(c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(A),A),A),B)).
% 105.67/105.83 Following clause subsumed by 373 during input processing: 0 [copy,373,flip.1] A=A.
% 105.67/105.83 373 back subsumes 358.
% 105.67/105.83 373 back subsumes 357.
% 105.67/105.83 373 back subsumes 356.
% 105.67/105.83 373 back subsumes 355.
% 105.67/105.83 >>>> Starting back demodulation with 375.
% 105.67/105.83 ** KEPT (pick-wt=13): 592 [copy,377,flip.1,demod,391] c_Option_Ooption_ONone(A)=hAPP(c_Map_Orestrict__map(B,c_Option_Oset(c_Option_Ooption_ONone(t_a),t_a),t_a,A),v_x).
% 105.67/105.83 ** KEPT (pick-wt=22): 593 [copy,380,flip.1] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,D),E,hAPP(A,E),C,tc_Option_Ooption(D))=c_Map_Orestrict__map(A,c_Set_Oinsert(E,B,C),C,D).
% 105.67/105.83 >>>> Starting back demodulation with 383.
% 105.67/105.83 >> back demodulating 4 with 383.
% 105.67/105.83 >> back demodulating 3 with 383.
% 105.67/105.83 >>>> Starting back demodulation with 385.
% 105.67/105.83 >>>> Starting back demodulation with 391.
% 105.67/105.83 >> back demodulating 382 with 391.
% 105.67/105.83 >> back demodulating 377 with 391.
% 105.67/105.83 >> back demodulating 371 with 391.
% 105.67/105.83 >> back demodulating 370 with 391.
% 105.67/105.83 >> back demodulating 369 with 391.
% 105.67/105.83 >> back demodulating 368 with 391.
% 105.67/105.83 >> back demodulating 367 with 391.
% 105.67/105.83 >> back demodulating 366 with 391.
% 105.67/105.83 >> back demodulating 330 with 391.
% 105.67/105.83 >> back demodulating 327 with 391.
% 105.67/105.83 >> back demodulating 326 with 391.
% 105.67/105.83 >> back demodulating 324 with 391.
% 105.67/105.83 >> back demodulating 323 with 391.
% 105.67/105.83 >> back demodulating 320 with 391.
% 105.67/105.83 >> back demodulating 319 with 391.
% 105.67/105.83 >> back demodulating 318 with 391.
% 105.67/105.83 >> back demodulating 317 with 391.
% 105.67/105.83 >> back demodulating 316 with 391.
% 105.67/105.83 >> back demodulating 315 with 391.
% 105.67/105.83 >> back demodulating 314 with 391.
% 105.67/105.83 >> back demodulating 311 with 391.
% 105.67/105.83 >> back demodulating 309 with 391.
% 105.67/105.83 >> back demodulating 308 with 391.
% 105.67/105.83 >> back demodulating 307 with 391.
% 105.67/105.83 >> back demodulating 304 with 391.
% 105.67/105.83 >> back demodulating 302 with 391.
% 105.67/105.83 >> back demodulating 301 with 391.
% 105.67/105.83 >> back demodulating 300 with 391.
% 105.67/105.83 >> back demodulating 294 with 391.
% 105.67/105.83 >> back demodulating 292 with 391.
% 105.67/105.83 >> back demodulating 290 with 391.
% 105.67/105.83 >> back demodulating 289 with 391.
% 105.67/105.83 >> back demodulating 288 with 391.
% 105.67/105.83 >> back demodulating 287 with 391.
% 105.67/105.83 >> back demodulating 286 with 391.
% 105.67/105.83 >> back demodulating 285 with 391.
% 105.67/105.83 >> back demodulating 284 with 391.
% 105.67/105.83 >> back demodulating 283 with 391.
% 105.67/105.83 >> back demodulating 282 with 391.
% 105.67/105.83 >> back demodulating 281 with 391.
% 105.67/105.83 >> back demodulating 280 with 391.
% 105.67/105.83 >> back demodulating 279 with 391.
% 105.67/105.83 >> back demodulating 277 with 391.
% 105.67/105.83 >> back demodulating 276 with 391.
% 105.67/105.83 >> back demodulating 253 with 391.
% 105.67/105.83 >> back demodulating 252 with 391.
% 105.67/105.83 >> back demodulating 251 with 391.
% 105.67/105.83 >> back demodulating 242 with 391.
% 105.67/105.83 >> back demodulating 229 with 391.
% 105.67/105.83 >> back demodulating 215 with 391.
% 105.67/105.83 >> back demodulating 214 with 391.
% 105.67/105.83 >> back demodulating 204 with 391.
% 105.67/105.83 >> back demodulating 166 with 391.
% 105.67/105.83 >> back demodulating 162 with 391.
% 105.67/105.83 >> back demodulating 148 with 391.
% 105.67/105.83 >> back demodulating 147 with 391.
% 105.67/105.83 >> back demodulating 145 with 391.
% 105.67/105.83 >> back demodulating 144 with 391.
% 105.67/105.83 >> back demodulating 143 with 391.
% 105.67/105.83 >> back demodulating 142 with 391.
% 105.67/105.83 >> back demodulating 141 with 391.
% 105.67/105.83 >> back demodulating 140 with 391.
% 105.67/105.83 >> back demodulating 139 with 391.
% 105.67/105.83 >> back demodulating 138 with 391.
% 105.67/105.83 >> back demodulating 137 with 391.
% 105.67/105.83 >> back demodulating 136 with 391.
% 105.67/105.83 >> back demodulating 126 with 391.
% 105.67/105.83 >> back demodulating 116 with 391.
% 105.67/105.83 >> back demodulating 92 with 391.
% 105.67/105.83 >> back demodulating 65 with 391.
% 105.67/105.83 >> back demodulating 64 with 391.
% 105.67/105.83 >> back demodulating 52 with 391.
% 105.67/105.83 >> back demodulating 48 with 391.
% 105.67/105.83 >> back demodulating 47 with 391.
% 105.67/105.83 >> back demodulating 24 with 391.
% 105.67/105.83 >>>> Starting back demodulation with 393.
% 105.67/105.83 >>>> Starting back demodulation with 395.
% 105.67/105.83 >> back demodulating 15 with 395.
% 105.67/105.83 >>>> Starting back demodulation with 398.
% 105.67/105.83 Following clause subsumed by 399 during input processing: 0 [copy,399,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)).
% 105.67/105.83 >>>> Starting back demodulation with 401.
% 105.67/105.83 >>>> Starting back demodulation with 404.
% 105.67/105.83 Following clause subsumed by 407 during input processing: 0 [copy,407,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)).
% 105.67/105.83 >>>> Starting back demodulation with 411.
% 105.67/105.83 >>>> Starting back demodulation with 413.
% 105.67/105.83 >>>> Starting back demodulation with 416.
% 105.67/105.83 >>>> Starting back demodulation with 418.
% 105.67/105.83 >> back demodulating 360 with 418.
% 105.67/105.83 >> back demodulating 353 with 418.
% 105.67/105.83 >> back demodulating 352 with 418.
% 105.67/105.83 >> back demodulating 350 with 418.
% 105.67/105.83 >> back demodulating 344 with 418.
% 105.67/105.83 >>>> Starting back demodulation with 421.
% 105.67/105.83 >>>> Starting back demodulation with 424.
% 105.67/105.83 >> back demodulating 20 with 424.
% 105.67/105.83 >> back demodulating 19 with 424.
% 105.67/105.83 >>>> Starting back demodulation with 426.
% 105.67/105.83 >>>> Starting back demodulation with 428.
% 105.67/105.83 >>>> Starting back demodulation with 434.
% 105.67/105.83 >>>> Starting back demodulation with 437.
% 105.67/105.83 >>>> Starting back demodulation with 439.
% 105.67/105.83 >>>> Starting back demodulation with 445.
% 105.67/105.83 >>>> Starting back demodulation with 448.
% 105.67/105.83 >>>> Starting back demodulation with 451.
% 105.67/105.83 ** KEPT (pick-wt=11): 670 [copy,453,flip.1] c_Option_Oset(c_Option_Ooption_ONone(A),A)=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 105.67/105.83 >>>> Starting back demodulation with 456.
% 105.67/105.83 460 back subsumes 442.
% 105.67/105.83 >>>> Starting back demodulation with 466.
% 105.67/105.83 ** KEPT (pick-wt=19): 671 [copy,468,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)).
% 105.67/105.83 ** KEPT (pick-wt=25): 672 [copy,470,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).
% 105.67/105.83 ** KEPT (pick-wt=27): 673 [copy,472,flip.1] c_HOL_Ominus__class_Ominus(c_Map_Odom(A,B,C),c_Set_Oinsert(D,c_Option_Oset(c_Option_Ooption_ONone(B),B),B),tc_fun(B,tc_bool))=c_Map_Odom(c_Fun_Ofun__upd(A,D,c_Option_Ooption_ONone(C),B,tc_Option_Ooption(C)),B,C).
% 105.67/105.83 ** KEPT (pick-wt=14): 674 [copy,474,flip.1] c_Option_Oset(c_Option_Ooption_ONone(A),A)=c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(B),tc_Option_Ooption(B),A),A,B).
% 105.67/105.83 >>>> Starting back demodulation with 477.
% 105.67/105.83 >>>> Starting back demodulation with 479.
% 105.67/105.83 >> back demodulating 174 with 479.
% 105.67/105.83 ** KEPT (pick-wt=15): 675 [copy,480,flip.1] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_Map_Odom(c_COMBK(c_Option_Ooption_OSome(B,C),tc_Option_Ooption(C),A),A,C).
% 105.67/105.83 >>>> Starting back demodulation with 484.
% 105.67/105.83 ** KEPT (pick-wt=25): 676 [copy,485,flip.1] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(B,C,D),A,D,tc_fun(E,tc_bool)).
% 105.67/105.83 >>>> Starting back demodulation with 487.
% 105.67/105.83 >>>> Starting back demodulation with 489.
% 105.67/105.83 >> back demodulating 478 with 489.
% 105.67/105.83 >>>> Starting back demodulation with 492.
% 105.67/105.83 ** KEPT (pick-wt=31): 677 [copy,497,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,tc_fun(D,tc_bool)).
% 105.67/105.83 >>>> Starting back demodulation with 499.
% 105.67/105.83 ** KEPT (pick-wt=25): 678 [copy,506,flip.1] c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B)=c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(C),tc_Option_Ooption(C),B),A,c_Option_Ooption_OSome(D,C),B,tc_Option_Ooption(C)),B,C).
% 105.67/105.83 >>>> Starting back demodulation with 510.
% 105.67/105.83 >> back demodulating 146 with 510.
% 105.67/105.83 >>>> Starting back demodulation with 513.
% 105.67/105.83 >> back demodulating 498 with 513.
% 105.67/105.83 >> back demodulating 343 with 513.
% 105.67/105.83 ** KEPT (pick-wt=21): 680 [copy,517,flip.1] c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B)=c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Option_Oset(c_Option_Ooption_ONone(C),C),D,C,tc_fun(B,tc_bool)),B).
% 105.67/105.83 >>>> Starting back demodulation with 522.
% 105.67/105.83 ** KEPT (pick-wt=27): 681 [copy,524,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(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)).
% 105.67/105.83 ** KEPT (pick-wt=27): 682 [copy,526,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_Option_Oset(c_Option_Ooption_ONone(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)).
% 105.67/105.83 >>>> Starting back demodulation with 529.
% 105.67/105.83 >>>> Starting back demodulation with 532.
% 105.67/105.83 >>>> Starting back demodulation with 535.
% 105.67/105.83 ** KEPT (pick-wt=17): 683 [copy,537,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 105.67/105.83 Following clause subsumed by 564 during input processing: 0 [copy,539,flip.1] c_Option_Oset(c_Option_Ooption_ONone(A),A)=c_Set_Oimage(c_COMBK(B,A,C),c_Option_Oset(c_Option_Ooption_ONone(C),C),C,A).
% 105.67/105.83 ** KEPT (pick-wt=13): 684 [copy,544,flip.1] c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B)=c_Option_Oset(c_Option_Ooption_OSome(A,B),B).
% 105.67/105.83 >>>> Starting back demodulation with 548.
% 105.67/105.83 >> back demodulating 509 with 548.
% 105.67/105.83 >> back demodulating 303 with 548.
% 105.67/105.83 >> back demodulating 296 with 548.
% 105.67/105.83 >>>> Starting back demodulation with 552.
% 105.67/105.83 >> back demodulating 295 with 552.
% 105.67/105.83 >>>> Starting back demodulation with 557.
% 105.67/105.83 Following clause subsumed by 558 during input processing: 0 [copy,558,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 105.67/105.83 >>>> Starting back demodulation with 560.
% 105.67/105.83 Following clause subsumed by 564 during input processing: 0 [copy,562,flip.1] c_Option_Oset(c_Option_Ooption_ONone(A),A)=c_Set_Oimage(B,c_Option_Oset(c_Option_Ooption_ONone(C),C),C,A).
% 105.67/105.83 562 back subsumes 539.
% 105.67/105.83 Following clause subsumed by 562 during input processing: 0 [copy,564,flip.1] c_Set_Oimage(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B,C)=c_Option_Oset(c_Option_Ooption_ONone(C),C).
% 105.67/105.83 565 back subsumes 555.
% 105.67/105.83 >>>> Starting back demodulation with 569.
% 105.67/105.83 ** KEPT (pick-wt=13): 688 [copy,591,flip.1] hAPP(hAPP(A,B),C)=c_COMBC(A,C,B,D,E,F).
% 105.67/105.83 Following clause subsumed by 598 during input processing: 0 [copy,592,flip.1] hAPP(c_Map_Orestrict__map(A,c_Option_Oset(c_Option_Ooption_ONone(t_a),t_a),t_a,B),v_x)=c_Option_Ooption_ONone(B).
% 105.67/105.83 Following clause subsumed by 380 during input processing: 0 [copy,593,flip.1] c_Map_Orestrict__map(A,c_Set_Oinsert(B,C,D),D,E)=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,C,D,E),B,hAPP(A,B),D,tc_Option_Ooption(E)).
% 105.67/105.83 >>>> Starting back demodulation with 597.
% 105.67/105.83 >> back demodulating 595 with 597.
% 105.67/105.83 >> back demodulating 594 with 597.
% 105.67/105.83 Following clause subsumed by 592 during input processing: 0 [copy,598,flip.1] c_Option_Ooption_ONone(A)=hAPP(c_Map_Orestrict__map(B,c_Option_Oset(c_Option_Ooption_ONone(t_a),t_a),t_a,A),v_x).
% 105.67/105.83 Following clause subsumed by 615 during input processing: 0 [copy,608,flip.1] c_Option_Oset(c_Option_Ooption_ONone(A),A)!=c_Set_Oinsert(B,C,A).
% 105.67/105.83 Following clause subsumed by 608 during input processing: 0 [copy,615,flip.1] c_Set_Oinsert(A,B,C)!=c_Option_Oset(c_Option_Ooption_ONone(C),C).
% 105.67/105.83 Following clause subsumed by 453 during input processing: 0 [copy,670,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Option_Oset(c_Option_Ooption_ONone(B),B).
% 105.67/105.83 Following clause subsumed by 468 during input processing: 0 [copy,671,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)).
% 105.67/105.83 Following clause subsumed by 470 during input processing: 0 [copy,672,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)).
% 105.67/105.83 Following clause subsumed by 472 during input processing: 0 [copy,673,flip.1] c_Map_Odom(c_Fun_Ofun__upd(A,B,c_Option_Ooption_ONone(C),D,tc_Option_Ooption(C)),D,C)=c_HOL_Ominus__class_Ominus(c_Map_Odom(A,D,C),c_Set_Oinsert(B,c_Option_Oset(c_Option_Ooption_ONone(D),D),D),tc_fun(D,tc_bool)).
% 105.67/105.83 Following clause subsumed by 474 during input processing: 0 [copy,674,flip.1] c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),B,A)=c_Option_Oset(c_Option_Ooption_ONone(B),B).
% 106.48/106.57 Following clause subsumed by 480 during input processing: 0 [copy,675,flip.1] c_Map_Odom(c_COMBK(c_Option_Ooption_OSome(A,B),tc_Option_Ooption(B),C),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 106.48/106.57 Following clause subsumed by 485 during input processing: 0 [copy,676,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 106.48/106.57 Following clause subsumed by 497 during input processing: 0 [copy,677,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 106.48/106.57 Following clause subsumed by 506 during input processing: 0 [copy,678,flip.1] c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),C,c_Option_Ooption_OSome(D,A),B,tc_Option_Ooption(A)),B,A)=c_Set_Oinsert(C,c_Option_Oset(c_Option_Ooption_ONone(B),B),B).
% 106.48/106.57 Following clause subsumed by 517 during input processing: 0 [copy,680,flip.1] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Option_Oset(c_Option_Ooption_ONone(B),B),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(D),D),D).
% 106.48/106.57 Following clause subsumed by 524 during input processing: 0 [copy,681,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_Option_Oset(c_Option_Ooption_ONone(D),D),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 106.48/106.57 Following clause subsumed by 526 during input processing: 0 [copy,682,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_Option_Oset(c_Option_Ooption_ONone(D),D),D),tc_fun(D,tc_bool)).
% 106.48/106.57 Following clause subsumed by 537 during input processing: 0 [copy,683,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(C),C),C),B,tc_fun(C,tc_bool)).
% 106.48/106.57 Following clause subsumed by 544 during input processing: 0 [copy,684,flip.1] c_Option_Oset(c_Option_Ooption_OSome(A,B),B)=c_Set_Oinsert(A,c_Option_Oset(c_Option_Ooption_ONone(B),B),B).
% 106.48/106.57 Following clause subsumed by 591 during input processing: 0 [copy,688,flip.1] c_COMBC(A,B,C,D,E,F)=hAPP(hAPP(A,C),B).
% 106.48/106.57
% 106.48/106.57 ======= end of input processing =======
% 106.48/106.57
% 106.48/106.57 =========== start of search ===========
% 106.48/106.57
% 106.48/106.57
% 106.48/106.57 Resetting weight limit to 2.
% 106.48/106.57
% 106.48/106.57
% 106.48/106.57 Resetting weight limit to 2.
% 106.48/106.57
% 106.48/106.57 sos_size=215
% 106.48/106.57
% 106.48/106.57 Search stopped in tp_alloc by max_mem option.
% 106.48/106.57
% 106.48/106.57 Search stopped in tp_alloc by max_mem option.
% 106.48/106.57
% 106.48/106.57 ============ end of search ============
% 106.48/106.57
% 106.48/106.57 -------------- statistics -------------
% 106.48/106.57 clauses given 174
% 106.48/106.57 clauses generated 60285
% 106.48/106.57 clauses kept 589
% 106.48/106.57 clauses forward subsumed 142
% 106.48/106.57 clauses back subsumed 10
% 106.48/106.57 Kbytes malloced 11718
% 106.48/106.57
% 106.48/106.57 ----------- times (seconds) -----------
% 106.48/106.57 user CPU time 0.81 (0 hr, 0 min, 0 sec)
% 106.48/106.57 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 106.48/106.57 wall-clock time 106 (0 hr, 1 min, 46 sec)
% 106.48/106.57
% 106.48/106.57 Process 9083 finished Wed Jul 27 06:16:51 2022
% 106.48/106.57 Otter interrupted
% 106.48/106.58 PROOF NOT FOUND
%------------------------------------------------------------------------------