%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV907-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n029.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 159.13s 159.26s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV907-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 06:05:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 158.55/158.64  ----- Otter 3.3f, August 2004 -----
% 158.55/158.64  The process was started by sandbox2 on n029.cluster.edu,
% 158.55/158.64  Wed Jul 27 06:05:29 2022
% 158.55/158.64  The command was "./otter".  The process ID is 24265.
% 158.55/158.64  
% 158.55/158.64  set(prolog_style_variables).
% 158.55/158.64  set(auto).
% 158.55/158.64     dependent: set(auto1).
% 158.55/158.64     dependent: set(process_input).
% 158.55/158.64     dependent: clear(print_kept).
% 158.55/158.64     dependent: clear(print_new_demod).
% 158.55/158.64     dependent: clear(print_back_demod).
% 158.55/158.64     dependent: clear(print_back_sub).
% 158.55/158.64     dependent: set(control_memory).
% 158.55/158.64     dependent: assign(max_mem, 12000).
% 158.55/158.64     dependent: assign(pick_given_ratio, 4).
% 158.55/158.64     dependent: assign(stats_level, 1).
% 158.55/158.64     dependent: assign(max_seconds, 10800).
% 158.55/158.64  clear(print_given).
% 158.55/158.64  
% 158.55/158.64  list(usable).
% 158.55/158.64  0 [] A=A.
% 158.55/158.64  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 158.55/158.64  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 158.55/158.64  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 158.55/158.64  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 158.55/158.64  0 [] c_Map_Omap__add(c_Fun_Ofun__upd(V_e1,V_m,hAPP(c_Option_Ooption_OSome(T_b),V_u1),T_a,tc_Option_Ooption(T_b)),V_e2,T_a,T_b)=c_Fun_Ofun__upd(c_Map_Omap__add(V_e1,V_e2,T_a,T_b),V_m,hAPP(c_Option_Ooption_OSome(T_b),V_u1),T_a,tc_Option_Ooption(T_b))|hBOOL(c_in(V_m,c_Map_Odom(V_e2,T_a,T_b),T_a)).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a)=hAPP(hAPP(hAPP(hAPP(V_f4,V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)).
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a)=hAPP(hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)).
% 158.55/158.64  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a)=V_f1.
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 158.55/158.64  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 158.55/158.64  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 158.55/158.64  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 158.55/158.64  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 158.55/158.64  0 [] c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(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_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_C,T_a,T_b).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 158.55/158.64  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 158.55/158.64  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 158.55/158.64  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 158.55/158.64  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 158.55/158.64  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 158.55/158.64  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 158.55/158.64  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a)=hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 158.55/158.64  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 158.55/158.64  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a)=hAPP(hAPP(V_f2,V_vname),V_fun).
% 158.55/158.64  0 [] -hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,c_Option_Ooption_ONone(t_b),t_a,t_b)))|hBOOL(hAPP(V_P,V_f1)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Map_Omap__add(V_m,c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),T_a,T_b)=V_m.
% 158.55/158.64  0 [] c_Map_Omap__add(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),V_m,T_a,T_b)=V_m.
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Option_Ooption_Ooption__rec(V_f1,V_f2,c_Option_Ooption_ONone(T_b),T_a,T_b)=V_f1.
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 158.55/158.64  0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 158.55/158.64  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 158.55/158.64  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 158.55/158.64  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(c_in(V_xa,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 158.55/158.64  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a)).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 158.55/158.64  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a).
% 158.55/158.64  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 158.55/158.64  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(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_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] hAPP(V_m,V_k)!=hAPP(c_Option_Ooption_OSome(T_a),V_x)|hAPP(V_n,V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)=hAPP(c_Option_Ooption_OSome(T_a),V_x).
% 158.55/158.64  0 [] hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(V_m,V_k)=c_Option_Ooption_ONone(T_a).
% 158.55/158.64  0 [] hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(V_n,V_k)=c_Option_Ooption_ONone(T_a).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 158.55/158.64  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 158.55/158.64  0 [] c_Fun_Ofun__upd(V_t,V_k,hAPP(c_Option_Ooption_OSome(T_b),V_x),T_a,tc_Option_Ooption(T_b))!=c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 158.55/158.64  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 158.55/158.64  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 158.55/158.64  0 [] c_Map_Odom(c_Map_Omap__add(V_m,V_n,T_a,T_b),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(V_n,T_a,T_b),c_Map_Odom(V_m,T_a,T_b),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B.
% 158.55/158.64  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 158.55/158.64  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 158.55/158.64  0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 158.55/158.64  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 158.55/158.64  0 [] c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(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)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(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(V_C,V_A,tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(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(V_C,V_A,tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)).
% 158.55/158.64  0 [] c_Map_Omap__comp(V_m,c_COMBK(c_Option_Ooption_ONone(T_c),tc_Option_Ooption(T_c),t_a),v_x,T_c,T_b,t_a)=c_Option_Ooption_ONone(T_b).
% 158.55/158.64  0 [] c_Map_Omap__comp(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_c),V_m,v_x,T_c,T_b,t_a)=c_Option_Ooption_ONone(T_b).
% 158.55/158.64  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 158.55/158.64  0 [] hBOOL(c_in(V_a,V_A,T_a))| -hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 158.55/158.64  0 [] hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_a,V_A,T_a))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 158.55/158.64  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 158.55/158.64  0 [] c_Map_Omap__add(V_m1,c_Map_Omap__add(V_m2,V_m3,T_a,T_b),T_a,T_b)=c_Map_Omap__add(c_Map_Omap__add(V_m1,V_m2,T_a,T_b),V_m3,T_a,T_b).
% 158.55/158.64  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 158.55/158.64  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.
% 158.55/158.64  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_x=V_y.
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a)=V_f1.
% 158.55/158.64  0 [] c_Set_Oimage(V_f,V_A,T_a,T_a)=V_A| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B.
% 158.55/158.64  0 [] c_Option_Omap(V_f,V_opt,T_b,T_a)!=c_Option_Ooption_ONone(T_a)|V_opt=c_Option_Ooption_ONone(T_b).
% 158.55/158.64  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a)!=c_Orderings_Otop__class_Otop(T_a)|V_B=c_Orderings_Otop__class_Otop(T_a).
% 158.55/158.64  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a)!=c_Orderings_Otop__class_Otop(T_a)|V_A=c_Orderings_Otop__class_Otop(T_a).
% 158.55/158.64  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 158.55/158.64  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 158.55/158.64  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).
% 158.55/158.64  0 [] -hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=V_x.
% 158.55/158.64  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=V_x.
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a).
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 158.55/158.64  0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 158.55/158.64  0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)).
% 158.55/158.64  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] hBOOL(c_Option_Ois__none(c_Option_Ooption_ONone(T_a),T_a)).
% 158.55/158.64  0 [] c_Option_Ooption_Ooption__case(V_f1,V_f2,c_Option_Ooption_ONone(T_b),T_a,T_b)=V_f1.
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OAss(V_vname_H,V_fun_H).
% 158.55/158.64  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a)=V_f.
% 158.55/158.64  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x)=V_y.
% 158.55/158.64  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b)=V_f.
% 158.55/158.64  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x)=V_y.
% 158.55/158.64  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a)=V_f.
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  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)).
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_a,V_A,T_a)).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_a,V_C,T_a)).
% 158.55/158.64  0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a)=hAPP(hAPP(V_f4,V_com1),V_com2).
% 158.55/158.64  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 158.55/158.64  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 158.55/158.64  0 [] V_x=c_Option_Ooption_ONone(T_a)| -hBOOL(c_Option_Ois__none(V_x,T_a)).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a)=hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun).
% 158.55/158.64  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Option_Omap(V_f,c_Option_Ooption_ONone(T_b),T_b,T_a)=c_Option_Ooption_ONone(T_a).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 158.55/158.64  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 158.55/158.64  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 158.55/158.64  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).
% 158.55/158.64  0 [] hAPP(V_m,V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(V_n,V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)=c_Option_Ooption_ONone(T_a).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 158.55/158.64  0 [] c_Option_Ois__none(v_x,t_a)=hAPP(hAPP(c_fe_qual(tc_Option_Ooption(t_a)),v_x),c_Option_Ooption_ONone(t_a)).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a)=hAPP(hAPP(V_f2,V_vname),V_fun).
% 158.55/158.64  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 158.55/158.64  0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 158.55/158.64  0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 158.55/158.64  0 [] c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b)!=V_f|hAPP(V_f,V_x)=V_y.
% 158.55/158.64  0 [] hAPP(V_m2,V_k)!=c_Option_Ooption_ONone(T_b)|c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c)=c_Option_Ooption_ONone(T_a).
% 158.55/158.64  0 [] hAPP(V_m2,V_k)!=c_Option_Ooption_ONone(T_a)|c_Map_Omap__comp(V_m1,V_m2,V_k,T_a,T_c,T_b)=c_Option_Ooption_ONone(T_c).
% 158.55/158.64  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 158.55/158.64  0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 158.55/158.64  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a)=hAPP(hAPP(hAPP(V_f6,V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)).
% 158.55/158.64  0 [] hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m)=hAPP(V_l2,V_m)| -hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a)=hAPP(hAPP(hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)).
% 158.55/158.64  0 [] V_t=V_s| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)).
% 158.55/158.64  0 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a).
% 158.55/158.64  0 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 158.55/158.64  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)).
% 158.55/158.64  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,hAPP(c_Option_Ooption_OSome(T_b),V_xa),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).
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 158.55/158.64  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 158.55/158.64  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 158.55/158.64  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 158.55/158.64  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,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)).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 158.55/158.64  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.
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a)=hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a)=hAPP(hAPP(V_f6,V_fun),V_com).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(c_in(V_a,V_C,T_a)).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(c_in(V_a,V_A,T_a)).
% 158.55/158.64  0 [] hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)!=hAPP(c_Option_Ooption_OSome(T_a),V_x)|hAPP(V_n,V_k)=c_Option_Ooption_ONone(T_a)|hAPP(V_n,V_k)=hAPP(c_Option_Ooption_OSome(T_a),V_x).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 158.55/158.64  0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 158.55/158.64  0 [] c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b)|hBOOL(c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_fun=V_fun_H.
% 158.55/158.64  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_vname=V_vname_H.
% 158.55/158.64  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 158.55/158.64  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Fun_Oinj__on(V_m_H,c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b))| -c_Fun_Oinj__on(c_Map_Omap__add(V_m,V_m_H,T_a,T_b),c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b)).
% 158.55/158.64  0 [] c_Fun_Oinj__on(c_Map_Omap__add(V_m,V_m_H,T_a,T_b),c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b))| -c_Fun_Oinj__on(V_m_H,c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b)).
% 158.55/158.64  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 158.55/158.64  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 158.55/158.64  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Map_Omap__add(V_f,c_Fun_Ofun__upd(V_g,V_x,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b)),T_a,T_b)=c_Fun_Ofun__upd(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_x,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b)).
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 158.55/158.64  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] hAPP(V_m1,V_x)!=c_Option_Ooption_ONone(T_a)|hAPP(V_m2,V_k)!=hAPP(c_Option_Ooption_OSome(T_b),V_x)|c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c)=c_Option_Ooption_ONone(T_a).
% 158.55/158.64  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 158.55/158.64  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a)=hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(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)).
% 158.55/158.64  0 [] hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(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)).
% 158.55/158.64  0 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_Com_Ocom_OAss(V_vname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Finite__Set_Ofinite(V_A,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_b,T_a)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 158.55/158.64  0 [] hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m)=hAPP(V_l2,V_m)|hBOOL(c_in(V_m,c_Map_Odom(V_l1,T_a,T_b),T_a)).
% 158.55/158.64  0 [] hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m)=hAPP(V_l1,V_m)|hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)).
% 158.55/158.64  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 158.55/158.64  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 158.55/158.64  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Map_Odom(V_m1,T_a,T_b),c_Map_Odom(V_m2,T_a,T_b),tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_Map_Omap__add(V_m1,V_m2,T_a,T_b)=c_Map_Omap__add(V_m2,V_m1,T_a,T_b).
% 158.55/158.64  0 [] c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_x),T_a,tc_Option_Ooption(T_b))!=c_Fun_Ofun__upd(V_n,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b))|V_x=V_y.
% 158.55/158.64  0 [] hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x))=V_x.
% 158.55/158.64  0 [] c_Option_Ooption_Ooption__rec(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(T_b),V_a),T_a,T_b)=hAPP(V_f2,V_a).
% 158.55/158.64  0 [] hAPP(V_t,V_k)!=hAPP(c_Option_Ooption_OSome(T_a),V_x)|c_Fun_Ofun__upd(V_t,V_k,hAPP(c_Option_Ooption_OSome(T_a),V_x),T_b,tc_Option_Ooption(T_a))=V_t.
% 158.55/158.64  0 [] hAPP(c_Fun_Ofun__upd(V_m,V_xa,hAPP(c_Option_Ooption_OSome(T_a),V_x),T_aa,tc_Option_Ooption(T_a)),V_xa)=hAPP(c_Option_Ooption_OSome(T_a),V_x).
% 158.55/158.64  0 [] hAPP(V_m1,V_x)!=hAPP(c_Option_Ooption_OSome(T_a),V_v)|hAPP(V_m2,V_k)!=hAPP(c_Option_Ooption_OSome(T_b),V_x)|c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c)=hAPP(c_Option_Ooption_OSome(T_a),V_v).
% 158.55/158.64  0 [] -hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(t_b),V_xa),t_a,t_b)))|hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))).
% 158.55/158.64  0 [] -hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(t_b),V_a),t_a,t_b)))|hBOOL(hAPP(V_P,hAPP(V_f2,V_a))).
% 158.55/158.64  0 [] c_Fun_Oinj__on(c_Option_Ooption_OSome(T_a),V_A,T_a,tc_Option_Ooption(T_a)).
% 158.55/158.64  0 [] -hBOOL(c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(T_a),V_x),T_a)).
% 158.55/158.64  0 [] hAPP(c_Option_Ooption_OSome(T_a),V_xa)!=c_Option_Ooption_ONone(T_a).
% 158.55/158.64  0 [] hAPP(c_Option_Ooption_OSome(T_a),V_a_H)!=c_Option_Ooption_ONone(T_a).
% 158.55/158.64  0 [] hAPP(V_m,V_x)!=hAPP(c_Option_Ooption_OSome(T_a),V_y)|V_x=V_a|hAPP(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_a),V_b),T_b,tc_Option_Ooption(T_a)),V_x)=hAPP(c_Option_Ooption_OSome(T_a),V_y).
% 158.55/158.64  0 [] hAPP(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_a),V_b),T_b,tc_Option_Ooption(T_a)),V_x)!=hAPP(c_Option_Ooption_OSome(T_a),V_y)|hAPP(V_m,V_x)=hAPP(c_Option_Ooption_OSome(T_a),V_y)|V_b=V_y.
% 158.55/158.64  0 [] hAPP(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_a),V_b),T_b,tc_Option_Ooption(T_a)),V_x)!=hAPP(c_Option_Ooption_OSome(T_a),V_y)|hAPP(V_m,V_x)=hAPP(c_Option_Ooption_OSome(T_a),V_y)|V_x=V_a.
% 158.55/158.64  0 [] c_Option_Ooption_Ooption__case(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(T_b),V_a),T_a,T_b)=hAPP(V_f2,V_a).
% 158.55/158.64  0 [] V_b=V_y|hAPP(c_Fun_Ofun__upd(V_m,V_x,hAPP(c_Option_Ooption_OSome(T_aa),V_b),T_a,tc_Option_Ooption(T_aa)),V_x)!=hAPP(c_Option_Ooption_OSome(T_aa),V_y).
% 158.55/158.64  0 [] c_Option_Ooption_ONone(T_a)!=hAPP(c_Option_Ooption_OSome(T_a),V_y).
% 158.55/158.64  0 [] c_Option_Ooption_ONone(T_a)!=hAPP(c_Option_Ooption_OSome(T_a),V_a_H).
% 158.55/158.64  0 [] hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)!=hAPP(c_Option_Ooption_OSome(T_a),V_x)|hAPP(V_m,V_k)=hAPP(c_Option_Ooption_OSome(T_a),V_x)|hAPP(V_n,V_k)=hAPP(c_Option_Ooption_OSome(T_a),V_x).
% 158.55/158.64  0 [] c_Option_Omap(V_f,hAPP(c_Option_Ooption_OSome(T_b),V_x),T_b,T_a)=hAPP(c_Option_Ooption_OSome(T_a),hAPP(V_f,V_x)).
% 158.55/158.64  0 [] hAPP(V_m2,V_k)!=hAPP(c_Option_Ooption_OSome(T_a),V_k_H)|c_Map_Omap__comp(V_m1,V_m2,V_k,T_a,T_c,T_b)=hAPP(V_m1,V_k_H).
% 158.55/158.64  0 [] -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(T_a),V_x),V_P,T_a)))|hBOOL(hAPP(V_P,V_x)).
% 158.55/158.64  0 [] hAPP(V_n,V_k)!=hAPP(c_Option_Ooption_OSome(T_a),V_xx)|hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)=hAPP(c_Option_Ooption_OSome(T_a),V_xx).
% 158.55/158.64  0 [] hAPP(V_n,V_k)!=hAPP(c_Option_Ooption_OSome(T_a),V_x)|hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)=hAPP(c_Option_Ooption_OSome(T_a),V_x).
% 158.55/158.64  0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OSKIP.
% 158.55/158.64  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a)=hAPP(V_f7,V_pname).
% 158.55/158.64  0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 158.55/158.64  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 158.55/158.64  0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 158.55/158.64  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 158.55/158.64  0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 158.55/158.64  0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 158.55/158.64  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=hAPP(c_Com_Ocom_OBODY,V_pname).
% 158.55/158.64  0 [] hAPP(c_Com_Ocom_OBODY,V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 158.55/158.64  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 158.55/158.64  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 158.55/158.64  0 [] hAPP(c_Com_Ocom_OBODY,V_pname)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 158.55/158.64  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a)=hAPP(V_f7,V_pname).
% 158.55/158.64  0 [] c_Com_Ocom_OSKIP!=hAPP(c_Com_Ocom_OBODY,V_pname_H).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Map_Odom(c_COMBK(hAPP(c_Option_Ooption_OSome(T_b),V_y),tc_Option_Ooption(T_b),T_a),T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 158.55/158.64  0 [] hAPP(V_m,V_a)=hAPP(c_Option_Ooption_OSome(T_b),c_Map_Osko__Map__XdomD__1__1(V_a,V_m,T_a,T_b))| -hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)).
% 158.55/158.64  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)).
% 158.55/158.64  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)).
% 158.55/158.64  0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 158.55/158.64  0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 158.55/158.64  0 [] c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 158.55/158.64  0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 158.55/158.64  0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 158.55/158.64  0 [] c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 158.55/158.64  0 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 158.55/158.64  0 [] c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)).
% 158.55/158.64  0 [] c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))| -c_Com_OWT(V_c).
% 158.55/158.64  0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)).
% 158.55/158.64  0 [] c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))| -c_Com_OWT(V_c).
% 158.55/158.64  0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t)!=V_t| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  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)).
% 158.55/158.64  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).
% 158.55/158.64  0 [] hAPP(V_m,V_a)!=hAPP(c_Option_Ooption_OSome(T_a),V_b)|hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)).
% 158.55/158.64  0 [] hAPP(V_f,V_x)!=hAPP(c_Option_Ooption_OSome(T_a),V_y)|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).
% 158.55/158.64  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).
% 158.55/158.64  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).
% 158.55/158.64  0 [] c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn)).
% 158.55/158.64  0 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_P))| -c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)).
% 158.55/158.64  0 [] c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname).
% 158.55/158.64  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).
% 158.55/158.64  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.
% 158.55/158.64  0 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn))|hAPP(c_Com_Obody,V_pn)=c_Option_Ooption_ONone(tc_Com_Ocom).
% 158.55/158.64  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.
% 158.55/158.64  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.
% 158.55/158.65  0 [] hAPP(c_Com_Obody,V_P)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),c_Com_Osko__Com__XWTs__elim__cases__7__1(V_P))| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_P)).
% 158.55/158.65  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.
% 158.55/158.65  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)).
% 158.55/158.65  0 [] hAPP(c_Com_Obody,V_pn)!=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)| -c_Com_OWT__bodies|c_Com_OWT(V_b).
% 158.55/158.65  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).
% 158.55/158.65  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).
% 158.55/158.65  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 158.55/158.65  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).
% 158.55/158.65  0 [] hAPP(c_Option_Ooption_OSome(T_a),V_a)!=hAPP(c_Option_Ooption_OSome(T_a),V_a_H)|V_a=V_a_H.
% 158.55/158.65  0 [] c_Hoare__Mirabelle_Ostate__not__singleton|V_x=V_xa.
% 158.55/158.65  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)).
% 158.55/158.65  0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 158.55/158.65  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)).
% 158.55/158.65  0 [] hAPP(c_Com_Ocom_OBODY,V_pname)!=hAPP(c_Com_Ocom_OBODY,V_pname_H)|V_pname=V_pname_H.
% 158.55/158.65  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).
% 158.55/158.65  0 [] c_Hoare__Mirabelle_Ostate__not__singleton.
% 158.55/158.65  0 [] c_Com_OWT__bodies.
% 158.55/158.65  0 [] c_Com_OWT(v_c).
% 158.55/158.65  0 [] hAPP(c_Com_Obody,v_pn)=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y).
% 158.55/158.65  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).
% 158.55/158.65  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 158.55/158.65  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 158.55/158.65  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 158.55/158.65  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 158.55/158.65  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 158.55/158.65  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).
% 158.55/158.65  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 158.55/158.65  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 158.55/158.65  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 158.55/158.65  0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 158.55/158.65  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 158.55/158.65  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 158.55/158.65  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 158.55/158.65  0 [] class_Lattices_Olower__semilattice(tc_nat).
% 158.55/158.65  0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 158.55/158.65  0 [] class_Orderings_Opreorder(tc_nat).
% 158.55/158.65  0 [] class_Orderings_Olinorder(tc_nat).
% 158.55/158.65  0 [] class_Lattices_Olattice(tc_nat).
% 158.55/158.65  0 [] class_Orderings_Oorder(tc_nat).
% 158.55/158.65  0 [] class_Orderings_Obot(tc_nat).
% 158.55/158.65  0 [] class_HOL_Oord(tc_nat).
% 158.55/158.65  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 158.55/158.65  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 158.55/158.65  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 158.55/158.65  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 158.55/158.65  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 158.55/158.65  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 158.55/158.65  0 [] class_Orderings_Opreorder(tc_bool).
% 158.55/158.65  0 [] class_Lattices_Olattice(tc_bool).
% 158.55/158.65  0 [] class_Orderings_Oorder(tc_bool).
% 158.55/158.65  0 [] class_Orderings_Otop(tc_bool).
% 158.55/158.65  0 [] class_Orderings_Obot(tc_bool).
% 158.55/158.65  0 [] class_HOL_Oord(tc_bool).
% 158.55/158.65  0 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1).
% 158.55/158.65  0 [] c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a)=hAPP(hAPP(V_P,V_R),V_Q).
% 158.55/158.65  0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 158.55/158.65  0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 158.55/158.65  0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 158.55/158.65  end_of_list.
% 158.55/158.65  
% 158.55/158.65  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 158.55/158.65  
% 158.55/158.65  This ia a non-Horn set with equality.  The strategy will be
% 158.55/158.65  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 158.55/158.65  deletion, with positive clauses in sos and nonpositive
% 158.55/158.65  clauses in usable.
% 158.55/158.65  
% 158.55/158.65     dependent: set(knuth_bendix).
% 158.55/158.65     dependent: set(anl_eq).
% 158.55/158.65     dependent: set(para_from).
% 158.55/158.65     dependent: set(para_into).
% 158.55/158.65     dependent: clear(para_from_right).
% 158.55/158.65     dependent: clear(para_into_right).
% 158.55/158.65     dependent: set(para_from_vars).
% 158.55/158.65     dependent: set(eq_units_both_ways).
% 158.55/158.65     dependent: set(dynamic_demod_all).
% 158.55/158.65     dependent: set(dynamic_demod).
% 158.55/158.65     dependent: set(order_eq).
% 158.55/158.65     dependent: set(back_demod).
% 158.55/158.65     dependent: set(lrpo).
% 158.55/158.65     dependent: set(hyper_res).
% 158.55/158.65     dependent: set(unit_deletion).
% 158.55/158.65     dependent: set(factor).
% 158.55/158.65  
% 158.55/158.65  ------------> process usable:
% 158.55/158.65  ** KEPT (pick-wt=10): 1 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 158.55/158.65  ** KEPT (pick-wt=7): 2 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 158.55/158.65  ** KEPT (pick-wt=15): 3 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=10): 4 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=10): 5 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=8): 6 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 158.55/158.65  ** KEPT (pick-wt=10): 7 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 158.55/158.65  ** KEPT (pick-wt=8): 8 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 158.55/158.65  ** KEPT (pick-wt=5): 9 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 158.55/158.65  ** KEPT (pick-wt=12): 10 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|A=D.
% 158.55/158.65  ** KEPT (pick-wt=12): 11 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|B=E.
% 158.55/158.65  ** KEPT (pick-wt=12): 12 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|C=F.
% 158.55/158.65  ** KEPT (pick-wt=7): 13 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 158.55/158.65  ** KEPT (pick-wt=15): 14 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=15): 15 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=9): 16 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 158.55/158.65  ** KEPT (pick-wt=9): 17 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 158.55/158.65  ** KEPT (pick-wt=13): 18 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D).
% 158.55/158.65  ** KEPT (pick-wt=28): 19 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 158.55/158.65  ** KEPT (pick-wt=28): 20 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E).
% 158.55/158.65  ** KEPT (pick-wt=42): 21 [] c_Set_Oimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_lesse_quals(C,F,tc_fun(D,tc_bool))| -c_lesse_quals(B,F,tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,F,D,E).
% 158.55/158.65  ** KEPT (pick-wt=16): 22 [] 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).
% 158.55/158.65  ** KEPT (pick-wt=22): 23 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=21): 24 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=14): 25 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 158.55/158.65  ** KEPT (pick-wt=19): 26 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=20): 28 [copy,27,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 158.55/158.65  ** KEPT (pick-wt=20): 30 [copy,29,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 158.55/158.65  ** KEPT (pick-wt=8): 31 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 158.55/158.65  ** KEPT (pick-wt=8): 32 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 158.55/158.65  ** KEPT (pick-wt=9): 33 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 158.55/158.65  ** KEPT (pick-wt=9): 34 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 158.55/158.65  ** KEPT (pick-wt=14): 35 [] -hBOOL(hAPP(A,c_Option_Ooption_Ooption__case(B,C,c_Option_Ooption_ONone(t_b),t_a,t_b)))|hBOOL(hAPP(A,B)).
% 158.55/158.65  ** KEPT (pick-wt=29): 36 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=21): 37 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=21): 38 [] -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)).
% 158.55/158.65  ** KEPT (pick-wt=23): 39 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=17): 40 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=17): 41 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=17): 42 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=17): 43 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=15): 44 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),C)).
% 158.55/158.65  ** KEPT (pick-wt=15): 45 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),C)).
% 158.55/158.65  ** KEPT (pick-wt=25): 46 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))|B=C| -c_Fun_Oinj__on(A,D,E,F).
% 158.55/158.65    Following clause subsumed by 46 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 158.55/158.65    Following clause subsumed by 46 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 158.55/158.65    Following clause subsumed by 46 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E)).
% 158.55/158.65  ** KEPT (pick-wt=14): 47 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=14): 48 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=12): 49 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 158.55/158.65  ** KEPT (pick-wt=12): 50 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 158.55/158.65  ** KEPT (pick-wt=12): 51 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 158.55/158.65  ** KEPT (pick-wt=23): 52 [] 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)).
% 158.55/158.65    Following clause subsumed by 52 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)).
% 158.55/158.65  ** KEPT (pick-wt=17): 53 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=9): 54 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 158.55/158.65  ** KEPT (pick-wt=9): 55 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 158.55/158.65    Following clause subsumed by 53 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).
% 158.55/158.65    Following clause subsumed by 53 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).
% 158.55/158.65  ** KEPT (pick-wt=9): 56 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 158.55/158.65  ** KEPT (pick-wt=9): 57 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 158.55/158.65  ** KEPT (pick-wt=11): 58 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 158.55/158.65  ** KEPT (pick-wt=11): 59 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 158.55/158.65  ** KEPT (pick-wt=6): 61 [copy,60,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 158.55/158.65  ** KEPT (pick-wt=21): 62 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A),A).
% 158.55/158.65  ** KEPT (pick-wt=8): 63 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 158.55/158.65  ** KEPT (pick-wt=26): 64 [] hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|hAPP(E,B)!=c_Option_Ooption_ONone(C)|hAPP(c_Map_Omap__add(A,E,F,C),B)=hAPP(c_Option_Ooption_OSome(C),D).
% 158.55/158.65  ** KEPT (pick-wt=16): 65 [] hAPP(c_Map_Omap__add(A,B,C,D),E)!=c_Option_Ooption_ONone(D)|hAPP(A,E)=c_Option_Ooption_ONone(D).
% 158.55/158.65  ** KEPT (pick-wt=16): 66 [] hAPP(c_Map_Omap__add(A,B,C,D),E)!=c_Option_Ooption_ONone(D)|hAPP(B,E)=c_Option_Ooption_ONone(D).
% 158.55/158.65  ** KEPT (pick-wt=14): 67 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 158.55/158.65  ** KEPT (pick-wt=9): 68 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 158.55/158.65  ** KEPT (pick-wt=14): 69 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=8): 70 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 158.55/158.65  ** KEPT (pick-wt=11): 71 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 158.55/158.65  ** KEPT (pick-wt=21): 72 [] 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)).
% 158.55/158.65    Following clause subsumed by 14 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)).
% 158.55/158.65  ** KEPT (pick-wt=20): 73 [] 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)).
% 158.55/158.65    Following clause subsumed by 14 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)).
% 158.55/158.65  ** KEPT (pick-wt=8): 74 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 158.55/158.65  ** KEPT (pick-wt=17): 75 [] c_Fun_Ofun__upd(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,tc_Option_Ooption(C))!=c_COMBK(c_Option_Ooption_ONone(C),tc_Option_Ooption(C),E).
% 158.55/158.65  ** KEPT (pick-wt=8): 76 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 158.55/158.65  ** KEPT (pick-wt=14): 77 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 158.55/158.65  ** KEPT (pick-wt=8): 78 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 158.55/158.65  ** KEPT (pick-wt=24): 79 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D)|B=E.
% 158.55/158.65  ** KEPT (pick-wt=9): 80 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 158.55/158.65  ** KEPT (pick-wt=9): 81 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 158.55/158.65  ** KEPT (pick-wt=9): 82 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 158.55/158.65  ** KEPT (pick-wt=8): 83 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 158.55/158.65  ** KEPT (pick-wt=33): 84 [] c_Set_Oimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E).
% 158.55/158.65  ** KEPT (pick-wt=12): 85 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 158.55/158.65  ** KEPT (pick-wt=12): 86 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 158.55/158.65  ** KEPT (pick-wt=12): 87 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 158.55/158.65  ** KEPT (pick-wt=14): 88 [] 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).
% 158.55/158.65    Following clause subsumed by 88 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).
% 158.55/158.65  ** KEPT (pick-wt=29): 89 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))|c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=29): 90 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=9): 91 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 158.55/158.65  ** KEPT (pick-wt=24): 92 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E).
% 158.55/158.65  ** KEPT (pick-wt=24): 93 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E).
% 158.55/158.65  ** KEPT (pick-wt=7): 94 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 158.55/158.65  ** KEPT (pick-wt=8): 95 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 158.55/158.65  ** KEPT (pick-wt=18): 96 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E)|B=C.
% 158.55/158.65  ** KEPT (pick-wt=17): 97 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 158.55/158.65  ** KEPT (pick-wt=13): 98 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 158.55/158.65  ** KEPT (pick-wt=13): 99 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 158.55/158.65  ** KEPT (pick-wt=25): 100 [] c_Set_Oimage(A,B,C,C)=B| -c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(c_Set_Oimage(A,B,C,C),B,tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 158.55/158.65  ** KEPT (pick-wt=20): 101 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=17): 102 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 158.55/158.65  ** KEPT (pick-wt=17): 103 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 158.55/158.65  ** KEPT (pick-wt=17): 104 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 158.55/158.65  ** KEPT (pick-wt=17): 105 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 158.55/158.65  ** KEPT (pick-wt=8): 106 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 158.55/158.65  ** KEPT (pick-wt=14): 107 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)| -hBOOL(c_in(B,c_Map_Odom(A,D,C),D)).
% 158.55/158.65  ** KEPT (pick-wt=11): 108 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 158.55/158.65  ** KEPT (pick-wt=11): 109 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 158.55/158.65  ** KEPT (pick-wt=22): 110 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)|B=E.
% 158.55/158.65  ** KEPT (pick-wt=12): 111 [] c_Option_Omap(A,B,C,D)!=c_Option_Ooption_ONone(D)|B=c_Option_Ooption_ONone(C).
% 158.55/158.65  ** KEPT (pick-wt=13): 112 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Otop__class_Otop(A)|C=c_Orderings_Otop__class_Otop(A).
% 158.55/158.65  ** KEPT (pick-wt=13): 113 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Otop__class_Otop(A)|B=c_Orderings_Otop__class_Otop(A).
% 158.55/158.65  ** KEPT (pick-wt=8): 114 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 158.55/158.65  ** KEPT (pick-wt=50): 115 [] 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).
% 158.55/158.65    Following clause subsumed by 9 during input processing: 0 [flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 158.55/158.65  ** KEPT (pick-wt=6): 117 [copy,116,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 158.55/158.65  ** KEPT (pick-wt=21): 118 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))|c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=9): 119 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Otop__class_Otop(A),A)=B.
% 158.55/158.65  ** KEPT (pick-wt=9): 120 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(A),B,A)=B.
% 158.55/158.65  ** KEPT (pick-wt=21): 121 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),A).
% 158.55/158.65  ** KEPT (pick-wt=11): 122 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 158.55/158.65  ** KEPT (pick-wt=16): 123 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 158.55/158.65  ** KEPT (pick-wt=11): 124 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 158.55/158.65  ** KEPT (pick-wt=8): 125 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 158.55/158.65  ** KEPT (pick-wt=7): 126 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 158.55/158.65  ** KEPT (pick-wt=15): 127 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=17): 128 [] A=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),A))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),B)).
% 158.55/158.65    Following clause subsumed by 127 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)).
% 158.55/158.65  ** KEPT (pick-wt=13): 129 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 158.55/158.65    Following clause subsumed by 129 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 158.55/158.65    Following clause subsumed by 129 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 158.55/158.65    Following clause subsumed by 117 during input processing: 0 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 158.55/158.65  ** KEPT (pick-wt=11): 130 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 158.55/158.65  ** KEPT (pick-wt=12): 131 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 158.55/158.65  ** KEPT (pick-wt=12): 132 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 158.55/158.65  ** KEPT (pick-wt=12): 133 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 158.55/158.65  ** KEPT (pick-wt=14): 134 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=14): 135 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=14): 136 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=21): 137 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=21): 138 [] 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)).
% 158.55/158.65  ** KEPT (pick-wt=5): 140 [copy,139,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 158.55/158.65  ** KEPT (pick-wt=14): 141 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 158.55/158.65  ** KEPT (pick-wt=14): 142 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 158.55/158.65    Following clause subsumed by 73 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)).
% 158.55/158.65  ** KEPT (pick-wt=22): 143 [] 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.
% 158.55/158.65  ** KEPT (pick-wt=17): 144 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=17): 145 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.65  ** KEPT (pick-wt=13): 146 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 158.55/158.65  ** KEPT (pick-wt=13): 147 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 158.55/158.65  ** KEPT (pick-wt=13): 148 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 158.55/158.65  ** KEPT (pick-wt=13): 149 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 158.55/158.65    Following clause subsumed by 146 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 158.55/158.65    Following clause subsumed by 147 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 158.55/158.65  ** KEPT (pick-wt=8): 150 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 158.55/158.65  ** KEPT (pick-wt=11): 151 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 158.55/158.65  ** KEPT (pick-wt=11): 152 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 158.55/158.65  ** KEPT (pick-wt=10): 153 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 158.55/158.65  ** KEPT (pick-wt=10): 154 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 158.55/158.65  ** KEPT (pick-wt=8): 155 [] A=c_Option_Ooption_ONone(B)| -hBOOL(c_Option_Ois__none(A,B)).
% 158.55/158.65  ** KEPT (pick-wt=11): 156 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 158.55/158.65  ** KEPT (pick-wt=14): 157 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=14): 158 [] -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).
% 158.55/158.65    Following clause subsumed by 61 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 158.55/158.65  ** KEPT (pick-wt=8): 159 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 158.55/158.65  ** KEPT (pick-wt=5): 160 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 158.55/158.65  ** KEPT (pick-wt=19): 161 [] -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).
% 158.55/158.65  ** KEPT (pick-wt=22): 162 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)|hAPP(D,B)!=c_Option_Ooption_ONone(C)|hAPP(c_Map_Omap__add(A,D,E,C),B)=c_Option_Ooption_ONone(C).
% 158.55/158.65  ** KEPT (pick-wt=8): 163 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 158.55/158.65  ** KEPT (pick-wt=8): 164 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 158.55/158.65  ** KEPT (pick-wt=13): 165 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 158.55/158.66  ** KEPT (pick-wt=13): 166 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 158.55/158.66  ** KEPT (pick-wt=13): 167 [] c_Fun_Ofun__upd(A,B,C,D,E)!=A|hAPP(A,B)=C.
% 158.55/158.66  ** KEPT (pick-wt=16): 168 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)|c_Map_Omap__comp(D,A,B,C,E,F)=c_Option_Ooption_ONone(E).
% 158.55/158.66    Following clause subsumed by 168 during input processing: 0 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)|c_Map_Omap__comp(D,A,B,C,E,F)=c_Option_Ooption_ONone(E).
% 158.55/158.66  ** KEPT (pick-wt=18): 169 [] c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(B,c_Set_Oimage(A,B,C,C),tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 158.55/158.66  ** KEPT (pick-wt=15): 170 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(C,tc_bool)),C,D).
% 158.55/158.66  ** KEPT (pick-wt=15): 171 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 158.55/158.66  ** KEPT (pick-wt=19): 172 [] hAPP(c_Map_Omap__add(A,B,C,D),E)=hAPP(B,E)| -hBOOL(c_in(E,c_Map_Odom(B,C,D),C)).
% 158.55/158.66  ** KEPT (pick-wt=11): 173 [] -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).
% 158.55/158.66  ** KEPT (pick-wt=10): 174 [] A=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),B),A)).
% 158.55/158.66  ** KEPT (pick-wt=11): 175 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C).
% 158.55/158.66  ** KEPT (pick-wt=11): 176 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 158.55/158.66  ** KEPT (pick-wt=16): 177 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 158.55/158.66  ** KEPT (pick-wt=9): 178 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 158.55/158.66  ** KEPT (pick-wt=9): 179 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 158.55/158.66  ** KEPT (pick-wt=10): 180 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(A),B,A)=c_Orderings_Obot__class_Obot(A).
% 158.55/158.66  ** KEPT (pick-wt=10): 181 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Obot__class_Obot(A),A)=c_Orderings_Obot__class_Obot(A).
% 158.55/158.66  ** KEPT (pick-wt=7): 182 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 158.55/158.66  ** KEPT (pick-wt=13): 183 [] -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).
% 158.55/158.66  ** KEPT (pick-wt=13): 184 [] -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).
% 158.55/158.66  ** KEPT (pick-wt=8): 185 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 158.55/158.66    Following clause subsumed by 185 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 158.55/158.66    Following clause subsumed by 185 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 158.55/158.66    Following clause subsumed by 185 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 158.55/158.66  ** KEPT (pick-wt=9): 186 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 158.55/158.66  ** KEPT (pick-wt=15): 187 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=27): 188 [] 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.
% 158.55/158.66  ** KEPT (pick-wt=27): 189 [] 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.
% 158.55/158.66  ** KEPT (pick-wt=27): 190 [] 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.
% 158.55/158.66  ** KEPT (pick-wt=27): 191 [] 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.
% 158.55/158.66  ** KEPT (pick-wt=9): 192 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 158.55/158.66  ** KEPT (pick-wt=9): 193 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 158.55/158.66  ** KEPT (pick-wt=18): 194 [] 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.
% 158.55/158.66    Following clause subsumed by 185 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 158.55/158.66  ** KEPT (pick-wt=17): 195 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=17): 196 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=25): 197 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=20): 198 [] -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)).
% 158.55/158.66    Following clause subsumed by 198 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)).
% 158.55/158.66  ** KEPT (pick-wt=10): 199 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 158.55/158.66  ** KEPT (pick-wt=16): 200 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 158.55/158.66    Following clause subsumed by 200 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 158.55/158.66    Following clause subsumed by 200 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 158.55/158.66    Following clause subsumed by 200 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 158.55/158.66  ** KEPT (pick-wt=17): 201 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=14): 202 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 158.55/158.66  ** KEPT (pick-wt=7): 203 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 158.55/158.66  ** KEPT (pick-wt=24): 205 [copy,204,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))| -hBOOL(c_in(A,C,D)).
% 158.55/158.66  ** KEPT (pick-wt=24): 207 [copy,206,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(A,B,D)).
% 158.55/158.66  ** KEPT (pick-wt=26): 208 [] hAPP(c_Map_Omap__add(A,B,C,D),E)!=hAPP(c_Option_Ooption_OSome(D),F)|hAPP(B,E)=c_Option_Ooption_ONone(D)|hAPP(B,E)=hAPP(c_Option_Ooption_OSome(D),F).
% 158.55/158.66  ** KEPT (pick-wt=28): 209 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=9): 210 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 158.55/158.66  ** KEPT (pick-wt=9): 211 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 158.55/158.66  ** KEPT (pick-wt=17): 212 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 158.55/158.66    Following clause subsumed by 212 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 158.55/158.66    Following clause subsumed by 212 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 158.55/158.66  ** KEPT (pick-wt=9): 213 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 158.55/158.66  ** KEPT (pick-wt=9): 214 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 158.55/158.66  ** KEPT (pick-wt=23): 215 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 158.55/158.66    Following clause subsumed by 215 during input processing: 0 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 158.55/158.66  ** KEPT (pick-wt=7): 216 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 158.55/158.66  ** KEPT (pick-wt=24): 217 [] c_Fun_Oinj__on(c_Fun_Ofun__upd(A,B,C,D,E),F,D,E)|hBOOL(c_in(C,c_Set_Oimage(A,F,D,E),E))| -c_Fun_Oinj__on(A,F,D,E).
% 158.55/158.66  ** KEPT (pick-wt=10): 218 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|B=D.
% 158.55/158.66  ** KEPT (pick-wt=10): 219 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|A=C.
% 158.55/158.66  ** KEPT (pick-wt=8): 220 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 158.55/158.66  ** KEPT (pick-wt=5): 221 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 158.55/158.66  ** KEPT (pick-wt=22): 222 [] c_Fun_Oinj__on(A,c_Map_Odom(A,B,C),B,tc_Option_Ooption(C))| -c_Fun_Oinj__on(c_Map_Omap__add(D,A,B,C),c_Map_Odom(A,B,C),B,tc_Option_Ooption(C)).
% 158.55/158.66  ** KEPT (pick-wt=22): 223 [] c_Fun_Oinj__on(c_Map_Omap__add(A,B,C,D),c_Map_Odom(B,C,D),C,tc_Option_Ooption(D))| -c_Fun_Oinj__on(B,c_Map_Odom(B,C,D),C,tc_Option_Ooption(D)).
% 158.55/158.66  ** KEPT (pick-wt=20): 224 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 158.55/158.66  ** KEPT (pick-wt=20): 225 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 158.55/158.66  ** KEPT (pick-wt=20): 226 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=14): 227 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 158.55/158.66  ** KEPT (pick-wt=14): 228 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 158.55/158.66  ** KEPT (pick-wt=12): 229 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|C=F.
% 158.55/158.66  ** KEPT (pick-wt=12): 230 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|B=E.
% 158.55/158.66  ** KEPT (pick-wt=12): 231 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|A=D.
% 158.55/158.66  ** KEPT (pick-wt=6): 233 [copy,232,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 158.55/158.66  ** KEPT (pick-wt=7): 234 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 158.55/158.66    Following clause subsumed by 160 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).
% 158.55/158.66  ** KEPT (pick-wt=15): 235 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 158.55/158.66  ** KEPT (pick-wt=15): 236 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 158.55/158.66  ** KEPT (pick-wt=16): 237 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,D)),B),C)).
% 158.55/158.66  ** KEPT (pick-wt=24): 238 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)|hAPP(D,E)!=hAPP(c_Option_Ooption_OSome(F),B)|c_Map_Omap__comp(A,D,E,F,C,G)=c_Option_Ooption_ONone(C).
% 158.55/158.66  ** KEPT (pick-wt=8): 239 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 158.55/158.66  ** KEPT (pick-wt=13): 240 [] -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).
% 158.55/158.66  ** KEPT (pick-wt=13): 241 [] -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).
% 158.55/158.66  ** KEPT (pick-wt=13): 242 [] -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).
% 158.55/158.66  ** KEPT (pick-wt=13): 243 [] -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).
% 158.55/158.66    Following clause subsumed by 240 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).
% 158.55/158.66    Following clause subsumed by 241 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).
% 158.55/158.66  ** KEPT (pick-wt=17): 244 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=17): 245 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=19): 246 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(B,v_x),hAPP(C,v_x),A).
% 158.55/158.66  ** KEPT (pick-wt=14): 247 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 158.55/158.66  ** KEPT (pick-wt=14): 248 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 158.55/158.66  ** KEPT (pick-wt=16): 249 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 158.55/158.66    Following clause subsumed by 249 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)).
% 158.55/158.66    Following clause subsumed by 249 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)).
% 158.55/158.66    Following clause subsumed by 249 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)).
% 158.55/158.66  ** KEPT (pick-wt=18): 250 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=16): 251 [] c_Fun_Oinj__on(A,B,C,D)| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,E,C,D).
% 158.55/158.66  ** KEPT (pick-wt=14): 252 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 158.55/158.66  ** KEPT (pick-wt=6): 253 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 158.55/158.66  ** KEPT (pick-wt=6): 254 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 158.55/158.66  ** KEPT (pick-wt=12): 255 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 158.55/158.66    Following clause subsumed by 252 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 158.55/158.66    Following clause subsumed by 255 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).
% 158.55/158.66  ** KEPT (pick-wt=13): 256 [] -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.
% 158.55/158.66    Following clause subsumed by 233 during input processing: 0 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 158.55/158.66  ** KEPT (pick-wt=13): 257 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 158.55/158.66    Following clause subsumed by 257 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 158.55/158.66  ** KEPT (pick-wt=28): 258 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(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)).
% 158.55/158.66  ** KEPT (pick-wt=27): 259 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=20): 260 [] hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 158.55/158.66    Following clause subsumed by 260 during input processing: 0 [] hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 158.55/158.66  ** KEPT (pick-wt=17): 261 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 158.55/158.66    Following clause subsumed by 140 during input processing: 0 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 158.55/158.66  ** KEPT (pick-wt=18): 262 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=15): 263 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(C,A,B,D)| -c_Finite__Set_Ofinite(c_Set_Oimage(C,A,B,D),D).
% 158.55/158.66  ** KEPT (pick-wt=9): 264 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 158.55/158.66  ** KEPT (pick-wt=24): 265 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=13): 266 [] -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)).
% 158.55/158.66    Following clause subsumed by 221 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 158.55/158.66  ** KEPT (pick-wt=10): 267 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 158.55/158.66  ** KEPT (pick-wt=28): 268 [] c_Lattices_Olower__semilattice__class_Oinf(c_Map_Odom(A,B,C),c_Map_Odom(D,B,C),tc_fun(B,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|c_Map_Omap__add(A,D,B,C)=c_Map_Omap__add(D,A,B,C).
% 158.55/158.66  ** KEPT (pick-wt=24): 269 [] c_Fun_Ofun__upd(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,tc_Option_Ooption(C))!=c_Fun_Ofun__upd(F,B,hAPP(c_Option_Ooption_OSome(C),G),E,tc_Option_Ooption(C))|D=G.
% 158.55/158.66  ** KEPT (pick-wt=20): 270 [] hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|c_Fun_Ofun__upd(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,tc_Option_Ooption(C))=A.
% 158.55/158.66  ** KEPT (pick-wt=28): 271 [] hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|hAPP(E,F)!=hAPP(c_Option_Ooption_OSome(G),B)|c_Map_Omap__comp(A,E,F,G,C,H)=hAPP(c_Option_Ooption_OSome(C),D).
% 158.55/158.66  ** KEPT (pick-wt=18): 272 [] -hBOOL(hAPP(A,c_Option_Ooption_Ooption__case(B,C,hAPP(c_Option_Ooption_OSome(t_b),D),t_a,t_b)))|hBOOL(hAPP(A,hAPP(C,D))).
% 158.55/158.66    Following clause subsumed by 272 during input processing: 0 [] -hBOOL(hAPP(A,c_Option_Ooption_Ooption__case(B,C,hAPP(c_Option_Ooption_OSome(t_b),D),t_a,t_b)))|hBOOL(hAPP(A,hAPP(C,D))).
% 158.55/158.66  ** KEPT (pick-wt=7): 273 [] -hBOOL(c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(A),B),A)).
% 158.55/158.66  ** KEPT (pick-wt=7): 274 [] hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 158.55/158.66    Following clause subsumed by 274 during input processing: 0 [] hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 158.55/158.66  ** KEPT (pick-wt=28): 275 [] hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|B=E|hAPP(c_Fun_Ofun__upd(A,E,hAPP(c_Option_Ooption_OSome(C),F),G,tc_Option_Ooption(C)),B)=hAPP(c_Option_Ooption_OSome(C),D).
% 158.55/158.66  ** KEPT (pick-wt=28): 276 [] hAPP(c_Fun_Ofun__upd(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,tc_Option_Ooption(C)),F)!=hAPP(c_Option_Ooption_OSome(C),G)|hAPP(A,F)=hAPP(c_Option_Ooption_OSome(C),G)|D=G.
% 158.55/158.66  ** KEPT (pick-wt=28): 277 [] hAPP(c_Fun_Ofun__upd(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,tc_Option_Ooption(C)),F)!=hAPP(c_Option_Ooption_OSome(C),G)|hAPP(A,F)=hAPP(c_Option_Ooption_OSome(C),G)|F=B.
% 158.55/158.66  ** KEPT (pick-wt=20): 278 [] A=B|hAPP(c_Fun_Ofun__upd(C,D,hAPP(c_Option_Ooption_OSome(E),A),F,tc_Option_Ooption(E)),D)!=hAPP(c_Option_Ooption_OSome(E),B).
% 158.55/158.66    Following clause subsumed by 274 during input processing: 0 [flip.1] hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 158.55/158.66    Following clause subsumed by 274 during input processing: 0 [flip.1] hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 158.55/158.66  ** KEPT (pick-wt=28): 279 [] hAPP(c_Map_Omap__add(A,B,C,D),E)!=hAPP(c_Option_Ooption_OSome(D),F)|hAPP(A,E)=hAPP(c_Option_Ooption_OSome(D),F)|hAPP(B,E)=hAPP(c_Option_Ooption_OSome(D),F).
% 158.55/158.66  ** KEPT (pick-wt=19): 280 [] hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|c_Map_Omap__comp(E,A,B,C,F,G)=hAPP(E,D).
% 158.55/158.66  ** KEPT (pick-wt=14): 281 [] -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(B),C),A,B)))|hBOOL(hAPP(A,C)).
% 158.55/158.66  ** KEPT (pick-wt=20): 282 [] hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|hAPP(c_Map_Omap__add(E,A,F,C),B)=hAPP(c_Option_Ooption_OSome(C),D).
% 158.55/158.66    Following clause subsumed by 282 during input processing: 0 [] hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|hAPP(c_Map_Omap__add(E,A,F,C),B)=hAPP(c_Option_Ooption_OSome(C),D).
% 158.55/158.66  ** KEPT (pick-wt=5): 283 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSKIP.
% 158.55/158.66  ** KEPT (pick-wt=7): 284 [] c_Com_Ocom_OWhile(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 158.55/158.66  ** KEPT (pick-wt=8): 285 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCond(B,C,D).
% 158.55/158.66  ** KEPT (pick-wt=8): 286 [] c_Com_Ocom_OCond(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 158.55/158.66  ** KEPT (pick-wt=7): 287 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OAss(B,C).
% 158.55/158.66  ** KEPT (pick-wt=7): 288 [] c_Com_Ocom_OAss(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 158.55/158.66  ** KEPT (pick-wt=8): 289 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OLocal(B,C,D).
% 158.55/158.66  ** KEPT (pick-wt=7): 290 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OWhile(B,C).
% 158.55/158.66  ** KEPT (pick-wt=8): 291 [] c_Com_Ocom_OCall(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 158.55/158.66  ** KEPT (pick-wt=7): 292 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSemi(B,C).
% 158.55/158.66  ** KEPT (pick-wt=7): 293 [] c_Com_Ocom_OSemi(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 158.55/158.66  ** KEPT (pick-wt=8): 294 [] c_Com_Ocom_OLocal(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 158.55/158.66  ** KEPT (pick-wt=8): 295 [] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCall(B,C,D).
% 158.55/158.66    Following clause subsumed by 283 during input processing: 0 [flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSKIP.
% 158.55/158.66  ** KEPT (pick-wt=12): 296 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=15): 297 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=15): 298 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=8): 299 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,B,C).
% 158.55/158.66  ** KEPT (pick-wt=11): 300 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)).
% 158.55/158.66  ** KEPT (pick-wt=20): 301 [] hAPP(A,B)=hAPP(c_Option_Ooption_OSome(C),c_Map_Osko__Map__XdomD__1__1(B,A,D,C))| -hBOOL(c_in(B,c_Map_Odom(A,D,C),D)).
% 158.55/158.66  ** KEPT (pick-wt=21): 302 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=21): 303 [] 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)).
% 158.55/158.66  ** KEPT (pick-wt=7): 304 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,A,C)).
% 158.55/158.66  ** KEPT (pick-wt=7): 305 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,C,A)).
% 158.55/158.66  ** KEPT (pick-wt=8): 306 [] c_Com_OWT(c_Com_Ocom_OSemi(A,B))| -c_Com_OWT(B)| -c_Com_OWT(A).
% 158.55/158.66  ** KEPT (pick-wt=6): 307 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(A,B)).
% 158.55/158.66  ** KEPT (pick-wt=6): 308 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(B,A)).
% 158.55/158.66  ** KEPT (pick-wt=9): 309 [] c_Com_OWT(c_Com_Ocom_OCond(A,B,C))| -c_Com_OWT(C)| -c_Com_OWT(B).
% 158.55/158.66  ** KEPT (pick-wt=6): 310 [] c_Com_OWT(c_Com_Ocom_OWhile(A,B))| -c_Com_OWT(B).
% 158.55/158.66  ** KEPT (pick-wt=6): 311 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OWhile(B,A)).
% 158.55/158.66  ** KEPT (pick-wt=7): 312 [] c_Com_OWT(c_Com_Ocom_OLocal(A,B,C))| -c_Com_OWT(C).
% 158.55/158.66  ** KEPT (pick-wt=7): 313 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OLocal(B,C,A)).
% 158.55/158.66  ** KEPT (pick-wt=58): 314 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=5): 315 [] v_sko__Hoare__Mirabelle__Xsingle__stateE__1(A)!=A| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 158.55/158.66  ** KEPT (pick-wt=49): 316 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=39): 317 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=11): 318 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 158.55/158.66  ** KEPT (pick-wt=11): 319 [] -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).
% 158.55/158.66  ** KEPT (pick-wt=57): 320 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=16): 321 [] hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|hBOOL(c_in(B,c_Map_Odom(A,E,C),E)).
% 158.55/158.66  ** KEPT (pick-wt=20): 322 [] hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|c_Set_Oinsert(B,c_Map_Odom(A,E,C),E)=c_Map_Odom(A,E,C).
% 158.55/158.66  ** KEPT (pick-wt=24): 323 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=20): 324 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=9): 325 [] c_Com_OWT(c_Com_Ocom_OCall(A,B,C))| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,B)).
% 158.55/158.66  ** KEPT (pick-wt=9): 326 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,A))| -c_Com_OWT(c_Com_Ocom_OCall(B,A,C)).
% 158.55/158.66  ** KEPT (pick-wt=43): 327 [] 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).
% 158.55/158.66  ** KEPT (pick-wt=26): 328 [] 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.
% 158.55/158.67  ** KEPT (pick-wt=34): 329 [] 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.
% 158.55/158.67  ** KEPT (pick-wt=48): 330 [] 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.
% 158.55/158.67  ** KEPT (pick-wt=13): 332 [copy,331,flip.1] hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),c_Com_Osko__Com__XWTs__elim__cases__7__1(A))=hAPP(c_Com_Obody,A)| -c_Com_OWT(hAPP(c_Com_Ocom_OBODY,A)).
% 158.55/158.67  ** KEPT (pick-wt=22): 333 [] 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.
% 158.55/158.67  ** KEPT (pick-wt=16): 334 [] 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)).
% 158.55/158.67  ** KEPT (pick-wt=11): 335 [] hAPP(c_Com_Obody,A)!=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B)| -c_Com_OWT__bodies|c_Com_OWT(B).
% 158.55/158.67  ** KEPT (pick-wt=12): 336 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 158.55/158.67  ** KEPT (pick-wt=7): 337 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 158.55/158.67  ** KEPT (pick-wt=12): 338 [] hAPP(c_Option_Ooption_OSome(A),B)!=hAPP(c_Option_Ooption_OSome(A),C)|B=C.
% 158.55/158.67  ** KEPT (pick-wt=16): 339 [] 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)).
% 158.55/158.67  ** KEPT (pick-wt=10): 340 [] hAPP(c_Com_Ocom_OBODY,A)!=hAPP(c_Com_Ocom_OBODY,B)|A=B.
% 158.55/158.67  ** KEPT (pick-wt=22): 341 [] -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).
% 158.55/158.67  ** KEPT (pick-wt=6): 342 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 158.55/158.67  ** KEPT (pick-wt=6): 343 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 158.55/158.67  ** KEPT (pick-wt=6): 344 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 158.55/158.67  ** KEPT (pick-wt=6): 345 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 158.55/158.67  ** KEPT (pick-wt=6): 346 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 158.55/158.67  ** KEPT (pick-wt=8): 347 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 158.55/158.67  ** KEPT (pick-wt=6): 348 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 158.55/158.67  ** KEPT (pick-wt=6): 349 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 158.55/158.67  ** KEPT (pick-wt=6): 350 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 158.55/158.67  ** KEPT (pick-wt=6): 351 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 158.55/158.67  ** KEPT (pick-wt=6): 352 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 158.55/158.67  ** KEPT (pick-wt=6): 353 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 158.55/158.67  ** KEPT (pick-wt=5): 354 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(A))| -class_Finite__Set_Ofinite_Ofinite(A).
% 158.55/158.67  ** KEPT (pick-wt=10): 355 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 158.55/158.67    Following clause subsumed by 234 during input processing: 0 [copy,2,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 158.55/158.67    Following clause subsumed by 83 during input processing: 0 [copy,6,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 158.55/158.67    Following clause subsumed by 106 during input processing: 0 [copy,8,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 158.55/158.67    Following clause subsumed by 126 during input processing: 0 [copy,13,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 158.55/158.67    Following clause subsumed by 80 during input processing: 0 [copy,16,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 158.55/158.67    Following clause subsumed by 91 during input processing: 0 [copy,17,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 158.55/158.67    Following clause subsumed by 163 during input processing: 0 [copy,32,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 158.55/158.67    Following clause subsumed by 220 during input processing: 0 [copy,63,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 158.55/158.67    Following clause subsumed by 264 during input processing: 0 [copy,68,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 158.55/158.67    Following clause subsumed by 125 during input processing: 0 [copy,70,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 158.55/158.67    Following clause subsumed by 150 during input processing: 0 [copy,74,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 158.55/158.67  ** KEPT (pick-wt=17): 362 [copy,75,flip.1] c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B)!=c_Fun_Ofun__upd(C,D,hAPP(c_Option_Ooption_OSome(A),E),B,tc_Option_Ooption(A)).
% 158.55/158.67    Following clause subsumed by 95 during input processing: 0 [copy,76,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 158.55/158.67    Following clause subsumed by 159 during input processing: 0 [copy,78,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 158.55/158.67    Following clause subsumed by 16 during input processing: 0 [copy,80,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 158.55/158.67    Following clause subsumed by 6 during input processing: 0 [copy,83,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 158.55/158.67    Following clause subsumed by 17 during input processing: 0 [copy,91,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 158.55/158.67    Following clause subsumed by 203 during input processing: 0 [copy,94,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 158.55/158.67    Following clause subsumed by 76 during input processing: 0 [copy,95,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 158.55/158.67    Following clause subsumed by 8 during input processing: 0 [copy,106,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 158.55/158.67    Following clause subsumed by 164 during input processing: 0 [copy,114,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 158.55/158.67    Following clause subsumed by 70 during input processing: 0 [copy,125,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 158.55/158.67    Following clause subsumed by 13 during input processing: 0 [copy,126,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 158.55/158.67    Following clause subsumed by 74 during input processing: 0 [copy,150,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 158.55/158.67    Following clause subsumed by 78 during input processing: 0 [copy,159,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 158.55/158.67    Following clause subsumed by 32 during input processing: 0 [copy,163,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 158.55/158.67    Following clause subsumed by 114 during input processing: 0 [copy,164,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 158.55/158.67    Following clause subsumed by 193 during input processing: 0 [copy,186,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 158.55/158.67    Following clause subsumed by 186 during input processing: 0 [copy,193,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 158.55/158.67  193 back subsumes 67.
% 158.55/158.67  198 back subsumes 19.
% 158.55/158.67  200 back subsumes 93.
% 158.55/158.67    Following clause subsumed by 94 during input processing: 0 [copy,203,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 158.55/158.67    Following clause subsumed by 63 during input processing: 0 [copy,220,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 158.55/158.67    Following clause subsumed by 2 during input processing: 0 [copy,234,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 158.55/158.67    Following clause subsumed by 68 during input processing: 0 [copy,264,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 158.55/158.67    Following clause subsumed by 290 during input processing: 0 [copy,284,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OWhile(B,C).
% 158.55/158.67    Following clause subsumed by 286 during input processing: 0 [copy,285,flip.1] c_Com_Ocom_OCond(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 158.55/158.67    Following clause subsumed by 285 during input processing: 0 [copy,286,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCond(B,C,D).
% 158.55/158.67    Following clause subsumed by 288 during input processing: 0 [copy,287,flip.1] c_Com_Ocom_OAss(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 158.55/158.67    Following clause subsumed by 287 during input processing: 0 [copy,288,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OAss(B,C).
% 158.55/158.67    Following clause subsumed by 294 during input processing: 0 [copy,289,flip.1] c_Com_Ocom_OLocal(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 158.55/158.67    Following clause subsumed by 284 during input processing: 0 [copy,290,flip.1] c_Com_Ocom_OWhile(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 158.55/158.67    Following clause subsumed by 295 during input processing: 0 [copy,291,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCall(B,C,D).
% 158.55/158.67    Following clause subsumed by 293 during input processing: 0 [copy,292,flip.1] c_Com_Ocom_OSemi(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 158.55/158.67    Following clause subsumed by 292 during input processing: 0 [copy,293,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSemi(B,C).
% 158.55/158.67    Following clause subsumed by 289 during input processing: 0 [copy,294,flip.1] hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OLocal(B,C,D).
% 158.55/158.67    Following clause subsumed by 291 during input processing: 0 [copy,295,flip.1] c_Com_Ocom_OCall(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 158.55/158.67    Following clause subsumed by 75 during input processing: 0 [copy,362,flip.1] c_Fun_Ofun__upd(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,tc_Option_Ooption(C))!=c_COMBK(c_Option_Ooption_ONone(C),tc_Option_Ooption(C),E).
% 158.55/158.67  
% 158.55/158.67  ------------> process sos:
% 158.55/158.67  ** KEPT (pick-wt=3): 392 [] A=A.
% 158.55/158.67  ** KEPT (pick-wt=14): 393 [] 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)).
% 158.55/158.67  ---> New Demodulator: 394 [new_demod,393] 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)).
% 158.55/158.67  ** KEPT (pick-wt=14): 395 [] 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)).
% 158.55/158.67  ---> New Demodulator: 396 [new_demod,395] 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)).
% 158.55/158.67  ** KEPT (pick-wt=19): 398 [copy,397,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)).
% 158.55/158.67  ---> New Demodulator: 399 [new_demod,398] 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)).
% 158.55/158.67  ** KEPT (pick-wt=19): 401 [copy,400,demod,399] 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)).
% 158.55/158.67  ** KEPT (pick-wt=13): 402 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),C))|hBOOL(hAPP(A,C)).
% 158.55/158.67  ** KEPT (pick-wt=37): 403 [] c_Map_Omap__add(c_Fun_Ofun__upd(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,tc_Option_Ooption(C)),F,E,C)=c_Fun_Ofun__upd(c_Map_Omap__add(A,F,E,C),B,hAPP(c_Option_Ooption_OSome(C),D),E,tc_Option_Ooption(C))|hBOOL(c_in(B,c_Map_Odom(F,E,C),E)).
% 158.55/158.67  ** KEPT (pick-wt=43): 405 [copy,404,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,B,K)),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K).
% 158.55/158.67  ---> New Demodulator: 406 [new_demod,405] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,B,K)),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K).
% 158.55/158.67  ** KEPT (pick-wt=34): 408 [copy,407,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L).
% 158.55/158.67  ---> New Demodulator: 409 [new_demod,408] hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L).
% 158.55/158.67  ** KEPT (pick-wt=13): 410 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 158.55/158.67  ---> New Demodulator: 411 [new_demod,410] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 158.55/158.67  ** KEPT (pick-wt=28): 413 [copy,412,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 158.55/158.67  ---> New Demodulator: 414 [new_demod,413] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=28): 416 [copy,415,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ---> New Demodulator: 417 [new_demod,416] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=8): 418 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 158.55/158.67  ---> New Demodulator: 419 [new_demod,418] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 158.55/158.67  ** KEPT (pick-wt=8): 420 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 158.55/158.67    Following clause subsumed by 420 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 158.55/158.67    Following clause subsumed by 420 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 158.55/158.67  ** KEPT (pick-wt=22): 421 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 158.55/158.67  ** KEPT (pick-wt=15): 422 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 158.55/158.67  ** KEPT (pick-wt=22): 423 [] 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).
% 158.55/158.67  ** KEPT (pick-wt=8): 424 [] hAPP(c_COMBK(A,B,C),D)=A.
% 158.55/158.67  ---> New Demodulator: 425 [new_demod,424] hAPP(c_COMBK(A,B,C),D)=A.
% 158.55/158.67  ** KEPT (pick-wt=19): 426 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 158.55/158.67  ** KEPT (pick-wt=14): 427 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D)).
% 158.55/158.67  ** KEPT (pick-wt=12): 428 [] c_Map_Omap__add(A,c_COMBK(c_Option_Ooption_ONone(B),tc_Option_Ooption(B),C),C,B)=A.
% 158.55/158.67  ---> New Demodulator: 429 [new_demod,428] c_Map_Omap__add(A,c_COMBK(c_Option_Ooption_ONone(B),tc_Option_Ooption(B),C),C,B)=A.
% 158.55/158.67  ** KEPT (pick-wt=12): 430 [] c_Map_Omap__add(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),C,B,A)=C.
% 158.55/158.67  ---> New Demodulator: 431 [new_demod,430] c_Map_Omap__add(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),C,B,A)=C.
% 158.55/158.67  ** KEPT (pick-wt=9): 432 [] c_Option_Ooption_Ooption__rec(A,B,c_Option_Ooption_ONone(C),D,C)=A.
% 158.55/158.67  ---> New Demodulator: 433 [new_demod,432] c_Option_Ooption_Ooption__rec(A,B,c_Option_Ooption_ONone(C),D,C)=A.
% 158.55/158.67  ** KEPT (pick-wt=23): 434 [] 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)).
% 158.55/158.67  ** KEPT (pick-wt=23): 435 [] 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)).
% 158.55/158.67  ---> New Demodulator: 436 [new_demod,435] 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)).
% 158.55/158.67  ** KEPT (pick-wt=11): 437 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=11): 438 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=13): 439 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=53): 441 [copy,440,demod,436] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ---> New Demodulator: 442 [new_demod,441] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=22): 444 [copy,443,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 158.55/158.67  ---> New Demodulator: 445 [new_demod,444] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=12): 446 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 158.55/158.67  ---> New Demodulator: 447 [new_demod,446] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 158.55/158.67  ** KEPT (pick-wt=21): 448 [] c_Map_Odom(c_Map_Omap__add(A,B,C,D),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(B,C,D),c_Map_Odom(A,C,D),tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=9): 449 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=28): 450 [] c_lesse_quals(c_Set_Oimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=8): 451 [] hBOOL(c_in(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)).
% 158.55/158.67  ** KEPT (pick-wt=15): 452 [] c_Map_Omap__comp(A,c_COMBK(c_Option_Ooption_ONone(B),tc_Option_Ooption(B),t_a),v_x,B,C,t_a)=c_Option_Ooption_ONone(C).
% 158.55/158.67  ** KEPT (pick-wt=15): 453 [] c_Map_Omap__comp(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),C,v_x,B,A,t_a)=c_Option_Ooption_ONone(A).
% 158.55/158.67  ---> New Demodulator: 454 [new_demod,453] c_Map_Omap__comp(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),C,v_x,B,A,t_a)=c_Option_Ooption_ONone(A).
% 158.55/158.67  ** KEPT (pick-wt=19): 456 [copy,455,flip.1] c_Map_Omap__add(c_Map_Omap__add(A,B,C,D),E,C,D)=c_Map_Omap__add(A,c_Map_Omap__add(B,E,C,D),C,D).
% 158.55/158.67  ---> New Demodulator: 457 [new_demod,456] c_Map_Omap__add(c_Map_Omap__add(A,B,C,D),E,C,D)=c_Map_Omap__add(A,c_Map_Omap__add(B,E,C,D),C,D).
% 158.55/158.67  ** KEPT (pick-wt=26): 458 [] 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.
% 158.55/158.67  ** KEPT (pick-wt=13): 459 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 158.55/158.67  ---> New Demodulator: 460 [new_demod,459] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 158.55/158.67  ** KEPT (pick-wt=23): 461 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ---> New Demodulator: 462 [new_demod,461] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=23): 463 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=14): 464 [] hBOOL(c_in(A,c_Map_Odom(B,C,D),C))|hAPP(B,A)=c_Option_Ooption_ONone(D).
% 158.55/158.67  ** KEPT (pick-wt=18): 465 [] 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).
% 158.55/158.67  ---> New Demodulator: 466 [new_demod,465] 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).
% 158.55/158.67  ** KEPT (pick-wt=11): 467 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 158.55/158.67  ---> New Demodulator: 468 [new_demod,467] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 158.55/158.67  ** KEPT (pick-wt=11): 469 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 158.55/158.67  ---> New Demodulator: 470 [new_demod,469] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 158.55/158.67  ** KEPT (pick-wt=7): 471 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)).
% 158.55/158.67  ** KEPT (pick-wt=7): 472 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),A),A)).
% 158.55/158.67  ** KEPT (pick-wt=5): 473 [] hBOOL(c_Option_Ois__none(c_Option_Ooption_ONone(A),A)).
% 158.55/158.67  ** KEPT (pick-wt=9): 474 [] c_Option_Ooption_Ooption__case(A,B,c_Option_Ooption_ONone(C),D,C)=A.
% 158.55/158.67  ---> New Demodulator: 475 [new_demod,474] c_Option_Ooption_Ooption__case(A,B,c_Option_Ooption_ONone(C),D,C)=A.
% 158.55/158.67  ** KEPT (pick-wt=14): 476 [] 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).
% 158.55/158.67  ---> New Demodulator: 477 [new_demod,476] 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).
% 158.55/158.67  ** KEPT (pick-wt=10): 478 [] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 158.55/158.67  ---> New Demodulator: 479 [new_demod,478] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 158.55/158.67  ** KEPT (pick-wt=10): 480 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 158.55/158.67  ---> New Demodulator: 481 [new_demod,480] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 158.55/158.67    Following clause subsumed by 392 during input processing: 0 [demod,479] A=A.
% 158.55/158.67    Following clause subsumed by 392 during input processing: 0 [demod,481] C=C.
% 158.55/158.67    Following clause subsumed by 392 during input processing: 0 [demod,479] A=A.
% 158.55/158.67  ** KEPT (pick-wt=21): 482 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 158.55/158.67  ** KEPT (pick-wt=21): 483 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool))|hBOOL(c_in(A,D,C)).
% 158.55/158.67  ** KEPT (pick-wt=19): 484 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSemi(I,J),K)=hAPP(hAPP(D,I),J).
% 158.55/158.67  ** KEPT (pick-wt=13): 485 [] 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)).
% 158.55/158.67  ** KEPT (pick-wt=22): 486 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 158.55/158.67  ** KEPT (pick-wt=17): 487 [] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=9): 488 [] c_Option_Omap(A,c_Option_Ooption_ONone(B),B,C)=c_Option_Ooption_ONone(C).
% 158.55/158.67  ** KEPT (pick-wt=18): 489 [] 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)).
% 158.55/158.67  ---> New Demodulator: 490 [new_demod,489] 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)).
% 158.55/158.67  ** KEPT (pick-wt=11): 492 [copy,491,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).
% 158.55/158.67  ---> New Demodulator: 493 [new_demod,492] 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).
% 158.55/158.67  ** KEPT (pick-wt=12): 495 [copy,494,flip.1] hAPP(hAPP(c_fe_qual(tc_Option_Ooption(t_a)),v_x),c_Option_Ooption_ONone(t_a))=c_Option_Ois__none(v_x,t_a).
% 158.55/158.67  ---> New Demodulator: 496 [new_demod,495] hAPP(hAPP(c_fe_qual(tc_Option_Ooption(t_a)),v_x),c_Option_Ooption_ONone(t_a))=c_Option_Ois__none(v_x,t_a).
% 158.55/158.67  ** KEPT (pick-wt=19): 497 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 158.55/158.67  ** KEPT (pick-wt=31): 499 [copy,498,flip.1] hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K).
% 158.55/158.67  ---> New Demodulator: 500 [new_demod,499] hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K).
% 158.55/158.67  ** KEPT (pick-wt=46): 502 [copy,501,flip.1] hAPP(hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,C,L)),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L).
% 158.55/158.67  ---> New Demodulator: 503 [new_demod,502] hAPP(hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,C,L)),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L).
% 158.55/158.67  ** KEPT (pick-wt=26): 504 [] c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),C,hAPP(c_Option_Ooption_OSome(A),D),B,tc_Option_Ooption(A)),B,A)=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 158.55/158.67    Following clause subsumed by 392 during input processing: 0 [demod,419] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=12): 505 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=11): 506 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 158.55/158.67  ---> New Demodulator: 507 [new_demod,506] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 158.55/158.67  ** KEPT (pick-wt=11): 508 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 158.55/158.67  ---> New Demodulator: 509 [new_demod,508] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 158.55/158.67  ** KEPT (pick-wt=6): 510 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 158.55/158.67  ** KEPT (pick-wt=14): 511 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 158.55/158.67  ---> New Demodulator: 512 [new_demod,511] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=14): 513 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 158.55/158.67  ---> New Demodulator: 514 [new_demod,513] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=9): 515 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 158.55/158.67    Following clause subsumed by 422 during input processing: 0 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 158.55/158.67  ** KEPT (pick-wt=8): 516 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 158.55/158.67  ** KEPT (pick-wt=22): 517 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=25): 518 [] 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)).
% 158.55/158.67  ** KEPT (pick-wt=19): 520 [copy,519,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).
% 158.55/158.67  ---> New Demodulator: 521 [new_demod,520] 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).
% 158.55/158.67  ** KEPT (pick-wt=14): 522 [] c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),B,A)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=22): 523 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OLocal(I,J,K),L)=hAPP(hAPP(hAPP(C,I),J),K).
% 158.55/158.67  ** KEPT (pick-wt=19): 524 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OWhile(I,J),K)=hAPP(hAPP(F,I),J).
% 158.55/158.67  ** KEPT (pick-wt=11): 525 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=11): 526 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=9): 527 [] c_lesse_quals(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=21): 528 [] 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)).
% 158.55/158.67  ** KEPT (pick-wt=16): 529 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSKIP,B,C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C).
% 158.55/158.67  ** KEPT (pick-wt=28): 530 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 158.55/158.67  ---> New Demodulator: 531 [new_demod,530] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=28): 532 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ---> New Demodulator: 533 [new_demod,532] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 158.55/158.67  ** KEPT (pick-wt=7): 534 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 158.55/158.67  ** KEPT (pick-wt=29): 535 [] c_Map_Omap__add(A,c_Fun_Ofun__upd(B,C,hAPP(c_Option_Ooption_OSome(D),E),F,tc_Option_Ooption(D)),F,D)=c_Fun_Ofun__upd(c_Map_Omap__add(A,B,F,D),C,hAPP(c_Option_Ooption_OSome(D),E),F,tc_Option_Ooption(D)).
% 158.55/158.67  ---> New Demodulator: 536 [new_demod,535] c_Map_Omap__add(A,c_Fun_Ofun__upd(B,C,hAPP(c_Option_Ooption_OSome(D),E),F,tc_Option_Ooption(D)),F,D)=c_Fun_Ofun__upd(c_Map_Omap__add(A,B,F,D),C,hAPP(c_Option_Ooption_OSome(D),E),F,tc_Option_Ooption(D)).
% 158.55/158.68  ** KEPT (pick-wt=18): 537 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 158.55/158.68  ---> New Demodulator: 538 [new_demod,537] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 158.55/158.68  ** KEPT (pick-wt=8): 539 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 158.55/158.68  ---> New Demodulator: 540 [new_demod,539] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 158.55/158.68  ** KEPT (pick-wt=6): 541 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 158.55/158.68    Following clause subsumed by 541 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 158.55/158.68    Following clause subsumed by 420 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)).
% 158.55/158.68  ** KEPT (pick-wt=22): 542 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCond(I,J,K),L)=hAPP(hAPP(hAPP(E,I),J),K).
% 158.55/158.68  ** KEPT (pick-wt=15): 543 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 158.55/158.68    Following clause subsumed by 543 during input processing: 0 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 158.55/158.68  ** KEPT (pick-wt=19): 544 [] hAPP(c_Map_Omap__add(A,B,C,D),E)=hAPP(B,E)|hBOOL(c_in(E,c_Map_Odom(A,C,D),C)).
% 158.55/158.68  ** KEPT (pick-wt=19): 545 [] hAPP(c_Map_Omap__add(A,B,C,D),E)=hAPP(A,E)|hBOOL(c_in(E,c_Map_Odom(B,C,D),C)).
% 158.55/158.68  ** KEPT (pick-wt=9): 546 [] hAPP(c_Option_Othe(A),hAPP(c_Option_Ooption_OSome(A),B))=B.
% 158.55/158.68  ---> New Demodulator: 547 [new_demod,546] hAPP(c_Option_Othe(A),hAPP(c_Option_Ooption_OSome(A),B))=B.
% 158.55/158.68  ** KEPT (pick-wt=13): 548 [] c_Option_Ooption_Ooption__rec(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,C)=hAPP(B,D).
% 158.55/158.68    Following clause subsumed by 392 during input processing: 0 [demod,481] hAPP(c_Option_Ooption_OSome(C),D)=hAPP(c_Option_Ooption_OSome(C),D).
% 158.55/158.68  ** KEPT (pick-wt=7): 549 [] c_Fun_Oinj__on(c_Option_Ooption_OSome(A),B,A,tc_Option_Ooption(A)).
% 158.55/158.68  ** KEPT (pick-wt=13): 550 [] c_Option_Ooption_Ooption__case(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,C)=hAPP(B,D).
% 158.55/158.68  ** KEPT (pick-wt=15): 551 [] c_Option_Omap(A,hAPP(c_Option_Ooption_OSome(B),C),B,D)=hAPP(c_Option_Ooption_OSome(D),hAPP(A,C)).
% 158.55/158.68  ** KEPT (pick-wt=17): 552 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,hAPP(c_Com_Ocom_OBODY,I),J)=hAPP(G,I).
% 158.55/158.68  ** KEPT (pick-wt=17): 553 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,hAPP(c_Com_Ocom_OBODY,I),J)=hAPP(G,I).
% 158.55/158.68  ** KEPT (pick-wt=16): 554 [] c_Map_Odom(c_COMBK(hAPP(c_Option_Ooption_OSome(A),B),tc_Option_Ooption(A),C),C,A)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 158.55/158.68  ** KEPT (pick-wt=2): 555 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 158.55/158.68  ** KEPT (pick-wt=4): 556 [] c_Com_OWT(c_Com_Ocom_OAss(A,B)).
% 158.55/158.68    Following clause subsumed by 392 during input processing: 0 [demod,493] hAPP(c_Hoare__Mirabelle_OMGT,v_c)=hAPP(c_Hoare__Mirabelle_OMGT,v_c).
% 158.55/158.68  ** KEPT (pick-wt=26): 557 [] 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).
% 158.55/158.68  ---> New Demodulator: 558 [new_demod,557] 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).
% 158.55/158.68  ** KEPT (pick-wt=16): 559 [] c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 158.55/158.68  ** KEPT (pick-wt=6): 560 [] c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname).
% 158.55/158.68  ** KEPT (pick-wt=10): 561 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,A))|hAPP(c_Com_Obody,A)=c_Option_Ooption_ONone(tc_Com_Ocom).
% 158.55/158.68  ** KEPT (pick-wt=20): 563 [copy,562,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).
% 158.55/158.68  ---> New Demodulator: 564 [new_demod,563] 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).
% 158.55/158.68  ** KEPT (pick-wt=8): 565 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B).
% 158.55/158.68  ** KEPT (pick-wt=4): 566 [] c_Hoare__Mirabelle_Ostate__not__singleton|A=B.
% 158.55/158.68  ** KEPT (pick-wt=14): 567 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 158.55/158.68  ---> New Demodulator: 568 [new_demod,567] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 158.55/158.68  ** KEPT (pick-wt=13): 569 [] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 158.55/158.68  ** KEPT (pick-wt=13): 570 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 158.55/158.68  ** KEPT (pick-wt=1): 571 [] c_Hoare__Mirabelle_Ostate__not__singleton.
% 158.55/158.68  ** KEPT (pick-wt=1): 572 [] c_Com_OWT__bodies.
% 158.55/158.68  ** KEPT (pick-wt=2): 573 [] c_Com_OWT(v_c).
% 158.55/158.68  ** KEPT (pick-wt=8): 575 [copy,574,flip.1] hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)=hAPP(c_Com_Obody,v_pn).
% 158.55/158.68  ---> New Demodulator: 576 [new_demod,575] hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)=hAPP(c_Com_Obody,v_pn).
% 158.55/158.68  ** KEPT (pick-wt=2): 577 [] class_Lattices_Oupper__semilattice(tc_nat).
% 158.55/158.68  ** KEPT (pick-wt=2): 578 [] class_Lattices_Olower__semilattice(tc_nat).
% 158.55/158.68  ** KEPT (pick-wt=2): 579 [] class_Lattices_Odistrib__lattice(tc_nat).
% 158.55/158.68  ** KEPT (pick-wt=2): 580 [] class_Orderings_Opreorder(tc_nat).
% 158.55/158.68  ** KEPT (pick-wt=2): 581 [] class_Orderings_Olinorder(tc_nat).
% 158.55/158.68  ** KEPT (pick-wt=2): 582 [] class_Lattices_Olattice(tc_nat).
% 158.55/158.68  ** KEPT (pick-wt=2): 583 [] class_Orderings_Oorder(tc_nat).
% 158.55/158.68  ** KEPT (pick-wt=2): 584 [] class_Orderings_Obot(tc_nat).
% 158.55/158.68  ** KEPT (pick-wt=2): 585 [] class_HOL_Oord(tc_nat).
% 158.55/158.68  ** KEPT (pick-wt=2): 586 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 587 [] class_Lattices_Oupper__semilattice(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 588 [] class_Lattices_Olower__semilattice(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 589 [] class_Lattices_Odistrib__lattice(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 590 [] class_Lattices_Obounded__lattice(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 591 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 592 [] class_Orderings_Opreorder(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 593 [] class_Lattices_Olattice(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 594 [] class_Orderings_Oorder(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 595 [] class_Orderings_Otop(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 596 [] class_Orderings_Obot(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=2): 597 [] class_HOL_Oord(tc_bool).
% 158.55/158.68  ** KEPT (pick-wt=13): 598 [] c_COMBC(A,B,C,D,E,F)=hAPP(hAPP(A,C),B).
% 158.55/158.68    Following clause subsumed by 392 during input processing: 0 [demod,568] hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 158.55/158.68  ** KEPT (pick-wt=7): 599 [] hBOOL(hAPP(hAPP(c_fe_qual(A),B),B)).
% 158.55/158.68    Following clause subsumed by 392 during input processing: 0 [copy,392,flip.1] A=A.
% 158.55/158.68  392 back subsumes 372.
% 158.55/158.68  392 back subsumes 370.
% 158.55/158.68  392 back subsumes 369.
% 158.55/158.68  392 back subsumes 368.
% 158.55/158.68  392 back subsumes 359.
% 158.55/158.68  >>>> Starting back demodulation with 394.
% 158.55/158.68  >>>> Starting back demodulation with 396.
% 158.55/158.68  >>>> Starting back demodulation with 399.
% 158.55/158.68  ** KEPT (pick-wt=19): 600 [copy,401,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)).
% 158.55/158.68  >>>> Starting back demodulation with 406.
% 158.55/158.68  >>>> Starting back demodulation with 409.
% 158.55/158.68  >>>> Starting back demodulation with 411.
% 158.55/158.68  >>>> Starting back demodulation with 414.
% 158.55/158.68  >>>> Starting back demodulation with 417.
% 158.55/158.68  >>>> Starting back demodulation with 419.
% 158.55/158.68      >> back demodulating 378 with 419.
% 158.55/158.68      >> back demodulating 365 with 419.
% 158.55/158.68      >> back demodulating 364 with 419.
% 158.55/158.68      >> back demodulating 363 with 419.
% 158.55/158.68      >> back demodulating 360 with 419.
% 158.55/158.68  ** KEPT (pick-wt=22): 601 [copy,421,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,G,H,I,J,K,A,c_Com_Ocom_OCall(B,C,D),L).
% 158.55/158.68    Following clause subsumed by 422 during input processing: 0 [copy,422,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 158.55/158.68  >>>> Starting back demodulation with 425.
% 158.55/158.68  ** KEPT (pick-wt=19): 602 [copy,426,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,A,E,F,G,H,I,J,c_Com_Ocom_OAss(B,C),K).
% 158.55/158.68  >>>> Starting back demodulation with 429.
% 158.55/158.68  >>>> Starting back demodulation with 431.
% 158.55/158.68  >>>> Starting back demodulation with 433.
% 158.55/158.68    Following clause subsumed by 434 during input processing: 0 [copy,434,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)).
% 158.55/158.68  >>>> Starting back demodulation with 436.
% 158.55/158.68    Following clause subsumed by 439 during input processing: 0 [copy,439,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 158.55/158.68  >>>> Starting back demodulation with 442.
% 158.55/158.68  >>>> Starting back demodulation with 445.
% 158.55/158.68      >> back demodulating 207 with 445.
% 158.55/158.68      >> back demodulating 205 with 445.
% 158.55/158.68  >>>> Starting back demodulation with 447.
% 158.55/158.68      >> back demodulating 390 with 447.
% 158.55/158.68      >> back demodulating 377 with 447.
% 158.55/158.68      >> back demodulating 376 with 447.
% 158.55/158.68      >> back demodulating 375 with 447.
% 158.55/158.68      >> back demodulating 374 with 447.
% 158.55/158.68  ** KEPT (pick-wt=21): 609 [copy,448,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(A,B,C),c_Map_Odom(D,B,C),tc_fun(B,tc_bool))=c_Map_Odom(c_Map_Omap__add(D,A,B,C),B,C).
% 158.55/158.68  ** KEPT (pick-wt=15): 610 [copy,452,flip.1] c_Option_Ooption_ONone(A)=c_Map_Omap__comp(B,c_COMBK(c_Option_Ooption_ONone(C),tc_Option_Ooption(C),t_a),v_x,C,A,t_a).
% 158.55/158.68  >>>> Starting back demodulation with 454.
% 158.55/158.68  >>>> Starting back demodulation with 457.
% 158.55/158.68  >>>> Starting back demodulation with 460.
% 158.55/158.68  >>>> Starting back demodulation with 462.
% 158.55/158.68      >> back demodulating 441 with 462.
% 158.55/158.68    Following clause subsumed by 463 during input processing: 0 [copy,463,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 158.55/158.68  >>>> Starting back demodulation with 466.
% 158.55/158.68  >>>> Starting back demodulation with 468.
% 158.55/158.68  >>>> Starting back demodulation with 470.
% 158.55/158.68  >>>> Starting back demodulation with 475.
% 158.55/158.68      >> back demodulating 35 with 475.
% 158.55/158.68  >>>> Starting back demodulation with 477.
% 158.55/158.68  >>>> Starting back demodulation with 479.
% 158.55/158.68  >>>> Starting back demodulation with 481.
% 158.55/158.68      >> back demodulating 278 with 481.
% 158.55/158.68  ** KEPT (pick-wt=19): 613 [copy,484,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K).
% 158.55/158.68    Following clause subsumed by 485 during input processing: 0 [copy,485,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)).
% 158.55/158.68  ** KEPT (pick-wt=22): 614 [copy,486,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__rec(E,F,G,H,I,J,K,A,c_Com_Ocom_OCall(B,C,D),L).
% 158.55/158.68  ** KEPT (pick-wt=17): 615 [copy,487,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 158.55/158.68  ** KEPT (pick-wt=9): 616 [copy,488,flip.1] c_Option_Ooption_ONone(A)=c_Option_Omap(B,c_Option_Ooption_ONone(C),C,A).
% 158.55/158.68  >>>> Starting back demodulation with 490.
% 158.55/158.68  >>>> Starting back demodulation with 493.
% 158.55/158.68  >>>> Starting back demodulation with 496.
% 158.55/158.68  ** KEPT (pick-wt=19): 617 [copy,497,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__rec(D,A,E,F,G,H,I,J,c_Com_Ocom_OAss(B,C),K).
% 158.55/158.68  >>>> Starting back demodulation with 500.
% 158.55/158.68  >>>> Starting back demodulation with 503.
% 158.55/158.68  ** KEPT (pick-wt=26): 618 [copy,504,flip.1] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)=c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(C),tc_Option_Ooption(C),B),A,hAPP(c_Option_Ooption_OSome(C),D),B,tc_Option_Ooption(C)),B,C).
% 158.55/158.68  >>>> Starting back demodulation with 507.
% 158.55/158.68  >>>> Starting back demodulation with 509.
% 158.55/158.68  >>>> Starting back demodulation with 512.
% 158.55/158.68  >>>> Starting back demodulation with 514.
% 158.55/158.68  515 back subsumes 505.
% 158.55/158.68  ** KEPT (pick-wt=25): 619 [copy,518,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).
% 158.55/158.68  >>>> Starting back demodulation with 521.
% 158.55/158.68      >> back demodulating 72 with 521.
% 158.55/158.68  ** KEPT (pick-wt=14): 621 [copy,522,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(B),tc_Option_Ooption(B),A),A,B).
% 158.55/158.68  ** KEPT (pick-wt=22): 622 [copy,523,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L).
% 158.55/158.68  ** KEPT (pick-wt=19): 623 [copy,524,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K).
% 158.55/158.68  >>>> Starting back demodulation with 531.
% 158.55/158.68      >> back demodulating 416 with 531.
% 158.55/158.68      >> back demodulating 413 with 531.
% 158.55/158.68  >>>> Starting back demodulation with 533.
% 158.55/158.68      >> back demodulating 90 with 533.
% 158.55/158.68      >> back demodulating 89 with 533.
% 158.55/158.68  >>>> Starting back demodulation with 536.
% 158.55/158.68  >>>> Starting back demodulation with 538.
% 158.55/158.68  >>>> Starting back demodulation with 540.
% 158.55/158.68      >> back demodulating 383 with 540.
% 158.55/158.68      >> back demodulating 382 with 540.
% 158.55/158.68      >> back demodulating 381 with 540.
% 158.55/158.68      >> back demodulating 380 with 540.
% 158.55/158.68      >> back demodulating 367 with 540.
% 158.55/158.68      >> back demodulating 356 with 540.
% 158.55/158.68  ** KEPT (pick-wt=22): 631 [copy,542,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L).
% 158.55/158.68  >>>> Starting back demodulation with 547.
% 158.55/158.68  ** KEPT (pick-wt=13): 632 [copy,548,flip.1] hAPP(A,B)=c_Option_Ooption_Ooption__rec(C,A,hAPP(c_Option_Ooption_OSome(D),B),E,D).
% 158.55/158.68  ** KEPT (pick-wt=13): 633 [copy,550,flip.1] hAPP(A,B)=c_Option_Ooption_Ooption__case(C,A,hAPP(c_Option_Ooption_OSome(D),B),E,D).
% 158.55/158.68  ** KEPT (pick-wt=15): 634 [copy,551,flip.1] hAPP(c_Option_Ooption_OSome(A),hAPP(B,C))=c_Option_Omap(B,hAPP(c_Option_Ooption_OSome(D),C),D,A).
% 158.55/158.68  ** KEPT (pick-wt=17): 635 [copy,552,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__rec(C,D,E,F,G,H,A,I,hAPP(c_Com_Ocom_OBODY,B),J).
% 158.55/158.68  ** KEPT (pick-wt=17): 636 [copy,553,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__case(C,D,E,F,G,H,A,I,hAPP(c_Com_Ocom_OBODY,B),J).
% 158.55/158.68  ** KEPT (pick-wt=16): 637 [copy,554,flip.1] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_Map_Odom(c_COMBK(hAPP(c_Option_Ooption_OSome(B),C),tc_Option_Ooption(B),A),A,B).
% 158.55/158.68  >>>> Starting back demodulation with 558.
% 158.55/158.68      >> back demodulating 197 with 558.
% 158.55/158.68    Following clause subsumed by 570 during input processing: 0 [copy,559,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(c_COMBK(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 158.55/158.68  >>>> Starting back demodulation with 564.
% 158.55/158.68      >> back demodulating 557 with 564.
% 158.55/158.68      >> back demodulating 341 with 564.
% 158.55/158.68      >> back demodulating 330 with 564.
% 158.55/158.68      >> back demodulating 320 with 564.
% 158.55/158.68  >>>> Starting back demodulation with 568.
% 158.55/158.68    Following clause subsumed by 570 during input processing: 0 [copy,569,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 158.55/158.68  569 back subsumes 559.
% 158.55/158.68    Following clause subsumed by 569 during input processing: 0 [copy,570,flip.1] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 158.55/158.68  571 back subsumes 566.
% 158.55/158.68  >>>> Starting back demodulation with 576.
% 158.55/158.68  ** KEPT (pick-wt=13): 641 [copy,598,flip.1] hAPP(hAPP(A,B),C)=c_COMBC(A,C,B,D,E,F).
% 158.55/158.68    Following clause subsumed by 401 during input processing: 0 [copy,600,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)).
% 158.55/158.68    Following clause subsumed by 421 during input processing: 0 [copy,601,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 158.55/158.68    Following clause subsumed by 426 during input processing: 0 [copy,602,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 158.55/158.68    Following clause subsumed by 448 during input processing: 0 [copy,609,flip.1] c_Map_Odom(c_Map_Omap__add(A,B,C,D),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(B,C,D),c_Map_Odom(A,C,D),tc_fun(C,tc_bool)).
% 159.13/159.26    Following clause subsumed by 452 during input processing: 0 [copy,610,flip.1] c_Map_Omap__comp(A,c_COMBK(c_Option_Ooption_ONone(B),tc_Option_Ooption(B),t_a),v_x,B,C,t_a)=c_Option_Ooption_ONone(C).
% 159.13/159.26  >>>> Starting back demodulation with 612.
% 159.13/159.26    Following clause subsumed by 484 during input processing: 0 [copy,613,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSemi(I,J),K)=hAPP(hAPP(D,I),J).
% 159.13/159.26    Following clause subsumed by 486 during input processing: 0 [copy,614,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 159.13/159.26    Following clause subsumed by 487 during input processing: 0 [copy,615,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 159.13/159.26    Following clause subsumed by 488 during input processing: 0 [copy,616,flip.1] c_Option_Omap(A,c_Option_Ooption_ONone(B),B,C)=c_Option_Ooption_ONone(C).
% 159.13/159.26    Following clause subsumed by 497 during input processing: 0 [copy,617,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 159.13/159.26    Following clause subsumed by 504 during input processing: 0 [copy,618,flip.1] c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),C,hAPP(c_Option_Ooption_OSome(A),D),B,tc_Option_Ooption(A)),B,A)=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 159.13/159.26    Following clause subsumed by 518 during input processing: 0 [copy,619,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)).
% 159.13/159.26    Following clause subsumed by 522 during input processing: 0 [copy,621,flip.1] c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(A),tc_Option_Ooption(A),B),B,A)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 159.13/159.26    Following clause subsumed by 523 during input processing: 0 [copy,622,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OLocal(I,J,K),L)=hAPP(hAPP(hAPP(C,I),J),K).
% 159.13/159.26    Following clause subsumed by 524 during input processing: 0 [copy,623,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OWhile(I,J),K)=hAPP(hAPP(F,I),J).
% 159.13/159.26  >>>> Starting back demodulation with 625.
% 159.13/159.26  >>>> Starting back demodulation with 627.
% 159.13/159.26    Following clause subsumed by 542 during input processing: 0 [copy,631,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCond(I,J,K),L)=hAPP(hAPP(hAPP(E,I),J),K).
% 159.13/159.26    Following clause subsumed by 548 during input processing: 0 [copy,632,flip.1] c_Option_Ooption_Ooption__rec(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,C)=hAPP(B,D).
% 159.13/159.26    Following clause subsumed by 550 during input processing: 0 [copy,633,flip.1] c_Option_Ooption_Ooption__case(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,C)=hAPP(B,D).
% 159.13/159.26    Following clause subsumed by 551 during input processing: 0 [copy,634,flip.1] c_Option_Omap(A,hAPP(c_Option_Ooption_OSome(B),C),B,D)=hAPP(c_Option_Ooption_OSome(D),hAPP(A,C)).
% 159.13/159.26    Following clause subsumed by 552 during input processing: 0 [copy,635,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,hAPP(c_Com_Ocom_OBODY,I),J)=hAPP(G,I).
% 159.13/159.26    Following clause subsumed by 553 during input processing: 0 [copy,636,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,hAPP(c_Com_Ocom_OBODY,I),J)=hAPP(G,I).
% 159.13/159.26    Following clause subsumed by 554 during input processing: 0 [copy,637,flip.1] c_Map_Odom(c_COMBK(hAPP(c_Option_Ooption_OSome(A),B),tc_Option_Ooption(A),C),C,A)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 159.13/159.26    Following clause subsumed by 598 during input processing: 0 [copy,641,flip.1] c_COMBC(A,B,C,D,E,F)=hAPP(hAPP(A,C),B).
% 159.13/159.26  
% 159.13/159.26  ======= end of input processing =======
% 159.13/159.26  
% 159.13/159.26  =========== start of search ===========
% 159.13/159.26  
% 159.13/159.26  
% 159.13/159.26  Resetting weight limit to 2.
% 159.13/159.26  
% 159.13/159.26  
% 159.13/159.26  Resetting weight limit to 2.
% 159.13/159.26  
% 159.13/159.26  sos_size=175
% 159.13/159.26  
% 159.13/159.26  Search stopped in tp_alloc by max_mem option.
% 159.13/159.26  
% 159.13/159.26  Search stopped in tp_alloc by max_mem option.
% 159.13/159.26  
% 159.13/159.26  ============ end of search ============
% 159.13/159.26  
% 159.13/159.26  -------------- statistics -------------
% 159.13/159.26  clauses given                157
% 159.13/159.26  clauses generated          56468
% 159.13/159.26  clauses kept                 565
% 159.13/159.26  clauses forward subsumed     143
% 159.13/159.26  clauses back subsumed         11
% 159.13/159.26  Kbytes malloced            11718
% 159.13/159.26  
% 159.13/159.26  ----------- times (seconds) -----------
% 159.13/159.26  user CPU time          0.65          (0 hr, 0 min, 0 sec)
% 159.13/159.26  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 159.13/159.26  wall-clock time      159             (0 hr, 2 min, 39 sec)
% 159.13/159.26  
% 159.13/159.26  Process 24265 finished Wed Jul 27 06:08:08 2022
% 159.13/159.26  Otter interrupted
% 159.13/159.26  PROOF NOT FOUND
%------------------------------------------------------------------------------