TSTP Solution File: SWV914-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV914-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n003.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 13:21:46 EDT 2022

% Result   : Unknown 162.13s 162.14s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV914-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 06:07:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 162.07/162.09  ----- Otter 3.3f, August 2004 -----
% 162.07/162.09  The process was started by sandbox on n003.cluster.edu,
% 162.07/162.09  Wed Jul 27 06:07:26 2022
% 162.07/162.09  The command was "./otter".  The process ID is 17021.
% 162.07/162.09  
% 162.07/162.09  set(prolog_style_variables).
% 162.07/162.09  set(auto).
% 162.07/162.09     dependent: set(auto1).
% 162.07/162.09     dependent: set(process_input).
% 162.07/162.09     dependent: clear(print_kept).
% 162.07/162.09     dependent: clear(print_new_demod).
% 162.07/162.09     dependent: clear(print_back_demod).
% 162.07/162.09     dependent: clear(print_back_sub).
% 162.07/162.09     dependent: set(control_memory).
% 162.07/162.09     dependent: assign(max_mem, 12000).
% 162.07/162.09     dependent: assign(pick_given_ratio, 4).
% 162.07/162.09     dependent: assign(stats_level, 1).
% 162.07/162.09     dependent: assign(max_seconds, 10800).
% 162.07/162.09  clear(print_given).
% 162.07/162.09  
% 162.07/162.09  list(usable).
% 162.07/162.09  0 [] A=A.
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Otop__class_Otop(T_a).
% 162.07/162.09  0 [] -class_Orderings_Otop(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))).
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=V_x.
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=V_x.
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B)!=c_Orderings_Otop__class_Otop(T_a)|V_A=c_Orderings_Otop__class_Otop(T_a).
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B)!=c_Orderings_Otop__class_Otop(T_a)|V_B=c_Orderings_Otop__class_Otop(T_a).
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=c_Orderings_Otop__class_Otop(T_a).
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=c_Orderings_Otop__class_Otop(T_a).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(T_b),hAPP(V_M,V_i)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b)))| -hBOOL(c_in(V_i,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool))))| -hBOOL(c_in(V_a,V_A,T_a)).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),tc_fun(T_a,tc_bool)),V_B)=hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)| -hBOOL(c_in(V_x,V_B,T_a)).
% 162.07/162.09  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_xa))| -hBOOL(c_in(V_xa,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),V_A)).
% 162.07/162.09  0 [] c_Collect(V_P,T_a)=V_P.
% 162.07/162.09  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 162.07/162.09  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 162.07/162.09  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A)).
% 162.07/162.09  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)| -c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 162.07/162.09  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),hAPP(V_A,V_i)))| -hBOOL(c_in(V_i,V_I,T_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_b,tc_fun(T_a,tc_bool)))).
% 162.07/162.09  0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),T_a)).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),V_c,c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(T_a),c_Complete__Lattice_OInf__class_OInf(T_a),c_COMBC(c_lesse_quals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a),c_Orderings_Obot__class_Obot(T_a),T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofold1(V_f,V_A,T_a)=c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))),V_B)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))),V_B)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))),V_B))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))).
% 162.07/162.09  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)=V_A.
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 162.07/162.09  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=V_c|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 162.07/162.09  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 162.07/162.09  0 [] c_COMBI(V_P,T_a)=V_P.
% 162.07/162.09  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 162.07/162.09  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)),V_B)=hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(c_HOL_Ominus__class_Ominus(V_xa,T_a),V_y)!=hAPP(c_HOL_Ominus__class_Ominus(V_x,T_a),V_x)|V_xa=V_y.
% 162.07/162.09  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(c_HOL_Ominus__class_Ominus(V_x,T_a),V_x)!=hAPP(c_HOL_Ominus__class_Ominus(V_x_H,T_a),V_y_H)|V_x_H=V_y_H.
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Olinorder__class_OMax(V_M,T_a)),c_Finite__Set_Olinorder__class_OMax(V_N,T_a)))| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_M),V_N)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_x| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)!=V_x|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ominus__class_Ominus(V_B,tc_fun(T_a,tc_bool)),V_A))=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)))).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)),V_A)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 162.07/162.09  0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,hAPP(c_COMBB(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)),V_B)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=V_c|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)))|hBOOL(c_in(V_x,V_A,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)|hBOOL(c_in(V_a,V_A,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)|hBOOL(c_in(V_a,V_C,T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 162.07/162.09  0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))| -hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_B,tc_fun(T_a,tc_bool)),V_A)),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ominus__class_Ominus(V_B,tc_fun(T_a,tc_bool)),V_A))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] -class_HOL_Ominus(T_b)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(t_a,T_b)),V_B),v_x)=hAPP(c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),T_b),hAPP(V_B,v_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_C)),hAPP(c_HOL_Ominus__class_Ominus(V_B,tc_fun(T_a,tc_bool)),V_C)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(V_A,V_x)),V_B))| -hBOOL(c_in(V_x,V_I,T_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool))),V_B)).
% 162.07/162.09  0 [] hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x)=V_c.
% 162.07/162.09  0 [] hBOOL(c_in(V_b,hAPP(V_B,V_a),T_a))| -hBOOL(c_in(V_a,V_A,T_b))| -hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)).
% 162.07/162.09  0 [] -hBOOL(c_in(V_a,V_A,T_b))|hBOOL(c_in(V_b,hAPP(V_B,V_a),T_a))| -hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)).
% 162.07/162.09  0 [] c_The(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=V_a.
% 162.07/162.09  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B)=V_B.
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 162.07/162.09  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.
% 162.07/162.09  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.
% 162.07/162.09  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.
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),T_b)| -c_Finite__Set_Ofinite(hAPP(V_A,V_x),T_b)| -hBOOL(c_in(V_x,V_I,T_a)).
% 162.07/162.09  0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)).
% 162.07/162.09  0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 162.07/162.09  0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 162.07/162.09  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 162.07/162.09  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 162.07/162.09  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(T_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_a,T_b)),hAPP(V_M,V_i)))| -hBOOL(c_in(V_i,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool))),hAPP(V_B,V_a)))| -hBOOL(c_in(V_a,V_A,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B)=V_B.
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 162.07/162.09  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B))=hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)),V_C)=hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)),hAPP(c_HOL_Ominus__class_Ominus(V_C,tc_fun(T_a,tc_bool)),V_D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_D),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 162.07/162.09  0 [] -hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)))).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),tc_fun(T_a,tc_bool)),V_B).
% 162.07/162.09  0 [] hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_l,T_a))| -hBOOL(c_List_Olistsp(V_B,V_l,T_a))| -hBOOL(c_List_Olistsp(V_A,V_l,T_a)).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=V_x.
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)).
% 162.07/162.09  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y.
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] V_A=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] V_A=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y.
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=V_x.
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_x)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))=V_A.
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_x| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=V_y|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=V_B|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,hAPP(c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,hAPP(c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,V_B,T_b,tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,hAPP(c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_A),T_b,tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Collect(c_COMBK(c_False,tc_bool,T_a),T_a).
% 162.07/162.09  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).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Olinorder__class_OMin(V_N,T_a)),c_Finite__Set_Olinorder__class_OMin(V_M,T_a)))| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_M),V_N)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a)),V_a))| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),V_A)),V_x))| -hBOOL(c_in(V_x,V_A,T_a)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(c_in(V_a,V_C,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_a,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 162.07/162.09  0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 162.07/162.09  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 162.07/162.09  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,hAPP(c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_A),T_b,tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 162.07/162.09  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 162.07/162.09  0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ominus__class_Ominus(V_B,tc_fun(T_a,tc_bool)),V_A))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 162.07/162.09  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)).
% 162.07/162.09  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),tc_fun(T_a,tc_bool)),V_B)=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B))|hBOOL(c_in(V_x,V_B,T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)),V_C)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_a)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_b)).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 162.07/162.09  0 [] -class_HOL_Oord(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(T_b),hAPP(V_f,V_x)),hAPP(V_g,V_x)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_f),V_g)).
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x.
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x.
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=c_Orderings_Obot__class_Obot(T_a).
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a).
% 162.07/162.09  0 [] -class_Orderings_Obot(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 162.07/162.09  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_top| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_bot| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 162.07/162.09  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 162.07/162.09  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)).
% 162.07/162.09  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 162.07/162.09  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 162.07/162.09  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 162.07/162.09  0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 162.07/162.09  0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),V_A)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=V_B.
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_A)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(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)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A)).
% 162.07/162.09  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)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,hAPP(c_COMBC(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a,tc_fun(T_a,tc_bool))=V_A.
% 162.07/162.09  0 [] c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))),V_B)).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_D)).
% 162.07/162.09  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 162.07/162.09  0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)),V_B)).
% 162.07/162.09  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)!=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,hAPP(c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),hAPP(c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,hAPP(c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,hAPP(c_COMBB(hAPP(c_Set_Oinsert(T_b),V_a),tc_fun(T_b,tc_bool),tc_fun(T_b,tc_bool),T_a),V_B),T_a,tc_fun(T_b,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))| -hBOOL(c_in(V_u,V_A,T_a)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,hAPP(c_COMBB(hAPP(c_Set_Oinsert(T_b),V_a),tc_fun(T_b,tc_bool),tc_fun(T_b,tc_bool),T_a),V_B),T_a,tc_fun(T_b,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))| -hBOOL(c_in(V_u,V_A,T_a)).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),T_a),V_P)),V_Q),T_a),T_a)| -c_Finite__Set_Ofinite(c_Collect(V_Q,T_a),T_a)| -c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(c_Collect(V_Q,T_a),T_a)| -c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),T_a),V_P)),V_Q),T_a),T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a)| -c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),T_a),V_P)),V_Q),T_a),T_a).
% 162.07/162.09  0 [] c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),T_a),V_P)),V_Q),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(V_P,T_a)),c_Collect(V_Q,T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_A)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_B)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 162.07/162.09  0 [] c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a)=c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a).
% 162.07/162.09  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 162.07/162.09  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 162.07/162.09  0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x)=hAPP(V_f,hAPP(V_g,v_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_x,V_B,T_a)).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),T_a)| -c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),T_a)| -c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),T_a).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,hAPP(c_COMBB(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x.
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)).
% 162.07/162.09  0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_x),V_x)).
% 162.07/162.09  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_x,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_A)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_P),V_Q)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_P),V_Q))| -hBOOL(hAPP(V_P,V_x)).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -c_Finite__Set_Ofinite(V_B,T_a).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(c_COMBB(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,V_B,T_b,tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(c_in(V_a,V_A,T_a))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)).
% 162.07/162.09  0 [] -hBOOL(c_in(V_a,V_A,T_a))|hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_C)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ominus__class_Ominus(V_B,tc_fun(T_a,tc_bool)),V_C)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_B,V_M,T_b,tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 162.07/162.09  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,V_A,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 162.07/162.09  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 162.07/162.09  0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)).
% 162.07/162.09  0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B)),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_C)).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(c_COMBB(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] c_The(hAPP(c_fe_qual(T_a),V_x),T_a)=V_x.
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Olinorder__class_OMin(V_A,T_a)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_B,tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(V_C,tc_fun(T_a,tc_bool)),V_A))=V_A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 162.07/162.09  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(c_HOL_Ominus__class_Ominus(V_x,T_a),V_y)!=hAPP(c_HOL_Ominus__class_Ominus(V_x_H,T_a),V_y_H)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y_H),V_x_H))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(c_HOL_Ominus__class_Ominus(V_x,T_a),V_y)!=hAPP(c_HOL_Ominus__class_Ominus(V_x_H,T_a),V_y_H)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y_H),V_x_H)).
% 162.07/162.09  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(c_HOL_Ominus__class_Ominus(V_x,T_a),V_y)!=hAPP(c_HOL_Ominus__class_Ominus(V_x_H,T_a),V_y_H)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(c_HOL_Ominus__class_Ominus(V_x,T_a),V_y)!=hAPP(c_HOL_Ominus__class_Ominus(V_x_H,T_a),V_y_H)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))|V_a=V_b| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a))|V_a=V_b.
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))|V_a=V_b| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))|V_a=V_b.
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Finite__Set_Olinorder__class_OMax(V_A,T_a)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A)))| -hBOOL(c_in(V_x,V_A,T_a)).
% 162.07/162.09  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 162.07/162.09  0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 162.07/162.09  0 [] c_COMBI(v_P,t_a)=v_P.
% 162.07/162.09  0 [] hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),v_Q).
% 162.07/162.09  0 [] hAPP(V_g,hAPP(V_h,c_List_Osko__List__Xfoldl__apply__inv__1__1(V_g,V_h,T_b,T_a)))!=c_List_Osko__List__Xfoldl__apply__inv__1__1(V_g,V_h,T_b,T_a)|c_List_Ofoldl(V_f,hAPP(V_g,V_s),V_xs,T_a,T_c)=hAPP(V_g,c_List_Ofoldl(hAPP(c_COMBB(c_COMBB(V_h,T_a,T_b,T_c),tc_fun(T_c,T_a),tc_fun(T_c,T_b),T_b),hAPP(c_COMBB(V_f,T_a,tc_fun(T_c,T_a),T_b),V_g)),V_s,V_xs,T_b,T_c)).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,c_COMBK(c_COMBK(c_True,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__SkipI__1(V_P,V_Q)),v_sko__Hoare__Mirabelle__Xhoare__SkipI__2(V_P,V_Q))).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,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))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a)),V_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__SkipI__1(V_P,V_Q)),v_sko__Hoare__Mirabelle__Xhoare__SkipI__2(V_P,V_Q))).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,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))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OCond(V_b,V_c,V_d),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),V_d,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 162.07/162.09  0 [] c_List_Olistsp(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),t_a),V_A)),V_B),v_x,t_a)=hAPP(hAPP(c_and,c_List_Olistsp(V_A,v_x,t_a)),c_List_Olistsp(V_B,v_x,t_a)).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),T_a),V_P)),V_Q),T_a),T_a)| -c_Finite__Set_Ofinite(c_Collect(V_Q,T_a),T_a).
% 162.07/162.09  0 [] c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),T_a),V_P)),V_Q),T_a),T_a)| -c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a).
% 162.07/162.09  0 [] c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),T_a),V_P)),V_Q),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Collect(V_P,T_a)),c_Collect(V_Q,T_a)).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_COMBC(hAPP(c_COMBB(c_COMBS(tc_Com_Ostate,tc_bool,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),T_a),hAPP(c_COMBB(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),T_a),V_P)),T_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBB(c_Not,tc_bool,tc_bool,tc_Com_Ostate),V_b)),c_Com_Ocom_OWhile(V_b,V_c),V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 162.07/162.09  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).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(T_a).
% 162.07/162.09  0 [] c_Collect(hAPP(c_fe_qual(T_a),V_a),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] V_A=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))).
% 162.07/162.09  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 162.07/162.09  0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a.
% 162.07/162.09  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))).
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)).
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 162.07/162.09  0 [] c_The(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 162.07/162.09  0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),tc_fun(T_a,tc_bool)),V_B).
% 162.07/162.09  0 [] hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 162.07/162.09  0 [] V_a=V_b| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)).
% 162.07/162.09  0 [] c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 162.07/162.09  0 [] V_y=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)).
% 162.07/162.09  0 [] V_b=V_a| -hBOOL(c_in(V_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 162.07/162.09  0 [] c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 162.07/162.09  0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(c_HOL_Ominus__class_Ominus(V_A,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 162.07/162.09  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A).
% 162.07/162.09  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a.
% 162.07/162.09  0 [] c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),T_a),hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a))),V_P),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(V_P,V_a)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,hAPP(c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,V_B,T_b,tc_fun(T_a,tc_bool))).
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_C,hAPP(c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] hAPP(c_HOL_Oord__class_Oless(tc_bool),v_P)=hAPP(c_and,hAPP(c_Not,v_P)).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c))).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)| -hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(hAPP(c_COMBS(T_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBB(c_COMBS(tc_Com_Ostate,tc_bool,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),T_a),hAPP(c_COMBB(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),T_a),V_P))),V_P_H),V_c,hAPP(hAPP(c_COMBS(T_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBB(c_COMBS(tc_Com_Ostate,tc_bool,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),T_a),hAPP(c_COMBB(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),T_a),V_Q))),V_Q_H),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),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))),T_a).
% 162.07/162.09  0 [] hAPP(c_COMBK(v_P,t_a,t_b),v_Q)=v_P.
% 162.07/162.09  0 [] c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),T_a),hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a))),V_P),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))| -hBOOL(hAPP(V_P,V_a)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),hAPP(c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.09  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),V_B),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 162.07/162.09  0 [] c_List_Ofilter(V_P,c_List_Ofilter(V_Q,V_xs,T_a),T_a)=c_List_Ofilter(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),T_a),V_Q)),V_P),V_xs,T_a).
% 162.07/162.09  0 [] hAPP(hAPP(c_COMBB(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(v_P,hAPP(v_Q,v_R)).
% 162.07/162.09  0 [] hAPP(hAPP(hAPP(c_COMBS(t_a,t_b,t_c),v_P),v_Q),v_R)=hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)).
% 162.07/162.09  0 [] c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),T_a),hAPP(c_fe_qual(T_a),V_a))),V_P),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(V_P,V_a)).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),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))),T_a).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),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))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),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))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),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))),T_a).
% 162.07/162.09  0 [] c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),T_a),hAPP(c_fe_qual(T_a),V_a))),V_P),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))| -hBOOL(hAPP(V_P,V_a)).
% 162.07/162.09  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 162.07/162.10  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a).
% 162.07/162.10  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)).
% 162.07/162.10  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).
% 162.07/162.10  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 162.07/162.10  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.
% 162.07/162.10  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.
% 162.07/162.10  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.
% 162.07/162.10  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_b=V_d.
% 162.07/162.10  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_b=V_d.
% 162.07/162.10  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_a=V_c.
% 162.07/162.10  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_a=V_c.
% 162.07/162.10  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 162.07/162.10  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).
% 162.07/162.10  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)).
% 162.07/162.10  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A).
% 162.07/162.10  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 162.07/162.10  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A))=hAPP(hAPP(c_Set_Oinsert(T_a),V_y),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)).
% 162.07/162.10  0 [] hAPP(hAPP(c_COMBB(V_P,T_b,T_a,T_c),V_Q),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 162.07/162.10  0 [] hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 162.07/162.10  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 162.07/162.10  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_a=V_b.
% 162.07/162.10  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a).
% 162.07/162.10  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 162.07/162.10  0 [] c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 162.10/162.10  0 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_COMBB(hAPP(c_COMBS(tc_Com_Ostate,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),hAPP(c_fe_qual(tc_Com_Ostate),V_s_H))),tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_P),v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.10  0 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a).
% 162.10/162.10  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 162.10/162.10  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 162.10/162.10  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 162.10/162.10  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 162.10/162.10  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 162.10/162.10  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).
% 162.10/162.10  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 162.10/162.10  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 162.10/162.10  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 162.10/162.10  0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 162.10/162.10  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 162.10/162.10  0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 162.10/162.10  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 162.10/162.10  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 162.10/162.10  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 162.10/162.10  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 162.10/162.10  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 162.10/162.10  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 162.10/162.10  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 162.10/162.10  0 [] class_Orderings_Opreorder(tc_bool).
% 162.10/162.10  0 [] class_Lattices_Olattice(tc_bool).
% 162.10/162.10  0 [] class_Orderings_Oorder(tc_bool).
% 162.10/162.10  0 [] class_Orderings_Otop(tc_bool).
% 162.10/162.10  0 [] class_Orderings_Obot(tc_bool).
% 162.10/162.10  0 [] class_HOL_Ominus(tc_bool).
% 162.10/162.10  0 [] class_HOL_Oord(tc_bool).
% 162.10/162.10  0 [] hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 162.10/162.10  0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 162.10/162.10  0 [] hAPP(hAPP(c_COMBB(V_P,T_b,T_a,T_c),V_Q),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 162.10/162.10  0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 162.10/162.10  0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 162.10/162.10  end_of_list.
% 162.10/162.10  
% 162.10/162.10  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 162.10/162.10  
% 162.10/162.10  This ia a non-Horn set with equality.  The strategy will be
% 162.10/162.10  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 162.10/162.10  deletion, with positive clauses in sos and nonpositive
% 162.10/162.10  clauses in usable.
% 162.10/162.10  
% 162.10/162.10     dependent: set(knuth_bendix).
% 162.10/162.10     dependent: set(anl_eq).
% 162.10/162.10     dependent: set(para_from).
% 162.10/162.10     dependent: set(para_into).
% 162.10/162.10     dependent: clear(para_from_right).
% 162.10/162.10     dependent: clear(para_into_right).
% 162.10/162.10     dependent: set(para_from_vars).
% 162.10/162.10     dependent: set(eq_units_both_ways).
% 162.10/162.10     dependent: set(dynamic_demod_all).
% 162.10/162.10     dependent: set(dynamic_demod).
% 162.10/162.10     dependent: set(order_eq).
% 162.10/162.10     dependent: set(back_demod).
% 162.10/162.10     dependent: set(lrpo).
% 162.10/162.10     dependent: set(hyper_res).
% 162.10/162.10     dependent: set(unit_deletion).
% 162.10/162.10     dependent: set(factor).
% 162.10/162.10  
% 162.10/162.10  ------------> process usable:
% 162.10/162.10  ** KEPT (pick-wt=12): 2 [copy,1,flip.2] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Orderings_Otop__class_Otop(A)=hAPP(c_Complete__Lattice_OInf__class_OInf(A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 162.10/162.10  ** KEPT (pick-wt=10): 3 [] -class_Orderings_Otop(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Orderings_Otop__class_Otop(A))).
% 162.10/162.10  ** KEPT (pick-wt=11): 4 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Otop__class_Otop(A)),B)=B.
% 162.10/162.10  ** KEPT (pick-wt=11): 5 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Otop__class_Otop(A))=B.
% 162.10/162.10  ** KEPT (pick-wt=15): 6 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|B=c_Orderings_Otop__class_Otop(A).
% 162.10/162.10  ** KEPT (pick-wt=15): 7 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|C=c_Orderings_Otop__class_Otop(A).
% 162.10/162.10  ** KEPT (pick-wt=12): 8 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Otop__class_Otop(A)),B)=c_Orderings_Otop__class_Otop(A).
% 162.10/162.10  ** KEPT (pick-wt=12): 9 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Otop__class_Otop(A))=c_Orderings_Otop__class_Otop(A).
% 162.10/162.10  ** KEPT (pick-wt=20): 10 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A)))| -hBOOL(c_in(C,D,E)).
% 162.10/162.10  ** KEPT (pick-wt=22): 11 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool))))| -hBOOL(c_in(C,D,E)).
% 162.10/162.10  ** KEPT (pick-wt=25): 12 [] hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),tc_fun(A,tc_bool)),D)=hAPP(c_HOL_Ominus__class_Ominus(C,tc_fun(A,tc_bool)),D)| -hBOOL(c_in(B,D,A)).
% 162.10/162.10  ** KEPT (pick-wt=5): 13 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 162.10/162.10  ** KEPT (pick-wt=34): 14 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(c_in(C,D,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),D,A)))|D=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(D,A).
% 162.10/162.10  ** KEPT (pick-wt=6): 15 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 162.10/162.10  ** KEPT (pick-wt=12): 16 [] c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),C),B)| -c_Finite__Set_Ofinite(A,B).
% 162.10/162.10  ** KEPT (pick-wt=21): 17 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OInf__class_OInf(A),hAPP(hAPP(c_Set_Oinsert(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(c_Complete__Lattice_OInf__class_OInf(A),C)).
% 162.10/162.10  ** KEPT (pick-wt=10): 18 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 162.10/162.10  ** KEPT (pick-wt=10): 19 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 162.10/162.10  ** KEPT (pick-wt=7): 20 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 162.10/162.10  ** KEPT (pick-wt=21): 21 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),hAPP(hAPP(c_Set_Oinsert(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(c_Complete__Lattice_OSup__class_OSup(A),C)).
% 162.10/162.10  ** KEPT (pick-wt=8): 22 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 162.10/162.10  ** KEPT (pick-wt=15): 23 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),C),B)| -c_Finite__Set_Ofinite(C,B).
% 162.10/162.10    Following clause subsumed by 16 during input processing: 0 [] c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),C),B)| -c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B).
% 162.10/162.10  ** KEPT (pick-wt=22): 24 [] c_Finite__Set_Ofinite(hAPP(A,B),C)| -hBOOL(c_in(B,D,E))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,A,E,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(D,E).
% 162.10/162.10  ** KEPT (pick-wt=25): 25 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(c_in(E,A,C)).
% 162.10/162.10  ** KEPT (pick-wt=8): 26 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 162.10/162.10  ** KEPT (pick-wt=16): 27 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(C,tc_bool)),D),C)).
% 162.10/162.10  ** KEPT (pick-wt=31): 28 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(C,D)))| -hBOOL(c_in(D,E,F))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,C,F,tc_fun(A,tc_bool)))).
% 162.10/162.10  ** KEPT (pick-wt=16): 29 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(c_HOL_Ominus__class_Ominus(D,tc_fun(C,tc_bool)),B),C)).
% 162.10/162.10  ** KEPT (pick-wt=63): 30 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a),C,c_COMBK(hAPP(D,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.10  ** KEPT (pick-wt=28): 31 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(A),c_Complete__Lattice_OInf__class_OInf(A),c_COMBC(c_lesse_quals(A),A,A,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(A),A,A,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(A),c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Otop__class_Otop(A),c_Orderings_Obot__class_Obot(A),A).
% 162.10/162.10  ** KEPT (pick-wt=42): 32 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))),D)).
% 162.10/162.10    Following clause subsumed by 32 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))),D)).
% 162.10/162.10  ** KEPT (pick-wt=42): 33 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))),D))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))).
% 162.10/162.10  ** KEPT (pick-wt=6): 34 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 162.10/162.10  ** KEPT (pick-wt=22): 35 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(A,tc_bool)),C)=B.
% 162.10/162.10  ** KEPT (pick-wt=23): 36 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 162.10/162.10  ** KEPT (pick-wt=30): 38 [copy,37,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 162.10/162.10  ** KEPT (pick-wt=30): 39 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 162.10/162.10  ** KEPT (pick-wt=18): 40 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),c_Collect(A,C)),C)).
% 162.10/162.10  ** KEPT (pick-wt=18): 41 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 162.10/162.10  ** KEPT (pick-wt=10): 42 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 162.10/162.10  ** KEPT (pick-wt=23): 43 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 162.10/162.10  ** KEPT (pick-wt=23): 44 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C)).
% 162.10/162.10  ** KEPT (pick-wt=9): 45 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 162.10/162.10  ** KEPT (pick-wt=9): 46 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 162.10/162.10  ** KEPT (pick-wt=6): 47 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 162.10/162.10  ** KEPT (pick-wt=16): 48 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 162.10/162.10  ** KEPT (pick-wt=16): 49 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 162.10/162.10    Following clause subsumed by 48 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 162.10/162.10  ** KEPT (pick-wt=16): 50 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 162.10/162.10    Following clause subsumed by 48 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.10    Following clause subsumed by 50 during input processing: 0 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.10    Following clause subsumed by 48 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 162.10/162.10  ** KEPT (pick-wt=16): 51 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.10  ** KEPT (pick-wt=16): 52 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(c_HOL_Ominus__class_Ominus(B,A),C)!=hAPP(c_HOL_Ominus__class_Ominus(D,A),D)|B=C.
% 162.10/162.10  ** KEPT (pick-wt=16): 53 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(c_HOL_Ominus__class_Ominus(B,A),B)!=hAPP(c_HOL_Ominus__class_Ominus(C,A),D)|C=D.
% 162.10/162.10  ** KEPT (pick-wt=31): 54 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Olinorder__class_OMax(B,A)),c_Finite__Set_Olinorder__class_OMax(C,A)))| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 162.10/162.10  ** KEPT (pick-wt=25): 55 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 162.10/162.10  ** KEPT (pick-wt=25): 56 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 162.10/162.10  ** KEPT (pick-wt=25): 57 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 162.10/162.10  ** KEPT (pick-wt=25): 58 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 162.10/162.10  ** KEPT (pick-wt=17): 59 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),C)).
% 162.10/162.10  ** KEPT (pick-wt=17): 60 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),C)).
% 162.10/162.10  ** KEPT (pick-wt=19): 61 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 162.10/162.10  ** KEPT (pick-wt=19): 62 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 162.10/162.10  ** KEPT (pick-wt=17): 63 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.10  ** KEPT (pick-wt=17): 64 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.10  ** KEPT (pick-wt=17): 65 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 162.10/162.10  ** KEPT (pick-wt=34): 66 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 162.10/162.10    Following clause subsumed by 66 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 162.10/162.10  ** KEPT (pick-wt=28): 67 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 162.10/162.10  ** KEPT (pick-wt=14): 68 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))).
% 162.10/162.10  ** KEPT (pick-wt=14): 69 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B))).
% 162.10/162.10    Following clause subsumed by 67 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 162.10/162.10    Following clause subsumed by 67 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 162.10/162.10  ** KEPT (pick-wt=14): 70 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B))).
% 162.10/162.10  ** KEPT (pick-wt=14): 71 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))).
% 162.10/162.10  ** KEPT (pick-wt=15): 72 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 162.10/162.10  ** KEPT (pick-wt=15): 73 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 162.10/162.10  ** KEPT (pick-wt=28): 74 [] c_Complete__Lattice_Ocomplete__lattice(A,B,c_COMBC(C,D,D,tc_bool),c_COMBC(E,D,D,tc_bool),F,G,H,I,D)| -c_Complete__Lattice_Ocomplete__lattice(B,A,C,E,G,F,I,H,D).
% 162.10/162.10  ** KEPT (pick-wt=25): 75 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ominus__class_Ominus(C,tc_fun(A,tc_bool)),B))=C| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 162.10/162.10  ** KEPT (pick-wt=6): 77 [copy,76,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 162.10/162.10  ** KEPT (pick-wt=34): 78 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))).
% 162.10/162.10  ** KEPT (pick-wt=11): 79 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 162.10/162.10  ** KEPT (pick-wt=11): 80 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 162.10/162.10  ** KEPT (pick-wt=21): 81 [] hBOOL(c_in(A,hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(C,tc_bool)),D),C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,B,C)).
% 162.10/162.10    Following clause subsumed by 81 during input processing: 0 [] hBOOL(c_in(A,hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(C,tc_bool)),D),C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,B,C)).
% 162.10/162.10  ** KEPT (pick-wt=19): 82 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),hAPP(hAPP(c_Set_Oinsert(C),A),D)),B)).
% 162.10/162.10  ** KEPT (pick-wt=18): 83 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 162.10/162.10  ** KEPT (pick-wt=28): 84 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A)).
% 162.10/162.10  ** KEPT (pick-wt=28): 85 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))|hBOOL(c_in(D,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),D),C))).
% 162.10/162.10    Following clause subsumed by 84 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A)).
% 162.10/162.10    Following clause subsumed by 85 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),D),C)))|hBOOL(c_in(D,B,A)).
% 162.10/162.10  ** KEPT (pick-wt=23): 86 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 162.10/162.10    Following clause subsumed by 86 during input processing: 0 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 162.10/162.10  ** KEPT (pick-wt=21): 87 [] -class_HOL_Ominus(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(t_a,A)),C),v_x)=hAPP(c_HOL_Ominus__class_Ominus(hAPP(B,v_x),A),hAPP(C,v_x)).
% 162.10/162.10  ** KEPT (pick-wt=25): 88 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C))).
% 162.10/162.10  ** KEPT (pick-wt=25): 89 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))).
% 162.10/162.10  ** KEPT (pick-wt=21): 90 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))).
% 162.10/162.10  ** KEPT (pick-wt=21): 91 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))).
% 162.10/162.10  ** KEPT (pick-wt=21): 92 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 162.10/162.10  ** KEPT (pick-wt=21): 93 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D)).
% 162.10/162.10    Following clause subsumed by 90 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))).
% 162.10/162.10    Following clause subsumed by 91 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))).
% 162.10/162.11  ** KEPT (pick-wt=31): 94 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(B,C)),D))| -hBOOL(c_in(C,E,F))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,B,F,tc_fun(A,tc_bool))),D)).
% 162.10/162.11  ** KEPT (pick-wt=23): 95 [] hBOOL(c_in(A,hAPP(B,C),D))| -hBOOL(c_in(C,E,F))| -hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,B,F,tc_fun(D,tc_bool)),D)).
% 162.10/162.11    Following clause subsumed by 95 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(D,hAPP(E,A),F))| -hBOOL(c_in(D,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,E,C,tc_fun(F,tc_bool)),F)).
% 162.10/162.11    Following clause subsumed by 95 during input processing: 0 [] hBOOL(c_in(A,hAPP(B,C),D))| -hBOOL(c_in(C,E,F))| -hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,B,F,tc_fun(D,tc_bool)),D)).
% 162.10/162.11  ** KEPT (pick-wt=8): 96 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 162.10/162.11  ** KEPT (pick-wt=29): 97 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool))| -hBOOL(c_in(C,D,E)).
% 162.10/162.11  ** KEPT (pick-wt=12): 98 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 162.10/162.11  ** KEPT (pick-wt=12): 99 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 162.10/162.11  ** KEPT (pick-wt=12): 100 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 162.10/162.11  ** KEPT (pick-wt=16): 101 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 162.10/162.11    Following clause subsumed by 101 during input processing: 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 162.10/162.11  ** KEPT (pick-wt=31): 102 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B)).
% 162.10/162.11  ** KEPT (pick-wt=31): 103 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(D,B,A)),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A))).
% 162.10/162.11  ** KEPT (pick-wt=31): 104 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A)),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A))).
% 162.10/162.11  ** KEPT (pick-wt=40): 105 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),D),B)).
% 162.10/162.11  ** KEPT (pick-wt=40): 106 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),D),B)).
% 162.10/162.11  ** KEPT (pick-wt=19): 107 [] c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,C,tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(hAPP(B,E),D)| -hBOOL(c_in(E,A,C)).
% 162.10/162.11  ** KEPT (pick-wt=24): 108 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=19): 109 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),A),B)).
% 162.10/162.11  ** KEPT (pick-wt=15): 110 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 162.10/162.11  ** KEPT (pick-wt=15): 111 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 162.10/162.11  ** KEPT (pick-wt=22): 112 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=7): 113 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 162.10/162.11  ** KEPT (pick-wt=7): 114 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 162.10/162.11  ** KEPT (pick-wt=25): 115 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 162.10/162.11  ** KEPT (pick-wt=25): 116 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 162.10/162.11  ** KEPT (pick-wt=25): 117 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 162.10/162.11  ** KEPT (pick-wt=25): 118 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 162.10/162.11  ** KEPT (pick-wt=25): 119 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(c_in(E,B,D)).
% 162.10/162.11  ** KEPT (pick-wt=13): 120 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),B).
% 162.10/162.11  ** KEPT (pick-wt=13): 121 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),B).
% 162.10/162.11  ** KEPT (pick-wt=20): 122 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,C,D,A)),hAPP(C,E)))| -hBOOL(c_in(E,B,D)).
% 162.10/162.11  ** KEPT (pick-wt=22): 123 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,C,D,tc_fun(A,tc_bool))),hAPP(C,E)))| -hBOOL(c_in(E,B,D)).
% 162.10/162.11    Following clause subsumed by 13 during input processing: 0 [flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 162.10/162.11  ** KEPT (pick-wt=39): 124 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(A,tc_bool)),C)),hAPP(c_HOL_Ominus__class_Ominus(D,tc_fun(A,tc_bool)),E)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),E),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 162.10/162.11  ** KEPT (pick-wt=23): 125 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 162.10/162.11  ** KEPT (pick-wt=34): 126 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)))).
% 162.10/162.11  ** KEPT (pick-wt=22): 127 [] hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,A))| -hBOOL(c_List_Olistsp(C,D,A))| -hBOOL(c_List_Olistsp(B,D,A)).
% 162.10/162.11  ** KEPT (pick-wt=23): 128 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=9): 129 [] -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 162.10/162.11  ** KEPT (pick-wt=9): 130 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 162.10/162.11  ** KEPT (pick-wt=9): 131 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 162.10/162.11  ** KEPT (pick-wt=15): 132 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=B.
% 162.10/162.11  ** KEPT (pick-wt=18): 133 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.11  ** KEPT (pick-wt=19): 134 [] -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 162.10/162.11  ** KEPT (pick-wt=19): 135 [] -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=21): 136 [] A=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),B),A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 162.10/162.11    Following clause subsumed by 136 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),B),A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 162.10/162.11  ** KEPT (pick-wt=19): 137 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11    Following clause subsumed by 135 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 162.10/162.11    Following clause subsumed by 137 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11    Following clause subsumed by 137 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 162.10/162.11    Following clause subsumed by 135 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.11    Following clause subsumed by 135 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.11  ** KEPT (pick-wt=15): 138 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=B.
% 162.10/162.11  ** KEPT (pick-wt=21): 139 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D)).
% 162.10/162.11  ** KEPT (pick-wt=21): 140 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 162.10/162.11  ** KEPT (pick-wt=16): 141 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=16): 142 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=17): 143 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 162.10/162.11  ** KEPT (pick-wt=17): 144 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=17): 145 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=19): 146 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=19): 147 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 162.10/162.11  ** KEPT (pick-wt=19): 148 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=C|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=31): 149 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Olinorder__class_OMin(B,A)),c_Finite__Set_Olinorder__class_OMin(C,A)))| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 162.10/162.11  ** KEPT (pick-wt=21): 150 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),B,A)),C))| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 162.10/162.11  ** KEPT (pick-wt=17): 151 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(c_Complete__Lattice_OInf__class_OInf(A),B)),C))| -hBOOL(c_in(C,B,A)).
% 162.10/162.11  ** KEPT (pick-wt=18): 152 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=18): 153 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=32): 154 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))| -hBOOL(c_in(B,D,A)).
% 162.10/162.11  ** KEPT (pick-wt=32): 155 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))| -hBOOL(c_in(C,B,A)).
% 162.10/162.11  ** KEPT (pick-wt=41): 156 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),E)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 162.10/162.11  ** KEPT (pick-wt=14): 157 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),B)).
% 162.10/162.11  ** KEPT (pick-wt=14): 158 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),C)).
% 162.10/162.11  ** KEPT (pick-wt=28): 159 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11    Following clause subsumed by 159 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11    Following clause subsumed by 159 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=14): 160 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),C)).
% 162.10/162.11  ** KEPT (pick-wt=14): 161 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),B)).
% 162.10/162.11  ** KEPT (pick-wt=23): 162 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(c_in(D,C,E))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 162.10/162.11  ** KEPT (pick-wt=23): 163 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(c_in(B,D,E))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E).
% 162.10/162.11  ** KEPT (pick-wt=15): 164 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 162.10/162.11  ** KEPT (pick-wt=15): 165 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 162.10/162.11  ** KEPT (pick-wt=8): 166 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 162.10/162.11  ** KEPT (pick-wt=10): 167 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 162.10/162.11  ** KEPT (pick-wt=10): 168 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 162.10/162.11  ** KEPT (pick-wt=20): 169 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 162.10/162.11  ** KEPT (pick-wt=20): 170 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 162.10/162.11    Following clause subsumed by 77 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 162.10/162.11  ** KEPT (pick-wt=21): 171 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 162.10/162.11    Following clause subsumed by 171 during input processing: 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 162.10/162.11  ** KEPT (pick-wt=8): 172 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 162.10/162.11  ** KEPT (pick-wt=5): 173 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 162.10/162.11    Following clause subsumed by 60 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),c_Collect(D,C)),C)).
% 162.10/162.11  ** KEPT (pick-wt=4): 175 [copy,174,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 162.10/162.11  ** KEPT (pick-wt=15): 176 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),A),B)).
% 162.10/162.11  ** KEPT (pick-wt=15): 177 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),D),B)).
% 162.10/162.11  ** KEPT (pick-wt=31): 178 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(A,tc_bool)),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))).
% 162.10/162.11  ** KEPT (pick-wt=31): 179 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(A,tc_bool)),C)),D)).
% 162.10/162.11  ** KEPT (pick-wt=21): 180 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=21): 181 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 162.10/162.11  ** KEPT (pick-wt=13): 182 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 162.10/162.11  ** KEPT (pick-wt=13): 183 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(B,A).
% 162.10/162.11  ** KEPT (pick-wt=22): 184 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(B,C)),hAPP(D,C)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(E,A)),B),D)).
% 162.10/162.11  ** KEPT (pick-wt=11): 185 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 162.10/162.11  ** KEPT (pick-wt=11): 186 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 162.10/162.11  ** KEPT (pick-wt=12): 187 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Obot__class_Obot(A)),B)=c_Orderings_Obot__class_Obot(A).
% 162.10/162.11  ** KEPT (pick-wt=12): 188 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Obot__class_Obot(A))=c_Orderings_Obot__class_Obot(A).
% 162.10/162.11  ** KEPT (pick-wt=10): 189 [] -class_Orderings_Obot(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Orderings_Obot__class_Obot(A)),B)).
% 162.10/162.11  ** KEPT (pick-wt=15): 190 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 162.10/162.11  ** KEPT (pick-wt=15): 191 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 162.10/162.11  ** KEPT (pick-wt=18): 192 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,C,B).
% 162.10/162.11  ** KEPT (pick-wt=18): 193 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,C,I,B).
% 162.10/162.11  ** KEPT (pick-wt=12): 194 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 162.10/162.11  ** KEPT (pick-wt=8): 195 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 162.10/162.11    Following clause subsumed by 195 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 162.10/162.11    Following clause subsumed by 195 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 162.10/162.11    Following clause subsumed by 195 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 162.10/162.11  ** KEPT (pick-wt=18): 196 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))).
% 162.10/162.11  ** KEPT (pick-wt=12): 197 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 162.10/162.11  ** KEPT (pick-wt=10): 198 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 162.10/162.11    Following clause subsumed by 195 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 162.10/162.11  ** KEPT (pick-wt=19): 199 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 162.10/162.11  ** KEPT (pick-wt=19): 200 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 162.10/162.11  ** KEPT (pick-wt=27): 201 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(c_HOL_Ominus__class_Ominus(C,tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))))=C| -hBOOL(c_in(B,C,A)).
% 162.10/162.11  ** KEPT (pick-wt=26): 202 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 162.10/162.11  ** KEPT (pick-wt=46): 203 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))),D)).
% 162.10/162.11  ** KEPT (pick-wt=26): 204 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OInf__class_OInf(A),hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 162.10/162.11  ** KEPT (pick-wt=28): 205 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),hAPP(hAPP(c_Set_Oinsert(A),B),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D)).
% 162.10/162.11  ** KEPT (pick-wt=15): 206 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 162.10/162.11    Following clause subsumed by 206 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 162.10/162.11  ** KEPT (pick-wt=26): 207 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),D))=hAPP(hAPP(E,C),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,B).
% 162.10/162.11  ** KEPT (pick-wt=26): 208 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),D))=hAPP(hAPP(E,C),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,B).
% 162.10/162.11  ** KEPT (pick-wt=18): 209 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=11): 210 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 162.10/162.11  ** KEPT (pick-wt=11): 211 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(B),C),A),B).
% 162.10/162.11  ** KEPT (pick-wt=23): 212 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 162.10/162.11  ** KEPT (pick-wt=23): 213 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),D),B)),C)).
% 162.10/162.11  ** KEPT (pick-wt=26): 214 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=hAPP(hAPP(c_Set_Oinsert(A),B),D)|hBOOL(c_in(B,D,A))|hBOOL(c_in(B,C,A))|C=D.
% 162.10/162.11  ** KEPT (pick-wt=13): 215 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)=C| -hBOOL(c_in(B,C,A)).
% 162.10/162.11  ** KEPT (pick-wt=38): 216 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,hAPP(c_COMBB(hAPP(c_Set_Oinsert(B),C),tc_fun(B,tc_bool),tc_fun(B,tc_bool),D),E),D,tc_fun(B,tc_bool))=hAPP(hAPP(c_Set_Oinsert(B),C),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,E,D,tc_fun(B,tc_bool)))| -hBOOL(c_in(F,A,D)).
% 162.10/162.11  ** KEPT (pick-wt=38): 217 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,hAPP(c_COMBB(hAPP(c_Set_Oinsert(B),C),tc_fun(B,tc_bool),tc_fun(B,tc_bool),D),E),D,tc_fun(B,tc_bool))=hAPP(hAPP(c_Set_Oinsert(B),C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,E,D,tc_fun(B,tc_bool)))| -hBOOL(c_in(F,A,D)).
% 162.10/162.11  ** KEPT (pick-wt=30): 218 [] c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),A),B)),C),A),A)| -c_Finite__Set_Ofinite(c_Collect(C,A),A)| -c_Finite__Set_Ofinite(c_Collect(B,A),A).
% 162.10/162.11  ** KEPT (pick-wt=25): 219 [] c_Finite__Set_Ofinite(c_Collect(A,B),B)| -c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),B),C)),A),B),B).
% 162.10/162.11  ** KEPT (pick-wt=25): 220 [] c_Finite__Set_Ofinite(c_Collect(A,B),B)| -c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),B),A)),C),B),B).
% 162.10/162.11  ** KEPT (pick-wt=34): 221 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 162.10/162.11    Following clause subsumed by 221 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 162.10/162.11  ** KEPT (pick-wt=5): 222 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 162.10/162.11  ** KEPT (pick-wt=30): 223 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 162.10/162.11  ** KEPT (pick-wt=30): 225 [copy,224,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 162.10/162.11  ** KEPT (pick-wt=28): 226 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D))| -hBOOL(c_in(B,D,A)).
% 162.10/162.11  ** KEPT (pick-wt=20): 227 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 162.10/162.11  ** KEPT (pick-wt=20): 228 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 162.10/162.11  ** KEPT (pick-wt=23): 229 [] c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),C),B)| -c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_Set_Oinsert(B),D),C)),B).
% 162.10/162.11  ** KEPT (pick-wt=23): 230 [] c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_Set_Oinsert(B),C),D)),B)| -c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),D),B).
% 162.10/162.11  ** KEPT (pick-wt=7): 231 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 162.10/162.11  ** KEPT (pick-wt=17): 232 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B)).
% 162.10/162.11  ** KEPT (pick-wt=17): 233 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,C,B)).
% 162.10/162.11  ** KEPT (pick-wt=10): 234 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B.
% 162.10/162.11  ** KEPT (pick-wt=21): 235 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B)),C)).
% 162.10/162.11  ** KEPT (pick-wt=21): 236 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),C)).
% 162.10/162.11  ** KEPT (pick-wt=21): 237 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 162.10/162.11  ** KEPT (pick-wt=21): 238 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.11    Following clause subsumed by 235 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B)),C)).
% 162.10/162.11    Following clause subsumed by 236 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),C)).
% 162.10/162.11  ** KEPT (pick-wt=25): 239 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),C)).
% 162.10/162.11  ** KEPT (pick-wt=25): 240 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B)),C)).
% 162.10/162.11  ** KEPT (pick-wt=18): 241 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 162.10/162.11  ** KEPT (pick-wt=23): 242 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 162.10/162.12  ** KEPT (pick-wt=23): 243 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C)).
% 162.10/162.12  ** KEPT (pick-wt=23): 244 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C)).
% 162.10/162.12  ** KEPT (pick-wt=23): 245 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C)).
% 162.10/162.12  ** KEPT (pick-wt=23): 246 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 162.10/162.12  ** KEPT (pick-wt=19): 247 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B)).
% 162.10/162.12    Following clause subsumed by 247 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B)).
% 162.10/162.12    Following clause subsumed by 247 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B))| -hBOOL(c_in(A,D,C)).
% 162.10/162.12    Following clause subsumed by 247 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B)).
% 162.10/162.12  ** KEPT (pick-wt=27): 248 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 162.10/162.12  ** KEPT (pick-wt=17): 249 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),C),A)).
% 162.10/162.12  ** KEPT (pick-wt=9): 250 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 162.10/162.12  ** KEPT (pick-wt=9): 251 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 162.10/162.12  ** KEPT (pick-wt=15): 252 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),C)).
% 162.10/162.12    Following clause subsumed by 249 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),A))| -hBOOL(hAPP(D,B)).
% 162.10/162.12    Following clause subsumed by 252 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),C))| -c_Finite__Set_Ofinite(C,B).
% 162.10/162.12  ** KEPT (pick-wt=23): 253 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 162.10/162.12  ** KEPT (pick-wt=23): 254 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 162.10/162.12  ** KEPT (pick-wt=21): 255 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(B,D,E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,A,E,tc_fun(F,tc_bool)),C)).
% 162.10/162.12    Following clause subsumed by 255 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(hAPP(hAPP(D,A),E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,D,C,tc_fun(F,tc_bool)),E)).
% 162.10/162.12    Following clause subsumed by 255 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(B,D,E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,A,E,tc_fun(F,tc_bool)),C)).
% 162.10/162.12  ** KEPT (pick-wt=41): 256 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),E)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 162.10/162.12  ** KEPT (pick-wt=18): 257 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.12  ** KEPT (pick-wt=18): 258 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.12  ** KEPT (pick-wt=18): 259 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 162.10/162.12  ** KEPT (pick-wt=6): 260 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 162.10/162.12  ** KEPT (pick-wt=23): 261 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),c_Collect(D,B)),B))| -hBOOL(hAPP(D,A))| -hBOOL(c_in(A,C,B)).
% 162.10/162.12  ** KEPT (pick-wt=29): 262 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,B,E,tc_fun(A,tc_bool))| -hBOOL(c_in(C,D,E)).
% 162.10/162.12    Following clause subsumed by 175 during input processing: 0 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 162.10/162.12  ** KEPT (pick-wt=24): 263 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)).
% 162.10/162.12  ** KEPT (pick-wt=28): 264 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F).
% 162.10/162.12  ** KEPT (pick-wt=19): 265 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Olinorder__class_OMin(B,A)),C))| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 162.10/162.12  ** KEPT (pick-wt=22): 266 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 162.10/162.12    Following clause subsumed by 266 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 162.10/162.12  ** KEPT (pick-wt=19): 267 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(B,D)).
% 162.10/162.12  ** KEPT (pick-wt=33): 268 [] hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(C,tc_fun(B,tc_bool)),D))=D| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),D),A)).
% 162.10/162.12  ** KEPT (pick-wt=27): 269 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(c_HOL_Ominus__class_Ominus(B,A),C)!=hAPP(c_HOL_Ominus__class_Ominus(D,A),E)|hBOOL(hAPP(hAPP(c_lesse_quals(A),E),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 162.10/162.12  ** KEPT (pick-wt=27): 270 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(c_HOL_Ominus__class_Ominus(B,A),C)!=hAPP(c_HOL_Ominus__class_Ominus(D,A),E)|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),E),D)).
% 162.10/162.12  ** KEPT (pick-wt=27): 271 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(c_HOL_Ominus__class_Ominus(B,A),C)!=hAPP(c_HOL_Ominus__class_Ominus(D,A),E)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),E))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 162.10/162.12  ** KEPT (pick-wt=27): 272 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(c_HOL_Ominus__class_Ominus(B,A),C)!=hAPP(c_HOL_Ominus__class_Ominus(D,A),E)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),E)).
% 162.10/162.12  ** KEPT (pick-wt=19): 273 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.12    Following clause subsumed by 273 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|C=B.
% 162.10/162.12  ** KEPT (pick-wt=19): 274 [] -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.12    Following clause subsumed by 274 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.12    Following clause subsumed by 274 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.12    Following clause subsumed by 274 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|B=C.
% 162.10/162.12  ** KEPT (pick-wt=19): 275 [] -class_Orderings_Olinorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 162.10/162.12    Following clause subsumed by 275 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 162.10/162.12  ** KEPT (pick-wt=19): 276 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Finite__Set_Olinorder__class_OMax(C,A)))| -hBOOL(c_in(B,C,A))| -c_Finite__Set_Ofinite(C,A).
% 162.10/162.12  ** KEPT (pick-wt=17): 277 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(c_Complete__Lattice_OSup__class_OSup(A),C)))| -hBOOL(c_in(B,C,A)).
% 162.10/162.12    Following clause subsumed by 222 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 162.10/162.12  ** KEPT (pick-wt=16): 278 [] -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.12  ** KEPT (pick-wt=16): 279 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.12  ** KEPT (pick-wt=16): 280 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 162.10/162.12  ** KEPT (pick-wt=16): 281 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.12    Following clause subsumed by 281 during input processing: 0 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 162.10/162.12  ** KEPT (pick-wt=54): 283 [copy,282,flip.2] hAPP(A,hAPP(B,c_List_Osko__List__Xfoldl__apply__inv__1__1(A,B,C,D)))!=c_List_Osko__List__Xfoldl__apply__inv__1__1(A,B,C,D)|hAPP(A,c_List_Ofoldl(hAPP(c_COMBB(c_COMBB(B,D,C,E),tc_fun(E,D),tc_fun(E,C),C),hAPP(c_COMBB(F,D,tc_fun(E,D),C),A)),G,H,C,E))=c_List_Ofoldl(F,hAPP(A,G),H,D,E).
% 162.10/162.12  ** KEPT (pick-wt=49): 284 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OWhile(D,E),c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B),B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,D,B),E,C,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 162.10/162.12  ** KEPT (pick-wt=28): 285 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSKIP,C,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(C,v_sko__Hoare__Mirabelle__Xhoare__SkipI__1(B,C)),v_sko__Hoare__Mirabelle__Xhoare__SkipI__2(B,C))).
% 162.10/162.12  ** KEPT (pick-wt=51): 286 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OBODY(D),E,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OBODY(D),E,B)),A),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Option_Othe(c_Com_Obody(D),tc_Com_Ocom),E,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 162.10/162.12  ** KEPT (pick-wt=40): 287 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OBODY(D),E,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Option_Othe(c_Com_Obody(D),tc_Com_Ocom),E,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 162.10/162.12  ** KEPT (pick-wt=68): 288 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OCond(D,E,F),G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B),F,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,D,B),E,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 162.10/162.12  ** KEPT (pick-wt=25): 289 [] c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),A),B)),C),A),A)| -c_Finite__Set_Ofinite(c_Collect(C,A),A).
% 162.10/162.12  ** KEPT (pick-wt=25): 290 [] c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),A),B)),C),A),A)| -c_Finite__Set_Ofinite(c_Collect(B,A),A).
% 162.10/162.12  ** KEPT (pick-wt=11): 291 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 162.10/162.12  ** KEPT (pick-wt=12): 292 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(A).
% 162.10/162.12  ** KEPT (pick-wt=34): 293 [] A=hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))|A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))).
% 162.10/162.12  ** KEPT (pick-wt=23): 294 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,B).
% 162.10/162.12  ** KEPT (pick-wt=23): 295 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,B).
% 162.10/162.12  ** KEPT (pick-wt=16): 296 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))=B.
% 162.10/162.12  ** KEPT (pick-wt=15): 297 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 162.10/162.12  ** KEPT (pick-wt=32): 298 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))))=hAPP(hAPP(E,C),D)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,B).
% 162.10/162.12  ** KEPT (pick-wt=32): 299 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))))=hAPP(hAPP(E,C),D)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,B).
% 162.10/162.12  ** KEPT (pick-wt=18): 300 [] A=B| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(C,hAPP(hAPP(c_Set_Oinsert(D),A),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),D),B)).
% 162.10/162.12  ** KEPT (pick-wt=25): 301 [] A=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),B)| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),A)).
% 162.10/162.12  ** KEPT (pick-wt=16): 302 [] A=B| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),C)).
% 162.10/162.12  ** KEPT (pick-wt=15): 303 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 162.10/162.12  ** KEPT (pick-wt=16): 305 [copy,304,flip.2] -class_Orderings_Oorder(A)|hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A).
% 162.10/162.12  ** KEPT (pick-wt=16): 306 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(c_in(B,C,A)).
% 162.10/162.12  ** KEPT (pick-wt=16): 307 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OInf__class_OInf(A),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))=B.
% 162.10/162.12  ** KEPT (pick-wt=58): 308 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.12  ** KEPT (pick-wt=56): 309 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,G,D,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,G,D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.12  ** KEPT (pick-wt=58): 310 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.12  ** KEPT (pick-wt=52): 311 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.12  ** KEPT (pick-wt=46): 312 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.12  ** KEPT (pick-wt=50): 313 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.13  ** KEPT (pick-wt=46): 314 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.13  ** KEPT (pick-wt=52): 315 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.13  ** KEPT (pick-wt=46): 316 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.13  ** KEPT (pick-wt=50): 317 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.13  ** KEPT (pick-wt=46): 318 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 162.10/162.13  ** KEPT (pick-wt=150): 319 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(hAPP(c_COMBS(B,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBB(c_COMBS(tc_Com_Ostate,tc_bool,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),B),hAPP(c_COMBB(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),B),C))),D),E,hAPP(hAPP(c_COMBS(B,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBB(c_COMBS(tc_Com_Ostate,tc_bool,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),B),hAPP(c_COMBB(c_COMBB(c_or,tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),B),F))),G),B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(D,E,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,E,F,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 162.13/162.13  ** KEPT (pick-wt=39): 320 [] c_Collect(hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),A),hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B))),C),A)=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))| -hBOOL(hAPP(C,B)).
% 162.13/162.13  ** KEPT (pick-wt=56): 321 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OSemi(D,E),F,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(G,E,F,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,D,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 162.13/162.13  ** KEPT (pick-wt=35): 322 [] c_Collect(hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(c_COMBB(c_and,tc_bool,tc_fun(tc_bool,tc_bool),A),hAPP(c_fe_qual(A),B))),C),A)=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))| -hBOOL(hAPP(C,B)).
% 162.13/162.13  ** KEPT (pick-wt=28): 323 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),D),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 162.13/162.13  ** KEPT (pick-wt=14): 324 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(C)),D),B),C).
% 162.13/162.13  ** KEPT (pick-wt=12): 325 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 162.13/162.13  ** KEPT (pick-wt=11): 327 [copy,326,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 162.13/162.13  ** KEPT (pick-wt=14): 328 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 162.13/162.13  ** KEPT (pick-wt=14): 329 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 162.13/162.13  ** KEPT (pick-wt=14): 330 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 162.13/162.13  ** KEPT (pick-wt=35): 331 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|C=D|C=E.
% 162.13/162.13  ** KEPT (pick-wt=35): 332 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|B=E|C=E.
% 162.13/162.13  ** KEPT (pick-wt=35): 333 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|C=D|B=D.
% 162.13/162.13  ** KEPT (pick-wt=35): 334 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|B=E|B=D.
% 162.13/162.14  ** KEPT (pick-wt=7): 335 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 162.13/162.14  ** KEPT (pick-wt=16): 336 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(D),C),A),B)).
% 162.13/162.14    Following clause subsumed by 327 during input processing: 0 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 162.13/162.14  ** KEPT (pick-wt=22): 337 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))!=hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))|B=C.
% 162.13/162.14  ** KEPT (pick-wt=24): 338 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),D),B).
% 162.13/162.14  ** KEPT (pick-wt=13): 339 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(A),B),C),D))| -hBOOL(hAPP(C,D)).
% 162.13/162.14  ** KEPT (pick-wt=18): 340 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a).
% 162.13/162.14  ** KEPT (pick-wt=6): 341 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 342 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 343 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 344 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 345 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 162.13/162.14  ** KEPT (pick-wt=8): 346 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 162.13/162.14  ** KEPT (pick-wt=6): 347 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 348 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 349 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 350 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 351 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 352 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 162.13/162.14  ** KEPT (pick-wt=6): 353 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 162.13/162.14  ** KEPT (pick-wt=10): 354 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 162.13/162.14    Following clause subsumed by 260 during input processing: 0 [copy,15,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 162.13/162.14    Following clause subsumed by 231 during input processing: 0 [copy,20,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 162.13/162.14    Following clause subsumed by 96 during input processing: 0 [copy,22,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 162.13/162.14    Following clause subsumed by 172 during input processing: 0 [copy,26,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 162.13/162.14    Following clause subsumed by 47 during input processing: 0 [copy,34,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 162.13/162.14    Following clause subsumed by 34 during input processing: 0 [copy,47,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 162.13/162.14  50 back subsumes 49.
% 162.13/162.14    Following clause subsumed by 22 during input processing: 0 [copy,96,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 162.13/162.14    Following clause subsumed by 114 during input processing: 0 [copy,113,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 162.13/162.14    Following clause subsumed by 113 during input processing: 0 [copy,114,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 162.13/162.14    Following clause subsumed by 26 during input processing: 0 [copy,172,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 162.13/162.14  212 back subsumes 203.
% 162.13/162.14  212 back subsumes 84.
% 162.13/162.14    Following clause subsumed by 20 during input processing: 0 [copy,231,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 162.13/162.14    Following clause subsumed by 15 during input processing: 0 [copy,260,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 162.13/162.14  327 back subsumes 306.
% 162.13/162.14  
% 162.13/162.14  ------------> process sos:
% 162.13/162.14  ** KEPT (pick-wt=3): 387 [] A=A.
% 162.13/162.14  ** KEPT (pick-wt=5): 388 [] c_Collect(A,B)=A.
% 162.13/162.14  ---> New Demodulator: 389 [new_demod,388] c_Collect(A,B)=A.
% 162.13/162.14  ** KEPT (pick-wt=11): 391 [copy,390,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 162.13/162.14  ---> New Demodulator: 392 [new_demod,391] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 162.13/162.14  ** KEPT (pick-wt=38): 393 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 162.13/162.14  ** KEPT (pick-wt=38): 395 [copy,394,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 162.13/162.14  ---> New Demodulator: 396 [new_demod,395] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 162.13/162.14  ** KEPT (pick-wt=20): 397 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,tc_fun(C,tc_bool))=B|A=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 162.13/162.14  ** KEPT (pick-wt=10): 398 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 162.13/162.14  ---> New Demodulator: 399 [new_demod,398] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 162.13/162.14  ** KEPT (pick-wt=18): 400 [] hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(B,tc_bool)))=A.
% 162.13/162.14  ---> New Demodulator: 401 [new_demod,400] hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(B,tc_bool)))=A.
% 162.13/162.14  ** KEPT (pick-wt=15): 402 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 162.13/162.14  ** KEPT (pick-wt=5): 403 [] c_COMBI(A,B)=A.
% 162.13/162.14  ---> New Demodulator: 404 [new_demod,403] c_COMBI(A,B)=A.
% 162.13/162.14  ** KEPT (pick-wt=8): 405 [] hAPP(c_COMBK(A,B,C),D)=A.
% 162.13/162.14  ---> New Demodulator: 406 [new_demod,405] hAPP(c_COMBK(A,B,C),D)=A.
% 162.13/162.14  ** KEPT (pick-wt=21): 407 [] hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),C),tc_fun(B,tc_bool)),C)=hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),C).
% 162.13/162.14  ---> New Demodulator: 408 [new_demod,407] hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),C),tc_fun(B,tc_bool)),C)=hAPP(c_HOL_Ominus__class_Ominus(A,tc_fun(B,tc_bool)),C).
% 162.13/162.14  ** KEPT (pick-wt=31): 409 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 162.13/162.14  ** KEPT (pick-wt=31): 410 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 162.13/162.14  ---> New Demodulator: 
% 162.13/162.14  Search stopped in tp_alloc by max_mem option.
% 162.13/162.14  411 [new_demod,410] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 162.13/162.14  ** KEPT (pick-wt=37): 412 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,hAPP(c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),tc_fun(B,tc_bool),tc_fun(B,tc_bool),D),E),D,tc_fun(B,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,E,D,tc_fun(B,tc_bool))).
% 162.13/162.14  ** KEPT (pick-wt=16): 413 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B))).
% 162.13/162.14  ** KEPT (pick-wt=16): 414 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))).
% 162.13/162.14  ** KEPT (pick-wt=17): 415 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 162.13/162.14  ** KEPT (pick-wt=15): 416 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(B,tc_fun(A,tc_bool)),C)),B)).
% 162.13/162.14  ** KEPT (pick-wt=73): 418 [copy,417,demod,411,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 162.13/162.14  ---> New Demodulator: 419 [new_demod,418] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 162.13/162.14  
% 162.13/162.14  Search stopped in tp_alloc by max_mem option.
% 162.13/162.14  
% 162.13/162.14  ============ end of search ============
% 162.13/162.14  
% 162.13/162.14  -------------- statistics -------------
% 162.13/162.14  clauses given                  0
% 162.13/162.14  clauses generated             41
% 162.13/162.14  clauses kept                 398
% 162.13/162.14  clauses forward subsumed      70
% 162.13/162.14  clauses back subsumed          4
% 162.13/162.14  Kbytes malloced            11718
% 162.13/162.14  
% 162.13/162.14  ----------- times (seconds) -----------
% 162.13/162.14  user CPU time          0.09          (0 hr, 0 min, 0 sec)
% 162.13/162.14  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 162.13/162.14  wall-clock time      162             (0 hr, 2 min, 42 sec)
% 162.13/162.14  
% 162.13/162.14  Process 17021 finished Wed Jul 27 06:10:08 2022
% 162.13/162.14  Otter interrupted
% 162.13/162.14  PROOF NOT FOUND
%------------------------------------------------------------------------------