%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV825-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n019.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 13:21:38 EDT 2022

% Result   : Unknown 199.37s 199.44s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV825-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Jul 27 05:40:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 198.08/198.13  ----- Otter 3.3f, August 2004 -----
% 198.08/198.13  The process was started by sandbox on n019.cluster.edu,
% 198.08/198.13  Wed Jul 27 05:40:07 2022
% 198.08/198.13  The command was "./otter".  The process ID is 1562.
% 198.08/198.13  
% 198.08/198.13  set(prolog_style_variables).
% 198.08/198.13  set(auto).
% 198.08/198.13     dependent: set(auto1).
% 198.08/198.13     dependent: set(process_input).
% 198.08/198.13     dependent: clear(print_kept).
% 198.08/198.13     dependent: clear(print_new_demod).
% 198.08/198.13     dependent: clear(print_back_demod).
% 198.08/198.13     dependent: clear(print_back_sub).
% 198.08/198.13     dependent: set(control_memory).
% 198.08/198.13     dependent: assign(max_mem, 12000).
% 198.08/198.13     dependent: assign(pick_given_ratio, 4).
% 198.08/198.13     dependent: assign(stats_level, 1).
% 198.08/198.13     dependent: assign(max_seconds, 10800).
% 198.08/198.13  clear(print_given).
% 198.08/198.13  
% 198.08/198.13  list(usable).
% 198.08/198.13  0 [] A=A.
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(c_COMBI(T_a),T_a,T_a),V_Y)=V_Y.
% 198.08/198.13  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_xa,T_a)| -hBOOL(c_in(V_xa,V_A,T_a))| -c_lesse_quals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 198.08/198.13  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(hAPP(c_Set_Oinsert(T_b),V_a),V_B,tc_fun(T_b,tc_bool),tc_fun(T_b,tc_bool),T_a),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)).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 198.08/198.13  0 [] c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 198.08/198.13  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_a,V_A,T_a)).
% 198.08/198.13  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)| -hBOOL(c_in(V_i,V_A,T_a)).
% 198.08/198.13  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).
% 198.08/198.13  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_a,T_b),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_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_C,T_a,T_b).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 198.08/198.13  0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(c_COMBK(V_c,T_b,T_a),T_a,T_b),V_A)=hAPP(hAPP(c_Set_Oinsert(T_b),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))| -hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  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))|c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=V_A.
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_Fun_Oinj__on(V_g,hAPP(c_Set_Oimage(V_f,T_a,T_c),V_A),T_c,T_b)| -c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 198.08/198.13  0 [] c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b)|hBOOL(c_in(hAPP(V_f,V_a),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,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))),T_b))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 198.08/198.13  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,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)).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 198.08/198.13  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 198.08/198.13  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 198.08/198.13  0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 198.08/198.13  0 [] c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a)=hAPP(hAPP(V_P,V_R),V_Q).
% 198.08/198.13  0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 198.08/198.13  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 198.08/198.13  0 [] c_COMBS(V_P,V_Q,V_R,T_b,T_c,T_a)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))))!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))))=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 198.08/198.13  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 198.08/198.13  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)| -hBOOL(hAPP(hAPP(V_less,V_x),V_x)).
% 198.08/198.13  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B),tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool))),tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 198.08/198.13  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 198.08/198.13  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(c_in(V_xa,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 198.08/198.13  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_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))).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 198.08/198.13  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_Orderings_Olinorder(T_a)|c_SetInterval_Oord__class_OlessThan(V_x,T_a)!=c_SetInterval_Oord__class_OlessThan(V_y,T_a)|V_x=V_y.
% 198.08/198.13  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 198.08/198.13  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(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)),T_a).
% 198.08/198.13  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(c_COMBK(V_c,T_a,T_b),T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 198.08/198.13  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f,V_x)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A))=hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)| -hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A),hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_B),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,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_A).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 198.08/198.13  0 [] -class_HOL_Ominus(T_b)|hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b).
% 198.08/198.13  0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Finite__Set_Ofold1(V_times,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)=hAPP(hAPP(V_times,V_x),c_Finite__Set_Ofold1(V_times,V_A,T_a))|hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A)),V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Collect(V_P,T_a)=V_P.
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a).
% 198.08/198.13  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 198.08/198.13  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 198.08/198.13  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 198.08/198.13  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)).
% 198.08/198.13  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 198.08/198.13  0 [] c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a).
% 198.08/198.13  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).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 198.08/198.13  0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)!=hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)|V_A=V_B.
% 198.08/198.13  0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_I,T_b))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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.
% 198.08/198.13  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 198.08/198.13  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)).
% 198.08/198.13  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.
% 198.08/198.13  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.
% 198.08/198.13  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.
% 198.08/198.13  0 [] c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)),tc_fun(T_a,tc_bool)).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 198.08/198.13  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))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  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).
% 198.08/198.13  0 [] hAPP(hAPP(V_times,hAPP(hAPP(V_times,V_a),V_b)),V_c)=hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 198.08/198.13  0 [] hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c))=hAPP(hAPP(V_times,V_b),hAPP(hAPP(V_times,V_a),V_c))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 198.08/198.13  0 [] hAPP(hAPP(V_times,V_a),V_b)=hAPP(hAPP(V_times,V_b),V_a)| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A)=V_A| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A),V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(c_Set_Ovimage(c_COMBI(T_a),T_a,T_a),V_Y)=V_Y.
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(V_f,T_b,T_c),V_A),V_B,T_c,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  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.
% 198.08/198.13  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.
% 198.08/198.13  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))=c_HOL_Ominus__class_Ominus(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)),V_C),V_B),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(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)),T_a).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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.
% 198.08/198.13  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 198.08/198.13  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.
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,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.
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(V_h,T_a,T_b),V_F),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 198.08/198.13  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_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)).
% 198.08/198.13  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).
% 198.08/198.13  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] hBOOL(hAPP(hAPP(V_less,V_y),V_x))|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_y))|hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x)).
% 198.08/198.13  0 [] -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)| -hBOOL(hAPP(hAPP(V_less,V_x),V_x)).
% 198.08/198.13  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))).
% 198.08/198.13  0 [] hAPP(c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),T_a,T_b),V_A)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_c,V_A,T_b)).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 198.08/198.13  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 198.08/198.13  0 [] hAPP(c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),T_a,T_b),V_x)=hAPP(c_Set_Ovimage(V_f,T_a,T_c),hAPP(c_Set_Ovimage(V_g,T_c,T_b),V_x)).
% 198.08/198.13  0 [] hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),T_a))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)).
% 198.08/198.13  0 [] hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_B),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))| -hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))| -hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),T_a)).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 198.08/198.13  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 198.08/198.13  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,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,T_a,T_c)| -c_Fun_Oinj__on(V_g,hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),T_b,T_c)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 198.08/198.13  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 198.08/198.13  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))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a)| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a)|c_Finite__Set_Ofold1(V_times,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)=hAPP(hAPP(V_times,c_Finite__Set_Ofold1(V_times,V_A,T_a)),c_Finite__Set_Ofold1(V_times,V_B,T_a)).
% 198.08/198.13  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)).
% 198.08/198.13  0 [] -hBOOL(c_in(hAPP(V_f,V_a),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,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))),T_b))| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b).
% 198.08/198.13  0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))|hBOOL(c_in(V_x,V_B,T_a)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(V_A,hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 198.08/198.13  0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 198.08/198.13  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 198.08/198.13  0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_aa,T_a),V_A),T_a)).
% 198.08/198.13  0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 198.08/198.13  0 [] hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 198.08/198.13  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.
% 198.08/198.13  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.
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 198.08/198.13  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 198.08/198.13  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 198.08/198.13  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 198.08/198.13  0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 198.08/198.13  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.
% 198.08/198.13  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.
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))).
% 198.08/198.13  0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))))),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,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_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 198.08/198.13  0 [] hAPP(V_f,V_a)=V_b| -hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))),T_a)).
% 198.08/198.13  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,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)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(c_COMBK(V_c,T_a,T_b),T_b,T_a),V_A)=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 198.08/198.13  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_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)).
% 198.08/198.13  0 [] c_lesse_quals(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),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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).
% 198.08/198.13  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(c_Set_Oimage(V_g,T_c,T_b),V_A))=hAPP(c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),T_c,T_a),V_A).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_c,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(c_Set_Oimage(V_f,T_b,T_a),V_B,tc_fun(T_b,tc_bool),tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z))=hAPP(hAPP(V_f,V_x),V_z)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 198.08/198.13  0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_c,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(c_Set_Ovimage(V_f,T_a,T_b),V_B,tc_fun(T_b,tc_bool),tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),T_b,T_a),V_r)=hAPP(c_Set_Oimage(V_f,T_c,T_a),hAPP(c_Set_Oimage(V_g,T_b,T_c),V_r)).
% 198.08/198.13  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_Finite__Set_Ofun__left__comm__idem(c_COMBB(V_f,V_g,T_a,tc_fun(T_b,T_b),T_c),T_c,T_b)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 198.08/198.13  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x.
% 198.08/198.13  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 198.08/198.13  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 198.08/198.13  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 198.08/198.13  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b).
% 198.08/198.13  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 198.08/198.13  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 198.08/198.13  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(V_f,T_c,T_b),V_A),V_B,T_b,tc_fun(T_a,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_b,tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(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),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_a,V_b,T_a).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_C,T_a,T_b).
% 198.08/198.13  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).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))).
% 198.08/198.13  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))).
% 198.08/198.13  0 [] hBOOL(hAPP(V_A,hAPP(V_f,V_x)))| -hBOOL(hAPP(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),V_x)).
% 198.08/198.13  0 [] hBOOL(hAPP(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),V_x))| -hBOOL(hAPP(V_A,hAPP(V_f,V_x))).
% 198.08/198.13  0 [] c_The(c_fe_qual(V_x,T_a),T_a)=V_x.
% 198.08/198.13  0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_y),V_x))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] hBOOL(hAPP(hAPP(V_less,V_y),V_x))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))|V_x=V_y| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] hBOOL(hAPP(hAPP(V_less,V_y),V_x))|V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))|hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 198.08/198.13  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_Fun_Ocomp(hAPP(V_f,V_x),hAPP(V_f,V_x),T_b,T_b,T_b)=hAPP(V_f,V_x)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 198.08/198.13  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_l,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Finite__Set_Ofinite(V_A,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_b,T_a)| -c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a).
% 198.08/198.13  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,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 198.08/198.13  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)).
% 198.08/198.13  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 198.08/198.13  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 198.08/198.13  0 [] hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_aa,T_a),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_aa)).
% 198.08/198.13  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,c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 198.08/198.13  0 [] hAPP(hAPP(c_Set_Oinsert(T_b),V_x),V_xa)!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))|hBOOL(c_in(V_x,V_xa,T_b))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 198.08/198.13  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(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)))),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b).
% 198.08/198.13  0 [] -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)|c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))),T_b)=V_a.
% 198.08/198.13  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 198.08/198.13  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 198.08/198.13  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(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)))),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b).
% 198.08/198.13  0 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  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)).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b).
% 198.08/198.13  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)).
% 198.08/198.13  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)).
% 198.08/198.13  0 [] c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool)).
% 198.08/198.13  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.
% 198.08/198.13  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 198.08/198.13  0 [] hAPP(c_COMBI(t_a),v_P)=v_P.
% 198.08/198.13  0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_xa,V_xb,V_xc,t_b),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))).
% 198.08/198.13  0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,t_b),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))).
% 198.08/198.13  0 [] c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2).
% 198.08/198.13  0 [] c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2).
% 198.08/198.13  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a).
% 198.08/198.13  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)).
% 198.08/198.13  0 [] hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R)=hAPP(v_P,hAPP(v_Q,v_R)).
% 198.08/198.13  0 [] c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c)=hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)).
% 198.08/198.13  0 [] c_COMBC(v_P,v_Q,v_R,t_a,t_b,t_c)=hAPP(hAPP(v_P,v_R),v_Q).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 198.08/198.13  0 [] c_Collect(c_fe_qual(V_a,T_a),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 198.08/198.13  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))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)).
% 198.08/198.13  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)).
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 198.08/198.13  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))).
% 198.08/198.13  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))).
% 198.08/198.13  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)).
% 198.08/198.13  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.
% 198.08/198.13  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.
% 198.08/198.13  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).
% 198.08/198.13  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).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,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,tc_fun(T_a,tc_bool)).
% 198.08/198.13  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),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)).
% 198.08/198.13  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)).
% 198.08/198.13  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.
% 198.08/198.13  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)).
% 198.08/198.13  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)).
% 198.08/198.13  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.
% 198.08/198.13  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.
% 198.08/198.13  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,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)))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 198.08/198.14  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))).
% 198.08/198.14  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)).
% 198.08/198.14  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).
% 198.08/198.14  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 198.08/198.14  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).
% 198.08/198.14  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).
% 198.08/198.14  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))).
% 198.08/198.14  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).
% 198.08/198.14  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))).
% 198.08/198.14  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).
% 198.08/198.14  0 [] hAPP(c_COMBK(v_P,t_a,t_b),v_Q)=v_P.
% 198.08/198.14  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).
% 198.08/198.14  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).
% 198.08/198.14  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).
% 198.08/198.14  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)).
% 198.08/198.14  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).
% 198.08/198.14  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 198.08/198.14  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.
% 198.08/198.14  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.
% 198.08/198.14  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.
% 198.08/198.14  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.
% 198.08/198.14  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.
% 198.08/198.14  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.
% 198.08/198.14  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.
% 198.08/198.14  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 198.08/198.14  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).
% 198.08/198.14  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)).
% 198.08/198.14  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).
% 198.08/198.14  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 198.08/198.14  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)).
% 198.08/198.14  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)))).
% 198.08/198.14  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.
% 198.08/198.14  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 198.08/198.14  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_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).
% 198.08/198.14  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).
% 198.08/198.14  0 [] hBOOL(hAPP(hAPP(v_Q,V_s),V_s_H))|hBOOL(hAPP(hAPP(v_P_H,v_Z(V_s,V_sa,V_s_H)),V_sa))| -hBOOL(hAPP(hAPP(v_P,V_s),V_sa)).
% 198.08/198.14  0 [] hBOOL(hAPP(hAPP(v_Q,V_s),V_s_H))| -hBOOL(hAPP(hAPP(v_Q_H,v_Z(V_s,V_sa,V_s_H)),V_s_H))| -hBOOL(hAPP(hAPP(v_P,V_s),V_sa)).
% 198.08/198.14  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 198.08/198.14  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 198.08/198.14  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 198.08/198.14  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 198.08/198.14  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 198.08/198.14  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).
% 198.08/198.14  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 198.08/198.14  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 198.08/198.14  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 198.08/198.14  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 198.08/198.14  0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 198.08/198.14  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 198.08/198.14  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 198.08/198.14  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 198.08/198.14  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 198.08/198.14  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 198.08/198.14  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 198.08/198.14  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 198.08/198.14  0 [] class_Orderings_Opreorder(tc_bool).
% 198.08/198.14  0 [] class_Lattices_Olattice(tc_bool).
% 198.08/198.14  0 [] class_Orderings_Oorder(tc_bool).
% 198.08/198.14  0 [] class_Orderings_Obot(tc_bool).
% 198.08/198.14  0 [] class_HOL_Ominus(tc_bool).
% 198.08/198.14  0 [] class_HOL_Oord(tc_bool).
% 198.08/198.14  0 [] hBOOL(hAPP(c_fe_qual(V_x,T_a),V_x)).
% 198.08/198.14  0 [] V_X=V_Y| -hBOOL(hAPP(c_fe_qual(V_X,T_a),V_Y)).
% 198.08/198.14  end_of_list.
% 198.08/198.14  
% 198.08/198.14  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 198.08/198.14  
% 198.08/198.14  This ia a non-Horn set with equality.  The strategy will be
% 198.08/198.14  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 198.08/198.14  deletion, with positive clauses in sos and nonpositive
% 198.08/198.14  clauses in usable.
% 198.08/198.14  
% 198.08/198.14     dependent: set(knuth_bendix).
% 198.08/198.14     dependent: set(anl_eq).
% 198.08/198.14     dependent: set(para_from).
% 198.08/198.14     dependent: set(para_into).
% 198.08/198.14     dependent: clear(para_from_right).
% 198.08/198.14     dependent: clear(para_into_right).
% 198.08/198.14     dependent: set(para_from_vars).
% 198.08/198.14     dependent: set(eq_units_both_ways).
% 198.08/198.14     dependent: set(dynamic_demod_all).
% 198.08/198.14     dependent: set(dynamic_demod).
% 198.08/198.14     dependent: set(order_eq).
% 198.08/198.14     dependent: set(back_demod).
% 198.08/198.14     dependent: set(lrpo).
% 198.08/198.14     dependent: set(hyper_res).
% 198.08/198.14     dependent: set(unit_deletion).
% 198.08/198.14     dependent: set(factor).
% 198.08/198.14  
% 198.08/198.14  ------------> process usable:
% 198.08/198.14  ** KEPT (pick-wt=5): 1 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 198.08/198.14  ** KEPT (pick-wt=28): 2 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(C,D,A))| -c_lesse_quals(B,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),D,A),A)|D=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(D,A).
% 198.08/198.14  ** KEPT (pick-wt=37): 4 [copy,3,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Set_Oinsert(A),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))| -hBOOL(c_in(F,C,E)).
% 198.08/198.14  ** KEPT (pick-wt=11): 5 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 198.08/198.14  ** KEPT (pick-wt=15): 6 [] c_Fun_Oinj__on(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)| -c_Fun_Oinj__on(A,B,D,E).
% 198.08/198.14  ** KEPT (pick-wt=19): 7 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Complete__Lattice_OInf__class_OInf(C,A)).
% 198.08/198.14  ** KEPT (pick-wt=23): 8 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))| -hBOOL(c_in(B,D,A)).
% 198.08/198.14  ** KEPT (pick-wt=19): 9 [] c_lesse_quals(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 198.08/198.14  ** KEPT (pick-wt=17): 10 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(hAPP(B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A),A)| -hBOOL(c_in(C,D,E)).
% 198.08/198.14  ** KEPT (pick-wt=35): 11 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 198.08/198.14    Following clause subsumed by 11 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=35): 12 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=49): 13 [] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E))| -c_lesse_quals(E,F,tc_fun(B,tc_bool))| -c_lesse_quals(D,F,tc_fun(B,tc_bool))| -c_Fun_Oinj__on(A,F,B,C).
% 198.08/198.14  ** KEPT (pick-wt=17): 14 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,hAPP(c_Set_Oimage(C,D,B),E),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(E,D).
% 198.08/198.14  ** KEPT (pick-wt=23): 15 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(hAPP(c_Set_Oimage(A,F,D),E),C,tc_fun(D,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=24): 16 [] hAPP(c_Set_Oimage(c_COMBK(A,B,C),C,B),D)=hAPP(hAPP(c_Set_Oinsert(B),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))| -hBOOL(c_in(E,D,C)).
% 198.08/198.14  ** KEPT (pick-wt=21): 17 [] 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))|c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))=B.
% 198.08/198.14  ** KEPT (pick-wt=23): 18 [] -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)).
% 198.08/198.14  ** KEPT (pick-wt=20): 19 [] c_Fun_Oinj__on(A,hAPP(c_Set_Oimage(B,C,D),E),D,F)| -c_Fun_Oinj__on(c_Fun_Ocomp(A,B,D,F,C),E,C,F).
% 198.08/198.14  ** KEPT (pick-wt=30): 21 [copy,20,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)).
% 198.08/198.14  ** KEPT (pick-wt=30): 22 [] -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)).
% 198.08/198.14  ** KEPT (pick-wt=18): 23 [] 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)).
% 198.08/198.14  ** KEPT (pick-wt=10): 24 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 198.08/198.14  ** KEPT (pick-wt=40): 25 [] c_Fun_Oinj__on(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B,E)|hBOOL(c_in(hAPP(A,C),hAPP(c_Set_Oimage(A,B,E),c_HOL_Ominus__class_Ominus(D,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool))),E))| -c_Fun_Oinj__on(A,D,B,E).
% 198.08/198.14  ** KEPT (pick-wt=9): 26 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 198.08/198.14  ** KEPT (pick-wt=9): 27 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 198.08/198.14  ** KEPT (pick-wt=55): 28 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(c_Set_Oimage(B,C,A),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)))),hAPP(c_Set_Oimage(B,C,A),c_HOL_Ominus__class_Ominus(E,D,tc_fun(C,tc_bool))))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Fun_Oinj__on(B,E,C,A)| -c_Fun_Oinj__on(B,D,C,A)|c_Fun_Oinj__on(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E),C,A).
% 198.08/198.14  ** KEPT (pick-wt=45): 29 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(c_Set_Oimage(B,C,A),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)))),hAPP(c_Set_Oimage(B,C,A),c_HOL_Ominus__class_Ominus(E,D,tc_fun(C,tc_bool))))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Fun_Oinj__on(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E),C,A).
% 198.08/198.14  ** KEPT (pick-wt=14): 30 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 198.08/198.14  ** KEPT (pick-wt=14): 31 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 198.08/198.14  ** KEPT (pick-wt=25): 32 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(B,A),c_Finite__Set_Olinorder__class_OMax(C,A),A)| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=10): 33 [] -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D).
% 198.08/198.14    Following clause subsumed by 33 during input processing: 0 [] -c_Orderings_Olinorder(A,B,C)| -hBOOL(hAPP(hAPP(B,D),D)).
% 198.08/198.14  ** KEPT (pick-wt=16): 34 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 198.08/198.14  ** KEPT (pick-wt=16): 35 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=25): 36 [] -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)).
% 198.08/198.14  ** KEPT (pick-wt=25): 37 [] -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)).
% 198.08/198.14  ** KEPT (pick-wt=25): 38 [] -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)).
% 198.08/198.14  ** KEPT (pick-wt=25): 39 [] -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)).
% 198.08/198.14  ** KEPT (pick-wt=17): 40 [] 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)).
% 198.08/198.14  ** KEPT (pick-wt=17): 41 [] 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)).
% 198.08/198.14  ** KEPT (pick-wt=25): 42 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))|B=C| -c_Fun_Oinj__on(A,D,E,F).
% 198.08/198.14    Following clause subsumed by 42 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 198.08/198.14    Following clause subsumed by 42 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 198.08/198.14    Following clause subsumed by 42 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E)).
% 198.08/198.14  ** KEPT (pick-wt=16): 43 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=16): 44 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=14): 45 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -c_lesse_quals(B,C,A).
% 198.08/198.14  ** KEPT (pick-wt=14): 46 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|c_lesse_quals(B,C,A).
% 198.08/198.14  ** KEPT (pick-wt=14): 47 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -c_lesse_quals(C,B,A).
% 198.08/198.14  ** KEPT (pick-wt=25): 48 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 198.08/198.14    Following clause subsumed by 48 during input processing: 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=19): 49 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 198.08/198.14  ** KEPT (pick-wt=11): 50 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 198.08/198.14  ** KEPT (pick-wt=11): 51 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 198.08/198.14    Following clause subsumed by 49 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 198.08/198.14    Following clause subsumed by 49 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 198.08/198.14  ** KEPT (pick-wt=11): 52 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 198.08/198.14  ** KEPT (pick-wt=11): 53 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 198.08/198.14  ** KEPT (pick-wt=15): 54 [] -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).
% 198.08/198.14  ** KEPT (pick-wt=15): 55 [] -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).
% 198.08/198.14  ** KEPT (pick-wt=21): 56 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=12): 57 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OlessThan(B,A)!=c_SetInterval_Oord__class_OlessThan(C,A)|B=C.
% 198.08/198.14  ** KEPT (pick-wt=6): 59 [copy,58,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 198.08/198.14  ** KEPT (pick-wt=31): 60 [] -class_Lattices_Olattice(A)|c_lesse_quals(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)),A).
% 198.08/198.14  ** KEPT (pick-wt=11): 61 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 198.08/198.14  ** KEPT (pick-wt=11): 62 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 198.08/198.14  ** KEPT (pick-wt=20): 63 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 198.08/198.14    Following clause subsumed by 63 during input processing: 0 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 198.08/198.14  ** KEPT (pick-wt=16): 64 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(C),A),D),B,tc_fun(C,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=18): 65 [] -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)).
% 198.08/198.14  ** KEPT (pick-wt=25): 66 [] hAPP(hAPP(c_Set_Oinsert(A),hAPP(B,C)),hAPP(c_Set_Oimage(B,D,A),E))=hAPP(c_Set_Oimage(B,D,A),E)| -hBOOL(c_in(C,E,D)).
% 198.08/198.14  ** KEPT (pick-wt=22): 67 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 198.08/198.14  ** KEPT (pick-wt=22): 68 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)).
% 198.08/198.14    Following clause subsumed by 67 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 198.08/198.14    Following clause subsumed by 68 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 198.08/198.14  ** KEPT (pick-wt=22): 69 [] c_lesse_quals(hAPP(c_Set_Ovimage(A,B,C),D),hAPP(c_Set_Ovimage(A,B,C),E),tc_fun(B,tc_bool))| -c_lesse_quals(D,E,tc_fun(C,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=23): 70 [] 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)).
% 198.08/198.14    Following clause subsumed by 70 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)).
% 198.08/198.14  ** KEPT (pick-wt=19): 71 [] -class_HOL_Ominus(A)|hAPP(c_HOL_Ominus__class_Ominus(B,C,tc_fun(t_a,A)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(B,v_x),hAPP(C,v_x),A).
% 198.08/198.14  ** KEPT (pick-wt=35): 72 [] c_Finite__Set_Ofold1(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B)=hAPP(hAPP(A,C),c_Finite__Set_Ofold1(A,D,B))|hBOOL(c_in(C,D,B))| -c_Finite__Set_Ofinite(D,B)|D=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_OrderedGroup_Oab__semigroup__mult(A,B).
% 198.08/198.14  ** KEPT (pick-wt=7): 73 [] -class_Lattices_Oupper__semilattice(A)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(A),A,A).
% 198.08/198.14  ** KEPT (pick-wt=10): 74 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 198.08/198.14  ** KEPT (pick-wt=10): 75 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 198.08/198.14  ** KEPT (pick-wt=7): 76 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 198.08/198.14  ** KEPT (pick-wt=19): 77 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Complete__Lattice_OSup__class_OSup(C,A)).
% 198.08/198.14  ** KEPT (pick-wt=8): 78 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 198.08/198.14  ** KEPT (pick-wt=14): 79 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B).
% 198.08/198.14    Following clause subsumed by 5 during input processing: 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 198.08/198.14  ** KEPT (pick-wt=22): 80 [] 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).
% 198.08/198.14  ** KEPT (pick-wt=25): 81 [] 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)).
% 198.08/198.14  ** KEPT (pick-wt=8): 82 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 198.08/198.14  ** KEPT (pick-wt=15): 83 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 198.08/198.14  ** KEPT (pick-wt=28): 84 [] hAPP(c_Set_Oimage(A,B,C),D)!=hAPP(c_Set_Oimage(A,B,C),E)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),D),E),B,C)|D=E.
% 198.08/198.14  ** KEPT (pick-wt=15): 85 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 198.08/198.14  ** KEPT (pick-wt=25): 86 [] c_lesse_quals(hAPP(A,B),C,tc_fun(D,tc_bool))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,A,F,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=8): 87 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 198.08/198.14  ** KEPT (pick-wt=29): 88 [] 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)).
% 198.08/198.14  ** KEPT (pick-wt=12): 89 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 198.08/198.14  ** KEPT (pick-wt=12): 90 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 198.08/198.14  ** KEPT (pick-wt=12): 91 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 198.08/198.14  ** KEPT (pick-wt=16): 92 [] 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).
% 198.08/198.14    Following clause subsumed by 92 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).
% 198.08/198.14  ** KEPT (pick-wt=22): 93 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 198.08/198.14  ** KEPT (pick-wt=22): 94 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=22): 95 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=37): 96 [] 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))|c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=37): 97 [] 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))| -c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 198.08/198.14  ** KEPT (pick-wt=22): 98 [] hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_OrderedGroup_Oab__semigroup__mult(A,E).
% 198.08/198.14  ** KEPT (pick-wt=22): 99 [] hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))=hAPP(hAPP(A,C),hAPP(hAPP(A,B),D))| -c_OrderedGroup_Oab__semigroup__mult(A,E).
% 198.08/198.14  ** KEPT (pick-wt=14): 100 [] hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_OrderedGroup_Oab__semigroup__mult(A,D).
% 198.08/198.15  ** KEPT (pick-wt=18): 101 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 198.08/198.15  ** KEPT (pick-wt=19): 102 [] 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)).
% 198.08/198.15  ** KEPT (pick-wt=15): 103 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 198.08/198.15  ** KEPT (pick-wt=15): 104 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 198.08/198.15  ** KEPT (pick-wt=27): 105 [] hAPP(c_Set_Oimage(A,B,B),C)=C| -c_Fun_Oinj__on(A,C,B,B)| -c_lesse_quals(hAPP(c_Set_Oimage(A,B,B),C),C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 198.08/198.15  ** KEPT (pick-wt=22): 106 [] 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)).
% 198.08/198.15  ** KEPT (pick-wt=25): 107 [] -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)).
% 198.08/198.15  ** KEPT (pick-wt=25): 108 [] -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)).
% 198.08/198.15  ** KEPT (pick-wt=25): 109 [] -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)).
% 198.08/198.15  ** KEPT (pick-wt=25): 110 [] -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)).
% 198.08/198.15  ** KEPT (pick-wt=25): 111 [] 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)).
% 198.08/198.15  ** KEPT (pick-wt=13): 112 [] 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).
% 198.08/198.15  ** KEPT (pick-wt=13): 113 [] 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).
% 198.08/198.15    Following clause subsumed by 1 during input processing: 0 [flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 198.08/198.15  ** KEPT (pick-wt=28): 114 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=23): 115 [] -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)).
% 198.08/198.15  ** KEPT (pick-wt=31): 116 [] -class_Lattices_Olattice(A)|c_lesse_quals(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)),A).
% 198.08/198.15  ** KEPT (pick-wt=15): 117 [] -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.
% 198.08/198.15  ** KEPT (pick-wt=15): 118 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 198.08/198.15    Following clause subsumed by 118 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=13): 119 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 198.08/198.15    Following clause subsumed by 119 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 198.08/198.15    Following clause subsumed by 119 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 198.08/198.15  ** KEPT (pick-wt=15): 120 [] -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.
% 198.08/198.15  ** KEPT (pick-wt=14): 121 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -c_lesse_quals(C,B,A).
% 198.08/198.15  ** KEPT (pick-wt=14): 122 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|c_lesse_quals(B,C,A).
% 198.08/198.15  ** KEPT (pick-wt=14): 123 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -c_lesse_quals(B,C,A).
% 198.08/198.15  ** KEPT (pick-wt=16): 124 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=16): 125 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=16): 126 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=C|c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=11): 127 [] c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(A,B,C),D),C)| -c_Finite__Set_Ofinite(D,B).
% 198.08/198.15  ** KEPT (pick-wt=25): 128 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),c_Finite__Set_Olinorder__class_OMin(C,A),A)| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=16): 129 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 198.08/198.15  ** KEPT (pick-wt=16): 130 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 198.08/198.15  ** KEPT (pick-wt=16): 131 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 198.08/198.15  ** KEPT (pick-wt=16): 132 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(A,D,E).
% 198.08/198.15    Following clause subsumed by 131 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 198.08/198.15    Following clause subsumed by 130 during input processing: 0 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 198.08/198.15    Following clause subsumed by 131 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 198.08/198.15    Following clause subsumed by 132 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D)|hBOOL(hAPP(hAPP(C,B),B)).
% 198.08/198.15    Following clause subsumed by 33 during input processing: 0 [] -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(A,C,D)| -hBOOL(hAPP(hAPP(C,B),B)).
% 198.08/198.15  ** KEPT (pick-wt=18): 133 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),B,A),C,A)| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 198.08/198.15  ** KEPT (pick-wt=13): 134 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(B,A),C,A)| -hBOOL(c_in(C,B,A)).
% 198.08/198.15  ** KEPT (pick-wt=15): 135 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|c_lesse_quals(B,C,A).
% 198.08/198.15  ** KEPT (pick-wt=15): 136 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 198.08/198.15  ** KEPT (pick-wt=32): 137 [] 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)).
% 198.08/198.15  ** KEPT (pick-wt=32): 138 [] 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)).
% 198.08/198.15  ** KEPT (pick-wt=19): 139 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),tc_fun(C,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=19): 140 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=15): 141 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 198.08/198.15  ** KEPT (pick-wt=15): 142 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 198.08/198.15  ** KEPT (pick-wt=15): 143 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(B,D,A).
% 198.08/198.15  ** KEPT (pick-wt=15): 144 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(C,D,A).
% 198.08/198.15    Following clause subsumed by 141 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 198.08/198.15    Following clause subsumed by 142 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 198.08/198.15  ** KEPT (pick-wt=17): 145 [] hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),E),C))| -hBOOL(c_in(hAPP(B,A),E,D)).
% 198.08/198.15    Following clause subsumed by 145 during input processing: 0 [] hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),E),C))| -hBOOL(c_in(hAPP(B,A),E,D)).
% 198.08/198.15    Following clause subsumed by 145 during input processing: 0 [] hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),E),C))| -hBOOL(c_in(hAPP(B,A),E,D)).
% 198.08/198.15  ** KEPT (pick-wt=17): 146 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,hAPP(c_Set_Ovimage(A,E,D),C),E)).
% 198.08/198.15    Following clause subsumed by 146 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,hAPP(c_Set_Ovimage(A,E,D),C),E)).
% 198.08/198.15  ** KEPT (pick-wt=23): 147 [] 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).
% 198.08/198.15  ** KEPT (pick-wt=23): 148 [] 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).
% 198.08/198.15  ** KEPT (pick-wt=15): 149 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=15): 150 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=10): 151 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 198.08/198.15  ** KEPT (pick-wt=10): 152 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 198.08/198.15  ** KEPT (pick-wt=20): 153 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=20): 154 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=25): 155 [] c_Fun_Oinj__on(c_Fun_Ocomp(A,B,C,D,E),F,E,D)| -c_Fun_Oinj__on(A,hAPP(c_Set_Oimage(B,E,C),F),C,D)| -c_Fun_Oinj__on(B,F,E,C).
% 198.08/198.15    Following clause subsumed by 59 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 198.08/198.15  ** KEPT (pick-wt=21): 156 [] 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)).
% 198.08/198.15    Following clause subsumed by 156 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)).
% 198.08/198.15  ** KEPT (pick-wt=8): 157 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 198.08/198.15  ** KEPT (pick-wt=57): 158 [] 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))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A)| -c_OrderedGroup_Oab__semigroup__mult(D,A)|c_Finite__Set_Ofold1(D,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)=hAPP(hAPP(D,c_Finite__Set_Ofold1(D,B,A)),c_Finite__Set_Ofold1(D,C,A)).
% 198.08/198.15  ** KEPT (pick-wt=5): 159 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 198.08/198.15    Following clause subsumed by 41 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)).
% 198.08/198.15  ** KEPT (pick-wt=35): 160 [] -hBOOL(c_in(hAPP(A,B),hAPP(c_Set_Oimage(A,C,D),c_HOL_Ominus__class_Ominus(E,hAPP(hAPP(c_Set_Oinsert(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool))),D))| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Set_Oinsert(C),B),E),C,D).
% 198.08/198.15  ** KEPT (pick-wt=19): 161 [] A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(D,C,E).
% 198.08/198.15    Following clause subsumed by 161 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(C,D,E).
% 198.08/198.15  ** KEPT (pick-wt=15): 162 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),A),B)).
% 198.08/198.15  ** KEPT (pick-wt=15): 163 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),D),B)).
% 198.08/198.15  ** KEPT (pick-wt=19): 164 [] c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(B,hAPP(c_Set_Oimage(A,C,C),B),tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 198.08/198.15  ** KEPT (pick-wt=17): 165 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),E),B),C,D).
% 198.08/198.15  ** KEPT (pick-wt=17): 166 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),E),C,D).
% 198.08/198.15  ** KEPT (pick-wt=17): 167 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),hAPP(c_Set_Oimage(D,C,E),B),E)).
% 198.08/198.15    Following clause subsumed by 167 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),hAPP(c_Set_Oimage(D,C,E),B),E)).
% 198.08/198.15    Following clause subsumed by 167 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),hAPP(c_Set_Oimage(A,C,D),E),D))| -hBOOL(c_in(B,E,C)).
% 198.08/198.15    Following clause subsumed by 167 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),hAPP(c_Set_Oimage(A,C,D),E),D))| -hBOOL(c_in(B,E,C)).
% 198.08/198.15  ** KEPT (pick-wt=24): 168 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=24): 169 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=7): 170 [] -class_Lattices_Olower__semilattice(A)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(A),A,A).
% 198.08/198.15  ** KEPT (pick-wt=13): 171 [] 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).
% 198.08/198.15  ** KEPT (pick-wt=13): 172 [] 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).
% 198.08/198.15  ** KEPT (pick-wt=16): 173 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 198.08/198.15  ** KEPT (pick-wt=11): 174 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 198.08/198.15  ** KEPT (pick-wt=11): 175 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 198.08/198.15  ** KEPT (pick-wt=12): 176 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=12): 177 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=7): 178 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 198.08/198.15  ** KEPT (pick-wt=15): 179 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=15): 180 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=17): 181 [] hAPP(c_Set_Oimage(A,B,C),D)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|D=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=18): 182 [] 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).
% 198.08/198.15  ** KEPT (pick-wt=18): 183 [] 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).
% 198.08/198.15  ** KEPT (pick-wt=12): 184 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 198.08/198.15  ** KEPT (pick-wt=8): 185 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 198.08/198.15    Following clause subsumed by 185 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 198.08/198.15    Following clause subsumed by 185 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 198.08/198.15    Following clause subsumed by 185 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 198.08/198.15  ** KEPT (pick-wt=15): 186 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=12): 187 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 198.08/198.15  ** KEPT (pick-wt=10): 188 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 198.08/198.15  ** KEPT (pick-wt=17): 189 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=hAPP(c_Set_Oimage(B,C,A),D)|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 198.08/198.15    Following clause subsumed by 185 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 198.08/198.15  ** KEPT (pick-wt=19): 190 [] 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)).
% 198.08/198.15  ** KEPT (pick-wt=19): 191 [] 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)).
% 198.08/198.15  ** KEPT (pick-wt=26): 192 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool)))=C| -hBOOL(c_in(B,C,A)).
% 198.08/198.15  ** KEPT (pick-wt=23): 193 [] hAPP(A,B)=C| -hBOOL(c_in(B,hAPP(c_Set_Ovimage(A,D,E),hAPP(hAPP(c_Set_Oinsert(E),C),c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)))),D)).
% 198.08/198.15  ** KEPT (pick-wt=32): 194 [] c_lesse_quals(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),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=11): 195 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 198.08/198.15  ** KEPT (pick-wt=11): 196 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 198.08/198.15  ** KEPT (pick-wt=19): 197 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 198.08/198.15    Following clause subsumed by 197 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 198.08/198.15    Following clause subsumed by 197 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 198.08/198.15  ** KEPT (pick-wt=11): 198 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 198.08/198.15  ** KEPT (pick-wt=11): 199 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 198.08/198.15  ** KEPT (pick-wt=25): 200 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 198.08/198.15    Following clause subsumed by 200 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=5): 201 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 198.08/198.15  ** KEPT (pick-wt=30): 202 [] -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)).
% 198.08/198.15  ** KEPT (pick-wt=30): 204 [copy,203,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)).
% 198.08/198.15  ** KEPT (pick-wt=22): 205 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -hBOOL(c_in(B,D,A)).
% 198.08/198.15  ** KEPT (pick-wt=20): 206 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=20): 207 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=19): 208 [] hAPP(hAPP(A,B),hAPP(hAPP(A,B),C))=hAPP(hAPP(A,B),C)| -c_Finite__Set_Ofun__left__comm__idem(A,D,E).
% 198.08/198.15  ** KEPT (pick-wt=21): 209 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)),C).
% 198.08/198.15  ** KEPT (pick-wt=21): 210 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),B).
% 198.08/198.15  ** KEPT (pick-wt=7): 211 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 198.08/198.15  ** KEPT (pick-wt=17): 212 [] 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)).
% 198.08/198.15  ** KEPT (pick-wt=17): 213 [] 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)).
% 198.08/198.15  ** KEPT (pick-wt=15): 214 [] c_Finite__Set_Ofun__left__comm__idem(c_COMBB(A,B,C,tc_fun(D,D),E),E,D)| -c_Finite__Set_Ofun__left__comm__idem(A,C,D).
% 198.08/198.15  ** KEPT (pick-wt=10): 215 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B.
% 198.08/198.15  ** KEPT (pick-wt=15): 216 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 198.08/198.15  ** KEPT (pick-wt=15): 217 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 198.08/198.15  ** KEPT (pick-wt=15): 218 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,D,A).
% 198.08/198.15  ** KEPT (pick-wt=15): 219 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,C,A).
% 198.08/198.15    Following clause subsumed by 216 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 198.08/198.15    Following clause subsumed by 217 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 198.08/198.15  ** KEPT (pick-wt=19): 220 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),A),D),B,tc_fun(C,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=19): 221 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),A),B,tc_fun(C,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=18): 222 [] -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).
% 198.08/198.15  ** KEPT (pick-wt=23): 223 [] -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)).
% 198.08/198.15  ** KEPT (pick-wt=14): 224 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 198.08/198.15  ** KEPT (pick-wt=14): 225 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 198.08/198.15  ** KEPT (pick-wt=16): 226 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 198.08/198.15    Following clause subsumed by 226 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 198.08/198.15    Following clause subsumed by 226 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 198.08/198.15    Following clause subsumed by 226 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=18): 227 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=16): 228 [] c_Fun_Oinj__on(A,B,C,D)| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,E,C,D).
% 198.08/198.15  ** KEPT (pick-wt=14): 229 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 198.08/198.15  ** KEPT (pick-wt=6): 230 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 198.08/198.15  ** KEPT (pick-wt=6): 231 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 198.08/198.15  ** KEPT (pick-wt=12): 232 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 198.08/198.15    Following clause subsumed by 229 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 198.08/198.15    Following clause subsumed by 232 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 198.08/198.15  ** KEPT (pick-wt=32): 233 [] c_lesse_quals(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),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=15): 234 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 198.08/198.16  ** KEPT (pick-wt=15): 235 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 198.08/198.16  ** KEPT (pick-wt=45): 236 [] hAPP(c_Set_Oimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(B,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(A,B,C),D),hAPP(c_Set_Oimage(A,B,C),E),tc_fun(C,tc_bool))| -c_lesse_quals(E,F,tc_fun(B,tc_bool))| -c_lesse_quals(D,F,tc_fun(B,tc_bool))| -c_Fun_Oinj__on(A,F,B,C).
% 198.08/198.16  ** KEPT (pick-wt=18): 237 [] -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).
% 198.08/198.16  ** KEPT (pick-wt=23): 238 [] 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)).
% 198.08/198.16  ** KEPT (pick-wt=24): 239 [] 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)).
% 198.08/198.16  ** KEPT (pick-wt=28): 240 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=15): 241 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(hAPP(c_Set_Ovimage(B,D,E),A),C)).
% 198.08/198.16  ** KEPT (pick-wt=15): 242 [] hBOOL(hAPP(hAPP(c_Set_Ovimage(A,B,C),D),E))| -hBOOL(hAPP(D,hAPP(A,E))).
% 198.08/198.16  ** KEPT (pick-wt=19): 243 [] A=B|hBOOL(hAPP(hAPP(C,B),A))|hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Olinorder(D,C,E).
% 198.08/198.16    Following clause subsumed by 243 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))|C=B| -c_Orderings_Olinorder(D,A,E).
% 198.08/198.16    Following clause subsumed by 243 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|C=B|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 198.08/198.16    Following clause subsumed by 243 during input processing: 0 [] A=B|hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Olinorder(D,C,E).
% 198.08/198.16  ** KEPT (pick-wt=16): 244 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),C,A)| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 198.08/198.16  ** KEPT (pick-wt=22): 245 [] 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)).
% 198.08/198.16    Following clause subsumed by 245 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)).
% 198.08/198.16  ** KEPT (pick-wt=19): 246 [] 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)).
% 198.08/198.16  ** KEPT (pick-wt=18): 247 [] c_Fun_Ocomp(hAPP(A,B),hAPP(A,B),C,C,C)=hAPP(A,B)| -c_Finite__Set_Ofun__left__comm__idem(A,D,C).
% 198.08/198.16  ** KEPT (pick-wt=25): 248 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=19): 249 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 198.08/198.16  ** KEPT (pick-wt=19): 250 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 198.08/198.16  ** KEPT (pick-wt=22): 251 [] c_lesse_quals(hAPP(c_Set_Oimage(A,B,C),D),hAPP(c_Set_Oimage(A,B,C),E),tc_fun(C,tc_bool))| -c_lesse_quals(D,E,tc_fun(B,tc_bool)).
% 198.08/198.16    Following clause subsumed by 251 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(hAPP(c_Set_Oimage(D,C,E),A),hAPP(c_Set_Oimage(D,C,E),B),tc_fun(E,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=20): 252 [] -class_Orderings_Oorder(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OlessThan(B,A)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=16): 253 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(C,A,B,D)| -c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(C,B,D),A),D).
% 198.08/198.16  ** KEPT (pick-wt=16): 254 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Finite__Set_Olinorder__class_OMax(C,A),A)| -hBOOL(c_in(B,C,A))| -c_Finite__Set_Ofinite(C,A).
% 198.08/198.16  ** KEPT (pick-wt=13): 255 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(c_in(B,C,A)).
% 198.08/198.16    Following clause subsumed by 201 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 198.08/198.16  ** KEPT (pick-wt=10): 256 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 198.08/198.16  ** KEPT (pick-wt=19): 257 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(c_in(B,C,A))| -c_OrderedGroup_Oab__semigroup__mult(D,E).
% 198.08/198.16  ** KEPT (pick-wt=25): 258 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 198.08/198.16  ** KEPT (pick-wt=18): 259 [] -c_Orderings_Olinorder(A,B,C)|c_Finite__Set_Ofold1(D,hAPP(hAPP(c_Set_Oinsert(E),F),c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))),E)=F.
% 198.08/198.16  ** KEPT (pick-wt=28): 260 [] -class_Orderings_Oorder(A)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_SetInterval_Oord__class_OlessThan(B,A),tc_fun(A,tc_bool))=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 198.08/198.16  ** KEPT (pick-wt=36): 261 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=25): 262 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 198.08/198.16  ** KEPT (pick-wt=22): 263 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(A),B),C),hAPP(hAPP(c_Set_Oinsert(A),B),D),tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=15): 264 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 198.08/198.16    Following clause subsumed by 264 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 198.08/198.16  ** KEPT (pick-wt=26): 265 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=26): 266 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=18): 267 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),C)).
% 198.08/198.16  ** KEPT (pick-wt=11): 268 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 198.08/198.16  ** KEPT (pick-wt=11): 269 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(B),C),A),B).
% 198.08/198.16  ** KEPT (pick-wt=17): 270 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=17): 271 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(C),D),A),B,tc_fun(C,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=15): 272 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Set_Oinsert(C),E),B),C,D).
% 198.08/198.16  ** KEPT (pick-wt=26): 273 [] 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.
% 198.08/198.16  ** KEPT (pick-wt=13): 274 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)=C| -hBOOL(c_in(B,C,A)).
% 198.08/198.16  ** KEPT (pick-wt=22): 275 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,c_Hoare__Mirabelle_Otriple_Otriple(C,D,E,t_b),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 198.08/198.16    Following clause subsumed by 275 during input processing: 0 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,c_Hoare__Mirabelle_Otriple_Otriple(C,D,E,t_b),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 198.08/198.16  ** KEPT (pick-wt=15): 276 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,D,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C).
% 198.08/198.16  ** KEPT (pick-wt=11): 277 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=49): 278 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=68): 279 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=11): 280 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 198.08/198.16  ** KEPT (pick-wt=11): 281 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A).
% 198.08/198.16  ** KEPT (pick-wt=31): 282 [] 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))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=23): 283 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=23): 284 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=15): 285 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 198.08/198.16  ** KEPT (pick-wt=15): 286 [] -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.
% 198.08/198.16  ** KEPT (pick-wt=32): 287 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=32): 288 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=18): 289 [] 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)).
% 198.08/198.16  ** KEPT (pick-wt=25): 290 [] 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)).
% 198.08/198.16  ** KEPT (pick-wt=16): 291 [] A=B| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),C)).
% 198.08/198.16  ** KEPT (pick-wt=15): 292 [] -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.
% 198.08/198.16  ** KEPT (pick-wt=16): 294 [copy,293,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).
% 198.08/198.16  ** KEPT (pick-wt=16): 295 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(c_in(B,C,A)).
% 198.08/198.16  ** KEPT (pick-wt=15): 296 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 198.08/198.16  ** KEPT (pick-wt=58): 297 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=58): 298 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=52): 299 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=52): 300 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=56): 301 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=28): 302 [] 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).
% 198.08/198.16  ** KEPT (pick-wt=12): 303 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 198.08/198.16  ** KEPT (pick-wt=11): 305 [copy,304,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=14): 306 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 198.08/198.16  ** KEPT (pick-wt=14): 307 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 198.08/198.16  ** KEPT (pick-wt=14): 308 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 198.08/198.16  ** KEPT (pick-wt=35): 309 [] 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.
% 198.08/198.16  ** KEPT (pick-wt=35): 310 [] 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.
% 198.08/198.16  ** KEPT (pick-wt=35): 311 [] 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.
% 198.08/198.16  ** KEPT (pick-wt=35): 312 [] 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.
% 198.08/198.16  ** KEPT (pick-wt=7): 313 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 198.08/198.16  ** KEPT (pick-wt=16): 314 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(D),C),A),B)).
% 198.08/198.16    Following clause subsumed by 305 during input processing: 0 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.16  ** KEPT (pick-wt=22): 315 [] 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.
% 198.08/198.16  ** KEPT (pick-wt=13): 316 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(A),B),C),D))| -hBOOL(hAPP(C,D)).
% 198.08/198.16  ** KEPT (pick-wt=18): 317 [] -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).
% 198.08/198.16  ** KEPT (pick-wt=21): 318 [] hBOOL(hAPP(hAPP(v_Q,A),B))|hBOOL(hAPP(hAPP(v_P_H,v_Z(A,C,B)),C))| -hBOOL(hAPP(hAPP(v_P,A),C)).
% 198.08/198.16  ** KEPT (pick-wt=21): 319 [] hBOOL(hAPP(hAPP(v_Q,A),B))| -hBOOL(hAPP(hAPP(v_Q_H,v_Z(A,C,B)),B))| -hBOOL(hAPP(hAPP(v_P,A),C)).
% 198.08/198.16  ** KEPT (pick-wt=6): 320 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 198.08/198.16  ** KEPT (pick-wt=6): 321 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 198.08/198.16  ** KEPT (pick-wt=6): 322 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 198.08/198.16  ** KEPT (pick-wt=6): 323 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 198.08/198.16  ** KEPT (pick-wt=6): 324 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 198.08/198.16  ** KEPT (pick-wt=8): 325 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 198.08/198.17  ** KEPT (pick-wt=6): 326 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 198.08/198.17  ** KEPT (pick-wt=6): 327 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 198.08/198.17  ** KEPT (pick-wt=6): 328 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 198.08/198.17  ** KEPT (pick-wt=6): 329 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 198.08/198.17  ** KEPT (pick-wt=6): 330 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 198.08/198.17  ** KEPT (pick-wt=6): 331 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 198.08/198.17  ** KEPT (pick-wt=9): 332 [] A=B| -hBOOL(hAPP(c_fe_qual(A,C),B)).
% 198.08/198.17    Following clause subsumed by 211 during input processing: 0 [copy,76,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 198.08/198.17    Following clause subsumed by 87 during input processing: 0 [copy,78,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 198.08/198.17    Following clause subsumed by 157 during input processing: 0 [copy,82,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 198.08/198.17    Following clause subsumed by 78 during input processing: 0 [copy,87,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 198.08/198.17    Following clause subsumed by 82 during input processing: 0 [copy,157,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 198.08/198.17    Following clause subsumed by 76 during input processing: 0 [copy,211,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 198.08/198.17  270 back subsumes 261.
% 198.08/198.17  270 back subsumes 67.
% 198.08/198.17  295 back subsumes 257.
% 198.08/198.17  305 back subsumes 295.
% 198.08/198.17  348 back subsumes 347.
% 198.08/198.17  
% 198.08/198.17  ------------> process sos:
% 198.08/198.17  ** KEPT (pick-wt=3): 368 [] A=A.
% 198.08/198.17  ** KEPT (pick-wt=9): 369 [] hAPP(c_Set_Oimage(c_COMBI(A),A,A),B)=B.
% 198.08/198.17  ---> New Demodulator: 370 [new_demod,369] hAPP(c_Set_Oimage(c_COMBI(A),A,A),B)=B.
% 198.08/198.17  ** KEPT (pick-wt=11): 372 [copy,371,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 198.08/198.17  ---> New Demodulator: 373 [new_demod,372] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 198.08/198.17  ** KEPT (pick-wt=38): 374 [] 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)).
% 198.08/198.17  ** KEPT (pick-wt=38): 376 [copy,375,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)).
% 198.08/198.17  ---> New Demodulator: 377 [new_demod,376] 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)).
% 198.08/198.17  ** KEPT (pick-wt=10): 378 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 198.08/198.17  ---> New Demodulator: 379 [new_demod,378] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 198.08/198.17  ** KEPT (pick-wt=29): 380 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=17): 381 [] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 198.08/198.17  ---> New Demodulator: 382 [new_demod,381] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 198.08/198.17  ** KEPT (pick-wt=14): 383 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 198.08/198.17  ---> New Demodulator: 384 [new_demod,383] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 198.08/198.17  ** KEPT (pick-wt=13): 385 [] c_COMBC(A,B,C,D,E,F)=hAPP(hAPP(A,C),B).
% 198.08/198.17  ** KEPT (pick-wt=6): 386 [] hAPP(c_COMBI(A),B)=B.
% 198.08/198.17  ---> New Demodulator: 387 [new_demod,386] hAPP(c_COMBI(A),B)=B.
% 198.08/198.17  ** KEPT (pick-wt=8): 388 [] hAPP(c_COMBK(A,B,C),D)=A.
% 198.08/198.17  ---> New Demodulator: 389 [new_demod,388] hAPP(c_COMBK(A,B,C),D)=A.
% 198.08/198.17  ** KEPT (pick-wt=15): 390 [] c_COMBS(A,B,C,D,E,F)=hAPP(hAPP(A,C),hAPP(B,C)).
% 198.08/198.17  ** KEPT (pick-wt=18): 391 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 392 [new_demod,391] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=31): 393 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(A,B,C),D),hAPP(c_Set_Oimage(A,B,C),E),tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(B,tc_bool))),tc_fun(C,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=31): 394 [] 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)).
% 198.08/198.17  ** KEPT (pick-wt=31): 395 [] 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)).
% 198.08/198.17  ---> New Demodulator: 396 [new_demod,395] 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)).
% 198.08/198.17  ** KEPT (pick-wt=36): 398 [copy,397,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 399 [new_demod,398] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=13): 400 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=13): 401 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=17): 402 [] 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).
% 198.08/198.17  ** KEPT (pick-wt=11): 403 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=73): 405 [copy,404,demod,396,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))).
% 198.08/198.17  ---> New Demodulator: 406 [new_demod,405] 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))).
% 198.08/198.17  ** KEPT (pick-wt=17): 407 [] hAPP(c_Set_Oimage(c_COMBK(A,B,C),C,B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=27): 408 [] 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_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)|hBOOL(c_in(C,B,A)).
% 198.08/198.17  ** KEPT (pick-wt=27): 409 [] 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_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)|hBOOL(c_in(B,D,A)).
% 198.08/198.17  ** KEPT (pick-wt=22): 410 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 198.08/198.17  ---> New Demodulator: 411 [new_demod,410] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 198.08/198.17  ** KEPT (pick-wt=22): 412 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 198.08/198.17  ---> New Demodulator: 413 [new_demod,412] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 198.08/198.17  ** KEPT (pick-wt=28): 414 [] hAPP(c_Set_Ovimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(A,B,C),D),hAPP(c_Set_Ovimage(A,B,C),E),tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=16): 415 [] c_lesse_quals(hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Ovimage(A,B,C),D)),D,tc_fun(C,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=5): 416 [] c_Collect(A,B)=A.
% 198.08/198.17  ---> New Demodulator: 417 [new_demod,416] c_Collect(A,B)=A.
% 198.08/198.17  ** KEPT (pick-wt=6): 418 [] c_Fun_Oinj__on(c_COMBI(A),B,A,A).
% 198.08/198.17  ** KEPT (pick-wt=13): 419 [] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A.
% 198.08/198.17  ---> New Demodulator: 420 [new_demod,419] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A.
% 198.08/198.17  ** KEPT (pick-wt=35): 421 [] c_lesse_quals(hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),D),E)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E)),tc_fun(C,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=14): 422 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 198.08/198.17  ---> New Demodulator: 423 [new_demod,422] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 198.08/198.17    Following clause subsumed by 368 during input processing: 0 [demod,423] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 198.08/198.17  ** KEPT (pick-wt=9): 424 [] hAPP(c_Set_Ovimage(c_COMBI(A),A,A),B)=B.
% 198.08/198.17  ---> New Demodulator: 425 [new_demod,424] hAPP(c_Set_Ovimage(c_COMBI(A),A,A),B)=B.
% 198.08/198.17  ** KEPT (pick-wt=31): 426 [] 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)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.17  ---> New Demodulator: 427 [new_demod,426] 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)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.17  ** KEPT (pick-wt=31): 428 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),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)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 198.08/198.17  ** KEPT (pick-wt=27): 430 [copy,429,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(A,B,C),D),E,C,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(E,A,C,tc_fun(F,tc_bool),B),B,tc_fun(F,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 431 [new_demod,430] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(A,B,C),D),E,C,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(E,A,C,tc_fun(F,tc_bool),B),B,tc_fun(F,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=19): 432 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 198.08/198.17  ---> New Demodulator: 433 [new_demod,432] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 198.08/198.17  ** KEPT (pick-wt=19): 434 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 198.08/198.17  ---> New Demodulator: 435 [new_demod,434] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 198.08/198.17  ** KEPT (pick-wt=34): 436 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 437 [new_demod,436] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=34): 438 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 439 [new_demod,438] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=34): 440 [] c_HOL_Ominus__class_Ominus(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),C),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 441 [new_demod,440] c_HOL_Ominus__class_Ominus(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),C),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=22): 442 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=B.
% 198.08/198.17  ---> New Demodulator: 443 [new_demod,442] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=B.
% 198.08/198.17  ** KEPT (pick-wt=42): 445 [copy,444,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=14): 446 [] 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).
% 198.08/198.17  ---> New Demodulator: 447 [new_demod,446] 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).
% 198.08/198.17  ** KEPT (pick-wt=29): 448 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),hAPP(D,B)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 198.08/198.17  ** KEPT (pick-wt=19): 449 [] hAPP(c_Set_Ovimage(c_COMBK(A,B,C),C,B),D)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,D,B)).
% 198.08/198.17  ** KEPT (pick-wt=32): 451 [copy,450,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 452 [new_demod,451] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=23): 453 [] hAPP(c_Set_Ovimage(c_Fun_Ocomp(A,B,C,D,E),E,D),F)=hAPP(c_Set_Ovimage(B,E,C),hAPP(c_Set_Ovimage(A,C,D),F)).
% 198.08/198.17  ---> New Demodulator: 454 [new_demod,453] hAPP(c_Set_Ovimage(c_Fun_Ocomp(A,B,C,D,E),E,D),F)=hAPP(c_Set_Ovimage(B,E,C),hAPP(c_Set_Ovimage(A,C,D),F)).
% 198.08/198.17  ** KEPT (pick-wt=17): 455 [] 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),B).
% 198.08/198.17    Following clause subsumed by 368 during input processing: 0 [demod,399] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool)).
% 198.08/198.17    Following clause subsumed by 368 during input processing: 0 [demod,399] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=24): 456 [] 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)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 198.08/198.17  ---> New Demodulator: 457 [new_demod,456] 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)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 198.08/198.17  ** KEPT (pick-wt=25): 459 [copy,458,demod,437] c_HOL_Ominus__class_Ominus(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),B),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=32): 460 [] hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 198.08/198.17  ** KEPT (pick-wt=28): 462 [copy,461,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))|hBOOL(c_in(B,D,A)).
% 198.08/198.17  ** KEPT (pick-wt=32): 463 [] hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 198.08/198.17  ** KEPT (pick-wt=14): 464 [] hAPP(c_Set_Ovimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.17    Following clause subsumed by 368 during input processing: 0 [demod,379] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=12): 465 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=14): 466 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 467 [new_demod,466] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=13): 468 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 198.08/198.17  ---> New Demodulator: 469 [new_demod,468] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 198.08/198.17  ** KEPT (pick-wt=13): 470 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 198.08/198.17  ---> New Demodulator: 471 [new_demod,470] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 198.08/198.17  ** KEPT (pick-wt=11): 472 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=11): 473 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 198.08/198.17  ---> New Demodulator: 474 [new_demod,473] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 198.08/198.17  ** KEPT (pick-wt=6): 475 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 198.08/198.17  ** KEPT (pick-wt=16): 476 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 477 [new_demod,476] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=16): 478 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 479 [new_demod,478] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=9): 480 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=14): 481 [] hAPP(c_Set_Oimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=8): 482 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 198.08/198.17  ** KEPT (pick-wt=14): 483 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Oimage(B,C,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 198.08/198.17  ** KEPT (pick-wt=38): 485 [copy,484,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))))),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Set_Oinsert(C),D),E)).
% 198.08/198.17  ---> New Demodulator: 486 [new_demod,485] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))))),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Set_Oinsert(C),D),E)).
% 198.08/198.17  ** KEPT (pick-wt=27): 487 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBB(hAPP(c_Set_Oinsert(B),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 488 [new_demod,487] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBB(hAPP(c_Set_Oinsert(B),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=25): 489 [] hAPP(c_Set_Oimage(c_COMBK(A,B,C),C,B),D)=hAPP(hAPP(c_Set_Oinsert(B),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=38): 491 [copy,490,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Set_Oinsert(A),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=13): 492 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=13): 493 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),C,tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=23): 495 [copy,494,flip.1] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 198.08/198.17  ---> New Demodulator: 496 [new_demod,495] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 198.08/198.17  ** KEPT (pick-wt=38): 498 [copy,497,flip.1] 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)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.17  ---> New Demodulator: 499 [new_demod,498] 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)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.17  ** KEPT (pick-wt=38): 500 [] 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)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.17    Following clause subsumed by 368 during input processing: 0 [demod,423] hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 198.08/198.17  ** KEPT (pick-wt=23): 502 [copy,501,flip.1] hAPP(c_Set_Oimage(c_COMBB(A,B,C,D,E),E,D),F)=hAPP(c_Set_Oimage(A,C,D),hAPP(c_Set_Oimage(B,E,C),F)).
% 198.08/198.17  ---> New Demodulator: 503 [new_demod,502] hAPP(c_Set_Oimage(c_COMBB(A,B,C,D,E),E,D),F)=hAPP(c_Set_Oimage(A,C,D),hAPP(c_Set_Oimage(B,E,C),F)).
% 198.08/198.17  ** KEPT (pick-wt=24): 504 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),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),C).
% 198.08/198.17  ---> New Demodulator: 505 [new_demod,504] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),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),C).
% 198.08/198.17  ** KEPT (pick-wt=32): 506 [] hAPP(c_Set_Oimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(B,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Oimage(A,B,C),E,tc_fun(B,tc_bool),tc_fun(C,tc_bool),F),F,tc_fun(C,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=32): 507 [] hAPP(c_Set_Ovimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(C,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Ovimage(A,B,C),E,tc_fun(C,tc_bool),tc_fun(B,tc_bool),F),F,tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=23): 508 [] hAPP(c_Set_Oimage(c_Fun_Ocomp(A,B,C,D,E),E,D),F)=hAPP(c_Set_Oimage(A,C,D),hAPP(c_Set_Oimage(B,E,C),F)).
% 198.08/198.17  ---> New Demodulator: 509 [new_demod,508] hAPP(c_Set_Oimage(c_Fun_Ocomp(A,B,C,D,E),E,D),F)=hAPP(c_Set_Oimage(A,C,D),hAPP(c_Set_Oimage(B,E,C),F)).
% 198.08/198.17  ** KEPT (pick-wt=10): 510 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 198.08/198.17  ---> New Demodulator: 511 [new_demod,510] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 198.08/198.17  ** KEPT (pick-wt=6): 512 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 198.08/198.17    Following clause subsumed by 512 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 198.08/198.17    Following clause subsumed by 368 during input processing: 0 [demod,431] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(E,A,C,tc_fun(F,tc_bool),B),B,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(E,A,C,tc_fun(F,tc_bool),B),B,tc_fun(F,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=44): 514 [copy,513,demod,437,439,511,439,441] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=34): 516 [copy,515,demod,437,flip.1] c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 517 [new_demod,516] c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=32): 519 [copy,518,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(B,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 198.08/198.17  ---> New Demodulator: 520 [new_demod,519] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(B,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=35): 521 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 198.08/198.17  ** KEPT (pick-wt=7): 522 [] c_The(c_fe_qual(A,B),B)=A.
% 198.08/198.17  ---> New Demodulator: 523 [new_demod,522] c_The(c_fe_qual(A,B),B)=A.
% 198.08/198.17    Following clause subsumed by 445 during input processing: 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=32): 524 [] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E)).
% 198.08/198.17  ** KEPT (pick-wt=20): 525 [] hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),hAPP(hAPP(c_Set_Oinsert(D),hAPP(B,A)),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)))),C)).
% 198.08/198.17    Following clause subsumed by 491 during input processing: 0 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Set_Oinsert(A),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=26): 526 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool))=C|hBOOL(c_in(B,C,A)).
% 198.08/198.17  ** KEPT (pick-wt=25): 527 [] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Set_Oinsert(B),D),E))=hAPP(hAPP(c_Set_Oinsert(C),hAPP(A,D)),hAPP(c_Set_Oimage(A,B,C),E)).
% 198.08/198.17  ** KEPT (pick-wt=11): 528 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),A),tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=32): 529 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),hAPP(hAPP(c_Set_Oinsert(A),B),D))=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.17  ---> New Demodulator: 530 [new_demod,529] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),hAPP(hAPP(c_Set_Oinsert(A),B),D))=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.17  ** KEPT (pick-wt=27): 531 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 198.08/198.17  ** KEPT (pick-wt=27): 532 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.17  ---> New Demodulator: 533 [new_demod,532] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.17  ** KEPT (pick-wt=10): 534 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 198.08/198.17    Following clause subsumed by 534 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 198.08/198.17    Following clause subsumed by 534 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 198.08/198.17  ** KEPT (pick-wt=7): 535 [] c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(A),A,tc_fun(A,tc_bool)).
% 198.08/198.17    Following clause subsumed by 368 during input processing: 0 [demod,387] v_P=v_P.
% 198.08/198.17  ** KEPT (pick-wt=17): 536 [] c_Hoare__Mirabelle_Otriple_Otriple__rec(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 198.08/198.17  ** KEPT (pick-wt=17): 537 [] c_Hoare__Mirabelle_Otriple_Otriple__case(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 198.08/198.17    Following clause subsumed by 368 during input processing: 0 [demod,384] hAPP(v_P,hAPP(v_Q,v_R))=hAPP(v_P,hAPP(v_Q,v_R)).
% 198.08/198.17  ** KEPT (pick-wt=15): 539 [copy,538,flip.1] hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R))=c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c).
% 198.08/198.17  ---> New Demodulator: 540 [new_demod,539] hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R))=c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c).
% 198.08/198.17  ** KEPT (pick-wt=13): 542 [copy,541,flip.1] hAPP(hAPP(v_P,v_R),v_Q)=c_COMBC(v_P,v_Q,v_R,t_a,t_b,t_c).
% 198.08/198.17  ---> New Demodulator: 543 [new_demod,542] hAPP(hAPP(v_P,v_R),v_Q)=c_COMBC(v_P,v_Q,v_R,t_a,t_b,t_c).
% 198.08/198.17  ** KEPT (pick-wt=13): 545 [copy,544,demod,417,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_fe_qual(B,A).
% 198.08/198.17  ---> New Demodulator: 546 [new_demod,545] hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_fe_qual(B,A).
% 198.08/198.17  ** KEPT (pick-wt=7): 548 [copy,547,demod,546] hBOOL(c_in(A,c_fe_qual(A,B),B)).
% 198.08/198.17  ** KEPT (pick-wt=10): 550 [copy,549,demod,546,546] hBOOL(hAPP(c_fe_qual(A,B),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_fe_qual(A,B),B))).
% 198.08/198.17  ** KEPT (pick-wt=19): 552 [copy,551,demod,546] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=c_fe_qual(B,A).
% 198.08/198.17  ---> New Demodulator: 553 [new_demod,552] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=c_fe_qual(B,A).
% 198.08/198.17  ** KEPT (pick-wt=9): 555 [copy,554,demod,546] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_fe_qual(B,C),C),B)).
% 198.08/198.17    Following clause subsumed by 368 during input processing: 0 [demod,546,523] B=B.
% 198.08/198.17  ** KEPT (pick-wt=25): 557 [copy,556,demod,546] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fe_qual(C,B),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=25): 559 [copy,558,demod,546] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),c_fe_qual(C,B),tc_fun(B,tc_bool)).
% 198.08/198.17  ** KEPT (pick-wt=7): 561 [copy,560,demod,546] c_Set_Ocontents(c_fe_qual(A,B),B)=A.
% 198.08/198.17  ---> New Demodulator: 562 [new_demod,561] c_Set_Ocontents(c_fe_qual(A,B),B)=A.
% 198.08/198.17  ** KEPT (pick-wt=8): 564 [copy,563,demod,546] c_Finite__Set_Ofold1(A,c_fe_qual(B,C),C)=B.
% 198.08/198.17  ---> New Demodulator: 565 [new_demod,564] c_Finite__Set_Ofold1(A,c_fe_qual(B,C),C)=B.
% 198.08/198.17  ** KEPT (pick-wt=20): 567 [copy,566,demod,546] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,c_fe_qual(B,A),tc_fun(A,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 198.08/198.17  ---> New Demodulator: 568 [new_demod,567] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,c_fe_qual(B,A),tc_fun(A,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 198.08/198.17  ** KEPT (pick-wt=17): 570 [copy,569,demod,546] hAPP(hAPP(c_Set_Oinsert(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C).
% 198.08/198.18  ---> New Demodulator: 571 [new_demod,570] hAPP(hAPP(c_Set_Oinsert(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C).
% 198.08/198.18  ** KEPT (pick-wt=25): 573 [copy,572,demod,571,469] c_Hoare__Mirabelle_Ohoare__derivs(A,c_fe_qual(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C))).
% 198.08/198.18  ** KEPT (pick-wt=25): 575 [copy,574,demod,571,469] c_Hoare__Mirabelle_Ohoare__derivs(A,c_fe_qual(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C))).
% 198.08/198.18    Following clause subsumed by 368 during input processing: 0 [demod,389] v_P=v_P.
% 198.08/198.18  ** KEPT (pick-wt=11): 577 [copy,576,demod,571,469] c_Hoare__Mirabelle_Ohoare__derivs(A,c_fe_qual(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSKIP,B,C),tc_Hoare__Mirabelle_Otriple(C)),C).
% 198.08/198.18  ** KEPT (pick-wt=13): 579 [copy,578,demod,571] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C),B)).
% 198.08/198.18  ** KEPT (pick-wt=8): 580 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B).
% 198.08/198.18    Following clause subsumed by 368 during input processing: 0 [demod,571,571,457,571] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C).
% 198.08/198.18    Following clause subsumed by 394 during input processing: 0 [demod,571,571,571,571] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(C,A)),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(C,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),D)).
% 198.08/198.18    Following clause subsumed by 455 during input processing: 0 [demod,571,469,571,571,469,571] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),c_fe_qual(C,A))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(C,A)),c_fe_qual(B,A)).
% 198.08/198.18  ** KEPT (pick-wt=11): 582 [copy,581,demod,571,469] c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fe_qual(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 198.08/198.18  ** KEPT (pick-wt=2): 583 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 584 [] class_Lattices_Oupper__semilattice(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 585 [] class_Lattices_Olower__semilattice(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 586 [] class_Lattices_Odistrib__lattice(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 587 [] class_Lattices_Obounded__lattice(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 588 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 589 [] class_Orderings_Opreorder(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 590 [] class_Lattices_Olattice(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 591 [] class_Orderings_Oorder(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 592 [] class_Orderings_Obot(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 593 [] class_HOL_Ominus(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=2): 594 [] class_HOL_Oord(tc_bool).
% 198.08/198.18  ** KEPT (pick-wt=6): 595 [] hBOOL(hAPP(c_fe_qual(A,B),A)).
% 198.08/198.18    Following clause subsumed by 368 during input processing: 0 [copy,368,flip.1] A=A.
% 198.08/198.18  368 back subsumes 360.
% 198.08/198.18  368 back subsumes 355.
% 198.08/198.18  368 back subsumes 346.
% 198.08/198.18  368 back subsumes 345.
% 198.08/198.18  368 back subsumes 335.
% 198.08/198.18  >>>> Starting back demodulation with 370.
% 198.08/198.18  >>>> Starting back demodulation with 373.
% 198.08/198.18  ** KEPT (pick-wt=38): 596 [copy,374,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)),D),C))=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),D)),C).
% 198.08/198.18  >>>> Starting back demodulation with 377.
% 198.08/198.18  >>>> Starting back demodulation with 379.
% 198.08/198.18      >> back demodulating 350 with 379.
% 198.08/198.18      >> back demodulating 349 with 379.
% 198.08/198.18      >> back demodulating 342 with 379.
% 198.08/198.18      >> back demodulating 341 with 379.
% 198.08/198.18      >> back demodulating 339 with 379.
% 198.08/198.18      >> back demodulating 336 with 379.
% 198.08/198.18      >> back demodulating 334 with 379.
% 198.08/198.18  ** KEPT (pick-wt=29): 597 [copy,380,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),B),B,tc_fun(A,tc_bool)).
% 198.08/198.18  >>>> Starting back demodulation with 382.
% 198.08/198.18  >>>> Starting back demodulation with 384.
% 198.08/198.18  ** KEPT (pick-wt=13): 598 [copy,385,flip.1] hAPP(hAPP(A,B),C)=c_COMBC(A,C,B,D,E,F).
% 198.08/198.18  >>>> Starting back demodulation with 387.
% 198.08/198.18  >>>> Starting back demodulation with 389.
% 198.08/198.18  ** KEPT (pick-wt=15): 599 [copy,390,flip.1] hAPP(hAPP(A,B),hAPP(C,B))=c_COMBS(A,C,B,D,E,F).
% 198.08/198.18  >>>> Starting back demodulation with 392.
% 198.08/198.18    Following clause subsumed by 394 during input processing: 0 [copy,394,flip.1] 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)).
% 198.08/198.18  >>>> Starting back demodulation with 396.
% 198.08/198.18  >>>> Starting back demodulation with 399.
% 198.08/198.18    Following clause subsumed by 402 during input processing: 0 [copy,402,flip.1] 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).
% 198.08/198.18  >>>> Starting back demodulation with 406.
% 198.08/198.18    Following clause subsumed by 483 during input processing: 0 [copy,407,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Oimage(c_COMBK(B,A,C),C,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 198.08/198.18  >>>> Starting back demodulation with 411.
% 198.08/198.18  >>>> Starting back demodulation with 413.
% 198.08/198.18      >> back demodulating 56 with 413.
% 198.08/198.18  ** KEPT (pick-wt=28): 600 [copy,414,flip.1] c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(A,B,C),D),hAPP(c_Set_Ovimage(A,B,C),E),tc_fun(B,tc_bool))=hAPP(c_Set_Ovimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool))).
% 198.08/198.18  >>>> Starting back demodulation with 417.
% 198.08/198.18      >> back demodulating 238 with 417.
% 198.08/198.18      >> back demodulating 187 with 417.
% 198.08/198.18      >> back demodulating 184 with 417.
% 198.08/198.18      >> back demodulating 62 with 417.
% 198.08/198.18      >> back demodulating 61 with 417.
% 198.08/198.18      >> back demodulating 23 with 417.
% 198.08/198.18  >>>> Starting back demodulation with 420.
% 198.08/198.18  >>>> Starting back demodulation with 423.
% 198.08/198.18      >> back demodulating 419 with 423.
% 198.08/198.18      >> back demodulating 240 with 423.
% 198.08/198.18  >>>> Starting back demodulation with 425.
% 198.08/198.18  >>>> Starting back demodulation with 427.
% 198.08/198.18      >> back demodulating 405 with 427.
% 198.08/198.18    Following clause subsumed by 428 during input processing: 0 [copy,428,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),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)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 198.08/198.18  >>>> Starting back demodulation with 431.
% 198.08/198.18  >>>> Starting back demodulation with 433.
% 198.08/198.18  >>>> Starting back demodulation with 435.
% 198.08/198.18  >>>> Starting back demodulation with 437.
% 198.08/198.18  >>>> Starting back demodulation with 439.
% 198.08/198.18  >>>> Starting back demodulation with 441.
% 198.08/198.18      >> back demodulating 438 with 441.
% 198.08/198.18  >>>> Starting back demodulation with 443.
% 198.08/198.18  >>>> Starting back demodulation with 447.
% 198.08/198.18  ** KEPT (pick-wt=33): 609 [copy,448,flip.1,demod,571] 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(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_fe_qual(C,E)),D),B,E,tc_fun(A,tc_bool)).
% 198.08/198.18  >>>> Starting back demodulation with 452.
% 198.08/198.18  >>>> Starting back demodulation with 454.
% 198.08/198.18    Following clause subsumed by 455 during input processing: 0 [copy,455,flip.1] 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),B).
% 198.08/198.18  >>>> Starting back demodulation with 457.
% 198.08/198.18  ** KEPT (pick-wt=18): 610 [copy,459,flip.1,demod,511] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 198.08/198.18  ** KEPT (pick-wt=32): 611 [copy,460,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_Set_Ovimage(B,A,C),D)),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E)).
% 198.08/198.18  ** KEPT (pick-wt=32): 612 [copy,463,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(c_Set_Ovimage(B,A,C),D)),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E)).
% 198.08/198.18  ** KEPT (pick-wt=14): 613 [copy,464,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Ovimage(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 198.08/198.18  >>>> Starting back demodulation with 467.
% 198.08/198.18  >>>> Starting back demodulation with 469.
% 198.08/198.18  >>>> Starting back demodulation with 471.
% 198.08/198.18  ** KEPT (pick-wt=11): 614 [copy,472,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 198.08/198.18  >>>> Starting back demodulation with 474.
% 198.08/198.18  >>>> Starting back demodulation with 477.
% 198.08/198.18  >>>> Starting back demodulation with 479.
% 198.08/198.18  480 back subsumes 465.
% 198.08/198.18    Following clause subsumed by 483 during input processing: 0 [copy,481,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Oimage(B,C,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 198.08/198.18  481 back subsumes 407.
% 198.08/198.18    Following clause subsumed by 481 during input processing: 0 [copy,483,flip.1] hAPP(c_Set_Oimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 198.08/198.18  >>>> Starting back demodulation with 486.
% 198.08/198.18  >>>> Starting back demodulation with 488.
% 198.08/198.18  >>>> Starting back demodulation with 496.
% 198.08/198.18  >>>> Starting back demodulation with 499.
% 198.08/198.18  ** KEPT (pick-wt=38): 615 [copy,500,flip.1] 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)),D),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)),B),D)),C).
% 198.08/198.18  >>>> Starting back demodulation with 503.
% 198.08/198.18  >>>> Starting back demodulation with 505.
% 198.08/198.18  ** KEPT (pick-wt=32): 616 [copy,506,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBB(c_Set_Oimage(B,C,D),E,tc_fun(C,tc_bool),tc_fun(D,tc_bool),F),F,tc_fun(D,tc_bool))=hAPP(c_Set_Oimage(B,C,D),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,E,F,tc_fun(C,tc_bool))).
% 198.08/198.18  ** KEPT (pick-wt=32): 617 [copy,507,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBB(c_Set_Ovimage(B,C,D),E,tc_fun(D,tc_bool),tc_fun(C,tc_bool),F),F,tc_fun(C,tc_bool))=hAPP(c_Set_Ovimage(B,C,D),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,E,F,tc_fun(D,tc_bool))).
% 198.08/198.18  >>>> Starting back demodulation with 509.
% 198.08/198.18  >>>> Starting back demodulation with 511.
% 198.08/198.18      >> back demodulating 459 with 511.
% 198.08/198.18      >> back demodulating 357 with 511.
% 198.08/198.18      >> back demodulating 356 with 511.
% 198.08/198.18      >> back demodulating 353 with 511.
% 198.08/198.18      >> back demodulating 352 with 511.
% 198.08/198.18      >> back demodulating 344 with 511.
% 198.08/198.18      >> back demodulating 333 with 511.
% 198.08/198.18  ** KEPT (pick-wt=44): 620 [copy,514,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool)).
% 198.08/198.18  >>>> Starting back demodulation with 517.
% 198.08/198.18      >> back demodulating 436 with 517.
% 198.08/198.18  >>>> Starting back demodulation with 520.
% 198.08/198.18  ** KEPT (pick-wt=35): 623 [copy,521,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,C,D,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),B),E),C,D,tc_fun(A,tc_bool)).
% 198.08/198.18  >>>> Starting back demodulation with 523.
% 198.08/198.18  ** KEPT (pick-wt=32): 624 [copy,524,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_Set_Oimage(B,C,A),D)),hAPP(c_Set_Oimage(B,C,A),E))=hAPP(c_Set_Oimage(B,C,A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E)).
% 198.08/198.18  ** KEPT (pick-wt=33): 625 [copy,527,flip.1,demod,571,571] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(hAPP(B,C),A)),hAPP(c_Set_Oimage(B,D,A),E))=hAPP(c_Set_Oimage(B,D,A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),c_fe_qual(C,D)),E)).
% 198.08/198.18  >>>> Starting back demodulation with 530.
% 198.08/198.18    Following clause subsumed by 394 during input processing: 0 [copy,531,flip.1,demod,571,571] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),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)),c_fe_qual(B,A)),D)).
% 198.08/198.18  >>>> Starting back demodulation with 533.
% 198.08/198.18  ** KEPT (pick-wt=17): 626 [copy,536,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Hoare__Mirabelle_Otriple_Otriple__rec(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F).
% 198.08/198.18  ** KEPT (pick-wt=17): 627 [copy,537,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Hoare__Mirabelle_Otriple_Otriple__case(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F).
% 198.08/198.18  >>>> Starting back demodulation with 540.
% 198.08/198.18  >>>> Starting back demodulation with 543.
% 198.08/198.18  >>>> Starting back demodulation with 546.
% 198.08/198.18      >> back demodulating 526 with 546.
% 198.08/198.18      >> back demodulating 525 with 546.
% 198.08/198.18      >> back demodulating 489 with 546.
% 198.08/198.18      >> back demodulating 485 with 546.
% 198.08/198.18      >> back demodulating 366 with 546.
% 198.08/198.18      >> back demodulating 365 with 546.
% 198.08/198.18      >> back demodulating 364 with 546.
% 198.08/198.18      >> back demodulating 363 with 546.
% 198.08/198.18      >> back demodulating 362 with 546.
% 198.08/198.18      >> back demodulating 361 with 546.
% 198.08/198.18      >> back demodulating 317 with 546.
% 198.08/198.18      >> back demodulating 315 with 546.
% 198.08/198.18      >> back demodulating 312 with 546.
% 198.08/198.18      >> back demodulating 311 with 546.
% 198.08/198.18      >> back demodulating 310 with 546.
% 198.08/198.18      >> back demodulating 309 with 546.
% 198.08/198.18      >> back demodulating 302 with 546.
% 198.08/198.18      >> back demodulating 301 with 546.
% 198.08/198.18      >> back demodulating 300 with 546.
% 198.08/198.18      >> back demodulating 299 with 546.
% 198.08/198.18      >> back demodulating 298 with 546.
% 198.08/198.18      >> back demodulating 297 with 546.
% 198.08/198.18      >> back demodulating 296 with 546.
% 198.08/198.18      >> back demodulating 294 with 546.
% 198.08/198.18      >> back demodulating 292 with 546.
% 198.08/198.18      >> back demodulating 291 with 546.
% 198.08/198.18      >> back demodulating 290 with 546.
% 198.08/198.18      >> back demodulating 289 with 546.
% 198.08/198.18      >> back demodulating 288 with 546.
% 198.08/198.18      >> back demodulating 287 with 546.
% 198.08/198.18      >> back demodulating 286 with 546.
% 198.08/198.18      >> back demodulating 285 with 546.
% 198.08/198.18      >> back demodulating 284 with 546.
% 198.08/198.18      >> back demodulating 283 with 546.
% 198.08/198.18      >> back demodulating 282 with 546.
% 198.08/198.18      >> back demodulating 279 with 546.
% 198.08/198.18      >> back demodulating 278 with 546.
% 198.08/198.18      >> back demodulating 262 with 546.
% 198.08/198.18      >> back demodulating 260 with 546.
% 198.08/198.18      >> back demodulating 259 with 546.
% 198.08/198.18      >> back demodulating 258 with 546.
% 198.08/198.18      >> back demodulating 193 with 546.
% 198.08/198.18      >> back demodulating 192 with 546.
% 198.08/198.18      >> back demodulating 160 with 546.
% 198.08/198.18      >> back demodulating 25 with 546.
% 198.08/198.18      >> back demodulating 16 with 546.
% 198.08/198.18      >> back demodulating 12 with 546.
% 198.08/198.18      >> back demodulating 11 with 546.
% 198.08/198.18  >>>> Starting back demodulation with 553.
% 198.08/198.18  ** KEPT (pick-wt=29): 671 [copy,557,flip.1,demod,571] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fe_qual(B,C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(B,C)),D),tc_fun(C,tc_bool)).
% 198.08/198.18  ** KEPT (pick-wt=29): 672 [copy,559,flip.1,demod,571] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_fe_qual(D,C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(D,C)),B),tc_fun(C,tc_bool)).
% 198.08/198.18  >>>> Starting back demodulation with 562.
% 198.08/198.18  >>>> Starting back demodulation with 565.
% 198.08/198.18  >>>> Starting back demodulation with 568.
% 198.08/198.18  >>>> Starting back demodulation with 571.
% 198.08/198.18      >> back demodulating 567 with 571.
% 198.08/198.18      >> back demodulating 559 with 571.
% 198.08/198.18      >> back demodulating 557 with 571.
% 198.08/198.18      >> back demodulating 552 with 571.
% 198.08/198.18      >> back demodulating 545 with 571.
% 198.08/198.18      >> back demodulating 534 with 571.
% 198.08/198.18      >> back demodulating 532 with 571.
% 198.08/198.18      >> back demodulating 531 with 571.
% 198.08/198.18      >> back demodulating 529 with 571.
% 198.08/198.18      >> back demodulating 528 with 571.
% 198.08/198.18      >> back demodulating 527 with 571.
% 198.08/198.18      >> back demodulating 491 with 571.
% 198.08/198.18      >> back demodulating 462 with 571.
% 198.08/198.18      >> back demodulating 448 with 571.
% 198.08/198.18      >> back demodulating 409 with 571.
% 198.08/198.18      >> back demodulating 408 with 571.
% 198.08/198.18      >> back demodulating 316 with 571.
% 198.08/198.18      >> back demodulating 314 with 571.
% 198.08/198.18      >> back demodulating 305 with 571.
% 198.08/198.18      >> back demodulating 274 with 571.
% 198.08/198.18      >> back demodulating 273 with 571.
% 198.08/198.18      >> back demodulating 272 with 571.
% 198.08/198.18      >> back demodulating 271 with 571.
% 198.08/198.18      >> back demodulating 270 with 571.
% 198.08/198.18      >> back demodulating 269 with 571.
% 198.08/198.18      >> back demodulating 268 with 571.
% 198.08/198.18      >> back demodulating 267 with 571.
% 198.08/198.18      >> back demodulating 266 with 571.
% 198.08/198.18      >> back demodulating 265 with 571.
% 198.08/198.18      >> back demodulating 264 with 571.
% 198.08/198.18      >> back demodulating 263 with 571.
% 198.08/198.18      >> back demodulating 210 with 571.
% 198.08/198.18      >> back demodulating 209 with 571.
% 198.08/198.18      >> back demodulating 205 with 571.
% 198.08/198.18      >> back demodulating 138 with 571.
% 198.08/198.18      >> back demodulating 137 with 571.
% 198.08/198.18      >> back demodulating 77 with 571.
% 198.08/198.18      >> back demodulating 72 with 571.
% 198.08/198.18      >> back demodulating 68 with 571.
% 198.08/198.18      >> back demodulating 66 with 571.
% 198.08/198.18      >> back demodulating 64 with 571.
% 198.08/198.18      >> back demodulating 8 with 571.
% 198.08/198.18      >> back demodulating 7 with 571.
% 198.08/198.18      >> back demodulating 4 with 571.
% 198.08/198.18    Following clause subsumed by 374 during input processing: 0 [copy,596,flip.1] 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)).
% 198.08/198.18    Following clause subsumed by 380 during input processing: 0 [copy,597,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.18    Following clause subsumed by 385 during input processing: 0 [copy,598,flip.1] c_COMBC(A,B,C,D,E,F)=hAPP(hAPP(A,C),B).
% 198.08/198.18  598 back subsumes 542.
% 198.08/198.18    Following clause subsumed by 390 during input processing: 0 [copy,599,flip.1] c_COMBS(A,B,C,D,E,F)=hAPP(hAPP(A,C),hAPP(B,C)).
% 198.08/198.18  599 back subsumes 539.
% 198.08/198.18    Following clause subsumed by 414 during input processing: 0 [copy,600,flip.1] hAPP(c_Set_Ovimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(A,B,C),D),hAPP(c_Set_Ovimage(A,B,C),E),tc_fun(B,tc_bool)).
% 198.08/198.19  >>>> Starting back demodulation with 606.
% 198.08/198.19  >>>> Starting back demodulation with 608.
% 198.08/198.19    Following clause subsumed by 679 during input processing: 0 [copy,609,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),hAPP(D,B)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 198.08/198.19    Following clause subsumed by 618 during input processing: 0 [copy,610,flip.1] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 198.08/198.19    Following clause subsumed by 460 during input processing: 0 [copy,611,flip.1] hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 198.08/198.19    Following clause subsumed by 463 during input processing: 0 [copy,612,flip.1] hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 198.08/198.19    Following clause subsumed by 464 during input processing: 0 [copy,613,flip.1] hAPP(c_Set_Ovimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.19    Following clause subsumed by 472 during input processing: 0 [copy,614,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 198.08/198.19    Following clause subsumed by 500 during input processing: 0 [copy,615,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)),D)=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),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 198.08/198.19    Following clause subsumed by 506 during input processing: 0 [copy,616,flip.1] hAPP(c_Set_Oimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(B,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Oimage(A,B,C),E,tc_fun(B,tc_bool),tc_fun(C,tc_bool),F),F,tc_fun(C,tc_bool)).
% 198.08/198.19    Following clause subsumed by 507 during input processing: 0 [copy,617,flip.1] hAPP(c_Set_Ovimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(C,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Ovimage(A,B,C),E,tc_fun(C,tc_bool),tc_fun(B,tc_bool),F),F,tc_fun(B,tc_bool)).
% 198.08/198.19    Following clause subsumed by 610 during input processing: 0 [copy,618,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 198.08/198.19    Following clause subsumed by 514 during input processing: 0 [copy,620,flip.1] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 198.08/198.19  >>>> Starting back demodulation with 622.
% 198.08/198.19    Following clause subsumed by 521 during input processing: 0 [copy,623,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 199.37/199.43    Following clause subsumed by 524 during input processing: 0 [copy,624,flip.1] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E)).
% 199.37/199.43    Following clause subsumed by 676 during input processing: 0 [copy,625,flip.1] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_fe_qual(D,B)),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(hAPP(A,D),C)),hAPP(c_Set_Oimage(A,B,C),E)).
% 199.37/199.43    Following clause subsumed by 536 during input processing: 0 [copy,626,flip.1] c_Hoare__Mirabelle_Otriple_Otriple__rec(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 199.37/199.43    Following clause subsumed by 537 during input processing: 0 [copy,627,flip.1] c_Hoare__Mirabelle_Otriple_Otriple__case(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 199.37/199.43    Following clause subsumed by 674 during input processing: 0 [copy,671,flip.1] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_fe_qual(C,B)),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fe_qual(C,B),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 199.37/199.43    Following clause subsumed by 673 during input processing: 0 [copy,672,flip.1] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_fe_qual(C,B)),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),c_fe_qual(C,B),tc_fun(B,tc_bool)).
% 199.37/199.43    Following clause subsumed by 672 during input processing: 0 [copy,673,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_fe_qual(D,C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(D,C)),B),tc_fun(C,tc_bool)).
% 199.37/199.43    Following clause subsumed by 671 during input processing: 0 [copy,674,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fe_qual(B,C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(B,C)),D),tc_fun(C,tc_bool)).
% 199.37/199.43    Following clause subsumed by 625 during input processing: 0 [copy,676,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(hAPP(B,C),A)),hAPP(c_Set_Oimage(B,D,A),E))=hAPP(c_Set_Oimage(B,D,A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),c_fe_qual(C,D)),E)).
% 199.37/199.43    Following clause subsumed by 609 during input processing: 0 [copy,679,flip.1] 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(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_fe_qual(C,E)),D),B,E,tc_fun(A,tc_bool)).
% 199.37/199.43  ** KEPT (pick-wt=15): 704 [copy,683,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C).
% 199.37/199.43    Following clause subsumed by 683 during input processing: 0 [copy,704,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 199.37/199.43  
% 199.37/199.43  ======= end of input processing =======
% 199.37/199.43  
% 199.37/199.43  =========== start of search ===========
% 199.37/199.43  
% 199.37/199.43  
% 199.37/199.43  Resetting weight limit to 2.
% 199.37/199.43  
% 199.37/199.43  
% 199.37/199.43  Resetting weight limit to 2.
% 199.37/199.43  
% 199.37/199.43  sos_size=212
% 199.37/199.43  
% 199.37/199.43  Search stopped in tp_alloc by max_mem option.
% 199.37/199.43  
% 199.37/199.43  Search stopped in tp_alloc by max_mem option.
% 199.37/199.43  
% 199.37/199.43  ============ end of search ============
% 199.37/199.43  
% 199.37/199.43  -------------- statistics -------------
% 199.37/199.43  clauses given                186
% 199.37/199.43  clauses generated         111088
% 199.37/199.43  clauses kept                 603
% 199.37/199.43  clauses forward subsumed     150
% 199.37/199.43  clauses back subsumed         14
% 199.37/199.43  Kbytes malloced            11718
% 199.37/199.43  
% 199.37/199.43  ----------- times (seconds) -----------
% 199.37/199.43  user CPU time          1.33          (0 hr, 0 min, 1 sec)
% 199.37/199.43  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 199.37/199.43  wall-clock time      199             (0 hr, 3 min, 19 sec)
% 199.37/199.43  
% 199.37/199.43  Process 1562 finished Wed Jul 27 05:43:26 2022
% 199.37/199.44  Otter interrupted
% 199.37/199.44  PROOF NOT FOUND
%------------------------------------------------------------------------------