TSTP Solution File: SWV860-1 by Otter---3.3

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV860-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n013.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 13:21:41 EDT 2022

% Result   : Unknown 118.29s 118.38s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV860-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 06:14:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 118.00/118.10  ----- Otter 3.3f, August 2004 -----
% 118.00/118.10  The process was started by sandbox2 on n013.cluster.edu,
% 118.00/118.10  Wed Jul 27 06:14:15 2022
% 118.00/118.10  The command was "./otter".  The process ID is 17096.
% 118.00/118.10  
% 118.00/118.10  set(prolog_style_variables).
% 118.00/118.10  set(auto).
% 118.00/118.10     dependent: set(auto1).
% 118.00/118.10     dependent: set(process_input).
% 118.00/118.10     dependent: clear(print_kept).
% 118.00/118.10     dependent: clear(print_new_demod).
% 118.00/118.10     dependent: clear(print_back_demod).
% 118.00/118.10     dependent: clear(print_back_sub).
% 118.00/118.10     dependent: set(control_memory).
% 118.00/118.10     dependent: assign(max_mem, 12000).
% 118.00/118.10     dependent: assign(pick_given_ratio, 4).
% 118.00/118.10     dependent: assign(stats_level, 1).
% 118.00/118.10     dependent: assign(max_seconds, 10800).
% 118.00/118.10  clear(print_given).
% 118.00/118.10  
% 118.00/118.10  list(usable).
% 118.00/118.10  0 [] A=A.
% 118.00/118.10  0 [] c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a).
% 118.00/118.10  0 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_s)|hBOOL(hAPP(V_b,V_s)).
% 118.00/118.10  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 118.00/118.10  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oimage(V_f,V_A,T_b,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 118.00/118.10  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).
% 118.00/118.10  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 118.00/118.10  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 118.00/118.10  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).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a)=hAPP(hAPP(hAPP(hAPP(V_f4,V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)).
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_vname=V_vname_H.
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_pname=V_pname_H.
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_fun=V_fun_H.
% 118.00/118.10  0 [] c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a)=hAPP(hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)).
% 118.00/118.10  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OBODY(V_pname).
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 118.00/118.10  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(hAPP(hAPP(c_in(T_a),V_i),V_A)).
% 118.00/118.10  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 118.00/118.10  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 118.00/118.10  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 118.00/118.10  0 [] V_b=V_a| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=V_A.
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 118.00/118.10  0 [] c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_c),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).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f.
% 118.00/118.10  0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g.
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 118.00/118.10  0 [] c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)|hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 118.00/118.10  0 [] c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a)=hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun).
% 118.00/118.10  0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a)=c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 118.00/118.10  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.
% 118.00/118.10  0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 118.00/118.10  0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 118.00/118.10  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,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,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 118.00/118.10  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)).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a)=hAPP(hAPP(V_f2,V_vname),V_fun).
% 118.00/118.10  0 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_s2)| -c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_s2)| -c_Natural_Oevalc(V_c,V_s0,V_s1)| -hBOOL(hAPP(V_b,V_s0)).
% 118.00/118.10  0 [] c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 118.00/118.10  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.
% 118.00/118.10  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.
% 118.00/118.10  0 [] c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)| -c_Natural_Oevalc(V_c0,V_s,V_s1)| -hBOOL(hAPP(V_b,V_s)).
% 118.00/118.10  0 [] -hBOOL(hAPP(V_b,V_s))|c_Natural_Oevalc(V_c1,V_s,V_t)| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t).
% 118.00/118.10  0 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2)| -c_Natural_Oevalc(V_c1,V_s1,V_s2)| -c_Natural_Oevalc(V_c0,V_s0,V_s1).
% 118.00/118.10  0 [] c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)).
% 118.00/118.10  0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 118.00/118.10  0 [] c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))| -c_Com_OWT(c_Com_Ocom_OBODY(V_pn)).
% 118.00/118.10  0 [] c_Com_OWT(c_Com_Ocom_OBODY(V_P))| -c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 118.00/118.10  0 [] c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a).
% 118.00/118.10  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 118.00/118.10  0 [] c_Collect(V_P,T_a)=V_P.
% 118.00/118.10  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OBODY(V_pname_H).
% 118.00/118.10  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 118.00/118.10  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 118.00/118.10  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 118.00/118.10  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 118.00/118.10  0 [] c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 118.00/118.10  0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Set_Oinsert(V_x,V_A,T_a).
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 118.00/118.10  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 118.00/118.10  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(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 118.00/118.10  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 118.00/118.10  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 118.00/118.10  0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B.
% 118.00/118.10  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 118.00/118.10  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 118.00/118.10  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)).
% 118.00/118.10  0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 118.00/118.10  0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 118.00/118.10  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.
% 118.00/118.10  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.
% 118.00/118.10  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.
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 118.00/118.10  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.
% 118.00/118.10  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)).
% 118.00/118.10  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)).
% 118.00/118.10  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).
% 118.00/118.10  0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 118.00/118.10  0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 118.00/118.10  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 118.00/118.10  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 118.00/118.10  0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 118.00/118.10  0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 118.00/118.10  0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 118.00/118.10  0 [] c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 118.00/118.10  0 [] c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 118.00/118.10  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 118.00/118.10  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 118.00/118.10  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(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 118.00/118.10  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 118.00/118.10  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 118.00/118.10  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)).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 118.00/118.10  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 118.00/118.10  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a).
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 118.00/118.10  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 118.00/118.10  0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 118.00/118.10  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 118.00/118.10  0 [] V_m=V_n| -c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 118.00/118.10  0 [] V_u=V_t| -c_Natural_Oevalc(V_c,V_s,V_u)| -c_Natural_Oevalc(V_c,V_s,V_t).
% 118.00/118.10  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).
% 118.00/118.10  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).
% 118.00/118.10  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).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_a=V_c.
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_a=V_c.
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_b=V_d.
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_b=V_d.
% 118.00/118.10  0 [] c_Natural_Oevalc(V_c2,V_s,V_t)|hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t).
% 118.00/118.10  0 [] c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)| -c_Natural_Oevalc(V_c1,V_s,V_s1)|hBOOL(hAPP(V_b,V_s)).
% 118.00/118.10  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun1=V_fun1_H.
% 118.00/118.10  0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_com=V_com_H.
% 118.00/118.10  0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun2=V_fun2_H.
% 118.00/118.10  0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 118.00/118.10  0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 118.00/118.10  0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,V_A,T_a).
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)!=c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_a=V_b.
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)).
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 118.00/118.10  0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 118.00/118.10  0 [] -c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 118.00/118.10  0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 118.00/118.10  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 118.00/118.10  0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 118.00/118.10  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 118.00/118.10  0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,V_v).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 118.00/118.10  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).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 118.00/118.10  0 [] c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a)=V_A.
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a)=hAPP(hAPP(V_f4,V_com1),V_com2).
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 118.00/118.10  0 [] c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b)=c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c).
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,V_B,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a),V_B,tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 118.00/118.10  0 [] c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a)=V_Y.
% 118.00/118.10  0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 118.00/118.10  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 118.00/118.10  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 118.00/118.10  0 [] c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))| -c_Com_OWT(V_c).
% 118.00/118.10  0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a)=hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun).
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,V_A,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_n),tc_nat).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 118.00/118.10  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,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_c)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 118.00/118.10  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a).
% 118.00/118.10  0 [] c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))| -c_Com_OWT(V_c).
% 118.00/118.10  0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OBODY(V_pname),T_a)=hAPP(V_f7,V_pname).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 118.00/118.10  0 [] V_m=c_Suc(V_n)|c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(V_m,c_Suc(V_n),tc_nat).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)))| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a)=hAPP(hAPP(V_f2,V_vname),V_fun).
% 118.00/118.10  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 118.00/118.10  0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 118.00/118.10  0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 118.00/118.10  0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 118.00/118.10  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a)=hAPP(hAPP(hAPP(V_f6,V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)).
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=V_A|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x.
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a)=hAPP(hAPP(hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)).
% 118.00/118.10  0 [] c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a)))| -hBOOL(hAPP(hAPP(V_less,V_i),V_u))| -hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a)))| -hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))|V_a=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(V_P,V_x)).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(V_Q,V_xf))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xf),V_A))| -hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,V_xg))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xg),V_A))| -hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a)),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 118.00/118.10  0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 118.00/118.10  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 118.00/118.10  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a)=hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a)=hAPP(hAPP(V_f6,V_fun),V_com).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 118.00/118.10  0 [] c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)=c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a).
% 118.00/118.10  0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x)=hAPP(V_g,hAPP(V_f,V_x)).
% 118.00/118.10  0 [] hAPP(V_f,V_a)=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b))).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 118.00/118.10  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).
% 118.00/118.10  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_fun=V_fun_H.
% 118.00/118.10  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_vname=V_vname_H.
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 118.00/118.10  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 118.00/118.10  0 [] c_lesse_quals(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 118.00/118.10  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 118.00/118.10  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 118.00/118.10  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 118.00/118.10  0 [] -c_lesse_quals(c_Suc(V_n),V_n,tc_nat).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_com=V_com_H.
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_fun=V_fun_H.
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_loc=V_loc_H.
% 118.00/118.10  0 [] c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 118.00/118.10  0 [] c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b)=V_f.
% 118.00/118.10  0 [] c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b)=V_g.
% 118.00/118.10  0 [] c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a).
% 118.00/118.10  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 118.00/118.10  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).
% 118.00/118.10  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).
% 118.00/118.10  0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_t).
% 118.00/118.10  0 [] c_Suc(V_n)!=V_n.
% 118.00/118.10  0 [] V_n!=c_Suc(V_n).
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 118.00/118.10  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 118.00/118.10  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 118.00/118.10  0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 118.00/118.10  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).
% 118.00/118.10  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).
% 118.00/118.10  0 [] c_lesse_quals(V_n,V_n,tc_nat).
% 118.00/118.10  0 [] c_lesse_quals(V_i,V_k,tc_nat)| -c_lesse_quals(V_j,V_k,tc_nat)| -c_lesse_quals(V_i,V_j,tc_nat).
% 118.00/118.10  0 [] c_lesse_quals(V_x,V_x,tc_nat).
% 118.00/118.10  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 118.00/118.10  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 118.00/118.10  0 [] c_Set_Oimage(V_f,V_A,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OBODY(V_pname),T_a)=hAPP(V_f7,V_pname).
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(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)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 118.00/118.10  0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a)=hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2).
% 118.00/118.10  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  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)).
% 118.00/118.10  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).
% 118.00/118.10  0 [] c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(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)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] hBOOL(hAPP(V_A,hAPP(V_f,V_x)))| -hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)).
% 118.00/118.10  0 [] hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))| -hBOOL(hAPP(V_A,hAPP(V_f,V_x))).
% 118.00/118.10  0 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 118.00/118.10  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).
% 118.00/118.10  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).
% 118.00/118.10  0 [] c_Collect(hAPP(c_fe_qual(T_a),V_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 118.00/118.10  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 118.00/118.10  0 [] c_Natural_Oevalc(V_c2,V_s,V_t)|c_Natural_Oevalc(V_c1,V_s,V_t)| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t).
% 118.00/118.10  0 [] c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a)=V_A.
% 118.00/118.10  0 [] c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat).
% 118.00/118.10  0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat).
% 118.00/118.10  0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 118.00/118.10  0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 118.00/118.10  0 [] c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b)=c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b).
% 118.00/118.10  0 [] c_lesse_quals(V_n,V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 118.00/118.10  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 118.00/118.10  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 118.00/118.10  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 118.00/118.10  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(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 118.00/118.10  0 [] hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R)!=hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S)|V_R=V_S.
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a)))| -hBOOL(hAPP(V_P,V_a)).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__e_q,V_k,T_a)))| -hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_k)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_k))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__e_q,V_k,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(V_Q,V_xd))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xd),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,V_xe))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xe),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a))).
% 118.00/118.10  0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_A=V_B.
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(V_P,V_x)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a)))| -hBOOL(hAPP(hAPP(V_less,V_k),V_i)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(V_less,V_k),V_i))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),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).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),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).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)),V_A))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a)))| -hBOOL(hAPP(hAPP(V_less,V_i),V_k)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(V_less,V_i),V_k))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c))| -hBOOL(hAPP(hAPP(hAPP(V_B,V_x),V_b),V_c))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c))| -hBOOL(hAPP(hAPP(hAPP(V_B,V_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 118.00/118.10  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(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(V_less,V_i),V_u))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)),V_A))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))).
% 118.00/118.10  0 [] -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 118.00/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 118.00/118.10  0 [] hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(V_R,V_S,tc_fun(t_a,tc_bool))).
% 118.00/118.10  0 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))).
% 118.00/118.10  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)).
% 118.00/118.10  0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x.
% 118.00/118.10  0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x)=hAPP(V_g,hAPP(V_f,v_x)).
% 118.00/118.10  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 118.00/118.10  0 [] c_Com_Ocom_OAss(V_vname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 118.00/118.10  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 118.00/118.10  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 118.00/118.10  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 118.00/118.10  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 118.00/118.10  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OAss(V_vname_H,V_fun_H).
% 118.00/118.10  0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 118.00/118.10  0 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s).
% 118.00/118.10  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 118.00/118.10  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a)=V_f1.
% 118.00/118.10  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 118.00/118.10  0 [] c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a)=V_f1.
% 118.00/118.10  0 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 118.00/118.10  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 118.00/118.10  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 118.00/118.10  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 118.00/118.10  0 [] V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t).
% 118.00/118.10  0 [] c_Natural_Oevaln(V_c2,V_s,V_n,V_t)|c_Natural_Oevaln(V_c1,V_s,V_n,V_t)| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t).
% 118.00/118.10  0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 118.00/118.10  0 [] c_Natural_Oevaln(V_c,V_s,V_m,V_t)| -c_lesse_quals(V_n,V_m,tc_nat)| -c_Natural_Oevaln(V_c,V_s,V_n,V_t).
% 118.00/118.10  0 [] c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)| -c_Natural_Oevaln(V_c1,V_s,V_n,V_s1)|hBOOL(hAPP(V_b,V_s)).
% 118.00/118.10  0 [] c_Natural_Oevaln(V_c2,V_s,V_n,V_t)|hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t).
% 118.00/118.10  0 [] c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H)| -c_Natural_Oevaln(V_c,V_s,V_n,V_s_H).
% 118.00/118.10  0 [] c_Natural_Oevaln(V_c2,V_s2,c_Natural_Osko__Natural__Xevaln__max2__1__1(V_c1,V_c2,V_s1,V_s2,V_t1,V_t2),V_t2)| -c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2)| -c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1).
% 118.00/118.10  0 [] c_Natural_Oevaln(V_c1,V_s1,c_Natural_Osko__Natural__Xevaln__max2__1__1(V_c1,V_c2,V_s1,V_s2,V_t1,V_t2),V_t1)| -c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2)| -c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1).
% 118.00/118.10  0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s)|hBOOL(hAPP(V_b,V_s)).
% 118.00/118.10  0 [] c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)| -c_Natural_Oevaln(V_c0,V_s,V_n,V_s1)| -hBOOL(hAPP(V_b,V_s)).
% 118.00/118.10  0 [] -hBOOL(hAPP(V_b,V_s))|c_Natural_Oevaln(V_c1,V_s,V_n,V_t)| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t).
% 118.00/118.10  0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2)| -c_Natural_Oevaln(V_c,V_s0,V_n,V_s1)| -hBOOL(hAPP(V_b,V_s0)).
% 118.00/118.10  0 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2)| -c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)| -c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1).
% 118.00/118.10  0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_n,V_t).
% 118.00/118.10  0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_x,V_t).
% 118.00/118.10  0 [] hAPP(c_COMBI(t_a),v_P)=v_P.
% 118.00/118.10  0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_t,T_a)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),V_t,T_a).
% 118.00/118.10  0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_na,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_na),V_ts))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n)),V_G))| -c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a).
% 118.00/118.10  0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_xa,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xa),V_ts))| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts),t_a).
% 118.00/118.10  0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a)|c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(V_G,V_ts),V_x,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_G)).
% 118.00/118.10  0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_nb,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),V_ts))| -c_Hoare__Mirabelle_Otriple__valid(V_n,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n),t_a)| -c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a).
% 118.07/118.10  0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))).
% 118.07/118.10  0 [] hBOOL(hAPP(hAPP(V_Q,V_Z),V_s_H))| -c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)| -hBOOL(hAPP(hAPP(V_P,V_Z),V_s))| -c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),t_a).
% 118.07/118.10  0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_x,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_ts))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts)),V_ts)).
% 118.07/118.10  0 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s).
% 118.07/118.10  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| -hBOOL(hAPP(V_S,V_x)).
% 118.07/118.10  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)).
% 118.07/118.10  0 [] V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t).
% 118.07/118.10  0 [] hBOOL(hAPP(hAPP(v_P,v_x),v_xa)).
% 118.07/118.10  0 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb).
% 118.07/118.10  0 [] -hBOOL(hAPP(hAPP(v_P,v_x),v_xb)).
% 118.07/118.10  0 [] c_Hoare__Mirabelle_Otriple__valid(v_n,V_x,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),v_Ga)).
% 118.07/118.10  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 118.07/118.10  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 118.07/118.10  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 118.07/118.10  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 118.07/118.10  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 118.07/118.10  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 118.07/118.10  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 118.07/118.10  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 118.07/118.10  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 118.07/118.10  0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 118.07/118.10  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 118.07/118.10  0 [] class_Lattices_Olower__semilattice(tc_nat).
% 118.07/118.10  0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 118.07/118.10  0 [] class_Orderings_Opreorder(tc_nat).
% 118.07/118.10  0 [] class_Orderings_Olinorder(tc_nat).
% 118.07/118.10  0 [] class_Lattices_Olattice(tc_nat).
% 118.07/118.10  0 [] class_Orderings_Oorder(tc_nat).
% 118.07/118.10  0 [] class_Orderings_Obot(tc_nat).
% 118.07/118.10  0 [] class_HOL_Ominus(tc_nat).
% 118.07/118.10  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 118.07/118.10  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 118.07/118.10  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 118.07/118.10  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 118.07/118.10  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 118.07/118.10  0 [] class_Orderings_Opreorder(tc_bool).
% 118.07/118.10  0 [] class_Lattices_Olattice(tc_bool).
% 118.07/118.10  0 [] class_Orderings_Oorder(tc_bool).
% 118.07/118.10  0 [] class_Orderings_Obot(tc_bool).
% 118.07/118.10  0 [] class_HOL_Ominus(tc_bool).
% 118.07/118.10  0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 118.07/118.10  0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 118.07/118.10  end_of_list.
% 118.07/118.10  
% 118.07/118.10  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 118.07/118.10  
% 118.07/118.10  This ia a non-Horn set with equality.  The strategy will be
% 118.07/118.10  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 118.07/118.10  deletion, with positive clauses in sos and nonpositive
% 118.07/118.10  clauses in usable.
% 118.07/118.10  
% 118.07/118.10     dependent: set(knuth_bendix).
% 118.07/118.10     dependent: set(anl_eq).
% 118.07/118.10     dependent: set(para_from).
% 118.07/118.10     dependent: set(para_into).
% 118.07/118.10     dependent: clear(para_from_right).
% 118.07/118.10     dependent: clear(para_into_right).
% 118.07/118.10     dependent: set(para_from_vars).
% 118.07/118.10     dependent: set(eq_units_both_ways).
% 118.07/118.10     dependent: set(dynamic_demod_all).
% 118.07/118.10     dependent: set(dynamic_demod).
% 118.07/118.10     dependent: set(order_eq).
% 118.07/118.10     dependent: set(back_demod).
% 118.07/118.10     dependent: set(lrpo).
% 118.07/118.10     dependent: set(hyper_res).
% 118.07/118.10     dependent: set(unit_deletion).
% 118.07/118.10     dependent: set(factor).
% 118.07/118.10  
% 118.07/118.10  ------------> process usable:
% 118.07/118.10  ** KEPT (pick-wt=8): 1 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 118.07/118.10  ** KEPT (pick-wt=16): 2 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oimage(B,C,D,A)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 118.07/118.10  ** KEPT (pick-wt=15): 3 [] 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).
% 118.07/118.10  ** KEPT (pick-wt=7): 4 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D).
% 118.07/118.10  ** KEPT (pick-wt=6): 5 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 118.07/118.10  ** KEPT (pick-wt=11): 6 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 118.07/118.10  ** KEPT (pick-wt=12): 7 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|A=D.
% 118.07/118.10  ** KEPT (pick-wt=12): 8 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|B=E.
% 118.07/118.10  ** KEPT (pick-wt=12): 9 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|C=F.
% 118.07/118.10  ** KEPT (pick-wt=7): 10 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 118.07/118.10  ** KEPT (pick-wt=7): 11 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OBODY(D).
% 118.07/118.10  ** KEPT (pick-wt=9): 12 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 118.07/118.10  ** KEPT (pick-wt=23): 13 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),A),D)).
% 118.07/118.10  ** KEPT (pick-wt=19): 14 [] -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(hAPP(hAPP(c_in(E),C),D)).
% 118.07/118.10  ** KEPT (pick-wt=9): 15 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 118.07/118.10  ** KEPT (pick-wt=13): 16 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D).
% 118.07/118.10  ** KEPT (pick-wt=6): 17 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 118.07/118.10  ** KEPT (pick-wt=16): 18 [] A=B| -hBOOL(hAPP(hAPP(c_in(C),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))).
% 118.07/118.10  ** KEPT (pick-wt=19): 19 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool))=A.
% 118.07/118.10  ** KEPT (pick-wt=19): 20 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 118.07/118.10  ** KEPT (pick-wt=19): 21 [] c_Fun_Oinj__on(A,c_Set_Oimage(B,C,D,E),E,F)| -c_Fun_Oinj__on(c_Fun_Ocomp(A,B,E,F,D),C,D,F).
% 118.07/118.10  ** KEPT (pick-wt=20): 23 [copy,22,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 118.07/118.10  ** KEPT (pick-wt=20): 25 [copy,24,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 118.07/118.10  ** KEPT (pick-wt=18): 26 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Lattices_Olower__semilattice__class_Oinf(D,c_Collect(A,C),tc_fun(C,tc_bool)))).
% 118.07/118.10  ** KEPT (pick-wt=8): 27 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 118.07/118.10  ** KEPT (pick-wt=8): 28 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 118.07/118.10  ** KEPT (pick-wt=37): 29 [] c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E)|hBOOL(hAPP(hAPP(c_in(E),hAPP(A,B)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E)))| -c_Fun_Oinj__on(A,C,D,E).
% 118.07/118.10  ** KEPT (pick-wt=6): 30 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 118.07/118.10  ** KEPT (pick-wt=49): 31 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,B,tc_fun(D,tc_bool)),D,E),tc_fun(E,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,C,D,E)| -c_Fun_Oinj__on(A,B,D,E)|c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E).
% 118.07/118.10  ** KEPT (pick-wt=39): 32 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,B,tc_fun(D,tc_bool)),D,E),tc_fun(E,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E).
% 118.07/118.11  ** KEPT (pick-wt=20): 33 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),C,D)| -c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),E,D)| -c_Natural_Oevalc(B,C,E)| -hBOOL(hAPP(A,C)).
% 118.07/118.11  ** KEPT (pick-wt=14): 34 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 118.07/118.11  ** KEPT (pick-wt=14): 35 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 118.07/118.11  ** KEPT (pick-wt=15): 36 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(B,D,E)| -hBOOL(hAPP(A,D)).
% 118.07/118.11  ** KEPT (pick-wt=15): 37 [] -hBOOL(hAPP(A,B))|c_Natural_Oevalc(C,B,D)| -c_Natural_Oevalc(c_Com_Ocom_OCond(A,C,E),B,D).
% 118.07/118.11  ** KEPT (pick-wt=14): 38 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B),C,D)| -c_Natural_Oevalc(B,E,D)| -c_Natural_Oevalc(A,C,E).
% 118.07/118.11  ** KEPT (pick-wt=17): 39 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=17): 40 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=17): 41 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=17): 42 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=12): 43 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=12): 44 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=12): 45 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 118.07/118.11  ** KEPT (pick-wt=8): 46 [] c_Com_OWT(c_Com_Ocom_OCall(A,B,C))| -c_Com_OWT(c_Com_Ocom_OBODY(B)).
% 118.07/118.11  ** KEPT (pick-wt=8): 47 [] c_Com_OWT(c_Com_Ocom_OBODY(A))| -c_Com_OWT(c_Com_Ocom_OCall(B,A,C)).
% 118.07/118.11  ** KEPT (pick-wt=17): 48 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 118.07/118.11  ** KEPT (pick-wt=9): 49 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 118.07/118.11  ** KEPT (pick-wt=9): 50 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 118.07/118.11    Following clause subsumed by 48 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 118.07/118.11    Following clause subsumed by 48 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 118.07/118.11  ** KEPT (pick-wt=9): 51 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 118.07/118.11  ** KEPT (pick-wt=9): 52 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 118.07/118.11  ** KEPT (pick-wt=11): 53 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 118.07/118.11  ** KEPT (pick-wt=11): 54 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 118.07/118.11  ** KEPT (pick-wt=28): 55 [] c_Complete__Lattice_Ocomplete__lattice(A,B,c_COMBC(C,D,D,tc_bool),c_COMBC(E,D,D,tc_bool),F,G,H,I,D)| -c_Complete__Lattice_Ocomplete__lattice(B,A,C,E,G,F,I,H,D).
% 118.07/118.11  ** KEPT (pick-wt=21): 56 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A),A).
% 118.07/118.11  ** KEPT (pick-wt=8): 57 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 118.07/118.11  ** KEPT (pick-wt=6): 58 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C).
% 118.07/118.11  ** KEPT (pick-wt=7): 59 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 118.07/118.11  ** KEPT (pick-wt=10): 60 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 118.07/118.11  ** KEPT (pick-wt=10): 61 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 118.07/118.11  ** KEPT (pick-wt=7): 62 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 118.07/118.11  ** KEPT (pick-wt=8): 63 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 118.07/118.11  ** KEPT (pick-wt=9): 64 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.11  ** KEPT (pick-wt=8): 65 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 118.07/118.11  ** KEPT (pick-wt=8): 66 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 118.07/118.11  ** KEPT (pick-wt=14): 67 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 118.07/118.11  ** KEPT (pick-wt=27): 68 [] 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(hAPP(hAPP(c_in(C),E),A)).
% 118.07/118.11  ** KEPT (pick-wt=6): 69 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C).
% 118.07/118.11  ** KEPT (pick-wt=8): 70 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 118.07/118.11  ** KEPT (pick-wt=24): 71 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D)|B=E.
% 118.07/118.11  ** KEPT (pick-wt=9): 72 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 118.07/118.11  ** KEPT (pick-wt=10): 73 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Obot__class_Obot(A),A)=c_Orderings_Obot__class_Obot(A).
% 118.07/118.11  ** KEPT (pick-wt=10): 74 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(A),B,A)=c_Orderings_Obot__class_Obot(A).
% 118.07/118.11  ** KEPT (pick-wt=8): 75 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 118.07/118.11  ** KEPT (pick-wt=29): 76 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 118.07/118.11  ** KEPT (pick-wt=28): 77 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 118.07/118.11  ** KEPT (pick-wt=28): 78 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 118.07/118.11  ** KEPT (pick-wt=12): 79 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 118.07/118.11  ** KEPT (pick-wt=12): 80 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 118.07/118.11  ** KEPT (pick-wt=12): 81 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 118.07/118.11  ** KEPT (pick-wt=9): 82 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 118.07/118.11  ** KEPT (pick-wt=8): 83 [] c_Suc(A)!=c_Suc(B)|A=B.
% 118.07/118.11    Following clause subsumed by 83 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 118.07/118.11  ** KEPT (pick-wt=7): 84 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 118.07/118.11  ** KEPT (pick-wt=8): 85 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 118.07/118.11  ** KEPT (pick-wt=17): 86 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 118.07/118.11  ** KEPT (pick-wt=13): 87 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 118.07/118.11  ** KEPT (pick-wt=13): 88 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 118.07/118.11  ** KEPT (pick-wt=9): 89 [] c_Com_OWT(c_Com_Ocom_OCond(A,B,C))| -c_Com_OWT(C)| -c_Com_OWT(B).
% 118.07/118.11  ** KEPT (pick-wt=7): 90 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 118.07/118.11  ** KEPT (pick-wt=7): 91 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 118.07/118.11  ** KEPT (pick-wt=17): 92 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=17): 93 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=17): 94 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=17): 95 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=8): 96 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 118.07/118.11  ** KEPT (pick-wt=27): 97 [] 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(hAPP(hAPP(c_in(D),E),B)).
% 118.07/118.11  ** KEPT (pick-wt=9): 98 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 118.07/118.11  ** KEPT (pick-wt=9): 99 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 118.07/118.11  ** KEPT (pick-wt=8): 100 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 118.07/118.11  ** KEPT (pick-wt=7): 101 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 118.07/118.11  ** KEPT (pick-wt=25): 102 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))|c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 118.07/118.11  ** KEPT (pick-wt=21): 103 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),A).
% 118.07/118.11  ** KEPT (pick-wt=11): 104 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 118.07/118.11  ** KEPT (pick-wt=8): 105 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 118.07/118.11  ** KEPT (pick-wt=12): 106 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 118.07/118.11  ** KEPT (pick-wt=7): 107 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 118.07/118.11  ** KEPT (pick-wt=11): 108 [] A=B| -c_lesse_quals(B,A,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 118.07/118.11  ** KEPT (pick-wt=11): 109 [] A=B| -c_Natural_Oevalc(C,D,A)| -c_Natural_Oevalc(C,D,B).
% 118.07/118.11  ** KEPT (pick-wt=13): 110 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 118.07/118.11    Following clause subsumed by 110 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 118.07/118.11    Following clause subsumed by 110 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 118.07/118.11  ** KEPT (pick-wt=11): 111 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 118.07/118.11  ** KEPT (pick-wt=12): 112 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 118.07/118.11  ** KEPT (pick-wt=12): 113 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=12): 114 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=27): 115 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D.
% 118.07/118.11  ** KEPT (pick-wt=27): 116 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D.
% 118.07/118.11  ** KEPT (pick-wt=27): 117 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E.
% 118.07/118.11  ** KEPT (pick-wt=27): 118 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E.
% 118.07/118.11  ** KEPT (pick-wt=15): 119 [] c_Natural_Oevalc(A,B,C)|hBOOL(hAPP(D,B))| -c_Natural_Oevalc(c_Com_Ocom_OCond(D,E,A),B,C).
% 118.07/118.11  ** KEPT (pick-wt=15): 120 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(C,D,E)|hBOOL(hAPP(A,D)).
% 118.07/118.11  ** KEPT (pick-wt=14): 121 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 118.07/118.11  ** KEPT (pick-wt=14): 122 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 118.07/118.11  ** KEPT (pick-wt=14): 123 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 118.07/118.11  ** KEPT (pick-wt=6): 124 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(B,A)).
% 118.07/118.11  ** KEPT (pick-wt=6): 125 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(A,B)).
% 118.07/118.11  ** KEPT (pick-wt=27): 126 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,D,A)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,E))| -hBOOL(hAPP(hAPP(c_in(A),E),B)).
% 118.07/118.11  ** KEPT (pick-wt=27): 127 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,D,A)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,E))| -hBOOL(hAPP(hAPP(c_in(A),E),C)).
% 118.07/118.11  ** KEPT (pick-wt=24): 128 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 118.07/118.11  ** KEPT (pick-wt=18): 129 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C.
% 118.07/118.11    Following clause subsumed by 64 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 118.07/118.11  ** KEPT (pick-wt=7): 130 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D).
% 118.07/118.11  ** KEPT (pick-wt=7): 131 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCall(B,C,D).
% 118.07/118.11  ** KEPT (pick-wt=9): 132 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 118.07/118.11  ** KEPT (pick-wt=9): 133 [] -c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(B),A,tc_nat).
% 118.07/118.11  ** KEPT (pick-wt=8): 134 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 118.07/118.11  ** KEPT (pick-wt=11): 135 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 118.07/118.11  ** KEPT (pick-wt=23): 136 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 118.07/118.11  ** KEPT (pick-wt=17): 137 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.11  ** KEPT (pick-wt=17): 138 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.11  ** KEPT (pick-wt=13): 139 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 118.07/118.11  ** KEPT (pick-wt=13): 140 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 118.07/118.11  ** KEPT (pick-wt=23): 141 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(c_Fun_Oid(D),F,D,D,E)|hAPP(A,hAPP(B,G))=hAPP(F,G).
% 118.07/118.11  ** KEPT (pick-wt=19): 142 [] -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).
% 118.07/118.11  ** KEPT (pick-wt=13): 143 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=13): 144 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 118.07/118.11  ** KEPT (pick-wt=13): 145 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 118.07/118.11  ** KEPT (pick-wt=13): 146 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 118.07/118.11    Following clause subsumed by 143 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 118.07/118.11    Following clause subsumed by 144 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 118.07/118.11  ** KEPT (pick-wt=8): 147 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 118.07/118.11  ** KEPT (pick-wt=11): 148 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 118.07/118.11  ** KEPT (pick-wt=11): 149 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 118.07/118.11  ** KEPT (pick-wt=8): 150 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 118.07/118.11  ** KEPT (pick-wt=10): 151 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 118.07/118.11  ** KEPT (pick-wt=10): 152 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 118.07/118.11  ** KEPT (pick-wt=6): 153 [] c_Com_OWT(c_Com_Ocom_OWhile(A,B))| -c_Com_OWT(B).
% 118.07/118.11  ** KEPT (pick-wt=6): 154 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OWhile(B,A)).
% 118.07/118.11  ** KEPT (pick-wt=14): 155 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=14): 156 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=24): 157 [] c_Fun_Oinj__on(c_Fun_Ocomp(A,B,C,D,E),F,E,D)| -c_Fun_Oinj__on(A,c_Set_Oimage(B,F,E,C),C,D)| -c_Fun_Oinj__on(B,F,E,C).
% 118.07/118.11  ** KEPT (pick-wt=7): 158 [] c_Com_OWT(c_Com_Ocom_OLocal(A,B,C))| -c_Com_OWT(C).
% 118.07/118.11  ** KEPT (pick-wt=7): 159 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OLocal(B,C,A)).
% 118.07/118.11  ** KEPT (pick-wt=8): 160 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 118.07/118.11  ** KEPT (pick-wt=21): 161 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,c_Collect(D,A),tc_fun(A,tc_bool)))).
% 118.07/118.11  ** KEPT (pick-wt=8): 162 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 118.07/118.11  ** KEPT (pick-wt=13): 163 [] A=c_Suc(B)|c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(A,c_Suc(B),tc_nat).
% 118.07/118.11  ** KEPT (pick-wt=32): 164 [] -hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(D,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)))| -c_Fun_Oinj__on(B,c_Set_Oinsert(C,D,E),E,A).
% 118.07/118.11  ** KEPT (pick-wt=8): 165 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 118.07/118.11  ** KEPT (pick-wt=13): 166 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 118.07/118.11  ** KEPT (pick-wt=13): 167 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 118.07/118.11  ** KEPT (pick-wt=15): 168 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(C,tc_bool)),C,D).
% 118.07/118.11  ** KEPT (pick-wt=15): 169 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 118.07/118.11  ** KEPT (pick-wt=26): 170 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 118.07/118.11    Following clause subsumed by 170 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 118.07/118.11  ** KEPT (pick-wt=24): 171 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OatLeastLessThan(C,D,E,F,A)))| -hBOOL(hAPP(hAPP(D,B),F))| -hBOOL(hAPP(hAPP(C,E),B)).
% 118.07/118.11  ** KEPT (pick-wt=17): 172 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 118.07/118.11    Following clause subsumed by 172 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 118.07/118.11  ** KEPT (pick-wt=23): 173 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OatLeastAtMost(C,D,E,A)))| -hBOOL(hAPP(hAPP(C,B),E))| -hBOOL(hAPP(hAPP(C,D),B)).
% 118.07/118.11  ** KEPT (pick-wt=19): 174 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 118.07/118.11  ** KEPT (pick-wt=19): 175 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 118.07/118.11  ** KEPT (pick-wt=10): 176 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 118.07/118.11    Following clause subsumed by 176 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 118.07/118.11    Following clause subsumed by 176 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 118.07/118.11    Following clause subsumed by 176 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 118.07/118.11  ** KEPT (pick-wt=20): 177 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|B=D| -hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(D,C,A))).
% 118.07/118.11  ** KEPT (pick-wt=26): 178 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(D,C,tc_fun(A,tc_bool)))).
% 118.07/118.11  ** KEPT (pick-wt=19): 179 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))).
% 118.07/118.11  ** KEPT (pick-wt=19): 180 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))).
% 118.07/118.11  ** KEPT (pick-wt=18): 181 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XbexI__1__1(B,A,C)))| -hBOOL(hAPP(hAPP(c_in(C),D),B))| -hBOOL(hAPP(A,D)).
% 118.07/118.11  ** KEPT (pick-wt=18): 182 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XbexE__1__1(B,A,C)))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_in(C),D),B)).
% 118.07/118.11  ** KEPT (pick-wt=27): 183 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,E,A,C)))| -hBOOL(hAPP(E,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,E,A,C))).
% 118.07/118.11  ** KEPT (pick-wt=27): 184 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))| -hBOOL(hAPP(E,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,A,E,C)))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,A,E,C))).
% 118.07/118.11  ** KEPT (pick-wt=21): 185 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(D,B))|hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__XballE__1__1(C,D,A)),C)).
% 118.07/118.11  ** KEPT (pick-wt=19): 186 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool)))).
% 118.07/118.11  ** KEPT (pick-wt=19): 187 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool)))).
% 118.07/118.11  ** KEPT (pick-wt=29): 188 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))|B=C| -c_Fun_Oinj__on(A,E,D,F).
% 118.07/118.11  ** KEPT (pick-wt=24): 189 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 118.07/118.11  ** KEPT (pick-wt=7): 190 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 118.07/118.11  ** KEPT (pick-wt=38): 191 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(B,C,D,E,A)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,F))| -hBOOL(hAPP(hAPP(c_in(A),F),hAPP(C,G)))| -hBOOL(hAPP(hAPP(c_in(E),G),B)).
% 118.07/118.11  ** KEPT (pick-wt=9): 192 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=26): 194 [copy,193,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),C)).
% 118.07/118.11  ** KEPT (pick-wt=26): 196 [copy,195,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),B)).
% 118.07/118.11  ** KEPT (pick-wt=22): 197 [] hAPP(A,B)=C| -hBOOL(hAPP(hAPP(c_in(D),B),c_Set_Ovimage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),D,E))).
% 118.07/118.11  ** KEPT (pick-wt=9): 198 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 118.07/118.11  ** KEPT (pick-wt=9): 199 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 118.07/118.11  ** KEPT (pick-wt=17): 200 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 118.07/118.11    Following clause subsumed by 200 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 118.07/118.11    Following clause subsumed by 200 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=9): 201 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 118.07/118.11  ** KEPT (pick-wt=9): 202 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 118.07/118.11  ** KEPT (pick-wt=10): 203 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|B=D.
% 118.07/118.11  ** KEPT (pick-wt=10): 204 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|A=C.
% 118.07/118.11  ** KEPT (pick-wt=8): 205 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 118.07/118.11  ** KEPT (pick-wt=9): 206 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 118.07/118.11  ** KEPT (pick-wt=9): 207 [] c_lesse_quals(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 118.07/118.11  ** KEPT (pick-wt=20): 208 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=20): 209 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 118.07/118.11  ** KEPT (pick-wt=12): 210 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 118.07/118.11  ** KEPT (pick-wt=5): 211 [] -c_lesse_quals(c_Suc(A),A,tc_nat).
% 118.07/118.11  ** KEPT (pick-wt=14): 212 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=14): 213 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 118.07/118.11  ** KEPT (pick-wt=12): 214 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|C=F.
% 118.07/118.11  ** KEPT (pick-wt=12): 215 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|B=E.
% 118.07/118.11  ** KEPT (pick-wt=12): 216 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|A=D.
% 118.07/118.11  ** KEPT (pick-wt=8): 217 [] c_Com_OWT(c_Com_Ocom_OSemi(A,B))| -c_Com_OWT(B)| -c_Com_OWT(A).
% 118.07/118.11  ** KEPT (pick-wt=7): 218 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 118.07/118.11  ** KEPT (pick-wt=18): 219 [] 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).
% 118.07/118.11  ** KEPT (pick-wt=18): 220 [] 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).
% 118.07/118.11  ** KEPT (pick-wt=13): 221 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevalc(c_Com_Ocom_OWhile(A,D),B,C).
% 118.07/118.11  ** KEPT (pick-wt=4): 222 [] c_Suc(A)!=A.
% 118.07/118.11    Following clause subsumed by 222 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 118.07/118.11  ** KEPT (pick-wt=24): 223 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 118.07/118.11  ** KEPT (pick-wt=8): 224 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 118.07/118.11  ** KEPT (pick-wt=13): 225 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 118.07/118.11  ** KEPT (pick-wt=13): 226 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 118.07/118.11  ** KEPT (pick-wt=13): 227 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 118.07/118.11  ** KEPT (pick-wt=13): 228 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 118.07/118.11    Following clause subsumed by 225 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 118.07/118.11    Following clause subsumed by 226 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 118.07/118.11  ** KEPT (pick-wt=19): 229 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(B,v_x),hAPP(C,v_x),A).
% 118.07/118.11  ** KEPT (pick-wt=14): 230 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 118.07/118.11  ** KEPT (pick-wt=14): 231 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 118.07/118.11  ** KEPT (pick-wt=12): 232 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 118.07/118.11  ** KEPT (pick-wt=6): 233 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 118.07/118.11  ** KEPT (pick-wt=6): 234 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 118.07/118.11  ** KEPT (pick-wt=16): 235 [] c_Set_Oimage(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.11  ** KEPT (pick-wt=21): 236 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,C).
% 118.07/118.11  ** KEPT (pick-wt=21): 237 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,C).
% 118.07/118.11  ** KEPT (pick-wt=6): 238 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 118.07/118.11  ** KEPT (pick-wt=25): 239 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,c_Collect(D,A),tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,B))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 118.07/118.11  ** KEPT (pick-wt=24): 240 [] 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)).
% 118.07/118.11  ** KEPT (pick-wt=28): 241 [] 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).
% 118.07/118.11  ** KEPT (pick-wt=14): 242 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 118.07/118.11  ** KEPT (pick-wt=14): 243 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 118.07/118.11  ** KEPT (pick-wt=17): 244 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 118.07/118.11  ** KEPT (pick-wt=19): 245 [] -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).
% 118.07/118.11  ** KEPT (pick-wt=19): 246 [] -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).
% 118.07/118.11  ** KEPT (pick-wt=9): 247 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 118.07/118.11  ** KEPT (pick-wt=15): 248 [] c_Natural_Oevalc(A,B,C)|c_Natural_Oevalc(D,B,C)| -c_Natural_Oevalc(c_Com_Ocom_OCond(E,D,A),B,C).
% 118.07/118.11  ** KEPT (pick-wt=10): 249 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat).
% 118.07/118.11  ** KEPT (pick-wt=10): 250 [] c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 118.07/118.11  ** KEPT (pick-wt=7): 251 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,C,A)).
% 118.07/118.11  ** KEPT (pick-wt=7): 252 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,A,C)).
% 118.07/118.11  ** KEPT (pick-wt=10): 253 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 118.07/118.11    Following clause subsumed by 188 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 118.07/118.11    Following clause subsumed by 188 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 118.07/118.11    Following clause subsumed by 188 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -hBOOL(hAPP(hAPP(c_in(E),B),D)).
% 118.07/118.11    Following clause subsumed by 176 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 118.07/118.11  ** KEPT (pick-wt=24): 254 [] hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),B)!=hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),C)|B=C.
% 118.07/118.11  ** KEPT (pick-wt=13): 255 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Collect(C,A)))| -hBOOL(hAPP(C,B)).
% 118.07/118.11  ** KEPT (pick-wt=13): 256 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Collect(A,C))).
% 118.07/118.11  ** KEPT (pick-wt=16): 257 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OatMost(C,D,A)))| -hBOOL(hAPP(hAPP(C,B),D)).
% 118.07/118.11  ** KEPT (pick-wt=16): 258 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatMost(A,C,D))).
% 118.07/118.11  ** KEPT (pick-wt=26): 259 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 118.07/118.11    Following clause subsumed by 259 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 118.07/118.11  ** KEPT (pick-wt=22): 260 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,E,A,C)),D)).
% 118.07/118.11  ** KEPT (pick-wt=22): 261 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,A,E,C)),D)).
% 118.07/118.11  ** KEPT (pick-wt=18): 262 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(D,B))| -hBOOL(hAPP(D,c_ATP__Linkup_Osko__Set__XballE__1__1(C,D,A))).
% 118.07/118.11  ** KEPT (pick-wt=26): 263 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(hAPP(hAPP(c_in(C),A),D))|hBOOL(hAPP(hAPP(c_in(C),A),B))|B=D.
% 118.07/118.11  ** KEPT (pick-wt=21): 264 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__XbexI__1__1(B,C,A)),B))| -hBOOL(hAPP(hAPP(c_in(A),D),B))| -hBOOL(hAPP(C,D)).
% 118.07/118.11  ** KEPT (pick-wt=29): 265 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(D,F)))| -hBOOL(hAPP(hAPP(c_in(E),F),C)).
% 118.07/118.11    Following clause subsumed by 265 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(D,F)))| -hBOOL(hAPP(hAPP(c_in(E),F),C)).
% 118.07/118.11  ** KEPT (pick-wt=16): 266 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OgreaterThan(C,D,A)))| -hBOOL(hAPP(hAPP(C,D),B)).
% 118.07/118.11  ** KEPT (pick-wt=16): 267 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OgreaterThan(A,B,D))).
% 118.07/118.11  ** KEPT (pick-wt=29): 268 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(B,C,A,D,E)))| -hBOOL(hAPP(A,F))| -hBOOL(hAPP(hAPP(c_in(E),F),hAPP(C,G)))| -hBOOL(hAPP(hAPP(c_in(D),G),B)).
% 118.07/118.12  ** KEPT (pick-wt=20): 269 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 118.07/118.12    Following clause subsumed by 269 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 118.07/118.12    Following clause subsumed by 269 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 118.07/118.12  ** KEPT (pick-wt=20): 270 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 118.07/118.12    Following clause subsumed by 270 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 118.07/118.12  ** KEPT (pick-wt=25): 271 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),D),C))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 118.07/118.12  ** KEPT (pick-wt=25): 272 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(c_in(E),B),D))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E).
% 118.07/118.12  ** KEPT (pick-wt=17): 273 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatLeastAtMost(A,E,C,D))).
% 118.07/118.12  ** KEPT (pick-wt=17): 274 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OatLeastAtMost(A,B,E,D))).
% 118.07/118.12  ** KEPT (pick-wt=19): 275 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,A,D)))| -hBOOL(hAPP(A,E))| -hBOOL(hAPP(hAPP(c_in(D),E),C)).
% 118.07/118.12  ** KEPT (pick-wt=19): 276 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,A,D)))| -hBOOL(hAPP(A,E))| -hBOOL(hAPP(hAPP(c_in(D),E),B)).
% 118.07/118.12  ** KEPT (pick-wt=21): 277 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__XbexE__1__1(B,C,A)),B))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(hAPP(c_in(A),D),B)).
% 118.07/118.12  ** KEPT (pick-wt=13): 278 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 118.07/118.12  ** KEPT (pick-wt=16): 279 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OlessThan(C,D,A)))| -hBOOL(hAPP(hAPP(C,B),D)).
% 118.07/118.12  ** KEPT (pick-wt=16): 280 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OlessThan(A,C,D))).
% 118.07/118.12  ** KEPT (pick-wt=29): 281 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_fun(E,tc_bool))),F),G))| -hBOOL(hAPP(hAPP(hAPP(B,H),F),G))| -hBOOL(hAPP(hAPP(c_in(C),H),A)).
% 118.07/118.12  ** KEPT (pick-wt=23): 282 [] 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(hAPP(hAPP(c_in(C),F),A)).
% 118.07/118.12    Following clause subsumed by 281 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_fun(E,tc_bool))),F),G))| -hBOOL(hAPP(hAPP(hAPP(B,H),F),G))| -hBOOL(hAPP(hAPP(c_in(C),H),A)).
% 118.07/118.12    Following clause subsumed by 282 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(hAPP(hAPP(c_in(C),F),A)).
% 118.07/118.12  ** KEPT (pick-wt=18): 283 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatLeastLessThan(E,A,F,C,D))).
% 118.07/118.12  ** KEPT (pick-wt=18): 284 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OatLeastLessThan(A,E,B,F,D))).
% 118.07/118.12  ** KEPT (pick-wt=21): 285 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(B,C,A)),B))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(hAPP(c_in(A),D),B)).
% 118.07/118.12  ** KEPT (pick-wt=18): 286 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(B,A,C)))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_in(C),D),B)).
% 118.07/118.12  ** KEPT (pick-wt=20): 287 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 118.07/118.12    Following clause subsumed by 287 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 118.07/118.12    Following clause subsumed by 287 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 118.07/118.12    Following clause subsumed by 287 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 118.07/118.12  ** KEPT (pick-wt=5): 289 [copy,288,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 118.07/118.12  ** KEPT (pick-wt=5): 290 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 118.07/118.12  ** KEPT (pick-wt=4): 291 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 118.07/118.12  ** KEPT (pick-wt=6): 292 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 118.07/118.12    Following clause subsumed by 292 during input processing: 0 [flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 118.07/118.12    Following clause subsumed by 289 during input processing: 0 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 118.07/118.12    Following clause subsumed by 290 during input processing: 0 [flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 118.07/118.12  ** KEPT (pick-wt=6): 293 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 118.07/118.12    Following clause subsumed by 293 during input processing: 0 [flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 118.07/118.12  ** KEPT (pick-wt=5): 295 [copy,294,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 118.07/118.12    Following clause subsumed by 295 during input processing: 0 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 118.07/118.12  ** KEPT (pick-wt=6): 297 [copy,296,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 118.07/118.12    Following clause subsumed by 297 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 118.07/118.12    Following clause subsumed by 291 during input processing: 0 [flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 118.07/118.12  ** KEPT (pick-wt=7): 298 [] A=B| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,B,A).
% 118.07/118.12  ** KEPT (pick-wt=18): 299 [] c_Natural_Oevaln(A,B,C,D)|c_Natural_Oevaln(E,B,C,D)| -c_Natural_Oevaln(c_Com_Ocom_OCond(F,E,A),B,C,D).
% 118.07/118.12  ** KEPT (pick-wt=14): 300 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,D),B,E,C).
% 118.07/118.12  ** KEPT (pick-wt=14): 301 [] c_Natural_Oevaln(A,B,C,D)| -c_lesse_quals(E,C,tc_nat)| -c_Natural_Oevaln(A,B,E,D).
% 118.07/118.12  ** KEPT (pick-wt=17): 302 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(C,D,E,F)|hBOOL(hAPP(A,D)).
% 118.07/118.12  ** KEPT (pick-wt=17): 303 [] c_Natural_Oevaln(A,B,C,D)|hBOOL(hAPP(E,B))| -c_Natural_Oevaln(c_Com_Ocom_OCond(E,F,A),B,C,D).
% 118.07/118.12  ** KEPT (pick-wt=11): 304 [] c_Natural_Oevaln(A,B,c_Suc(C),D)| -c_Natural_Oevaln(A,B,C,D).
% 118.07/118.12  ** KEPT (pick-wt=21): 305 [] c_Natural_Oevaln(A,B,c_Natural_Osko__Natural__Xevaln__max2__1__1(C,A,D,B,E,F),F)| -c_Natural_Oevaln(A,B,G,F)| -c_Natural_Oevaln(C,D,H,E).
% 118.07/118.12  ** KEPT (pick-wt=21): 306 [] c_Natural_Oevaln(A,B,c_Natural_Osko__Natural__Xevaln__max2__1__1(A,C,B,D,E,F),E)| -c_Natural_Oevaln(C,D,G,F)| -c_Natural_Oevaln(A,B,H,E).
% 118.07/118.12  ** KEPT (pick-wt=17): 307 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)).
% 118.07/118.12  ** KEPT (pick-wt=17): 308 [] -hBOOL(hAPP(A,B))|c_Natural_Oevaln(C,B,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OCond(A,C,F),B,D,E).
% 118.07/118.12  ** KEPT (pick-wt=23): 309 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),F,D,E)| -c_Natural_Oevaln(B,C,D,F)| -hBOOL(hAPP(A,C)).
% 118.07/118.12  ** KEPT (pick-wt=17): 310 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(A,B),C,D,E)| -c_Natural_Oevaln(B,F,D,E)| -c_Natural_Oevaln(A,C,D,F).
% 118.07/118.12  ** KEPT (pick-wt=9): 311 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 118.07/118.12    Following clause subsumed by 311 during input processing: 0 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 118.07/118.12  ** KEPT (pick-wt=9): 312 [] c_Hoare__Mirabelle_Otriple__valid(A,B,C)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),B,C).
% 118.07/118.12  ** KEPT (pick-wt=26): 313 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(D,A)),D))| -c_Hoare__Mirabelle_Ohoare__valids(D,C,t_a).
% 118.07/118.12  ** KEPT (pick-wt=19): 314 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(A,C),t_a).
% 118.07/118.12  ** KEPT (pick-wt=18): 315 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,t_a)|c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(A,B),C,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),C),A)).
% 118.07/118.12  ** KEPT (pick-wt=22): 316 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))| -c_Hoare__Mirabelle_Otriple__valid(A,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(D,A),t_a)| -c_Hoare__Mirabelle_Ohoare__valids(D,C,t_a).
% 118.07/118.12  ** KEPT (pick-wt=25): 317 [] hBOOL(hAPP(hAPP(A,B),C))| -c_Natural_Oevaln(D,E,F,C)| -hBOOL(hAPP(hAPP(G,B),E))| -c_Hoare__Mirabelle_Otriple__valid(F,c_Hoare__Mirabelle_Otriple_Otriple(G,D,A,t_a),t_a).
% 118.07/118.12  ** KEPT (pick-wt=22): 318 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(A,C)),C)).
% 118.07/118.12  ** KEPT (pick-wt=11): 319 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(C,B)).
% 118.07/118.12  ** KEPT (pick-wt=11): 320 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),A)).
% 118.07/118.12  ** KEPT (pick-wt=8): 321 [] A=B| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,B,C,A).
% 118.07/118.12  ** KEPT (pick-wt=6): 322 [] -hBOOL(hAPP(hAPP(v_P,v_x),v_xb)).
% 118.07/118.12  ** KEPT (pick-wt=12): 323 [] c_Hoare__Mirabelle_Otriple__valid(v_n,A,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),A),v_Ga)).
% 118.07/118.12  ** KEPT (pick-wt=6): 324 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 118.07/118.12  ** KEPT (pick-wt=6): 325 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 118.07/118.12  ** KEPT (pick-wt=6): 326 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 118.07/118.12  ** KEPT (pick-wt=6): 327 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 118.07/118.12  ** KEPT (pick-wt=6): 328 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 118.07/118.12  ** KEPT (pick-wt=6): 329 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 118.07/118.12  ** KEPT (pick-wt=6): 330 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 118.07/118.12  ** KEPT (pick-wt=6): 331 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 118.07/118.12  ** KEPT (pick-wt=6): 332 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 118.07/118.12  ** KEPT (pick-wt=6): 333 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 118.07/118.12  ** KEPT (pick-wt=10): 334 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 118.07/118.12    Following clause subsumed by 96 during input processing: 0 [copy,1,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 118.07/118.12    Following clause subsumed by 130 during input processing: 0 [copy,4,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D).
% 118.07/118.12    Following clause subsumed by 238 during input processing: 0 [copy,5,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 118.07/118.12    Following clause subsumed by 107 during input processing: 0 [copy,10,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 118.07/118.12    Following clause subsumed by 131 during input processing: 0 [copy,11,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCall(B,C,D).
% 118.07/118.12    Following clause subsumed by 72 during input processing: 0 [copy,12,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 118.07/118.12    Following clause subsumed by 82 during input processing: 0 [copy,15,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 118.07/118.12    Following clause subsumed by 30 during input processing: 0 [copy,17,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 118.07/118.12    Following clause subsumed by 162 during input processing: 0 [copy,28,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 118.07/118.12    Following clause subsumed by 17 during input processing: 0 [copy,30,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 118.07/118.12    Following clause subsumed by 205 during input processing: 0 [copy,57,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 118.07/118.12    Following clause subsumed by 69 during input processing: 0 [copy,58,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C).
% 118.07/118.12    Following clause subsumed by 218 during input processing: 0 [copy,62,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 118.07/118.12    Following clause subsumed by 75 during input processing: 0 [copy,63,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 118.07/118.12    Following clause subsumed by 192 during input processing: 0 [copy,64,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 118.07/118.12    Following clause subsumed by 147 during input processing: 0 [copy,65,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 118.07/118.12    Following clause subsumed by 85 during input processing: 0 [copy,66,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 118.07/118.12    Following clause subsumed by 58 during input processing: 0 [copy,69,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C).
% 118.07/118.12    Following clause subsumed by 160 during input processing: 0 [copy,70,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 118.07/118.12    Following clause subsumed by 12 during input processing: 0 [copy,72,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 118.07/118.12    Following clause subsumed by 63 during input processing: 0 [copy,75,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 118.07/118.12    Following clause subsumed by 15 during input processing: 0 [copy,82,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 118.07/118.12    Following clause subsumed by 190 during input processing: 0 [copy,84,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 118.07/118.12    Following clause subsumed by 66 during input processing: 0 [copy,85,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 118.07/118.12    Following clause subsumed by 91 during input processing: 0 [copy,90,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 118.07/118.12    Following clause subsumed by 90 during input processing: 0 [copy,91,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 118.07/118.12    Following clause subsumed by 1 during input processing: 0 [copy,96,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 118.07/118.12    Following clause subsumed by 165 during input processing: 0 [copy,100,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 118.07/118.12    Following clause subsumed by 134 during input processing: 0 [copy,105,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 118.07/118.12    Following clause subsumed by 10 during input processing: 0 [copy,107,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 118.07/118.12    Following clause subsumed by 4 during input processing: 0 [copy,130,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D).
% 118.07/118.12    Following clause subsumed by 11 during input processing: 0 [copy,131,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OBODY(D).
% 118.07/118.12    Following clause subsumed by 247 during input processing: 0 [copy,132,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 118.07/118.12    Following clause subsumed by 105 during input processing: 0 [copy,134,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 118.07/118.12    Following clause subsumed by 65 during input processing: 0 [copy,147,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 118.07/118.12    Following clause subsumed by 70 during input processing: 0 [copy,160,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 118.07/118.12    Following clause subsumed by 28 during input processing: 0 [copy,162,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 118.07/118.12    Following clause subsumed by 100 during input processing: 0 [copy,165,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 118.07/118.12  187 back subsumes 161.
% 118.07/118.12    Following clause subsumed by 84 during input processing: 0 [copy,190,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 118.07/118.12    Following clause subsumed by 64 during input processing: 0 [copy,192,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.12    Following clause subsumed by 57 during input processing: 0 [copy,205,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 118.07/118.12    Following clause subsumed by 62 during input processing: 0 [copy,218,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 118.07/118.12    Following clause subsumed by 5 during input processing: 0 [copy,238,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 118.07/118.12    Following clause subsumed by 132 during input processing: 0 [copy,247,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 118.07/118.12  
% 118.07/118.12  ------------> process sos:
% 118.07/118.12  ** KEPT (pick-wt=3): 382 [] A=A.
% 118.07/118.12  ** KEPT (pick-wt=25): 383 [] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=19): 385 [copy,384,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 386 [new_demod,385] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=19): 388 [copy,387,demod,386] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=10): 389 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),C,C)|hBOOL(hAPP(A,C)).
% 118.07/118.12  ** KEPT (pick-wt=43): 391 [copy,390,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,B,K)),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K).
% 118.07/118.12  ---> New Demodulator: 392 [new_demod,391] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,B,K)),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K).
% 118.07/118.12  ** KEPT (pick-wt=8): 393 [] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 118.07/118.12  ---> New Demodulator: 394 [new_demod,393] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 118.07/118.12  ** KEPT (pick-wt=34): 396 [copy,395,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L).
% 118.07/118.12  ---> New Demodulator: 397 [new_demod,396] hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L).
% 118.07/118.12  ** KEPT (pick-wt=28): 399 [copy,398,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 400 [new_demod,399] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=28): 402 [copy,401,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 403 [new_demod,402] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=9): 404 [] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 118.07/118.12  ---> New Demodulator: 405 [new_demod,404] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 118.07/118.12  ** KEPT (pick-wt=9): 406 [] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 118.07/118.12  ---> New Demodulator: 407 [new_demod,406] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 118.07/118.12  ** KEPT (pick-wt=8): 408 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 118.07/118.12  ---> New Demodulator: 409 [new_demod,408] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 118.07/118.12  ** KEPT (pick-wt=6): 410 [] c_Fun_Oinj__on(c_Fun_Oid(A),B,A,A).
% 118.07/118.12  ** KEPT (pick-wt=22): 411 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 118.07/118.12  ** KEPT (pick-wt=15): 412 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 118.07/118.12  ** KEPT (pick-wt=17): 413 [] 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.
% 118.07/118.12  ---> New Demodulator: 414 [new_demod,413] 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.
% 118.07/118.12  ** KEPT (pick-wt=15): 415 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 118.07/118.12  ** KEPT (pick-wt=6): 416 [] hAPP(c_COMBI(A),B)=B.
% 118.07/118.12  ---> New Demodulator: 417 [new_demod,416] hAPP(c_COMBI(A),B)=B.
% 118.07/118.12  ** KEPT (pick-wt=18): 418 [] 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)).
% 118.07/118.12  ---> New Demodulator: 419 [new_demod,418] 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)).
% 118.07/118.12  ** KEPT (pick-wt=19): 420 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 118.07/118.12    Following clause subsumed by 412 during input processing: 0 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 118.07/118.12  ** KEPT (pick-wt=13): 421 [] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=4): 422 [] c_Com_OWT(c_Com_Ocom_OAss(A,B)).
% 118.07/118.12  ** KEPT (pick-wt=8): 423 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 118.07/118.12  ** KEPT (pick-wt=23): 424 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=23): 425 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 426 [new_demod,425] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=13): 427 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=5): 428 [] c_Collect(A,B)=A.
% 118.07/118.12  ---> New Demodulator: 429 [new_demod,428] c_Collect(A,B)=A.
% 118.07/118.12  ** KEPT (pick-wt=27): 430 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=27): 431 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=6): 432 [] c_Fun_Oinj__on(c_COMBI(A),B,A,A).
% 118.07/118.12  ** KEPT (pick-wt=19): 433 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,c_Set_Oinsert(hAPP(C,B),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),A,D))).
% 118.07/118.12  ** KEPT (pick-wt=22): 435 [copy,434,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 436 [new_demod,435] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=12): 437 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 118.07/118.12  ---> New Demodulator: 438 [new_demod,437] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 118.07/118.12  ** KEPT (pick-wt=14): 439 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 440 [new_demod,439] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=14): 441 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 442 [new_demod,441] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=11): 443 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 118.07/118.12  ---> New Demodulator: 444 [new_demod,443] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 118.07/118.12  ** KEPT (pick-wt=11): 445 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=14): 446 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 118.07/118.12  ---> New Demodulator: 447 [new_demod,446] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 118.07/118.12    Following clause subsumed by 382 during input processing: 0 [demod,447] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 118.07/118.12  ** KEPT (pick-wt=8): 448 [] c_Set_Ovimage(c_COMBI(A),B,A,A)=B.
% 118.07/118.12  ---> New Demodulator: 449 [new_demod,448] c_Set_Ovimage(c_COMBI(A),B,A,A)=B.
% 118.07/118.12  ** KEPT (pick-wt=23): 450 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 451 [new_demod,450] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=23): 452 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=11): 453 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 118.07/118.12  ---> New Demodulator: 454 [new_demod,453] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 118.07/118.12  ** KEPT (pick-wt=11): 455 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 118.07/118.12  ---> New Demodulator: 456 [new_demod,455] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 118.07/118.12  ** KEPT (pick-wt=14): 457 [] 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)).
% 118.07/118.12  ---> New Demodulator: 458 [new_demod,457] 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)).
% 118.07/118.12  ** KEPT (pick-wt=17): 459 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 118.07/118.12  ---> New Demodulator: 460 [new_demod,459] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 118.07/118.12  ** KEPT (pick-wt=17): 461 [] c_Lattices_Oupper__semilattice__class_Osup(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.
% 118.07/118.12  ---> New Demodulator: 462 [new_demod,461] c_Lattices_Oupper__semilattice__class_Osup(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.
% 118.07/118.12  ** KEPT (pick-wt=28): 463 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(D,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 464 [new_demod,463] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(D,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=28): 465 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 466 [new_demod,465] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=28): 467 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 468 [new_demod,467] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=18): 469 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=A.
% 118.07/118.12  ---> New Demodulator: 470 [new_demod,469] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=A.
% 118.07/118.12  ** KEPT (pick-wt=25): 471 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=20): 472 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 118.07/118.12  ---> New Demodulator: 473 [new_demod,472] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 118.07/118.12  ** KEPT (pick-wt=53): 475 [copy,474,demod,426,451] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 476 [new_demod,475] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=9): 477 [] c_lesse_quals(c_Suc(A),B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 118.07/118.12  ** KEPT (pick-wt=23): 478 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 118.07/118.12  ** KEPT (pick-wt=23): 479 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),D)).
% 118.07/118.12  ** KEPT (pick-wt=18): 480 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 481 [new_demod,480] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=18): 482 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 483 [new_demod,482] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=8): 484 [] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 118.07/118.12  ---> New Demodulator: 485 [new_demod,484] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 118.07/118.12  ** KEPT (pick-wt=28): 487 [copy,486,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 488 [new_demod,487] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=19): 489 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSemi(I,J),K)=hAPP(hAPP(D,I),J).
% 118.07/118.12  ** KEPT (pick-wt=20): 490 [] c_Set_Ovimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Ovimage(B,c_Set_Ovimage(A,F,C,D),E,C).
% 118.07/118.12  ---> New Demodulator: 491 [new_demod,490] c_Set_Ovimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Ovimage(B,c_Set_Ovimage(A,F,C,D),E,C).
% 118.07/118.12  ** KEPT (pick-wt=18): 493 [copy,492,demod,429] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fe_qual(C),C,C,tc_bool),A),B,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=13): 494 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=8): 495 [] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 118.07/118.12  ---> New Demodulator: 496 [new_demod,495] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 118.07/118.12  ** KEPT (pick-wt=22): 497 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 118.07/118.12  ** KEPT (pick-wt=17): 498 [] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=6): 499 [] c_lesse_quals(c_Suc(A),c_Suc(A),tc_nat).
% 118.07/118.12  ** KEPT (pick-wt=18): 500 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 118.07/118.12  ---> New Demodulator: 501 [new_demod,500] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=13): 502 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 118.07/118.12  ** KEPT (pick-wt=21): 504 [copy,503,demod,464] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=16): 505 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 118.07/118.12  ** KEPT (pick-wt=25): 506 [] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=19): 507 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 118.07/118.12  ** KEPT (pick-wt=26): 509 [copy,508,flip.1] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),A),C)).
% 118.07/118.12  ** KEPT (pick-wt=31): 511 [copy,510,flip.1] hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K).
% 118.07/118.12  ---> New Demodulator: 512 [new_demod,511] hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K).
% 118.07/118.12  ** KEPT (pick-wt=24): 513 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=B|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 118.07/118.12  ** KEPT (pick-wt=6): 514 [] hAPP(c_Fun_Oid(A),B)=B.
% 118.07/118.12  ---> New Demodulator: 515 [new_demod,514] hAPP(c_Fun_Oid(A),B)=B.
% 118.07/118.12  ** KEPT (pick-wt=46): 517 [copy,516,flip.1] hAPP(hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,C,L)),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L).
% 118.07/118.12  ---> New Demodulator: 518 [new_demod,517] hAPP(hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,C,L)),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L).
% 118.07/118.12  ** KEPT (pick-wt=25): 519 [] c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 118.07/118.12  ** KEPT (pick-wt=10): 520 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 118.07/118.12    Following clause subsumed by 520 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 118.07/118.12    Following clause subsumed by 520 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 118.07/118.12  ** KEPT (pick-wt=22): 521 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OLocal(I,J,K),L)=hAPP(hAPP(hAPP(C,I),J),K).
% 118.07/118.12  ** KEPT (pick-wt=19): 522 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OWhile(I,J),K)=hAPP(hAPP(F,I),J).
% 118.07/118.12  ** KEPT (pick-wt=19): 524 [copy,523,flip.1] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 118.07/118.12  ---> New Demodulator: 525 [new_demod,524] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 118.07/118.12  ** KEPT (pick-wt=14): 526 [] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 118.07/118.12  ---> New Demodulator: 527 [new_demod,526] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 118.07/118.12  ** KEPT (pick-wt=23): 529 [copy,528,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).
% 118.07/118.12  ---> New Demodulator: 530 [new_demod,529] 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).
% 118.07/118.12  ** KEPT (pick-wt=21): 531 [] c_Set_Oinsert(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)),D)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D).
% 118.07/118.13  ** KEPT (pick-wt=28): 532 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.13  ---> New Demodulator: 533 [new_demod,532] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=28): 534 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.13  ---> New Demodulator: 535 [new_demod,534] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=7): 536 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 118.07/118.13  ** KEPT (pick-wt=18): 537 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 118.07/118.13  ---> New Demodulator: 538 [new_demod,537] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=9): 539 [] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 118.07/118.13  ---> New Demodulator: 540 [new_demod,539] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 118.07/118.13  ** KEPT (pick-wt=9): 541 [] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 118.07/118.13  ---> New Demodulator: 542 [new_demod,541] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 118.07/118.13  ** KEPT (pick-wt=20): 543 [] c_Set_Oimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 118.07/118.13  ---> New Demodulator: 544 [new_demod,543] c_Set_Oimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 118.07/118.13  ** KEPT (pick-wt=8): 545 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 118.07/118.13  ---> New Demodulator: 546 [new_demod,545] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 118.07/118.13  ** KEPT (pick-wt=4): 547 [] c_lesse_quals(A,A,tc_nat).
% 118.07/118.13    Following clause subsumed by 547 during input processing: 0 [] c_lesse_quals(A,A,tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=16): 548 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 118.07/118.13  ** KEPT (pick-wt=38): 550 [copy,549,demod,464,466,546,466,468] c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=16): 552 [copy,551,demod,429] hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 118.07/118.13  ---> New Demodulator: 553 [new_demod,552] hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 118.07/118.13  ** KEPT (pick-wt=28): 555 [copy,554,demod,464,flip.1] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 118.07/118.13  ---> New Demodulator: 556 [new_demod,555] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 118.07/118.13    Following clause subsumed by 520 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))).
% 118.07/118.13  ** KEPT (pick-wt=22): 557 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCond(I,J,K),L)=hAPP(hAPP(hAPP(E,I),J),K).
% 118.07/118.13  ** KEPT (pick-wt=29): 558 [] c_Set_Ovimage(A,c_Set_Oinsert(B,C,D),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=28): 560 [copy,559,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.13  ---> New Demodulator: 561 [new_demod,560] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=31): 562 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=12): 564 [copy,563,demod,429] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 118.07/118.13  ---> New Demodulator: 565 [new_demod,564] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 118.07/118.13    Following clause subsumed by 382 during input processing: 0 [demod,409] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=25): 566 [] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=13): 567 [] c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=12): 569 [copy,568,demod,429] hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),B)=B.
% 118.07/118.13  ---> New Demodulator: 570 [new_demod,569] hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),B)=B.
% 118.07/118.13  ** KEPT (pick-wt=23): 571 [] c_Fun_Ofcomp(c_Fun_Ofcomp(A,B,C,D,E),F,C,E,G)=c_Fun_Ofcomp(A,c_Fun_Ofcomp(B,F,D,E,G),C,D,G).
% 118.07/118.13  ---> New Demodulator: 572 [new_demod,571] c_Fun_Ofcomp(c_Fun_Ofcomp(A,B,C,D,E),F,C,E,G)=c_Fun_Ofcomp(A,c_Fun_Ofcomp(B,F,D,E,G),C,D,G).
% 118.07/118.13  ** KEPT (pick-wt=8): 573 [] c_lesse_quals(A,B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=20): 575 [copy,574,demod,570,570] hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool))).
% 118.07/118.13  ** KEPT (pick-wt=20): 577 [copy,576,demod,570,570] hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool))).
% 118.07/118.13    Following clause subsumed by 382 during input processing: 0 [demod,447] hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 118.07/118.13    Following clause subsumed by 382 during input processing: 0 [demod,515] v_x=v_x.
% 118.07/118.13    Following clause subsumed by 382 during input processing: 0 [demod,527] hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 118.07/118.13  ** KEPT (pick-wt=4): 578 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,A,A).
% 118.07/118.13  ** KEPT (pick-wt=13): 579 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 118.07/118.13  ---> New Demodulator: 580 [new_demod,579] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 118.07/118.13  ** KEPT (pick-wt=13): 581 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 118.07/118.13  ---> New Demodulator: 582 [new_demod,581] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 118.07/118.13  ** KEPT (pick-wt=2): 583 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 118.07/118.13  ** KEPT (pick-wt=11): 584 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,C)|hBOOL(hAPP(A,C)).
% 118.07/118.13    Following clause subsumed by 382 during input processing: 0 [demod,417] v_P=v_P.
% 118.07/118.13  ** KEPT (pick-wt=16): 586 [copy,585,flip.1] hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x).
% 118.07/118.13  ---> New Demodulator: 587 [new_demod,586] hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x).
% 118.07/118.13  ** KEPT (pick-wt=5): 588 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,A,B,A).
% 118.07/118.13  ** KEPT (pick-wt=6): 589 [] hBOOL(hAPP(hAPP(v_P,v_x),v_xa)).
% 118.07/118.13  ** KEPT (pick-wt=5): 590 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb).
% 118.07/118.13  ** KEPT (pick-wt=2): 591 [] class_Lattices_Oupper__semilattice(tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=2): 592 [] class_Lattices_Olower__semilattice(tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=2): 593 [] class_Lattices_Odistrib__lattice(tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=2): 594 [] class_Orderings_Opreorder(tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=2): 595 [] class_Orderings_Olinorder(tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=2): 596 [] class_Lattices_Olattice(tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=2): 597 [] class_Orderings_Oorder(tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=2): 598 [] class_Orderings_Obot(tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=2): 599 [] class_HOL_Ominus(tc_nat).
% 118.07/118.13  ** KEPT (pick-wt=2): 600 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 118.07/118.13  ** KEPT (pick-wt=2): 601 [] class_Lattices_Oupper__semilattice(tc_bool).
% 118.07/118.13  ** KEPT (pick-wt=2): 602 [] class_Lattices_Olower__semilattice(tc_bool).
% 118.07/118.13  ** KEPT (pick-wt=2): 603 [] class_Lattices_Odistrib__lattice(tc_bool).
% 118.07/118.13  ** KEPT (pick-wt=2): 604 [] class_Lattices_Obounded__lattice(tc_bool).
% 118.07/118.13  ** KEPT (pick-wt=2): 605 [] class_Orderings_Opreorder(tc_bool).
% 118.07/118.13  ** KEPT (pick-wt=2): 606 [] class_Lattices_Olattice(tc_bool).
% 118.07/118.13  ** KEPT (pick-wt=2): 607 [] class_Orderings_Oorder(tc_bool).
% 118.07/118.13  ** KEPT (pick-wt=2): 608 [] class_Orderings_Obot(tc_bool).
% 118.07/118.13  ** KEPT (pick-wt=2): 609 [] class_HOL_Ominus(tc_bool).
% 118.07/118.13    Following clause subsumed by 536 during input processing: 0 [demod,565] hBOOL(hAPP(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),B)).
% 118.07/118.13    Following clause subsumed by 382 during input processing: 0 [copy,382,flip.1] A=A.
% 118.07/118.13  382 back subsumes 367.
% 118.07/118.13  382 back subsumes 357.
% 118.07/118.13  382 back subsumes 343.
% 118.07/118.13  382 back subsumes 342.
% 118.07/118.13  382 back subsumes 341.
% 118.07/118.13  ** KEPT (pick-wt=25): 610 [copy,383,flip.1] c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(D,tc_bool)),C,D).
% 118.07/118.13  >>>> Starting back demodulation with 386.
% 118.07/118.13  ** KEPT (pick-wt=19): 611 [copy,388,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 392.
% 118.07/118.13  >>>> Starting back demodulation with 394.
% 118.07/118.13  >>>> Starting back demodulation with 397.
% 118.07/118.13  >>>> Starting back demodulation with 400.
% 118.07/118.13  >>>> Starting back demodulation with 403.
% 118.07/118.13  >>>> Starting back demodulation with 405.
% 118.07/118.13  >>>> Starting back demodulation with 407.
% 118.07/118.13      >> back demodulating 141 with 407.
% 118.07/118.13  >>>> Starting back demodulation with 409.
% 118.07/118.13      >> back demodulating 353 with 409.
% 118.07/118.13      >> back demodulating 338 with 409.
% 118.07/118.13      >> back demodulating 335 with 409.
% 118.07/118.13  ** KEPT (pick-wt=22): 613 [copy,411,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,G,H,I,J,K,A,c_Com_Ocom_OCall(B,C,D),L).
% 118.07/118.13    Following clause subsumed by 412 during input processing: 0 [copy,412,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 118.07/118.13  >>>> Starting back demodulation with 414.
% 118.07/118.13  ** KEPT (pick-wt=15): 614 [copy,415,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(c_COMBC(A,D,E,F),C),B).
% 118.07/118.13  >>>> Starting back demodulation with 417.
% 118.07/118.13  >>>> Starting back demodulation with 419.
% 118.07/118.13  ** KEPT (pick-wt=19): 615 [copy,420,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,A,E,F,G,H,I,J,c_Com_Ocom_OAss(B,C),K).
% 118.07/118.13    Following clause subsumed by 502 during input processing: 0 [copy,421,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 118.07/118.13    Following clause subsumed by 424 during input processing: 0 [copy,424,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 426.
% 118.07/118.13    Following clause subsumed by 427 during input processing: 0 [copy,427,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 429.
% 118.07/118.13      >> back demodulating 363 with 429.
% 118.07/118.13      >> back demodulating 256 with 429.
% 118.07/118.13      >> back demodulating 255 with 429.
% 118.07/118.13      >> back demodulating 239 with 429.
% 118.07/118.13      >> back demodulating 210 with 429.
% 118.07/118.13      >> back demodulating 106 with 429.
% 118.07/118.13      >> back demodulating 26 with 429.
% 118.07/118.13  ** KEPT (pick-wt=27): 621 [copy,430,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=27): 622 [copy,431,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 436.
% 118.07/118.13      >> back demodulating 196 with 436.
% 118.07/118.13      >> back demodulating 194 with 436.
% 118.07/118.13  >>>> Starting back demodulation with 438.
% 118.07/118.13      >> back demodulating 347 with 438.
% 118.07/118.13      >> back demodulating 346 with 438.
% 118.07/118.13      >> back demodulating 345 with 438.
% 118.07/118.13      >> back demodulating 344 with 438.
% 118.07/118.13  >>>> Starting back demodulation with 440.
% 118.07/118.13  >>>> Starting back demodulation with 442.
% 118.07/118.13  >>>> Starting back demodulation with 444.
% 118.07/118.13  ** KEPT (pick-wt=11): 629 [copy,445,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 447.
% 118.07/118.13      >> back demodulating 241 with 447.
% 118.07/118.13  >>>> Starting back demodulation with 449.
% 118.07/118.13  >>>> Starting back demodulation with 451.
% 118.07/118.13    Following clause subsumed by 452 during input processing: 0 [copy,452,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 454.
% 118.07/118.13  >>>> Starting back demodulation with 456.
% 118.07/118.13  >>>> Starting back demodulation with 458.
% 118.07/118.13  >>>> Starting back demodulation with 460.
% 118.07/118.13  >>>> Starting back demodulation with 462.
% 118.07/118.13  >>>> Starting back demodulation with 464.
% 118.07/118.13  >>>> Starting back demodulation with 466.
% 118.07/118.13  >>>> Starting back demodulation with 468.
% 118.07/118.13      >> back demodulating 465 with 468.
% 118.07/118.13  >>>> Starting back demodulation with 470.
% 118.07/118.13  ** KEPT (pick-wt=25): 632 [copy,471,flip.1] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(B,C,D),A,D,tc_fun(E,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 473.
% 118.07/118.13      >> back demodulating 223 with 473.
% 118.07/118.13  >>>> Starting back demodulation with 476.
% 118.07/118.13  >>>> Starting back demodulation with 481.
% 118.07/118.13  >>>> Starting back demodulation with 483.
% 118.07/118.13  >>>> Starting back demodulation with 485.
% 118.07/118.13  >>>> Starting back demodulation with 488.
% 118.07/118.13  ** KEPT (pick-wt=19): 633 [copy,489,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K).
% 118.07/118.13  >>>> Starting back demodulation with 491.
% 118.07/118.13  ** KEPT (pick-wt=17): 634 [copy,493,flip.1,demod,553] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 118.07/118.13    Following clause subsumed by 494 during input processing: 0 [copy,494,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 496.
% 118.07/118.13  ** KEPT (pick-wt=22): 635 [copy,497,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__rec(E,F,G,H,I,J,K,A,c_Com_Ocom_OCall(B,C,D),L).
% 118.07/118.13    Following clause subsumed by 634 during input processing: 0 [copy,498,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 118.07/118.13  >>>> Starting back demodulation with 501.
% 118.07/118.13    Following clause subsumed by 421 during input processing: 0 [copy,502,flip.1] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=16): 636 [copy,504,flip.1,demod,546] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 118.07/118.13  ** KEPT (pick-wt=16): 637 [copy,505,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__case(C,D,E,F,G,H,A,I,c_Com_Ocom_OBODY(B),J).
% 118.07/118.13  ** KEPT (pick-wt=25): 638 [copy,506,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,tc_bool)),C,D).
% 118.07/118.13  ** KEPT (pick-wt=19): 639 [copy,507,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__rec(D,A,E,F,G,H,I,J,c_Com_Ocom_OAss(B,C),K).
% 118.07/118.13  >>>> Starting back demodulation with 512.
% 118.07/118.13  >>>> Starting back demodulation with 515.
% 118.07/118.13  >>>> Starting back demodulation with 518.
% 118.07/118.13  ** KEPT (pick-wt=25): 640 [copy,519,flip.1] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,E,tc_fun(D,tc_bool)),C,D).
% 118.07/118.13  ** KEPT (pick-wt=22): 641 [copy,521,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L).
% 118.07/118.13  ** KEPT (pick-wt=19): 642 [copy,522,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K).
% 118.07/118.13  >>>> Starting back demodulation with 525.
% 118.07/118.13      >> back demodulating 136 with 525.
% 118.07/118.13  >>>> Starting back demodulation with 527.
% 118.07/118.13  >>>> Starting back demodulation with 530.
% 118.07/118.13  ** KEPT (pick-wt=21): 644 [copy,531,flip.1] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)=c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(B,tc_bool)),B).
% 118.07/118.13  >>>> Starting back demodulation with 533.
% 118.07/118.13      >> back demodulating 475 with 533.
% 118.07/118.13      >> back demodulating 469 with 533.
% 118.07/118.13      >> back demodulating 402 with 533.
% 118.07/118.13      >> back demodulating 399 with 533.
% 118.07/118.13  >>>> Starting back demodulation with 535.
% 118.07/118.13  >>>> Starting back demodulation with 538.
% 118.07/118.13  >>>> Starting back demodulation with 540.
% 118.07/118.13  >>>> Starting back demodulation with 542.
% 118.07/118.13  >>>> Starting back demodulation with 544.
% 118.07/118.13  >>>> Starting back demodulation with 546.
% 118.07/118.13      >> back demodulating 504 with 546.
% 118.07/118.13      >> back demodulating 364 with 546.
% 118.07/118.13      >> back demodulating 350 with 546.
% 118.07/118.13      >> back demodulating 340 with 546.
% 118.07/118.13  547 back subsumes 499.
% 118.07/118.13  ** KEPT (pick-wt=16): 655 [copy,548,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__rec(C,D,E,F,G,H,A,I,c_Com_Ocom_OBODY(B),J).
% 118.07/118.13  ** KEPT (pick-wt=38): 656 [copy,550,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 553.
% 118.07/118.13      >> back demodulating 493 with 553.
% 118.07/118.13  >>>> Starting back demodulation with 556.
% 118.07/118.13      >> back demodulating 463 with 556.
% 118.07/118.13  ** KEPT (pick-wt=22): 659 [copy,557,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L).
% 118.07/118.13  ** KEPT (pick-wt=29): 660 [copy,558,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),D,C),c_Set_Ovimage(A,E,D,C),tc_fun(D,tc_bool))=c_Set_Ovimage(A,c_Set_Oinsert(B,E,C),D,C).
% 118.07/118.13  >>>> Starting back demodulation with 561.
% 118.07/118.13  ** KEPT (pick-wt=31): 661 [copy,562,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,tc_fun(D,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 565.
% 118.07/118.13      >> back demodulating 334 with 565.
% 118.07/118.13  ** KEPT (pick-wt=25): 663 [copy,566,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 118.07/118.13  ** KEPT (pick-wt=13): 664 [copy,567,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Ovimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),A,C).
% 118.07/118.13  >>>> Starting back demodulation with 570.
% 118.07/118.13      >> back demodulating 254 with 570.
% 118.07/118.13  >>>> Starting back demodulation with 572.
% 118.07/118.13  ** KEPT (pick-wt=20): 665 [copy,575,flip.1] hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool)))=hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool)),v_x).
% 118.07/118.13  ** KEPT (pick-wt=20): 666 [copy,577,flip.1] hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool)))=hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool)),v_x).
% 118.07/118.13  >>>> Starting back demodulation with 580.
% 118.07/118.13  >>>> Starting back demodulation with 582.
% 118.07/118.13  >>>> Starting back demodulation with 587.
% 118.07/118.13    Following clause subsumed by 383 during input processing: 0 [copy,610,flip.1] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 118.07/118.13    Following clause subsumed by 388 during input processing: 0 [copy,611,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 118.07/118.13    Following clause subsumed by 411 during input processing: 0 [copy,613,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 118.07/118.13    Following clause subsumed by 415 during input processing: 0 [copy,614,flip.1] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 118.07/118.13    Following clause subsumed by 420 during input processing: 0 [copy,615,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 118.07/118.13    Following clause subsumed by 430 during input processing: 0 [copy,621,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 118.07/118.13    Following clause subsumed by 431 during input processing: 0 [copy,622,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 118.07/118.13    Following clause subsumed by 445 during input processing: 0 [copy,629,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 631.
% 118.07/118.13    Following clause subsumed by 471 during input processing: 0 [copy,632,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 118.07/118.13    Following clause subsumed by 489 during input processing: 0 [copy,633,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSemi(I,J),K)=hAPP(hAPP(D,I),J).
% 118.07/118.13    Following clause subsumed by 498 during input processing: 0 [copy,634,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 118.07/118.13    Following clause subsumed by 497 during input processing: 0 [copy,635,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 118.07/118.13    Following clause subsumed by 653 during input processing: 0 [copy,636,flip.1] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.07/118.13    Following clause subsumed by 505 during input processing: 0 [copy,637,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 118.07/118.13    Following clause subsumed by 506 during input processing: 0 [copy,638,flip.1] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 118.07/118.13    Following clause subsumed by 507 during input processing: 0 [copy,639,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 118.07/118.13    Following clause subsumed by 519 during input processing: 0 [copy,640,flip.1] c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 118.07/118.13    Following clause subsumed by 521 during input processing: 0 [copy,641,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OLocal(I,J,K),L)=hAPP(hAPP(hAPP(C,I),J),K).
% 118.07/118.13    Following clause subsumed by 522 during input processing: 0 [copy,642,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OWhile(I,J),K)=hAPP(hAPP(F,I),J).
% 118.07/118.13    Following clause subsumed by 531 during input processing: 0 [copy,644,flip.1] c_Set_Oinsert(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)),D)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D).
% 118.07/118.13  >>>> Starting back demodulation with 646.
% 118.07/118.13  >>>> Starting back demodulation with 648.
% 118.07/118.13  >>>> Starting back demodulation with 650.
% 118.07/118.13  >>>> Starting back demodulation with 652.
% 118.07/118.13    Following clause subsumed by 636 during input processing: 0 [copy,653,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 118.07/118.13    Following clause subsumed by 548 during input processing: 0 [copy,655,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 118.07/118.13    Following clause subsumed by 550 during input processing: 0 [copy,656,flip.1] c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 118.07/118.13  >>>> Starting back demodulation with 658.
% 118.07/118.13    Following clause subsumed by 557 during input processing: 0 [copy,659,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCond(I,J,K),L)=hAPP(hAPP(hAPP(E,I),J),K).
% 118.07/118.13    Following clause subsumed by 558 during input processing: 0 [copy,660,flip.1] c_Set_Ovimage(A,c_Set_Oinsert(B,C,D),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 118.29/118.38    Following clause subsumed by 562 during input processing: 0 [copy,661,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 118.29/118.38    Following clause subsumed by 566 during input processing: 0 [copy,663,flip.1] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 118.29/118.38    Following clause subsumed by 567 during input processing: 0 [copy,664,flip.1] c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 118.29/118.38    Following clause subsumed by 575 during input processing: 0 [copy,665,flip.1] hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool))).
% 118.29/118.38    Following clause subsumed by 577 during input processing: 0 [copy,666,flip.1] hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool))).
% 118.29/118.38  
% 118.29/118.38  ======= end of input processing =======
% 118.29/118.38  
% 118.29/118.38  =========== start of search ===========
% 118.29/118.38  
% 118.29/118.38  
% 118.29/118.38  Resetting weight limit to 2.
% 118.29/118.38  
% 118.29/118.38  
% 118.29/118.38  Resetting weight limit to 2.
% 118.29/118.38  
% 118.29/118.38  sos_size=182
% 118.29/118.38  
% 118.29/118.38  Search stopped in tp_alloc by max_mem option.
% 118.29/118.38  
% 118.29/118.38  Search stopped in tp_alloc by max_mem option.
% 118.29/118.38  
% 118.29/118.38  ============ end of search ============
% 118.29/118.38  
% 118.29/118.38  -------------- statistics -------------
% 118.29/118.38  clauses given                123
% 118.29/118.38  clauses generated          31217
% 118.29/118.38  clauses kept                 566
% 118.29/118.38  clauses forward subsumed     143
% 118.29/118.38  clauses back subsumed          7
% 118.29/118.38  Kbytes malloced            11718
% 118.29/118.38  
% 118.29/118.38  ----------- times (seconds) -----------
% 118.29/118.38  user CPU time          0.30          (0 hr, 0 min, 0 sec)
% 118.29/118.38  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 118.29/118.38  wall-clock time      118             (0 hr, 1 min, 58 sec)
% 118.29/118.38  
% 118.29/118.38  Process 17096 finished Wed Jul 27 06:16:13 2022
% 118.29/118.38  Otter interrupted
% 118.29/118.38  PROOF NOT FOUND
%------------------------------------------------------------------------------