%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV847-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n021.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 13:21:40 EDT 2022

% Result   : Unknown 104.73s 104.85s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : SWV847-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.13  % Command  : otter-tptp-script %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Jul 27 05:57:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 104.13/104.30  ----- Otter 3.3f, August 2004 -----
% 104.13/104.30  The process was started by sandbox on n021.cluster.edu,
% 104.13/104.30  Wed Jul 27 05:57:23 2022
% 104.13/104.30  The command was "./otter".  The process ID is 9852.
% 104.13/104.30  
% 104.13/104.30  set(prolog_style_variables).
% 104.13/104.30  set(auto).
% 104.13/104.30     dependent: set(auto1).
% 104.13/104.30     dependent: set(process_input).
% 104.13/104.30     dependent: clear(print_kept).
% 104.13/104.30     dependent: clear(print_new_demod).
% 104.13/104.30     dependent: clear(print_back_demod).
% 104.13/104.30     dependent: clear(print_back_sub).
% 104.13/104.30     dependent: set(control_memory).
% 104.13/104.30     dependent: assign(max_mem, 12000).
% 104.13/104.30     dependent: assign(pick_given_ratio, 4).
% 104.13/104.30     dependent: assign(stats_level, 1).
% 104.13/104.30     dependent: assign(max_seconds, 10800).
% 104.13/104.30  clear(print_given).
% 104.13/104.30  
% 104.13/104.30  list(usable).
% 104.13/104.30  0 [] A=A.
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  0 [] c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 104.13/104.30  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.
% 104.13/104.30  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OBODY(V_pname).
% 104.13/104.30  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 104.13/104.30  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 104.13/104.30  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))).
% 104.13/104.30  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.
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f.
% 104.13/104.30  0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g.
% 104.13/104.30  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 104.13/104.30  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 104.13/104.30  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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.
% 104.13/104.30  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).
% 104.13/104.30  0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 104.13/104.30  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  0 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))| -c_Com_OWT(c_Com_Ocom_OBODY(V_pn)).
% 104.13/104.30  0 [] c_Com_OWT(c_Com_Ocom_OBODY(V_P))| -c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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.
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OBODY(V_pname_H).
% 104.13/104.30  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 104.13/104.30  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 104.13/104.30  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 104.13/104.30  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.13/104.30  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 104.13/104.30  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))).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 104.13/104.30  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 104.13/104.30  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 104.13/104.30  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.
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 104.13/104.30  0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 104.13/104.30  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 104.13/104.30  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.
% 104.13/104.30  0 [] c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 104.13/104.30  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 104.13/104.30  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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)).
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 104.13/104.30  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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.
% 104.13/104.30  0 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s).
% 104.13/104.30  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 104.13/104.30  0 [] V_m=V_n| -c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 104.13/104.30  0 [] V_u=V_t| -c_Natural_Oevalc(V_c,V_s,V_u)| -c_Natural_Oevalc(V_c,V_s,V_t).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OAss(V_vname_H,V_fun_H).
% 104.13/104.30  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)).
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 104.13/104.30  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).
% 104.13/104.30  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.
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 104.13/104.30  0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 104.13/104.30  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 104.13/104.30  0 [] -c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 104.13/104.30  0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 104.13/104.30  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a)=V_A.
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a)=V_Y.
% 104.13/104.30  0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_n),tc_nat).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))| -c_Com_OWT(V_c).
% 104.13/104.30  0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)).
% 104.13/104.30  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 104.13/104.30  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x.
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 104.13/104.30  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)))).
% 104.13/104.30  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 104.13/104.30  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 104.13/104.30  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))).
% 104.13/104.30  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)))).
% 104.13/104.30  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)))).
% 104.13/104.30  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)))).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))).
% 104.13/104.30  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))).
% 104.13/104.30  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))).
% 104.13/104.30  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))).
% 104.13/104.30  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))).
% 104.13/104.30  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)).
% 104.13/104.30  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)))).
% 104.13/104.30  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)))).
% 104.13/104.30  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)))).
% 104.13/104.30  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.
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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))).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_fun=V_fun_H.
% 104.13/104.30  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_vname=V_vname_H.
% 104.13/104.30  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 104.13/104.30  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 104.13/104.30  0 [] c_lesse_quals(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 104.13/104.30  0 [] -c_lesse_quals(c_Suc(V_n),V_n,tc_nat).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  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.
% 104.13/104.30  0 [] c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 104.13/104.30  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 104.13/104.30  0 [] c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b)=V_f.
% 104.13/104.30  0 [] c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b)=V_g.
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Suc(V_n)!=V_n.
% 104.13/104.30  0 [] V_n!=c_Suc(V_n).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 104.13/104.30  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_lesse_quals(V_n,V_n,tc_nat).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_lesse_quals(V_x,V_x,tc_nat).
% 104.13/104.30  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 104.13/104.30  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 104.13/104.30  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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))).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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))).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OAss(V_vname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat).
% 104.13/104.30  0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat).
% 104.13/104.30  0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 104.13/104.30  0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 104.13/104.30  0 [] c_lesse_quals(V_n,V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 104.13/104.30  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 104.13/104.30  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))).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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))).
% 104.13/104.30  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.
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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))).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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))).
% 104.13/104.30  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))).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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))).
% 104.13/104.30  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))).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 104.13/104.30  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)).
% 104.13/104.30  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))).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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))).
% 104.13/104.30  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))).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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))).
% 104.13/104.30  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))).
% 104.13/104.30  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)).
% 104.13/104.30  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)).
% 104.13/104.30  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))).
% 104.13/104.30  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))).
% 104.13/104.30  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)).
% 104.13/104.30  0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x.
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 104.13/104.30  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H).
% 104.13/104.30  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 104.13/104.30  0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 104.13/104.30  0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 104.13/104.30  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 104.13/104.30  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 104.13/104.30  0 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_s)|hBOOL(hAPP(V_b,V_s)).
% 104.13/104.30  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 104.13/104.30  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 104.13/104.30  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 104.13/104.30  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)).
% 104.13/104.30  0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 104.13/104.30  0 [] c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))| -c_Com_OWT(V_c).
% 104.13/104.30  0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)).
% 104.13/104.30  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  0 [] V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t).
% 104.13/104.30  0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_n,V_t).
% 104.13/104.30  0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_x,V_t).
% 104.13/104.30  0 [] hAPP(c_COMBI(t_a),v_P)=v_P.
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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).
% 104.13/104.30  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)).
% 104.13/104.30  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).
% 104.13/104.30  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))).
% 104.13/104.30  0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t),V_n,V_t)| -hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 104.13/104.30  0 [] c_Natural_Oevaln(V_c,V_s,V_n,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t))|V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 104.13/104.30  0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t),V_n,V_t)|V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 104.13/104.30  0 [] c_Natural_Oevaln(V_c,V_s,V_n,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t))| -hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 104.13/104.31  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).
% 104.13/104.31  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)).
% 104.13/104.31  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).
% 104.13/104.31  0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s)|hBOOL(hAPP(V_b,V_s)).
% 104.13/104.31  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| -hBOOL(hAPP(V_S,V_x)).
% 104.13/104.31  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)).
% 104.13/104.31  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)).
% 104.13/104.31  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 104.13/104.31  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 104.13/104.31  0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),v_x,v_n,v_xa).
% 104.13/104.31  0 [] hBOOL(hAPP(hAPP(v_P,v_xb),v_x)).
% 104.13/104.31  0 [] c_Hoare__Mirabelle_Otriple__valid(v_n,V_xc,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xc),v_G)).
% 104.13/104.31  0 [] hBOOL(hAPP(v_b,v_xa))| -hBOOL(hAPP(hAPP(v_P,v_xb),v_xa)).
% 104.13/104.31  0 [] hBOOL(hAPP(hAPP(v_P,V_Z),V_s_H))| -c_Natural_Oevaln(v_c,V_s,V_n,V_s_H)| -hBOOL(hAPP(v_b,V_s))| -hBOOL(hAPP(hAPP(v_P,V_Z),V_s))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_na(V_n)),v_G)).
% 104.13/104.31  0 [] hBOOL(hAPP(hAPP(v_P,V_Za),V_s_Ha))| -c_Natural_Oevaln(v_c,V_sa,V_n,V_s_Ha)| -hBOOL(hAPP(v_b,V_sa))| -hBOOL(hAPP(hAPP(v_P,V_Za),V_sa))| -c_Hoare__Mirabelle_Otriple__valid(V_n,v_na(V_n),t_a).
% 104.13/104.31  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 104.13/104.31  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 104.13/104.31  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 104.13/104.31  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 104.13/104.31  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 104.13/104.31  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 104.13/104.31  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 104.13/104.31  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 104.13/104.31  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 104.13/104.31  0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 104.13/104.31  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 104.13/104.31  0 [] class_Lattices_Olower__semilattice(tc_nat).
% 104.13/104.31  0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 104.13/104.31  0 [] class_Orderings_Opreorder(tc_nat).
% 104.13/104.31  0 [] class_Orderings_Olinorder(tc_nat).
% 104.13/104.31  0 [] class_Lattices_Olattice(tc_nat).
% 104.13/104.31  0 [] class_Orderings_Oorder(tc_nat).
% 104.13/104.31  0 [] class_Orderings_Obot(tc_nat).
% 104.13/104.31  0 [] class_HOL_Ominus(tc_nat).
% 104.13/104.31  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 104.13/104.31  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 104.13/104.31  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 104.13/104.31  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 104.13/104.31  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 104.13/104.31  0 [] class_Orderings_Opreorder(tc_bool).
% 104.13/104.31  0 [] class_Lattices_Olattice(tc_bool).
% 104.13/104.31  0 [] class_Orderings_Oorder(tc_bool).
% 104.13/104.31  0 [] class_Orderings_Obot(tc_bool).
% 104.13/104.31  0 [] class_HOL_Ominus(tc_bool).
% 104.13/104.31  0 [] c_fe_qual(V_x,V_x,T_a).
% 104.13/104.31  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 104.13/104.31  end_of_list.
% 104.13/104.31  
% 104.13/104.31  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 104.13/104.31  
% 104.13/104.31  This ia a non-Horn set with equality.  The strategy will be
% 104.13/104.31  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 104.13/104.31  deletion, with positive clauses in sos and nonpositive
% 104.13/104.31  clauses in usable.
% 104.13/104.31  
% 104.13/104.31     dependent: set(knuth_bendix).
% 104.13/104.31     dependent: set(anl_eq).
% 104.13/104.31     dependent: set(para_from).
% 104.13/104.31     dependent: set(para_into).
% 104.13/104.31     dependent: clear(para_from_right).
% 104.13/104.31     dependent: clear(para_into_right).
% 104.13/104.31     dependent: set(para_from_vars).
% 104.13/104.31     dependent: set(eq_units_both_ways).
% 104.13/104.31     dependent: set(dynamic_demod_all).
% 104.13/104.31     dependent: set(dynamic_demod).
% 104.13/104.31     dependent: set(order_eq).
% 104.13/104.31     dependent: set(back_demod).
% 104.13/104.31     dependent: set(lrpo).
% 104.13/104.31     dependent: set(hyper_res).
% 104.13/104.31     dependent: set(unit_deletion).
% 104.13/104.31     dependent: set(factor).
% 104.13/104.31  
% 104.13/104.31  ------------> process usable:
% 104.13/104.31  ** KEPT (pick-wt=12): 1 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|B=E.
% 104.13/104.31  ** KEPT (pick-wt=12): 2 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|C=F.
% 104.13/104.31  ** KEPT (pick-wt=7): 3 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 104.13/104.31  ** KEPT (pick-wt=7): 4 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OBODY(D).
% 104.13/104.31  ** KEPT (pick-wt=9): 5 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 104.13/104.31  ** KEPT (pick-wt=23): 6 [] 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)).
% 104.13/104.31  ** KEPT (pick-wt=19): 7 [] -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)).
% 104.13/104.31  ** KEPT (pick-wt=9): 8 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 104.13/104.31  ** KEPT (pick-wt=6): 9 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 104.13/104.31  ** KEPT (pick-wt=16): 10 [] A=B| -hBOOL(hAPP(hAPP(c_in(C),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))).
% 104.13/104.31  ** KEPT (pick-wt=19): 11 [] 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.
% 104.13/104.31  ** KEPT (pick-wt=19): 12 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=20): 14 [copy,13,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).
% 104.13/104.31  ** KEPT (pick-wt=20): 16 [copy,15,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).
% 104.13/104.31  ** KEPT (pick-wt=8): 17 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 104.13/104.31  ** KEPT (pick-wt=8): 18 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 104.13/104.31  ** KEPT (pick-wt=6): 19 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 104.13/104.31  ** KEPT (pick-wt=14): 20 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 104.13/104.31  ** KEPT (pick-wt=14): 21 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 104.13/104.31  ** KEPT (pick-wt=15): 22 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(B,D,E)| -hBOOL(hAPP(A,D)).
% 104.13/104.31  ** KEPT (pick-wt=15): 23 [] -hBOOL(hAPP(A,B))|c_Natural_Oevalc(C,B,D)| -c_Natural_Oevalc(c_Com_Ocom_OCond(A,C,E),B,D).
% 104.13/104.31  ** KEPT (pick-wt=14): 24 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B),C,D)| -c_Natural_Oevalc(B,E,D)| -c_Natural_Oevalc(A,C,E).
% 104.13/104.31  ** KEPT (pick-wt=17): 25 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=17): 26 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=17): 27 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=17): 28 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=12): 29 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 104.13/104.31  ** KEPT (pick-wt=12): 30 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 104.13/104.31  ** KEPT (pick-wt=12): 31 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 104.13/104.31  ** KEPT (pick-wt=8): 32 [] c_Com_OWT(c_Com_Ocom_OCall(A,B,C))| -c_Com_OWT(c_Com_Ocom_OBODY(B)).
% 104.13/104.31  ** KEPT (pick-wt=8): 33 [] c_Com_OWT(c_Com_Ocom_OBODY(A))| -c_Com_OWT(c_Com_Ocom_OCall(B,A,C)).
% 104.13/104.31  ** KEPT (pick-wt=17): 34 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=9): 35 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 104.13/104.31  ** KEPT (pick-wt=9): 36 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 104.13/104.31    Following clause subsumed by 34 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).
% 104.13/104.31    Following clause subsumed by 34 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).
% 104.13/104.31  ** KEPT (pick-wt=9): 37 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 104.13/104.31  ** KEPT (pick-wt=12): 38 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|A=D.
% 104.13/104.31  ** KEPT (pick-wt=11): 39 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 104.13/104.31  ** KEPT (pick-wt=7): 40 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D).
% 104.13/104.31  ** KEPT (pick-wt=16): 41 [] 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)).
% 104.13/104.31  ** KEPT (pick-wt=6): 42 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C).
% 104.13/104.31  ** KEPT (pick-wt=7): 43 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 104.13/104.31  ** KEPT (pick-wt=10): 44 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 104.13/104.31  ** KEPT (pick-wt=10): 45 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 104.13/104.31  ** KEPT (pick-wt=8): 46 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.13/104.31  ** KEPT (pick-wt=9): 47 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 104.13/104.31  ** KEPT (pick-wt=8): 48 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 104.13/104.31  ** KEPT (pick-wt=8): 49 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 104.13/104.31  ** KEPT (pick-wt=14): 50 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 104.13/104.31  ** KEPT (pick-wt=27): 51 [] 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)).
% 104.13/104.31  ** KEPT (pick-wt=6): 52 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C).
% 104.13/104.31  ** KEPT (pick-wt=9): 53 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 104.13/104.31  ** KEPT (pick-wt=10): 54 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=10): 55 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=8): 56 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 104.13/104.31  ** KEPT (pick-wt=29): 57 [] 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)).
% 104.13/104.31  ** KEPT (pick-wt=28): 58 [] 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).
% 104.13/104.31  ** KEPT (pick-wt=28): 59 [] 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).
% 104.13/104.31  ** KEPT (pick-wt=12): 60 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 104.13/104.31  ** KEPT (pick-wt=12): 61 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 104.13/104.31  ** KEPT (pick-wt=12): 62 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 104.13/104.31  ** KEPT (pick-wt=9): 63 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 104.13/104.31  ** KEPT (pick-wt=8): 64 [] c_Suc(A)!=c_Suc(B)|A=B.
% 104.13/104.31    Following clause subsumed by 64 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 104.13/104.31  ** KEPT (pick-wt=8): 65 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 104.13/104.31  ** KEPT (pick-wt=17): 66 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 104.13/104.31  ** KEPT (pick-wt=13): 67 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 104.13/104.31  ** KEPT (pick-wt=13): 68 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 104.13/104.31  ** KEPT (pick-wt=9): 69 [] c_Com_OWT(c_Com_Ocom_OCond(A,B,C))| -c_Com_OWT(C)| -c_Com_OWT(B).
% 104.13/104.31  ** KEPT (pick-wt=7): 70 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 104.13/104.31  ** KEPT (pick-wt=7): 71 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 104.13/104.31  ** KEPT (pick-wt=17): 72 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=17): 73 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=17): 74 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=17): 75 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=27): 76 [] 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)).
% 104.13/104.31  ** KEPT (pick-wt=9): 77 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 104.13/104.31  ** KEPT (pick-wt=9): 78 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 104.13/104.31  ** KEPT (pick-wt=8): 79 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.13/104.31  ** KEPT (pick-wt=7): 80 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 104.13/104.31  ** KEPT (pick-wt=6): 82 [copy,81,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 104.13/104.31  ** KEPT (pick-wt=25): 83 [] -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)).
% 104.13/104.31  ** KEPT (pick-wt=21): 84 [] -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).
% 104.13/104.31  ** KEPT (pick-wt=11): 85 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 104.21/104.31  ** KEPT (pick-wt=7): 86 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 104.21/104.31  ** KEPT (pick-wt=11): 87 [] A=B| -c_lesse_quals(B,A,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 104.21/104.31  ** KEPT (pick-wt=11): 88 [] A=B| -c_Natural_Oevalc(C,D,A)| -c_Natural_Oevalc(C,D,B).
% 104.21/104.31  ** KEPT (pick-wt=13): 89 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 104.21/104.31    Following clause subsumed by 89 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 104.21/104.31    Following clause subsumed by 89 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 104.21/104.31    Following clause subsumed by 82 during input processing: 0 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 104.21/104.31  ** KEPT (pick-wt=11): 90 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 104.21/104.31  ** KEPT (pick-wt=12): 91 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 104.21/104.31  ** KEPT (pick-wt=12): 92 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 104.21/104.31  ** KEPT (pick-wt=12): 93 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 104.21/104.31  ** KEPT (pick-wt=27): 94 [] 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.
% 104.21/104.31  ** KEPT (pick-wt=27): 95 [] 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.
% 104.21/104.31  ** KEPT (pick-wt=27): 96 [] 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.
% 104.21/104.31  ** KEPT (pick-wt=27): 97 [] 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.
% 104.21/104.31  ** KEPT (pick-wt=15): 98 [] c_Natural_Oevalc(A,B,C)|hBOOL(hAPP(D,B))| -c_Natural_Oevalc(c_Com_Ocom_OCond(D,E,A),B,C).
% 104.21/104.31  ** KEPT (pick-wt=15): 99 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(C,D,E)|hBOOL(hAPP(A,D)).
% 104.21/104.31  ** KEPT (pick-wt=5): 101 [copy,100,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 104.21/104.31  ** KEPT (pick-wt=14): 102 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 104.21/104.31  ** KEPT (pick-wt=14): 103 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 104.21/104.31  ** KEPT (pick-wt=14): 104 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 104.21/104.31  ** KEPT (pick-wt=6): 105 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(B,A)).
% 104.21/104.31  ** KEPT (pick-wt=9): 106 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 104.21/104.31  ** KEPT (pick-wt=11): 107 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 104.21/104.31  ** KEPT (pick-wt=11): 108 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 104.21/104.31  ** KEPT (pick-wt=28): 109 [] 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).
% 104.21/104.31  ** KEPT (pick-wt=6): 111 [copy,110,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 104.21/104.31  ** KEPT (pick-wt=21): 112 [] -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).
% 104.21/104.31  ** KEPT (pick-wt=8): 113 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 104.21/104.31  ** KEPT (pick-wt=18): 114 [] 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.
% 104.21/104.31    Following clause subsumed by 47 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)).
% 104.21/104.31  ** KEPT (pick-wt=7): 115 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D).
% 104.21/104.31  ** KEPT (pick-wt=7): 116 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCall(B,C,D).
% 104.21/104.31  ** KEPT (pick-wt=9): 117 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 104.21/104.31  ** KEPT (pick-wt=9): 118 [] -c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(B),A,tc_nat).
% 104.21/104.31  ** KEPT (pick-wt=11): 119 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 104.21/104.31  ** KEPT (pick-wt=23): 120 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=17): 121 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=17): 122 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=13): 123 [] -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).
% 104.21/104.31  ** KEPT (pick-wt=13): 124 [] -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).
% 104.21/104.31  ** KEPT (pick-wt=23): 125 [] 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).
% 104.21/104.31  ** KEPT (pick-wt=19): 126 [] -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).
% 104.21/104.31  ** KEPT (pick-wt=13): 127 [] -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).
% 104.21/104.31  ** KEPT (pick-wt=13): 128 [] -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).
% 104.21/104.31  ** KEPT (pick-wt=13): 129 [] -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).
% 104.21/104.31  ** KEPT (pick-wt=13): 130 [] -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).
% 104.21/104.31    Following clause subsumed by 127 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).
% 104.21/104.31    Following clause subsumed by 128 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).
% 104.21/104.31  ** KEPT (pick-wt=8): 131 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 104.21/104.31  ** KEPT (pick-wt=11): 132 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 104.21/104.31  ** KEPT (pick-wt=11): 133 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 104.21/104.31  ** KEPT (pick-wt=8): 134 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 104.21/104.31  ** KEPT (pick-wt=14): 135 [] -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).
% 104.21/104.31  ** KEPT (pick-wt=14): 136 [] -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).
% 104.21/104.31  ** KEPT (pick-wt=7): 137 [] c_Com_OWT(c_Com_Ocom_OLocal(A,B,C))| -c_Com_OWT(C).
% 104.21/104.31  ** KEPT (pick-wt=7): 138 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OLocal(B,C,A)).
% 104.21/104.31    Following clause subsumed by 111 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 104.21/104.31  ** KEPT (pick-wt=8): 139 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 104.21/104.31  ** KEPT (pick-wt=13): 140 [] A=c_Suc(B)|c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(A,c_Suc(B),tc_nat).
% 104.21/104.31  ** KEPT (pick-wt=8): 141 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 104.21/104.31  ** KEPT (pick-wt=4): 143 [copy,142,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 104.21/104.31  ** KEPT (pick-wt=13): 144 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 104.21/104.31  ** KEPT (pick-wt=13): 145 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 104.21/104.31  ** KEPT (pick-wt=7): 146 [] A=B| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,B,A).
% 104.21/104.31  ** KEPT (pick-wt=26): 147 [] 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)).
% 104.21/104.31    Following clause subsumed by 147 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)).
% 104.21/104.31  ** KEPT (pick-wt=24): 148 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=17): 149 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 104.21/104.31    Following clause subsumed by 149 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)).
% 104.21/104.31  ** KEPT (pick-wt=23): 150 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=19): 151 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=19): 152 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=10): 153 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 104.21/104.31    Following clause subsumed by 153 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)))).
% 104.21/104.31    Following clause subsumed by 153 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 104.21/104.31    Following clause subsumed by 153 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 104.21/104.31  ** KEPT (pick-wt=20): 154 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|B=D| -hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(D,C,A))).
% 104.21/104.31  ** KEPT (pick-wt=26): 155 [] 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)))).
% 104.21/104.31  ** KEPT (pick-wt=19): 156 [] -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)))).
% 104.21/104.31  ** KEPT (pick-wt=19): 157 [] 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)))).
% 104.21/104.31  ** KEPT (pick-wt=18): 158 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=18): 159 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=27): 160 [] 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))).
% 104.21/104.31  ** KEPT (pick-wt=27): 161 [] 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))).
% 104.21/104.31  ** KEPT (pick-wt=21): 162 [] -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)).
% 104.21/104.31  ** KEPT (pick-wt=19): 163 [] 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)))).
% 104.21/104.31  ** KEPT (pick-wt=19): 164 [] 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)))).
% 104.21/104.31    Following clause subsumed by 153 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)))).
% 104.21/104.31  ** KEPT (pick-wt=24): 165 [] 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.
% 104.21/104.31  ** KEPT (pick-wt=16): 166 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OatMost(C,D,A)))| -hBOOL(hAPP(hAPP(C,B),D)).
% 104.21/104.31  ** KEPT (pick-wt=6): 167 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(A,B)).
% 104.21/104.31  ** KEPT (pick-wt=27): 168 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=27): 169 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=24): 170 [] 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).
% 104.21/104.31  ** KEPT (pick-wt=24): 171 [] 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).
% 104.21/104.31  ** KEPT (pick-wt=38): 172 [] 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)).
% 104.21/104.31  ** KEPT (pick-wt=9): 173 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 104.21/104.31  ** KEPT (pick-wt=26): 175 [copy,174,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)).
% 104.21/104.31  ** KEPT (pick-wt=26): 177 [copy,176,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)).
% 104.21/104.31  ** KEPT (pick-wt=22): 178 [] 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))).
% 104.21/104.31  ** KEPT (pick-wt=9): 179 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 104.21/104.31  ** KEPT (pick-wt=9): 180 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 104.21/104.31  ** KEPT (pick-wt=17): 181 [] -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).
% 104.21/104.31    Following clause subsumed by 181 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).
% 104.21/104.31    Following clause subsumed by 181 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).
% 104.21/104.31  ** KEPT (pick-wt=9): 182 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 104.21/104.31  ** KEPT (pick-wt=9): 183 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 104.21/104.31  ** KEPT (pick-wt=10): 184 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|B=D.
% 104.21/104.31  ** KEPT (pick-wt=10): 185 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|A=C.
% 104.21/104.31  ** KEPT (pick-wt=8): 186 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 104.21/104.31  ** KEPT (pick-wt=5): 187 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 104.21/104.32  ** KEPT (pick-wt=9): 188 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 104.21/104.32  ** KEPT (pick-wt=9): 189 [] c_lesse_quals(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 104.21/104.32  ** KEPT (pick-wt=20): 190 [] -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).
% 104.21/104.32  ** KEPT (pick-wt=20): 191 [] -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).
% 104.21/104.32  ** KEPT (pick-wt=5): 192 [] -c_lesse_quals(c_Suc(A),A,tc_nat).
% 104.21/104.32  ** KEPT (pick-wt=14): 193 [] -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).
% 104.21/104.32  ** KEPT (pick-wt=14): 194 [] -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).
% 104.21/104.32  ** KEPT (pick-wt=12): 195 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|C=F.
% 104.21/104.32  ** KEPT (pick-wt=12): 196 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|B=E.
% 104.21/104.32  ** KEPT (pick-wt=12): 197 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|A=D.
% 104.21/104.32  ** KEPT (pick-wt=8): 198 [] c_Com_OWT(c_Com_Ocom_OSemi(A,B))| -c_Com_OWT(B)| -c_Com_OWT(A).
% 104.21/104.32  ** KEPT (pick-wt=6): 200 [copy,199,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 104.21/104.32  ** KEPT (pick-wt=18): 201 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=18): 202 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=4): 203 [] c_Suc(A)!=A.
% 104.21/104.32    Following clause subsumed by 203 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 104.21/104.32  ** KEPT (pick-wt=24): 204 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=8): 205 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 104.21/104.32  ** KEPT (pick-wt=13): 206 [] -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).
% 104.21/104.32  ** KEPT (pick-wt=13): 207 [] -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).
% 104.21/104.32  ** KEPT (pick-wt=13): 208 [] -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).
% 104.21/104.32  ** KEPT (pick-wt=13): 209 [] -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).
% 104.21/104.32    Following clause subsumed by 206 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).
% 104.21/104.32    Following clause subsumed by 207 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).
% 104.21/104.32  ** KEPT (pick-wt=19): 210 [] -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).
% 104.21/104.32  ** KEPT (pick-wt=14): 211 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 104.21/104.32  ** KEPT (pick-wt=14): 212 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 104.21/104.32  ** KEPT (pick-wt=12): 213 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 104.21/104.32  ** KEPT (pick-wt=6): 214 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 104.21/104.32  ** KEPT (pick-wt=6): 215 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 104.21/104.32    Following clause subsumed by 200 during input processing: 0 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 104.21/104.32  ** KEPT (pick-wt=16): 216 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=21): 217 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=21): 218 [] 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).
% 104.21/104.32    Following clause subsumed by 143 during input processing: 0 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 104.21/104.32  ** KEPT (pick-wt=24): 219 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=28): 220 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=14): 221 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 104.21/104.32  ** KEPT (pick-wt=14): 222 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 104.21/104.32  ** KEPT (pick-wt=17): 223 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 104.21/104.32  ** KEPT (pick-wt=19): 224 [] -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).
% 104.21/104.32  ** KEPT (pick-wt=19): 225 [] -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).
% 104.21/104.32    Following clause subsumed by 101 during input processing: 0 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 104.21/104.32  ** KEPT (pick-wt=9): 226 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 104.21/104.32  ** KEPT (pick-wt=15): 227 [] c_Natural_Oevalc(A,B,C)|c_Natural_Oevalc(D,B,C)| -c_Natural_Oevalc(c_Com_Ocom_OCond(E,D,A),B,C).
% 104.21/104.32  ** KEPT (pick-wt=10): 228 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat).
% 104.21/104.32  ** KEPT (pick-wt=10): 229 [] c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 104.21/104.32  ** KEPT (pick-wt=7): 230 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,C,A)).
% 104.21/104.32  ** KEPT (pick-wt=7): 231 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,A,C)).
% 104.21/104.32    Following clause subsumed by 187 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 104.21/104.32  ** KEPT (pick-wt=10): 232 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 104.21/104.32  ** KEPT (pick-wt=16): 233 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatMost(A,C,D))).
% 104.21/104.32  ** KEPT (pick-wt=26): 234 [] 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)).
% 104.21/104.32    Following clause subsumed by 234 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)).
% 104.21/104.32  ** KEPT (pick-wt=22): 235 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=22): 236 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=18): 237 [] -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))).
% 104.21/104.32  ** KEPT (pick-wt=26): 238 [] 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.
% 104.21/104.32  ** KEPT (pick-wt=21): 239 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=29): 240 [] 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)).
% 104.21/104.32    Following clause subsumed by 240 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)).
% 104.21/104.32  ** KEPT (pick-wt=16): 241 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OgreaterThan(C,D,A)))| -hBOOL(hAPP(hAPP(C,D),B)).
% 104.21/104.32  ** KEPT (pick-wt=16): 242 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OgreaterThan(A,B,D))).
% 104.21/104.32  ** KEPT (pick-wt=29): 243 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=20): 244 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 104.21/104.32    Following clause subsumed by 244 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)).
% 104.21/104.32    Following clause subsumed by 244 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)).
% 104.21/104.32  ** KEPT (pick-wt=20): 245 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 104.21/104.32    Following clause subsumed by 245 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))).
% 104.21/104.32  ** KEPT (pick-wt=25): 246 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=25): 247 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=17): 248 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatLeastAtMost(A,E,C,D))).
% 104.21/104.32  ** KEPT (pick-wt=17): 249 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OatLeastAtMost(A,B,E,D))).
% 104.21/104.32  ** KEPT (pick-wt=19): 250 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=19): 251 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=21): 252 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=13): 253 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 104.21/104.32  ** KEPT (pick-wt=16): 254 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OlessThan(C,D,A)))| -hBOOL(hAPP(hAPP(C,B),D)).
% 104.21/104.32  ** KEPT (pick-wt=16): 255 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OlessThan(A,C,D))).
% 104.21/104.32  ** KEPT (pick-wt=29): 256 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=23): 257 [] 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)).
% 104.21/104.32    Following clause subsumed by 256 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)).
% 104.21/104.32    Following clause subsumed by 257 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)).
% 104.21/104.32  ** KEPT (pick-wt=18): 258 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatLeastLessThan(E,A,F,C,D))).
% 104.21/104.32  ** KEPT (pick-wt=18): 259 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OatLeastLessThan(A,E,B,F,D))).
% 104.21/104.32  ** KEPT (pick-wt=21): 260 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=18): 261 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=20): 262 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 104.21/104.32    Following clause subsumed by 262 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))).
% 104.21/104.32    Following clause subsumed by 262 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)).
% 104.21/104.32    Following clause subsumed by 262 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)).
% 104.21/104.32  ** KEPT (pick-wt=6): 263 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 104.21/104.32  ** KEPT (pick-wt=13): 264 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevalc(c_Com_Ocom_OWhile(A,D),B,C).
% 104.21/104.32  ** KEPT (pick-wt=7): 265 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 104.21/104.32  ** KEPT (pick-wt=7): 266 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 104.21/104.32  ** KEPT (pick-wt=8): 267 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 104.21/104.32  ** KEPT (pick-wt=5): 269 [copy,268,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 104.21/104.32  ** KEPT (pick-wt=8): 270 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 104.21/104.32  ** KEPT (pick-wt=7): 271 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 104.21/104.32  ** KEPT (pick-wt=8): 272 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 104.21/104.32  ** KEPT (pick-wt=7): 273 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 104.21/104.32  ** KEPT (pick-wt=8): 274 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 104.21/104.32  ** KEPT (pick-wt=6): 275 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 104.21/104.32    Following clause subsumed by 269 during input processing: 0 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 104.21/104.32  ** KEPT (pick-wt=20): 276 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=8): 277 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 104.21/104.32  ** KEPT (pick-wt=6): 278 [] c_Com_OWT(c_Com_Ocom_OWhile(A,B))| -c_Com_OWT(B).
% 104.21/104.32  ** KEPT (pick-wt=6): 279 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OWhile(B,A)).
% 104.21/104.32  ** KEPT (pick-wt=8): 280 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.21/104.32  ** KEPT (pick-wt=18): 281 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=14): 282 [] c_Natural_Oevaln(A,B,C,D)| -c_lesse_quals(E,C,tc_nat)| -c_Natural_Oevaln(A,B,E,D).
% 104.21/104.32  ** KEPT (pick-wt=17): 283 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(C,D,E,F)|hBOOL(hAPP(A,D)).
% 104.21/104.32  ** KEPT (pick-wt=17): 284 [] c_Natural_Oevaln(A,B,C,D)|hBOOL(hAPP(E,B))| -c_Natural_Oevaln(c_Com_Ocom_OCond(E,F,A),B,C,D).
% 104.21/104.32  ** KEPT (pick-wt=11): 285 [] c_Natural_Oevaln(A,B,c_Suc(C),D)| -c_Natural_Oevaln(A,B,C,D).
% 104.21/104.32  ** KEPT (pick-wt=21): 286 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=21): 287 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=17): 288 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)).
% 104.21/104.32  ** KEPT (pick-wt=17): 289 [] -hBOOL(hAPP(A,B))|c_Natural_Oevaln(C,B,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OCond(A,C,F),B,D,E).
% 104.21/104.32  ** KEPT (pick-wt=17): 290 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=8): 291 [] A=B| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,B,C,A).
% 104.21/104.32  ** KEPT (pick-wt=9): 292 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 104.21/104.32    Following clause subsumed by 292 during input processing: 0 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 104.21/104.32  ** KEPT (pick-wt=9): 293 [] c_Hoare__Mirabelle_Otriple__valid(A,B,C)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),B,C).
% 104.21/104.32  ** KEPT (pick-wt=26): 294 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=19): 295 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=18): 296 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=22): 297 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=23): 298 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(A,B,C,D,E),C,E)| -hBOOL(hAPP(A,D))| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),D,C,E).
% 104.21/104.32  ** KEPT (pick-wt=20): 299 [] c_Natural_Oevaln(A,B,C,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(D,A,C,B,E))|E=B| -c_Natural_Oevaln(c_Com_Ocom_OWhile(D,A),B,C,E).
% 104.21/104.32  ** KEPT (pick-wt=22): 300 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(A,B,C,D,E),C,E)|E=D| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),D,C,E).
% 104.21/104.32  ** KEPT (pick-wt=21): 301 [] c_Natural_Oevaln(A,B,C,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(D,A,C,B,E))| -hBOOL(hAPP(D,B))| -c_Natural_Oevaln(c_Com_Ocom_OWhile(D,A),B,C,E).
% 104.21/104.32  ** KEPT (pick-wt=25): 302 [] 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).
% 104.21/104.32  ** KEPT (pick-wt=22): 303 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=14): 304 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,D),B,E,C).
% 104.21/104.32  ** KEPT (pick-wt=11): 305 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(C,B)).
% 104.21/104.32  ** KEPT (pick-wt=11): 306 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),A)).
% 104.21/104.32  ** KEPT (pick-wt=23): 307 [] 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)).
% 104.21/104.32  ** KEPT (pick-wt=10): 308 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 104.21/104.32  ** KEPT (pick-wt=10): 309 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 104.21/104.32  ** KEPT (pick-wt=12): 310 [] c_Hoare__Mirabelle_Otriple__valid(v_n,A,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),A),v_G)).
% 104.21/104.32  ** KEPT (pick-wt=10): 311 [] hBOOL(hAPP(v_b,v_xa))| -hBOOL(hAPP(hAPP(v_P,v_xb),v_xa)).
% 104.21/104.32  ** KEPT (pick-wt=30): 312 [] hBOOL(hAPP(hAPP(v_P,A),B))| -c_Natural_Oevaln(v_c,C,D,B)| -hBOOL(hAPP(v_b,C))| -hBOOL(hAPP(hAPP(v_P,A),C))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_na(D)),v_G)).
% 104.21/104.32  ** KEPT (pick-wt=26): 313 [] hBOOL(hAPP(hAPP(v_P,A),B))| -c_Natural_Oevaln(v_c,C,D,B)| -hBOOL(hAPP(v_b,C))| -hBOOL(hAPP(hAPP(v_P,A),C))| -c_Hoare__Mirabelle_Otriple__valid(D,v_na(D),t_a).
% 104.21/104.32  ** KEPT (pick-wt=6): 314 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 104.21/104.32  ** KEPT (pick-wt=6): 315 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 104.21/104.32  ** KEPT (pick-wt=6): 316 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 104.21/104.32  ** KEPT (pick-wt=6): 317 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 104.21/104.32  ** KEPT (pick-wt=6): 318 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 104.21/104.32  ** KEPT (pick-wt=6): 319 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 104.21/104.32  ** KEPT (pick-wt=6): 320 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 104.21/104.33  ** KEPT (pick-wt=6): 321 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 104.21/104.33  ** KEPT (pick-wt=6): 322 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 104.21/104.33  ** KEPT (pick-wt=6): 323 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 104.21/104.33  ** KEPT (pick-wt=7): 324 [] A=B| -c_fe_qual(A,B,C).
% 104.21/104.33    Following clause subsumed by 86 during input processing: 0 [copy,3,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 104.21/104.33    Following clause subsumed by 116 during input processing: 0 [copy,4,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCall(B,C,D).
% 104.21/104.33    Following clause subsumed by 53 during input processing: 0 [copy,5,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 104.21/104.33    Following clause subsumed by 63 during input processing: 0 [copy,8,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 104.21/104.33    Following clause subsumed by 19 during input processing: 0 [copy,9,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 104.21/104.33    Following clause subsumed by 139 during input processing: 0 [copy,18,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 104.21/104.33    Following clause subsumed by 9 during input processing: 0 [copy,19,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 104.21/104.33    Following clause subsumed by 115 during input processing: 0 [copy,40,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D).
% 104.21/104.33    Following clause subsumed by 52 during input processing: 0 [copy,42,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C).
% 104.21/104.33    Following clause subsumed by 56 during input processing: 0 [copy,46,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 104.21/104.33    Following clause subsumed by 173 during input processing: 0 [copy,47,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 104.21/104.33    Following clause subsumed by 131 during input processing: 0 [copy,48,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 104.21/104.33    Following clause subsumed by 65 during input processing: 0 [copy,49,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 104.21/104.33    Following clause subsumed by 42 during input processing: 0 [copy,52,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C).
% 104.21/104.33    Following clause subsumed by 5 during input processing: 0 [copy,53,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 104.21/104.33    Following clause subsumed by 46 during input processing: 0 [copy,56,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.21/104.33    Following clause subsumed by 8 during input processing: 0 [copy,63,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 104.21/104.33    Following clause subsumed by 49 during input processing: 0 [copy,65,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 104.21/104.33    Following clause subsumed by 71 during input processing: 0 [copy,70,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 104.21/104.33    Following clause subsumed by 70 during input processing: 0 [copy,71,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 104.21/104.33    Following clause subsumed by 141 during input processing: 0 [copy,79,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 104.21/104.33    Following clause subsumed by 3 during input processing: 0 [copy,86,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 104.21/104.33    Following clause subsumed by 186 during input processing: 0 [copy,113,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 104.21/104.33    Following clause subsumed by 40 during input processing: 0 [copy,115,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D).
% 104.21/104.33    Following clause subsumed by 4 during input processing: 0 [copy,116,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OBODY(D).
% 104.21/104.33    Following clause subsumed by 226 during input processing: 0 [copy,117,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 104.21/104.33    Following clause subsumed by 48 during input processing: 0 [copy,131,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 104.21/104.33    Following clause subsumed by 18 during input processing: 0 [copy,139,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 104.21/104.33    Following clause subsumed by 79 during input processing: 0 [copy,141,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.21/104.33    Following clause subsumed by 47 during input processing: 0 [copy,173,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 104.21/104.33    Following clause subsumed by 113 during input processing: 0 [copy,186,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 104.21/104.33    Following clause subsumed by 117 during input processing: 0 [copy,226,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 104.21/104.33    Following clause subsumed by 275 during input processing: 0 [copy,263,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 104.21/104.33    Following clause subsumed by 273 during input processing: 0 [copy,265,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 104.21/104.33    Following clause subsumed by 271 during input processing: 0 [copy,266,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 104.21/104.33    Following clause subsumed by 277 during input processing: 0 [copy,267,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 104.21/104.33    Following clause subsumed by 274 during input processing: 0 [copy,270,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 104.21/104.33    Following clause subsumed by 266 during input processing: 0 [copy,271,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 104.21/104.33    Following clause subsumed by 280 during input processing: 0 [copy,272,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.21/104.33    Following clause subsumed by 265 during input processing: 0 [copy,273,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 104.21/104.33    Following clause subsumed by 270 during input processing: 0 [copy,274,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 104.21/104.33    Following clause subsumed by 263 during input processing: 0 [copy,275,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 104.21/104.33    Following clause subsumed by 267 during input processing: 0 [copy,277,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 104.21/104.33    Following clause subsumed by 272 during input processing: 0 [copy,280,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 104.21/104.33  
% 104.21/104.33  ------------> process sos:
% 104.21/104.33  ** KEPT (pick-wt=3): 369 [] A=A.
% 104.21/104.33  ** KEPT (pick-wt=8): 370 [] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 104.21/104.33  ---> New Demodulator: 371 [new_demod,370] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 104.21/104.33  ** KEPT (pick-wt=34): 373 [copy,372,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).
% 104.21/104.33  ---> New Demodulator: 374 [new_demod,373] 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).
% 104.21/104.33  ** KEPT (pick-wt=13): 375 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 104.21/104.33  ---> New Demodulator: 376 [new_demod,375] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 104.21/104.33  ** KEPT (pick-wt=28): 378 [copy,377,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)).
% 104.21/104.33  ---> New Demodulator: 379 [new_demod,378] 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)).
% 104.21/104.33  ** KEPT (pick-wt=28): 381 [copy,380,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)).
% 104.21/104.33  ---> New Demodulator: 382 [new_demod,381] 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)).
% 104.21/104.33  ** KEPT (pick-wt=9): 383 [] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 104.21/104.33  ---> New Demodulator: 384 [new_demod,383] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 104.21/104.33  ** KEPT (pick-wt=9): 385 [] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 104.21/104.33  ---> New Demodulator: 386 [new_demod,385] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 104.21/104.33  ** KEPT (pick-wt=8): 387 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 104.21/104.33  ---> New Demodulator: 388 [new_demod,387] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 104.21/104.33  ** KEPT (pick-wt=22): 389 [] 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).
% 104.21/104.33  ** KEPT (pick-wt=15): 390 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 104.21/104.33  ** KEPT (pick-wt=17): 391 [] 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.
% 104.21/104.33  ---> New Demodulator: 392 [new_demod,391] 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.
% 104.21/104.33  ** KEPT (pick-wt=15): 393 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 104.21/104.33  ** KEPT (pick-wt=6): 394 [] hAPP(c_COMBI(A),B)=B.
% 104.21/104.33  ---> New Demodulator: 395 [new_demod,394] hAPP(c_COMBI(A),B)=B.
% 104.21/104.33  ** KEPT (pick-wt=18): 396 [] 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)).
% 104.21/104.33  ---> New Demodulator: 397 [new_demod,396] 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)).
% 104.21/104.33  ** KEPT (pick-wt=19): 398 [] 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).
% 104.21/104.33    Following clause subsumed by 390 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).
% 104.21/104.33  ** KEPT (pick-wt=2): 399 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 104.21/104.33  ** KEPT (pick-wt=13): 400 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=4): 401 [] c_Com_OWT(c_Com_Ocom_OAss(A,B)).
% 104.21/104.33  ** KEPT (pick-wt=23): 402 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=23): 403 [] 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)).
% 104.21/104.33  ---> New Demodulator: 404 [new_demod,403] 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)).
% 104.21/104.33  ** KEPT (pick-wt=43): 406 [copy,405,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).
% 104.21/104.33  ---> New Demodulator: 407 [new_demod,406] 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).
% 104.21/104.33  ** KEPT (pick-wt=19): 409 [copy,408,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(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 104.21/104.33  ---> New Demodulator: 410 [new_demod,409] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 104.21/104.33  ** KEPT (pick-wt=19): 412 [copy,411,demod,410] 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)).
% 104.21/104.33  ** KEPT (pick-wt=25): 413 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=27): 414 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=27): 415 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=19): 416 [] 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))).
% 104.21/104.33  ** KEPT (pick-wt=22): 418 [copy,417,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)).
% 104.21/104.33  ---> New Demodulator: 419 [new_demod,418] 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)).
% 104.21/104.33  ** KEPT (pick-wt=12): 420 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 104.21/104.33  ---> New Demodulator: 421 [new_demod,420] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 104.21/104.33  ** KEPT (pick-wt=14): 422 [] 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)).
% 104.21/104.33  ---> New Demodulator: 423 [new_demod,422] 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)).
% 104.21/104.33  ** KEPT (pick-wt=14): 424 [] 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)).
% 104.21/104.33  ---> New Demodulator: 425 [new_demod,424] 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)).
% 104.21/104.33  ** KEPT (pick-wt=11): 426 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 104.21/104.33  ---> New Demodulator: 427 [new_demod,426] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 104.21/104.33  ** KEPT (pick-wt=11): 428 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 104.21/104.33  ** KEPT (pick-wt=14): 429 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 104.21/104.33  ---> New Demodulator: 430 [new_demod,429] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 104.21/104.33    Following clause subsumed by 369 during input processing: 0 [demod,430] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 104.21/104.33  ** KEPT (pick-wt=13): 431 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 104.21/104.33  ---> New Demodulator: 432 [new_demod,431] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A.
% 104.21/104.33  ** KEPT (pick-wt=8): 433 [] c_Set_Ovimage(c_COMBI(A),B,A,A)=B.
% 104.21/104.33  ---> New Demodulator: 434 [new_demod,433] c_Set_Ovimage(c_COMBI(A),B,A,A)=B.
% 104.21/104.33  ** KEPT (pick-wt=23): 435 [] 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)).
% 104.21/104.33  ---> New Demodulator: 436 [new_demod,435] 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)).
% 104.21/104.33  ** KEPT (pick-wt=23): 437 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=11): 438 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 104.21/104.33  ---> New Demodulator: 439 [new_demod,438] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 104.21/104.33  ** KEPT (pick-wt=11): 440 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 104.21/104.33  ---> New Demodulator: 441 [new_demod,440] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 104.21/104.33  ** KEPT (pick-wt=14): 442 [] 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)).
% 104.21/104.33  ---> New Demodulator: 443 [new_demod,442] 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)).
% 104.21/104.33  ** KEPT (pick-wt=17): 444 [] 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.
% 104.21/104.33  ---> New Demodulator: 445 [new_demod,444] 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.
% 104.21/104.33  ** KEPT (pick-wt=17): 446 [] 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.
% 104.21/104.33  ---> New Demodulator: 447 [new_demod,446] 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.
% 104.21/104.33  ** KEPT (pick-wt=28): 448 [] 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)).
% 104.21/104.33  ---> New Demodulator: 449 [new_demod,448] 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)).
% 104.21/104.33  ** KEPT (pick-wt=28): 450 [] 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)).
% 104.21/104.33  ---> New Demodulator: 451 [new_demod,450] 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)).
% 104.21/104.33  ** KEPT (pick-wt=28): 452 [] 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)).
% 104.21/104.33  ---> New Demodulator: 453 [new_demod,452] 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)).
% 104.21/104.33  ** KEPT (pick-wt=4): 454 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,A,A).
% 104.21/104.33  ** KEPT (pick-wt=18): 455 [] 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.
% 104.21/104.33  ---> New Demodulator: 456 [new_demod,455] 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.
% 104.21/104.33  ** KEPT (pick-wt=25): 457 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=13): 458 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=20): 459 [] 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).
% 104.21/104.33  ---> New Demodulator: 460 [new_demod,459] 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).
% 104.21/104.33  ** KEPT (pick-wt=53): 462 [copy,461,demod,404,436] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_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)).
% 104.21/104.33  ---> New Demodulator: 463 [new_demod,462] 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)).
% 104.21/104.33  ** KEPT (pick-wt=9): 464 [] c_lesse_quals(c_Suc(A),B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 104.21/104.33  ** KEPT (pick-wt=23): 465 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=23): 466 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=18): 467 [] 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)).
% 104.21/104.33  ---> New Demodulator: 468 [new_demod,467] 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)).
% 104.21/104.33  ** KEPT (pick-wt=18): 469 [] 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)).
% 104.21/104.33  ---> New Demodulator: 470 [new_demod,469] 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)).
% 104.21/104.33  ** KEPT (pick-wt=8): 471 [] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 104.21/104.33  ---> New Demodulator: 472 [new_demod,471] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 104.21/104.33  ** KEPT (pick-wt=28): 474 [copy,473,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)).
% 104.21/104.33  ---> New Demodulator: 475 [new_demod,474] 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)).
% 104.21/104.33  ** KEPT (pick-wt=19): 476 [] 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).
% 104.21/104.33  ** KEPT (pick-wt=20): 477 [] 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).
% 104.21/104.33  ---> New Demodulator: 478 [new_demod,477] 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).
% 104.21/104.33  ** KEPT (pick-wt=13): 479 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=8): 480 [] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 104.21/104.33  ---> New Demodulator: 481 [new_demod,480] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 104.21/104.33  ** KEPT (pick-wt=22): 482 [] 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).
% 104.21/104.33  ** KEPT (pick-wt=17): 483 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=6): 484 [] c_lesse_quals(c_Suc(A),c_Suc(A),tc_nat).
% 104.21/104.33  ** KEPT (pick-wt=18): 485 [] 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)).
% 104.21/104.33  ---> New Demodulator: 486 [new_demod,485] 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)).
% 104.21/104.33  ** KEPT (pick-wt=13): 487 [] 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).
% 104.21/104.33  ** KEPT (pick-wt=21): 489 [copy,488,demod,449] 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)).
% 104.21/104.33  ** KEPT (pick-wt=16): 490 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 104.21/104.33  ** KEPT (pick-wt=25): 491 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=19): 492 [] 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).
% 104.21/104.33  ** KEPT (pick-wt=26): 494 [copy,493,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)).
% 104.21/104.33  ** KEPT (pick-wt=24): 495 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=6): 496 [] hAPP(c_Fun_Oid(A),B)=B.
% 104.21/104.33  ---> New Demodulator: 497 [new_demod,496] hAPP(c_Fun_Oid(A),B)=B.
% 104.21/104.33  ** KEPT (pick-wt=46): 499 [copy,498,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).
% 104.21/104.33  ---> New Demodulator: 500 [new_demod,499] 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).
% 104.21/104.33  ** KEPT (pick-wt=25): 501 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=10): 502 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 104.21/104.33    Following clause subsumed by 502 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 104.21/104.33    Following clause subsumed by 502 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 104.21/104.33  ** KEPT (pick-wt=22): 503 [] 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).
% 104.21/104.33  ** KEPT (pick-wt=19): 505 [copy,504,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).
% 104.21/104.33  ---> New Demodulator: 506 [new_demod,505] 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).
% 104.21/104.33  ** KEPT (pick-wt=14): 507 [] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 104.21/104.33  ---> New Demodulator: 508 [new_demod,507] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 104.21/104.33  ** KEPT (pick-wt=23): 510 [copy,509,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).
% 104.21/104.33  ---> New Demodulator: 511 [new_demod,510] 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).
% 104.21/104.33  ** KEPT (pick-wt=21): 512 [] 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).
% 104.21/104.33  ** KEPT (pick-wt=28): 513 [] 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)).
% 104.21/104.33  ---> New Demodulator: 514 [new_demod,513] 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)).
% 104.21/104.33  ** KEPT (pick-wt=28): 515 [] 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)).
% 104.21/104.33  ---> New Demodulator: 516 [new_demod,515] 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)).
% 104.21/104.33  ** KEPT (pick-wt=7): 517 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 104.21/104.33  ** KEPT (pick-wt=18): 518 [] 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)).
% 104.21/104.33  ---> New Demodulator: 519 [new_demod,518] 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)).
% 104.21/104.33  ** KEPT (pick-wt=9): 520 [] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 104.21/104.33  ---> New Demodulator: 521 [new_demod,520] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 104.21/104.33  ** KEPT (pick-wt=9): 522 [] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 104.21/104.33  ---> New Demodulator: 523 [new_demod,522] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 104.21/104.33  ** KEPT (pick-wt=20): 524 [] 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).
% 104.21/104.33  ---> New Demodulator: 525 [new_demod,524] 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).
% 104.21/104.33  ** KEPT (pick-wt=8): 526 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 104.21/104.33  ---> New Demodulator: 527 [new_demod,526] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 104.21/104.33  ** KEPT (pick-wt=4): 528 [] c_lesse_quals(A,A,tc_nat).
% 104.21/104.33    Following clause subsumed by 528 during input processing: 0 [] c_lesse_quals(A,A,tc_nat).
% 104.21/104.33  ** KEPT (pick-wt=16): 529 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 104.21/104.33  ** KEPT (pick-wt=38): 531 [copy,530,demod,449,451,527,451,453] 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)).
% 104.21/104.33  ** KEPT (pick-wt=28): 533 [copy,532,demod,449,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)).
% 104.21/104.33  ---> New Demodulator: 534 [new_demod,533] 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)).
% 104.21/104.33    Following clause subsumed by 502 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))).
% 104.21/104.33  ** KEPT (pick-wt=22): 535 [] 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).
% 104.21/104.33  ** KEPT (pick-wt=29): 536 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=28): 538 [copy,537,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)).
% 104.21/104.33  ---> New Demodulator: 539 [new_demod,538] 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)).
% 104.21/104.33  ** KEPT (pick-wt=31): 540 [] 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)).
% 104.21/104.33    Following clause subsumed by 369 during input processing: 0 [demod,388] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.21/104.33  ** KEPT (pick-wt=25): 541 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=13): 542 [] 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)).
% 104.21/104.33  ** KEPT (pick-wt=23): 543 [] 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).
% 104.21/104.33  ---> New Demodulator: 544 [new_demod,543] 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).
% 104.21/104.33  ** KEPT (pick-wt=8): 545 [] c_lesse_quals(A,B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=38): 546 [] hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),A),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),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))).
% 104.21/104.34  ---> New Demodulator: 547 [new_demod,546] hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),A),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),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))).
% 104.21/104.34  ** KEPT (pick-wt=38): 548 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),A),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),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))).
% 104.21/104.34  ---> New Demodulator: 549 [new_demod,548] hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),A),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),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))).
% 104.21/104.34    Following clause subsumed by 369 during input processing: 0 [demod,430] hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 104.21/104.34    Following clause subsumed by 369 during input processing: 0 [demod,497] v_x=v_x.
% 104.21/104.34    Following clause subsumed by 369 during input processing: 0 [demod,508] hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 104.21/104.34  ** KEPT (pick-wt=19): 550 [] 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).
% 104.21/104.34  ** KEPT (pick-wt=10): 551 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),C,C)|hBOOL(hAPP(A,C)).
% 104.21/104.34  ** KEPT (pick-wt=31): 553 [copy,552,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).
% 104.21/104.34  ---> New Demodulator: 554 [new_demod,553] 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).
% 104.21/104.34  ** KEPT (pick-wt=5): 555 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,A,B,A).
% 104.21/104.34    Following clause subsumed by 369 during input processing: 0 [demod,395] v_P=v_P.
% 104.21/104.34  ** KEPT (pick-wt=16): 557 [copy,556,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).
% 104.21/104.34  ---> New Demodulator: 558 [new_demod,557] 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).
% 104.21/104.34  ** KEPT (pick-wt=11): 559 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,C)|hBOOL(hAPP(A,C)).
% 104.21/104.34  ** KEPT (pick-wt=7): 560 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),v_x,v_n,v_xa).
% 104.21/104.34  ** KEPT (pick-wt=6): 561 [] hBOOL(hAPP(hAPP(v_P,v_xb),v_x)).
% 104.21/104.34  ** KEPT (pick-wt=2): 562 [] class_Lattices_Oupper__semilattice(tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=2): 563 [] class_Lattices_Olower__semilattice(tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=2): 564 [] class_Lattices_Odistrib__lattice(tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=2): 565 [] class_Orderings_Opreorder(tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=2): 566 [] class_Orderings_Olinorder(tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=2): 567 [] class_Lattices_Olattice(tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=2): 568 [] class_Orderings_Oorder(tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=2): 569 [] class_Orderings_Obot(tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=2): 570 [] class_HOL_Ominus(tc_nat).
% 104.21/104.34  ** KEPT (pick-wt=2): 571 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=2): 572 [] class_Lattices_Oupper__semilattice(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=2): 573 [] class_Lattices_Olower__semilattice(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=2): 574 [] class_Lattices_Odistrib__lattice(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=2): 575 [] class_Lattices_Obounded__lattice(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=2): 576 [] class_Orderings_Opreorder(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=2): 577 [] class_Lattices_Olattice(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=2): 578 [] class_Orderings_Oorder(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=2): 579 [] class_Orderings_Obot(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=2): 580 [] class_HOL_Ominus(tc_bool).
% 104.21/104.34  ** KEPT (pick-wt=4): 581 [] c_fe_qual(A,A,B).
% 104.21/104.34    Following clause subsumed by 369 during input processing: 0 [copy,369,flip.1] A=A.
% 104.21/104.34  369 back subsumes 354.
% 104.21/104.34  369 back subsumes 332.
% 104.21/104.34  369 back subsumes 331.
% 104.21/104.34  369 back subsumes 330.
% 104.21/104.34  >>>> Starting back demodulation with 371.
% 104.21/104.34  >>>> Starting back demodulation with 374.
% 104.21/104.34  >>>> Starting back demodulation with 376.
% 104.21/104.34  >>>> Starting back demodulation with 379.
% 104.21/104.34  >>>> Starting back demodulation with 382.
% 104.21/104.34  >>>> Starting back demodulation with 384.
% 104.21/104.34  >>>> Starting back demodulation with 386.
% 104.21/104.34      >> back demodulating 125 with 386.
% 104.21/104.34  >>>> Starting back demodulation with 388.
% 104.21/104.34      >> back demodulating 340 with 388.
% 104.21/104.34      >> back demodulating 327 with 388.
% 104.21/104.34  ** KEPT (pick-wt=22): 583 [copy,389,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).
% 104.21/104.34    Following clause subsumed by 390 during input processing: 0 [copy,390,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 104.21/104.34  >>>> Starting back demodulation with 392.
% 104.21/104.34  ** KEPT (pick-wt=15): 584 [copy,393,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(c_COMBC(A,D,E,F),C),B).
% 104.21/104.34  >>>> Starting back demodulation with 395.
% 104.21/104.34  >>>> Starting back demodulation with 397.
% 104.21/104.34  ** KEPT (pick-wt=19): 585 [copy,398,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).
% 104.21/104.34    Following clause subsumed by 487 during input processing: 0 [copy,400,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).
% 104.21/104.34    Following clause subsumed by 402 during input processing: 0 [copy,402,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)).
% 104.21/104.34  >>>> Starting back demodulation with 404.
% 104.21/104.34  >>>> Starting back demodulation with 407.
% 104.21/104.34  >>>> Starting back demodulation with 410.
% 104.21/104.34  ** KEPT (pick-wt=19): 586 [copy,412,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)).
% 104.21/104.34  ** KEPT (pick-wt=25): 587 [copy,413,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).
% 104.21/104.34  ** KEPT (pick-wt=27): 588 [copy,414,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)).
% 104.21/104.34  ** KEPT (pick-wt=27): 589 [copy,415,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)).
% 104.21/104.34  >>>> Starting back demodulation with 419.
% 104.21/104.34      >> back demodulating 177 with 419.
% 104.21/104.34      >> back demodulating 175 with 419.
% 104.21/104.34  >>>> Starting back demodulation with 421.
% 104.21/104.34      >> back demodulating 336 with 421.
% 104.21/104.34      >> back demodulating 335 with 421.
% 104.21/104.34      >> back demodulating 334 with 421.
% 104.21/104.34      >> back demodulating 333 with 421.
% 104.21/104.34  >>>> Starting back demodulation with 423.
% 104.21/104.34  >>>> Starting back demodulation with 425.
% 104.21/104.34  >>>> Starting back demodulation with 427.
% 104.21/104.34  ** KEPT (pick-wt=11): 596 [copy,428,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 104.21/104.34  >>>> Starting back demodulation with 430.
% 104.21/104.34      >> back demodulating 220 with 430.
% 104.21/104.34  >>>> Starting back demodulation with 432.
% 104.21/104.34  >>>> Starting back demodulation with 434.
% 104.21/104.34  >>>> Starting back demodulation with 436.
% 104.21/104.34    Following clause subsumed by 437 during input processing: 0 [copy,437,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)).
% 104.21/104.34  >>>> Starting back demodulation with 439.
% 104.21/104.34  >>>> Starting back demodulation with 441.
% 104.21/104.34  >>>> Starting back demodulation with 443.
% 104.21/104.34  >>>> Starting back demodulation with 445.
% 104.21/104.34  >>>> Starting back demodulation with 447.
% 104.21/104.34  >>>> Starting back demodulation with 449.
% 104.21/104.34  >>>> Starting back demodulation with 451.
% 104.21/104.34  >>>> Starting back demodulation with 453.
% 104.21/104.34      >> back demodulating 450 with 453.
% 104.21/104.34  >>>> Starting back demodulation with 456.
% 104.21/104.34  ** KEPT (pick-wt=25): 599 [copy,457,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)).
% 104.21/104.34    Following clause subsumed by 458 during input processing: 0 [copy,458,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)).
% 104.21/104.34  >>>> Starting back demodulation with 460.
% 104.21/104.34      >> back demodulating 204 with 460.
% 104.21/104.34  >>>> Starting back demodulation with 463.
% 104.21/104.34  >>>> Starting back demodulation with 468.
% 104.21/104.34  >>>> Starting back demodulation with 470.
% 104.21/104.34  >>>> Starting back demodulation with 472.
% 104.21/104.34  >>>> Starting back demodulation with 475.
% 104.21/104.34  ** KEPT (pick-wt=19): 600 [copy,476,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).
% 104.21/104.34  >>>> Starting back demodulation with 478.
% 104.21/104.34    Following clause subsumed by 479 during input processing: 0 [copy,479,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)).
% 104.21/104.34  >>>> Starting back demodulation with 481.
% 104.21/104.34  ** KEPT (pick-wt=22): 601 [copy,482,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).
% 104.21/104.34  ** KEPT (pick-wt=17): 602 [copy,483,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).
% 104.21/104.34  >>>> Starting back demodulation with 486.
% 104.21/104.34    Following clause subsumed by 400 during input processing: 0 [copy,487,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)).
% 104.21/104.34  ** KEPT (pick-wt=16): 603 [copy,489,flip.1,demod,527] 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)).
% 104.21/104.34  ** KEPT (pick-wt=16): 604 [copy,490,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__case(C,D,E,F,G,H,A,I,c_Com_Ocom_OBODY(B),J).
% 104.21/104.34  ** KEPT (pick-wt=25): 605 [copy,491,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).
% 104.21/104.34  ** KEPT (pick-wt=19): 606 [copy,492,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).
% 104.21/104.34  >>>> Starting back demodulation with 497.
% 104.21/104.34  >>>> Starting back demodulation with 500.
% 104.21/104.34  ** KEPT (pick-wt=25): 607 [copy,501,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).
% 104.21/104.34  ** KEPT (pick-wt=22): 608 [copy,503,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).
% 104.21/104.34  >>>> Starting back demodulation with 506.
% 104.21/104.34      >> back demodulating 120 with 506.
% 104.21/104.34  >>>> Starting back demodulation with 508.
% 104.21/104.34  >>>> Starting back demodulation with 511.
% 104.21/104.34  ** KEPT (pick-wt=21): 610 [copy,512,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).
% 104.21/104.34  >>>> Starting back demodulation with 514.
% 104.21/104.34      >> back demodulating 462 with 514.
% 104.21/104.34      >> back demodulating 455 with 514.
% 104.21/104.34      >> back demodulating 381 with 514.
% 104.21/104.34      >> back demodulating 378 with 514.
% 104.21/104.34  >>>> Starting back demodulation with 516.
% 104.21/104.34  >>>> Starting back demodulation with 519.
% 104.21/104.34  >>>> Starting back demodulation with 521.
% 104.21/104.34  >>>> Starting back demodulation with 523.
% 104.21/104.34  >>>> Starting back demodulation with 525.
% 104.21/104.34  >>>> Starting back demodulation with 527.
% 104.21/104.34      >> back demodulating 489 with 527.
% 104.21/104.34      >> back demodulating 351 with 527.
% 104.21/104.34      >> back demodulating 337 with 527.
% 104.21/104.34      >> back demodulating 329 with 527.
% 104.21/104.34  528 back subsumes 484.
% 104.21/104.34  ** KEPT (pick-wt=16): 621 [copy,529,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__rec(C,D,E,F,G,H,A,I,c_Com_Ocom_OBODY(B),J).
% 104.21/104.34  ** KEPT (pick-wt=38): 622 [copy,531,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)).
% 104.21/104.34  >>>> Starting back demodulation with 534.
% 104.21/104.34      >> back demodulating 448 with 534.
% 104.21/104.34  ** KEPT (pick-wt=22): 625 [copy,535,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).
% 104.21/104.34  ** KEPT (pick-wt=29): 626 [copy,536,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).
% 104.21/104.34  >>>> Starting back demodulation with 539.
% 104.21/104.34  ** KEPT (pick-wt=31): 627 [copy,540,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)).
% 104.21/104.34  ** KEPT (pick-wt=25): 628 [copy,541,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).
% 104.21/104.34  ** KEPT (pick-wt=13): 629 [copy,542,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).
% 104.21/104.34  >>>> Starting back demodulation with 544.
% 104.21/104.34  >>>> Starting back demodulation with 547.
% 104.21/104.34  >>>> Starting back demodulation with 549.
% 104.21/104.34  ** KEPT (pick-wt=19): 630 [copy,550,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).
% 104.21/104.34  >>>> Starting back demodulation with 554.
% 104.21/104.34  >>>> Starting back demodulation with 558.
% 104.21/104.34    Following clause subsumed by 389 during input processing: 0 [copy,583,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).
% 104.21/104.34    Following clause subsumed by 393 during input processing: 0 [copy,584,flip.1] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 104.21/104.34    Following clause subsumed by 398 during input processing: 0 [copy,585,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).
% 104.21/104.34    Following clause subsumed by 412 during input processing: 0 [copy,586,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)).
% 104.21/104.34    Following clause subsumed by 413 during input processing: 0 [copy,587,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)).
% 104.21/104.34    Following clause subsumed by 414 during input processing: 0 [copy,588,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)).
% 104.21/104.34    Following clause subsumed by 415 during input processing: 0 [copy,589,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)).
% 104.21/104.34    Following clause subsumed by 428 during input processing: 0 [copy,596,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 104.21/104.34  >>>> Starting back demodulation with 598.
% 104.21/104.34    Following clause subsumed by 457 during input processing: 0 [copy,599,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)).
% 104.21/104.34    Following clause subsumed by 476 during input processing: 0 [copy,600,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).
% 104.21/104.34    Following clause subsumed by 482 during input processing: 0 [copy,601,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).
% 104.21/104.34    Following clause subsumed by 483 during input processing: 0 [copy,602,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)).
% 104.21/104.34    Following clause subsumed by 619 during input processing: 0 [copy,603,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)).
% 104.21/104.34    Following clause subsumed by 490 during input processing: 0 [copy,604,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 104.21/104.34    Following clause subsumed by 491 during input processing: 0 [copy,605,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)).
% 104.21/104.34    Following clause subsumed by 492 during input processing: 0 [copy,606,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).
% 104.21/104.34    Following clause subsumed by 501 during input processing: 0 [copy,607,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)).
% 104.21/104.34    Following clause subsumed by 503 during input processing: 0 [copy,608,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).
% 104.21/104.34    Following clause subsumed by 512 during input processing: 0 [copy,610,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).
% 104.21/104.34  >>>> Starting back demodulation with 612.
% 104.21/104.34  >>>> Starting back demodulation with 614.
% 104.21/104.34  >>>> Starting back demodulation with 616.
% 104.21/104.34  >>>> Starting back demodulation with 618.
% 104.21/104.34    Following clause subsumed by 603 during input processing: 0 [copy,619,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)).
% 104.21/104.34    Following clause subsumed by 529 during input processing: 0 [copy,621,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 104.21/104.34    Following clause subsumed by 531 during input processing: 0 [copy,622,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)).
% 104.21/104.34  >>>> Starting back demodulation with 624.
% 104.21/104.34    Following clause subsumed by 535 during input processing: 0 [copy,625,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).
% 104.21/104.34    Following clause subsumed by 536 during input processing: 0 [copy,626,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)).
% 104.73/104.85    Following clause subsumed by 540 during input processing: 0 [copy,627,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)).
% 104.73/104.85    Following clause subsumed by 541 during input processing: 0 [copy,628,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)).
% 104.73/104.85    Following clause subsumed by 542 during input processing: 0 [copy,629,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)).
% 104.73/104.85    Following clause subsumed by 550 during input processing: 0 [copy,630,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).
% 104.73/104.85  
% 104.73/104.85  ======= end of input processing =======
% 104.73/104.85  
% 104.73/104.85  =========== start of search ===========
% 104.73/104.85  
% 104.73/104.85  
% 104.73/104.85  Resetting weight limit to 2.
% 104.73/104.85  
% 104.73/104.85  
% 104.73/104.85  Resetting weight limit to 2.
% 104.73/104.85  
% 104.73/104.85  sos_size=168
% 104.73/104.85  
% 104.73/104.85  Search stopped in tp_alloc by max_mem option.
% 104.73/104.85  
% 104.73/104.85  Search stopped in tp_alloc by max_mem option.
% 104.73/104.85  
% 104.73/104.85  ============ end of search ============
% 104.73/104.85  
% 104.73/104.85  -------------- statistics -------------
% 104.73/104.85  clauses given                139
% 104.73/104.85  clauses generated          44045
% 104.73/104.85  clauses kept                 535
% 104.73/104.85  clauses forward subsumed     132
% 104.73/104.85  clauses back subsumed          5
% 104.73/104.85  Kbytes malloced            11718
% 104.73/104.85  
% 104.73/104.85  ----------- times (seconds) -----------
% 104.73/104.85  user CPU time          0.58          (0 hr, 0 min, 0 sec)
% 104.73/104.85  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 104.73/104.85  wall-clock time      104             (0 hr, 1 min, 44 sec)
% 104.73/104.85  
% 104.73/104.85  Process 9852 finished Wed Jul 27 05:59:07 2022
% 104.73/104.85  Otter interrupted
% 104.73/104.85  PROOF NOT FOUND
%------------------------------------------------------------------------------