%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SCT059-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n009.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 13:12:27 EDT 2022

% Result   : Unknown 183.12s 183.22s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SCT059-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 09:00:51 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 182.99/183.18  ----- Otter 3.3f, August 2004 -----
% 182.99/183.18  The process was started by sandbox on n009.cluster.edu,
% 182.99/183.18  Wed Jul 27 09:00:51 2022
% 182.99/183.18  The command was "./otter".  The process ID is 4645.
% 182.99/183.18  
% 182.99/183.18  set(prolog_style_variables).
% 182.99/183.18  set(auto).
% 182.99/183.18     dependent: set(auto1).
% 182.99/183.18     dependent: set(process_input).
% 182.99/183.18     dependent: clear(print_kept).
% 182.99/183.18     dependent: clear(print_new_demod).
% 182.99/183.18     dependent: clear(print_back_demod).
% 182.99/183.18     dependent: clear(print_back_sub).
% 182.99/183.18     dependent: set(control_memory).
% 182.99/183.18     dependent: assign(max_mem, 12000).
% 182.99/183.18     dependent: assign(pick_given_ratio, 4).
% 182.99/183.18     dependent: assign(stats_level, 1).
% 182.99/183.18     dependent: assign(max_seconds, 10800).
% 182.99/183.18  clear(print_given).
% 182.99/183.18  
% 182.99/183.18  list(usable).
% 182.99/183.18  0 [] A=A.
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a).
% 182.99/183.18  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 182.99/183.18  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).
% 182.99/183.18  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).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 182.99/183.18  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 182.99/183.18  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).
% 182.99/183.18  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).
% 182.99/183.18  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 182.99/183.18  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 182.99/183.18  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(V_s,T_a)| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 182.99/183.18  0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Wellfounded_Oacyclic(V_s,T_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 182.99/183.18  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)).
% 182.99/183.18  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  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)).
% 182.99/183.18  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b,V_A,T_a,T_a),T_a)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b,V_A,T_a,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 182.99/183.18  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 182.99/183.18  0 [] V_b=V_a| -hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 182.99/183.18  0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)| -hBOOL(c_in(V_i,V_A,T_a)).
% 182.99/183.18  0 [] c_lesse_quals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_a,V_A,T_a)).
% 182.99/183.18  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 182.99/183.18  0 [] c_lesse_quals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_I,T_b))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 182.99/183.18  0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),T_a).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)),T_a).
% 182.99/183.18  0 [] c_Set_Oinsert(V_a,V_A,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_A).
% 182.99/183.18  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).
% 182.99/183.18  0 [] c_lesse_quals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),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)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B)=V_B.
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 182.99/183.18  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=V_c|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 182.99/183.18  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(V_sup,V_B),hAPP(V_Sup,V_A))=c_Finite__Set_Ofold(V_sup,V_B,V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 182.99/183.18  0 [] hAPP(hAPP(V_inf,V_B),hAPP(V_Inf,V_A))=c_Finite__Set_Ofold(V_inf,V_B,V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 182.99/183.18  0 [] hAPP(V_Sup,V_A)=c_Finite__Set_Ofold(V_sup,V_bot,V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 182.99/183.18  0 [] hAPP(V_Inf,V_A)=c_Finite__Set_Ofold(V_inf,V_top,V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 182.99/183.18  0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  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).
% 182.99/183.18  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).
% 182.99/183.18  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).
% 182.99/183.18  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).
% 182.99/183.18  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(V_R,T_a)),c_Transitive__Closure_Ortrancl(V_S,T_a)),c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_R),V_S),T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(V_f,V_x),c_Finite__Set_Ofold(V_f,V_z,V_A,T_a,T_b))=c_Finite__Set_Ofold(V_f,hAPP(hAPP(V_f,V_x),V_z),V_A,T_a,T_b)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofun__left__comm(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_lesse_quals(c_Relation_Orel__comp(V_r,V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Otrans(V_r,T_a).
% 182.99/183.18  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a).
% 182.99/183.18  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofold(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=V_z.
% 182.99/183.18  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 182.99/183.18  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.
% 182.99/183.18  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.
% 182.99/183.18  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.
% 182.99/183.18  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.
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 182.99/183.18  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).
% 182.99/183.18  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).
% 182.99/183.18  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).
% 182.99/183.18  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=V_B.
% 182.99/183.18  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x.
% 182.99/183.18  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x.
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 182.99/183.18  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=c_Orderings_Obot__class_Obot(T_a).
% 182.99/183.18  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a).
% 182.99/183.18  0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 182.99/183.18  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 182.99/183.18  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  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)).
% 182.99/183.18  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).
% 182.99/183.18  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))| -c_lesse_quals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool))| -c_lesse_quals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 182.99/183.18  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).
% 182.99/183.18  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)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 182.99/183.18  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Ortrancl(V_S,T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a)| -c_lesse_quals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 182.99/183.18  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.
% 182.99/183.18  0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 182.99/183.18  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 182.99/183.18  0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a).
% 182.99/183.18  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).
% 182.99/183.18  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 182.99/183.18  0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 182.99/183.18  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 182.99/183.18  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 182.99/183.18  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 182.99/183.18  0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b,V_A,T_a,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b,V_A,T_a,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 182.99/183.18  0 [] hAPP(V_f,V_a)=V_b| -hBOOL(c_in(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),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(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),T_aa)).
% 182.99/183.18  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 182.99/183.18  0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_c,V_A,T_b)).
% 182.99/183.18  0 [] c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),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)).
% 182.99/183.18  0 [] c_Finite__Set_Ofold(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),T_a,T_b)=hAPP(hAPP(V_f,V_x),c_Finite__Set_Ofold(V_f,V_z,V_A,T_a,T_b))| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Finite__Set_Ofold(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),T_a,T_b)=c_Finite__Set_Ofold(V_f,hAPP(hAPP(V_f,V_x),V_z),V_A,T_a,T_b)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))| -c_Fun_Osurj(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Obij(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))| -c_Fun_Obij(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_lesse_quals(V_r,c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_lesse_quals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Otrancl(V_r,T_a)),V_s),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 182.99/183.18  0 [] c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Otrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),c_Relation_OId(T_a)),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a).
% 182.99/183.18  0 [] c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a)=c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a).
% 182.99/183.18  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),c_Relation_OId(T_a)),T_a).
% 182.99/183.18  0 [] c_Relation_Oantisym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),c_Relation_OId(T_a)),T_a)| -c_Relation_Oantisym(V_r,T_a).
% 182.99/183.18  0 [] hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_y),V_z))=hAPP(hAPP(V_f,V_y),hAPP(hAPP(V_f,V_x),V_z))| -c_Finite__Set_Ofun__left__comm(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_R),c_Relation_OId(T_a)),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 182.99/183.18  0 [] c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)| -c_Relation_Osym(V_r,T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Otrancl(V_r,T_a)),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C)=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),T_a).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a).
% 182.99/183.18  0 [] c_Fun_Ocomp(c_Fun_Ocomp(V_f,c_Record_Oiso__tuple__snd(V_isom,T_a,T_b,T_c),T_c,T_d,T_a),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_e),V_g),T_a,T_d,T_a)=c_Fun_Ocomp(c_Fun_Oid(T_d),c_Fun_Ocomp(V_f,c_Record_Oiso__tuple__snd(V_isom,T_a,T_b,T_c),T_c,T_d,T_a),T_d,T_d,T_a)| -c_Record_Oisomorphic__tuple(V_isom,T_a,T_b,T_c).
% 182.99/183.18  0 [] c_Fun_Ocomp(c_Fun_Ocomp(V_f,c_Record_Oiso__tuple__fst(V_isom,T_a,T_b,T_c),T_b,T_d,T_a),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_e),V_g),T_a,T_d,T_a)=c_Fun_Ocomp(c_Fun_Oid(T_d),c_Fun_Ocomp(V_f,c_Record_Oiso__tuple__fst(V_isom,T_a,T_b,T_c),T_b,T_d,T_a),T_d,T_d,T_a)| -c_Record_Oisomorphic__tuple(V_isom,T_a,T_b,T_c).
% 182.99/183.18  0 [] c_Fun_Ocomp(V_f,hAPP(V_h,V_g),T_b,T_d,T_b)!=c_Fun_Ocomp(V_j,V_f,T_d,T_d,T_b)| -c_Record_Oisomorphic__tuple(V_isom,T_a,T_b,T_c)|c_Fun_Ocomp(c_Fun_Ocomp(V_f,c_Record_Oiso__tuple__fst(V_isom,T_a,T_b,T_c),T_b,T_d,T_a),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_e),V_g),T_a,T_d,T_a)=c_Fun_Ocomp(V_j,c_Fun_Ocomp(V_f,c_Record_Oiso__tuple__fst(V_isom,T_a,T_b,T_c),T_b,T_d,T_a),T_d,T_d,T_a).
% 182.99/183.18  0 [] c_Fun_Ocomp(V_f,hAPP(V_h,V_g),T_c,T_d,T_c)!=c_Fun_Ocomp(V_j,V_f,T_d,T_d,T_c)| -c_Record_Oisomorphic__tuple(V_isom,T_a,T_b,T_c)|c_Fun_Ocomp(c_Fun_Ocomp(V_f,c_Record_Oiso__tuple__snd(V_isom,T_a,T_b,T_c),T_c,T_d,T_a),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_e),V_g),T_a,T_d,T_a)=c_Fun_Ocomp(V_j,c_Fun_Ocomp(V_f,c_Record_Oiso__tuple__snd(V_isom,T_a,T_b,T_c),T_c,T_d,T_a),T_d,T_d,T_a).
% 182.99/183.18  0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(V_r,T_a)),V_s),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 182.99/183.18  0 [] c_lesse_quals(c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Otrans(V_r,T_a)| -c_Relation_Osym(V_r,T_a).
% 182.99/183.18  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b))).
% 182.99/183.18  0 [] c_Finite__Set_Ofold(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),T_a,T_b)=c_Finite__Set_Ofold(V_f,hAPP(hAPP(V_f,V_x),V_z),V_A,T_a,T_b)|hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofun__left__comm(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Finite__Set_Ofold(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),T_a,T_b)=hAPP(hAPP(V_f,V_x),c_Finite__Set_Ofold(V_f,V_z,V_A,T_a,T_b))|hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofun__left__comm(V_f,T_a,T_b).
% 182.99/183.18  0 [] hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)))|hBOOL(c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)))| -hBOOL(c_in(hAPP(V_f,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b)).
% 182.99/183.18  0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Finite__Set_Ofinite(V_r,tc_prod(T_a,T_a)).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_r,tc_prod(T_a,T_a))| -c_Finite__Set_Ofinite(c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 182.99/183.18  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 182.99/183.18  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)).
% 182.99/183.18  0 [] c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Order__Relation_Opartial__order__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_Fun_Oswap(V_a,V_b,c_Fun_Oswap(V_a,V_b,V_f,T_a,T_b),T_a,T_b)=V_f.
% 182.99/183.18  0 [] c_Fun_Oswap(V_a,V_b,V_f,T_a,T_b)=c_Fun_Oswap(V_b,V_a,V_f,T_a,T_b).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 182.99/183.18  0 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Ortrancl(V_r,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Otrancl(V_r,T_a)),c_Relation_OId(T_a)).
% 182.99/183.18  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).
% 182.99/183.18  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(V_R,T_a)),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 182.99/183.18  0 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 182.99/183.18  0 [] c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)| -c_Relation_Oantisym(V_r,T_a)| -c_Order__Relation_Opreorder__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] hAPP(V_F,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F,V_i))!=hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F,V_i),V_i)|c_Arrow__Order__Mirabelle_Odictator(V_F,V_i).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 182.99/183.18  0 [] c_Fun_Oswap(V_a,V_b,c_Fun_Oswap(V_b,V_c,c_Fun_Oswap(V_a,V_b,V_f,T_a,T_b),T_a,T_b),T_a,T_b)=c_Fun_Oswap(V_a,V_c,V_f,T_a,T_b)|V_b=V_c|V_a=V_c.
% 182.99/183.18  0 [] c_Fun_Obij(c_Fun_Oid(T_a),T_a,T_a).
% 182.99/183.18  0 [] c_Order__Relation_Opreorder__on(V_A,V_r,T_a)| -c_Order__Relation_Opartial__order__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 182.99/183.18  0 [] c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a).
% 182.99/183.18  0 [] c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b)=V_R.
% 182.99/183.18  0 [] c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b)=V_R.
% 182.99/183.18  0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(c_Relation_OField(V_r,T_a),T_a)| -c_Finite__Set_Ofinite(V_r,tc_prod(T_a,T_a)).
% 182.99/183.18  0 [] c_Product__Type_Oapsnd(V_f,c_Product__Type_Oapfst(V_g,V_p,T_d,T_a,T_c),T_c,T_b,T_a)=c_Product__Type_Oapfst(V_g,c_Product__Type_Oapsnd(V_f,V_p,T_c,T_b,T_d),T_d,T_a,T_b).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)|hBOOL(c_in(V_a,V_A,T_a)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)|hBOOL(c_in(V_a,V_C,T_a)).
% 182.99/183.18  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_Fun_Ocomp(V_g,V_f,T_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(V_f,V_A,T_b,T_c),V_g,T_c,tc_fun(T_a,tc_bool)).
% 182.99/183.18  0 [] c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_c),tc_bool)),V_S),V_T),V_R,T_a,T_c,T_b)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_bool)),c_Relation_Orel__comp(V_S,V_R,T_a,T_c,T_b)),c_Relation_Orel__comp(V_T,V_R,T_a,T_c,T_b)).
% 182.99/183.18  0 [] c_Relation_Orel__comp(V_R,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_bool)),V_S),V_T),T_a,T_c,T_b)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_bool)),c_Relation_Orel__comp(V_R,V_S,T_a,T_c,T_b)),c_Relation_Orel__comp(V_R,V_T,T_a,T_c,T_b)).
% 182.99/183.18  0 [] c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a).
% 182.99/183.18  0 [] c_Relation_OField(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),V_s),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Relation_OField(V_r,T_a)),c_Relation_OField(V_s,T_a)).
% 182.99/183.18  0 [] c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a)=V_A.
% 182.99/183.18  0 [] c_Relation_Osym(c_Relation_OId(T_a),T_a).
% 182.99/183.18  0 [] hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)))| -c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_a,T_b),T_a)| -c_Finite__Set_Ofinite(V_F,T_b)| -c_Fun_Obij(V_h,T_a,T_b).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_F,T_b)| -c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_a,T_b),T_a)| -c_Fun_Obij(V_h,T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Osurj(c_Fun_Oswap(V_a,V_b,V_f,T_a,T_b),T_a,T_b)| -c_Fun_Osurj(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Osurj(V_f,T_a,T_b)| -c_Fun_Osurj(c_Fun_Oswap(V_a,V_b,V_f,T_a,T_b),T_a,T_b).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 182.99/183.18  0 [] c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a)=V_Y.
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 182.99/183.18  0 [] c_Fun_Osurj(c_Fun_Oid(T_a),T_a,T_a).
% 182.99/183.18  0 [] c_Relation_Osym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),hAPP(c_Relation_Oconverse(T_a,T_a),V_r)),T_a).
% 182.99/183.18  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 182.99/183.18  0 [] c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)).
% 182.99/183.18  0 [] c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(V_R,T_a)),c_Transitive__Closure_Ortrancl(V_S,T_a)),T_a)=c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_R),V_S),T_a).
% 182.99/183.18  0 [] hAPP(V_upd,c_Fun_Oid(T_a))=c_Fun_Oid(T_b)| -c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_b).
% 182.99/183.18  0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 182.99/183.18  0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 182.99/183.18  0 [] c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b)!=V_f|hAPP(V_f,V_x)=V_y.
% 182.99/183.18  0 [] c_Relation_Osym(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),V_s),T_a)| -c_Relation_Osym(V_s,T_a)| -c_Relation_Osym(V_r,T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=V_r| -c_Relation_Otrans(V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 182.99/183.18  0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x.
% 182.99/183.18  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a)).
% 182.99/183.18  0 [] c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 182.99/183.18  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a),T_a))| -hBOOL(hAPP(hAPP(V_less,V_i),V_u))| -hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i)).
% 182.99/183.18  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a),T_a))| -hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i)).
% 182.99/183.18  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 182.99/183.18  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(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 182.99/183.18  0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 182.99/183.18  0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 182.99/183.18  0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))| -hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)).
% 182.99/183.18  0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)).
% 182.99/183.18  0 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a).
% 182.99/183.18  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a))=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a).
% 182.99/183.18  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).
% 182.99/183.18  0 [] c_Fun_Oswap(V_a,V_a,V_f,T_a,T_b)=V_f.
% 182.99/183.18  0 [] c_Relation_Orel__comp(c_Relation_Orel__comp(V_R,V_S,T_a,T_d,T_c),V_T,T_a,T_c,T_b)=c_Relation_Orel__comp(V_R,c_Relation_Orel__comp(V_S,V_T,T_d,T_c,T_b),T_a,T_d,T_b).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)| -c_Finite__Set_Ofinite(V_A,T_a).
% 182.99/183.18  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 182.99/183.18  0 [] c_Relation_Osym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),V_s),T_a)| -c_Relation_Osym(V_s,T_a)| -c_Relation_Osym(V_r,T_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_F,T_b)| -c_Fun_Osurj(V_h,T_a,T_b)| -c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_a,T_b),T_a).
% 182.99/183.18  0 [] hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x)=V_c.
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 182.99/183.18  0 [] c_Relation_Otrans(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)| -c_Relation_Otrans(V_r,T_a).
% 182.99/183.18  0 [] c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_d),V_f),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_j,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_e),V_g),T_a,T_a,T_a)=c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_j,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_e),V_g),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_d),V_f),T_a,T_a,T_a)| -c_Record_Oisomorphic__tuple(V_isom,T_a,T_b,T_c).
% 182.99/183.18  0 [] hAPP(hAPP(V_upd,c_COMBK(hAPP(V_f,hAPP(V_acc,V_va)),T_a,T_a)),V_va)=hAPP(hAPP(V_upd,V_f),V_va)| -c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_b).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 182.99/183.18  0 [] c_Relation_Oantisym(c_Relation_OId(T_a),T_a).
% 182.99/183.18  0 [] c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a,T_b)=V_A| -c_Fun_Osurj(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)|V_a=V_c.
% 182.99/183.18  0 [] c_Relation_Otrans(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),c_Relation_OId(T_a)),T_a)| -c_Relation_Otrans(V_r,T_a).
% 182.99/183.18  0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 182.99/183.18  0 [] c_Transitive__Closure_Ortrancl(V_r,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Relation_OId(T_a)),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a)).
% 182.99/183.18  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Order__Relation_Opartial__order__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Orefl__on(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),V_s),T_a)| -c_Relation_Orefl__on(V_B,V_s,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 182.99/183.18  0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x.
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 182.99/183.18  0 [] c_Relation_Otrans(c_Relation_OId(T_a),T_a).
% 182.99/183.18  0 [] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 182.99/183.18  0 [] c_Fun_Osurj(V_f,T_a,T_b)| -c_Fun_Obij(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b)=c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b).
% 182.99/183.18  0 [] c_Relation_Otrans(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),V_s),T_a)| -c_Relation_Otrans(V_s,T_a)| -c_Relation_Otrans(V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Wellfounded_Oacyclic(V_r,T_a).
% 182.99/183.18  0 [] c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)| -c_Order__Relation_Olinear__order__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=V_x.
% 182.99/183.18  0 [] hAPP(V_f,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b))!=hAPP(V_g,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b))| -hBOOL(c_in(V_g,c_FuncSet_Oextensional(V_A,T_a,T_b),tc_fun(T_a,T_b)))| -hBOOL(c_in(V_f,c_FuncSet_Oextensional(V_A,T_a,T_b),tc_fun(T_a,T_b)))|V_f=V_g.
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=V_x.
% 182.99/183.18  0 [] c_Relation_Orefl__on(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),V_s),T_a)| -c_Relation_Orefl__on(V_B,V_s,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 182.99/183.18  0 [] c_Relation_Otrans(V_r,T_a)| -c_Order__Relation_Opreorder__on(V_A,V_r,T_a).
% 182.99/183.18  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))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))).
% 182.99/183.18  0 [] c_Fun_Obij(V_f,T_a,T_b)| -c_Fun_Obij(c_Fun_Oswap(V_a,V_b,V_f,T_a,T_b),T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Obij(c_Fun_Oswap(V_a,V_b,V_f,T_a,T_b),T_a,T_b)| -c_Fun_Obij(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Oswap(V_a,V_b,V_f,T_a,T_b)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_a,hAPP(V_f,V_b),T_a,T_b),V_b,hAPP(V_f,V_a),T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a)=V_f.
% 182.99/183.18  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x)=V_y.
% 182.99/183.18  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b)=V_f.
% 182.99/183.18  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x)=V_y.
% 182.99/183.18  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a)=V_f.
% 182.99/183.18  0 [] hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(c_in(V_xa,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,V_B,T_a)).
% 182.99/183.18  0 [] c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Order__Relation_Olinear__order__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] hAPP(hAPP(V_upd,c_Fun_Oid(T_a)),V_v)=V_v| -c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_b).
% 182.99/183.18  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).
% 182.99/183.18  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).
% 182.99/183.18  0 [] hAPP(V_f,hAPP(V_acc,V_x))!=hAPP(V_f_H,hAPP(V_acc,V_x))| -c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_aa)|hAPP(hAPP(V_upd,V_f),V_x)=hAPP(hAPP(V_upd,V_f_H),V_x).
% 182.99/183.18  0 [] hAPP(V_f,hAPP(V_acc,V_x))!=hAPP(V_acc,V_x)| -c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_b)|hAPP(hAPP(V_upd,V_f),V_x)=V_x.
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C)=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),T_a)| -hBOOL(c_in(V_a,V_C,T_a)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)| -hBOOL(c_in(V_a,V_A,T_a)).
% 182.99/183.18  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).
% 182.99/183.18  0 [] c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a)=c_Set_Oimage(V_f,V_A,T_b,T_a)|hBOOL(c_in(V_x,V_A,T_b)).
% 182.99/183.18  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)).
% 182.99/183.18  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 182.99/183.18  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B).
% 182.99/183.18  0 [] hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z))=hAPP(hAPP(V_f,V_x),V_z)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)=V_B| -c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b).
% 182.99/183.18  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x.
% 182.99/183.18  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 182.99/183.18  0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 182.99/183.18  0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Order__Relation_Opreorder__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a).
% 182.99/183.18  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))).
% 182.99/183.18  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)).
% 182.99/183.18  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))).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 182.99/183.18  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 182.99/183.18  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 182.99/183.18  0 [] c_Relation_Osym(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r),hAPP(c_Relation_Oconverse(T_a,T_a),V_r)),T_a).
% 182.99/183.18  0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)).
% 182.99/183.18  0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 182.99/183.18  0 [] c_Order__Relation_Opreorder__on(V_A,V_r,T_a)| -c_Relation_Otrans(V_r,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 182.99/183.18  0 [] c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_d),V_f),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_j,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_e),V_g),T_a,T_a,T_a)=c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_j,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_e),V_g),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_d),V_f),T_a,T_a,T_a)| -c_Record_Oisomorphic__tuple(V_isom,T_a,T_b,T_c).
% 182.99/183.18  0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a),T_a)).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i))| -hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a),T_a)).
% 182.99/183.18  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(c_in(V_x,V_B,T_a)).
% 182.99/183.18  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(c_in(V_xa,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a),V_A,T_a))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_i,c_SetInterval_Oord_OlessThan(V_less,V_k,T_a),T_a))| -hBOOL(hAPP(hAPP(V_less,V_i),V_k)).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(V_less,V_i),V_k))| -hBOOL(c_in(V_i,c_SetInterval_Oord_OlessThan(V_less,V_k,T_a),T_a)).
% 182.99/183.18  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(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  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(c_in(V_a,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(V_less,V_i),V_u))| -hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a),T_a)).
% 182.99/183.18  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i))| -hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a),V_A,T_a))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  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(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)).
% 182.99/183.18  0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 182.99/183.18  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)))|hBOOL(c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)))|hBOOL(c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a)).
% 182.99/183.18  0 [] hAPP(V_f,V_x)=c_HOL_Oundefined(T_b)|hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_f,c_FuncSet_Oextensional(V_A,T_a,T_b),tc_fun(T_a,T_b))).
% 182.99/183.18  0 [] hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)))| -hBOOL(c_in(hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)),T_b)).
% 182.99/183.18  0 [] V_f=V_g|hBOOL(c_in(c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b),V_A,T_a))| -hBOOL(c_in(V_g,c_FuncSet_Oextensional(V_A,T_a,T_b),tc_fun(T_a,T_b)))| -hBOOL(c_in(V_f,c_FuncSet_Oextensional(V_A,T_a,T_b),tc_fun(T_a,T_b))).
% 182.99/183.18  0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_b))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b))).
% 182.99/183.18  0 [] hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)))| -hBOOL(c_in(hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)),T_b)).
% 182.99/183.18  0 [] c_Fun_Ocomp(hAPP(V_f,V_x),hAPP(V_f,V_x),T_b,T_b,T_b)=hAPP(V_f,V_x)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Product__Type_Oapfst(V_f,c_Product__Type_Oapfst(V_g,V_x,T_d,T_c,T_b),T_c,T_a,T_b)=c_Product__Type_Oapfst(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_d),V_x,T_d,T_a,T_b).
% 182.99/183.18  0 [] hAPP(V_f,hAPP(V_acc,V_x))!=hAPP(V_acc,V_x)| -c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_b)|hAPP(hAPP(V_upd,c_Fun_Ocomp(V_g,V_f,T_a,T_a,T_a)),V_x)=hAPP(hAPP(V_upd,V_g),V_x).
% 182.99/183.18  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).
% 182.99/183.18  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)).
% 182.99/183.18  0 [] c_Fun_Obij__betw(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,V_C,T_a,T_c)| -c_Fun_Obij__betw(V_g,V_B,V_C,T_b,T_c)| -c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b).
% 182.99/183.18  0 [] c_Option_Omap(V_f,c_Option_Omap(V_g,V_opt,T_c,T_b),T_b,T_a)=c_Option_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_opt,T_c,T_a).
% 182.99/183.18  0 [] c_Fun_Ocomp(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b,T_b)=c_Fun_Ocomp(hAPP(V_f,V_y),hAPP(V_f,V_x),T_b,T_b,T_b)| -c_Finite__Set_Ofun__left__comm(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Osurj(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),T_a,T_c)| -c_Fun_Osurj(V_g,T_b,T_c)| -c_Fun_Osurj(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Obij(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),T_a,T_c)| -c_Fun_Obij(V_g,T_b,T_c)| -c_Fun_Obij(V_f,T_a,T_b).
% 182.99/183.18  0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f.
% 182.99/183.18  0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g.
% 182.99/183.18  0 [] c_Fun_Ocomp(V_f,c_Fun_Ofun__upd(V_g,V_x,V_y,T_a,T_c),T_c,T_b,T_a)=c_Fun_Ofun__upd(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_a),V_x,hAPP(V_f,V_y),T_a,T_b).
% 182.99/183.18  0 [] c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a)=c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a).
% 182.99/183.18  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).
% 182.99/183.18  0 [] c_Product__Type_Oapsnd(V_f,c_Product__Type_Oapsnd(V_g,V_x,T_d,T_c,T_a),T_c,T_b,T_a)=c_Product__Type_Oapsnd(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_x,T_d,T_b,T_a).
% 182.99/183.18  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).
% 182.99/183.18  0 [] c_Fun_Ocomp(V_f,c_Fun_Oswap(V_a,V_b,V_g,T_a,T_c),T_c,T_b,T_a)=c_Fun_Oswap(V_a,V_b,c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_a),T_a,T_b).
% 182.99/183.18  0 [] c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)| -c_Order__Relation_Opartial__order__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 182.99/183.18  0 [] c_Order__Relation_Opartial__order__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Order__Relation_Opartial__order__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Ototal__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Relation_Ototal__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 182.99/183.18  0 [] c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)| -c_Order__Relation_Olinear__order__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 182.99/183.18  0 [] c_Order__Relation_Olinear__order__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Order__Relation_Olinear__order__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_bool)),V_r),V_s))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_bool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s)).
% 182.99/183.18  0 [] c_Order__Relation_Opreorder__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Order__Relation_Opreorder__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_Order__Relation_Opreorder__on(V_A,V_r,T_a)| -c_Order__Relation_Opreorder__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)=hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a)).
% 182.99/183.18  0 [] c_Wellfounded_Oacyclic(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Wellfounded_Oacyclic(V_r,T_a).
% 182.99/183.18  0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -c_Wellfounded_Oacyclic(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 182.99/183.18  0 [] c_Relation_Oantisym(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Oantisym(V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 182.99/183.18  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(V_A,T_a))=c_Relation_OId__on(V_A,T_a).
% 182.99/183.18  0 [] c_Transitive__Closure_Otrancl(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)=hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a)).
% 182.99/183.18  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_Oinv__image(V_R,V_f,T_b,T_a))=c_Relation_Oinv__image(hAPP(c_Relation_Oconverse(T_b,T_b),V_R),V_f,T_b,T_a).
% 182.99/183.18  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a))=c_Relation_OId(T_a).
% 182.99/183.18  0 [] c_Relation_Otrans(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Otrans(V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Otrans(V_r,T_a)| -c_Relation_Otrans(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 182.99/183.18  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a))=c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(T_c,T_a),V_s),hAPP(c_Relation_Oconverse(T_b,T_c),V_r),T_a,T_c,T_b).
% 182.99/183.18  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),V_r)!=V_r|c_Relation_Osym(V_r,T_a).
% 182.99/183.18  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),V_r)=V_r| -c_Relation_Osym(V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Orefl__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Relation_Orefl__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 182.99/183.18  0 [] c_Relation_OField(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)=c_Relation_OField(V_r,T_a).
% 182.99/183.18  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_bool)),V_r),V_s))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_bool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s)).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(hAPP(c_Relation_Oconverse(T_b,T_a),V_r),tc_prod(T_a,T_b))| -c_Finite__Set_Ofinite(V_r,tc_prod(T_b,T_a)).
% 182.99/183.18  0 [] c_Finite__Set_Ofinite(V_r,tc_prod(T_b,T_a))| -c_Finite__Set_Ofinite(hAPP(c_Relation_Oconverse(T_b,T_a),V_r),tc_prod(T_a,T_b)).
% 182.99/183.18  0 [] c_Relation_Osym(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Osym(V_r,T_a).
% 182.99/183.18  0 [] c_Relation_Osym(V_r,T_a)| -c_Relation_Osym(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 182.99/183.18  0 [] c_Fun_Ocomp(hAPP(V_h,V_f),hAPP(V_j,V_g),T_c,T_c,T_c)!=c_Fun_Ocomp(hAPP(V_j,V_g),hAPP(V_h,V_f),T_c,T_c,T_c)| -c_Record_Oisomorphic__tuple(V_isom,T_a,T_b,T_c)|c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_d),V_f),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_j,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_e),V_g),T_a,T_a,T_a)=c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_j,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_e),V_g),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_c,T_c),tc_fun(T_a,T_a),T_d),V_f),T_a,T_a,T_a).
% 182.99/183.18  0 [] c_Fun_Ocomp(hAPP(V_h,V_f),hAPP(V_j,V_g),T_b,T_b,T_b)!=c_Fun_Ocomp(hAPP(V_j,V_g),hAPP(V_h,V_f),T_b,T_b,T_b)| -c_Record_Oisomorphic__tuple(V_isom,T_a,T_b,T_c)|c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_d),V_f),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_j,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_e),V_g),T_a,T_a,T_a)=c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_j,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_e),V_g),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(V_isom,T_a,T_b,T_c),V_h,tc_fun(T_b,T_b),tc_fun(T_a,T_a),T_d),V_f),T_a,T_a,T_a).
% 182.99/183.18  0 [] c_Arrow__Order__Mirabelle_OIIA(V_F)|hBOOL(c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(V_F),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 182.99/183.18  0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_F)|hBOOL(c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(V_F),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 182.99/183.18  0 [] c_Arrow__Order__Mirabelle_Odictator(V_F,V_i)|hBOOL(c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F,V_i),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 182.99/183.18  0 [] c_Arrow__Order__Mirabelle_OIIA(V_F)|hBOOL(c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(V_F),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 182.99/183.18  0 [] hBOOL(c_in(hAPP(V_f,V_x),hAPP(V_B,V_x),T_b))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b))).
% 182.99/183.18  0 [] -hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(hAPP(V_f,V_x),hAPP(V_B,V_x),T_b))| -hBOOL(c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b))).
% 182.99/183.18  0 [] hBOOL(c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 182.99/183.18  0 [] hAPP(V_F,V_x)=hAPP(V_x,V_i)| -hBOOL(c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))| -c_Arrow__Order__Mirabelle_Odictator(V_F,V_i).
% 182.99/183.18  0 [] hBOOL(c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 182.99/183.18  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).
% 182.99/183.18  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)).
% 182.99/183.18  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).
% 182.99/183.18  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r))=V_r.
% 182.99/183.18  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).
% 182.99/183.18  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)).
% 182.99/183.18  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 182.99/183.18  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 182.99/183.18  0 [] hBOOL(c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 182.99/183.18  0 [] -hBOOL(c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 182.99/183.18  0 [] class_Finite__Set_Ofinite_Ofinite(tc_prod(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 182.99/183.18  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 182.99/183.18  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 182.99/183.18  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 182.99/183.18  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 182.99/183.18  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 182.99/183.18  0 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 182.99/183.18  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 182.99/183.18  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 182.99/183.18  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 182.99/183.18  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 182.99/183.18  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 182.99/183.18  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 182.99/183.18  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 182.99/183.18  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 182.99/183.18  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 182.99/183.18  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 182.99/183.18  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 182.99/183.18  0 [] class_Orderings_Opreorder(tc_bool).
% 182.99/183.18  0 [] class_Lattices_Olattice(tc_bool).
% 182.99/183.18  0 [] class_Orderings_Oorder(tc_bool).
% 182.99/183.18  0 [] class_Orderings_Obot(tc_bool).
% 182.99/183.18  0 [] class_HOL_Oord(tc_bool).
% 182.99/183.18  0 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1).
% 182.99/183.18  0 [] c_fe_qual(V_x,V_x,T_a).
% 182.99/183.18  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 182.99/183.18  end_of_list.
% 182.99/183.18  
% 182.99/183.18  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 182.99/183.18  
% 182.99/183.18  This ia a non-Horn set with equality.  The strategy will be
% 182.99/183.18  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 182.99/183.18  deletion, with positive clauses in sos and nonpositive
% 182.99/183.18  clauses in usable.
% 182.99/183.18  
% 182.99/183.18     dependent: set(knuth_bendix).
% 182.99/183.18     dependent: set(anl_eq).
% 182.99/183.18     dependent: set(para_from).
% 182.99/183.18     dependent: set(para_into).
% 182.99/183.18     dependent: clear(para_from_right).
% 182.99/183.18     dependent: clear(para_into_right).
% 182.99/183.18     dependent: set(para_from_vars).
% 182.99/183.18     dependent: set(eq_units_both_ways).
% 182.99/183.18     dependent: set(dynamic_demod_all).
% 182.99/183.18     dependent: set(dynamic_demod).
% 182.99/183.18     dependent: set(order_eq).
% 182.99/183.18     dependent: set(back_demod).
% 182.99/183.18     dependent: set(lrpo).
% 182.99/183.18     dependent: set(hyper_res).
% 182.99/183.18     dependent: set(unit_deletion).
% 182.99/183.18     dependent: set(factor).
% 182.99/183.18  
% 182.99/183.18  ------------> process usable:
% 182.99/183.18  ** KEPT (pick-wt=11): 1 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 182.99/183.18  ** KEPT (pick-wt=11): 2 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 182.99/183.18  ** KEPT (pick-wt=19): 3 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 182.99/183.18    Following clause subsumed by 3 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 182.99/183.18    Following clause subsumed by 3 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 182.99/183.18  ** KEPT (pick-wt=11): 4 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 182.99/183.18  ** KEPT (pick-wt=11): 5 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 182.99/183.18  ** KEPT (pick-wt=25): 6 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 182.99/183.18    Following clause subsumed by 6 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 182.99/183.18  ** KEPT (pick-wt=18): 7 [] c_lesse_quals(c_Relation_OField(A,B),c_Relation_OField(C,B),tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 182.99/183.18  ** KEPT (pick-wt=18): 8 [] 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).
% 182.99/183.18  ** KEPT (pick-wt=18): 9 [] 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).
% 182.99/183.18  ** KEPT (pick-wt=15): 10 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 182.99/183.18  ** KEPT (pick-wt=15): 11 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 182.99/183.18  ** KEPT (pick-wt=15): 12 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,D,A).
% 182.99/183.18  ** KEPT (pick-wt=15): 13 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,C,A).
% 182.99/183.18    Following clause subsumed by 10 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 182.99/183.18    Following clause subsumed by 11 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 182.99/183.18  ** KEPT (pick-wt=19): 14 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),A),D),B,tc_fun(C,tc_bool)).
% 182.99/183.18  ** KEPT (pick-wt=19): 15 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),A),B,tc_fun(C,tc_bool)).
% 182.99/183.18  ** KEPT (pick-wt=14): 16 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 182.99/183.18  ** KEPT (pick-wt=14): 17 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 182.99/183.18  ** KEPT (pick-wt=18): 18 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 182.99/183.18  ** KEPT (pick-wt=14): 19 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 182.99/183.18  ** KEPT (pick-wt=6): 20 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 182.99/183.19  ** KEPT (pick-wt=6): 21 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 182.99/183.19  ** KEPT (pick-wt=14): 22 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(C,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=12): 23 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 182.99/183.19    Following clause subsumed by 19 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 182.99/183.19  ** KEPT (pick-wt=14): 24 [] c_Wellfounded_Oacyclic(A,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool))| -c_Wellfounded_Oacyclic(C,B).
% 182.99/183.19    Following clause subsumed by 23 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 182.99/183.19  ** KEPT (pick-wt=16): 25 [] 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)).
% 182.99/183.19  ** KEPT (pick-wt=32): 26 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=27): 27 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=20): 28 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 182.99/183.19    Following clause subsumed by 28 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=18): 29 [] c_lesse_quals(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=10): 30 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 182.99/183.19  ** KEPT (pick-wt=25): 31 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),C,D,A,A),A)| -hBOOL(c_in(B,D,A))| -c_Finite__Set_Ofinite(D,A).
% 182.99/183.19  ** KEPT (pick-wt=25): 32 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),B,C,A,A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),B),A)| -hBOOL(c_in(D,C,A))| -c_Finite__Set_Ofinite(C,A).
% 182.99/183.19  ** KEPT (pick-wt=20): 33 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 182.99/183.19  ** KEPT (pick-wt=20): 34 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 182.99/183.19    Following clause subsumed by 33 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 182.99/183.19    Following clause subsumed by 34 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 182.99/183.19  ** KEPT (pick-wt=14): 35 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=14): 36 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 182.99/183.19  ** KEPT (pick-wt=14): 37 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 182.99/183.19  ** KEPT (pick-wt=20): 38 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 182.99/183.19  ** KEPT (pick-wt=22): 39 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=23): 40 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=17): 41 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(hAPP(B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A),A)| -hBOOL(c_in(C,D,E)).
% 182.99/183.19  ** KEPT (pick-wt=19): 42 [] c_lesse_quals(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 182.99/183.19  ** KEPT (pick-wt=25): 43 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(c_in(E,A,C)).
% 182.99/183.19  ** KEPT (pick-wt=25): 44 [] c_lesse_quals(hAPP(A,B),C,tc_fun(D,tc_bool))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,A,F,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=25): 45 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(c_in(E,B,D)).
% 182.99/183.19  ** KEPT (pick-wt=16): 46 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,c_Set_Oimage(C,D,E,B),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(D,E).
% 182.99/183.19  ** KEPT (pick-wt=31): 47 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)),A).
% 182.99/183.19  ** KEPT (pick-wt=31): 48 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),A).
% 182.99/183.19  ** KEPT (pick-wt=37): 49 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))|c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=37): 50 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))| -c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=18): 51 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=27): 52 [] hAPP(hAPP(A,B),hAPP(C,D))=c_Finite__Set_Ofold(A,B,D,E,E)| -c_Finite__Set_Ofinite(D,E)| -c_Complete__Lattice_Ocomplete__lattice(F,C,G,H,I,A,J,K,E).
% 182.99/183.19  ** KEPT (pick-wt=27): 53 [] hAPP(hAPP(A,B),hAPP(C,D))=c_Finite__Set_Ofold(A,B,D,E,E)| -c_Finite__Set_Ofinite(D,E)| -c_Complete__Lattice_Ocomplete__lattice(C,F,G,H,A,I,J,K,E).
% 182.99/183.19  ** KEPT (pick-wt=23): 54 [] hAPP(A,B)=c_Finite__Set_Ofold(C,D,B,E,E)| -c_Finite__Set_Ofinite(B,E)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,C,D,J,E).
% 182.99/183.19  ** KEPT (pick-wt=23): 55 [] hAPP(A,B)=c_Finite__Set_Ofold(C,D,B,E,E)| -c_Finite__Set_Ofinite(B,E)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,C,I,J,D,E).
% 182.99/183.19  ** KEPT (pick-wt=28): 56 [] 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).
% 182.99/183.19  ** KEPT (pick-wt=28): 57 [] 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).
% 182.99/183.19  ** KEPT (pick-wt=21): 58 [] 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).
% 182.99/183.19  ** KEPT (pick-wt=21): 59 [] 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).
% 182.99/183.19  ** KEPT (pick-wt=28): 60 [] hAPP(hAPP(A,B),c_Finite__Set_Ofold(A,C,D,E,F))=c_Finite__Set_Ofold(A,hAPP(hAPP(A,B),C),D,E,F)| -c_Finite__Set_Ofinite(D,E)| -c_Finite__Set_Ofun__left__comm(A,E,F).
% 182.99/183.19  ** KEPT (pick-wt=16): 61 [] c_lesse_quals(c_Relation_Orel__comp(A,A,B,B,B),A,tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Otrans(A,B).
% 182.99/183.19  ** KEPT (pick-wt=32): 62 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=9): 63 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 182.99/183.19  ** KEPT (pick-wt=15): 64 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=22): 65 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=27): 66 [] 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.
% 182.99/183.19  ** KEPT (pick-wt=27): 67 [] 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.
% 182.99/183.19  ** KEPT (pick-wt=27): 68 [] 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.
% 182.99/183.19  ** KEPT (pick-wt=27): 69 [] 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.
% 182.99/183.19  ** KEPT (pick-wt=16): 70 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=C|c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=16): 71 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=16): 72 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=14): 73 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -c_lesse_quals(B,C,A).
% 182.99/183.19  ** KEPT (pick-wt=14): 74 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|c_lesse_quals(B,C,A).
% 182.99/183.19  ** KEPT (pick-wt=14): 75 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -c_lesse_quals(C,B,A).
% 182.99/183.19  ** KEPT (pick-wt=13): 76 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 182.99/183.19    Following clause subsumed by 76 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 182.99/183.19    Following clause subsumed by 76 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 182.99/183.19  ** KEPT (pick-wt=15): 77 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 182.99/183.19    Following clause subsumed by 77 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=7): 78 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 182.99/183.19  ** KEPT (pick-wt=11): 79 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 182.99/183.19  ** KEPT (pick-wt=11): 80 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 182.99/183.19  ** KEPT (pick-wt=12): 81 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Obot__class_Obot(A)),B)=c_Orderings_Obot__class_Obot(A).
% 182.99/183.19  ** KEPT (pick-wt=12): 82 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Obot__class_Obot(A))=c_Orderings_Obot__class_Obot(A).
% 182.99/183.19  ** KEPT (pick-wt=20): 83 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=9): 84 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=7): 85 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 182.99/183.19  ** KEPT (pick-wt=16): 86 [] 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)).
% 182.99/183.19  ** KEPT (pick-wt=11): 87 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 182.99/183.19  ** KEPT (pick-wt=15): 88 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=15): 89 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=34): 90 [] c_lesse_quals(c_Relation_Orel__comp(A,B,C,D,E),c_Relation_Orel__comp(F,G,C,D,E),tc_fun(tc_prod(C,E),tc_bool))| -c_lesse_quals(B,G,tc_fun(tc_prod(D,E),tc_bool))| -c_lesse_quals(A,F,tc_fun(tc_prod(C,D),tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=16): 91 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=16): 92 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=14): 93 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -c_lesse_quals(B,C,A).
% 182.99/183.19  ** KEPT (pick-wt=14): 94 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|c_lesse_quals(B,C,A).
% 182.99/183.19  ** KEPT (pick-wt=14): 95 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -c_lesse_quals(C,B,A).
% 182.99/183.19  ** KEPT (pick-wt=25): 96 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 182.99/183.19    Following clause subsumed by 96 during input processing: 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=19): 97 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 182.99/183.19  ** KEPT (pick-wt=11): 98 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 182.99/183.19  ** KEPT (pick-wt=11): 99 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 182.99/183.19    Following clause subsumed by 97 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 182.99/183.19    Following clause subsumed by 97 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 182.99/183.19  ** KEPT (pick-wt=11): 100 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 182.99/183.19  ** KEPT (pick-wt=11): 101 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 182.99/183.19  ** KEPT (pick-wt=25): 102 [] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(C,B)| -c_lesse_quals(A,c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(C,A,tc_fun(tc_prod(B,B),tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=18): 103 [] 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.
% 182.99/183.19  ** KEPT (pick-wt=20): 104 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(D,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=19): 105 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=19): 106 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=15): 107 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 182.99/183.19  ** KEPT (pick-wt=15): 108 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 182.99/183.19  ** KEPT (pick-wt=19): 109 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=19): 110 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=15): 111 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 182.99/183.19  ** KEPT (pick-wt=15): 112 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 182.99/183.19  ** KEPT (pick-wt=15): 113 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(B,D,A).
% 182.99/183.19  ** KEPT (pick-wt=15): 114 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(C,D,A).
% 182.99/183.19    Following clause subsumed by 111 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 182.99/183.19    Following clause subsumed by 112 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 182.99/183.19  ** KEPT (pick-wt=16): 115 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 182.99/183.19  ** KEPT (pick-wt=16): 116 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 182.99/183.19    Following clause subsumed by 116 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 182.99/183.19    Following clause subsumed by 116 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 182.99/183.19    Following clause subsumed by 116 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=8): 117 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 182.99/183.19    Following clause subsumed by 117 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 182.99/183.19    Following clause subsumed by 117 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 182.99/183.19    Following clause subsumed by 117 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 182.99/183.19    Following clause subsumed by 117 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 182.99/183.19  ** KEPT (pick-wt=28): 119 [copy,118,flip.2] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),C,D,A,A))=c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),C,c_Set_Oinsert(B,D,A),A,A)| -c_Finite__Set_Ofinite(D,A).
% 182.99/183.19  ** KEPT (pick-wt=28): 121 [copy,120,flip.2] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),C,D,A,A))=c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),C,c_Set_Oinsert(B,D,A),A,A)| -c_Finite__Set_Ofinite(D,A).
% 182.99/183.19  ** KEPT (pick-wt=20): 122 [] hAPP(A,B)=C| -hBOOL(c_in(B,c_Set_Ovimage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),E)).
% 182.99/183.19  ** KEPT (pick-wt=27): 124 [copy,123,flip.1] hAPP(hAPP(A,B),c_Finite__Set_Ofold(A,C,D,E,F))=c_Finite__Set_Ofold(A,C,c_Set_Oinsert(B,D,E),E,F)| -c_Finite__Set_Ofinite(D,E)| -c_Finite__Set_Ofun__left__comm__idem(A,E,F).
% 182.99/183.19  ** KEPT (pick-wt=27): 125 [] c_Finite__Set_Ofold(A,B,c_Set_Oinsert(C,D,E),E,F)=c_Finite__Set_Ofold(A,hAPP(hAPP(A,C),B),D,E,F)| -c_Finite__Set_Ofinite(D,E)| -c_Finite__Set_Ofun__left__comm__idem(A,E,F).
% 182.99/183.19  ** KEPT (pick-wt=24): 126 [] c_lesse_quals(A,c_Set_Oimage(B,C,D,E),tc_fun(E,tc_bool))| -c_lesse_quals(c_Set_Ovimage(B,A,D,E),C,tc_fun(D,tc_bool))| -c_Fun_Osurj(B,D,E).
% 182.99/183.19  ** KEPT (pick-wt=24): 127 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),E,tc_fun(C,tc_bool))| -c_lesse_quals(B,c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_Fun_Obij(A,C,D).
% 182.99/183.19  ** KEPT (pick-wt=24): 128 [] c_lesse_quals(A,c_Set_Oimage(B,C,D,E),tc_fun(E,tc_bool))| -c_lesse_quals(c_Set_Ovimage(B,A,D,E),C,tc_fun(D,tc_bool))| -c_Fun_Obij(B,D,E).
% 182.99/183.19  ** KEPT (pick-wt=21): 129 [] c_lesse_quals(A,c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(B,B),A),A,B,B,B),tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Orefl__on(C,A,B).
% 182.99/183.19  ** KEPT (pick-wt=42): 130 [] c_lesse_quals(c_Transitive__Closure_Otrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(B,B),tc_bool)),c_Transitive__Closure_Otrancl(A,B)),C),A,B,B,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 182.99/183.19  ** KEPT (pick-wt=16): 131 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(B,B),tc_bool)),A),c_Relation_OId(B)),B).
% 182.99/183.19  ** KEPT (pick-wt=16): 132 [] c_Relation_Oantisym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),c_Relation_OId(A)),A)| -c_Relation_Oantisym(B,A).
% 182.99/183.19  ** KEPT (pick-wt=23): 133 [] hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))=hAPP(hAPP(A,C),hAPP(hAPP(A,B),D))| -c_Finite__Set_Ofun__left__comm(A,E,F).
% 182.99/183.19  ** KEPT (pick-wt=10): 134 [] c_Relation_Osym(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Osym(A,C).
% 182.99/183.19  ** KEPT (pick-wt=52): 135 [] c_Fun_Ocomp(c_Fun_Ocomp(A,c_Record_Oiso__tuple__snd(B,C,D,E),E,F,C),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(B,C,D,E),G,tc_fun(D,D),tc_fun(C,C),H),I),C,F,C)=c_Fun_Ocomp(c_Fun_Oid(F),c_Fun_Ocomp(A,c_Record_Oiso__tuple__snd(B,C,D,E),E,F,C),F,F,C)| -c_Record_Oisomorphic__tuple(B,C,D,E).
% 182.99/183.19  ** KEPT (pick-wt=52): 136 [] c_Fun_Ocomp(c_Fun_Ocomp(A,c_Record_Oiso__tuple__fst(B,C,D,E),D,F,C),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(B,C,D,E),G,tc_fun(E,E),tc_fun(C,C),H),I),C,F,C)=c_Fun_Ocomp(c_Fun_Oid(F),c_Fun_Ocomp(A,c_Record_Oiso__tuple__fst(B,C,D,E),D,F,C),F,F,C)| -c_Record_Oisomorphic__tuple(B,C,D,E).
% 182.99/183.19  ** KEPT (pick-wt=66): 137 [] c_Fun_Ocomp(A,hAPP(B,C),D,E,D)!=c_Fun_Ocomp(F,A,E,E,D)| -c_Record_Oisomorphic__tuple(G,H,D,I)|c_Fun_Ocomp(c_Fun_Ocomp(A,c_Record_Oiso__tuple__fst(G,H,D,I),D,E,H),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(G,H,D,I),B,tc_fun(D,D),tc_fun(H,H),J),C),H,E,H)=c_Fun_Ocomp(F,c_Fun_Ocomp(A,c_Record_Oiso__tuple__fst(G,H,D,I),D,E,H),E,E,H).
% 182.99/183.19  ** KEPT (pick-wt=66): 138 [] c_Fun_Ocomp(A,hAPP(B,C),D,E,D)!=c_Fun_Ocomp(F,A,E,E,D)| -c_Record_Oisomorphic__tuple(G,H,I,D)|c_Fun_Ocomp(c_Fun_Ocomp(A,c_Record_Oiso__tuple__snd(G,H,I,D),D,E,H),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(G,H,I,D),B,tc_fun(D,D),tc_fun(H,H),J),C),H,E,H)=c_Fun_Ocomp(F,c_Fun_Ocomp(A,c_Record_Oiso__tuple__snd(G,H,I,D),D,E,H),E,E,H).
% 182.99/183.20  ** KEPT (pick-wt=43): 139 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(B,B),tc_bool)),c_Transitive__Closure_Ortrancl(A,B)),C),A,B,B,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_OId(B),C,tc_fun(tc_prod(B,B),tc_bool)).
% 182.99/183.20  ** KEPT (pick-wt=23): 140 [] c_lesse_quals(c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(A,A),B),B,A,A,A),B,tc_fun(tc_prod(A,A),tc_bool))| -c_Relation_Otrans(B,A)| -c_Relation_Osym(B,A).
% 182.99/183.20  ** KEPT (pick-wt=26): 141 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))| -hBOOL(c_in(A,c_FuncSet_OPi(B,c_COMBK(E,tc_fun(D,tc_bool),C),C,D),tc_fun(C,D))).
% 182.99/183.20  ** KEPT (pick-wt=32): 142 [] c_Finite__Set_Ofold(A,B,c_Set_Oinsert(C,D,E),E,F)=c_Finite__Set_Ofold(A,hAPP(hAPP(A,C),B),D,E,F)|hBOOL(c_in(C,D,E))| -c_Finite__Set_Ofinite(D,E)| -c_Finite__Set_Ofun__left__comm(A,E,F).
% 182.99/183.20  ** KEPT (pick-wt=32): 144 [copy,143,flip.1] hAPP(hAPP(A,B),c_Finite__Set_Ofold(A,C,D,E,F))=c_Finite__Set_Ofold(A,C,c_Set_Oinsert(B,D,E),E,F)|hBOOL(c_in(B,D,E))| -c_Finite__Set_Ofinite(D,E)| -c_Finite__Set_Ofun__left__comm(A,E,F).
% 182.99/183.20  ** KEPT (pick-wt=28): 145 [] hBOOL(c_in(A,c_FuncSet_OPi(B,c_COMBK(C,tc_fun(D,tc_bool),E),E,D),tc_fun(E,D)))| -hBOOL(c_in(hAPP(A,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(B,C,A,E,D)),C,D)).
% 182.99/183.20  ** KEPT (pick-wt=21): 146 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)| -hBOOL(c_in(E,D,C)).
% 182.99/183.20  ** KEPT (pick-wt=12): 147 [] c_Finite__Set_Ofinite(c_Transitive__Closure_Otrancl(A,B),tc_prod(B,B))| -c_Finite__Set_Ofinite(A,tc_prod(B,B)).
% 182.99/183.20  ** KEPT (pick-wt=12): 148 [] c_Finite__Set_Ofinite(A,tc_prod(B,B))| -c_Finite__Set_Ofinite(c_Transitive__Closure_Otrancl(A,B),tc_prod(B,B)).
% 182.99/183.20  ** KEPT (pick-wt=23): 149 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 182.99/183.20  ** KEPT (pick-wt=30): 151 [copy,150,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 182.99/183.20  ** KEPT (pick-wt=30): 152 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 182.99/183.20  ** KEPT (pick-wt=12): 153 [] c_Order__Relation_Olinear__order__on(A,B,C)| -c_Relation_Ototal__on(A,B,C)| -c_Order__Relation_Opartial__order__on(A,B,C).
% 182.99/183.20  ** KEPT (pick-wt=10): 154 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 182.99/183.20  ** KEPT (pick-wt=25): 155 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 182.99/183.20  ** KEPT (pick-wt=25): 156 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 182.99/183.20  ** KEPT (pick-wt=25): 157 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 182.99/183.20  ** KEPT (pick-wt=25): 158 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 182.99/183.20  ** KEPT (pick-wt=15): 159 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 182.99/183.20  ** KEPT (pick-wt=15): 160 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 182.99/183.20  ** KEPT (pick-wt=8): 161 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Relation_Osym(A,B).
% 182.99/183.20  ** KEPT (pick-wt=11): 162 [] c_Order__Relation_Opartial__order__on(A,B,C)| -c_Relation_Oantisym(B,C)| -c_Order__Relation_Opreorder__on(A,B,C).
% 182.99/183.20  ** KEPT (pick-wt=14): 164 [copy,163,flip.1] hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(A,B),B)!=hAPP(A,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(A,B))|c_Arrow__Order__Mirabelle_Odictator(A,B).
% 182.99/183.20  ** KEPT (pick-wt=8): 165 [] c_Order__Relation_Opreorder__on(A,B,C)| -c_Order__Relation_Opartial__order__on(A,B,C).
% 182.99/183.20  ** KEPT (pick-wt=11): 166 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 182.99/183.20  ** KEPT (pick-wt=21): 167 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(c_in(B,C,D)).
% 182.99/183.20  ** KEPT (pick-wt=10): 168 [] c_Finite__Set_Ofinite(c_Relation_OField(A,B),B)| -c_Finite__Set_Ofinite(A,tc_prod(B,B)).
% 182.99/183.20  ** KEPT (pick-wt=22): 169 [] hBOOL(c_in(A,c_FuncSet_OPi(B,c_COMBK(C,tc_fun(D,tc_bool),E),E,D),tc_fun(E,D)))| -c_Fun_Obij__betw(A,B,C,E,D).
% 182.99/183.20  ** KEPT (pick-wt=14): 170 [] c_Finite__Set_Ofinite(c_Set_Ovimage(A,B,C,D),C)| -c_Finite__Set_Ofinite(B,D)| -c_Fun_Obij(A,C,D).
% 182.99/183.20  ** KEPT (pick-wt=14): 171 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Ovimage(C,A,D,B),D)| -c_Fun_Obij(C,D,B).
% 182.99/183.20  ** KEPT (pick-wt=13): 172 [] c_Fun_Osurj(c_Fun_Oswap(A,B,C,D,E),D,E)| -c_Fun_Osurj(C,D,E).
% 182.99/183.20  ** KEPT (pick-wt=13): 173 [] c_Fun_Osurj(A,B,C)| -c_Fun_Osurj(c_Fun_Oswap(D,E,A,B,C),B,C).
% 182.99/183.20  ** KEPT (pick-wt=15): 174 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 182.99/183.20  ** KEPT (pick-wt=15): 175 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 182.99/183.20  ** KEPT (pick-wt=20): 176 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 182.99/183.20  ** KEPT (pick-wt=20): 177 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 182.99/183.20  ** KEPT (pick-wt=5): 178 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 182.99/183.20  ** KEPT (pick-wt=12): 179 [] hAPP(A,c_Fun_Oid(B))=c_Fun_Oid(C)| -c_Record_Oiso__tuple__update__accessor__cong__assist(A,D,B,C).
% 182.99/183.20  ** KEPT (pick-wt=15): 180 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),A),B)).
% 182.99/183.20  ** KEPT (pick-wt=15): 181 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),D),B)).
% 182.99/183.20  ** KEPT (pick-wt=13): 182 [] c_Fun_Ofun__upd(A,B,C,D,E)!=A|hAPP(A,B)=C.
% 182.99/183.20  ** KEPT (pick-wt=18): 183 [] c_Relation_Osym(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(A,A),tc_bool)),B),C),A)| -c_Relation_Osym(C,A)| -c_Relation_Osym(B,A).
% 182.99/183.20  ** KEPT (pick-wt=8): 184 [] c_Transitive__Closure_Otrancl(A,B)=A| -c_Relation_Otrans(A,B).
% 182.99/183.20  ** KEPT (pick-wt=8): 185 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(A,B),B)| -c_Relation_Osym(A,B).
% 182.99/183.20  ** KEPT (pick-wt=7): 186 [] -class_Lattices_Olower__semilattice(A)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(A),A,A).
% 182.99/183.20  ** KEPT (pick-wt=13): 187 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 182.99/183.20  ** KEPT (pick-wt=13): 188 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(B,A).
% 182.99/183.20  ** KEPT (pick-wt=22): 189 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 182.99/183.20    Following clause subsumed by 189 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 182.99/183.20  ** KEPT (pick-wt=22): 190 [] hBOOL(c_in(A,c_SetInterval_Oord_OatLeastLessThan(B,C,D,E,F),F))| -hBOOL(hAPP(hAPP(C,A),E))| -hBOOL(hAPP(hAPP(B,D),A)).
% 182.99/183.20  ** KEPT (pick-wt=13): 191 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 182.99/183.20    Following clause subsumed by 191 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 182.99/183.20  ** KEPT (pick-wt=21): 192 [] hBOOL(c_in(A,c_SetInterval_Oord_OatLeastAtMost(B,C,D,E),E))| -hBOOL(hAPP(hAPP(B,A),D))| -hBOOL(hAPP(hAPP(B,C),A)).
% 182.99/183.20  ** KEPT (pick-wt=17): 193 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,C,B)).
% 182.99/183.20  ** KEPT (pick-wt=17): 194 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B)).
% 182.99/183.20  ** KEPT (pick-wt=16): 195 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 182.99/183.20  ** KEPT (pick-wt=22): 196 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),B),C)).
% 182.99/183.20  ** KEPT (pick-wt=16): 197 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XbexE__1__1(B,A,C)))| -hBOOL(hAPP(A,D))| -hBOOL(c_in(D,B,C)).
% 182.99/183.20  ** KEPT (pick-wt=17): 198 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),C)).
% 182.99/183.20  ** KEPT (pick-wt=17): 199 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),C)).
% 182.99/183.20  ** KEPT (pick-wt=22): 200 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(c_in(A,D,C))|hBOOL(c_in(A,B,C))|B=D.
% 182.99/183.20  ** KEPT (pick-wt=23): 201 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 182.99/183.20    Following clause subsumed by 201 during input processing: 0 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 182.99/183.20  ** KEPT (pick-wt=16): 202 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 182.99/183.20    Following clause subsumed by 202 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 182.99/183.20  ** KEPT (pick-wt=7): 203 [] -class_Lattices_Oupper__semilattice(A)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(A),A,A).
% 182.99/183.20  ** KEPT (pick-wt=22): 204 [] c_Finite__Set_Ofinite(hAPP(A,B),C)| -hBOOL(c_in(B,D,E))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,A,E,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(D,E).
% 182.99/183.20  ** KEPT (pick-wt=14): 205 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 182.99/183.20  ** KEPT (pick-wt=18): 206 [] c_Relation_Osym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),C),A)| -c_Relation_Osym(C,A)| -c_Relation_Osym(B,A).
% 182.99/183.20  ** KEPT (pick-wt=14): 207 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Osurj(C,D,B)| -c_Finite__Set_Ofinite(c_Set_Ovimage(C,A,D,B),D).
% 182.99/183.20  ** KEPT (pick-wt=9): 208 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 182.99/183.20  ** KEPT (pick-wt=9): 209 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 182.99/183.20  ** KEPT (pick-wt=10): 210 [] c_Relation_Otrans(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Otrans(A,C).
% 182.99/183.20  ** KEPT (pick-wt=78): 211 [] c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(A,B,C,D),E,tc_fun(D,D),tc_fun(B,B),F),G),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(A,B,C,D),H,tc_fun(C,C),tc_fun(B,B),I),J),B,B,B)=c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(A,B,C,D),H,tc_fun(C,C),tc_fun(B,B),I),J),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(A,B,C,D),E,tc_fun(D,D),tc_fun(B,B),F),G),B,B,B)| -c_Record_Oisomorphic__tuple(A,B,C,D).
% 182.99/183.20  ** KEPT (pick-wt=23): 212 [] hAPP(hAPP(A,c_COMBK(hAPP(B,hAPP(C,D)),E,E)),D)=hAPP(hAPP(A,B),D)| -c_Record_Oiso__tuple__update__accessor__cong__assist(A,C,E,F).
% 182.99/183.20  ** KEPT (pick-wt=29): 213 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool))| -hBOOL(c_in(C,D,E)).
% 182.99/183.20  ** KEPT (pick-wt=16): 214 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 182.99/183.20    Following clause subsumed by 214 during input processing: 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 182.99/183.20  ** KEPT (pick-wt=15): 215 [] c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D)=B| -c_Fun_Osurj(A,C,D).
% 182.99/183.20  ** KEPT (pick-wt=16): 216 [] c_Relation_Otrans(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),c_Relation_OId(A)),A)| -c_Relation_Otrans(B,A).
% 182.99/183.20  ** KEPT (pick-wt=19): 217 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),A),B)).
% 182.99/183.20  ** KEPT (pick-wt=15): 218 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 182.99/183.20  ** KEPT (pick-wt=15): 219 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 182.99/183.20  ** KEPT (pick-wt=7): 220 [] c_Relation_Oantisym(A,B)| -c_Order__Relation_Opartial__order__on(C,A,B).
% 182.99/183.20  ** KEPT (pick-wt=28): 221 [] c_Relation_Orefl__on(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),D),E),A)| -c_Relation_Orefl__on(C,E,A)| -c_Relation_Orefl__on(B,D,A).
% 182.99/183.20  ** KEPT (pick-wt=25): 222 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 182.99/183.20  ** KEPT (pick-wt=25): 223 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 182.99/183.20  ** KEPT (pick-wt=25): 224 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 182.99/183.20  ** KEPT (pick-wt=25): 225 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 182.99/183.20  ** KEPT (pick-wt=13): 226 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),B).
% 182.99/183.20  ** KEPT (pick-wt=13): 227 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),B).
% 182.99/183.20  ** KEPT (pick-wt=8): 228 [] c_Fun_Osurj(A,B,C)| -c_Fun_Obij(A,B,C).
% 182.99/183.20  ** KEPT (pick-wt=18): 229 [] c_Relation_Otrans(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(A,A),tc_bool)),B),C),A)| -c_Relation_Otrans(C,A)| -c_Relation_Otrans(B,A).
% 183.12/183.20  ** KEPT (pick-wt=8): 230 [] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Wellfounded_Oacyclic(A,B).
% 183.12/183.20  ** KEPT (pick-wt=8): 231 [] c_Order__Relation_Opartial__order__on(A,B,C)| -c_Order__Relation_Olinear__order__on(A,B,C).
% 183.12/183.20  ** KEPT (pick-wt=15): 232 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=B.
% 183.12/183.20  ** KEPT (pick-wt=40): 233 [] hAPP(A,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(B,A,C,D,E))!=hAPP(C,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(B,A,C,D,E))| -hBOOL(c_in(C,c_FuncSet_Oextensional(B,D,E),tc_fun(D,E)))| -hBOOL(c_in(A,c_FuncSet_Oextensional(B,D,E),tc_fun(D,E)))|A=C.
% 183.12/183.20  ** KEPT (pick-wt=15): 234 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=B.
% 183.12/183.20  ** KEPT (pick-wt=28): 235 [] c_Relation_Orefl__on(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(A,A),tc_bool)),D),E),A)| -c_Relation_Orefl__on(C,E,A)| -c_Relation_Orefl__on(B,D,A).
% 183.12/183.20  ** KEPT (pick-wt=10): 236 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 183.12/183.20  ** KEPT (pick-wt=7): 237 [] c_Relation_Otrans(A,B)| -c_Order__Relation_Opreorder__on(C,A,B).
% 183.12/183.20  ** KEPT (pick-wt=13): 238 [] c_Fun_Obij(A,B,C)| -c_Fun_Obij(c_Fun_Oswap(D,E,A,B,C),B,C).
% 183.12/183.20  ** KEPT (pick-wt=13): 239 [] c_Fun_Obij(c_Fun_Oswap(A,B,C,D,E),D,E)| -c_Fun_Obij(C,D,E).
% 183.12/183.20  ** KEPT (pick-wt=25): 240 [] hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(A,B,C,D),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),A),B),D))| -hBOOL(hAPP(C,E))| -hBOOL(c_in(E,A,D)).
% 183.12/183.20  ** KEPT (pick-wt=25): 241 [] hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(A,B,C,D),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),A),B),D))| -hBOOL(hAPP(C,E))| -hBOOL(c_in(E,B,D)).
% 183.12/183.20  ** KEPT (pick-wt=8): 242 [] c_Relation_Ototal__on(A,B,C)| -c_Order__Relation_Olinear__order__on(A,B,C).
% 183.12/183.20  ** KEPT (pick-wt=13): 243 [] hAPP(hAPP(A,c_Fun_Oid(B)),C)=C| -c_Record_Oiso__tuple__update__accessor__cong__assist(A,D,B,E).
% 183.12/183.20  ** KEPT (pick-wt=24): 244 [] 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).
% 183.12/183.20  ** KEPT (pick-wt=24): 245 [] 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).
% 183.12/183.20  ** KEPT (pick-wt=27): 246 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(B,C))| -c_Record_Oiso__tuple__update__accessor__cong__assist(E,B,F,G)|hAPP(hAPP(E,A),C)=hAPP(hAPP(E,D),C).
% 183.12/183.20  ** KEPT (pick-wt=21): 247 [] hAPP(A,hAPP(B,C))!=hAPP(B,C)| -c_Record_Oiso__tuple__update__accessor__cong__assist(D,B,E,F)|hAPP(hAPP(D,A),C)=C.
% 183.12/183.20  ** KEPT (pick-wt=28): 248 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),A)| -hBOOL(c_in(B,D,A)).
% 183.12/183.20  ** KEPT (pick-wt=28): 249 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=c_Set_Oinsert(C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),A)| -hBOOL(c_in(C,B,A)).
% 183.12/183.20  ** KEPT (pick-wt=30): 250 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 183.12/183.20  ** KEPT (pick-wt=30): 252 [copy,251,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 183.12/183.20  ** KEPT (pick-wt=20): 253 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 183.12/183.20  ** KEPT (pick-wt=20): 254 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 183.12/183.20  ** KEPT (pick-wt=19): 255 [] hAPP(hAPP(A,B),hAPP(hAPP(A,B),C))=hAPP(hAPP(A,B),C)| -c_Finite__Set_Ofun__left__comm__idem(A,D,E).
% 183.12/183.20  ** KEPT (pick-wt=13): 256 [] c_Set_Oimage(A,B,C,D)=E| -c_Fun_Obij__betw(A,B,E,C,D).
% 183.12/183.20  ** KEPT (pick-wt=10): 257 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B.
% 183.12/183.20  ** KEPT (pick-wt=23): 258 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 183.12/183.20  ** KEPT (pick-wt=8): 259 [] c_Relation_Orefl__on(A,B,C)| -c_Order__Relation_Opreorder__on(A,B,C).
% 183.12/183.20  ** KEPT (pick-wt=14): 260 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 183.12/183.20  ** KEPT (pick-wt=14): 261 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 183.12/183.20  ** KEPT (pick-wt=19): 262 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(B,D)).
% 183.12/183.20  ** KEPT (pick-wt=11): 263 [] c_Order__Relation_Opreorder__on(A,B,C)| -c_Relation_Otrans(B,C)| -c_Relation_Orefl__on(A,B,C).
% 183.12/183.20  ** KEPT (pick-wt=78): 264 [] c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(A,B,C,D),E,tc_fun(C,C),tc_fun(B,B),F),G),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(A,B,C,D),H,tc_fun(D,D),tc_fun(B,B),I),J),B,B,B)=c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(A,B,C,D),H,tc_fun(D,D),tc_fun(B,B),I),J),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(A,B,C,D),E,tc_fun(C,C),tc_fun(B,B),F),G),B,B,B)| -c_Record_Oisomorphic__tuple(A,B,C,D).
% 183.12/183.20    Following clause subsumed by 202 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 183.12/183.20  ** KEPT (pick-wt=16): 265 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 183.12/183.20    Following clause subsumed by 265 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 183.12/183.20  ** KEPT (pick-wt=23): 266 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(c_in(D,C,E))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 183.12/183.20  ** KEPT (pick-wt=23): 267 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(c_in(B,D,E))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E).
% 183.12/183.20  ** KEPT (pick-wt=15): 268 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(B,c_SetInterval_Oord_OatLeastAtMost(A,D,C,E),E)).
% 183.12/183.20  ** KEPT (pick-wt=15): 269 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(C,c_SetInterval_Oord_OatLeastAtMost(A,B,D,E),E)).
% 183.12/183.20  ** KEPT (pick-wt=17): 270 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,A,D)))| -hBOOL(hAPP(A,E))| -hBOOL(c_in(E,C,D)).
% 183.12/183.20  ** KEPT (pick-wt=17): 271 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,A,D)))| -hBOOL(hAPP(A,E))| -hBOOL(c_in(E,B,D)).
% 183.12/183.20  ** KEPT (pick-wt=17): 272 [] hBOOL(c_in(c_ATP__Linkup_Osko__Set__XbexE__1__1(A,B,C),A,C))| -hBOOL(hAPP(B,D))| -hBOOL(c_in(D,A,C)).
% 183.12/183.20  ** KEPT (pick-wt=11): 273 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 183.12/183.20  ** KEPT (pick-wt=14): 274 [] hBOOL(c_in(A,c_SetInterval_Oord_OlessThan(B,C,D),D))| -hBOOL(hAPP(hAPP(B,A),C)).
% 183.12/183.20  ** KEPT (pick-wt=14): 275 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(B,c_SetInterval_Oord_OlessThan(A,C,D),D)).
% 183.12/183.20  ** KEPT (pick-wt=27): 276 [] 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(c_in(H,A,C)).
% 183.12/183.20  ** KEPT (pick-wt=21): 277 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 183.12/183.20    Following clause subsumed by 276 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(c_in(H,A,C)).
% 183.12/183.20    Following clause subsumed by 277 during input processing: 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 183.12/183.20  ** KEPT (pick-wt=16): 278 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(B,c_SetInterval_Oord_OatLeastLessThan(D,A,E,C,F),F)).
% 183.12/183.20  ** KEPT (pick-wt=16): 279 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(C,c_SetInterval_Oord_OatLeastLessThan(A,D,B,E,F),F)).
% 183.12/183.20  ** KEPT (pick-wt=17): 280 [] hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(A,B,C),A,C))| -hBOOL(hAPP(B,D))| -hBOOL(c_in(D,A,C)).
% 183.12/183.20  ** KEPT (pick-wt=16): 281 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(B,A,C)))| -hBOOL(hAPP(A,D))| -hBOOL(c_in(D,B,C)).
% 183.12/183.20  ** KEPT (pick-wt=16): 282 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 183.12/183.20    Following clause subsumed by 282 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 183.12/183.20    Following clause subsumed by 282 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 183.12/183.20    Following clause subsumed by 282 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 183.12/183.20  ** KEPT (pick-wt=21): 283 [] hAPP(A,B)=c_HOL_Oundefined(C)|hBOOL(c_in(B,D,E))| -hBOOL(c_in(A,c_FuncSet_Oextensional(D,E,C),tc_fun(E,C))).
% 183.12/183.20  ** KEPT (pick-wt=30): 284 [] hBOOL(c_in(A,c_FuncSet_OPi(B,C,D,E),tc_fun(D,E)))| -hBOOL(c_in(hAPP(A,c_FuncSet_Osko__FuncSet__XPi__I__1__1(B,C,A,D,E)),hAPP(C,c_FuncSet_Osko__FuncSet__XPi__I__1__1(B,C,A,D,E)),E)).
% 183.12/183.20  ** KEPT (pick-wt=33): 285 [] A=B|hBOOL(c_in(c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(C,A,B,D,E),C,D))| -hBOOL(c_in(B,c_FuncSet_Oextensional(C,D,E),tc_fun(D,E)))| -hBOOL(c_in(A,c_FuncSet_Oextensional(C,D,E),tc_fun(D,E))).
% 183.12/183.20  ** KEPT (pick-wt=28): 286 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -hBOOL(c_in(A,c_FuncSet_OPi(E,c_COMBK(C,tc_fun(D,tc_bool),F),F,D),tc_fun(F,D))).
% 183.12/183.20  ** KEPT (pick-wt=30): 287 [] hBOOL(c_in(A,c_FuncSet_OPi(B,C,D,E),tc_fun(D,E)))| -hBOOL(c_in(hAPP(A,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(B,C,A,D,E)),hAPP(C,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(B,C,A,D,E)),E)).
% 183.12/183.20  ** KEPT (pick-wt=18): 288 [] c_Fun_Ocomp(hAPP(A,B),hAPP(A,B),C,C,C)=hAPP(A,B)| -c_Finite__Set_Ofun__left__comm__idem(A,D,C).
% 183.12/183.20  ** KEPT (pick-wt=30): 289 [] hAPP(A,hAPP(B,C))!=hAPP(B,C)| -c_Record_Oiso__tuple__update__accessor__cong__assist(D,B,E,F)|hAPP(hAPP(D,c_Fun_Ocomp(G,A,E,E,E)),C)=hAPP(hAPP(D,G),C).
% 183.12/183.20  ** KEPT (pick-wt=23): 290 [] c_Fun_Obij__betw(c_Fun_Ocomp(A,B,C,D,E),F,G,E,D)| -c_Fun_Obij__betw(A,H,G,C,D)| -c_Fun_Obij__betw(B,F,H,E,C).
% 183.12/183.20  ** KEPT (pick-wt=25): 291 [] c_Fun_Ocomp(hAPP(A,B),hAPP(A,C),D,D,D)=c_Fun_Ocomp(hAPP(A,C),hAPP(A,B),D,D,D)| -c_Finite__Set_Ofun__left__comm(A,E,D).
% 183.12/183.20  ** KEPT (pick-wt=17): 292 [] c_Fun_Osurj(c_Fun_Ocomp(A,B,C,D,E),E,D)| -c_Fun_Osurj(A,C,D)| -c_Fun_Osurj(B,E,C).
% 183.12/183.20  ** KEPT (pick-wt=17): 293 [] c_Fun_Obij(c_Fun_Ocomp(A,B,C,D,E),E,D)| -c_Fun_Obij(A,C,D)| -c_Fun_Obij(B,E,C).
% 183.12/183.20  ** KEPT (pick-wt=23): 294 [] 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).
% 183.12/183.20  ** KEPT (pick-wt=12): 295 [] c_Order__Relation_Opartial__order__on(A,B,C)| -c_Order__Relation_Opartial__order__on(A,hAPP(c_Relation_Oconverse(C,C),B),C).
% 183.12/183.20  ** KEPT (pick-wt=12): 296 [] c_Order__Relation_Opartial__order__on(A,hAPP(c_Relation_Oconverse(B,B),C),B)| -c_Order__Relation_Opartial__order__on(A,C,B).
% 183.12/183.20  ** KEPT (pick-wt=12): 297 [] c_Relation_Ototal__on(A,hAPP(c_Relation_Oconverse(B,B),C),B)| -c_Relation_Ototal__on(A,C,B).
% 183.12/183.20  ** KEPT (pick-wt=12): 298 [] c_Relation_Ototal__on(A,B,C)| -c_Relation_Ototal__on(A,hAPP(c_Relation_Oconverse(C,C),B),C).
% 183.12/183.20  ** KEPT (pick-wt=12): 299 [] c_Order__Relation_Olinear__order__on(A,B,C)| -c_Order__Relation_Olinear__order__on(A,hAPP(c_Relation_Oconverse(C,C),B),C).
% 183.12/183.21  ** KEPT (pick-wt=12): 300 [] c_Order__Relation_Olinear__order__on(A,hAPP(c_Relation_Oconverse(B,B),C),B)| -c_Order__Relation_Olinear__order__on(A,C,B).
% 183.12/183.21  ** KEPT (pick-wt=12): 301 [] c_Order__Relation_Opreorder__on(A,hAPP(c_Relation_Oconverse(B,B),C),B)| -c_Order__Relation_Opreorder__on(A,C,B).
% 183.12/183.21  ** KEPT (pick-wt=12): 302 [] c_Order__Relation_Opreorder__on(A,B,C)| -c_Order__Relation_Opreorder__on(A,hAPP(c_Relation_Oconverse(C,C),B),C).
% 183.12/183.21  ** KEPT (pick-wt=10): 303 [] c_Wellfounded_Oacyclic(hAPP(c_Relation_Oconverse(A,A),B),A)| -c_Wellfounded_Oacyclic(B,A).
% 183.12/183.21  ** KEPT (pick-wt=10): 304 [] c_Wellfounded_Oacyclic(A,B)| -c_Wellfounded_Oacyclic(hAPP(c_Relation_Oconverse(B,B),A),B).
% 183.12/183.21  ** KEPT (pick-wt=10): 305 [] c_Relation_Oantisym(hAPP(c_Relation_Oconverse(A,A),B),A)| -c_Relation_Oantisym(B,A).
% 183.12/183.21  ** KEPT (pick-wt=10): 306 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(hAPP(c_Relation_Oconverse(B,B),A),B).
% 183.12/183.21  ** KEPT (pick-wt=10): 307 [] c_Relation_Otrans(hAPP(c_Relation_Oconverse(A,A),B),A)| -c_Relation_Otrans(B,A).
% 183.12/183.21  ** KEPT (pick-wt=10): 308 [] c_Relation_Otrans(A,B)| -c_Relation_Otrans(hAPP(c_Relation_Oconverse(B,B),A),B).
% 183.12/183.21  ** KEPT (pick-wt=10): 309 [] hAPP(c_Relation_Oconverse(A,A),B)!=B|c_Relation_Osym(B,A).
% 183.12/183.21  ** KEPT (pick-wt=10): 310 [] hAPP(c_Relation_Oconverse(A,A),B)=B| -c_Relation_Osym(B,A).
% 183.12/183.21  ** KEPT (pick-wt=12): 311 [] c_Relation_Orefl__on(A,hAPP(c_Relation_Oconverse(B,B),C),B)| -c_Relation_Orefl__on(A,C,B).
% 183.12/183.21  ** KEPT (pick-wt=12): 312 [] c_Relation_Orefl__on(A,B,C)| -c_Relation_Orefl__on(A,hAPP(c_Relation_Oconverse(C,C),B),C).
% 183.12/183.21  ** KEPT (pick-wt=14): 313 [] c_Finite__Set_Ofinite(hAPP(c_Relation_Oconverse(A,B),C),tc_prod(B,A))| -c_Finite__Set_Ofinite(C,tc_prod(A,B)).
% 183.12/183.21  ** KEPT (pick-wt=14): 314 [] c_Finite__Set_Ofinite(A,tc_prod(B,C))| -c_Finite__Set_Ofinite(hAPP(c_Relation_Oconverse(B,C),A),tc_prod(C,B)).
% 183.12/183.21  ** KEPT (pick-wt=10): 315 [] c_Relation_Osym(hAPP(c_Relation_Oconverse(A,A),B),A)| -c_Relation_Osym(B,A).
% 183.12/183.21  ** KEPT (pick-wt=10): 316 [] c_Relation_Osym(A,B)| -c_Relation_Osym(hAPP(c_Relation_Oconverse(B,B),A),B).
% 183.12/183.21  ** KEPT (pick-wt=99): 317 [] c_Fun_Ocomp(hAPP(A,B),hAPP(C,D),E,E,E)!=c_Fun_Ocomp(hAPP(C,D),hAPP(A,B),E,E,E)| -c_Record_Oisomorphic__tuple(F,G,H,E)|c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(F,G,H,E),A,tc_fun(E,E),tc_fun(G,G),I),B),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(F,G,H,E),C,tc_fun(E,E),tc_fun(G,G),J),D),G,G,G)=c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(F,G,H,E),C,tc_fun(E,E),tc_fun(G,G),J),D),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__snd__update(F,G,H,E),A,tc_fun(E,E),tc_fun(G,G),I),B),G,G,G).
% 183.12/183.21  ** KEPT (pick-wt=99): 318 [] c_Fun_Ocomp(hAPP(A,B),hAPP(C,D),E,E,E)!=c_Fun_Ocomp(hAPP(C,D),hAPP(A,B),E,E,E)| -c_Record_Oisomorphic__tuple(F,G,E,H)|c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(F,G,E,H),A,tc_fun(E,E),tc_fun(G,G),I),B),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(F,G,E,H),C,tc_fun(E,E),tc_fun(G,G),J),D),G,G,G)=c_Fun_Ocomp(hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(F,G,E,H),C,tc_fun(E,E),tc_fun(G,G),J),D),hAPP(c_Fun_Ocomp(c_Record_Oiso__tuple__fst__update(F,G,E,H),A,tc_fun(E,E),tc_fun(G,G),I),B),G,G,G).
% 183.12/183.21  ** KEPT (pick-wt=25): 319 [] hBOOL(c_in(hAPP(A,B),hAPP(C,B),D))| -hBOOL(c_in(B,E,F))| -hBOOL(c_in(A,c_FuncSet_OPi(E,C,F,D),tc_fun(F,D))).
% 183.12/183.21    Following clause subsumed by 319 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),hAPP(E,A),F))| -hBOOL(c_in(D,c_FuncSet_OPi(B,E,C,F),tc_fun(C,F))).
% 183.12/183.21  ** KEPT (pick-wt=21): 320 [] hAPP(A,B)=hAPP(B,C)| -hBOOL(c_in(B,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))| -c_Arrow__Order__Mirabelle_Odictator(A,C).
% 183.12/183.21  ** KEPT (pick-wt=28): 321 [] 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).
% 183.12/183.21  ** KEPT (pick-wt=24): 322 [] 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)).
% 183.12/183.21  ** KEPT (pick-wt=9): 323 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 183.12/183.21  ** KEPT (pick-wt=9): 324 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 183.12/183.21  ** KEPT (pick-wt=26): 325 [] -hBOOL(c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 183.12/183.21  ** KEPT (pick-wt=8): 326 [] class_Finite__Set_Ofinite_Ofinite(tc_prod(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 183.12/183.21  ** KEPT (pick-wt=6): 327 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 183.12/183.21  ** KEPT (pick-wt=6): 328 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 183.12/183.21  ** KEPT (pick-wt=6): 329 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 183.12/183.21  ** KEPT (pick-wt=6): 330 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 183.12/183.21  ** KEPT (pick-wt=6): 331 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 183.12/183.21  ** KEPT (pick-wt=8): 332 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 183.12/183.21  ** KEPT (pick-wt=6): 333 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 183.12/183.21  ** KEPT (pick-wt=6): 334 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 183.12/183.21  ** KEPT (pick-wt=6): 335 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 183.12/183.21  ** KEPT (pick-wt=6): 336 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 183.12/183.21  ** KEPT (pick-wt=6): 337 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 183.12/183.21  ** KEPT (pick-wt=5): 338 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(A))| -class_Finite__Set_Ofinite_Ofinite(A).
% 183.12/183.21  ** KEPT (pick-wt=7): 339 [] A=B| -c_fe_qual(A,B,C).
% 183.12/183.21    Following clause subsumed by 84 during input processing: 0 [copy,63,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 183.12/183.21    Following clause subsumed by 63 during input processing: 0 [copy,84,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 183.12/183.21  84 back subsumes 36.
% 183.12/183.21  88 back subsumes 34.
% 183.12/183.21  
% 183.12/183.21  ------------> process sos:
% 183.12/183.21  ** KEPT (pick-wt=3): 376 [] A=A.
% 183.12/183.21  ** KEPT (pick-wt=13): 377 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=13): 378 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),C,tc_fun(A,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=6): 379 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 183.12/183.21    Following clause subsumed by 379 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=19): 380 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 183.12/183.21  ---> New Demodulator: 381 [new_demod,380] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=13): 382 [] 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)).
% 183.12/183.21  ** KEPT (pick-wt=11): 383 [] hBOOL(c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)).
% 183.12/183.21  ** KEPT (pick-wt=14): 384 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 183.12/183.21  ---> New Demodulator: 385 [new_demod,384] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 183.12/183.21  ** KEPT (pick-wt=19): 387 [copy,386,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)),C)=c_Set_Oinsert(B,C,A).
% 183.12/183.21  ---> New Demodulator: 388 [new_demod,387] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)),C)=c_Set_Oinsert(B,C,A).
% 183.12/183.21  ** KEPT (pick-wt=21): 389 [] 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).
% 183.12/183.21  ** KEPT (pick-wt=32): 390 [] c_lesse_quals(c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B,E),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)),tc_fun(E,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=19): 391 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 183.12/183.21  ---> New Demodulator: 392 [new_demod,391] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 183.12/183.21  ** KEPT (pick-wt=19): 393 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 183.12/183.21  ---> New Demodulator: 394 [new_demod,393] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 183.12/183.21  ** KEPT (pick-wt=16): 395 [] c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=20): 396 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBK(B,tc_fun(C,tc_bool),A),A,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=20): 397 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,tc_fun(C,tc_bool))=B|A=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=20): 398 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool),C),C,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 183.12/183.21  ---> New Demodulator: 399 [new_demod,398] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool),C),C,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=14): 400 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=32): 401 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),c_Transitive__Closure_Ortrancl(B,A)),c_Transitive__Closure_Ortrancl(C,A)),c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),C),A),tc_fun(tc_prod(A,A),tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=7): 402 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A).
% 183.12/183.21  ** KEPT (pick-wt=11): 403 [] c_Finite__Set_Ofold(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,D)=B.
% 183.12/183.21  ---> New Demodulator: 404 [new_demod,403] c_Finite__Set_Ofold(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,D)=B.
% 183.12/183.21    Following clause subsumed by 379 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=13): 405 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 183.12/183.21  ---> New Demodulator: 406 [new_demod,405] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 183.12/183.21  ** KEPT (pick-wt=13): 407 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 183.12/183.21  ---> New Demodulator: 408 [new_demod,407] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 183.12/183.21  ** KEPT (pick-wt=6): 409 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 183.12/183.21  ** KEPT (pick-wt=9): 410 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=16): 411 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 183.12/183.21  ---> New Demodulator: 412 [new_demod,411] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=16): 413 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 183.12/183.21  ---> New Demodulator: 414 [new_demod,413] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=9): 415 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=21): 416 [] 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).
% 183.12/183.21  ** KEPT (pick-wt=13): 417 [] 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)).
% 183.12/183.21  ** KEPT (pick-wt=13): 418 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=13): 419 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),tc_fun(B,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=13): 420 [] 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).
% 183.12/183.21  ** KEPT (pick-wt=17): 421 [] hBOOL(c_in(A,c_Set_Ovimage(B,c_Set_Oinsert(hAPP(B,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),D,C),D)).
% 183.12/183.21  ** KEPT (pick-wt=22): 422 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=18): 423 [] c_Set_Ovimage(c_COMBK(A,B,C),D,C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,D,B)).
% 183.12/183.21  ** KEPT (pick-wt=31): 425 [copy,424,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Ovimage(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),A,D)),c_Set_Ovimage(B,E,A,D))=c_Set_Ovimage(B,c_Set_Oinsert(C,E,D),A,D).
% 183.12/183.21  ---> New Demodulator: 426 [new_demod,425] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Ovimage(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),A,D)),c_Set_Ovimage(B,E,A,D))=c_Set_Ovimage(B,c_Set_Oinsert(C,E,D),A,D).
% 183.12/183.21  ** KEPT (pick-wt=5): 427 [] c_Relation_Osym(c_Relation_OId__on(A,B),B).
% 183.12/183.21  ** KEPT (pick-wt=17): 428 [] c_Transitive__Closure_Otrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),c_Relation_OId(A)),A)=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.21  ---> New Demodulator: 429 [new_demod,428] c_Transitive__Closure_Otrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),c_Relation_OId(A)),A)=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.21  ** KEPT (pick-wt=6): 430 [] c_Relation_Orefl__on(A,c_Relation_OId__on(A,B),B).
% 183.12/183.21  ** KEPT (pick-wt=17): 432 [copy,431,flip.1] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),A,B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 183.12/183.21  ---> New Demodulator: 433 [new_demod,432] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),A,B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 183.12/183.21  ** KEPT (pick-wt=17): 434 [] c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),c_Relation_OId(A)),A)=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.21  ---> New Demodulator: 435 [new_demod,434] c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),c_Relation_OId(A)),A)=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.21  ** KEPT (pick-wt=9): 436 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 183.12/183.21  ---> New Demodulator: 437 [new_demod,436] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 183.12/183.21  ** KEPT (pick-wt=17): 438 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),c_Transitive__Closure_Otrancl(B,A)),c_Relation_OId(A))=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.21  ---> New Demodulator: 439 [new_demod,438] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),c_Transitive__Closure_Otrancl(B,A)),c_Relation_OId(A))=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.21  ** KEPT (pick-wt=23): 440 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D),A).
% 183.12/183.21  ---> New Demodulator: 441 [new_demod,440] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D),A).
% 183.12/183.21  ** KEPT (pick-wt=23): 442 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=c_Set_Oinsert(C,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),A).
% 183.12/183.21  ---> New Demodulator: 443 [new_demod,442] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=c_Set_Oinsert(C,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),A).
% 183.12/183.21  ** KEPT (pick-wt=26): 444 [] hBOOL(c_in(A,c_FuncSet_OPi(B,c_COMBK(C,tc_fun(D,tc_bool),E),E,D),tc_fun(E,D)))|hBOOL(c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(B,C,A,E,D),B,E)).
% 183.12/183.21  ** KEPT (pick-wt=38): 445 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.21  ** KEPT (pick-wt=38): 447 [copy,446,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.21  ---> New Demodulator: 448 [new_demod,447] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.21  ** KEPT (pick-wt=13): 449 [] c_Fun_Oswap(A,B,c_Fun_Oswap(A,B,C,D,E),D,E)=C.
% 183.12/183.21  ---> New Demodulator: 450 [new_demod,449] c_Fun_Oswap(A,B,c_Fun_Oswap(A,B,C,D,E),D,E)=C.
% 183.12/183.21  ** KEPT (pick-wt=13): 451 [] c_Fun_Oswap(A,B,C,D,E)=c_Fun_Oswap(B,A,C,D,E).
% 183.12/183.21  ** KEPT (pick-wt=10): 452 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 183.12/183.21  ---> New Demodulator: 453 [new_demod,452] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 183.12/183.21  ** KEPT (pick-wt=5): 454 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(A,B),B).
% 183.12/183.21    Following clause subsumed by 376 during input processing: 0 [demod,439] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 183.12/183.21  ** KEPT (pick-wt=15): 455 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 183.12/183.21  ** KEPT (pick-wt=8): 456 [] hAPP(c_COMBK(A,B,C),D)=A.
% 183.12/183.21  ---> New Demodulator: 457 [new_demod,456] hAPP(c_COMBK(A,B,C),D)=A.
% 183.12/183.21  ** KEPT (pick-wt=31): 458 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 183.12/183.21  ** KEPT (pick-wt=31): 459 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.21  ---> New Demodulator: 460 [new_demod,459] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.21  ** KEPT (pick-wt=17): 461 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),c_Transitive__Closure_Ortrancl(B,A)),c_Relation_OId(A))=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.21  ---> New Demodulator: 462 [new_demod,461] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),c_Transitive__Closure_Ortrancl(B,A)),c_Relation_OId(A))=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.21  ** KEPT (pick-wt=17): 463 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 183.12/183.21  ** KEPT (pick-wt=73): 465 [copy,464,demod,460,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 183.12/183.21  ---> New Demodulator: 466 [new_demod,465] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 183.12/183.21  ** KEPT (pick-wt=29): 467 [] c_Fun_Oswap(A,B,c_Fun_Oswap(B,C,c_Fun_Oswap(A,B,D,E,F),E,F),E,F)=c_Fun_Oswap(A,C,D,E,F)|B=C|A=C.
% 183.12/183.21  ** KEPT (pick-wt=5): 468 [] c_Fun_Obij(c_Fun_Oid(A),A,A).
% 183.12/183.21  ** KEPT (pick-wt=5): 469 [] c_Relation_Oantisym(c_Relation_OId__on(A,B),B).
% 183.12/183.21  ** KEPT (pick-wt=9): 470 [] c_Relation_Orel__comp(A,c_Relation_OId(B),C,B,B)=A.
% 183.12/183.21  ---> New Demodulator: 471 [new_demod,470] c_Relation_Orel__comp(A,c_Relation_OId(B),C,B,B)=A.
% 183.12/183.21  ** KEPT (pick-wt=9): 472 [] c_Relation_Orel__comp(c_Relation_OId(A),B,A,A,C)=B.
% 183.12/183.21  ---> New Demodulator: 473 [new_demod,472] c_Relation_Orel__comp(c_Relation_OId(A),B,A,A,C)=B.
% 183.12/183.21  ** KEPT (pick-wt=23): 474 [] c_Product__Type_Oapsnd(A,c_Product__Type_Oapfst(B,C,D,E,F),F,G,E)=c_Product__Type_Oapfst(B,c_Product__Type_Oapsnd(A,C,F,G,D),D,E,G).
% 183.12/183.21  ---> New Demodulator: 475 [new_demod,474] c_Product__Type_Oapsnd(A,c_Product__Type_Oapfst(B,C,D,E,F),F,G,E)=c_Product__Type_Oapfst(B,c_Product__Type_Oapsnd(A,C,F,G,D),D,E,G).
% 183.12/183.21  ** KEPT (pick-wt=25): 476 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)|hBOOL(c_in(C,B,A)).
% 183.12/183.21  ** KEPT (pick-wt=25): 477 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)|hBOOL(c_in(B,D,A)).
% 183.12/183.21  ** KEPT (pick-wt=26): 479 [copy,478,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(A,B,C,D),E,D,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_Fun_Ocomp(E,A,D,tc_fun(F,tc_bool),C),C,tc_fun(F,tc_bool)).
% 183.12/183.21  ---> New Demodulator: 480 [new_demod,479] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(A,B,C,D),E,D,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_Fun_Ocomp(E,A,D,tc_fun(F,tc_bool),C),C,tc_fun(F,tc_bool)).
% 183.12/183.21  ** KEPT (pick-wt=36): 481 [] c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,B),tc_bool)),C),D),E,A,B,F)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,F),tc_bool)),c_Relation_Orel__comp(C,E,A,B,F)),c_Relation_Orel__comp(D,E,A,B,F)).
% 183.12/183.21  ** KEPT (pick-wt=36): 482 [] c_Relation_Orel__comp(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(B,C),tc_bool)),D),E),F,B,C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(F,C),tc_bool)),c_Relation_Orel__comp(A,D,F,B,C)),c_Relation_Orel__comp(A,E,F,B,C)).
% 183.12/183.21  ** KEPT (pick-wt=5): 483 [] c_Relation_Otrans(c_Relation_OId__on(A,B),B).
% 183.12/183.21  ** KEPT (pick-wt=25): 484 [] c_Relation_OField(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),C),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Relation_OField(B,A)),c_Relation_OField(C,A)).
% 183.12/183.21  ---> New Demodulator: 485 [new_demod,484] c_Relation_OField(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),C),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Relation_OField(B,A)),c_Relation_OField(C,A)).
% 183.12/183.21  ** KEPT (pick-wt=8): 486 [] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 183.12/183.21  ---> New Demodulator: 487 [new_demod,486] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 183.12/183.21  ** KEPT (pick-wt=4): 488 [] c_Relation_Osym(c_Relation_OId(A),A).
% 183.12/183.21  ** KEPT (pick-wt=17): 489 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 183.12/183.21  ** KEPT (pick-wt=8): 490 [] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 183.12/183.21  ---> New Demodulator: 491 [new_demod,490] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 183.12/183.21  ** KEPT (pick-wt=24): 492 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 183.12/183.21  ---> New Demodulator: 493 [new_demod,492] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 183.12/183.21  ** KEPT (pick-wt=5): 494 [] c_Fun_Osurj(c_Fun_Oid(A),A,A).
% 183.12/183.21  ** KEPT (pick-wt=16): 495 [] c_Relation_Osym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),hAPP(c_Relation_Oconverse(A,A),B)),A).
% 183.12/183.21  ** KEPT (pick-wt=29): 496 [] c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 183.12/183.21  ** KEPT (pick-wt=29): 497 [] c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),c_Transitive__Closure_Ortrancl(B,A)),c_Transitive__Closure_Ortrancl(C,A)),A)=c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),C),A).
% 183.12/183.21  ---> New Demodulator: 498 [new_demod,497] c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),c_Transitive__Closure_Ortrancl(B,A)),c_Transitive__Closure_Ortrancl(C,A)),A)=c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),C),A).
% 183.12/183.21  ** KEPT (pick-wt=6): 499 [] hAPP(c_Fun_Oid(A),B)=B.
% 183.12/183.21  ---> New Demodulator: 500 [new_demod,499] hAPP(c_Fun_Oid(A),B)=B.
% 183.12/183.21  ** KEPT (pick-wt=21): 502 [copy,501,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(B,A),B,A,A,A))=c_Transitive__Closure_Otrancl(B,A).
% 183.12/183.21  ---> New Demodulator: 503 [new_demod,502] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),B),c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(B,A),B,A,A,A))=c_Transitive__Closure_Otrancl(B,A).
% 183.12/183.21  ** KEPT (pick-wt=29): 504 [] c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 183.12/183.21  ** KEPT (pick-wt=8): 505 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 183.12/183.21    Following clause subsumed by 505 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 183.12/183.21    Following clause subsumed by 505 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 183.12/183.21  ** KEPT (pick-wt=5): 506 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(A,B),B).
% 183.12/183.21  ** KEPT (pick-wt=26): 507 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),c_Set_Oinsert(B,D,A))=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),A).
% 183.12/183.21  ---> New Demodulator: 508 [new_demod,507] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),c_Set_Oinsert(B,D,A))=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),A).
% 183.12/183.21  ** KEPT (pick-wt=12): 509 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 183.12/183.21  ---> New Demodulator: 510 [new_demod,509] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 183.12/183.21  ** KEPT (pick-wt=8): 511 [] c_Fun_Oswap(A,A,B,C,D)=B.
% 183.12/183.21  ---> New Demodulator: 512 [new_demod,511] c_Fun_Oswap(A,A,B,C,D)=B.
% 183.12/183.21  ** KEPT (pick-wt=23): 513 [] c_Relation_Orel__comp(c_Relation_Orel__comp(A,B,C,D,E),F,C,E,G)=c_Relation_Orel__comp(A,c_Relation_Orel__comp(B,F,D,E,G),C,D,G).
% 183.12/183.21  ---> New Demodulator: 514 [new_demod,513] c_Relation_Orel__comp(c_Relation_Orel__comp(A,B,C,D,E),F,C,E,G)=c_Relation_Orel__comp(A,c_Relation_Orel__comp(B,F,D,E,G),C,D,G).
% 183.12/183.21  ** KEPT (pick-wt=13): 515 [] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A.
% 183.12/183.21  ---> New Demodulator: 516 [new_demod,515] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A.
% 183.12/183.21  ** KEPT (pick-wt=4): 517 [] c_Relation_Oantisym(c_Relation_OId(A),A).
% 183.12/183.21  ** KEPT (pick-wt=26): 518 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),F,G,D,E)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,F,G,D,E),B,C,D,E)|B=F.
% 183.12/183.21  ** KEPT (pick-wt=22): 520 [copy,519,demod,433,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),c_Relation_OId(A)),c_Relation_Orel__comp(B,c_Transitive__Closure_Ortrancl(B,A),A,A,A))=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.21  ---> New Demodulator: 521 [new_demod,520] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,A),tc_bool)),c_Relation_OId(A)),c_Relation_Orel__comp(B,c_Transitive__Closure_Ortrancl(B,A),A,A,A))=c_Transitive__Closure_Ortrancl(B,A).
% 183.12/183.22  ** KEPT (pick-wt=31): 522 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.22  ---> New Demodulator: 523 [new_demod,522] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.22  ** KEPT (pick-wt=31): 524 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 183.12/183.22    Following clause subsumed by 376 during input processing: 0 [demod,500] v_x=v_x.
% 183.12/183.22  ** KEPT (pick-wt=4): 525 [] c_Relation_Otrans(c_Relation_OId(A),A).
% 183.12/183.22  ** KEPT (pick-wt=14): 526 [] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Transitive__Closure_Ortrancl(A,B).
% 183.12/183.22  ---> New Demodulator: 527 [new_demod,526] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Transitive__Closure_Ortrancl(A,B).
% 183.12/183.22  ** KEPT (pick-wt=18): 528 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E).
% 183.12/183.22  ---> New Demodulator: 529 [new_demod,528] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E).
% 183.12/183.22  ** KEPT (pick-wt=27): 531 [copy,530,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(C,D,E),B,E,tc_fun(A,tc_bool)).
% 183.12/183.22  ---> New Demodulator: 532 [new_demod,531] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(C,D,E),B,E,tc_fun(A,tc_bool)).
% 183.12/183.22  ** KEPT (pick-wt=22): 533 [] c_Fun_Oswap(A,B,C,D,E)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(C,A,hAPP(C,B),D,E),B,hAPP(C,A),D,E).
% 183.12/183.22  ** KEPT (pick-wt=10): 534 [] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 183.12/183.22  ---> New Demodulator: 535 [new_demod,534] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 183.12/183.22  ** KEPT (pick-wt=10): 536 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 183.12/183.22  ---> New Demodulator: 537 [new_demod,536] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 183.12/183.22    Following clause subsumed by 376 during input processing: 0 [demod,535] A=A.
% 183.12/183.22    Following clause subsumed by 376 during input processing: 0 [demod,537] C=C.
% 183.12/183.22    Following clause subsumed by 376 during input processing: 0 [demod,535] A=A.
% 183.12/183.22  ** KEPT (pick-wt=19): 539 [copy,538,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).
% 183.12/183.22  ---> New Demodulator: 540 [new_demod,539] 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).
% 183.12/183.22  ** KEPT (pick-wt=21): 541 [] c_Set_Oimage(c_Fun_Ofun__upd(A,B,C,D,E),F,D,E)=c_Set_Oimage(A,F,D,E)|hBOOL(c_in(B,F,D)).
% 183.12/183.22  ** KEPT (pick-wt=38): 543 [copy,542,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.22  ---> New Demodulator: 544 [new_demod,543] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.22  ** KEPT (pick-wt=38): 545 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 183.12/183.22  ** KEPT (pick-wt=7): 546 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 183.12/183.22  ** KEPT (pick-wt=24): 547 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C).
% 183.12/183.22  ---> New Demodulator: 548 [new_demod,547] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C).
% 183.12/183.22  ** KEPT (pick-wt=10): 549 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 183.12/183.22  ---> New Demodulator: 550 [new_demod,549] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 183.12/183.22  ** KEPT (pick-wt=12): 552 [copy,551,demod,433] c_Transitive__Closure_Otrancl(A,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 183.12/183.22  ---> New Demodulator: 553 [new_demod,552] c_Transitive__Closure_Otrancl(A,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 183.12/183.22    Following clause subsumed by 376 during input processing: 0 [demod,553] c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 183.12/183.22  ** KEPT (pick-wt=35): 554 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 183.12/183.22  ** KEPT (pick-wt=15): 555 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 183.12/183.22    Following clause subsumed by 555 during input processing: 0 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 183.12/183.22  ** KEPT (pick-wt=16): 556 [] c_Relation_Osym(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(A,A),tc_bool)),B),hAPP(c_Relation_Oconverse(A,A),B)),A).
% 183.12/183.22  ** KEPT (pick-wt=29): 557 [] c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)).
% 183.12/183.22  ** KEPT (pick-wt=14): 559 [copy,558,demod,553] c_Transitive__Closure_Ortrancl(c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 183.12/183.22  ---> New Demodulator: 560 [new_demod,559] c_Transitive__Closure_Ortrancl(c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 183.12/183.22  ** KEPT (pick-wt=9): 561 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 183.12/183.22  ---> New Demodulator: 562 [new_demod,561] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 183.12/183.22  ** KEPT (pick-wt=21): 563 [] hBOOL(c_in(A,c_FuncSet_OPi(B,C,D,E),tc_fun(D,E)))|hBOOL(c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(B,C,A,D,E),B,D)).
% 183.12/183.22  ** KEPT (pick-wt=21): 564 [] hBOOL(c_in(A,c_FuncSet_OPi(B,C,D,E),tc_fun(D,E)))|hBOOL(c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(B,C,A,D,E),B,D)).
% 183.12/183.22  ** KEPT (pick-wt=23): 566 [copy,565,flip.1] c_Product__Type_Oapfst(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Product__Type_Oapfst(A,c_Product__Type_Oapfst(B,F,E,C,G),C,D,G).
% 183.12/183.22  ---> New Demodulator: 567 [new_demod,566] c_Product__Type_Oapfst(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Product__Type_Oapfst(A,c_Product__Type_Oapfst(B,F,E,C,G),C,D,G).
% 183.12/183.22  ** KEPT (pick-wt=20): 568 [] 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).
% 183.12/183.22  ---> New Demodulator: 569 [new_demod,568] 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).
% 183.12/183.22  ** KEPT (pick-wt=14): 570 [] hAPP(c_Fun_Ocomp(A,B,C,D,t_a),v_x)=hAPP(A,hAPP(B,v_x)).
% 183.12/183.22  ---> New Demodulator: 571 [new_demod,570] hAPP(c_Fun_Ocomp(A,B,C,D,t_a),v_x)=hAPP(A,hAPP(B,v_x)).
% 183.12/183.22  ** KEPT (pick-wt=20): 573 [copy,572,flip.1] c_Option_Omap(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Option_Omap(A,c_Option_Omap(B,F,E,C),C,D).
% 183.12/183.22  ---> New Demodulator: 574 [new_demod,573] c_Option_Omap(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Option_Omap(A,c_Option_Omap(B,F,E,C),C,D).
% 183.12/183.22  ** KEPT (pick-wt=9): 575 [] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 183.12/183.22  ---> New Demodulator: 576 [new_demod,575] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 183.12/183.22  ** KEPT (pick-wt=9): 577 [] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 183.12/183.22  ---> New Demodulator: 578 [new_demod,577] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 183.12/183.22  ** KEPT (pick-wt=25): 580 [copy,579,flip.1] c_Fun_Ofun__upd(c_Fun_Ocomp(A,B,C,D,E),F,hAPP(A,G),E,D)=c_Fun_Ocomp(A,c_Fun_Ofun__upd(B,F,G,E,C),C,D,E).
% 183.12/183.22  ---> New Demodulator: 581 [new_demod,580] c_Fun_Ofun__upd(c_Fun_Ocomp(A,B,C,D,E),F,hAPP(A,G),E,D)=c_Fun_Ocomp(A,c_Fun_Ofun__upd(B,F,G,E,C),C,D,E).
% 183.12/183.22  ** KEPT (pick-wt=20): 583 [copy,582,flip.1] c_List_Omap(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_List_Omap(A,c_List_Omap(B,F,E,C),C,D).
% 183.12/183.22  ---> New Demodulator: 584 [new_demod,583] c_List_Omap(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_List_Omap(A,c_List_Omap(B,F,E,C),C,D).
% 183.12/183.22  ** KEPT (pick-wt=23): 586 [copy,585,flip.1] c_Product__Type_Oapsnd(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Product__Type_Oapsnd(A,c_Product__Type_Oapsnd(B,F,E,C,G),C,D,G).
% 183.12/183.22  ---> New Demodulator: 587 [new_demod,586] c_Product__Type_Oapsnd(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Product__Type_Oapsnd(A,c_Product__Type_Oapsnd(B,F,E,C,G),C,D,G).
% 183.12/183.22  ** KEPT (pick-wt=20): 588 [] 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).
% 183.12/183.22  ---> New Demodulator: 589 [new_demod,588] 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).
% 183.12/183.22  ** KEPT (pick-wt=23): 591 [copy,590,flip.1] c_Fun_Oswap(A,B,c_Fun_Ocomp(C,D,E,F,G),G,F)=c_Fun_Ocomp(C,c_Fun_Oswap(A,B,D,G,E),E,F,G).
% 183.12/183.22  ---> New Demodulator: 592 [new_demod,591] c_Fun_Oswap(A,B,c_Fun_Ocomp(C,D,E,F,G),G,F)=c_Fun_Ocomp(C,c_Fun_Oswap(A,B,D,G,E),E,F,G).
% 183.12/183.22  ** KEPT (pick-wt=33): 593 [] hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,B),tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(B,A),tc_bool)),hAPP(c_Relation_Oconverse(A,B),C)),hAPP(c_Relation_Oconverse(A,B),D)).
% 183.12/183.22  ** KEPT (pick-wt=15): 595 [copy,594,flip.1] hAPP(c_Relation_Oconverse(A,A),c_Transitive__Closure_Ortrancl(B,A))=c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(A,A),B),A).
% 183.12/183.22  ---> New Demodulator: 596 [new_demod,595] hAPP(c_Relation_Oconverse(A,A),c_Transitive__Closure_Ortrancl(B,A))=c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(A,A),B),A).
% 183.12/183.22  ** KEPT (pick-wt=11): 597 [] hAPP(c_Relation_Oconverse(A,A),c_Relation_OId__on(B,A))=c_Relation_OId__on(B,A).
% 183.12/183.22  ---> New Demodulator: 598 [new_demod,597] hAPP(c_Relation_Oconverse(A,A),c_Relation_OId__on(B,A))=c_Relation_OId__on(B,A).
% 183.12/183.22  ** KEPT (pick-wt=29): 600 [copy,599,demod,553,553,flip.1] hAPP(c_Relation_Oconverse(A,A),c_Relation_Orel__comp(B,c_Transitive__Closure_Ortrancl(B,A),A,A,A))=c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(A,A),B),c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(A,A),B),A),A,A,A).
% 183.12/183.22  ---> New Demodulator: 601 [new_demod,600] hAPP(c_Relation_Oconverse(A,A),c_Relation_Orel__comp(B,c_Transitive__Closure_Ortrancl(B,A),A,A,A))=c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(A,A),B),c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(A,A),B),A),A,A,A).
% 183.12/183.22  ** KEPT (pick-wt=19): 602 [] hAPP(c_Relation_Oconverse(A,A),c_Relation_Oinv__image(B,C,D,A))=c_Relation_Oinv__image(hAPP(c_Relation_Oconverse(D,D),B),C,D,A).
% 183.12/183.22  ** KEPT (pick-wt=9): 603 [] hAPP(c_Relation_Oconverse(A,A),c_Relation_OId(A))=c_Relation_OId(A).
% 183.12/183.22  ---> New Demodulator: 604 [new_demod,603] hAPP(c_Relation_Oconverse(A,A),c_Relation_OId(A))=c_Relation_OId(A).
% 183.12/183.22  ** KEPT (pick-wt=25): 605 [] hAPP(c_Relation_Oconverse(A,B),c_Relation_Orel__comp(C,D,A,E,B))=c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(E,B),D),hAPP(c_Relation_Oconverse(A,E),C),B,E,A).
% 183.12/183.22  ** KEPT (pick-wt=11): 606 [] c_Relation_OField(hAPP(c_Relation_Oconverse(A,A),B),A)=c_Relation_OField(B,A).
% 183.12/183.22  ---> New Demodulator: 607 [new_demod,606] c_Relation_OField(hAPP(c_Relation_Oconverse(A,A),B),A)=c_Relation_OField(B,A).
% 183.12/183.22  ** KEPT (pick-wt=33): 608 [] hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(A,B),tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(B,A),tc_bool)),hAPP(c_Relation_Oconverse(A,B),C)),hAPP(c_Relation_Oconverse(A,B),D)).
% 183.12/183.22  ** KEPT (pick-wt=14): 609 [] c_Arrow__Order__Mirabelle_OIIA(A)|hBOOL(c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(A),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 183.12/183.22  ** KEPT (pick-wt=14): 610 [] c_Arrow__Order__Mirabelle_Ounanimity(A)|hBOOL(c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(A),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 183.12/183.22  ** KEPT (pick-wt=16): 611 [] c_Arrow__Order__Mirabelle_Odictator(A,B)|hBOOL(c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(A,B),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 183.12/183.22  ** KEPT (pick-wt=14): 612 [] c_Arrow__Order__Mirabelle_OIIA(A)|hBOOL(c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(A),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 183.12/183.22  ** KEPT (pick-wt=11): 613 [] hBOOL(c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 183.12/183.22  ** KEPT (pick-wt=11): 614 [] hBOOL(c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 183.12/183.22  ** KEPT (pick-wt=23): 616 [copy,615,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).
% 183.12/183.22  ---> New Demodulator: 617 [new_demod,616] 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).
% 183.12/183.22  ** KEPT (pick-wt=11): 618 [] hAPP(c_Relation_Oconverse(A,B),hAPP(c_Relation_Oconverse(B,A),C))=C.
% 183.12/183.22  ---> New Demodulator: 619 [new_demod,618] hAPP(c_Relation_Oconverse(A,B),hAPP(c_Relation_Oconverse(B,A),C))=C.
% 183.12/183.22  ** KEPT (pick-wt=14): 621 [copy,620,flip.1] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 183.12/183.22  ---> New Demodulator: 622 [new_demod,621] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 183.12/183.22    Following clause subsumed by 376 during input processing: 0 [demod,622] hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 183.12/183.22    Following clause subsumed by 614 during input processing: 0 [] hBOOL(c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 183.12/183.22  ** KEPT (pick-wt=2): 623 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 624 [] class_Lattices_Oupper__semilattice(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 625 [] class_Lattices_Olower__semilattice(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 626 [] class_Lattices_Odistrib__lattice(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 627 [] class_Lattices_Obounded__lattice(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 628 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 629 [] class_Orderings_Opreorder(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 630 [] class_Lattices_Olattice(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 631 [] class_Orderings_Oorder(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 632 [] class_Orderings_Obot(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=2): 633 [] class_HOL_Oord(tc_bool).
% 183.12/183.22  ** KEPT (pick-wt=4): 634 [] c_fe_qual(A,A,B).
% 183.12/183.22    Following clause subsumed by 376 during input processing: 0 [copy,376,flip.1] A=A.
% 183.12/183.22  376 back subsumes 370.
% 183.12/183.22  376 back subsumes 367.
% 183.12/183.22  376 back subsumes 360.
% 183.12/183.22  376 back subsumes 351.
% 183.12/183.22  376 back subsumes 350.
% 183.12/183.22  >>>> Starting back demodulation with 381.
% 183.12/183.22  ** KEPT (pick-wt=13): 635 [copy,382,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).
% 183.12/183.22  >>>> Starting back demodulation with 385.
% 183.12/183.22  >>>> Starting back demodulation with 388.
% 183.12/183.22  ** KEPT (pick-wt=21): 636 [copy,389,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).
% 183.12/183.22  >>>> Starting back demodulation with 392.
% 183.12/183.22  >>>> Starting back demodulation with 394.
% 183.12/183.22    Following clause subsumed by 420 during input processing: 0 [copy,395,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(c_COMBK(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 183.12/183.22  ** KEPT (pick-wt=20): 637 [copy,396,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),c_COMBK(C,tc_fun(A,tc_bool),B),B,tc_fun(A,tc_bool)).
% 183.12/183.22  >>>> Starting back demodulation with 399.
% 183.12/183.22  >>>> Starting back demodulation with 404.
% 183.12/183.22  >>>> Starting back demodulation with 406.
% 183.12/183.22      >> back demodulating 380 with 406.
% 183.12/183.22  >>>> Starting back demodulation with 408.
% 183.12/183.22  >>>> Starting back demodulation with 412.
% 183.12/183.22  >>>> Starting back demodulation with 414.
% 183.12/183.22    Following clause subsumed by 455 during input processing: 0 [copy,416,flip.1] 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).
% 183.12/183.22    Following clause subsumed by 420 during input processing: 0 [copy,417,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).
% 183.12/183.22  417 back subsumes 395.
% 183.12/183.22    Following clause subsumed by 417 during input processing: 0 [copy,420,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)).
% 183.12/183.22  >>>> Starting back demodulation with 426.
% 183.12/183.22  >>>> Starting back demodulation with 429.
% 183.12/183.22  >>>> Starting back demodulation with 433.
% 183.12/183.22  >>>> Starting back demodulation with 435.
% 183.12/183.22  >>>> Starting back demodulation with 437.
% 183.12/183.22  >>>> Starting back demodulation with 439.
% 183.12/183.22  >>>> Starting back demodulation with 441.
% 183.12/183.22      >> back demodulating 387 with 441.
% 183.12/183.22  >>>> Starting back demodulation with 443.
% 183.12/183.22  ** KEPT (pick-wt=38): 638 [copy,445,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),C).
% 183.12/183.22  >>>> Starting back demodulation with 448.
% 183.12/183.22  >>>> Starting back demodulation with 450.
% 183.12/183.22    Following clause subsumed by 451 during input processing: 0 [copy,451,flip.1] c_Fun_Oswap(A,B,C,D,E)=c_Fun_Oswap(B,A,C,D,E).
% 183.12/183.22  >>>> Starting back demodulation with 453.
% 183.12/183.22      >> back demodulating 365 with 453.
% 183.12/183.22      >> back demodulating 364 with 453.
% 183.12/183.22      >> back demodulating 363 with 453.
% 183.12/183.22      >> back demodulating 362 with 453.
% 183.12/183.22      >> back demodulating 359 with 453.
% 183.12/183.22      >> back demodulating 353 with 453.
% 183.12/183.22      >> back demodulating 345 with 453.
% 183.12/183.22    Following clause subsumed by 455 during input processing: 0 [copy,455,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 183.12/183.22  455 back subsumes 416.
% 183.12/183.22  >>>> Starting back demodulation with 457.
% 183.12/183.22    Following clause subsumed by 458 during input processing: 0 [copy,458,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 183.12/183.22  >>>> Starting back demodulation with 460.
% 183.12/183.22  >>>> Starting back demodulation with 462.
% 183.12/183.22    Following clause subsumed by 463 during input processing: 0 [copy,463,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 183.12/183.22  >>>> Starting back demodulation with 466.
% 183.12/183.22  >>>> Starting back demodulation with 471.
% 183.12/183.22  >>>> Starting back demodulation with 473.
% 183.12/183.22  >>>> Starting back demodulation with 475.
% 183.12/183.22  >>>> Starting back demodulation with 480.
% 183.12/183.22  ** KEPT (pick-wt=36): 639 [copy,481,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,B),tc_bool)),c_Relation_Orel__comp(C,D,A,E,B)),c_Relation_Orel__comp(F,D,A,E,B))=c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,E),tc_bool)),C),F),D,A,E,B).
% 183.12/183.22  ** KEPT (pick-wt=36): 640 [copy,482,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(A,B),tc_bool)),c_Relation_Orel__comp(C,D,A,E,B)),c_Relation_Orel__comp(C,F,A,E,B))=c_Relation_Orel__comp(C,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(E,B),tc_bool)),D),F),A,E,B).
% 183.12/183.22  >>>> Starting back demodulation with 485.
% 183.12/183.22  >>>> Starting back demodulation with 487.
% 183.12/183.22    Following clause subsumed by 489 during input processing: 0 [copy,489,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 183.12/183.22  >>>> Starting back demodulation with 491.
% 183.12/183.22  >>>> Starting back demodulation with 493.
% 183.12/183.22  ** KEPT (pick-wt=29): 641 [copy,496,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Ovimage(B,C,A,D)),c_Set_Ovimage(B,E,A,D))=c_Set_Ovimage(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),E),A,D).
% 183.12/183.22  >>>> Starting back demodulation with 498.
% 183.12/183.22  >>>> Starting back demodulation with 500.
% 183.12/183.22  >>>> Starting back demodulation with 503.
% 183.12/183.22  ** KEPT (pick-wt=29): 642 [copy,504,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Ovimage(B,C,A,D)),c_Set_Ovimage(B,E,A,D))=c_Set_Ovimage(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,tc_bool)),C),E),A,D).
% 183.12/183.22  505 back subsumes 383.
% 183.12/183.22  >>>> Starting back demodulation with 508.
% 183.12/183.22  >>>> Starting back demodulation with 510.
% 183.12/183.22      >> back demodulating 349 with 510.
% 183.12/183.22      >> back demodulating 348 with 510.
% 183.12/183.22      >> back demodulating 347 with 510.
% 183.12/183.22      >> back demodulating 346 with 510.
% 183.12/183.22  >>>> Starting back demodulation with 512.
% 183.12/183.22  >>>> Starting back demodulation with 514.
% 183.12/183.22  >>>> Starting back demodulation with 516.
% 183.12/183.22  >>>> Starting back demodulation with 521.
% 183.12/183.22  >>>> Starting back demodulation with 523.
% 183.12/183.22      >> back demodulating 465 with 523.
% 183.12/183.22    Following clause subsumed by 524 during input processing: 0 [copy,524,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 183.12/183.22  >>>> Starting back demodulation with 527.
% 183.12/183.22  >>>> Starting back demodulation with 529.
% 183.12/183.22  >>>> Starting back demodulation with 532.
% 183.12/183.22      >> back demodulating 213 with 532.
% 183.12/183.22  ** KEPT (pick-wt=22): 650 [copy,533,flip.1] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,hAPP(A,C),D,E),C,hAPP(A,B),D,E)=c_Fun_Oswap(B,C,A,D,E).
% 183.12/183.22  >>>> Starting back demodulation with 535.
% 183.12/183.22  >>>> Starting back demodulation with 537.
% 183.12/183.22  >>>> Starting back demodulation with 540.
% 183.12/183.22      >> back demodulating 167 with 540.
% 183.12/183.22  >>>> Starting back demodulation with 544.
% 183.12/183.22  ** KEPT (pick-wt=38): 652 [copy,545,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(t
% 183.12/183.22  Search stopped in tp_alloc by max_mem option.
% 183.12/183.22  c_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),C).
% 183.12/183.22  >>>> Starting back demodulation with 548.
% 183.12/183.22  >>>> Starting back demodulation with 550.
% 183.12/183.22      >> back demodulating 369 with 550.
% 183.12/183.22      >> back demodulating 368 with 550.
% 183.12/183.22      >> back demodulating 366 with 550.
% 183.12/183.22      >> back demodulating 356 with 550.
% 183.12/183.22      >> back demodulating 355 with 550.
% 183.12/183.22      >> back demodulating 344 with 550.
% 183.12/183.22      >> back demodulating 342 with 550.
% 183.12/183.22      >> back demodulating 341 with 550.
% 183.12/183.22  >>>> Starting back demodulation with 553.
% 183.12/183.22      >> back demodulating 502 with 553.
% 183.12/183.22      >> back demodulating 454 with 553.
% 183.12/183.22      >> back demodulating 438 with 553.
% 183.12/183.22      >> back demodulating 436 with 553.
% 183.12/183.22      >> back demodulating 428 with 553.
% 183.12/183.22      >> back demodulating 185 with 553.
% 183.12/183.22      >> back demodulating 184 with 553.
% 183.12/183.22      >> back demodulating 148 with 553.
% 183.12/183.22      >> back demodulating 147 with 553.
% 183.12/183.22      >> back demodulating 130 with 553.
% 183.12/183.22  ** KEPT (pick-wt=35): 666 [copy,554,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,C,D,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),B),E),C,D,tc_fun(A,tc_bool)).
% 183.12/183.22  ** KEPT (pick-wt=29): 667 [copy,557,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Oimage(B,C,D,A)),c_Set_Oimage(B,E,D,A))=c_Set_Oimage(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),E),D,A).
% 183.12/183.22  >>>> Starting back demodulation with 560.
% 183.12/183.22  >>>> Starting back demodulation with 562.
% 183.12/183.22  >>>> Starting back demodulation with 567.
% 183.12/183.22  >>>> Starting back demodulation with 569.
% 183.12/183.22  >>>> Starting back demodulation with 571.
% 183.12/183.22      >> back demodulating 515 with 571.
% 183.12/183.22  >>>> Starting back demodulation with 574.
% 183.12/183.22  >>>> Starting back demodulation with 576.
% 183.12/183.22  >>>> Starting back demodulation with 578.
% 183.12/183.22      >> back demodulating 294 with 578.
% 183.12/183.22      >> back demodulating 136 with 578.
% 183.12/183.22  
% 183.12/183.22  Search stopped in tp_alloc by max_mem option.
% 183.12/183.22  
% 183.12/183.22  ============ end of search ============
% 183.12/183.22  
% 183.12/183.22  -------------- statistics -------------
% 183.12/183.22  clauses given                  0
% 183.12/183.22  clauses generated             40
% 183.12/183.22  clauses kept                 559
% 183.12/183.22  clauses forward subsumed      69
% 183.12/183.22  clauses back subsumed         10
% 183.12/183.22  Kbytes malloced            11718
% 183.12/183.22  
% 183.12/183.22  ----------- times (seconds) -----------
% 183.12/183.22  user CPU time          0.08          (0 hr, 0 min, 0 sec)
% 183.12/183.22  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 183.12/183.22  wall-clock time      183             (0 hr, 3 min, 3 sec)
% 183.12/183.22  
% 183.12/183.22  Process 4645 finished Wed Jul 27 09:03:54 2022
% 183.12/183.22  Otter interrupted
% 183.12/183.22  PROOF NOT FOUND
%------------------------------------------------------------------------------