TSTP Solution File: SWV870-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV870-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:21:42 EDT 2022
% Result : Unknown 208.65s 208.72s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV870-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 05:49:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 208.32/208.37 ----- Otter 3.3f, August 2004 -----
% 208.32/208.37 The process was started by sandbox2 on n015.cluster.edu,
% 208.32/208.37 Wed Jul 27 05:49:42 2022
% 208.32/208.37 The command was "./otter". The process ID is 27669.
% 208.32/208.37
% 208.32/208.37 set(prolog_style_variables).
% 208.32/208.37 set(auto).
% 208.32/208.37 dependent: set(auto1).
% 208.32/208.37 dependent: set(process_input).
% 208.32/208.37 dependent: clear(print_kept).
% 208.32/208.37 dependent: clear(print_new_demod).
% 208.32/208.37 dependent: clear(print_back_demod).
% 208.32/208.37 dependent: clear(print_back_sub).
% 208.32/208.37 dependent: set(control_memory).
% 208.32/208.37 dependent: assign(max_mem, 12000).
% 208.32/208.37 dependent: assign(pick_given_ratio, 4).
% 208.32/208.37 dependent: assign(stats_level, 1).
% 208.32/208.37 dependent: assign(max_seconds, 10800).
% 208.32/208.37 clear(print_given).
% 208.32/208.37
% 208.32/208.37 list(usable).
% 208.32/208.37 0 [] A=A.
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 208.32/208.37 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)).
% 208.32/208.37 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),V_x)=c_Lattices_Oupper__semilattice__class_Osup(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),T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|c_lesse_quals(V_x,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_HOL_Oord(T_b)| -c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)| -c_lesse_quals(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_y,T_a).
% 208.32/208.37 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_a_H,T_a).
% 208.32/208.37 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 208.32/208.37 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_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)).
% 208.32/208.37 0 [] c_lesse_quals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_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)).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(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),T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),T_a).
% 208.32/208.37 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool))).
% 208.32/208.37 0 [] hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)!=c_Option_Ooption_OSome(V_x,T_a)|hAPP(V_m,V_k)=c_Option_Ooption_OSome(V_x,T_a)|hAPP(V_n,V_k)=c_Option_Ooption_OSome(V_x,T_a).
% 208.32/208.37 0 [] hAPP(V_m,V_k)!=c_Option_Ooption_OSome(V_x,T_a)|hAPP(V_n,V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)=c_Option_Ooption_OSome(V_x,T_a).
% 208.32/208.37 0 [] hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(V_m,V_k)=c_Option_Ooption_ONone(T_a).
% 208.32/208.37 0 [] hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(V_n,V_k)=c_Option_Ooption_ONone(T_a).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_HOL_Ominus(T_b)|hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(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))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_d,T_a)|c_HOL_Oord__class_Oless(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 208.32/208.37 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a)| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a)|c_Finite__Set_Ofold1(V_times,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)=hAPP(hAPP(V_times,c_Finite__Set_Ofold1(V_times,V_A,T_a)),c_Finite__Set_Ofold1(V_times,V_B,T_a)).
% 208.32/208.37 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 208.32/208.37 0 [] hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)).
% 208.32/208.37 0 [] c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] hAPP(V_m,V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(V_n,V_k)!=c_Option_Ooption_ONone(T_a)|hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)=c_Option_Ooption_ONone(T_a).
% 208.32/208.37 0 [] hAPP(V_n,V_k)!=c_Option_Ooption_OSome(V_xx,T_a)|hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)=c_Option_Ooption_OSome(V_xx,T_a).
% 208.32/208.37 0 [] hAPP(V_n,V_k)!=c_Option_Ooption_OSome(V_x,T_a)|hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)=c_Option_Ooption_OSome(V_x,T_a).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Map_Omap__le(V_f,c_Map_Omap__add(V_g,V_f,T_a,T_b),T_a,T_b).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_a,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_b,T_a).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Map_Omap__le(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_h,T_a,T_b)| -c_Map_Omap__le(V_f,c_Map_Omap__add(V_f,V_g,T_a,T_b),T_a,T_b)| -c_Map_Omap__le(V_g,V_h,T_a,T_b)| -c_Map_Omap__le(V_f,V_h,T_a,T_b).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 208.32/208.37 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 208.32/208.37 0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 208.32/208.37 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a))=c_Lattices_Oupper__semilattice__class_Osup(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),T_a).
% 208.32/208.37 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))),V_A)=c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 208.32/208.37 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=V_A.
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_x,T_a,T_b).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Finite__Set_Ofold1(V_f,V_A,T_a)=c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_lesse_quals(c_Map_Odom(V_f,T_a,T_b),c_Map_Odom(V_g,T_a,T_b),tc_fun(T_a,tc_bool))| -c_Map_Omap__le(V_f,V_g,T_a,T_b).
% 208.32/208.37 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_xa,T_a)| -hBOOL(c_in(V_xa,V_A,T_a))| -c_lesse_quals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 208.32/208.37 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)).
% 208.32/208.37 0 [] c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Collect(V_P,T_a)=V_P.
% 208.32/208.37 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 208.32/208.37 0 [] c_Map_Omap__le(V_g,V_h,T_a,T_b)| -c_Map_Omap__le(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_h,T_a,T_b).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Map_Omap__le(V_f,V_f,T_a,T_b).
% 208.32/208.37 0 [] c_Map_Omap__le(V_m1,V_m3,T_a,T_b)| -c_Map_Omap__le(V_m2,V_m3,T_a,T_b)| -c_Map_Omap__le(V_m1,V_m2,T_a,T_b).
% 208.32/208.37 0 [] c_Map_Odom(c_Map_Omap__add(V_m,V_n,T_a,T_b),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(V_n,T_a,T_b),c_Map_Odom(V_m,T_a,T_b),tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Option_Ooption_OSome(V_a_H,T_a)!=c_Option_Ooption_ONone(T_a).
% 208.32/208.37 0 [] c_Option_Ooption_OSome(V_xa,T_a)!=c_Option_Ooption_ONone(T_a).
% 208.32/208.37 0 [] c_Option_Ooption_OSome(V_a,T_a)!=c_Option_Ooption_OSome(V_a_H,T_a)|V_a=V_a_H.
% 208.32/208.37 0 [] c_Map_Omap__add(V_m1,c_Map_Omap__add(V_m2,V_m3,T_a,T_b),T_a,T_b)=c_Map_Omap__add(c_Map_Omap__add(V_m1,V_m2,T_a,T_b),V_m3,T_a,T_b).
% 208.32/208.37 0 [] hAPP(hAPP(V_times,hAPP(hAPP(V_times,V_a),V_b)),V_c)=hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 208.32/208.37 0 [] hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c))=hAPP(hAPP(V_times,V_b),hAPP(hAPP(V_times,V_a),V_c))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 208.32/208.37 0 [] hAPP(hAPP(V_times,V_a),V_b)=hAPP(hAPP(V_times,V_b),V_a)| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 208.32/208.37 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 208.32/208.37 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 208.32/208.37 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 208.32/208.37 0 [] c_Map_Omap__add(V_f,V_g,T_a,T_b)=c_Map_Omap__add(V_g,V_f,T_a,T_b)| -c_Map_Omap__le(V_f,c_Map_Omap__add(V_f,V_g,T_a,T_b),T_a,T_b).
% 208.32/208.37 0 [] c_Map_Omap__add(V_f,V_g,T_a,T_b)!=c_Map_Omap__add(V_g,V_f,T_a,T_b)|c_Map_Omap__le(V_f,c_Map_Omap__add(V_f,V_g,T_a,T_b),T_a,T_b).
% 208.32/208.37 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a)),T_a).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 208.32/208.37 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_HOL_Oord(T_b)|c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))|c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),T_a)=V_x.
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_b,V_d,T_a)| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_c,V_a,T_a)| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 208.32/208.37 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] V_f=V_g| -c_Map_Omap__le(V_g,V_f,T_a,T_b)| -c_Map_Omap__le(V_f,V_g,T_a,T_b).
% 208.32/208.37 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).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))=V_x.
% 208.32/208.37 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_HOL_Oord__class_Oless(V_b,V_x,T_a).
% 208.32/208.37 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_HOL_Oord__class_Oless(V_a,V_x,T_a).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))=V_A.
% 208.32/208.37 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 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).
% 208.32/208.37 0 [] -hBOOL(c_in(V_x,c_ATP__Linkup_Osko__Set__Xset__insert__1__1(V_A,V_x,T_a),T_a))| -hBOOL(c_in(V_x,V_A,T_a)).
% 208.32/208.37 0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 208.32/208.37 0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 208.32/208.37 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 208.32/208.37 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 208.32/208.37 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 208.32/208.37 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(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))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(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))|hBOOL(c_in(V_x,V_B,T_a)).
% 208.32/208.37 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a),V_x))|hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofold__graph(V_f,V_a,V_A,V_x,T_a,T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofold__graph(V_times,V_z,c_Set_Oinsert(V_b,V_A,T_a),hAPP(hAPP(V_times,V_z),V_y),T_a,T_a)|hBOOL(c_in(V_b,V_A,T_a))| -c_Finite__Set_Ofold__graph(V_times,V_b,V_A,V_y,T_a,T_a)| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofold1(V_times,c_Set_Oinsert(V_x,V_A,T_a),T_a)=hAPP(hAPP(V_times,V_x),c_Finite__Set_Ofold1(V_times,V_A,T_a))|hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(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))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_B,T_a)).
% 208.32/208.37 0 [] c_Finite__Set_Ofold__graph(V_times,V_a,c_Set_Oinsert(V_b,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),V_x,T_a,T_a)|hBOOL(c_in(V_b,V_A,T_a))| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofold__graph(V_times,V_b,V_A,V_x,T_a,T_a)| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 208.32/208.37 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 208.32/208.37 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 208.32/208.37 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 208.32/208.37 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 208.32/208.37 0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 208.32/208.37 0 [] -c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 208.32/208.37 0 [] V_x=V_z| -c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(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),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a).
% 208.32/208.37 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))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(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),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 208.32/208.37 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Map_Odom(V_m1,T_a,T_b)),c_Map_Odom(V_m2,T_a,T_b))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_Map_Omap__add(V_m1,V_m2,T_a,T_b)=c_Map_Omap__add(V_m2,V_m1,T_a,T_b).
% 208.32/208.37 0 [] hAPP(V_f,V_x)!=c_Option_Ooption_ONone(T_a)|c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),c_Set_Oinsert(V_x,V_A,T_b),tc_fun(T_b,tc_bool))=c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool)).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(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)),V_y,T_a,T_b).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(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))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(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))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_B,T_a)).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] 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))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] 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))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),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)).
% 208.32/208.37 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).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun1=V_fun1_H.
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_com=V_com_H.
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun2=V_fun2_H.
% 208.32/208.37 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 208.32/208.37 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 208.32/208.37 0 [] hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k)!=c_Option_Ooption_OSome(V_x,T_a)|hAPP(V_n,V_k)=c_Option_Ooption_ONone(T_a)|hAPP(V_n,V_k)=c_Option_Ooption_OSome(V_x,T_a).
% 208.32/208.37 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),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)).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),V_x,T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a)).
% 208.32/208.37 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a)).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool))).
% 208.32/208.37 0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),V_A,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool))).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 208.32/208.37 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x.
% 208.32/208.37 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 208.32/208.37 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 208.32/208.37 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_a,V_b,T_a).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 208.32/208.37 0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,V_A,T_a)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 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))).
% 208.32/208.37 0 [] c_The(c_fe_qual(V_x,T_a),T_a)=V_x.
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 208.32/208.37 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Option_Othe(c_Option_Ooption_OSome(V_x,T_a),T_a)=V_x.
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -c_lesse_quals(V_b,V_a,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_lesse_quals(V_b,V_a,T_a)|V_a=V_b.
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))|V_A=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 208.32/208.37 0 [] V_A=V_B|c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -c_lesse_quals(V_a,V_b,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a)|V_a=V_b.
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 208.32/208.37 0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_c,V_d,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 208.32/208.37 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 208.32/208.37 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 208.32/208.37 0 [] V_A=c_Set_Oinsert(V_x,c_ATP__Linkup_Osko__Set__Xset__insert__1__1(V_A,V_x,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b)|hBOOL(c_in(V_x,V_A,T_a)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|hBOOL(c_in(V_x,V_B,T_a)).
% 208.32/208.37 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).
% 208.32/208.37 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 208.32/208.37 0 [] c_Collect(c_fe_qual(V_a,T_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 208.32/208.37 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)).
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 208.32/208.37 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))).
% 208.32/208.37 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).
% 208.32/208.37 0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)).
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 208.32/208.37 0 [] c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_x.
% 208.32/208.37 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).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] V_a=V_b| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)).
% 208.32/208.37 0 [] c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_x.
% 208.32/208.37 0 [] V_y=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)| -hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)).
% 208.32/208.37 0 [] c_Finite__Set_Ofold1(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 208.32/208.37 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 208.32/208.37 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,V_A,T_a).
% 208.32/208.37 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 208.32/208.37 0 [] c_Set_Oinsert(V_a,V_A,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)).
% 208.32/208.37 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 208.32/208.37 0 [] hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m)=hAPP(V_l1,V_m)|hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)).
% 208.32/208.37 0 [] hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m)=hAPP(V_l2,V_m)|hBOOL(c_in(V_m,c_Map_Odom(V_l1,T_a,T_b),T_a)).
% 208.32/208.37 0 [] hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a))|hAPP(V_m,V_a)=c_Option_Ooption_ONone(T_b).
% 208.32/208.37 0 [] hAPP(V_m,V_a)!=c_Option_Ooption_ONone(T_b)| -hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)).
% 208.32/208.37 0 [] hAPP(V_m,V_a)!=c_Option_Ooption_OSome(V_b,T_a)|hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)).
% 208.32/208.37 0 [] hAPP(V_m_092_060_094isub_0621,V_x)=hAPP(V_m_092_060_094isub_0622,V_x)| -hBOOL(c_in(V_x,c_Map_Odom(V_m_092_060_094isub_0621,T_a,T_b),T_a))| -c_Map_Omap__le(V_m_092_060_094isub_0621,V_m_092_060_094isub_0622,T_a,T_b).
% 208.32/208.37 0 [] hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m)=hAPP(V_l2,V_m)| -hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)).
% 208.32/208.37 0 [] hAPP(V_f,V_x)!=c_Option_Ooption_OSome(V_y,T_a)|c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_b,T_a),T_b)=c_Map_Odom(V_f,T_b,T_a).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(hAPP(c_Com_Obody,V_pn),tc_Com_Ocom),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(hAPP(c_Com_Obody,V_pn),tc_Com_Ocom),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 208.32/208.37 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] c_Set_Oinsert(V_x,V_xa,T_b)!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))|hBOOL(c_in(V_x,V_xa,T_b))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 208.32/208.37 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 208.32/208.37 0 [] c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 208.32/208.37 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 208.32/208.37 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 208.32/208.37 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 208.32/208.37 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 208.32/208.37 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.
% 208.32/208.37 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.
% 208.32/208.37 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.
% 208.32/208.37 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.
% 208.32/208.37 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)).
% 208.32/208.37 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a).
% 208.32/208.37 0 [] c_Hoare__Mirabelle_Ostate__not__singleton|V_x=V_xa.
% 208.32/208.37 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 208.32/208.37 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).
% 208.32/208.37 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 208.32/208.37 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)).
% 208.32/208.37 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 208.32/208.37 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 208.32/208.37 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 208.32/208.37 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).
% 208.32/208.37 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 208.32/208.37 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 208.32/208.37 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).
% 208.32/208.38 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.
% 208.32/208.38 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)).
% 208.32/208.38 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)).
% 208.32/208.38 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 208.32/208.38 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 208.32/208.38 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.
% 208.32/208.38 0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 208.32/208.38 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 208.32/208.38 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 208.32/208.38 0 [] c_Hoare__Mirabelle_Ostate__not__singleton.
% 208.32/208.38 0 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OSKIP),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 208.32/208.38 0 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(V_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -hBOOL(c_in(V_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)).
% 208.32/208.38 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 208.32/208.38 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 208.32/208.38 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 208.32/208.38 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 208.32/208.38 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 208.32/208.38 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).
% 208.32/208.38 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 208.32/208.38 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 208.32/208.38 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 208.32/208.38 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 208.32/208.38 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 208.32/208.38 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 208.32/208.38 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 208.32/208.38 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 208.32/208.38 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 208.32/208.38 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 208.32/208.38 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 208.32/208.38 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 208.32/208.38 0 [] class_Orderings_Opreorder(tc_bool).
% 208.32/208.38 0 [] class_Lattices_Olattice(tc_bool).
% 208.32/208.38 0 [] class_Orderings_Oorder(tc_bool).
% 208.32/208.38 0 [] class_Orderings_Obot(tc_bool).
% 208.32/208.38 0 [] class_HOL_Ominus(tc_bool).
% 208.32/208.38 0 [] class_HOL_Oord(tc_bool).
% 208.32/208.38 0 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1).
% 208.32/208.38 0 [] hBOOL(hAPP(c_fe_qual(V_x,T_a),V_x)).
% 208.32/208.38 0 [] V_X=V_Y| -hBOOL(hAPP(c_fe_qual(V_X,T_a),V_Y)).
% 208.32/208.38 end_of_list.
% 208.32/208.38
% 208.32/208.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 208.32/208.38
% 208.32/208.38 This ia a non-Horn set with equality. The strategy will be
% 208.32/208.38 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 208.32/208.38 deletion, with positive clauses in sos and nonpositive
% 208.32/208.38 clauses in usable.
% 208.32/208.38
% 208.32/208.38 dependent: set(knuth_bendix).
% 208.32/208.38 dependent: set(anl_eq).
% 208.32/208.38 dependent: set(para_from).
% 208.32/208.38 dependent: set(para_into).
% 208.32/208.38 dependent: clear(para_from_right).
% 208.32/208.38 dependent: clear(para_into_right).
% 208.32/208.38 dependent: set(para_from_vars).
% 208.32/208.38 dependent: set(eq_units_both_ways).
% 208.32/208.38 dependent: set(dynamic_demod_all).
% 208.32/208.38 dependent: set(dynamic_demod).
% 208.32/208.38 dependent: set(order_eq).
% 208.32/208.38 dependent: set(back_demod).
% 208.32/208.38 dependent: set(lrpo).
% 208.32/208.38 dependent: set(hyper_res).
% 208.32/208.38 dependent: set(unit_deletion).
% 208.32/208.38 dependent: set(factor).
% 208.32/208.38
% 208.32/208.38 ------------> process usable:
% 208.32/208.38 ** KEPT (pick-wt=14): 1 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 208.32/208.38 ** KEPT (pick-wt=18): 2 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)).
% 208.32/208.38 ** KEPT (pick-wt=14): 3 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 208.32/208.38 ** KEPT (pick-wt=8): 4 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 208.32/208.38 ** KEPT (pick-wt=18): 5 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),c_Collect(A,C)),C)).
% 208.32/208.38 ** KEPT (pick-wt=26): 6 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),D)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 208.32/208.38 ** KEPT (pick-wt=10): 7 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 208.32/208.38 ** KEPT (pick-wt=10): 8 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 208.32/208.38 Following clause subsumed by 7 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 208.32/208.38 ** KEPT (pick-wt=10): 9 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 208.32/208.38 Following clause subsumed by 7 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 208.32/208.38 Following clause subsumed by 9 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 208.32/208.38 Following clause subsumed by 7 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 208.32/208.38 ** KEPT (pick-wt=14): 10 [] -class_HOL_Oord(A)| -c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(C,B,tc_fun(D,A)).
% 208.32/208.38 ** KEPT (pick-wt=10): 11 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 208.32/208.38 ** KEPT (pick-wt=6): 12 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 208.32/208.38 Following clause subsumed by 12 during input processing: 0 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 208.32/208.38 ** KEPT (pick-wt=14): 13 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 208.32/208.38 ** KEPT (pick-wt=14): 14 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 208.32/208.38 ** KEPT (pick-wt=25): 15 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(B,A),c_Finite__Set_Olinorder__class_OMax(C,A),A)| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 208.32/208.38 ** KEPT (pick-wt=17): 16 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 208.32/208.38 ** KEPT (pick-wt=17): 17 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 208.32/208.38 ** KEPT (pick-wt=17): 18 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 208.32/208.38 ** KEPT (pick-wt=17): 19 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 208.32/208.38 ** KEPT (pick-wt=16): 20 [] 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)).
% 208.32/208.38 ** KEPT (pick-wt=16): 21 [] 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)).
% 208.32/208.38 ** KEPT (pick-wt=14): 22 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -c_lesse_quals(B,C,A).
% 208.32/208.38 ** KEPT (pick-wt=14): 23 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|c_lesse_quals(B,C,A).
% 208.32/208.38 ** KEPT (pick-wt=14): 24 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -c_lesse_quals(C,B,A).
% 208.32/208.38 ** KEPT (pick-wt=23): 25 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 208.32/208.38 Following clause subsumed by 25 during input processing: 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 208.32/208.38 ** KEPT (pick-wt=17): 26 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 208.32/208.38 ** KEPT (pick-wt=9): 27 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 208.32/208.38 ** KEPT (pick-wt=9): 28 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 208.32/208.38 Following clause subsumed by 26 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 208.32/208.38 Following clause subsumed by 26 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 208.32/208.38 ** KEPT (pick-wt=9): 29 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 208.32/208.38 ** KEPT (pick-wt=9): 30 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 208.32/208.38 ** KEPT (pick-wt=15): 31 [] -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).
% 208.32/208.38 ** KEPT (pick-wt=15): 32 [] -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).
% 208.32/208.38 ** KEPT (pick-wt=19): 33 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 208.32/208.38 ** KEPT (pick-wt=27): 34 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,A)),A).
% 208.32/208.38 ** KEPT (pick-wt=25): 35 [] hAPP(c_Map_Omap__add(A,B,C,D),E)!=c_Option_Ooption_OSome(F,D)|hAPP(A,E)=c_Option_Ooption_OSome(F,D)|hAPP(B,E)=c_Option_Ooption_OSome(F,D).
% 208.32/208.38 ** KEPT (pick-wt=24): 36 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|hAPP(E,B)!=c_Option_Ooption_ONone(D)|hAPP(c_Map_Omap__add(A,E,F,D),B)=c_Option_Ooption_OSome(C,D).
% 208.32/208.38 ** KEPT (pick-wt=16): 37 [] hAPP(c_Map_Omap__add(A,B,C,D),E)!=c_Option_Ooption_ONone(D)|hAPP(A,E)=c_Option_Ooption_ONone(D).
% 208.32/208.38 ** KEPT (pick-wt=16): 38 [] hAPP(c_Map_Omap__add(A,B,C,D),E)!=c_Option_Ooption_ONone(D)|hAPP(B,E)=c_Option_Ooption_ONone(D).
% 208.32/208.38 ** KEPT (pick-wt=20): 39 [] 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)).
% 208.32/208.38 ** KEPT (pick-wt=19): 40 [] -class_HOL_Ominus(A)|hAPP(c_HOL_Ominus__class_Ominus(B,C,tc_fun(t_a,A)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(B,v_x),hAPP(C,v_x),A).
% 208.32/208.38 ** KEPT (pick-wt=19): 41 [] 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)).
% 208.32/208.38 ** KEPT (pick-wt=19): 42 [] 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)).
% 208.32/208.38 ** KEPT (pick-wt=15): 43 [] -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).
% 208.32/208.38 ** KEPT (pick-wt=15): 44 [] -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).
% 208.32/208.38 ** KEPT (pick-wt=15): 45 [] -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).
% 208.32/208.38 ** KEPT (pick-wt=15): 46 [] -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).
% 208.32/208.38 Following clause subsumed by 43 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).
% 208.32/208.38 Following clause subsumed by 44 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).
% 208.32/208.38 ** KEPT (pick-wt=38): 47 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 208.32/208.38 ** KEPT (pick-wt=11): 48 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 208.32/208.38 ** KEPT (pick-wt=11): 49 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 208.32/208.38 ** KEPT (pick-wt=26): 50 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_lesse_quals(E,B,A)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(E,B,A),c_SetInterval_Oord__class_OatLeastAtMost(D,C,A),tc_fun(A,tc_bool)).
% 208.32/208.38 ** KEPT (pick-wt=14): 51 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 208.32/208.38 ** KEPT (pick-wt=14): 52 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 208.32/208.38 ** KEPT (pick-wt=55): 53 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A)| -c_OrderedGroup_Oab__semigroup__mult(D,A)|c_Finite__Set_Ofold1(D,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool)),A)=hAPP(hAPP(D,c_Finite__Set_Ofold1(D,B,A)),c_Finite__Set_Ofold1(D,C,A)).
% 208.32/208.38 ** KEPT (pick-wt=5): 54 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 208.32/208.38 ** KEPT (pick-wt=19): 55 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),c_Collect(D,C)),C)).
% 208.32/208.38 ** KEPT (pick-wt=22): 56 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)|hAPP(D,B)!=c_Option_Ooption_ONone(C)|hAPP(c_Map_Omap__add(A,D,E,C),B)=c_Option_Ooption_ONone(C).
% 208.33/208.38 ** KEPT (pick-wt=18): 57 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|hAPP(c_Map_Omap__add(E,A,F,D),B)=c_Option_Ooption_OSome(C,D).
% 208.33/208.38 Following clause subsumed by 57 during input processing: 0 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|hAPP(c_Map_Omap__add(E,A,F,D),B)=c_Option_Ooption_OSome(C,D).
% 208.33/208.38 ** KEPT (pick-wt=15): 58 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),A),B)).
% 208.33/208.38 ** KEPT (pick-wt=15): 59 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),D),B)).
% 208.33/208.38 ** KEPT (pick-wt=22): 60 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=22): 61 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=22): 62 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=22): 63 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=13): 64 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 208.33/208.38 ** KEPT (pick-wt=13): 65 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 208.33/208.38 ** KEPT (pick-wt=13): 66 [] 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).
% 208.33/208.38 ** KEPT (pick-wt=13): 67 [] 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).
% 208.33/208.38 ** KEPT (pick-wt=28): 68 [] c_Map_Omap__le(c_Map_Omap__add(A,B,C,D),E,C,D)| -c_Map_Omap__le(A,c_Map_Omap__add(A,B,C,D),C,D)| -c_Map_Omap__le(B,E,C,D)| -c_Map_Omap__le(A,E,C,D).
% 208.33/208.38 ** KEPT (pick-wt=16): 69 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 208.33/208.38 ** KEPT (pick-wt=22): 70 [] 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)).
% 208.33/208.38 Following clause subsumed by 70 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)).
% 208.33/208.38 ** KEPT (pick-wt=16): 71 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 208.33/208.38 Following clause subsumed by 71 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)).
% 208.33/208.38 Following clause subsumed by 71 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)).
% 208.33/208.38 Following clause subsumed by 71 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)).
% 208.33/208.38 ** KEPT (pick-wt=15): 72 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 208.33/208.38 ** KEPT (pick-wt=15): 73 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 208.33/208.38 ** KEPT (pick-wt=20): 74 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C)).
% 208.33/208.38 ** KEPT (pick-wt=26): 75 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,A))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D),A).
% 208.33/208.38 ** KEPT (pick-wt=19): 76 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 208.33/208.38 ** KEPT (pick-wt=21): 77 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))=B.
% 208.33/208.38 ** KEPT (pick-wt=10): 78 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofold__graph(C,D,A,E,B,F).
% 208.33/208.38 ** KEPT (pick-wt=22): 79 [] 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)).
% 208.33/208.38 ** KEPT (pick-wt=16): 80 [] 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).
% 208.33/208.38 ** KEPT (pick-wt=17): 81 [] -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)).
% 208.33/208.38 ** KEPT (pick-wt=19): 82 [] 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)).
% 208.33/208.38 ** KEPT (pick-wt=17): 83 [] c_lesse_quals(c_Map_Odom(A,B,C),c_Map_Odom(D,B,C),tc_fun(B,tc_bool))| -c_Map_Omap__le(A,D,B,C).
% 208.33/208.38 ** KEPT (pick-wt=28): 84 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(C,D,A))| -c_lesse_quals(B,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),D,A),A)|D=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(D,A).
% 208.33/208.38 ** KEPT (pick-wt=11): 85 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 208.33/208.38 ** KEPT (pick-wt=17): 87 [copy,86,flip.2] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Complete__Lattice_OInf__class_OInf(C,A))=c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,C,A),A).
% 208.33/208.38 ** KEPT (pick-wt=15): 88 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Complete__Lattice_OSup__class_OSup(C,A),A).
% 208.33/208.38 ** KEPT (pick-wt=14): 89 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B).
% 208.33/208.38 Following clause subsumed by 85 during input processing: 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 208.33/208.38 ** KEPT (pick-wt=14): 90 [] c_Map_Omap__le(A,B,C,D)| -c_Map_Omap__le(c_Map_Omap__add(E,A,C,D),B,C,D).
% 208.33/208.38 ** KEPT (pick-wt=22): 91 [] 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).
% 208.33/208.38 ** KEPT (pick-wt=15): 92 [] c_Map_Omap__le(A,B,C,D)| -c_Map_Omap__le(E,B,C,D)| -c_Map_Omap__le(A,E,C,D).
% 208.33/208.38 ** KEPT (pick-wt=25): 93 [] 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)).
% 208.33/208.38 ** KEPT (pick-wt=27): 94 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 208.33/208.38 ** KEPT (pick-wt=14): 95 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 208.33/208.38 Following clause subsumed by 95 during input processing: 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 208.33/208.38 ** KEPT (pick-wt=22): 96 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 208.33/208.38 ** KEPT (pick-wt=22): 97 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=22): 98 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=33): 100 [copy,99,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool)))!=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))|c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=33): 102 [copy,101,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=6): 103 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 208.33/208.38 Following clause subsumed by 103 during input processing: 0 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 208.33/208.38 ** KEPT (pick-wt=10): 104 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_OSome(C,B)|A=C.
% 208.33/208.38 ** KEPT (pick-wt=22): 105 [] hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_OrderedGroup_Oab__semigroup__mult(A,E).
% 208.33/208.38 ** KEPT (pick-wt=22): 106 [] hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))=hAPP(hAPP(A,C),hAPP(hAPP(A,B),D))| -c_OrderedGroup_Oab__semigroup__mult(A,E).
% 208.33/208.38 ** KEPT (pick-wt=14): 107 [] hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_OrderedGroup_Oab__semigroup__mult(A,D).
% 208.33/208.38 ** KEPT (pick-wt=18): 108 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 208.33/208.38 ** KEPT (pick-wt=17): 109 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 208.33/208.38 ** KEPT (pick-wt=13): 110 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 208.33/208.38 ** KEPT (pick-wt=13): 111 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 208.33/208.38 ** KEPT (pick-wt=25): 112 [] -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)).
% 208.33/208.38 ** KEPT (pick-wt=25): 113 [] -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)).
% 208.33/208.38 ** KEPT (pick-wt=25): 114 [] -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)).
% 208.33/208.38 ** KEPT (pick-wt=25): 115 [] -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)).
% 208.33/208.38 ** KEPT (pick-wt=11): 116 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 208.33/208.38 ** KEPT (pick-wt=11): 117 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 208.33/208.38 ** KEPT (pick-wt=20): 118 [] c_Map_Omap__add(A,B,C,D)=c_Map_Omap__add(B,A,C,D)| -c_Map_Omap__le(A,c_Map_Omap__add(A,B,C,D),C,D).
% 208.33/208.38 ** KEPT (pick-wt=20): 119 [] c_Map_Omap__add(A,B,C,D)!=c_Map_Omap__add(B,A,C,D)|c_Map_Omap__le(A,c_Map_Omap__add(A,B,C,D),C,D).
% 208.33/208.38 ** KEPT (pick-wt=28): 120 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=25): 121 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),c_Lattices_Oupper__semilattice__class_Osup(B,D,A)),A).
% 208.33/208.38 ** KEPT (pick-wt=14): 122 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 208.33/208.38 ** KEPT (pick-wt=6): 123 [] -c_HOL_Oord__class_Oless(A,A,tc_fun(B,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=20): 124 [] -class_HOL_Oord(A)|c_HOL_Oord__class_Oless(B,C,tc_fun(D,A))|c_lesse_quals(C,B,tc_fun(D,A))| -c_lesse_quals(B,C,tc_fun(D,A)).
% 208.33/208.38 ** KEPT (pick-wt=6): 125 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 208.33/208.38 ** KEPT (pick-wt=6): 126 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 208.33/208.38 ** KEPT (pick-wt=6): 127 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 208.33/208.38 ** KEPT (pick-wt=13): 128 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),A)=B.
% 208.33/208.38 ** KEPT (pick-wt=15): 129 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_HOL_Oord__class_Oless(C,B,A).
% 208.33/208.38 ** KEPT (pick-wt=30): 130 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(D,E,A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 208.33/208.38 ** KEPT (pick-wt=30): 131 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(D,E,A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 208.33/208.38 ** KEPT (pick-wt=13): 132 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 208.33/208.38 ** KEPT (pick-wt=13): 133 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 208.33/208.38 ** KEPT (pick-wt=15): 134 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 208.33/208.38 Following clause subsumed by 134 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)).
% 208.33/208.38 ** KEPT (pick-wt=13): 135 [] A=B| -c_Map_Omap__le(B,A,C,D)| -c_Map_Omap__le(A,B,C,D).
% 208.33/208.38 ** KEPT (pick-wt=13): 136 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 208.33/208.38 Following clause subsumed by 133 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 208.33/208.38 Following clause subsumed by 136 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 208.33/208.38 Following clause subsumed by 136 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 208.33/208.38 Following clause subsumed by 133 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 208.33/208.38 Following clause subsumed by 133 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 208.33/208.38 ** KEPT (pick-wt=13): 137 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Lattices_Oupper__semilattice__class_Osup(B,C,A))=B.
% 208.33/208.38 ** KEPT (pick-wt=15): 138 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 208.33/208.38 ** KEPT (pick-wt=15): 139 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 208.33/208.38 ** KEPT (pick-wt=12): 140 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=14): 141 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(B,C,tc_fun(D,A)).
% 208.33/208.38 ** KEPT (pick-wt=10): 142 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 208.33/208.38 ** KEPT (pick-wt=10): 143 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 208.33/208.38 ** KEPT (pick-wt=12): 144 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 208.33/208.38 ** KEPT (pick-wt=12): 145 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 208.33/208.38 ** KEPT (pick-wt=12): 146 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 208.33/208.38 ** KEPT (pick-wt=14): 147 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=14): 148 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=14): 149 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=10): 150 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 208.33/208.38 ** KEPT (pick-wt=13): 151 [] -hBOOL(c_in(A,c_ATP__Linkup_Osko__Set__Xset__insert__1__1(B,A,C),C))| -hBOOL(c_in(A,B,C)).
% 208.33/208.38 ** KEPT (pick-wt=15): 152 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 208.33/208.38 ** KEPT (pick-wt=15): 153 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 208.33/208.38 ** KEPT (pick-wt=16): 154 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=17): 155 [] 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)).
% 208.33/208.38 ** KEPT (pick-wt=17): 156 [] 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)).
% 208.33/208.38 ** KEPT (pick-wt=11): 157 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 208.33/208.38 ** KEPT (pick-wt=11): 158 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 208.33/208.38 ** KEPT (pick-wt=20): 159 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 208.33/208.38 Following clause subsumed by 159 during input processing: 0 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 208.33/208.38 ** KEPT (pick-wt=23): 160 [] 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)).
% 208.33/208.38 Following clause subsumed by 160 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)).
% 208.33/208.38 ** KEPT (pick-wt=16): 161 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 208.33/208.38 Following clause subsumed by 161 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 208.33/208.38 Following clause subsumed by 161 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 208.33/208.38 ** KEPT (pick-wt=16): 162 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 208.33/208.38 Following clause subsumed by 162 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 208.33/208.38 ** KEPT (pick-wt=23): 163 [] 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).
% 208.33/208.38 ** KEPT (pick-wt=23): 164 [] 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).
% 208.33/208.38 ** KEPT (pick-wt=21): 165 [] 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)).
% 208.33/208.38 Following clause subsumed by 165 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)).
% 208.33/208.38 ** KEPT (pick-wt=16): 166 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 208.33/208.38 Following clause subsumed by 166 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 208.33/208.38 Following clause subsumed by 166 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 208.33/208.38 Following clause subsumed by 166 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 208.33/208.38 ** KEPT (pick-wt=18): 167 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 208.33/208.38 ** KEPT (pick-wt=18): 168 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 208.33/208.38 ** KEPT (pick-wt=26): 169 [] c_HOL_Oord__class_Oless(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))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=25): 170 [] c_HOL_Oord__class_Oless(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))|hBOOL(c_in(B,C,D)).
% 208.33/208.38 ** KEPT (pick-wt=25): 171 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))|hBOOL(c_in(D,B,C))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 208.33/208.38 ** KEPT (pick-wt=22): 172 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Set_Oinsert(B,C,D),D),E))|hBOOL(c_in(B,C,D))| -c_Finite__Set_Ofold__graph(A,B,C,E,D,D).
% 208.33/208.38 ** KEPT (pick-wt=29): 173 [] c_Finite__Set_Ofold__graph(A,B,c_Set_Oinsert(C,D,E),hAPP(hAPP(A,B),F),E,E)|hBOOL(c_in(C,D,E))| -c_Finite__Set_Ofold__graph(A,C,D,F,E,E)| -c_OrderedGroup_Oab__semigroup__mult(A,E).
% 208.33/208.38 ** KEPT (pick-wt=33): 175 [copy,174,flip.1] hAPP(hAPP(A,B),c_Finite__Set_Ofold1(A,C,D))=c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,C,D),D)|hBOOL(c_in(B,C,D))| -c_Finite__Set_Ofinite(C,D)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -c_OrderedGroup_Oab__semigroup__mult(A,D).
% 208.33/208.38 ** KEPT (pick-wt=37): 176 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|hBOOL(c_in(B,C,D)).
% 208.33/208.38 ** KEPT (pick-wt=41): 177 [] c_Finite__Set_Ofold__graph(A,B,c_Set_Oinsert(C,c_HOL_Ominus__class_Ominus(D,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E),F,E,E)|hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Finite__Set_Ofold__graph(A,C,D,F,E,E)| -c_OrderedGroup_Oab__semigroup__mult(A,E).
% 208.33/208.38 ** KEPT (pick-wt=9): 178 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 208.33/208.38 ** KEPT (pick-wt=9): 179 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 208.33/208.38 ** KEPT (pick-wt=12): 180 [] -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).
% 208.33/208.38 ** KEPT (pick-wt=12): 181 [] -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).
% 208.33/208.38 ** KEPT (pick-wt=7): 182 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 208.33/208.38 ** KEPT (pick-wt=13): 183 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 208.33/208.39 ** KEPT (pick-wt=13): 184 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 208.33/208.39 ** KEPT (pick-wt=16): 185 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=18): 186 [] 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).
% 208.33/208.39 ** KEPT (pick-wt=18): 187 [] 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).
% 208.33/208.39 ** KEPT (pick-wt=12): 188 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 208.33/208.39 ** KEPT (pick-wt=15): 189 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=12): 190 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 208.33/208.39 ** KEPT (pick-wt=10): 191 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 208.33/208.39 ** KEPT (pick-wt=9): 192 [] -c_HOL_Oord__class_Oless(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=13): 193 [] A=B| -c_Finite__Set_Ofold__graph(C,B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),A,D,E).
% 208.33/208.39 ** KEPT (pick-wt=16): 194 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=17): 195 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=17): 196 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=19): 197 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 208.33/208.39 ** KEPT (pick-wt=32): 198 [] 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))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=21): 199 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 208.33/208.39 ** KEPT (pick-wt=18): 200 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=24): 201 [] 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).
% 208.33/208.39 ** KEPT (pick-wt=24): 202 [] 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).
% 208.33/208.39 ** KEPT (pick-wt=9): 203 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 208.33/208.39 ** KEPT (pick-wt=9): 204 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 208.33/208.39 ** KEPT (pick-wt=15): 205 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=15): 206 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=30): 207 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Map_Odom(B,A,C)),c_Map_Odom(D,A,C))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_Map_Omap__add(B,D,A,C)=c_Map_Omap__add(D,B,A,C).
% 208.33/208.39 ** KEPT (pick-wt=28): 208 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)|c_HOL_Ominus__class_Ominus(c_Map_Odom(A,D,C),c_Set_Oinsert(B,E,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_Map_Odom(A,D,C),E,tc_fun(D,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=8): 209 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,B,C).
% 208.33/208.39 ** KEPT (pick-wt=34): 210 [] c_Finite__Set_Ofold__graph(A,B,C,hAPP(hAPP(A,D),E),F,G)| -hBOOL(c_in(D,C,F))| -c_Finite__Set_Ofold__graph(A,B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool)),F),tc_fun(F,tc_bool)),E,F,G).
% 208.33/208.39 ** KEPT (pick-wt=37): 211 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=36): 212 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|hBOOL(c_in(B,C,D)).
% 208.33/208.39 ** KEPT (pick-wt=36): 213 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -hBOOL(c_in(B,A,C))|hBOOL(c_in(B,D,C))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=31): 214 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 208.33/208.39 Following clause subsumed by 214 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=31): 215 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -hBOOL(c_in(B,A,C))| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=23): 216 [] -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)).
% 208.33/208.39 ** KEPT (pick-wt=25): 217 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=25): 218 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=20): 219 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=25): 220 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),c_Finite__Set_Olinorder__class_OMin(C,A),A)| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=14): 221 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 208.33/208.39 ** KEPT (pick-wt=14): 222 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 208.33/208.39 ** KEPT (pick-wt=14): 223 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 208.33/208.39 ** KEPT (pick-wt=18): 224 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),B,A),C,A)| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 208.33/208.39 ** KEPT (pick-wt=13): 225 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(B,A),C,A)| -hBOOL(c_in(C,B,A)).
% 208.33/208.39 ** KEPT (pick-wt=15): 226 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|c_lesse_quals(B,C,A).
% 208.33/208.39 ** KEPT (pick-wt=15): 227 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 208.33/208.39 ** KEPT (pick-wt=24): 228 [] hAPP(c_Map_Omap__add(A,B,C,D),E)!=c_Option_Ooption_OSome(F,D)|hAPP(B,E)=c_Option_Ooption_ONone(D)|hAPP(B,E)=c_Option_Ooption_OSome(F,D).
% 208.33/208.39 ** KEPT (pick-wt=28): 229 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=11): 230 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 208.33/208.39 ** KEPT (pick-wt=11): 231 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 208.33/208.39 ** KEPT (pick-wt=19): 232 [] -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).
% 208.33/208.39 Following clause subsumed by 232 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).
% 208.33/208.39 Following clause subsumed by 232 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).
% 208.33/208.39 ** KEPT (pick-wt=11): 233 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 208.33/208.39 ** KEPT (pick-wt=11): 234 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 208.33/208.39 ** KEPT (pick-wt=25): 235 [] 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)).
% 208.33/208.39 Following clause subsumed by 235 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)).
% 208.33/208.39 ** KEPT (pick-wt=24): 237 [copy,236,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),c_Lattices_Oupper__semilattice__class_Osup(D,C,A))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D),C,A).
% 208.33/208.39 ** KEPT (pick-wt=24): 239 [copy,238,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),c_Lattices_Oupper__semilattice__class_Osup(B,D,A))=c_Lattices_Oupper__semilattice__class_Osup(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 208.33/208.39 ** KEPT (pick-wt=20): 240 [] -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).
% 208.33/208.39 ** KEPT (pick-wt=20): 241 [] -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).
% 208.33/208.39 ** KEPT (pick-wt=19): 242 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)),C).
% 208.33/208.39 ** KEPT (pick-wt=19): 243 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),D).
% 208.33/208.39 ** KEPT (pick-wt=10): 244 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B.
% 208.33/208.39 ** KEPT (pick-wt=13): 245 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 208.33/208.39 ** KEPT (pick-wt=13): 246 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 208.33/208.39 ** KEPT (pick-wt=13): 247 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 208.33/208.39 ** KEPT (pick-wt=13): 248 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 208.33/208.39 Following clause subsumed by 245 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 208.33/208.39 Following clause subsumed by 246 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 208.33/208.39 ** KEPT (pick-wt=17): 249 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=17): 250 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=23): 251 [] -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)).
% 208.33/208.39 ** KEPT (pick-wt=14): 252 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 208.33/208.39 ** KEPT (pick-wt=14): 253 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 208.33/208.39 ** KEPT (pick-wt=14): 254 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(D,C,A).
% 208.33/208.39 ** KEPT (pick-wt=14): 255 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 208.33/208.39 ** KEPT (pick-wt=18): 256 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=14): 257 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=6): 258 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 208.33/208.39 ** KEPT (pick-wt=6): 259 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 208.33/208.39 ** KEPT (pick-wt=12): 260 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=18): 261 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=18): 262 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 208.33/208.39 Following clause subsumed by 257 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 208.33/208.39 Following clause subsumed by 260 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).
% 208.33/208.39 ** KEPT (pick-wt=14): 263 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_lesse_quals(B,D,A).
% 208.33/208.39 ** KEPT (pick-wt=14): 264 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 208.33/208.39 ** KEPT (pick-wt=18): 265 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),tc_fun(A,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=32): 266 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=15): 267 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 208.33/208.39 ** KEPT (pick-wt=15): 268 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 208.33/208.39 ** KEPT (pick-wt=23): 269 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),c_Collect(D,B)),B))| -hBOOL(hAPP(D,A))| -hBOOL(c_in(A,C,B)).
% 208.33/208.39 ** KEPT (pick-wt=14): 270 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 208.33/208.39 ** KEPT (pick-wt=14): 271 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 208.33/208.39 ** KEPT (pick-wt=16): 272 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),C,A)| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 208.33/208.39 ** KEPT (pick-wt=19): 273 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=25): 274 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=19): 275 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 208.33/208.39 ** KEPT (pick-wt=19): 276 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 208.33/208.39 ** KEPT (pick-wt=19): 277 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 208.33/208.39 ** KEPT (pick-wt=19): 278 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,E,A).
% 208.33/208.39 ** KEPT (pick-wt=20): 279 [] 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)).
% 208.33/208.39 Following clause subsumed by 279 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)).
% 208.33/208.39 ** KEPT (pick-wt=13): 280 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 208.33/208.39 Following clause subsumed by 280 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 208.33/208.39 ** KEPT (pick-wt=15): 281 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))|A=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=13): 282 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 208.33/208.39 Following clause subsumed by 282 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 208.33/208.39 Following clause subsumed by 281 during input processing: 0 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 208.33/208.39 Following clause subsumed by 282 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 208.33/208.39 Following clause subsumed by 282 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 208.33/208.39 ** KEPT (pick-wt=13): 283 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 208.33/208.39 Following clause subsumed by 283 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 208.33/208.39 ** KEPT (pick-wt=16): 284 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Finite__Set_Olinorder__class_OMax(C,A),A)| -hBOOL(c_in(B,C,A))| -c_Finite__Set_Ofinite(C,A).
% 208.33/208.39 ** KEPT (pick-wt=22): 285 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(D,E,A)|c_lesse_quals(B,C,A).
% 208.33/208.39 ** KEPT (pick-wt=13): 286 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(c_in(B,C,A)).
% 208.33/208.39 ** KEPT (pick-wt=10): 287 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 208.33/208.39 ** KEPT (pick-wt=10): 288 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 208.33/208.39 ** KEPT (pick-wt=10): 289 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 208.33/208.39 ** KEPT (pick-wt=10): 290 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 208.33/208.39 Following clause subsumed by 290 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 208.33/208.39 ** KEPT (pick-wt=28): 291 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=28): 292 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=20): 293 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,C,D))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=20): 294 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -hBOOL(c_in(D,B,C))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=21): 295 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 208.33/208.39 ** KEPT (pick-wt=14): 297 [copy,296,flip.1] c_Set_Oinsert(A,c_ATP__Linkup_Osko__Set__Xset__insert__1__1(B,A,C),C)=B| -hBOOL(c_in(A,B,C)).
% 208.33/208.39 ** KEPT (pick-wt=14): 298 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 208.33/208.39 ** KEPT (pick-wt=21): 299 [] 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)).
% 208.33/208.39 Following clause subsumed by 205 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)).
% 208.33/208.39 ** KEPT (pick-wt=20): 300 [] 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)).
% 208.33/208.39 Following clause subsumed by 205 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)).
% 208.33/208.39 Following clause subsumed by 300 during input processing: 0 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=26): 301 [] c_Finite__Set_Ofold__graph(A,B,c_Set_Oinsert(C,D,E),hAPP(hAPP(A,C),F),E,G)| -c_Finite__Set_Ofold__graph(A,B,D,F,E,G)|hBOOL(c_in(C,D,E)).
% 208.33/208.39 ** KEPT (pick-wt=11): 302 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 208.33/208.39 ** KEPT (pick-wt=11): 303 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A).
% 208.33/208.39 ** KEPT (pick-wt=27): 304 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=21): 305 [] 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).
% 208.33/208.39 ** KEPT (pick-wt=21): 306 [] 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).
% 208.33/208.39 ** KEPT (pick-wt=13): 307 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 208.33/208.39 ** KEPT (pick-wt=13): 308 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 208.33/208.39 ** KEPT (pick-wt=28): 309 [] 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).
% 208.33/208.39 ** KEPT (pick-wt=28): 310 [] 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).
% 208.33/208.39 ** KEPT (pick-wt=16): 311 [] A=B| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(C,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D),B)).
% 208.33/208.39 ** KEPT (pick-wt=21): 312 [] A=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)| -hBOOL(hAPP(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),A)).
% 208.33/208.39 ** KEPT (pick-wt=13): 313 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 208.33/208.39 ** KEPT (pick-wt=14): 315 [copy,314,flip.2] -class_Orderings_Oorder(A)|c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A).
% 208.33/208.39 ** KEPT (pick-wt=13): 316 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 208.33/208.39 ** KEPT (pick-wt=14): 317 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)| -hBOOL(c_in(B,c_Map_Odom(A,D,C),D)).
% 208.33/208.39 ** KEPT (pick-wt=15): 318 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|hBOOL(c_in(B,c_Map_Odom(A,E,D),E)).
% 208.33/208.39 ** KEPT (pick-wt=20): 319 [] hAPP(A,B)=hAPP(C,B)| -hBOOL(c_in(B,c_Map_Odom(A,D,E),D))| -c_Map_Omap__le(A,C,D,E).
% 208.33/208.39 ** KEPT (pick-wt=19): 320 [] hAPP(c_Map_Omap__add(A,B,C,D),E)=hAPP(B,E)| -hBOOL(c_in(E,c_Map_Odom(B,C,D),C)).
% 208.33/208.39 ** KEPT (pick-wt=19): 321 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|c_Set_Oinsert(B,c_Map_Odom(A,E,D),E)=c_Map_Odom(A,E,D).
% 208.33/208.39 ** KEPT (pick-wt=46): 322 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OBODY(C),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OBODY(C),D,E),A,tc_Hoare__Mirabelle_Otriple(E)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Option_Othe(hAPP(c_Com_Obody,C),tc_Com_Ocom),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E).
% 208.33/208.39 ** KEPT (pick-wt=37): 323 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OBODY(C),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Option_Othe(hAPP(c_Com_Obody,C),tc_Com_Ocom),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E).
% 208.33/208.39 ** KEPT (pick-wt=22): 324 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -hBOOL(c_in(A,B,C)).
% 208.33/208.39 ** KEPT (pick-wt=20): 325 [] 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)).
% 208.33/208.39 ** KEPT (pick-wt=17): 326 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C))| -c_OrderedGroup_Oab__semigroup__mult(D,E).
% 208.33/208.39 ** KEPT (pick-wt=57): 327 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(B),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 208.33/208.39 ** KEPT (pick-wt=24): 328 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,C,tc_Hoare__Mirabelle_Otriple(D)),D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,C,D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(D),tc_bool)),tc_Hoare__Mirabelle_Otriple(D)),D).
% 208.33/208.40 ** KEPT (pick-wt=12): 329 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(D,B,tc_Hoare__Mirabelle_Otriple(C)),C).
% 208.33/208.40 ** KEPT (pick-wt=4): 330 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 208.33/208.40 ** KEPT (pick-wt=13): 331 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 208.33/208.40 Following clause subsumed by 331 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 208.33/208.40 ** KEPT (pick-wt=12): 332 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 208.33/208.40 ** KEPT (pick-wt=8): 333 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 208.33/208.40 Following clause subsumed by 333 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 208.33/208.40 Following clause subsumed by 333 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 208.33/208.40 Following clause subsumed by 333 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 208.33/208.40 ** KEPT (pick-wt=9): 334 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 208.33/208.40 ** KEPT (pick-wt=27): 335 [] 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.
% 208.33/208.40 ** KEPT (pick-wt=27): 336 [] 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.
% 208.33/208.40 ** KEPT (pick-wt=27): 337 [] 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.
% 208.33/208.40 ** KEPT (pick-wt=27): 338 [] 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.
% 208.33/208.40 ** KEPT (pick-wt=16): 339 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 208.33/208.40 ** KEPT (pick-wt=7): 340 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 208.33/208.40 ** KEPT (pick-wt=14): 341 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 208.33/208.40 ** KEPT (pick-wt=9): 342 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=14): 343 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 208.33/208.40 ** KEPT (pick-wt=9): 344 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 208.33/208.40 ** KEPT (pick-wt=9): 345 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 208.33/208.40 ** KEPT (pick-wt=18): 346 [] 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.
% 208.33/208.40 Following clause subsumed by 333 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 208.33/208.40 Following clause subsumed by 342 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 208.33/208.40 ** KEPT (pick-wt=20): 347 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,D,tc_Hoare__Mirabelle_Otriple(C)),C).
% 208.33/208.40 ** KEPT (pick-wt=11): 348 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 208.33/208.40 ** KEPT (pick-wt=22): 349 [] 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.
% 208.33/208.40 ** KEPT (pick-wt=8): 350 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 208.33/208.40 ** KEPT (pick-wt=11): 351 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 208.33/208.40 Following clause subsumed by 330 during input processing: 0 [flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 208.33/208.40 ** KEPT (pick-wt=13): 352 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OSKIP),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 208.33/208.40 ** KEPT (pick-wt=22): 353 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(A)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -hBOOL(c_in(A,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)).
% 208.33/208.40 ** KEPT (pick-wt=6): 354 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 208.33/208.40 ** KEPT (pick-wt=6): 355 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 208.33/208.40 ** KEPT (pick-wt=6): 356 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 208.33/208.40 ** KEPT (pick-wt=6): 357 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 208.33/208.40 ** KEPT (pick-wt=6): 358 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 208.33/208.40 ** KEPT (pick-wt=8): 359 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 208.33/208.40 ** KEPT (pick-wt=6): 360 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 208.33/208.40 ** KEPT (pick-wt=6): 361 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 208.33/208.40 ** KEPT (pick-wt=6): 362 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 208.33/208.40 ** KEPT (pick-wt=6): 363 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 208.33/208.40 ** KEPT (pick-wt=6): 364 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 208.33/208.40 ** KEPT (pick-wt=6): 365 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 208.33/208.40 ** KEPT (pick-wt=5): 366 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(A))| -class_Finite__Set_Ofinite_Ofinite(A).
% 208.33/208.40 ** KEPT (pick-wt=9): 367 [] A=B| -hBOOL(hAPP(c_fe_qual(A,C),B)).
% 208.33/208.40 9 back subsumes 8.
% 208.33/208.40 Following clause subsumed by 103 during input processing: 0 [copy,12,flip.1] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 208.33/208.40 Following clause subsumed by 12 during input processing: 0 [copy,103,flip.1] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 208.33/208.40 156 back subsumes 55.
% 208.33/208.40 205 back subsumes 198.
% 208.33/208.40 Following clause subsumed by 342 during input processing: 0 [copy,334,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 208.33/208.40 Following clause subsumed by 334 during input processing: 0 [copy,342,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 208.33/208.40 342 back subsumes 326.
% 208.33/208.40
% 208.33/208.40 ------------> process sos:
% 208.33/208.40 ** KEPT (pick-wt=3): 411 [] A=A.
% 208.33/208.40 ** KEPT (pick-wt=18): 412 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 413 [new_demod,412] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=17): 414 [] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 208.33/208.40 ---> New Demodulator: 415 [new_demod,414] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 208.33/208.40 ** KEPT (pick-wt=8): 416 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 208.33/208.40 ---> New Demodulator: 417 [new_demod,416] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 208.33/208.40 ** KEPT (pick-wt=28): 418 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=23): 419 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=23): 420 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 421 [new_demod,420] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=11): 422 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=11): 423 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=17): 424 [] 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).
% 208.33/208.40 ** KEPT (pick-wt=11): 425 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=63): 427 [copy,426,demod,421,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)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool)))),c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(A,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 428 [new_demod,427] 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)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool)))),c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(A,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=18): 429 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 430 [new_demod,429] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=18): 431 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 432 [new_demod,431] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=28): 434 [copy,433,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 435 [new_demod,434] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=13): 436 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=18): 437 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 438 [new_demod,437] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=18): 439 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=25): 440 [] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=9): 441 [] c_Map_Omap__le(A,c_Map_Omap__add(B,A,C,D),C,D).
% 208.33/208.40 ** KEPT (pick-wt=29): 442 [] 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)).
% 208.33/208.40 ** KEPT (pick-wt=34): 443 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 444 [new_demod,443] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=34): 445 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),D)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 446 [new_demod,445] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),D)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=11): 448 [copy,447,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 208.33/208.40 ---> New Demodulator: 449 [new_demod,448] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 208.33/208.40 ** KEPT (pick-wt=25): 450 [] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=14): 451 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=5): 452 [] c_Collect(A,B)=A.
% 208.33/208.40 ---> New Demodulator: 453 [new_demod,452] c_Collect(A,B)=A.
% 208.33/208.40 ** KEPT (pick-wt=5): 454 [] c_Map_Omap__le(A,A,B,C).
% 208.33/208.40 ** KEPT (pick-wt=21): 455 [] c_Map_Odom(c_Map_Omap__add(A,B,C,D),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(B,C,D),c_Map_Odom(A,C,D),tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=32): 456 [] 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)).
% 208.33/208.40 ** KEPT (pick-wt=19): 458 [copy,457,flip.1] c_Map_Omap__add(c_Map_Omap__add(A,B,C,D),E,C,D)=c_Map_Omap__add(A,c_Map_Omap__add(B,E,C,D),C,D).
% 208.33/208.40 ---> New Demodulator: 459 [new_demod,458] c_Map_Omap__add(c_Map_Omap__add(A,B,C,D),E,C,D)=c_Map_Omap__add(A,c_Map_Omap__add(B,E,C,D),C,D).
% 208.33/208.40 ** KEPT (pick-wt=31): 460 [] 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)).
% 208.33/208.40 ---> New Demodulator: 461 [new_demod,460] 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)).
% 208.33/208.40 ** KEPT (pick-wt=31): 462 [] 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)).
% 208.33/208.40 ** KEPT (pick-wt=17): 463 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 208.33/208.40 ---> New Demodulator: 464 [new_demod,463] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 208.33/208.40 ** KEPT (pick-wt=17): 465 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 208.33/208.40 ---> New Demodulator: 466 [new_demod,465] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 208.33/208.40 ** KEPT (pick-wt=34): 467 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 468 [new_demod,467] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=34): 469 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 470 [new_demod,469] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=34): 471 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 472 [new_demod,471] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=20): 473 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),B),tc_fun(C,tc_bool))=A.
% 208.33/208.40 ---> New Demodulator: 474 [new_demod,473] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),B),tc_fun(C,tc_bool))=A.
% 208.33/208.40 ** KEPT (pick-wt=13): 475 [] 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)).
% 208.33/208.40 Following clause subsumed by 411 during input processing: 0 [demod,417] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=12): 476 [] 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)).
% 208.33/208.40 ** KEPT (pick-wt=14): 477 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 478 [new_demod,477] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=11): 479 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 208.33/208.40 ---> New Demodulator: 480 [new_demod,479] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 208.33/208.40 ** KEPT (pick-wt=11): 481 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 208.33/208.40 ---> New Demodulator: 482 [new_demod,481] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 208.33/208.40 ** KEPT (pick-wt=11): 483 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=11): 484 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 208.33/208.40 ---> New Demodulator: 485 [new_demod,484] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 208.33/208.40 ** KEPT (pick-wt=6): 486 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 208.33/208.40 ** KEPT (pick-wt=16): 487 [] 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)).
% 208.33/208.40 ---> New Demodulator: 488 [new_demod,487] 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)).
% 208.33/208.40 ** KEPT (pick-wt=16): 489 [] 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)).
% 208.33/208.40 ---> New Demodulator: 490 [new_demod,489] 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)).
% 208.33/208.40 ** KEPT (pick-wt=9): 491 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=13): 492 [] 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)).
% 208.33/208.40 ** KEPT (pick-wt=10): 493 [] c_Finite__Set_Ofold__graph(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D).
% 208.33/208.40 ** KEPT (pick-wt=13): 494 [] 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).
% 208.33/208.40 ** KEPT (pick-wt=29): 495 [] c_Set_Ovimage(A,c_Set_Oinsert(B,C,D),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=19): 497 [copy,496,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).
% 208.33/208.40 ---> New Demodulator: 498 [new_demod,497] 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).
% 208.33/208.40 ** KEPT (pick-wt=9): 499 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=26): 500 [] 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).
% 208.33/208.40 ---> New Demodulator: 501 [new_demod,500] 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).
% 208.33/208.40 ** KEPT (pick-wt=19): 503 [copy,502,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 504 [new_demod,503] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=19): 506 [copy,505,demod,504] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=14): 507 [] 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).
% 208.33/208.40 ---> New Demodulator: 508 [new_demod,507] 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).
% 208.33/208.40 ** KEPT (pick-wt=25): 509 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=13): 510 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=13): 511 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),C,tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=58): 513 [copy,512,demod,444,446,446,421,flip.1] c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B),c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B),c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)),tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 514 [new_demod,513] c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B),c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B),c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)),tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=58): 516 [copy,515,demod,444,446,446,421,flip.1] c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C),c_Lattices_Oupper__semilattice__class_Osup(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)),D),D),tc_fun(A,tc_bool)),tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 517 [new_demod,516] c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C),c_Lattices_Oupper__semilattice__class_Osup(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)),D),D),tc_fun(A,tc_bool)),tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=24): 518 [] 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).
% 208.33/208.40 ---> New Demodulator: 519 [new_demod,518] 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).
% 208.33/208.40 ** KEPT (pick-wt=10): 520 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 208.33/208.40 ---> New Demodulator: 521 [new_demod,520] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 208.33/208.40 ** KEPT (pick-wt=6): 522 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 208.33/208.40 Following clause subsumed by 522 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=42): 524 [copy,523,demod,468,470,521,470,472] c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,tc_bool)),B),A),tc_fun(D,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,tc_bool)),A),C),B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=34): 526 [copy,525,demod,468,flip.1] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 208.33/208.40 ---> New Demodulator: 527 [new_demod,526] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=30): 528 [] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=31): 529 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=7): 530 [] c_The(c_fe_qual(A,B),B)=A.
% 208.33/208.40 ---> New Demodulator: 531 [new_demod,530] c_The(c_fe_qual(A,B),B)=A.
% 208.33/208.40 ** KEPT (pick-wt=7): 532 [] c_Option_Othe(c_Option_Ooption_OSome(A,B),B)=A.
% 208.33/208.40 ---> New Demodulator: 533 [new_demod,532] c_Option_Othe(c_Option_Ooption_OSome(A,B),B)=A.
% 208.33/208.40 ** KEPT (pick-wt=25): 534 [] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=25): 535 [] 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)).
% 208.33/208.40 ** KEPT (pick-wt=25): 536 [] 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)).
% 208.33/208.40 ** KEPT (pick-wt=24): 538 [copy,537,flip.1] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))|hBOOL(c_in(A,C,D)).
% 208.33/208.40 ** KEPT (pick-wt=11): 540 [copy,539,demod,453] c_fe_qual(A,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 208.33/208.40 ** KEPT (pick-wt=18): 541 [] hBOOL(hAPP(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B))).
% 208.33/208.40 ** KEPT (pick-wt=21): 542 [] 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).
% 208.33/208.40 ** KEPT (pick-wt=13): 543 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C),B)).
% 208.33/208.40 ** KEPT (pick-wt=11): 544 [] c_The(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 208.33/208.40 ---> New Demodulator: 545 [new_demod,544] c_The(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 208.33/208.40 ** KEPT (pick-wt=27): 546 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=27): 547 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=11): 548 [] c_Set_Ocontents(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 208.33/208.40 ---> New Demodulator: 549 [new_demod,548] c_Set_Ocontents(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 208.33/208.40 ** KEPT (pick-wt=12): 550 [] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=B.
% 208.33/208.40 ---> New Demodulator: 551 [new_demod,550] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=B.
% 208.33/208.40 ** KEPT (pick-wt=20): 552 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 208.33/208.40 ---> New Demodulator: 553 [new_demod,552] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 208.33/208.40 ** KEPT (pick-wt=17): 554 [] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=19): 555 [] hAPP(c_Map_Omap__add(A,B,C,D),E)=hAPP(A,E)|hBOOL(c_in(E,c_Map_Odom(B,C,D),C)).
% 208.33/208.40 ** KEPT (pick-wt=19): 556 [] hAPP(c_Map_Omap__add(A,B,C,D),E)=hAPP(B,E)|hBOOL(c_in(E,c_Map_Odom(A,C,D),C)).
% 208.33/208.40 ** KEPT (pick-wt=14): 557 [] hBOOL(c_in(A,c_Map_Odom(B,C,D),C))|hAPP(B,A)=c_Option_Ooption_ONone(D).
% 208.33/208.40 ** KEPT (pick-wt=17): 558 [] 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)).
% 208.33/208.40 ** KEPT (pick-wt=22): 559 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=B|hBOOL(c_in(A,B,C)).
% 208.33/208.40 ** KEPT (pick-wt=6): 560 [] c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname).
% 208.33/208.40 ** KEPT (pick-wt=16): 561 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSKIP,B,C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C).
% 208.33/208.40 ** KEPT (pick-wt=11): 562 [] hBOOL(c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)).
% 208.33/208.40 ** KEPT (pick-wt=7): 563 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 208.33/208.40 ** KEPT (pick-wt=8): 564 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B).
% 208.33/208.40 ** KEPT (pick-wt=4): 565 [] c_Hoare__Mirabelle_Ostate__not__singleton|A=B.
% 208.33/208.40 ** KEPT (pick-wt=12): 566 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 208.33/208.40 ---> New Demodulator: 567 [new_demod,566] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 208.33/208.40 ** KEPT (pick-wt=8): 568 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 208.33/208.40 Following clause subsumed by 568 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 208.33/208.40 Following clause subsumed by 568 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 208.33/208.40 ** KEPT (pick-wt=15): 569 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 208.33/208.40 Following clause subsumed by 569 during input processing: 0 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 208.33/208.40 ** KEPT (pick-wt=1): 570 [] c_Hoare__Mirabelle_Ostate__not__singleton.
% 208.33/208.40 ** KEPT (pick-wt=2): 571 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 572 [] class_Lattices_Oupper__semilattice(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 573 [] class_Lattices_Olower__semilattice(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 574 [] class_Lattices_Odistrib__lattice(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 575 [] class_Lattices_Obounded__lattice(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 576 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 577 [] class_Orderings_Opreorder(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 578 [] class_Lattices_Olattice(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 579 [] class_Orderings_Oorder(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 580 [] class_Orderings_Obot(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 581 [] class_HOL_Ominus(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=2): 582 [] class_HOL_Oord(tc_bool).
% 208.33/208.40 ** KEPT (pick-wt=6): 583 [] hBOOL(hAPP(c_fe_qual(A,B),A)).
% 208.33/208.40 Following clause subsumed by 411 during input processing: 0 [copy,411,flip.1] A=A.
% 208.33/208.40 411 back subsumes 409.
% 208.33/208.40 411 back subsumes 392.
% 208.33/208.40 411 back subsumes 391.
% 208.33/208.40 411 back subsumes 390.
% 208.33/208.40 411 back subsumes 389.
% 208.33/208.40 411 back subsumes 388.
% 208.33/208.40 >>>> Starting back demodulation with 413.
% 208.33/208.40 >>>> Starting back demodulation with 415.
% 208.33/208.40 >>>> Starting back demodulation with 417.
% 208.33/208.40 >> back demodulating 397 with 417.
% 208.33/208.40 >> back demodulating 381 with 417.
% 208.33/208.40 >> back demodulating 379 with 417.
% 208.33/208.40 >> back demodulating 378 with 417.
% 208.33/208.40 >> back demodulating 372 with 417.
% 208.33/208.40 >> back demodulating 368 with 417.
% 208.33/208.40 Following clause subsumed by 419 during input processing: 0 [copy,419,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 208.33/208.40 >>>> Starting back demodulation with 421.
% 208.33/208.40 Following clause subsumed by 424 during input processing: 0 [copy,424,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).
% 208.33/208.40 >>>> Starting back demodulation with 428.
% 208.33/208.40 >>>> Starting back demodulation with 430.
% 208.33/208.40 >>>> Starting back demodulation with 432.
% 208.33/208.40 >> back demodulating 33 with 432.
% 208.33/208.40 >>>> Starting back demodulation with 435.
% 208.33/208.40 Following clause subsumed by 436 during input processing: 0 [copy,436,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 208.33/208.40 >>>> Starting back demodulation with 438.
% 208.33/208.40 ** KEPT (pick-wt=18): 584 [copy,439,flip.1,demod,468,521] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=25): 585 [copy,440,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,tc_bool)),C,D).
% 208.33/208.40 ** KEPT (pick-wt=29): 586 [copy,442,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).
% 208.33/208.40 >>>> Starting back demodulation with 444.
% 208.33/208.40 >> back demodulating 427 with 444.
% 208.33/208.40 >> back demodulating 102 with 444.
% 208.33/208.40 >> back demodulating 100 with 444.
% 208.33/208.40 >>>> Starting back demodulation with 446.
% 208.33/208.40 >>>> Starting back demodulation with 449.
% 208.33/208.40 ** KEPT (pick-wt=25): 591 [copy,450,flip.1] c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(D,tc_bool)),C,D).
% 208.33/208.40 >>>> Starting back demodulation with 453.
% 208.33/208.40 >> back demodulating 269 with 453.
% 208.33/208.40 >> back demodulating 190 with 453.
% 208.33/208.40 >> back demodulating 188 with 453.
% 208.33/208.40 >> back demodulating 158 with 453.
% 208.33/208.40 >> back demodulating 157 with 453.
% 208.33/208.40 >> back demodulating 5 with 453.
% 208.33/208.40 454 back subsumes 375.
% 208.33/208.40 454 back subsumes 374.
% 208.33/208.40 ** KEPT (pick-wt=21): 596 [copy,455,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(A,B,C),c_Map_Odom(D,B,C),tc_fun(B,tc_bool))=c_Map_Odom(c_Map_Omap__add(D,A,B,C),B,C).
% 208.33/208.40 >>>> Starting back demodulation with 459.
% 208.33/208.40 >>>> Starting back demodulation with 461.
% 208.33/208.40 Following clause subsumed by 462 during input processing: 0 [copy,462,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)).
% 208.33/208.40 >>>> Starting back demodulation with 464.
% 208.33/208.40 >>>> Starting back demodulation with 466.
% 208.33/208.40 >>>> Starting back demodulation with 468.
% 208.33/208.40 >> back demodulating 439 with 468.
% 208.33/208.40 >>>> Starting back demodulation with 470.
% 208.33/208.40 >>>> Starting back demodulation with 472.
% 208.33/208.40 >> back demodulating 469 with 472.
% 208.33/208.40 >>>> Starting back demodulation with 474.
% 208.33/208.40 ** KEPT (pick-wt=13): 600 [copy,475,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).
% 208.33/208.40 >>>> Starting back demodulation with 478.
% 208.33/208.40 >>>> Starting back demodulation with 480.
% 208.33/208.40 >>>> Starting back demodulation with 482.
% 208.33/208.40 ** KEPT (pick-wt=11): 601 [copy,483,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 208.33/208.40 >>>> Starting back demodulation with 485.
% 208.33/208.40 >>>> Starting back demodulation with 488.
% 208.33/208.40 >>>> Starting back demodulation with 490.
% 208.33/208.40 491 back subsumes 476.
% 208.33/208.40 Following clause subsumed by 494 during input processing: 0 [copy,492,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).
% 208.33/208.40 Following clause subsumed by 492 during input processing: 0 [copy,494,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)).
% 208.33/208.40 ** KEPT (pick-wt=29): 602 [copy,495,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),D,C),c_Set_Ovimage(A,E,D,C),tc_fun(D,tc_bool))=c_Set_Ovimage(A,c_Set_Oinsert(B,E,C),D,C).
% 208.33/208.40 >>>> Starting back demodulation with 498.
% 208.33/208.40 >> back demodulating 299 with 498.
% 208.33/208.40 >>>> Starting back demodulation with 501.
% 208.33/208.40 >>>> Starting back demodulation with 504.
% 208.33/208.40 ** KEPT (pick-wt=19): 604 [copy,506,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 208.33/208.40 >>>> Starting back demodulation with 508.
% 208.33/208.40 ** KEPT (pick-wt=25): 605 [copy,509,flip.1] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(B,C,D),A,D,tc_fun(E,tc_bool)).
% 208.33/208.40 >>>> Starting back demodulation with 514.
% 208.33/208.40 >>>> Starting back demodulation with 517.
% 208.33/208.40 >>>> Starting back demodulation with 519.
% 208.33/208.40 >>>> Starting back demodulation with 521.
% 208.33/208.40 >> back demodulating 516 with 521.
% 208.33/208.40 >> back demodulating 513 with 521.
% 208.33/208.40 >> back demodulating 401 with 521.
% 208.33/208.40 >> back demodulating 400 with 521.
% 208.33/208.40 >> back demodulating 399 with 521.
% 208.33/208.40 >> back demodulating 396 with 521.
% 208.33/208.40 >> back demodulating 377 with 521.
% 208.33/208.40 522 back subsumes 395.
% 208.33/208.40 ** KEPT (pick-wt=42): 611 [copy,524,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 208.33/208.40 >>>> Starting back demodulation with 527.
% 208.33/208.40 >> back demodulating 467 with 527.
% 208.33/208.40 ** KEPT (pick-wt=30): 614 [copy,528,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=31): 615 [copy,529,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,tc_fun(D,tc_bool)).
% 208.33/208.40 >>>> Starting back demodulation with 531.
% 208.33/208.40 >>>> Starting back demodulation with 533.
% 208.33/208.40 ** KEPT (pick-wt=25): 616 [copy,534,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 208.33/208.40 ** KEPT (pick-wt=11): 617 [copy,540,flip.1] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)=c_fe_qual(A,B).
% 208.33/208.40 ** KEPT (pick-wt=21): 618 [copy,542,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).
% 208.33/208.40 >>>> Starting back demodulation with 545.
% 208.33/208.40 ** KEPT (pick-wt=27): 619 [copy,546,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 208.33/208.40 ** KEPT (pick-wt=27): 620 [copy,547,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 208.33/208.40 >>>> Starting back demodulation with 549.
% 208.33/208.40 >>>> Starting back demodulation with 551.
% 208.33/208.40 >>>> Starting back demodulation with 553.
% 208.33/208.40 >> back demodulating 324 with 553.
% 208.33/208.40 ** KEPT (pick-wt=17): 621 [copy,554,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 208.33/208.40 >>>> Starting back demodulation with 567.
% 208.33/208.40 >> back demodulating 408 with 567.
% 208.33/208.40 >> back demodulating 407 with 567.
% 208.33/208.40 >> back demodulating 406 with 567.
% 208.33/208.40 >> back demodulating 405 with 567.
% 208.33/208.40 >> back demodulating 404 with 567.
% 208.33/208.40 568 back subsumes 562.
% 208.33/208.40 Following clause subsumed by 569 during input processing: 0 [copy,569,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 208.33/208.40 570 back subsumes 565.
% 208.33/208.40 Following clause subsumed by 597 during input processing: 0 [copy,584,flip.1] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 208.33/208.40 Following clause subsumed by 440 during input processing: 0 [copy,585,flip.1] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 208.33/208.40 Following clause subsumed by 442 during input processing: 0 [copy,586,flip.1] 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)).
% 208.33/208.40 >>>> Starting back demodulation with 588.
% 208.33/208.40 Following clause subsumed by 450 during input processing: 0 [copy,591,flip.1] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 208.33/208.40 Following clause subsumed by 455 during input processing: 0 [copy,596,flip.1] c_Map_Odom(c_Map_Omap__add(A,B,C,D),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(B,C,D),c_Map_Odom(A,C,D),tc_fun(C,tc_bool)).
% 208.33/208.40 Following clause subsumed by 584 during input processing: 0 [copy,597,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 208.33/208.40 >>>> Starting back demodulation with 599.
% 208.33/208.40 Following clause subsumed by 475 during input processing: 0 [copy,600,flip.1] c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 208.33/208.40 Following clause subsumed by 483 during input processing: 0 [copy,601,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 208.33/208.40 Following clause subsumed by 495 during input processing: 0 [copy,602,flip.1] c_Set_Ovimage(A,c_Set_Oinsert(B,C,D),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 208.33/208.40 Following clause subsumed by 506 during input processing: 0 [copy,604,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 208.65/208.71 Following clause subsumed by 509 during input processing: 0 [copy,605,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 208.65/208.71 >>>> Starting back demodulation with 607.
% 208.65/208.71 >>>> Starting back demodulation with 609.
% 208.65/208.71 Following clause subsumed by 524 during input processing: 0 [copy,611,flip.1] c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,tc_bool)),B),A),tc_fun(D,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,tc_bool)),A),C),B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 208.65/208.71 >>>> Starting back demodulation with 613.
% 208.65/208.71 Following clause subsumed by 528 during input processing: 0 [copy,614,flip.1] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 208.65/208.71 Following clause subsumed by 529 during input processing: 0 [copy,615,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 208.65/208.71 Following clause subsumed by 534 during input processing: 0 [copy,616,flip.1] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 208.65/208.71 Following clause subsumed by 540 during input processing: 0 [copy,617,flip.1] c_fe_qual(A,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 208.65/208.71 Following clause subsumed by 542 during input processing: 0 [copy,618,flip.1] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D).
% 208.65/208.71 Following clause subsumed by 546 during input processing: 0 [copy,619,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 208.65/208.71 Following clause subsumed by 547 during input processing: 0 [copy,620,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 208.65/208.71 Following clause subsumed by 554 during input processing: 0 [copy,621,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 208.65/208.71
% 208.65/208.71 ======= end of input processing =======
% 208.65/208.71
% 208.65/208.71 =========== start of search ===========
% 208.65/208.71
% 208.65/208.71
% 208.65/208.71 Resetting weight limit to 2.
% 208.65/208.71
% 208.65/208.71
% 208.65/208.71 Resetting weight limit to 2.
% 208.65/208.71
% 208.65/208.71 sos_size=144
% 208.65/208.71
% 208.65/208.71 Search stopped in tp_alloc by max_mem option.
% 208.65/208.71
% 208.65/208.71 Search stopped in tp_alloc by max_mem option.
% 208.65/208.71
% 208.65/208.71 ============ end of search ============
% 208.65/208.71
% 208.65/208.71 -------------- statistics -------------
% 208.65/208.71 clauses given 105
% 208.65/208.71 clauses generated 30981
% 208.65/208.71 clauses kept 556
% 208.65/208.71 clauses forward subsumed 112
% 208.65/208.71 clauses back subsumed 16
% 208.65/208.71 Kbytes malloced 11718
% 208.65/208.71
% 208.65/208.71 ----------- times (seconds) -----------
% 208.65/208.71 user CPU time 0.36 (0 hr, 0 min, 0 sec)
% 208.65/208.71 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 208.65/208.71 wall-clock time 208 (0 hr, 3 min, 28 sec)
% 208.65/208.71
% 208.65/208.71 Process 27669 finished Wed Jul 27 05:53:10 2022
% 208.65/208.71 Otter interrupted
% 208.65/208.71 PROOF NOT FOUND
%------------------------------------------------------------------------------