TSTP Solution File: SWV841-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV841-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:21:39 EDT 2022
% Result : Unknown 158.67s 158.80s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV841-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 05:59:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 156.80/156.94 ----- Otter 3.3f, August 2004 -----
% 156.80/156.94 The process was started by sandbox2 on n011.cluster.edu,
% 156.80/156.94 Wed Jul 27 05:59:10 2022
% 156.80/156.94 The command was "./otter". The process ID is 27868.
% 156.80/156.94
% 156.80/156.94 set(prolog_style_variables).
% 156.80/156.94 set(auto).
% 156.80/156.94 dependent: set(auto1).
% 156.80/156.94 dependent: set(process_input).
% 156.80/156.94 dependent: clear(print_kept).
% 156.80/156.94 dependent: clear(print_new_demod).
% 156.80/156.94 dependent: clear(print_back_demod).
% 156.80/156.94 dependent: clear(print_back_sub).
% 156.80/156.94 dependent: set(control_memory).
% 156.80/156.94 dependent: assign(max_mem, 12000).
% 156.80/156.94 dependent: assign(pick_given_ratio, 4).
% 156.80/156.94 dependent: assign(stats_level, 1).
% 156.80/156.94 dependent: assign(max_seconds, 10800).
% 156.80/156.94 clear(print_given).
% 156.80/156.94
% 156.80/156.94 list(usable).
% 156.80/156.94 0 [] A=A.
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_C,T_a,T_b).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 156.80/156.94 0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(c_COMBK(V_c,T_b,T_a),T_a,T_b),V_A)=hAPP(hAPP(c_Set_Oinsert(T_b),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))| -hBOOL(c_in(V_x,V_A,T_a)).
% 156.80/156.94 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.
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 156.80/156.94 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 156.80/156.94 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_x))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 156.80/156.94 0 [] c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b)|hBOOL(c_in(hAPP(V_f,V_a),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))),T_b))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 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.
% 156.80/156.94 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 156.80/156.94 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 156.80/156.94 0 [] -hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(V_A,T_a),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(V_A,T_a),T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 156.80/156.94 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))))!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))))=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 156.80/156.94 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)).
% 156.80/156.94 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.
% 156.80/156.94 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.
% 156.80/156.94 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)).
% 156.80/156.94 0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)| -hBOOL(hAPP(hAPP(V_less,V_x),V_x)).
% 156.80/156.94 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_x,V_y,T_a).
% 156.80/156.94 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B),tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool))),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 156.80/156.94 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 156.80/156.94 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(c_in(V_xa,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 156.80/156.94 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a)).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] -class_Orderings_Olinorder(T_a)|c_SetInterval_Oord__class_OlessThan(V_x,T_a)!=c_SetInterval_Oord__class_OlessThan(V_y,T_a)|V_x=V_y.
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),T_a).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(c_COMBK(V_c,T_a,T_b),T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(V_less,V_b),V_a))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 156.80/156.94 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f,V_x)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A))=hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)| -hBOOL(c_in(V_x,V_A,T_a)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 156.80/156.94 0 [] c_lesse_quals(hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A),hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_B),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)|hBOOL(c_in(V_a,V_A,T_a)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)|hBOOL(c_in(V_a,V_C,T_a)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(hAPP(c_Set_Oinsert(T_b),V_a),V_B,tc_fun(T_b,tc_bool),tc_fun(T_b,tc_bool),T_a),T_a,tc_fun(T_b,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))| -hBOOL(c_in(V_u,V_A,T_a)).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 156.80/156.94 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)).
% 156.80/156.94 0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_Finite__Set_Ofold1(V_times,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)=hAPP(hAPP(V_times,V_x),c_Finite__Set_Ofold1(V_times,V_A,T_a))|hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 156.80/156.94 0 [] c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A)),V_A,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_Collect(V_P,T_a)=V_P.
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a).
% 156.80/156.94 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 156.80/156.94 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 156.80/156.94 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_b,T_a)|hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_b,T_a)| -c_Orderings_Oorder(V_less__e_q,V_less,T_a)| -hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b)).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)!=hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)|V_A=V_B.
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 156.80/156.94 0 [] c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A)=V_A| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A),V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 156.80/156.94 0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(V_f,T_b,T_c),V_A),V_B,T_c,tc_fun(T_a,tc_bool)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B)=V_B.
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)),T_a).
% 156.80/156.94 0 [] -c_Orderings_Oorder(V_less__e_q,V_less,T_a)|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=V_x.
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=V_x.
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))=V_A.
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(V_h,T_a,T_b),V_F),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less,V_y),V_x))|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_y))|hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x)).
% 156.80/156.94 0 [] -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)| -hBOOL(hAPP(hAPP(V_less,V_x),V_x)).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))).
% 156.80/156.94 0 [] hAPP(c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),T_a,T_b),V_A)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_c,V_A,T_b)).
% 156.80/156.94 0 [] c_lesse_quals(c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_b,T_a),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(V_less__e_q,V_b),V_d))| -hBOOL(hAPP(hAPP(V_less__e_q,V_c),V_a))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] c_lesse_quals(c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_b,T_a),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_c,V_d,T_a),tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_b),V_d))| -hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b))| -c_lesse_quals(c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_b,T_a),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_c),V_a))| -hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b))| -c_lesse_quals(c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_b,T_a),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 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.
% 156.80/156.94 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.
% 156.80/156.94 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.
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(c_in(V_a,V_C,T_a)).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 156.80/156.94 0 [] hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),T_a))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)).
% 156.80/156.94 0 [] hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)).
% 156.80/156.94 0 [] hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_B),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)).
% 156.80/156.94 0 [] hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))| -hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),T_a)).
% 156.80/156.94 0 [] hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))| -hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),T_a)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a),T_a)).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i))| -hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a),T_a)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 156.80/156.94 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less,V_a),V_b))| -hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b))|V_a=V_b| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less,V_a),V_b))|V_a=V_b| -hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_y))|V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a)| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a)|c_Finite__Set_Ofold1(V_times,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)=hAPP(hAPP(V_times,c_Finite__Set_Ofold1(V_times,V_A,T_a)),c_Finite__Set_Ofold1(V_times,V_B,T_a)).
% 156.80/156.94 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)).
% 156.80/156.94 0 [] -hBOOL(c_in(hAPP(V_f,V_a),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))),T_b))| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b).
% 156.80/156.94 0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))|hBOOL(c_in(V_x,V_B,T_a)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(V_A,hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 156.80/156.94 0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 156.80/156.94 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 156.80/156.94 0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_aa,T_a),V_A),T_a)).
% 156.80/156.94 0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a)).
% 156.80/156.94 0 [] hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 156.80/156.94 0 [] hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 156.80/156.94 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)).
% 156.80/156.94 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x.
% 156.80/156.94 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x.
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 156.80/156.94 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 156.80/156.94 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 156.80/156.94 0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 156.80/156.94 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 156.80/156.94 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 156.80/156.94 0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=V_B.
% 156.80/156.94 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)).
% 156.80/156.94 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.
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))).
% 156.80/156.94 0 [] V_P=hAPP(hAPP(c_Set_Oinsert(T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__2(V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|hBOOL(hAPP(V_P,c_Nitpick_Osko__Nitpick__XEx1__def__1__1(V_P,V_xa,T_a)))| -hBOOL(hAPP(V_P,V_xa)).
% 156.80/156.94 0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))))),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)))=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 156.80/156.94 0 [] hAPP(V_f,V_a)=V_b| -hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))),T_a)).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_a,V_A,T_a)).
% 156.80/156.94 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a)| -hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b)).
% 156.80/156.94 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 156.80/156.94 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)).
% 156.80/156.94 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 156.80/156.94 0 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(c_Set_Oimage(V_g,T_c,T_b),V_A))=hAPP(c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),T_c,T_a),V_A).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_c,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(c_Set_Oimage(V_f,T_b,T_a),V_B,tc_fun(T_b,tc_bool),tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z))=hAPP(hAPP(V_f,V_x),V_z)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 156.80/156.94 0 [] hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_c,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(c_Set_Ovimage(V_f,T_a,T_b),V_B,tc_fun(T_b,tc_bool),tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 156.80/156.94 0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 156.80/156.94 0 [] c_Finite__Set_Ofun__left__comm__idem(c_COMBB(V_f,V_g,T_a,tc_fun(T_b,T_b),T_c),T_c,T_b)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 156.80/156.94 0 [] hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a),T_a))| -hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i)).
% 156.80/156.94 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x.
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 156.80/156.94 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 156.80/156.94 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 156.80/156.94 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(V_f,T_c,T_b),V_A),V_B,T_b,tc_fun(T_a,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_b,tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 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))).
% 156.80/156.94 0 [] V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_C,T_a,T_b).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))).
% 156.80/156.94 0 [] hBOOL(hAPP(V_A,hAPP(V_f,V_x)))| -hBOOL(hAPP(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),V_x)).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),V_x))| -hBOOL(hAPP(V_A,hAPP(V_f,V_x))).
% 156.80/156.94 0 [] c_The(c_fe_qual(V_x,T_a),T_a)=V_x.
% 156.80/156.94 0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_y),V_x))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less,V_y),V_x))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))|V_x=V_y| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(V_less,V_y),V_x))|V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))|hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 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).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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)).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] -class_Orderings_Oorder(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_l,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(V_A,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_b,T_a)| -c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 156.80/156.94 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).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)).
% 156.80/156.94 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)).
% 156.80/156.94 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 156.80/156.94 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 156.80/156.94 0 [] c_Nitpick_Osko__Nitpick__XEx1__def__1__1(V_P,V_xa,T_a)!=V_xa| -hBOOL(hAPP(V_P,V_xa))|V_P=hAPP(hAPP(c_Set_Oinsert(T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__2(V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(c_COMBK(V_c,T_a,T_b),T_b,T_a),V_A)=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 156.80/156.94 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 156.80/156.94 0 [] c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_a,V_a,T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 156.80/156.94 0 [] V_A=hAPP(hAPP(c_Set_Oinsert(T_a),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(V_A,T_a)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_aa,T_a),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_aa)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_b),V_x),V_xa)!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))|hBOOL(c_in(V_x,V_xa,T_b))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 156.80/156.94 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b).
% 156.80/156.94 0 [] -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)|c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))),T_b)=V_a.
% 156.80/156.94 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 156.80/156.94 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 156.80/156.94 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b).
% 156.80/156.94 0 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 156.80/156.94 0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 156.80/156.94 0 [] hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)).
% 156.80/156.94 0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 156.80/156.94 0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 156.80/156.94 0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 156.80/156.94 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a).
% 156.80/156.94 0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b).
% 156.80/156.94 0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)).
% 156.80/156.94 0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)).
% 156.80/156.94 0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)).
% 156.80/156.94 0 [] c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)!=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c))).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 156.80/156.94 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).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_Collect(c_fe_qual(V_a,T_a),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 156.80/156.94 0 [] V_A=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 156.80/156.94 0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 156.80/156.94 0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 156.80/156.94 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 156.80/156.94 0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)).
% 156.80/156.94 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 156.80/156.94 0 [] c_The(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 156.80/156.94 0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 156.80/156.94 0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 156.80/156.94 0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] V_a=V_b| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)).
% 156.80/156.94 0 [] c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 156.80/156.94 0 [] V_y=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)).
% 156.80/156.94 0 [] V_b=V_a| -hBOOL(c_in(V_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 156.80/156.94 0 [] c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 156.80/156.94 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 156.80/156.94 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A).
% 156.80/156.94 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)).
% 156.80/156.94 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).
% 156.80/156.94 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_b=V_d.
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_b=V_d.
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_a=V_c.
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_a=V_c.
% 156.80/156.94 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 156.80/156.94 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).
% 156.80/156.94 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A))=hAPP(hAPP(c_Set_Oinsert(T_a),V_y),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 156.80/156.94 0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_a=V_b.
% 156.80/156.94 0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 156.80/156.94 0 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a).
% 156.80/156.94 0 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.94 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 156.80/156.94 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 156.80/156.94 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 156.80/156.94 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 156.80/156.94 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 156.80/156.94 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).
% 156.80/156.94 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 156.80/156.94 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 156.80/156.94 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 156.80/156.94 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 156.80/156.94 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 156.80/156.94 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 156.80/156.94 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 156.80/156.94 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 156.80/156.94 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 156.80/156.94 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 156.80/156.94 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 156.80/156.94 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 156.80/156.94 0 [] class_Orderings_Opreorder(tc_bool).
% 156.80/156.94 0 [] class_Lattices_Olattice(tc_bool).
% 156.80/156.94 0 [] class_Orderings_Oorder(tc_bool).
% 156.80/156.94 0 [] class_Orderings_Obot(tc_bool).
% 156.80/156.94 0 [] class_HOL_Ominus(tc_bool).
% 156.80/156.94 0 [] class_HOL_Oord(tc_bool).
% 156.80/156.94 0 [] hBOOL(hAPP(c_fe_qual(V_x,T_a),V_x)).
% 156.80/156.94 0 [] V_X=V_Y| -hBOOL(hAPP(c_fe_qual(V_X,T_a),V_Y)).
% 156.80/156.94 end_of_list.
% 156.80/156.94
% 156.80/156.94 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 156.80/156.94
% 156.80/156.94 This ia a non-Horn set with equality. The strategy will be
% 156.80/156.94 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 156.80/156.94 deletion, with positive clauses in sos and nonpositive
% 156.80/156.94 clauses in usable.
% 156.80/156.94
% 156.80/156.94 dependent: set(knuth_bendix).
% 156.80/156.94 dependent: set(anl_eq).
% 156.80/156.94 dependent: set(para_from).
% 156.80/156.94 dependent: set(para_into).
% 156.80/156.94 dependent: clear(para_from_right).
% 156.80/156.94 dependent: clear(para_into_right).
% 156.80/156.94 dependent: set(para_from_vars).
% 156.80/156.94 dependent: set(eq_units_both_ways).
% 156.80/156.94 dependent: set(dynamic_demod_all).
% 156.80/156.94 dependent: set(dynamic_demod).
% 156.80/156.94 dependent: set(order_eq).
% 156.80/156.94 dependent: set(back_demod).
% 156.80/156.94 dependent: set(lrpo).
% 156.80/156.94 dependent: set(hyper_res).
% 156.80/156.94 dependent: set(unit_deletion).
% 156.80/156.94 dependent: set(factor).
% 156.80/156.94
% 156.80/156.94 ------------> process usable:
% 156.80/156.94 ** KEPT (pick-wt=28): 1 [] -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).
% 156.80/156.94 ** KEPT (pick-wt=23): 2 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))| -hBOOL(c_in(B,D,A)).
% 156.80/156.94 ** KEPT (pick-wt=19): 3 [] 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)).
% 156.80/156.94 ** KEPT (pick-wt=17): 4 [] -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)).
% 156.80/156.94 ** KEPT (pick-wt=35): 5 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 156.80/156.94 Following clause subsumed by 5 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 156.80/156.94 ** KEPT (pick-wt=35): 6 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool)).
% 156.80/156.94 ** KEPT (pick-wt=49): 7 [] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E))| -c_lesse_quals(E,F,tc_fun(B,tc_bool))| -c_lesse_quals(D,F,tc_fun(B,tc_bool))| -c_Fun_Oinj__on(A,F,B,C).
% 156.80/156.94 ** KEPT (pick-wt=17): 8 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,hAPP(c_Set_Oimage(C,D,B),E),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(E,D).
% 156.80/156.94 ** KEPT (pick-wt=23): 9 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(hAPP(c_Set_Oimage(A,F,D),E),C,tc_fun(D,tc_bool)).
% 156.80/156.94 ** KEPT (pick-wt=24): 10 [] hAPP(c_Set_Oimage(c_COMBK(A,B,C),C,B),D)=hAPP(hAPP(c_Set_Oinsert(B),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))| -hBOOL(c_in(E,D,C)).
% 156.80/156.94 ** KEPT (pick-wt=21): 11 [] 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.
% 156.80/156.94 ** KEPT (pick-wt=23): 12 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 156.80/156.94 ** KEPT (pick-wt=30): 14 [copy,13,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 156.80/156.94 ** KEPT (pick-wt=30): 15 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 156.80/156.94 ** KEPT (pick-wt=18): 16 [] 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)).
% 156.80/156.94 ** KEPT (pick-wt=10): 17 [] -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Oorder(C,A,D).
% 156.80/156.94 ** KEPT (pick-wt=16): 18 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(A,D,E).
% 156.80/156.94 ** KEPT (pick-wt=10): 19 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 156.80/156.94 ** KEPT (pick-wt=40): 20 [] c_Fun_Oinj__on(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B,E)|hBOOL(c_in(hAPP(A,C),hAPP(c_Set_Oimage(A,B,E),c_HOL_Ominus__class_Ominus(D,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool))),E))| -c_Fun_Oinj__on(A,D,B,E).
% 156.80/156.94 ** KEPT (pick-wt=9): 21 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 156.80/156.94 ** KEPT (pick-wt=9): 22 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 156.80/156.94 ** KEPT (pick-wt=15): 23 [] -hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(A,B),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(A,B),B))|A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.94 ** KEPT (pick-wt=55): 24 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(c_Set_Oimage(B,C,A),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)))),hAPP(c_Set_Oimage(B,C,A),c_HOL_Ominus__class_Ominus(E,D,tc_fun(C,tc_bool))))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Fun_Oinj__on(B,E,C,A)| -c_Fun_Oinj__on(B,D,C,A)|c_Fun_Oinj__on(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E),C,A).
% 156.80/156.94 ** KEPT (pick-wt=45): 25 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(c_Set_Oimage(B,C,A),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)))),hAPP(c_Set_Oimage(B,C,A),c_HOL_Ominus__class_Ominus(E,D,tc_fun(C,tc_bool))))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Fun_Oinj__on(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E),C,A).
% 156.80/156.94 ** KEPT (pick-wt=14): 26 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 156.80/156.94 ** KEPT (pick-wt=14): 27 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 156.80/156.94 ** KEPT (pick-wt=25): 28 [] -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)).
% 156.80/156.94 ** KEPT (pick-wt=10): 29 [] -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D).
% 156.80/156.94 Following clause subsumed by 29 during input processing: 0 [] -c_Orderings_Olinorder(A,B,C)| -hBOOL(hAPP(hAPP(B,D),D)).
% 156.80/156.94 ** KEPT (pick-wt=16): 30 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 156.80/156.94 ** KEPT (pick-wt=16): 31 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool)).
% 156.80/156.94 ** KEPT (pick-wt=25): 32 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 156.80/156.94 ** KEPT (pick-wt=25): 33 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 156.80/156.94 ** KEPT (pick-wt=25): 34 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 156.80/156.94 ** KEPT (pick-wt=25): 35 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 156.80/156.94 ** KEPT (pick-wt=17): 36 [] 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)).
% 156.80/156.94 ** KEPT (pick-wt=17): 37 [] 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)).
% 156.80/156.94 ** KEPT (pick-wt=25): 38 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))|B=C| -c_Fun_Oinj__on(A,D,E,F).
% 156.80/156.94 Following clause subsumed by 38 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 156.80/156.94 Following clause subsumed by 38 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 156.80/156.94 Following clause subsumed by 38 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E)).
% 156.80/156.94 ** KEPT (pick-wt=16): 39 [] 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)).
% 156.80/156.94 ** KEPT (pick-wt=16): 40 [] 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)).
% 156.80/156.94 ** KEPT (pick-wt=14): 41 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -c_lesse_quals(B,C,A).
% 156.80/156.94 ** KEPT (pick-wt=14): 42 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|c_lesse_quals(B,C,A).
% 156.80/156.94 ** KEPT (pick-wt=14): 43 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -c_lesse_quals(C,B,A).
% 156.80/156.94 ** KEPT (pick-wt=25): 44 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 156.80/156.94 Following clause subsumed by 44 during input processing: 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 156.80/156.94 ** KEPT (pick-wt=19): 45 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 156.80/156.94 ** KEPT (pick-wt=11): 46 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 156.80/156.94 ** KEPT (pick-wt=11): 47 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 156.80/156.95 Following clause subsumed by 45 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 156.80/156.95 Following clause subsumed by 45 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 156.80/156.95 ** KEPT (pick-wt=11): 48 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 156.80/156.95 ** KEPT (pick-wt=11): 49 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 156.80/156.95 ** KEPT (pick-wt=15): 50 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=15): 51 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=21): 52 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=12): 53 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OlessThan(B,A)!=c_SetInterval_Oord__class_OlessThan(C,A)|B=C.
% 156.80/156.95 ** KEPT (pick-wt=31): 54 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)),A).
% 156.80/156.95 ** KEPT (pick-wt=20): 55 [] c_SetInterval_Oord_OatLeastAtMost(A,B,C,D)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(E,C),B))| -c_Orderings_Oorder(A,E,D).
% 156.80/156.95 ** KEPT (pick-wt=11): 56 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 156.80/156.95 ** KEPT (pick-wt=11): 57 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 156.80/156.95 ** KEPT (pick-wt=20): 58 [] 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)).
% 156.80/156.95 Following clause subsumed by 58 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)).
% 156.80/156.95 ** KEPT (pick-wt=16): 59 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(C),A),D),B,tc_fun(C,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=18): 60 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=25): 61 [] hAPP(hAPP(c_Set_Oinsert(A),hAPP(B,C)),hAPP(c_Set_Oimage(B,D,A),E))=hAPP(c_Set_Oimage(B,D,A),E)| -hBOOL(c_in(C,E,D)).
% 156.80/156.95 ** KEPT (pick-wt=22): 62 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 156.80/156.95 ** KEPT (pick-wt=22): 63 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)).
% 156.80/156.95 Following clause subsumed by 62 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 156.80/156.95 Following clause subsumed by 63 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 156.80/156.95 ** KEPT (pick-wt=22): 64 [] c_lesse_quals(hAPP(c_Set_Ovimage(A,B,C),D),hAPP(c_Set_Ovimage(A,B,C),E),tc_fun(B,tc_bool))| -c_lesse_quals(D,E,tc_fun(C,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=23): 65 [] 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)).
% 156.80/156.95 Following clause subsumed by 65 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)).
% 156.80/156.95 ** KEPT (pick-wt=37): 67 [copy,66,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Set_Oinsert(A),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))| -hBOOL(c_in(F,C,E)).
% 156.80/156.95 ** KEPT (pick-wt=11): 68 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 156.80/156.95 ** KEPT (pick-wt=15): 69 [] c_Fun_Oinj__on(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)| -c_Fun_Oinj__on(A,B,D,E).
% 156.80/156.95 ** KEPT (pick-wt=19): 70 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Complete__Lattice_OInf__class_OInf(C,A)).
% 156.80/156.95 ** KEPT (pick-wt=35): 71 [] c_Finite__Set_Ofold1(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B)=hAPP(hAPP(A,C),c_Finite__Set_Ofold1(A,D,B))|hBOOL(c_in(C,D,B))| -c_Finite__Set_Ofinite(D,B)|D=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_OrderedGroup_Oab__semigroup__mult(A,B).
% 156.80/156.95 ** KEPT (pick-wt=7): 72 [] -class_Lattices_Oupper__semilattice(A)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(A),A,A).
% 156.80/156.95 ** KEPT (pick-wt=10): 73 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 156.80/156.95 ** KEPT (pick-wt=10): 74 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 156.80/156.95 ** KEPT (pick-wt=19): 75 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Complete__Lattice_OSup__class_OSup(C,A)).
% 156.80/156.95 ** KEPT (pick-wt=14): 76 [] 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).
% 156.80/156.95 Following clause subsumed by 68 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).
% 156.80/156.95 ** KEPT (pick-wt=20): 77 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord_OatLeastAtMost(B,C,D,A)|hBOOL(hAPP(hAPP(B,C),D))| -c_Orderings_Oorder(B,E,A).
% 156.80/156.95 ** KEPT (pick-wt=20): 78 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord_OatLeastAtMost(B,C,D,A)| -c_Orderings_Oorder(B,E,A)| -hBOOL(hAPP(hAPP(B,C),D)).
% 156.80/156.95 ** KEPT (pick-wt=22): 79 [] 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).
% 156.80/156.95 ** KEPT (pick-wt=25): 80 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=15): 81 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 156.80/156.95 ** KEPT (pick-wt=28): 82 [] hAPP(c_Set_Oimage(A,B,C),D)!=hAPP(c_Set_Oimage(A,B,C),E)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),D),E),B,C)|D=E.
% 156.80/156.95 ** KEPT (pick-wt=15): 83 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 156.80/156.95 ** KEPT (pick-wt=25): 84 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=29): 85 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool))| -hBOOL(c_in(C,D,E)).
% 156.80/156.95 ** KEPT (pick-wt=16): 86 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 156.80/156.95 Following clause subsumed by 86 during input processing: 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 156.80/156.95 ** KEPT (pick-wt=22): 87 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=22): 88 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=22): 89 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=37): 90 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))|c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=37): 91 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))| -c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=22): 92 [] 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).
% 156.80/156.95 ** KEPT (pick-wt=22): 93 [] 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).
% 156.80/156.95 ** KEPT (pick-wt=14): 94 [] hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_OrderedGroup_Oab__semigroup__mult(A,D).
% 156.80/156.95 ** KEPT (pick-wt=18): 95 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=19): 96 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),A),B)).
% 156.80/156.95 ** KEPT (pick-wt=15): 97 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 156.80/156.95 ** KEPT (pick-wt=15): 98 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 156.80/156.95 ** KEPT (pick-wt=27): 99 [] hAPP(c_Set_Oimage(A,B,B),C)=C| -c_Fun_Oinj__on(A,C,B,B)| -c_lesse_quals(hAPP(c_Set_Oimage(A,B,B),C),C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 156.80/156.95 ** KEPT (pick-wt=22): 100 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),B),C)).
% 156.80/156.95 ** KEPT (pick-wt=25): 101 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=25): 102 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=25): 103 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=25): 104 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=25): 105 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=13): 106 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),B).
% 156.80/156.95 ** KEPT (pick-wt=13): 107 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),B).
% 156.80/156.95 ** KEPT (pick-wt=28): 108 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=23): 109 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=31): 110 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),A).
% 156.80/156.95 ** KEPT (pick-wt=10): 111 [] -c_Orderings_Oorder(A,B,C)|hBOOL(hAPP(hAPP(A,D),D)).
% 156.80/156.95 ** KEPT (pick-wt=15): 112 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=B.
% 156.80/156.95 ** KEPT (pick-wt=15): 113 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 156.80/156.95 Following clause subsumed by 113 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)).
% 156.80/156.95 ** KEPT (pick-wt=13): 114 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 156.80/156.95 Following clause subsumed by 114 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 156.80/156.95 Following clause subsumed by 114 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 156.80/156.95 ** KEPT (pick-wt=15): 115 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=B.
% 156.80/156.95 ** KEPT (pick-wt=14): 116 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -c_lesse_quals(C,B,A).
% 156.80/156.95 ** KEPT (pick-wt=14): 117 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|c_lesse_quals(B,C,A).
% 156.80/156.95 ** KEPT (pick-wt=14): 118 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -c_lesse_quals(B,C,A).
% 156.80/156.95 ** KEPT (pick-wt=16): 119 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=16): 120 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=16): 121 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=C|c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=11): 122 [] c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(A,B,C),D),C)| -c_Finite__Set_Ofinite(D,B).
% 156.80/156.95 ** KEPT (pick-wt=25): 123 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=16): 124 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 156.80/156.95 ** KEPT (pick-wt=16): 125 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 156.80/156.95 ** KEPT (pick-wt=16): 126 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 156.80/156.95 ** KEPT (pick-wt=16): 127 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(A,D,E).
% 156.80/156.95 Following clause subsumed by 126 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 156.80/156.95 Following clause subsumed by 125 during input processing: 0 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 156.80/156.95 Following clause subsumed by 126 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 156.80/156.95 Following clause subsumed by 127 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D)|hBOOL(hAPP(hAPP(C,B),B)).
% 156.80/156.95 Following clause subsumed by 29 during input processing: 0 [] -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(A,C,D)| -hBOOL(hAPP(hAPP(C,B),B)).
% 156.80/156.95 ** KEPT (pick-wt=30): 128 [] c_lesse_quals(c_SetInterval_Oord_OatLeastAtMost(A,B,C,D),c_SetInterval_Oord_OatLeastAtMost(A,E,F,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(A,C),F))| -hBOOL(hAPP(hAPP(A,E),B))| -c_Orderings_Oorder(A,G,D).
% 156.80/156.95 ** KEPT (pick-wt=24): 129 [] c_lesse_quals(c_SetInterval_Oord_OatLeastAtMost(A,B,C,D),c_SetInterval_Oord_OatLeastAtMost(A,E,F,D),tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(A,B),C))| -c_Orderings_Oorder(A,G,D).
% 156.80/156.95 ** KEPT (pick-wt=30): 130 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,D),B))| -c_lesse_quals(c_SetInterval_Oord_OatLeastAtMost(A,D,B,E),c_SetInterval_Oord_OatLeastAtMost(A,F,C,E),tc_fun(E,tc_bool))| -c_Orderings_Oorder(A,G,E).
% 156.80/156.95 ** KEPT (pick-wt=30): 131 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,C),D))| -c_lesse_quals(c_SetInterval_Oord_OatLeastAtMost(A,C,D,E),c_SetInterval_Oord_OatLeastAtMost(A,B,F,E),tc_fun(E,tc_bool))| -c_Orderings_Oorder(A,G,E).
% 156.80/156.95 ** KEPT (pick-wt=14): 132 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 156.80/156.95 ** KEPT (pick-wt=14): 133 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 156.80/156.95 ** KEPT (pick-wt=14): 134 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 156.80/156.95 ** KEPT (pick-wt=18): 135 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=13): 136 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=15): 137 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=15): 138 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=32): 139 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))| -hBOOL(c_in(B,D,A)).
% 156.80/156.95 ** KEPT (pick-wt=19): 140 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=19): 141 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=19): 142 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=15): 143 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=15): 144 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=15): 145 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=15): 146 [] -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).
% 156.80/156.95 Following clause subsumed by 143 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).
% 156.80/156.95 Following clause subsumed by 144 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).
% 156.80/156.95 ** KEPT (pick-wt=17): 147 [] hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),E),C))| -hBOOL(c_in(hAPP(B,A),E,D)).
% 156.80/156.95 Following clause subsumed by 147 during input processing: 0 [] hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),E),C))| -hBOOL(c_in(hAPP(B,A),E,D)).
% 156.80/156.95 Following clause subsumed by 147 during input processing: 0 [] hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),E),C))| -hBOOL(c_in(hAPP(B,A),E,D)).
% 156.80/156.95 ** KEPT (pick-wt=17): 148 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,hAPP(c_Set_Ovimage(A,E,D),C),E)).
% 156.80/156.95 Following clause subsumed by 148 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,hAPP(c_Set_Ovimage(A,E,D),C),E)).
% 156.80/156.95 ** KEPT (pick-wt=23): 149 [] 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).
% 156.80/156.95 ** KEPT (pick-wt=23): 150 [] 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).
% 156.80/156.95 ** KEPT (pick-wt=15): 151 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(B,c_SetInterval_Oord_OatLeastAtMost(A,D,C,E),E)).
% 156.80/156.95 ** KEPT (pick-wt=15): 152 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(C,c_SetInterval_Oord_OatLeastAtMost(A,B,D,E),E)).
% 156.80/156.95 ** KEPT (pick-wt=15): 153 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 156.80/156.95 ** KEPT (pick-wt=15): 154 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 156.80/156.95 ** KEPT (pick-wt=20): 155 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 156.80/156.95 ** KEPT (pick-wt=20): 156 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 156.80/156.95 ** KEPT (pick-wt=19): 157 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,B),C))|B=C| -c_Orderings_Oorder(D,A,E).
% 156.80/156.95 Following clause subsumed by 157 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 156.80/156.95 Following clause subsumed by 157 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 156.80/156.95 Following clause subsumed by 157 during input processing: 0 [] A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Oorder(D,C,E).
% 156.80/156.95 ** KEPT (pick-wt=21): 158 [] 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)).
% 156.80/156.95 Following clause subsumed by 158 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)).
% 156.80/156.95 ** KEPT (pick-wt=57): 159 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A)| -c_OrderedGroup_Oab__semigroup__mult(D,A)|c_Finite__Set_Ofold1(D,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)=hAPP(hAPP(D,c_Finite__Set_Ofold1(D,B,A)),c_Finite__Set_Ofold1(D,C,A)).
% 156.80/156.95 ** KEPT (pick-wt=5): 160 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 156.80/156.95 Following clause subsumed by 37 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),c_Collect(D,C)),C)).
% 156.80/156.95 ** KEPT (pick-wt=35): 161 [] -hBOOL(c_in(hAPP(A,B),hAPP(c_Set_Oimage(A,C,D),c_HOL_Ominus__class_Ominus(E,hAPP(hAPP(c_Set_Oinsert(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool))),D))| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Set_Oinsert(C),B),E),C,D).
% 156.80/156.95 ** KEPT (pick-wt=19): 162 [] A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(D,C,E).
% 156.80/156.95 Following clause subsumed by 162 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(C,D,E).
% 156.80/156.95 ** KEPT (pick-wt=15): 163 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),A),B)).
% 156.80/156.95 ** KEPT (pick-wt=15): 164 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),D),B)).
% 156.80/156.95 ** KEPT (pick-wt=19): 165 [] c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(B,hAPP(c_Set_Oimage(A,C,C),B),tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 156.80/156.95 ** KEPT (pick-wt=17): 166 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),E),B),C,D).
% 156.80/156.95 ** KEPT (pick-wt=17): 167 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),E),C,D).
% 156.80/156.95 ** KEPT (pick-wt=17): 168 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),hAPP(c_Set_Oimage(D,C,E),B),E)).
% 156.80/156.95 Following clause subsumed by 168 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),hAPP(c_Set_Oimage(D,C,E),B),E)).
% 156.80/156.95 Following clause subsumed by 168 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),hAPP(c_Set_Oimage(A,C,D),E),D))| -hBOOL(c_in(B,E,C)).
% 156.80/156.95 Following clause subsumed by 168 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),hAPP(c_Set_Oimage(A,C,D),E),D))| -hBOOL(c_in(B,E,C)).
% 156.80/156.95 ** KEPT (pick-wt=24): 169 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=24): 170 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=7): 171 [] -class_Lattices_Olower__semilattice(A)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(A),A,A).
% 156.80/156.95 ** KEPT (pick-wt=13): 172 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 156.80/156.95 ** KEPT (pick-wt=13): 173 [] 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).
% 156.80/156.95 ** KEPT (pick-wt=16): 174 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 156.80/156.95 ** KEPT (pick-wt=11): 175 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 156.80/156.95 ** KEPT (pick-wt=11): 176 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 156.80/156.95 ** KEPT (pick-wt=12): 177 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=12): 178 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=7): 179 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 156.80/156.95 ** KEPT (pick-wt=15): 180 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 156.80/156.95 ** KEPT (pick-wt=15): 181 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 156.80/156.95 ** KEPT (pick-wt=17): 182 [] hAPP(c_Set_Oimage(A,B,C),D)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|D=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=18): 183 [] 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).
% 156.80/156.95 ** KEPT (pick-wt=18): 184 [] 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).
% 156.80/156.95 ** KEPT (pick-wt=12): 185 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 156.80/156.95 ** KEPT (pick-wt=8): 186 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 156.80/156.95 Following clause subsumed by 186 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 156.80/156.95 Following clause subsumed by 186 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 156.80/156.95 Following clause subsumed by 186 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 156.80/156.95 ** KEPT (pick-wt=15): 187 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=12): 188 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 156.80/156.95 ** KEPT (pick-wt=10): 189 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 156.80/156.95 ** KEPT (pick-wt=17): 190 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=hAPP(c_Set_Oimage(B,C,A),D)|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 156.80/156.95 Following clause subsumed by 186 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 156.80/156.95 ** KEPT (pick-wt=19): 191 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=19): 192 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=24): 194 [copy,193,flip.1] hAPP(hAPP(c_Set_Oinsert(A),c_Nitpick_Osko__Nitpick__XEx1__def__1__2(B,A)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B|hBOOL(hAPP(B,c_Nitpick_Osko__Nitpick__XEx1__def__1__1(B,C,A)))| -hBOOL(hAPP(B,C)).
% 156.80/156.95 ** KEPT (pick-wt=26): 195 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool)))=C| -hBOOL(c_in(B,C,A)).
% 156.80/156.95 ** KEPT (pick-wt=23): 196 [] hAPP(A,B)=C| -hBOOL(c_in(B,hAPP(c_Set_Ovimage(A,D,E),hAPP(hAPP(c_Set_Oinsert(E),C),c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)))),D)).
% 156.80/156.95 ** KEPT (pick-wt=32): 197 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))| -hBOOL(c_in(C,B,A)).
% 156.80/156.95 ** KEPT (pick-wt=32): 198 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=11): 199 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 156.80/156.95 ** KEPT (pick-wt=11): 200 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 156.80/156.95 ** KEPT (pick-wt=19): 201 [] -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).
% 156.80/156.95 Following clause subsumed by 201 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).
% 156.80/156.95 Following clause subsumed by 201 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).
% 156.80/156.95 ** KEPT (pick-wt=11): 202 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 156.80/156.95 ** KEPT (pick-wt=11): 203 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 156.80/156.95 ** KEPT (pick-wt=25): 204 [] 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)).
% 156.80/156.95 Following clause subsumed by 204 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)).
% 156.80/156.95 ** KEPT (pick-wt=20): 205 [] c_SetInterval_Oord_OatLeastAtMost(A,B,C,D)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(A,B),C))| -c_Orderings_Oorder(A,E,D).
% 156.80/156.95 ** KEPT (pick-wt=20): 206 [] c_SetInterval_Oord_OatLeastAtMost(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -c_Orderings_Oorder(A,E,D)| -hBOOL(hAPP(hAPP(A,B),C)).
% 156.80/156.95 ** KEPT (pick-wt=5): 207 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 156.80/156.95 ** KEPT (pick-wt=30): 208 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 156.80/156.95 ** KEPT (pick-wt=30): 210 [copy,209,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 156.80/156.95 ** KEPT (pick-wt=22): 211 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -hBOOL(c_in(B,D,A)).
% 156.80/156.95 ** KEPT (pick-wt=20): 212 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=20): 213 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=19): 214 [] hAPP(hAPP(A,B),hAPP(hAPP(A,B),C))=hAPP(hAPP(A,B),C)| -c_Finite__Set_Ofun__left__comm__idem(A,D,E).
% 156.80/156.95 ** KEPT (pick-wt=21): 215 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)),C).
% 156.80/156.95 ** KEPT (pick-wt=21): 216 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),B).
% 156.80/156.95 ** KEPT (pick-wt=17): 217 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B)).
% 156.80/156.95 ** KEPT (pick-wt=17): 218 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,C,B)).
% 156.80/156.95 ** KEPT (pick-wt=15): 219 [] c_Finite__Set_Ofun__left__comm__idem(c_COMBB(A,B,C,tc_fun(D,D),E),E,D)| -c_Finite__Set_Ofun__left__comm__idem(A,C,D).
% 156.80/156.95 ** KEPT (pick-wt=21): 220 [] hBOOL(c_in(A,c_SetInterval_Oord_OatLeastAtMost(B,C,D,E),E))| -hBOOL(hAPP(hAPP(B,A),D))| -hBOOL(hAPP(hAPP(B,C),A)).
% 156.80/156.95 ** KEPT (pick-wt=10): 221 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B.
% 156.80/156.95 ** KEPT (pick-wt=15): 222 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 156.80/156.95 ** KEPT (pick-wt=15): 223 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 156.80/156.95 ** KEPT (pick-wt=15): 224 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,D,A).
% 156.80/156.95 ** KEPT (pick-wt=15): 225 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,C,A).
% 156.80/156.95 Following clause subsumed by 222 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 156.80/156.95 Following clause subsumed by 223 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 156.80/156.95 ** KEPT (pick-wt=19): 226 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),A),D),B,tc_fun(C,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=19): 227 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),A),B,tc_fun(C,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=18): 228 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=23): 229 [] -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)).
% 156.80/156.95 ** KEPT (pick-wt=14): 230 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 156.80/156.95 ** KEPT (pick-wt=14): 231 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 156.80/156.95 ** KEPT (pick-wt=16): 232 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 156.80/156.95 Following clause subsumed by 232 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)).
% 156.80/156.95 Following clause subsumed by 232 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)).
% 156.80/156.95 Following clause subsumed by 232 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)).
% 156.80/156.95 ** KEPT (pick-wt=18): 233 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=16): 234 [] c_Fun_Oinj__on(A,B,C,D)| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,E,C,D).
% 156.80/156.95 ** KEPT (pick-wt=14): 235 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=6): 236 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 156.80/156.95 ** KEPT (pick-wt=6): 237 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 156.80/156.95 ** KEPT (pick-wt=12): 238 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 156.80/156.95 Following clause subsumed by 235 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 156.80/156.95 Following clause subsumed by 238 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).
% 156.80/156.95 ** KEPT (pick-wt=32): 239 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=15): 240 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=15): 241 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=19): 242 [] A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 156.80/156.95 Following clause subsumed by 242 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 156.80/156.95 Following clause subsumed by 242 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Oorder(C,D,E).
% 156.80/156.95 ** KEPT (pick-wt=45): 243 [] hAPP(c_Set_Oimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(B,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(A,B,C),D),hAPP(c_Set_Oimage(A,B,C),E),tc_fun(C,tc_bool))| -c_lesse_quals(E,F,tc_fun(B,tc_bool))| -c_lesse_quals(D,F,tc_fun(B,tc_bool))| -c_Fun_Oinj__on(A,F,B,C).
% 156.80/156.95 ** KEPT (pick-wt=18): 244 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=23): 245 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=15): 246 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(hAPP(c_Set_Ovimage(B,D,E),A),C)).
% 156.80/156.95 ** KEPT (pick-wt=15): 247 [] hBOOL(hAPP(hAPP(c_Set_Ovimage(A,B,C),D),E))| -hBOOL(hAPP(D,hAPP(A,E))).
% 156.80/156.95 ** KEPT (pick-wt=19): 248 [] A=B|hBOOL(hAPP(hAPP(C,B),A))|hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Olinorder(D,C,E).
% 156.80/156.95 Following clause subsumed by 248 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))|C=B| -c_Orderings_Olinorder(D,A,E).
% 156.80/156.95 Following clause subsumed by 248 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|C=B|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 156.80/156.95 Following clause subsumed by 248 during input processing: 0 [] A=B|hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Olinorder(D,C,E).
% 156.80/156.95 ** KEPT (pick-wt=16): 249 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=22): 250 [] 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)).
% 156.80/156.95 Following clause subsumed by 250 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)).
% 156.80/156.95 ** KEPT (pick-wt=19): 251 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=25): 252 [] 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)).
% 156.80/156.95 ** KEPT (pick-wt=19): 253 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=19): 254 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=22): 255 [] c_lesse_quals(hAPP(c_Set_Oimage(A,B,C),D),hAPP(c_Set_Oimage(A,B,C),E),tc_fun(C,tc_bool))| -c_lesse_quals(D,E,tc_fun(B,tc_bool)).
% 156.80/156.95 Following clause subsumed by 255 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(hAPP(c_Set_Oimage(D,C,E),A),hAPP(c_Set_Oimage(D,C,E),B),tc_fun(E,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=20): 256 [] -class_Orderings_Oorder(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OlessThan(B,A)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=16): 257 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(C,A,B,D)| -c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(C,B,D),A),D).
% 156.80/156.95 ** KEPT (pick-wt=16): 258 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=13): 259 [] -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)).
% 156.80/156.95 Following clause subsumed by 207 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 156.80/156.95 ** KEPT (pick-wt=10): 260 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 156.80/156.95 ** KEPT (pick-wt=23): 262 [copy,261,flip.3] c_Nitpick_Osko__Nitpick__XEx1__def__1__1(A,B,C)!=B| -hBOOL(hAPP(A,B))|hAPP(hAPP(c_Set_Oinsert(C),c_Nitpick_Osko__Nitpick__XEx1__def__1__2(A,C)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))=A.
% 156.80/156.95 ** KEPT (pick-wt=19): 263 [] c_SetInterval_Oord_OatLeastAtMost(A,B,B,C)=hAPP(hAPP(c_Set_Oinsert(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))| -c_Orderings_Oorder(A,D,C).
% 156.80/156.95 ** KEPT (pick-wt=19): 264 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(c_in(B,C,A))| -c_OrderedGroup_Oab__semigroup__mult(D,E).
% 156.80/156.95 ** KEPT (pick-wt=25): 265 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 156.80/156.95 ** KEPT (pick-wt=18): 266 [] -c_Orderings_Olinorder(A,B,C)|c_Finite__Set_Ofold1(D,hAPP(hAPP(c_Set_Oinsert(E),F),c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))),E)=F.
% 156.80/156.95 ** KEPT (pick-wt=28): 267 [] -class_Orderings_Oorder(A)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_SetInterval_Oord__class_OlessThan(B,A),tc_fun(A,tc_bool))=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 156.80/156.95 ** KEPT (pick-wt=36): 268 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=25): 269 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 156.80/156.95 ** KEPT (pick-wt=22): 270 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(A),B),C),hAPP(hAPP(c_Set_Oinsert(A),B),D),tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=15): 271 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 156.80/156.95 Following clause subsumed by 271 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 156.80/156.95 ** KEPT (pick-wt=26): 272 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),D))=hAPP(hAPP(E,C),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,B).
% 156.80/156.95 ** KEPT (pick-wt=26): 273 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),D))=hAPP(hAPP(E,C),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,B).
% 156.80/156.95 ** KEPT (pick-wt=18): 274 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),C)).
% 156.80/156.95 ** KEPT (pick-wt=11): 275 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 156.80/156.95 ** KEPT (pick-wt=11): 276 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(B),C),A),B).
% 156.80/156.95 ** KEPT (pick-wt=17): 277 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=17): 278 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(C),D),A),B,tc_fun(C,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=15): 279 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Set_Oinsert(C),E),B),C,D).
% 156.80/156.95 ** KEPT (pick-wt=26): 280 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=hAPP(hAPP(c_Set_Oinsert(A),B),D)|hBOOL(c_in(B,D,A))|hBOOL(c_in(B,C,A))|C=D.
% 156.80/156.95 ** KEPT (pick-wt=13): 281 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)=C| -hBOOL(c_in(B,C,A)).
% 156.80/156.95 ** KEPT (pick-wt=15): 282 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,D,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C).
% 156.80/156.95 ** KEPT (pick-wt=15): 283 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(D,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 156.80/156.95 ** KEPT (pick-wt=11): 284 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=58): 285 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=56): 286 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,G,D,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,G,D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=58): 287 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=52): 288 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=46): 289 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=50): 290 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=46): 291 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=52): 292 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=46): 293 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=50): 294 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=46): 295 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.95 ** KEPT (pick-wt=56): 296 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OSemi(D,E),F,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(G,E,F,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,D,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 156.80/156.95 ** KEPT (pick-wt=11): 297 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 156.80/156.95 ** KEPT (pick-wt=11): 298 [] -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).
% 156.80/156.95 ** KEPT (pick-wt=31): 299 [] A=hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))|A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)).
% 156.80/156.95 ** KEPT (pick-wt=23): 300 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,B).
% 156.80/156.95 ** KEPT (pick-wt=23): 301 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,B).
% 156.80/156.95 ** KEPT (pick-wt=15): 302 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 156.80/156.95 ** KEPT (pick-wt=15): 303 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 156.80/156.95 ** KEPT (pick-wt=32): 304 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))))=hAPP(hAPP(E,C),D)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,B).
% 156.80/156.95 ** KEPT (pick-wt=32): 305 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))))=hAPP(hAPP(E,C),D)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,B).
% 156.80/156.96 ** KEPT (pick-wt=18): 306 [] A=B| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(C,hAPP(hAPP(c_Set_Oinsert(D),A),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),D),B)).
% 156.80/156.96 ** KEPT (pick-wt=25): 307 [] A=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),B)| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),A)).
% 156.80/156.96 ** KEPT (pick-wt=16): 308 [] A=B| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),C)).
% 156.80/156.96 ** KEPT (pick-wt=15): 309 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 156.80/156.96 ** KEPT (pick-wt=16): 311 [copy,310,flip.2] -class_Orderings_Oorder(A)|hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A).
% 156.80/156.96 ** KEPT (pick-wt=16): 312 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(c_in(B,C,A)).
% 156.80/156.96 ** KEPT (pick-wt=15): 313 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 156.80/156.96 ** KEPT (pick-wt=28): 314 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),D),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 156.80/156.96 ** KEPT (pick-wt=12): 315 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 156.80/156.96 ** KEPT (pick-wt=11): 317 [copy,316,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=35): 318 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|C=D|C=E.
% 156.80/156.96 ** KEPT (pick-wt=35): 319 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|B=E|C=E.
% 156.80/156.96 ** KEPT (pick-wt=35): 320 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|C=D|B=D.
% 156.80/156.96 ** KEPT (pick-wt=35): 321 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|B=E|B=D.
% 156.80/156.96 ** KEPT (pick-wt=7): 322 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 156.80/156.96 ** KEPT (pick-wt=16): 323 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(D),C),A),B)).
% 156.80/156.96 Following clause subsumed by 317 during input processing: 0 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=22): 324 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))!=hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))|B=C.
% 156.80/156.96 ** KEPT (pick-wt=13): 325 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(A),B),C),D))| -hBOOL(hAPP(C,D)).
% 156.80/156.96 ** KEPT (pick-wt=18): 326 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 156.80/156.96 ** KEPT (pick-wt=6): 327 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 156.80/156.96 ** KEPT (pick-wt=6): 328 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 156.80/156.96 ** KEPT (pick-wt=6): 329 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 156.80/156.96 ** KEPT (pick-wt=6): 330 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 156.80/156.96 ** KEPT (pick-wt=6): 331 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 156.80/156.96 ** KEPT (pick-wt=8): 332 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 156.80/156.96 ** KEPT (pick-wt=6): 333 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 156.80/156.96 ** KEPT (pick-wt=6): 334 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 156.80/156.96 ** KEPT (pick-wt=6): 335 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 156.80/156.96 ** KEPT (pick-wt=6): 336 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 156.80/156.96 ** KEPT (pick-wt=6): 337 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 156.80/156.96 ** KEPT (pick-wt=6): 338 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 156.80/156.96 ** KEPT (pick-wt=9): 339 [] A=B| -hBOOL(hAPP(c_fe_qual(A,C),B)).
% 156.80/156.96 277 back subsumes 268.
% 156.80/156.96 277 back subsumes 62.
% 156.80/156.96 312 back subsumes 264.
% 156.80/156.96 317 back subsumes 312.
% 156.80/156.96 355 back subsumes 354.
% 156.80/156.96
% 156.80/156.96 ------------> process sos:
% 156.80/156.96 ** KEPT (pick-wt=3): 378 [] A=A.
% 156.80/156.96 ** KEPT (pick-wt=11): 380 [copy,379,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 156.80/156.96 ---> New Demodulator: 381 [new_demod,380] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 156.80/156.96 ** KEPT (pick-wt=38): 382 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ** KEPT (pick-wt=38): 384 [copy,383,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ---> New Demodulator: 385 [new_demod,384] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ** KEPT (pick-wt=10): 386 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 156.80/156.96 ---> New Demodulator: 387 [new_demod,386] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 156.80/156.96 ** KEPT (pick-wt=29): 388 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=17): 389 [] 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.
% 156.80/156.96 ---> New Demodulator: 390 [new_demod,389] 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.
% 156.80/156.96 ** KEPT (pick-wt=14): 391 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 156.80/156.96 ---> New Demodulator: 392 [new_demod,391] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 156.80/156.96 ** KEPT (pick-wt=8): 393 [] hAPP(c_COMBK(A,B,C),D)=A.
% 156.80/156.96 ---> New Demodulator: 394 [new_demod,393] hAPP(c_COMBK(A,B,C),D)=A.
% 156.80/156.96 ** KEPT (pick-wt=18): 395 [] 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)).
% 156.80/156.96 ---> New Demodulator: 396 [new_demod,395] 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)).
% 156.80/156.96 ** KEPT (pick-wt=31): 397 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(A,B,C),D),hAPP(c_Set_Oimage(A,B,C),E),tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(B,tc_bool))),tc_fun(C,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=31): 398 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 156.80/156.96 ** KEPT (pick-wt=31): 399 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ---> New Demodulator: 400 [new_demod,399] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ** KEPT (pick-wt=36): 402 [copy,401,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool)).
% 156.80/156.96 ---> New Demodulator: 403 [new_demod,402] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=13): 404 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=13): 405 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=17): 406 [] 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).
% 156.80/156.96 ** KEPT (pick-wt=11): 407 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=73): 409 [copy,408,demod,400,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 156.80/156.96 ---> New Demodulator: 410 [new_demod,409] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 156.80/156.96 ** KEPT (pick-wt=17): 411 [] hAPP(c_Set_Oimage(c_COMBK(A,B,C),C,B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=27): 412 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)|hBOOL(c_in(C,B,A)).
% 156.80/156.96 ** KEPT (pick-wt=27): 413 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)|hBOOL(c_in(B,D,A)).
% 156.80/156.96 ** KEPT (pick-wt=22): 414 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 156.80/156.96 ---> New Demodulator: 415 [new_demod,414] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 156.80/156.96 ** KEPT (pick-wt=22): 416 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 156.80/156.96 ---> New Demodulator: 417 [new_demod,416] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 156.80/156.96 ** KEPT (pick-wt=28): 418 [] hAPP(c_Set_Ovimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(A,B,C),D),hAPP(c_Set_Ovimage(A,B,C),E),tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=16): 419 [] c_lesse_quals(hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Ovimage(A,B,C),D)),D,tc_fun(C,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=5): 420 [] c_Collect(A,B)=A.
% 156.80/156.96 ---> New Demodulator: 421 [new_demod,420] c_Collect(A,B)=A.
% 156.80/156.96 ** KEPT (pick-wt=35): 422 [] c_lesse_quals(hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),D),E)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E)),tc_fun(C,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=31): 423 [] 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)).
% 156.80/156.96 ---> New Demodulator: 424 [new_demod,423] 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)).
% 156.80/156.96 ** KEPT (pick-wt=31): 425 [] 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)).
% 156.80/156.96 ** KEPT (pick-wt=27): 427 [copy,426,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(A,B,C),D),E,C,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(E,A,C,tc_fun(F,tc_bool),B),B,tc_fun(F,tc_bool)).
% 156.80/156.96 ---> New Demodulator: 428 [new_demod,427] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(A,B,C),D),E,C,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(E,A,C,tc_fun(F,tc_bool),B),B,tc_fun(F,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=19): 429 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 156.80/156.96 ---> New Demodulator: 430 [new_demod,429] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 156.80/156.96 ** KEPT (pick-wt=19): 431 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 156.80/156.96 ---> New Demodulator: 432 [new_demod,431] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 156.80/156.96 ** KEPT (pick-wt=34): 433 [] 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)).
% 156.80/156.96 ---> New Demodulator: 434 [new_demod,433] 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)).
% 156.80/156.96 ** KEPT (pick-wt=34): 435 [] 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)).
% 156.80/156.96 ---> New Demodulator: 436 [new_demod,435] 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)).
% 156.80/156.96 ** KEPT (pick-wt=34): 437 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),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)).
% 156.80/156.96 ---> New Demodulator: 438 [new_demod,437] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),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)).
% 156.80/156.96 ** KEPT (pick-wt=22): 439 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=B.
% 156.80/156.96 ---> New Demodulator: 440 [new_demod,439] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=B.
% 156.80/156.96 ** KEPT (pick-wt=42): 442 [copy,441,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=14): 443 [] 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).
% 156.80/156.96 ---> New Demodulator: 444 [new_demod,443] 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).
% 156.80/156.96 ** KEPT (pick-wt=29): 445 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),hAPP(D,B)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 156.80/156.96 ** KEPT (pick-wt=19): 446 [] hAPP(c_Set_Ovimage(c_COMBK(A,B,C),C,B),D)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,D,B)).
% 156.80/156.96 ** KEPT (pick-wt=32): 448 [copy,447,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 156.80/156.96 ---> New Demodulator: 449 [new_demod,448] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=17): 450 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 156.80/156.96 Following clause subsumed by 378 during input processing: 0 [demod,403] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool)).
% 156.80/156.96 Following clause subsumed by 378 during input processing: 0 [demod,403] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=24): 451 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 156.80/156.96 ---> New Demodulator: 452 [new_demod,451] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 156.80/156.96 ** KEPT (pick-wt=25): 454 [copy,453,demod,434] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=32): 455 [] hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 156.80/156.96 ** KEPT (pick-wt=28): 457 [copy,456,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))|hBOOL(c_in(B,D,A)).
% 156.80/156.96 ** KEPT (pick-wt=32): 458 [] hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 156.80/156.96 ** KEPT (pick-wt=14): 459 [] hAPP(c_Set_Ovimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.96 Following clause subsumed by 378 during input processing: 0 [demod,387] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=12): 460 [] 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)).
% 156.80/156.96 ** KEPT (pick-wt=14): 461 [] 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)).
% 156.80/156.96 ---> New Demodulator: 462 [new_demod,461] 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)).
% 156.80/156.96 ** KEPT (pick-wt=13): 463 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 156.80/156.96 ---> New Demodulator: 464 [new_demod,463] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 156.80/156.96 ** KEPT (pick-wt=13): 465 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 156.80/156.96 ---> New Demodulator: 466 [new_demod,465] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 156.80/156.96 ** KEPT (pick-wt=11): 467 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=11): 468 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 156.80/156.96 ---> New Demodulator: 469 [new_demod,468] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 156.80/156.96 ** KEPT (pick-wt=6): 470 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 156.80/156.96 ** KEPT (pick-wt=16): 471 [] 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)).
% 156.80/156.96 ---> New Demodulator: 472 [new_demod,471] 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)).
% 156.80/156.96 ** KEPT (pick-wt=16): 473 [] 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)).
% 156.80/156.96 ---> New Demodulator: 474 [new_demod,473] 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)).
% 156.80/156.96 ** KEPT (pick-wt=9): 475 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=14): 476 [] hAPP(c_Set_Oimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=8): 477 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 156.80/156.96 ** KEPT (pick-wt=14): 478 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Oimage(B,C,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 156.80/156.96 ** KEPT (pick-wt=38): 480 [copy,479,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))))),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Set_Oinsert(C),D),E)).
% 156.80/156.96 ---> New Demodulator: 481 [new_demod,480] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))))),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Set_Oinsert(C),D),E)).
% 156.80/156.96 ** KEPT (pick-wt=27): 482 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBB(hAPP(c_Set_Oinsert(B),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.96 ---> New Demodulator: 483 [new_demod,482] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBB(hAPP(c_Set_Oinsert(B),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=13): 484 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=13): 485 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),C,tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=38): 487 [copy,486,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ---> New Demodulator: 488 [new_demod,487] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ** KEPT (pick-wt=38): 489 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ** KEPT (pick-wt=23): 491 [copy,490,flip.1] hAPP(c_Set_Oimage(c_COMBB(A,B,C,D,E),E,D),F)=hAPP(c_Set_Oimage(A,C,D),hAPP(c_Set_Oimage(B,E,C),F)).
% 156.80/156.96 ---> New Demodulator: 492 [new_demod,491] hAPP(c_Set_Oimage(c_COMBB(A,B,C,D,E),E,D),F)=hAPP(c_Set_Oimage(A,C,D),hAPP(c_Set_Oimage(B,E,C),F)).
% 156.80/156.96 ** KEPT (pick-wt=24): 493 [] 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).
% 156.80/156.96 ---> New Demodulator: 494 [new_demod,493] 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).
% 156.80/156.96 ** KEPT (pick-wt=32): 495 [] hAPP(c_Set_Oimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(B,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Oimage(A,B,C),E,tc_fun(B,tc_bool),tc_fun(C,tc_bool),F),F,tc_fun(C,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=32): 496 [] hAPP(c_Set_Ovimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(C,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Ovimage(A,B,C),E,tc_fun(C,tc_bool),tc_fun(B,tc_bool),F),F,tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=10): 497 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 156.80/156.96 ---> New Demodulator: 498 [new_demod,497] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 156.80/156.96 ** KEPT (pick-wt=6): 499 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 156.80/156.96 Following clause subsumed by 499 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 156.80/156.96 Following clause subsumed by 378 during input processing: 0 [demod,428] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(E,A,C,tc_fun(F,tc_bool),B),B,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(E,A,C,tc_fun(F,tc_bool),B),B,tc_fun(F,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=44): 501 [copy,500,demod,434,436,498,436,438] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=34): 503 [copy,502,demod,434,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)).
% 156.80/156.96 ---> New Demodulator: 504 [new_demod,503] 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)).
% 156.80/156.96 ** KEPT (pick-wt=32): 506 [copy,505,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(B,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 156.80/156.96 ---> New Demodulator: 507 [new_demod,506] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(B,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=35): 508 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 156.80/156.96 ** KEPT (pick-wt=7): 509 [] c_The(c_fe_qual(A,B),B)=A.
% 156.80/156.96 ---> New Demodulator: 510 [new_demod,509] c_The(c_fe_qual(A,B),B)=A.
% 156.80/156.96 Following clause subsumed by 442 during input processing: 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=32): 511 [] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E)).
% 156.80/156.96 ** KEPT (pick-wt=25): 512 [] hAPP(c_Set_Oimage(c_COMBK(A,B,C),C,B),D)=hAPP(hAPP(c_Set_Oinsert(B),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=38): 514 [copy,513,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Set_Oinsert(A),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=18): 516 [copy,515,flip.1] hAPP(hAPP(c_Set_Oinsert(A),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(B,A)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(B,A))=B|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=20): 517 [] hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),hAPP(hAPP(c_Set_Oinsert(D),hAPP(B,A)),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)))),C)).
% 156.80/156.96 Following clause subsumed by 514 during input processing: 0 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Set_Oinsert(A),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=26): 518 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool))=C|hBOOL(c_in(B,C,A)).
% 156.80/156.96 ** KEPT (pick-wt=25): 519 [] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Set_Oinsert(B),D),E))=hAPP(hAPP(c_Set_Oinsert(C),hAPP(A,D)),hAPP(c_Set_Oimage(A,B,C),E)).
% 156.80/156.96 ** KEPT (pick-wt=11): 520 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),A),tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=32): 521 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),hAPP(hAPP(c_Set_Oinsert(A),B),D))=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ---> New Demodulator: 522 [new_demod,521] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),hAPP(hAPP(c_Set_Oinsert(A),B),D))=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ** KEPT (pick-wt=27): 523 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 156.80/156.96 ** KEPT (pick-wt=27): 524 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ---> New Demodulator: 525 [new_demod,524] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.96 ** KEPT (pick-wt=10): 526 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 156.80/156.96 Following clause subsumed by 526 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 156.80/156.96 Following clause subsumed by 526 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 156.80/156.96 ** KEPT (pick-wt=7): 527 [] c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(A),A,tc_fun(A,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=32): 528 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C))).
% 156.80/156.96 ** KEPT (pick-wt=32): 529 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C))).
% 156.80/156.96 ** KEPT (pick-wt=32): 530 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C))).
% 156.80/156.96 ** KEPT (pick-wt=18): 531 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OSKIP,C,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 156.80/156.96 ** KEPT (pick-wt=13): 533 [copy,532,demod,421,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_fe_qual(B,A).
% 156.80/156.96 ---> New Demodulator: 534 [new_demod,533] hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_fe_qual(B,A).
% 156.80/156.96 ** KEPT (pick-wt=7): 536 [copy,535,demod,534] hBOOL(c_in(A,c_fe_qual(A,B),B)).
% 156.80/156.96 ** KEPT (pick-wt=10): 538 [copy,537,demod,534,534] hBOOL(hAPP(c_fe_qual(A,B),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_fe_qual(A,B),B))).
% 156.80/156.96 ** KEPT (pick-wt=19): 540 [copy,539,demod,534] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=c_fe_qual(B,A).
% 156.80/156.96 ---> New Demodulator: 541 [new_demod,540] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=c_fe_qual(B,A).
% 156.80/156.96 ** KEPT (pick-wt=9): 543 [copy,542,demod,534] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_fe_qual(B,C),C),B)).
% 156.80/156.96 Following clause subsumed by 378 during input processing: 0 [demod,534,510] B=B.
% 156.80/156.96 ** KEPT (pick-wt=25): 545 [copy,544,demod,534] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fe_qual(C,B),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=25): 547 [copy,546,demod,534] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),c_fe_qual(C,B),tc_fun(B,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=7): 549 [copy,548,demod,534] c_Set_Ocontents(c_fe_qual(A,B),B)=A.
% 156.80/156.96 ---> New Demodulator: 550 [new_demod,549] c_Set_Ocontents(c_fe_qual(A,B),B)=A.
% 156.80/156.96 ** KEPT (pick-wt=8): 552 [copy,551,demod,534] c_Finite__Set_Ofold1(A,c_fe_qual(B,C),C)=B.
% 156.80/156.96 ---> New Demodulator: 553 [new_demod,552] c_Finite__Set_Ofold1(A,c_fe_qual(B,C),C)=B.
% 156.80/156.96 ** KEPT (pick-wt=20): 555 [copy,554,demod,534] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,c_fe_qual(B,A),tc_fun(A,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 156.80/156.96 ---> New Demodulator: 556 [new_demod,555] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,c_fe_qual(B,A),tc_fun(A,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 156.80/156.96 ** KEPT (pick-wt=17): 558 [copy,557,demod,534] hAPP(hAPP(c_Set_Oinsert(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C).
% 156.80/156.96 ---> New Demodulator: 559 [new_demod,558] hAPP(hAPP(c_Set_Oinsert(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C).
% 156.80/156.96 ** KEPT (pick-wt=13): 561 [copy,560,demod,559] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C),B)).
% 156.80/156.96 ** KEPT (pick-wt=8): 562 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B).
% 156.80/156.96 Following clause subsumed by 378 during input processing: 0 [demod,559,559,452,559] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C).
% 156.80/156.96 Following clause subsumed by 398 during input processing: 0 [demod,559,559,559,559] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(C,A)),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(C,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),D)).
% 156.80/156.96 Following clause subsumed by 450 during input processing: 0 [demod,559,464,559,559,464,559] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),c_fe_qual(C,A))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(C,A)),c_fe_qual(B,A)).
% 156.80/156.96 ** KEPT (pick-wt=15): 564 [copy,563,demod,559] c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_fe_qual(v_t,tc_Hoare__Mirabelle_Otriple(t_a))),v_ts),t_a).
% 156.80/156.96 ** KEPT (pick-wt=2): 565 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 566 [] class_Lattices_Oupper__semilattice(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 567 [] class_Lattices_Olower__semilattice(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 568 [] class_Lattices_Odistrib__lattice(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 569 [] class_Lattices_Obounded__lattice(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 570 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 571 [] class_Orderings_Opreorder(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 572 [] class_Lattices_Olattice(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 573 [] class_Orderings_Oorder(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 574 [] class_Orderings_Obot(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 575 [] class_HOL_Ominus(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=2): 576 [] class_HOL_Oord(tc_bool).
% 156.80/156.96 ** KEPT (pick-wt=6): 577 [] hBOOL(hAPP(c_fe_qual(A,B),A)).
% 156.80/156.96 Following clause subsumed by 378 during input processing: 0 [copy,378,flip.1] A=A.
% 156.80/156.96 378 back subsumes 370.
% 156.80/156.96 378 back subsumes 365.
% 156.80/156.96 378 back subsumes 363.
% 156.80/156.96 378 back subsumes 353.
% 156.80/156.96 378 back subsumes 352.
% 156.80/156.96 378 back subsumes 342.
% 156.80/156.96 >>>> Starting back demodulation with 381.
% 156.80/156.96 ** KEPT (pick-wt=38): 578 [copy,382,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),C).
% 156.80/156.96 >>>> Starting back demodulation with 385.
% 156.80/156.96 >>>> Starting back demodulation with 387.
% 156.80/156.96 >> back demodulating 358 with 387.
% 156.80/156.96 >> back demodulating 357 with 387.
% 156.80/156.96 >> back demodulating 349 with 387.
% 156.80/156.96 >> back demodulating 348 with 387.
% 156.80/156.96 >> back demodulating 346 with 387.
% 156.80/156.96 >> back demodulating 343 with 387.
% 156.80/156.96 >> back demodulating 341 with 387.
% 156.80/156.96 ** KEPT (pick-wt=29): 579 [copy,388,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),B),B,tc_fun(A,tc_bool)).
% 156.80/156.96 >>>> Starting back demodulation with 390.
% 156.80/156.96 >>>> Starting back demodulation with 392.
% 156.80/156.96 >>>> Starting back demodulation with 394.
% 156.80/156.96 >>>> Starting back demodulation with 396.
% 156.80/156.96 Following clause subsumed by 398 during input processing: 0 [copy,398,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 156.80/156.96 >>>> Starting back demodulation with 400.
% 156.80/156.96 >>>> Starting back demodulation with 403.
% 156.80/156.96 Following clause subsumed by 406 during input processing: 0 [copy,406,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).
% 156.80/156.96 >>>> Starting back demodulation with 410.
% 156.80/156.96 Following clause subsumed by 478 during input processing: 0 [copy,411,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Oimage(c_COMBK(B,A,C),C,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 156.80/156.96 >>>> Starting back demodulation with 415.
% 156.80/156.96 >>>> Starting back demodulation with 417.
% 156.80/156.96 >> back demodulating 52 with 417.
% 156.80/156.96 ** KEPT (pick-wt=28): 580 [copy,418,flip.1] c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(A,B,C),D),hAPP(c_Set_Ovimage(A,B,C),E),tc_fun(B,tc_bool))=hAPP(c_Set_Ovimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool))).
% 156.80/156.96 >>>> Starting back demodulation with 421.
% 156.80/156.96 >> back demodulating 245 with 421.
% 156.80/156.96 >> back demodulating 188 with 421.
% 156.80/156.96 >> back demodulating 185 with 421.
% 156.80/156.96 >> back demodulating 57 with 421.
% 156.80/156.96 >> back demodulating 56 with 421.
% 156.80/156.96 >> back demodulating 16 with 421.
% 156.80/156.96 >>>> Starting back demodulation with 424.
% 156.80/156.96 >> back demodulating 409 with 424.
% 156.80/156.96 Following clause subsumed by 425 during input processing: 0 [copy,425,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)).
% 156.80/156.96 >>>> Starting back demodulation with 428.
% 156.80/156.96 >>>> Starting back demodulation with 430.
% 156.80/156.96 >>>> Starting back demodulation with 432.
% 156.80/156.96 >>>> Starting back demodulation with 434.
% 156.80/156.96 >>>> Starting back demodulation with 436.
% 156.80/156.96 >>>> Starting back demodulation with 438.
% 156.80/156.96 >> back demodulating 435 with 438.
% 156.80/156.96 >>>> Starting back demodulation with 440.
% 156.80/156.96 >>>> Starting back demodulation with 444.
% 156.80/156.96 ** KEPT (pick-wt=33): 589 [copy,445,flip.1,demod,559] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_fe_qual(C,E)),D),B,E,tc_fun(A,tc_bool)).
% 156.80/156.96 >>>> Starting back demodulation with 449.
% 156.80/156.96 Following clause subsumed by 450 during input processing: 0 [copy,450,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 156.80/156.96 >>>> Starting back demodulation with 452.
% 156.80/156.96 ** KEPT (pick-wt=18): 590 [copy,454,flip.1,demod,498] 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)).
% 156.80/156.96 ** KEPT (pick-wt=32): 591 [copy,455,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_Set_Ovimage(B,A,C),D)),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E)).
% 156.80/156.96 ** KEPT (pick-wt=32): 592 [copy,458,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(c_Set_Ovimage(B,A,C),D)),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E)).
% 156.80/156.96 ** KEPT (pick-wt=14): 593 [copy,459,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Ovimage(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 156.80/156.96 >>>> Starting back demodulation with 462.
% 156.80/156.96 >>>> Starting back demodulation with 464.
% 156.80/156.96 >>>> Starting back demodulation with 466.
% 156.80/156.96 ** KEPT (pick-wt=11): 594 [copy,467,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 156.80/156.96 >>>> Starting back demodulation with 469.
% 156.80/156.96 >>>> Starting back demodulation with 472.
% 156.80/156.96 >>>> Starting back demodulation with 474.
% 156.80/156.96 475 back subsumes 460.
% 156.80/156.96 Following clause subsumed by 478 during input processing: 0 [copy,476,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Oimage(B,C,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 156.80/156.96 476 back subsumes 411.
% 156.80/156.96 Following clause subsumed by 476 during input processing: 0 [copy,478,flip.1] hAPP(c_Set_Oimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 156.80/156.96 >>>> Starting back demodulation with 481.
% 156.80/156.96 >>>> Starting back demodulation with 483.
% 156.80/156.96 >>>> Starting back demodulation with 488.
% 156.80/156.96 ** KEPT (pick-wt=38): 595 [copy,489,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),C).
% 156.80/156.96 >>>> Starting back demodulation with 492.
% 156.80/156.96 >>>> Starting back demodulation with 494.
% 156.80/156.96 ** KEPT (pick-wt=32): 596 [copy,495,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBB(c_Set_Oimage(B,C,D),E,tc_fun(C,tc_bool),tc_fun(D,tc_bool),F),F,tc_fun(D,tc_bool))=hAPP(c_Set_Oimage(B,C,D),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,E,F,tc_fun(C,tc_bool))).
% 156.80/156.96 ** KEPT (pick-wt=32): 597 [copy,496,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBB(c_Set_Ovimage(B,C,D),E,tc_fun(D,tc_bool),tc_fun(C,tc_bool),F),F,tc_fun(C,tc_bool))=hAPP(c_Set_Ovimage(B,C,D),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,E,F,tc_fun(D,tc_bool))).
% 156.80/156.96 >>>> Starting back demodulation with 498.
% 156.80/156.96 >> back demodulating 454 with 498.
% 156.80/156.96 >> back demodulating 367 with 498.
% 156.80/156.96 >> back demodulating 366 with 498.
% 156.80/156.96 >> back demodulating 362 with 498.
% 156.80/156.96 >> back demodulating 360 with 498.
% 156.80/156.96 >> back demodulating 351 with 498.
% 156.80/156.96 >> back demodulating 340 with 498.
% 156.80/156.96 ** KEPT (pick-wt=44): 600 [copy,501,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool)).
% 156.80/156.96 >>>> Starting back demodulation with 504.
% 156.80/156.96 >> back demodulating 433 with 504.
% 156.80/156.96 >>>> Starting back demodulation with 507.
% 156.80/156.96 ** KEPT (pick-wt=35): 603 [copy,508,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,C,D,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),B),E),C,D,tc_fun(A,tc_bool)).
% 156.80/156.96 >>>> Starting back demodulation with 510.
% 156.80/156.96 ** KEPT (pick-wt=32): 604 [copy,511,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_Set_Oimage(B,C,A),D)),hAPP(c_Set_Oimage(B,C,A),E))=hAPP(c_Set_Oimage(B,C,A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E)).
% 156.80/156.96 ** KEPT (pick-wt=33): 605 [copy,519,flip.1,demod,559,559] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(hAPP(B,C),A)),hAPP(c_Set_Oimage(B,D,A),E))=hAPP(c_Set_Oimage(B,D,A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),c_fe_qual(C,D)),E)).
% 156.80/156.96 >>>> Starting back demodulation with 522.
% 156.80/156.96 Following clause subsumed by 398 during input processing: 0 [copy,523,flip.1,demod,559,559] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),D)).
% 156.80/156.96 >>>> Starting back demodulation with 525.
% 156.80/156.96 >>>> Starting back demodulation with 534.
% 156.80/156.96 >> back demodulating 531 with 534.
% 156.80/156.96 >> back demodulating 530 with 534.
% 156.80/156.96 >> back demodulating 529 with 534.
% 156.80/156.96 >> back demodulating 528 with 534.
% 156.80/156.96 >> back demodulating 518 with 534.
% 156.80/156.96 >> back demodulating 517 with 534.
% 156.80/156.96 >> back demodulating 512 with 534.
% 156.80/156.96 >> back demodulating 480 with 534.
% 156.80/156.96 >> back demodulating 376 with 534.
% 156.80/156.96 >> back demodulating 375 with 534.
% 156.80/156.96 >> back demodulating 374 with 534.
% 156.80/156.96 >> back demodulating 373 with 534.
% 156.80/156.96 >> back demodulating 372 with 534.
% 156.80/156.96 >> back demodulating 371 with 534.
% 156.80/156.96 >> back demodulating 326 with 534.
% 156.80/156.96 >> back demodulating 324 with 534.
% 156.80/156.96 >> back demodulating 321 with 534.
% 156.80/156.96 >> back demodulating 320 with 534.
% 156.80/156.96 >> back demodulating 319 with 534.
% 156.80/156.96 >> back demodulating 318 with 534.
% 156.80/156.96 >> back demodulating 314 with 534.
% 156.80/156.96 >> back demodulating 313 with 534.
% 156.80/156.96 >> back demodulating 311 with 534.
% 156.80/156.96 >> back demodulating 309 with 534.
% 156.80/156.96 >> back demodulating 308 with 534.
% 156.80/156.96 >> back demodulating 307 with 534.
% 156.80/156.96 >> back demodulating 306 with 534.
% 156.80/156.96 >> back demodulating 305 with 534.
% 156.80/156.96 >> back demodulating 304 with 534.
% 156.80/156.96 >> back demodulating 303 with 534.
% 156.80/156.96 >> back demodulating 302 with 534.
% 156.80/156.96 >> back demodulating 301 with 534.
% 156.80/156.96 >> back demodulating 300 with 534.
% 156.80/156.96 >> back demodulating 299 with 534.
% 156.80/156.96 >> back demodulating 296 with 534.
% 156.80/156.96 >> back demodulating 295 with 534.
% 156.80/156.96 >> back demodulating 294 with 534.
% 156.80/156.96 >> back demodulating 293 with 534.
% 156.80/156.96 >> back demodulating 292 with 534.
% 156.80/156.96 >> back demodulating 291 with 534.
% 156.80/156.96 >> back demodulating 290 with 534.
% 156.80/156.96 >> back demodulating 289 with 534.
% 156.80/156.96 >> back demodulating 288 with 534.
% 156.80/156.96 >> back demodulating 287 with 534.
% 156.80/156.96 >> back demodulating 286 with 534.
% 156.80/156.96 >> back demodulating 285 with 534.
% 156.80/156.96 >> back demodulating 269 with 534.
% 156.80/156.96 >> back demodulating 267 with 534.
% 156.80/156.96 >> back demodulating 266 with 534.
% 156.80/156.96 >> back demodulating 265 with 534.
% 156.80/156.96 >> back demodulating 263 with 534.
% 156.80/156.96 >> back demodulating 262 with 534.
% 156.80/156.96 >> back demodulating 196 with 534.
% 156.80/156.96 >> back demodulating 195 with 534.
% 156.80/156.96 >> back demodulating 194 with 534.
% 156.80/156.96 >> back demodulating 161 with 534.
% 156.80/156.96 >> back demodulating 20 with 534.
% 156.80/156.96 >> back demodulating 10 with 534.
% 156.80/156.96 >> back demodulating 6 with 534.
% 156.80/156.96 >> back demodulating 5 with 534.
% 156.80/156.96 >>>> Starting back demodulation with 541.
% 156.80/156.96 ** KEPT (pick-wt=29): 661 [copy,545,flip.1,demod,559] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fe_qual(B,C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(B,C)),D),tc_fun(C,tc_bool)).
% 156.80/156.96 ** KEPT (pick-wt=29): 662 [copy,547,flip.1,demod,559] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_fe_qual(D,C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(D,C)),B),tc_fun(C,tc_bool)).
% 156.80/156.96 >>>> Starting back demodulation with 550.
% 156.80/156.96 >>>> Starting back demodulation with 553.
% 156.80/156.96 >>>> Starting back demodulation with 556.
% 156.80/156.96 >>>> Starting back demodulation with 559.
% 156.80/156.96 >> back demodulating 555 with 559.
% 156.80/156.96 >> back demodulating 547 with 559.
% 156.80/156.96 >> back demodulating 545 with 559.
% 156.80/156.96 >> back demodulating 540 with 559.
% 156.80/156.96 >> back demodulating 533 with 559.
% 156.80/156.96 >> back demodulating 526 with 559.
% 156.80/156.96 >> back demodulating 524 with 559.
% 156.80/156.96 >> back demodulating 523 with 559.
% 156.80/156.96 >> back demodulating 521 with 559.
% 156.80/156.96 >> back demodulating 520 with 559.
% 156.80/156.96 >> back demodulating 519 with 559.
% 156.80/156.96 >> back demodulating 516 with 559.
% 156.80/156.96 >> back demodulating 514 with 559.
% 156.80/156.96 >> back demodulating 457 with 559.
% 156.80/156.96 >> back demodulating 445 with 559.
% 156.80/156.96 >> back demodulating 413 with 559.
% 156.80/156.97 >> back demodulating 412 with 559.
% 156.80/156.97 >> back demodulating 325 with 559.
% 156.80/156.97 >> back demodulating 323 with 559.
% 156.80/156.97 >> back demodulating 317 with 559.
% 156.80/156.97 >> back demodulating 281 with 559.
% 156.80/156.97 >> back demodulating 280 with 559.
% 156.80/156.97 >> back demodulating 279 with 559.
% 156.80/156.97 >> back demodulating 278 with 559.
% 156.80/156.97 >> back demodulating 277 with 559.
% 156.80/156.97 >> back demodulating 276 with 559.
% 156.80/156.97 >> back demodulating 275 with 559.
% 156.80/156.97 >> back demodulating 274 with 559.
% 156.80/156.97 >> back demodulating 273 with 559.
% 156.80/156.97 >> back demodulating 272 with 559.
% 156.80/156.97 >> back demodulating 271 with 559.
% 156.80/156.97 >> back demodulating 270 with 559.
% 156.80/156.97 >> back demodulating 216 with 559.
% 156.80/156.97 >> back demodulating 215 with 559.
% 156.80/156.97 >> back demodulating 211 with 559.
% 156.80/156.97 >> back demodulating 197 with 559.
% 156.80/156.97 >> back demodulating 139 with 559.
% 156.80/156.97 >> back demodulating 75 with 559.
% 156.80/156.97 >> back demodulating 71 with 559.
% 156.80/156.97 >> back demodulating 70 with 559.
% 156.80/156.97 >> back demodulating 67 with 559.
% 156.80/156.97 >> back demodulating 63 with 559.
% 156.80/156.97 >> back demodulating 61 with 559.
% 156.80/156.97 >> back demodulating 59 with 559.
% 156.80/156.97 >> back demodulating 2 with 559.
% 156.80/156.97 Following clause subsumed by 382 during input processing: 0 [copy,578,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.97 Following clause subsumed by 388 during input processing: 0 [copy,579,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.97 Following clause subsumed by 418 during input processing: 0 [copy,580,flip.1] hAPP(c_Set_Ovimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(A,B,C),D),hAPP(c_Set_Ovimage(A,B,C),E),tc_fun(B,tc_bool)).
% 156.80/156.97 >>>> Starting back demodulation with 586.
% 156.80/156.97 >>>> Starting back demodulation with 588.
% 156.80/156.97 Following clause subsumed by 670 during input processing: 0 [copy,589,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),hAPP(D,B)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 156.80/156.97 Following clause subsumed by 598 during input processing: 0 [copy,590,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)).
% 156.80/156.97 Following clause subsumed by 455 during input processing: 0 [copy,591,flip.1] hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 156.80/156.97 Following clause subsumed by 458 during input processing: 0 [copy,592,flip.1] hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 156.80/156.97 Following clause subsumed by 459 during input processing: 0 [copy,593,flip.1] hAPP(c_Set_Ovimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.97 Following clause subsumed by 467 during input processing: 0 [copy,594,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 156.80/156.97 Following clause subsumed by 489 during input processing: 0 [copy,595,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 156.80/156.97 Following clause subsumed by 495 during input processing: 0 [copy,596,flip.1] hAPP(c_Set_Oimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(B,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Oimage(A,B,C),E,tc_fun(B,tc_bool),tc_fun(C,tc_bool),F),F,tc_fun(C,tc_bool)).
% 156.80/156.97 Following clause subsumed by 496 during input processing: 0 [copy,597,flip.1] hAPP(c_Set_Ovimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(C,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Ovimage(A,B,C),E,tc_fun(C,tc_bool),tc_fun(B,tc_bool),F),F,tc_fun(B,tc_bool)).
% 156.80/156.97 Following clause subsumed by 590 during input processing: 0 [copy,598,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)).
% 156.80/156.97 Following clause subsumed by 501 during input processing: 0 [copy,600,flip.1] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 156.80/156.97 >>>> Starting back demodulation with 602.
% 156.80/156.97 Following clause subsumed by 508 during input processing: 0 [copy,603,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 156.80/156.97 Following clause subsumed by 511 during input processing: 0 [copy,604,flip.1] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E)).
% 156.80/156.97 Following clause subsumed by 666 during input processing: 0 [copy,605,flip.1] hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_fe_qual(D,B)),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(hAPP(A,D),C)),hAPP(c_Set_Oimage(A,B,C),E)).
% 156.80/156.97 Following clause subsumed by 664 during input processing: 0 [copy,661,flip.1] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_fe_qual(C,B)),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fe_qual(C,B),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 156.80/156.97 Following clause subsumed by 663 during input processing: 0 [copy,662,flip.1] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_fe_qual(C,B)),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),c_fe_qual(C,B),tc_fun(B,tc_bool)).
% 156.80/156.97 Following clause subsumed by 662 during input processing: 0 [copy,663,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_fe_qual(D,C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(D,C)),B),tc_fun(C,tc_bool)).
% 156.80/156.97 Following clause subsumed by 661 during input processing: 0 [copy,664,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fe_qual(B,C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fe_qual(B,C)),D),tc_fun(C,tc_bool)).
% 156.80/156.97 Following clause subsumed by 605 during input processing: 0 [copy,666,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(hAPP(B,C),A)),hAPP(c_Set_Oimage(B,D,A),E))=hAPP(c_Set_Oimage(B,D,A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),c_fe_qual(C,D)),E)).
% 156.80/156.97 Following clause subsumed by 589 during input processing: 0 [copy,670,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_fe_qual(C,E)),D),B,E,tc_fun(A,tc_bool)).
% 156.80/156.97 ** KEPT (pick-wt=15): 695 [copy,674,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C).
% 158.67/158.80 Following clause subsumed by 674 during input processing: 0 [copy,695,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fe_qual(B,A)),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 158.67/158.80
% 158.67/158.80 ======= end of input processing =======
% 158.67/158.80
% 158.67/158.80 =========== start of search ===========
% 158.67/158.80
% 158.67/158.80
% 158.67/158.80 Resetting weight limit to 2.
% 158.67/158.80
% 158.67/158.80
% 158.67/158.80 Resetting weight limit to 2.
% 158.67/158.80
% 158.67/158.80 sos_size=206
% 158.67/158.80
% 158.67/158.80 Search stopped because sos empty.
% 158.67/158.80
% 158.67/158.80
% 158.67/158.80 Search stopped because sos empty.
% 158.67/158.80
% 158.67/158.80 ============ end of search ============
% 158.67/158.80
% 158.67/158.80 -------------- statistics -------------
% 158.67/158.80 clauses given 207
% 158.67/158.80 clauses generated 151411
% 158.67/158.80 clauses kept 608
% 158.67/158.80 clauses forward subsumed 136
% 158.67/158.80 clauses back subsumed 13
% 158.67/158.80 Kbytes malloced 11718
% 158.67/158.80
% 158.67/158.80 ----------- times (seconds) -----------
% 158.67/158.80 user CPU time 1.87 (0 hr, 0 min, 1 sec)
% 158.67/158.80 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 158.67/158.80 wall-clock time 159 (0 hr, 2 min, 39 sec)
% 158.67/158.80
% 158.67/158.80 Process 27868 finished Wed Jul 27 06:01:49 2022
% 158.67/158.80 Otter interrupted
% 158.67/158.80 PROOF NOT FOUND
%------------------------------------------------------------------------------