TSTP Solution File: SCT007-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT007-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:12:25 EDT 2022
% Result : Unknown 212.49s 212.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SCT007-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 09:18:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 212.49/212.51 ----- Otter 3.3f, August 2004 -----
% 212.49/212.51 The process was started by sandbox2 on n026.cluster.edu,
% 212.49/212.51 Wed Jul 27 09:18:24 2022
% 212.49/212.51 The command was "./otter". The process ID is 25301.
% 212.49/212.51
% 212.49/212.51 set(prolog_style_variables).
% 212.49/212.51 set(auto).
% 212.49/212.51 dependent: set(auto1).
% 212.49/212.51 dependent: set(process_input).
% 212.49/212.51 dependent: clear(print_kept).
% 212.49/212.51 dependent: clear(print_new_demod).
% 212.49/212.51 dependent: clear(print_back_demod).
% 212.49/212.51 dependent: clear(print_back_sub).
% 212.49/212.51 dependent: set(control_memory).
% 212.49/212.51 dependent: assign(max_mem, 12000).
% 212.49/212.51 dependent: assign(pick_given_ratio, 4).
% 212.49/212.51 dependent: assign(stats_level, 1).
% 212.49/212.51 dependent: assign(max_seconds, 10800).
% 212.49/212.51 clear(print_given).
% 212.49/212.51
% 212.49/212.51 list(usable).
% 212.49/212.51 0 [] A=A.
% 212.49/212.51 0 [] c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a)=c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a).
% 212.49/212.51 0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 212.49/212.51 0 [] c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Oantisym(V_r,T_a).
% 212.49/212.51 0 [] c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a)!=c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a)| -hBOOL(c_in(V_x,V_C,T_a))|V_A=V_B.
% 212.49/212.51 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).
% 212.49/212.51 0 [] -hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.51 0 [] hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_A,T_a)).
% 212.49/212.51 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 212.49/212.51 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,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)).
% 212.49/212.51 0 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 212.49/212.51 0 [] c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)| -c_Relation_Osym(V_r,T_a).
% 212.49/212.51 0 [] c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Relation_OId(T_a).
% 212.49/212.51 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oimage(V_f,V_A,T_b,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 212.49/212.51 0 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 212.49/212.51 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 212.49/212.51 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 212.49/212.51 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] hBOOL(c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)).
% 212.49/212.51 0 [] c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.51 0 [] c_Relation_Orel__comp(V_R,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.51 0 [] c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b)=V_A| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.51 0 [] c_Collect(V_P,T_a)=V_P.
% 212.49/212.51 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 212.49/212.51 0 [] hBOOL(c_Relation_Otrans(V_r,T_a))| -hBOOL(c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a)).
% 212.49/212.51 0 [] hBOOL(c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a))| -hBOOL(c_Relation_Otrans(V_r,T_a)).
% 212.49/212.51 0 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -hBOOL(c_Relation_Otrans(V_r,T_a))| -c_Relation_Osym(V_r,T_a).
% 212.49/212.51 0 [] c_Relation_Orel__comp(c_Relation_Orel__comp(V_R,V_S,T_a,T_d,T_c),V_T,T_a,T_c,T_b)=c_Relation_Orel__comp(V_R,c_Relation_Orel__comp(V_S,V_T,T_d,T_c,T_b),T_a,T_d,T_b).
% 212.49/212.51 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Osym(V_s,T_a)| -c_Relation_Osym(V_r,T_a).
% 212.49/212.51 0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B.
% 212.49/212.51 0 [] c_lesse_quals(V_B,hAPP(V_A,V_i),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_i,V_I,T_b))| -c_lesse_quals(V_B,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 212.49/212.51 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Relation_Oconverse(c_Relation_Oinv__image(V_R,V_f,T_b,T_a),T_a,T_a)=c_Relation_Oinv__image(c_Relation_Oconverse(V_R,T_b,T_b),V_f,T_b,T_a).
% 212.49/212.51 0 [] c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a).
% 212.49/212.51 0 [] hBOOL(c_in(V_b,hAPP(V_B,V_a),T_a))| -hBOOL(c_in(V_a,V_A,T_b))| -hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.51 0 [] -hBOOL(c_in(V_a,V_A,T_b))|hBOOL(c_in(V_b,hAPP(V_B,V_a),T_a))| -hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.51 0 [] hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 212.49/212.51 0 [] hBOOL(c_Relation_Otrans(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b))| -hBOOL(c_Relation_Otrans(V_r,T_a)).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(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.
% 212.49/212.51 0 [] c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.51 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).
% 212.49/212.51 0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 212.49/212.51 0 [] c_lesse_quals(c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),T_b)| -c_Finite__Set_Ofinite(hAPP(V_A,V_x),T_b)| -hBOOL(c_in(V_x,V_I,T_a)).
% 212.49/212.51 0 [] hBOOL(c_in(V_a,V_A,T_a))| -hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.51 0 [] hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_a,V_A,T_a))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.51 0 [] c_Relation_ORange(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a)=c_Relation_ODomain(V_r,T_a,T_b).
% 212.49/212.51 0 [] hBOOL(c_Order__Relation_Opartial__order__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)).
% 212.49/212.51 0 [] c_lesse_quals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_x,V_C,T_a)).
% 212.49/212.51 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_b,tc_bool))| -c_lesse_quals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))| -hBOOL(c_in(V_x,V_C,T_a)).
% 212.49/212.51 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.51 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.51 0 [] c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_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).
% 212.49/212.51 0 [] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 212.49/212.51 0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.51 0 [] c_Relation_Oconverse(c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a)=c_Relation_Orel__comp(c_Relation_Oconverse(V_s,T_c,T_a),c_Relation_Oconverse(V_r,T_b,T_c),T_a,T_c,T_b).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=V_A.
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 212.49/212.51 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.51 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=V_c|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 212.49/212.51 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OINFI(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)).
% 212.49/212.51 0 [] hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a))| -hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))| -hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b)| -c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 212.49/212.51 0 [] c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 212.49/212.51 0 [] c_lesse_quals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))| -c_lesse_quals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool))| -c_lesse_quals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.51 0 [] hBOOL(c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)).
% 212.49/212.51 0 [] c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_b,T_a),tc_bool)),V_A,T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_S,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Relation_OImage(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Transitive__Closure_Ortrancl(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a)=c_Relation_ORange(V_r,T_a,T_a).
% 212.49/212.51 0 [] c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_HOL_Ouminus__class_Ouminus(c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(V_A,c_HOL_Ouminus__class_Ouminus(c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -c_lesse_quals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 212.49/212.51 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 212.49/212.51 0 [] c_Relation_Oconverse(V_r,T_a,T_a)!=V_r|c_Relation_Osym(V_r,T_a).
% 212.49/212.51 0 [] c_Relation_Oconverse(V_r,T_a,T_a)=V_r| -c_Relation_Osym(V_r,T_a).
% 212.49/212.51 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.51 0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)).
% 212.49/212.51 0 [] c_lesse_quals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.51 0 [] hAPP(V_f,hAPP(c_Nat_Ocompow(V_n,V_f,T_a,T_a),V_x))=hAPP(c_Nat_Ocompow(V_n,V_f,T_a,T_a),hAPP(V_f,V_x)).
% 212.49/212.51 0 [] c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 212.49/212.51 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 212.49/212.51 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.51 0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 212.49/212.51 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).
% 212.49/212.51 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.
% 212.49/212.51 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.
% 212.49/212.51 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)).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 212.49/212.51 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 212.49/212.51 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 212.49/212.51 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a).
% 212.49/212.51 0 [] c_Transitive__Closure_Ortrancl(V_S,T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a)| -c_lesse_quals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=c_Orderings_Otop__class_Otop(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=c_Orderings_Obot__class_Obot(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)=V_y.
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 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)).
% 212.49/212.51 0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 212.49/212.51 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 212.49/212.51 0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 212.49/212.51 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 212.49/212.51 0 [] c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 212.49/212.51 0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 212.49/212.51 0 [] c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] hBOOL(c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a))| -hBOOL(c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a)).
% 212.49/212.51 0 [] c_lesse_quals(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_a),T_a,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))| -c_lesse_quals(V_s,c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.51 0 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -c_lesse_quals(c_Relation_Orel__comp(V_R,V_S,T_a,T_a,T_a),V_R,tc_fun(tc_prod(T_a,T_a),tc_bool))| -hBOOL(c_Wellfounded_Owf(V_S,T_a))| -hBOOL(c_Wellfounded_Owf(V_R,T_a)).
% 212.49/212.51 0 [] hBOOL(c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -hBOOL(c_Relation_Otrans(V_r,T_a)).
% 212.49/212.51 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 212.49/212.51 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 212.49/212.51 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_s,T_a,T_a),tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_Wellfounded_Owf(V_s,T_a))| -hBOOL(c_Wellfounded_Owf(V_r,T_a))|hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)).
% 212.49/212.51 0 [] c_Transitive__Closure_Ortrancl(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(T_a),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] c_Set_Oimage(V_f,V_A,T_a,T_a)=V_A| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 212.49/212.51 0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.51 0 [] c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Relation_Orel__comp(V_r,V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -hBOOL(c_Relation_Otrans(V_r,T_a)).
% 212.49/212.51 0 [] c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),T_a,T_c)| -c_Relation_Osingle__valued(V_s,T_b,T_c)| -c_Relation_Osingle__valued(V_r,T_a,T_b).
% 212.49/212.51 0 [] c_Relation_Oantisym(V_r,T_a)| -hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)).
% 212.49/212.51 0 [] c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a)=V_r.
% 212.49/212.51 0 [] c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Orefl__on(V_B,V_s,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 212.49/212.51 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Transitive__Closure_Ortrancl(V_r,T_a),T_a).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 212.49/212.51 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_a,T_b),hAPP(V_M,V_i),T_b)| -hBOOL(c_in(V_i,V_A,T_a)).
% 212.49/212.51 0 [] c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),hAPP(V_B,V_a),tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_a,V_A,T_a)).
% 212.49/212.51 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 212.49/212.51 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 212.49/212.51 0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B.
% 212.49/212.51 0 [] c_Order__Relation_Olinear__order__on(v_A,v_r,t_a)=c_and(c_Order__Relation_Opartial__order__on(v_A,v_r,t_a),c_Relation_Ototal__on(v_A,v_r,t_a)).
% 212.49/212.51 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 212.49/212.51 0 [] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 212.49/212.51 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_Wellfounded_Owf(V_R,T_a)).
% 212.49/212.51 0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 212.49/212.51 0 [] c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Oantisym(V_r,T_a).
% 212.49/212.51 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 212.49/212.51 0 [] c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 212.49/212.51 0 [] -hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] hBOOL(c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -hBOOL(c_Relation_Otrans(V_s,T_a))| -hBOOL(c_Relation_Otrans(V_r,T_a)).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a).
% 212.49/212.51 0 [] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Wellfounded_Oacyclic(V_r,T_a).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 212.49/212.51 0 [] c_Relation_Orel__comp(V_B,V_C,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_C,T_a,T_a,T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(V_A,V_B,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a,T_a,T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 212.49/212.51 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 212.49/212.51 0 [] c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))!=c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))|V_A=V_B.
% 212.49/212.51 0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 212.49/212.51 0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 212.49/212.51 0 [] c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Wellfounded_Oacyclic(V_r,T_a).
% 212.49/212.51 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)).
% 212.49/212.51 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)).
% 212.49/212.51 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).
% 212.49/212.51 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).
% 212.49/212.51 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).
% 212.49/212.51 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 212.49/212.51 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Orefl__on(V_B,V_s,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 212.49/212.51 0 [] c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 212.49/212.51 0 [] c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Transitive__Closure_Otrancl(V_r,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 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).
% 212.49/212.51 0 [] c_Relation_ORange(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.51 0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.51 0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_c,V_A,T_b)).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 212.49/212.51 0 [] c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 212.49/212.51 0 [] c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a).
% 212.49/212.52 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)).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] -class_HOL_Ouminus(t_b)|hAPP(c_HOL_Ouminus__class_Ouminus(v_A,tc_fun(t_a,t_b)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(v_A,v_x),t_b).
% 212.49/212.52 0 [] c_Relation_ORange(v_r,t_a,t_b)=c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a).
% 212.49/212.52 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.52 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.52 0 [] c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 212.49/212.52 0 [] hBOOL(c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a)).
% 212.49/212.52 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 212.49/212.52 0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 212.49/212.52 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 212.49/212.52 0 [] c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_S,V_R,T_a,T_c,T_b),c_Relation_Orel__comp(V_T,V_R,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] c_Relation_Orel__comp(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_S,T_a,T_c,T_b),c_Relation_Orel__comp(V_R,V_T,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] c_Relation_Osingle__valued(c_Nat_Ocompow(V_n,V_R,tc_prod(T_a,T_a),tc_bool),T_a,T_a)| -c_Relation_Osingle__valued(V_R,T_a,T_a).
% 212.49/212.52 0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 212.49/212.52 0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)).
% 212.49/212.52 0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)).
% 212.49/212.52 0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)).
% 212.49/212.52 0 [] hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)).
% 212.49/212.52 0 [] hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)).
% 212.49/212.52 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool))!=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 212.49/212.52 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).
% 212.49/212.52 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).
% 212.49/212.52 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 212.49/212.52 0 [] c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 212.49/212.52 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 212.49/212.52 0 [] c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_Orel__comp(V_R,c_Nat_Ocompow(V_n,V_R,tc_prod(T_a,T_a),tc_bool),T_a,T_a,T_a)=c_Relation_Orel__comp(c_Nat_Ocompow(V_n,V_R,tc_prod(T_a,T_a),tc_bool),V_R,T_a,T_a,T_a).
% 212.49/212.52 0 [] c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 212.49/212.52 0 [] c_Relation_ODomain(V_r,T_a,T_b)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_r=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a).
% 212.49/212.52 0 [] c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 212.49/212.52 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a)=c_Relation_ODomain(V_r,T_a,T_a).
% 212.49/212.52 0 [] c_Relation_ODomain(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 212.49/212.52 0 [] c_Relation_Osym(V_r,T_a)| -c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 212.49/212.52 0 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Owell__order__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)).
% 212.49/212.52 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 212.49/212.52 0 [] hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.52 0 [] c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 212.49/212.52 0 [] c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|hBOOL(c_Wellfounded_Owf(V_R,T_a)).
% 212.49/212.52 0 [] c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 212.49/212.52 0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 212.49/212.52 0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.52 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 212.49/212.52 0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.52 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)).
% 212.49/212.52 0 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Osym(V_s,T_a)| -c_Relation_Osym(V_r,T_a).
% 212.49/212.52 0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.52 0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=V_r| -hBOOL(c_Relation_Otrans(V_r,T_a)).
% 212.49/212.52 0 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 212.49/212.52 0 [] c_lesse_quals(V_r,c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 212.49/212.52 0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)).
% 212.49/212.52 0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)).
% 212.49/212.52 0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 212.49/212.52 0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 212.49/212.52 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.52 0 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 212.49/212.52 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 212.49/212.52 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 212.49/212.52 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 212.49/212.52 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 212.49/212.52 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 212.49/212.52 0 [] c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a).
% 212.49/212.52 0 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 212.49/212.52 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 212.49/212.52 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 212.49/212.52 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 212.49/212.52 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).
% 212.49/212.52 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).
% 212.49/212.52 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Ominus__class_Ominus(V_b,V_a,T_a).
% 212.49/212.52 0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 212.49/212.52 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=V_x.
% 212.49/212.52 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=V_x.
% 212.49/212.52 0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),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)).
% 212.49/212.52 0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),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)).
% 212.49/212.52 0 [] c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -class_HOL_Ouminus(T_b)|hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b).
% 212.49/212.52 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 212.49/212.52 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 212.49/212.52 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 212.49/212.52 0 [] c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hAPP(c_Order__Relation_Ostrict__linear__order__on(v_A,t_a),v_r)=c_and(c_Relation_Otrans(v_r,t_a),c_and(c_Relation_Oirrefl(v_r,t_a),c_Relation_Ototal__on(v_A,v_r,t_a))).
% 212.49/212.52 0 [] c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool))| -c_Relation_Osingle__valued(c_Relation_Oconverse(V_R,T_b,T_a),T_a,T_b).
% 212.49/212.52 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).
% 212.49/212.52 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).
% 212.49/212.52 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 212.49/212.52 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 212.49/212.52 0 [] c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),V_r))| -hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))| -hBOOL(c_Relation_Oirrefl(V_r,T_a))| -hBOOL(c_Relation_Otrans(V_r,T_a)).
% 212.49/212.52 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 212.49/212.52 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 212.49/212.52 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 212.49/212.52 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 212.49/212.52 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 212.49/212.52 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 212.49/212.52 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 212.49/212.52 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b)=c_Relation_ORange(V_r,T_b,T_a).
% 212.49/212.52 0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 212.49/212.52 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).
% 212.49/212.52 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)).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 212.49/212.52 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)).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.52 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)).
% 212.49/212.52 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).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 212.49/212.52 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 212.49/212.52 0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(V_s,T_a)| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.52 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)).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Wellfounded_Oacyclic(V_s,T_a).
% 212.49/212.52 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).
% 212.49/212.52 0 [] c_Relation_Osingle__valued(V_r,T_a,T_b)| -c_Relation_Osingle__valued(V_s,T_a,T_b)| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 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).
% 212.49/212.52 0 [] hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(c_in(V_a,V_A,T_a))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)).
% 212.49/212.52 0 [] -hBOOL(c_in(V_a,V_A,T_a))|hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)).
% 212.49/212.52 0 [] hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)).
% 212.49/212.52 0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a).
% 212.49/212.52 0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a).
% 212.49/212.52 0 [] c_Set_Oimage(V_f,V_A,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_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).
% 212.49/212.52 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.52 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)),T_a))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,V_A,T_a)).
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 212.49/212.52 0 [] c_lesse_quals(c_Relation_ODomain(V_r,T_a,T_b),c_Relation_ODomain(V_s,T_a,T_b),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_ORange(V_r,T_b,T_a)=c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b).
% 212.49/212.52 0 [] hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))| -hBOOL(c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)).
% 212.49/212.52 0 [] hBOOL(c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a))| -hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] c_Product__Type_OSigma(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] hBOOL(hAPP(V_A,hAPP(V_f,V_x)))| -hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)).
% 212.49/212.52 0 [] hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))| -hBOOL(hAPP(V_A,hAPP(V_f,V_x))).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Opartial__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a))| -hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a))| -hBOOL(c_Order__Relation_Opartial__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)).
% 212.49/212.52 0 [] hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(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)).
% 212.49/212.52 0 [] hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(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)).
% 212.49/212.52 0 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 212.49/212.52 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a).
% 212.49/212.52 0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_c,V_A,T_b)).
% 212.49/212.52 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)).
% 212.49/212.52 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(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 212.49/212.52 0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 212.49/212.52 0 [] c_Relation_ORange(V_r,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_r=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(c_Relation_OImage(V_r_H,V_A_H,T_a,T_b),c_Relation_OImage(V_r,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A_H,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 212.49/212.52 0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 212.49/212.52 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 212.49/212.52 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a)!=c_Orderings_Otop__class_Otop(T_a)|V_A=c_Orderings_Otop__class_Otop(T_a).
% 212.49/212.52 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a)!=c_Orderings_Otop__class_Otop(T_a)|V_B=c_Orderings_Otop__class_Otop(T_a).
% 212.49/212.52 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 212.49/212.52 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 212.49/212.52 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 212.49/212.52 0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 212.49/212.52 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_x=V_y.
% 212.49/212.52 0 [] hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hAPP(V_Inf,c_Orderings_Otop__class_Otop(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).
% 212.49/212.52 0 [] hAPP(V_Sup,c_Orderings_Otop__class_Otop(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).
% 212.49/212.52 0 [] c_HOL_Ominus__class_Ominus(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 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)).
% 212.49/212.52 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)).
% 212.49/212.52 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.
% 212.49/212.52 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)).
% 212.49/212.52 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)).
% 212.49/212.52 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).
% 212.49/212.52 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).
% 212.49/212.52 0 [] c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 212.49/212.52 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).
% 212.49/212.52 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).
% 212.49/212.52 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)).
% 212.49/212.52 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)).
% 212.49/212.52 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)).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Wellfounded_Omeasure(V_f,T_a),T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(V_p,T_a))| -c_lesse_quals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -hBOOL(c_Wellfounded_Owf(V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r_H,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -hBOOL(c_Wellfounded_Owf(V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_r_H,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -hBOOL(c_Wellfounded_Owf(V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(V_R,T_a))| -hBOOL(c_Wellfounded_Owf(c_Nat_Ocompow(V_n,V_R,tc_prod(T_a,T_a),tc_bool),T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_List_Omeasures(V_fs,T_a),T_a)).
% 212.49/212.52 0 [] hBOOL(hAPP(V_P,V_xb))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a)))| -hBOOL(c_Wellfounded_Owf(V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Wellfounded_Omlex__prod(V_f,V_R,T_a),T_a))| -hBOOL(c_Wellfounded_Owf(V_R,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a))| -hBOOL(c_Wellfounded_Owf(V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a)))| -hBOOL(c_Wellfounded_Owf(V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b))| -hBOOL(c_Wellfounded_Owf(V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(hAPP(V_P,V_Rb))| -hBOOL(hAPP(V_P,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a)))| -hBOOL(c_Wellfounded_Owf(V_R,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(V_R,T_a))| -hBOOL(c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a))| -hBOOL(c_Wellfounded_Owf(V_R,T_a)).
% 212.49/212.52 0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -hBOOL(c_Wellfounded_Owf(V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)).
% 212.49/212.52 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a)))| -hBOOL(c_Wellfounded_Owf(V_r,T_a)).
% 212.49/212.52 0 [] c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 212.49/212.52 0 [] c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Relation_ORange(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),c_Relation_ODomain(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] hBOOL(c_Relation_Otrans(c_Relation_OId(T_a),T_a)).
% 212.49/212.52 0 [] c_Relation_Oantisym(c_Relation_OId(T_a),T_a).
% 212.49/212.52 0 [] c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a)=c_Relation_OId(T_a).
% 212.49/212.52 0 [] c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a).
% 212.49/212.52 0 [] c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a)=V_A.
% 212.49/212.52 0 [] c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b)=V_R.
% 212.49/212.52 0 [] c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b)=V_R.
% 212.49/212.52 0 [] c_Relation_Osym(c_Relation_OId(T_a),T_a).
% 212.49/212.52 0 [] hBOOL(c_Relation_Otrans(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -c_Relation_Oantisym(V_r,T_a)| -hBOOL(c_Relation_Otrans(V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a))| -hBOOL(c_Order__Relation_Olinear__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Olinear__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a))| -hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a))| -hBOOL(c_Order__Relation_Owell__order__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))| -hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a))| -hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Relation_Otrans(V_r,T_a))| -hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),V_r)).
% 212.49/212.52 0 [] hBOOL(c_Relation_Oirrefl(V_r,T_a))| -hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),V_r)).
% 212.49/212.52 0 [] hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))| -hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),V_r)).
% 212.49/212.52 0 [] c_Order__Relation_Owell__order__on(v_A,v_r,t_a)=c_and(c_Order__Relation_Olinear__order__on(v_A,v_r,t_a),c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(v_r,c_Relation_OId(t_a),tc_fun(tc_prod(t_a,t_a),tc_bool)),t_a)).
% 212.49/212.52 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).
% 212.49/212.52 0 [] -class_Orderings_Otop(T_b)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x)=c_Orderings_Otop__class_Otop(T_b).
% 212.49/212.52 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 212.49/212.52 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Relation_OId(T_a),T_a).
% 212.49/212.52 0 [] c_Relation_ORange(c_Relation_OId(T_a),T_a,T_a)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Relation_ODomain(c_Relation_OId(T_a),T_a,T_a)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 212.49/212.52 0 [] c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 212.49/212.52 0 [] hBOOL(c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))| -hBOOL(c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)).
% 212.49/212.52 0 [] c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 212.49/212.52 0 [] hBOOL(c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)).
% 212.49/212.52 0 [] c_Arrow__Order__Mirabelle_OLin=c_Collect(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -hBOOL(c_Order__Relation_Owell__order__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Owell__order__on(V_A,V_r,T_a))| -hBOOL(c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))| -hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 212.49/212.52 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)).
% 212.49/212.52 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.
% 212.49/212.52 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.
% 212.49/212.52 0 [] hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))))| -hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)).
% 212.49/212.52 0 [] hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)).
% 212.49/212.52 0 [] hBOOL(c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(v_r,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt)).
% 212.49/212.52 0 [] -hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),V_x)).
% 212.49/212.52 0 [] class_Finite__Set_Ofinite_Ofinite(tc_prod(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 212.49/212.52 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 212.49/212.52 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 212.49/212.52 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 212.49/212.52 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 212.49/212.52 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 212.49/212.52 0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 212.49/212.52 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).
% 212.49/212.52 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 212.49/212.52 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 212.49/212.52 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 212.49/212.52 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 212.49/212.52 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 212.49/212.52 0 [] class_HOL_Ouminus(tc_fun(T_2,T_1))| -class_HOL_Ouminus(T_1).
% 212.49/212.52 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 212.49/212.52 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 212.49/212.52 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 212.49/212.52 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 212.49/212.52 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 212.49/212.52 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 212.49/212.52 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 212.49/212.52 0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 212.49/212.52 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 212.49/212.52 0 [] class_Orderings_Opreorder(tc_bool).
% 212.49/212.52 0 [] class_Lattices_Olattice(tc_bool).
% 212.49/212.52 0 [] class_Orderings_Oorder(tc_bool).
% 212.49/212.52 0 [] class_Orderings_Otop(tc_bool).
% 212.49/212.52 0 [] class_Orderings_Obot(tc_bool).
% 212.49/212.52 0 [] class_HOL_Ouminus(tc_bool).
% 212.49/212.52 0 [] class_HOL_Ominus(tc_bool).
% 212.49/212.52 0 [] class_HOL_Oord(tc_bool).
% 212.49/212.52 0 [] c_fe_qual(V_x,V_x,T_a).
% 212.49/212.52 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 212.49/212.52 end_of_list.
% 212.49/212.52
% 212.49/212.52 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 212.49/212.52
% 212.49/212.52 This ia a non-Horn set with equality. The strategy will be
% 212.49/212.52 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 212.49/212.52 deletion, with positive clauses in sos and nonpositive
% 212.49/212.52 clauses in usable.
% 212.49/212.52
% 212.49/212.52 dependent: set(knuth_bendix).
% 212.49/212.52 dependent: set(anl_eq).
% 212.49/212.52 dependent: set(para_from).
% 212.49/212.52 dependent: set(para_into).
% 212.49/212.52 dependent: clear(para_from_right).
% 212.49/212.52 dependent: clear(para_into_right).
% 212.49/212.52 dependent: set(para_from_vars).
% 212.49/212.52 dependent: set(eq_units_both_ways).
% 212.49/212.52 dependent: set(dynamic_demod_all).
% 212.49/212.52 dependent: set(dynamic_demod).
% 212.49/212.52 dependent: set(order_eq).
% 212.49/212.52 dependent: set(back_demod).
% 212.49/212.52 dependent: set(lrpo).
% 212.49/212.52 dependent: set(hyper_res).
% 212.49/212.52 dependent: set(unit_deletion).
% 212.49/212.52 dependent: set(factor).
% 212.49/212.52
% 212.49/212.52 ------------> process usable:
% 212.49/212.52 ** KEPT (pick-wt=14): 1 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B).
% 212.49/212.52 ** KEPT (pick-wt=14): 2 [] c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)| -c_Relation_Oantisym(A,B).
% 212.49/212.52 ** KEPT (pick-wt=29): 3 [] c_Product__Type_OSigma(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,C)!=c_Product__Type_OSigma(E,c_COMBK(B,tc_fun(C,tc_bool),D),D,C)| -hBOOL(c_in(F,B,C))|A=E.
% 212.49/212.52 ** KEPT (pick-wt=11): 4 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 212.49/212.52 ** KEPT (pick-wt=14): 5 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C)).
% 212.49/212.52 ** KEPT (pick-wt=11): 6 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_Orderings_Obot__class_Obot(A).
% 212.49/212.52 ** KEPT (pick-wt=11): 7 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_Orderings_Obot__class_Obot(A).
% 212.49/212.52 ** KEPT (pick-wt=10): 8 [] c_Relation_Osym(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Osym(A,C).
% 212.49/212.52 ** KEPT (pick-wt=16): 9 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oimage(B,C,D,A)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 212.49/212.52 ** KEPT (pick-wt=14): 10 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 212.49/212.52 ** KEPT (pick-wt=14): 11 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,B,A).
% 212.49/212.52 ** KEPT (pick-wt=20): 12 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))| -c_lesse_quals(C,A,tc_fun(B,tc_bool)).
% 212.49/212.52 ** KEPT (pick-wt=20): 13 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.52 Following clause subsumed by 12 during input processing: 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))| -c_lesse_quals(C,A,tc_fun(B,tc_bool)).
% 212.49/212.52 ** KEPT (pick-wt=19): 14 [] c_Set_Ovimage(A,c_Set_Oimage(A,B,C,D),C,D)=B| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 212.49/212.52 ** KEPT (pick-wt=7): 15 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 212.49/212.52 ** KEPT (pick-wt=11): 16 [] hBOOL(c_Relation_Otrans(A,B))| -hBOOL(c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B)).
% 212.49/212.52 ** KEPT (pick-wt=11): 17 [] hBOOL(c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B))| -hBOOL(c_Relation_Otrans(A,B)).
% 212.49/212.52 ** KEPT (pick-wt=23): 18 [] c_lesse_quals(c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B),A,tc_fun(tc_prod(B,B),tc_bool))| -hBOOL(c_Relation_Otrans(A,B))| -c_Relation_Osym(A,B).
% 212.49/212.52 ** KEPT (pick-wt=16): 19 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Osym(B,C)| -c_Relation_Osym(A,C).
% 212.49/212.52 ** KEPT (pick-wt=24): 20 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D)|B=E.
% 212.49/212.52 ** KEPT (pick-wt=25): 21 [] c_lesse_quals(A,hAPP(B,C),tc_fun(D,tc_bool))| -hBOOL(c_in(C,E,F))| -c_lesse_quals(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,B,F,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 212.49/212.52 ** KEPT (pick-wt=20): 22 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 212.49/212.52 ** KEPT (pick-wt=10): 23 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Obot__class_Obot(A),A)=c_Orderings_Obot__class_Obot(A).
% 212.49/212.52 ** KEPT (pick-wt=10): 24 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(A),B,A)=c_Orderings_Obot__class_Obot(A).
% 212.49/212.52 ** KEPT (pick-wt=23): 25 [] hBOOL(c_in(A,hAPP(B,C),D))| -hBOOL(c_in(C,E,F))| -hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,B,F,tc_fun(D,tc_bool)),D)).
% 212.49/212.52 Following clause subsumed by 25 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(D,hAPP(E,A),F))| -hBOOL(c_in(D,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,E,C,tc_fun(F,tc_bool)),F)).
% 212.49/212.52 Following clause subsumed by 25 during input processing: 0 [] hBOOL(c_in(A,hAPP(B,C),D))| -hBOOL(c_in(C,E,F))| -hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,B,F,tc_fun(D,tc_bool)),D)).
% 212.49/212.52 ** KEPT (pick-wt=12): 26 [] hBOOL(c_Relation_Otrans(c_Relation_Oinv__image(A,B,C,D),D))| -hBOOL(c_Relation_Otrans(A,C)).
% 212.49/212.52 ** KEPT (pick-wt=33): 27 [] c_Set_Oimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E).
% 212.49/212.52 ** KEPT (pick-wt=11): 28 [] -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).
% 212.49/212.52 ** KEPT (pick-wt=14): 29 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 212.49/212.52 Following clause subsumed by 29 during input processing: 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 212.49/212.52 ** KEPT (pick-wt=29): 30 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))|c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 212.49/212.52 ** KEPT (pick-wt=29): 31 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 212.49/212.52 ** KEPT (pick-wt=19): 32 [] c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,C,tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(hAPP(B,E),D)| -hBOOL(c_in(E,A,C)).
% 212.49/212.52 ** KEPT (pick-wt=24): 33 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E).
% 212.49/212.52 ** KEPT (pick-wt=24): 34 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E).
% 212.49/212.52 ** KEPT (pick-wt=37): 35 [] c_lesse_quals(c_Product__Type_OSigma(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,C),c_Product__Type_OSigma(E,c_COMBK(B,tc_fun(C,tc_bool),D),D,C),tc_fun(tc_prod(D,C),tc_bool))| -c_lesse_quals(A,E,tc_fun(D,tc_bool))| -hBOOL(c_in(F,B,C)).
% 212.49/212.52 ** KEPT (pick-wt=37): 36 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Product__Type_OSigma(A,c_COMBK(D,tc_fun(E,tc_bool),C),C,E),c_Product__Type_OSigma(B,c_COMBK(D,tc_fun(E,tc_bool),C),C,E),tc_fun(tc_prod(C,E),tc_bool))| -hBOOL(c_in(F,D,E)).
% 212.49/212.52 ** KEPT (pick-wt=28): 37 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 212.49/212.52 ** KEPT (pick-wt=28): 38 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E).
% 212.49/212.52 ** KEPT (pick-wt=42): 39 [] c_Set_Oimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_lesse_quals(C,F,tc_fun(D,tc_bool))| -c_lesse_quals(B,F,tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,F,D,E).
% 212.49/212.52 ** KEPT (pick-wt=16): 40 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,c_Set_Oimage(C,D,E,B),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(D,E).
% 212.49/212.52 ** KEPT (pick-wt=22): 41 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 212.49/212.52 ** KEPT (pick-wt=40): 42 [] c_lesse_quals(c_Transitive__Closure_Otrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool)),A,B,B,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 212.49/212.52 ** KEPT (pick-wt=19): 43 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool))=A.
% 212.49/212.52 ** KEPT (pick-wt=19): 44 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 212.49/212.52 ** KEPT (pick-wt=20): 46 [copy,45,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=20): 48 [copy,47,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 212.49/212.53 ** KEPT (pick-wt=16): 49 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Lattices_Olower__semilattice__class_Oinf(C,c_Collect(A,D),tc_fun(D,tc_bool)),D)).
% 212.49/212.53 ** KEPT (pick-wt=18): 50 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=15): 51 [] hBOOL(c_Order__Relation_Olinear__order__on(A,B,C))| -hBOOL(c_Relation_Ototal__on(A,B,C))| -hBOOL(c_Order__Relation_Opartial__order__on(A,B,C)).
% 212.49/212.53 ** KEPT (pick-wt=18): 52 [] c_Finite__Set_Ofinite(c_Set_Ovimage(A,B,C,D),C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)| -c_Finite__Set_Ofinite(B,D).
% 212.49/212.53 ** KEPT (pick-wt=21): 53 [] c_lesse_quals(A,c_Product__Type_OSigma(B,c_COMBK(B,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool))| -c_Relation_Orefl__on(B,A,C).
% 212.49/212.53 ** KEPT (pick-wt=8): 54 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 212.49/212.53 ** KEPT (pick-wt=34): 55 [] c_lesse_quals(c_Relation_Orel__comp(A,B,C,D,E),c_Relation_Orel__comp(F,G,C,D,E),tc_fun(tc_prod(C,E),tc_bool))| -c_lesse_quals(B,G,tc_fun(tc_prod(D,E),tc_bool))| -c_lesse_quals(A,F,tc_fun(tc_prod(C,D),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=31): 56 [] c_lesse_quals(c_Relation_OImage(A,B,C,D),E,tc_fun(D,tc_bool))| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(c_Relation_OImage(c_Relation_Oconverse(A,C,D),c_HOL_Ouminus__class_Ouminus(E,tc_fun(D,tc_bool)),D,C),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=31): 57 [] c_lesse_quals(A,c_HOL_Ouminus__class_Ouminus(c_Relation_OImage(c_Relation_Oconverse(B,C,D),c_HOL_Ouminus__class_Ouminus(E,tc_fun(D,tc_bool)),D,C),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(c_Relation_OImage(B,A,C,D),E,tc_fun(D,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=9): 58 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 212.49/212.53 ** KEPT (pick-wt=9): 59 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 212.49/212.53 ** KEPT (pick-wt=9): 60 [] c_Relation_Oconverse(A,B,B)!=A|c_Relation_Osym(A,B).
% 212.49/212.53 ** KEPT (pick-wt=9): 61 [] c_Relation_Oconverse(A,B,B)=A| -c_Relation_Osym(A,B).
% 212.49/212.53 ** KEPT (pick-wt=49): 62 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,B,tc_fun(D,tc_bool)),D,E),tc_fun(E,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,C,D,E)| -c_Fun_Oinj__on(A,B,D,E)|c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E).
% 212.49/212.53 ** KEPT (pick-wt=39): 63 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,B,tc_fun(D,tc_bool)),D,E),tc_fun(E,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E).
% 212.49/212.53 ** KEPT (pick-wt=27): 64 [] c_lesse_quals(c_Relation_OImage(A,B,C,D),E,tc_fun(D,tc_bool))| -c_lesse_quals(A,c_Product__Type_OSigma(F,c_COMBK(E,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=13): 66 [copy,65,flip.2] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 212.49/212.53 ** KEPT (pick-wt=17): 67 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=17): 68 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=17): 69 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=17): 70 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=15): 71 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),C)).
% 212.49/212.53 ** KEPT (pick-wt=15): 72 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),C)).
% 212.49/212.53 ** KEPT (pick-wt=25): 73 [] 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).
% 212.49/212.53 Following clause subsumed by 73 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.
% 212.49/212.53 Following clause subsumed by 73 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.
% 212.49/212.53 Following clause subsumed by 73 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)).
% 212.49/212.53 ** KEPT (pick-wt=14): 74 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=14): 75 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=12): 76 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 212.49/212.53 ** KEPT (pick-wt=12): 77 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 212.49/212.53 ** KEPT (pick-wt=12): 78 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 212.49/212.53 ** KEPT (pick-wt=23): 79 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 212.49/212.53 Following clause subsumed by 79 during input processing: 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=17): 80 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 212.49/212.53 ** KEPT (pick-wt=9): 81 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 212.49/212.53 ** KEPT (pick-wt=9): 82 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 212.49/212.53 Following clause subsumed by 80 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 212.49/212.53 Following clause subsumed by 80 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 212.49/212.53 ** KEPT (pick-wt=9): 83 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 212.49/212.53 ** KEPT (pick-wt=9): 84 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 212.49/212.53 ** KEPT (pick-wt=11): 85 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 212.49/212.53 ** KEPT (pick-wt=11): 86 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 212.49/212.53 ** KEPT (pick-wt=19): 87 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=8): 88 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Relation_Osym(A,B).
% 212.49/212.53 ** KEPT (pick-wt=21): 89 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A),A).
% 212.49/212.53 ** KEPT (pick-wt=25): 90 [] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(C,B)| -c_lesse_quals(A,c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(C,A,tc_fun(tc_prod(B,B),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=21): 91 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Otop__class_Otop(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Obot__class_Obot(A)|c_HOL_Ouminus__class_Ouminus(B,A)=C.
% 212.49/212.53 ** KEPT (pick-wt=12): 92 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 212.49/212.53 ** KEPT (pick-wt=11): 93 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_Orderings_Otop__class_Otop(A).
% 212.49/212.53 ** KEPT (pick-wt=11): 94 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_Orderings_Otop__class_Otop(A).
% 212.49/212.53 ** KEPT (pick-wt=11): 95 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 212.49/212.53 ** KEPT (pick-wt=11): 96 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 212.49/212.53 ** KEPT (pick-wt=11): 97 [] c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Relation_Orefl__on(A,B,C).
% 212.49/212.53 ** KEPT (pick-wt=11): 98 [] c_Relation_Orefl__on(A,B,C)| -c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C).
% 212.49/212.53 ** KEPT (pick-wt=16): 99 [] hBOOL(c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(A,B),B,B),B))| -hBOOL(c_Wellfounded_Owf(c_Relation_Oconverse(A,B,B),B)).
% 212.49/212.53 ** KEPT (pick-wt=56): 100 [] c_lesse_quals(c_Relation_Orel__comp(A,B,C,D,E),c_Product__Type_OSigma(F,c_COMBK(G,tc_fun(E,tc_bool),C),C,E),tc_fun(tc_prod(C,E),tc_bool))| -c_lesse_quals(B,c_Product__Type_OSigma(H,c_COMBK(G,tc_fun(E,tc_bool),D),D,E),tc_fun(tc_prod(D,E),tc_bool))| -c_lesse_quals(A,c_Product__Type_OSigma(F,c_COMBK(H,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=32): 101 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C))| -c_lesse_quals(c_Relation_Orel__comp(A,B,C,C,C),A,tc_fun(tc_prod(C,C),tc_bool))| -hBOOL(c_Wellfounded_Owf(B,C))| -hBOOL(c_Wellfounded_Owf(A,C)).
% 212.49/212.53 ** KEPT (pick-wt=16): 102 [] hBOOL(c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B))| -hBOOL(c_Relation_Otrans(A,B)).
% 212.49/212.53 ** KEPT (pick-wt=17): 103 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 212.49/212.53 ** KEPT (pick-wt=13): 104 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 212.49/212.53 ** KEPT (pick-wt=13): 105 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 212.49/212.53 ** KEPT (pick-wt=36): 106 [] c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(A,B,B),c_Relation_ORange(C,B,B),tc_fun(B,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(c_Wellfounded_Owf(C,B))| -hBOOL(c_Wellfounded_Owf(A,B))|hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B)).
% 212.49/212.53 ** KEPT (pick-wt=25): 107 [] c_Set_Oimage(A,B,C,C)=B| -c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(c_Set_Oimage(A,B,C,C),B,tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 212.49/212.53 ** KEPT (pick-wt=20): 108 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C)).
% 212.49/212.53 ** KEPT (pick-wt=17): 109 [] c_lesse_quals(c_Relation_Orel__comp(A,A,B,B,B),A,tc_fun(tc_prod(B,B),tc_bool))| -hBOOL(c_Relation_Otrans(A,B)).
% 212.49/212.53 ** KEPT (pick-wt=17): 110 [] c_Relation_Osingle__valued(c_Relation_Orel__comp(A,B,C,D,E),C,E)| -c_Relation_Osingle__valued(B,D,E)| -c_Relation_Osingle__valued(A,C,D).
% 212.49/212.53 ** KEPT (pick-wt=8): 111 [] c_Relation_Oantisym(A,B)| -hBOOL(c_Order__Relation_Opartial__order__on(C,A,B)).
% 212.49/212.53 ** KEPT (pick-wt=24): 112 [] c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Orefl__on(B,E,C)| -c_Relation_Orefl__on(A,D,C).
% 212.49/212.53 ** KEPT (pick-wt=17): 113 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=17): 114 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=17): 115 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=17): 116 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=11): 117 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 212.49/212.53 ** KEPT (pick-wt=11): 118 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 212.49/212.53 ** KEPT (pick-wt=17): 119 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,C,D,A),hAPP(C,E),A)| -hBOOL(c_in(E,B,D)).
% 212.49/212.53 ** KEPT (pick-wt=19): 120 [] c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,C,tc_fun(D,tc_bool)),hAPP(B,E),tc_fun(D,tc_bool))| -hBOOL(c_in(E,A,C)).
% 212.49/212.53 ** KEPT (pick-wt=9): 121 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 212.49/212.53 ** KEPT (pick-wt=9): 122 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 212.49/212.53 ** KEPT (pick-wt=22): 123 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)|B=E.
% 212.49/212.53 ** KEPT (pick-wt=25): 124 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))| -hBOOL(c_in(E,B,D)).
% 212.49/212.53 ** KEPT (pick-wt=20): 125 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Relation_OImage(C,A,B,B),tc_fun(B,tc_bool))| -hBOOL(c_Wellfounded_Owf(C,B)).
% 212.49/212.53 ** KEPT (pick-wt=9): 126 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(c_Relation_Oconverse(A,B,B),B).
% 212.49/212.53 ** KEPT (pick-wt=9): 127 [] c_Relation_Oantisym(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Oantisym(A,B).
% 212.49/212.53 ** KEPT (pick-wt=9): 128 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Obot__class_Obot(A).
% 212.49/212.53 ** KEPT (pick-wt=7): 129 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 212.49/212.53 ** KEPT (pick-wt=21): 130 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))|c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=19): 131 [] hBOOL(c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C))| -hBOOL(c_Relation_Otrans(B,C))| -hBOOL(c_Relation_Otrans(A,C)).
% 212.49/212.53 ** KEPT (pick-wt=21): 132 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),A).
% 212.49/212.53 ** KEPT (pick-wt=8): 133 [] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Wellfounded_Oacyclic(A,B).
% 212.49/212.53 ** KEPT (pick-wt=11): 134 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 212.49/212.53 ** KEPT (pick-wt=46): 135 [] c_Relation_Orel__comp(A,B,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(D,B,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(tc_prod(C,C),tc_bool)),B,C,C,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=46): 136 [] c_Relation_Orel__comp(A,B,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(A,D,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(tc_prod(C,C),tc_bool)),C,C,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=12): 137 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 212.49/212.53 ** KEPT (pick-wt=12): 138 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 212.49/212.53 ** KEPT (pick-wt=14): 139 [] c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool))!=c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool))|A=C.
% 212.49/212.53 ** KEPT (pick-wt=12): 140 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 212.49/212.53 ** KEPT (pick-wt=9): 141 [] c_Wellfounded_Oacyclic(A,B)| -c_Wellfounded_Oacyclic(c_Relation_Oconverse(A,B,B),B).
% 212.49/212.53 ** KEPT (pick-wt=9): 142 [] c_Wellfounded_Oacyclic(c_Relation_Oconverse(A,B,B),B)| -c_Wellfounded_Oacyclic(A,B).
% 212.49/212.53 ** KEPT (pick-wt=15): 143 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 212.49/212.53 Following clause subsumed by 143 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)).
% 212.49/212.53 ** KEPT (pick-wt=13): 144 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 212.49/212.53 Following clause subsumed by 144 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 212.49/212.53 Following clause subsumed by 144 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 212.49/212.53 ** KEPT (pick-wt=11): 145 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 212.49/212.53 ** KEPT (pick-wt=12): 146 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 212.49/212.53 ** KEPT (pick-wt=12): 147 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 212.49/212.53 ** KEPT (pick-wt=12): 148 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 212.49/212.53 ** KEPT (pick-wt=14): 149 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=14): 150 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=14): 151 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=24): 152 [] c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,E,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Orefl__on(B,E,C)| -c_Relation_Orefl__on(A,D,C).
% 212.49/212.53 ** KEPT (pick-wt=10): 153 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 212.49/212.53 ** KEPT (pick-wt=36): 154 [] c_lesse_quals(c_Transitive__Closure_Otrancl(A,B),c_Product__Type_OSigma(C,c_COMBK(C,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,c_Product__Type_OSigma(C,c_COMBK(C,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=22): 155 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=16): 156 [] c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A)| -c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool)),A)| -c_Finite__Set_Ofinite(B,A).
% 212.49/212.53 ** KEPT (pick-wt=16): 157 [] c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(A,B).
% 212.49/212.53 ** KEPT (pick-wt=15): 158 [] 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)).
% 212.49/212.53 ** KEPT (pick-wt=15): 159 [] -class_HOL_Ouminus(t_b)|hAPP(c_HOL_Ouminus__class_Ouminus(v_A,tc_fun(t_a,t_b)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(v_A,v_x),t_b).
% 212.49/212.53 ** KEPT (pick-wt=8): 160 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 212.49/212.53 Following clause subsumed by 160 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 212.49/212.53 Following clause subsumed by 160 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 212.49/212.53 Following clause subsumed by 160 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 212.49/212.53 ** KEPT (pick-wt=28): 161 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=9): 162 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 212.49/212.53 ** KEPT (pick-wt=9): 163 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 212.49/212.53 ** KEPT (pick-wt=17): 164 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 212.49/212.53 Following clause subsumed by 164 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 212.49/212.53 Following clause subsumed by 164 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 212.49/212.53 ** KEPT (pick-wt=9): 165 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 212.49/212.53 ** KEPT (pick-wt=9): 166 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 212.49/212.53 ** KEPT (pick-wt=20): 167 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(D,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=17): 168 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=17): 169 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=13): 170 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 212.49/212.53 ** KEPT (pick-wt=13): 171 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 212.49/212.53 ** KEPT (pick-wt=14): 172 [] c_Relation_Osingle__valued(c_Nat_Ocompow(A,B,tc_prod(C,C),tc_bool),C,C)| -c_Relation_Osingle__valued(B,C,C).
% 212.49/212.53 ** KEPT (pick-wt=17): 173 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=17): 174 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=13): 175 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 212.49/212.53 ** KEPT (pick-wt=13): 176 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 212.49/212.53 ** KEPT (pick-wt=13): 177 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 212.49/212.53 ** KEPT (pick-wt=13): 178 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 212.49/212.53 Following clause subsumed by 175 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 212.49/212.53 Following clause subsumed by 176 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 212.49/212.53 ** KEPT (pick-wt=16): 179 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 212.49/212.53 Following clause subsumed by 179 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 212.49/212.53 Following clause subsumed by 179 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 212.49/212.53 ** KEPT (pick-wt=16): 180 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 212.49/212.53 Following clause subsumed by 180 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 212.49/212.53 ** KEPT (pick-wt=25): 181 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool))| -hBOOL(c_in(E,A,C)).
% 212.49/212.53 ** KEPT (pick-wt=23): 182 [] 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).
% 212.49/212.53 ** KEPT (pick-wt=23): 183 [] 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).
% 212.49/212.53 ** KEPT (pick-wt=17): 185 [copy,184,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 212.49/212.53 ** KEPT (pick-wt=11): 186 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 212.49/212.53 ** KEPT (pick-wt=11): 187 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 212.49/212.53 ** KEPT (pick-wt=17): 188 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 212.49/212.53 ** KEPT (pick-wt=17): 189 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 212.49/212.53 ** KEPT (pick-wt=14): 190 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 212.49/212.53 ** KEPT (pick-wt=14): 191 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 212.49/212.53 ** KEPT (pick-wt=17): 192 [] c_Relation_ODomain(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=17): 193 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 212.49/212.53 ** KEPT (pick-wt=17): 194 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 212.49/212.53 ** KEPT (pick-wt=9): 195 [] c_Relation_Osym(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Osym(A,B).
% 212.49/212.53 ** KEPT (pick-wt=9): 196 [] c_Relation_Osym(A,B)| -c_Relation_Osym(c_Relation_Oconverse(A,B,B),B).
% 212.49/212.53 ** KEPT (pick-wt=5): 197 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 212.49/212.53 Following clause subsumed by 72 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,c_Collect(D,C),tc_fun(C,tc_bool)),C)).
% 212.49/212.53 ** KEPT (pick-wt=17): 198 [] c_Relation_Orel__comp(A,A,B,B,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool))|hBOOL(c_Wellfounded_Owf(A,B)).
% 212.49/212.53 ** KEPT (pick-wt=13): 199 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 212.49/212.53 ** KEPT (pick-wt=13): 200 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 212.49/212.53 ** KEPT (pick-wt=41): 201 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool)),A,B,B,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_OId(B),C,tc_fun(tc_prod(B,B),tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=18): 202 [] c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(B,c_Set_Oimage(A,B,C,C),tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 212.49/212.53 ** KEPT (pick-wt=15): 203 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(C,tc_bool)),C,D).
% 212.49/212.53 ** KEPT (pick-wt=15): 204 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 212.49/212.53 ** KEPT (pick-wt=21): 205 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=21): 206 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_lesse_quals(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=39): 207 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C))| -hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,A,C,C,C),c_Relation_Orel__comp(B,A,C,C,C),tc_fun(tc_prod(C,C),tc_bool)),B,tc_fun(tc_prod(C,C),tc_bool)),C)).
% 212.49/212.53 ** KEPT (pick-wt=39): 208 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,A,B,B,B),c_Relation_Orel__comp(C,A,B,B,B),tc_fun(tc_prod(B,B),tc_bool)),C,tc_fun(tc_prod(B,B),tc_bool)),B))| -hBOOL(c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B)).
% 212.49/212.53 ** KEPT (pick-wt=16): 209 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Osym(B,C)| -c_Relation_Osym(A,C).
% 212.49/212.53 ** KEPT (pick-wt=28): 210 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),E,tc_fun(C,tc_bool))| -c_lesse_quals(B,c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 212.49/212.53 ** KEPT (pick-wt=9): 211 [] c_Transitive__Closure_Otrancl(A,B)=A| -hBOOL(c_Relation_Otrans(A,B)).
% 212.49/212.53 ** KEPT (pick-wt=8): 212 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(A,B),B)| -c_Relation_Osym(A,B).
% 212.49/212.53 ** KEPT (pick-wt=20): 213 [] c_lesse_quals(A,c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B),tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Orefl__on(C,A,B).
% 212.49/212.53 ** KEPT (pick-wt=16): 214 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 212.49/212.53 Following clause subsumed by 214 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 212.49/212.53 Following clause subsumed by 214 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 212.49/212.53 Following clause subsumed by 214 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 212.49/212.53 ** KEPT (pick-wt=22): 215 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=22): 216 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 212.49/212.53 ** KEPT (pick-wt=9): 217 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 212.49/212.53 ** KEPT (pick-wt=9): 218 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 212.49/212.53 Following clause subsumed by 217 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 212.49/212.53 Following clause subsumed by 217 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 212.49/212.53 Following clause subsumed by 217 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 212.49/212.53 ** KEPT (pick-wt=11): 219 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C).
% 212.49/212.53 ** KEPT (pick-wt=11): 220 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 212.49/212.53 ** KEPT (pick-wt=16): 221 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 212.49/212.53 ** KEPT (pick-wt=14): 222 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 212.49/212.53 Following clause subsumed by 222 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 212.49/212.53 ** KEPT (pick-wt=14): 223 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 212.49/212.53 Following clause subsumed by 223 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 212.49/212.53 ** KEPT (pick-wt=19): 224 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 212.49/212.53 ** KEPT (pick-wt=19): 225 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 212.49/212.53 ** KEPT (pick-wt=13): 226 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(C,B,A).
% 212.49/212.53 ** KEPT (pick-wt=7): 227 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 212.49/212.53 ** KEPT (pick-wt=9): 228 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(A),B,A)=B.
% 212.49/212.54 ** KEPT (pick-wt=9): 229 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Otop__class_Otop(A),A)=B.
% 212.49/212.54 ** KEPT (pick-wt=23): 230 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 212.49/212.54 Following clause subsumed by 230 during input processing: 0 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=15): 231 [] -class_HOL_Ouminus(A)|hAPP(c_HOL_Ouminus__class_Ouminus(B,tc_fun(t_a,A)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(B,v_x),A).
% 212.49/212.54 ** KEPT (pick-wt=20): 232 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 212.49/212.54 ** KEPT (pick-wt=20): 233 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 212.49/212.54 ** KEPT (pick-wt=12): 234 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 212.49/212.54 ** KEPT (pick-wt=9): 236 [copy,235,flip.2] -class_Lattices_Oboolean__algebra(A)|c_Orderings_Otop__class_Otop(A)=c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(A),A).
% 212.49/212.54 ** KEPT (pick-wt=14): 237 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 212.49/212.54 ** KEPT (pick-wt=14): 238 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 212.49/212.54 ** KEPT (pick-wt=32): 239 [] c_Relation_OImage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool))| -c_Relation_Osingle__valued(c_Relation_Oconverse(A,D,E),E,D).
% 212.49/212.54 ** KEPT (pick-wt=18): 240 [] 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).
% 212.49/212.54 ** KEPT (pick-wt=18): 241 [] 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).
% 212.49/212.54 ** KEPT (pick-wt=15): 242 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 212.49/212.54 ** KEPT (pick-wt=15): 243 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 212.49/212.54 ** KEPT (pick-wt=19): 244 [] hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(A,B),C))| -hBOOL(c_Relation_Ototal__on(A,C,B))| -hBOOL(c_Relation_Oirrefl(C,B))| -hBOOL(c_Relation_Otrans(C,B)).
% 212.49/212.54 ** KEPT (pick-wt=8): 245 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 212.49/212.54 ** KEPT (pick-wt=13): 246 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 212.49/212.54 ** KEPT (pick-wt=13): 247 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 212.49/212.54 ** KEPT (pick-wt=13): 248 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 212.49/212.54 ** KEPT (pick-wt=13): 249 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 212.49/212.54 Following clause subsumed by 246 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 212.49/212.54 Following clause subsumed by 247 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 212.49/212.54 ** KEPT (pick-wt=17): 250 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=17): 251 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=19): 252 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(B,v_x),hAPP(C,v_x),A).
% 212.49/212.54 ** KEPT (pick-wt=14): 253 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 212.49/212.54 ** KEPT (pick-wt=16): 254 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 212.49/212.54 Following clause subsumed by 254 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)).
% 212.49/212.54 Following clause subsumed by 254 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)).
% 212.49/212.54 Following clause subsumed by 254 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)).
% 212.49/212.54 ** KEPT (pick-wt=18): 255 [] 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)).
% 212.49/212.54 ** KEPT (pick-wt=16): 256 [] 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).
% 212.49/212.54 ** KEPT (pick-wt=14): 257 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=6): 258 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 212.49/212.54 ** KEPT (pick-wt=6): 259 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 212.49/212.54 ** KEPT (pick-wt=14): 260 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(C,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=12): 261 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 212.49/212.54 Following clause subsumed by 257 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 212.49/212.54 ** KEPT (pick-wt=14): 262 [] c_Wellfounded_Oacyclic(A,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool))| -c_Wellfounded_Oacyclic(C,B).
% 212.49/212.54 Following clause subsumed by 261 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).
% 212.49/212.54 ** KEPT (pick-wt=16): 263 [] c_Relation_Osingle__valued(A,B,C)| -c_Relation_Osingle__valued(D,B,C)| -c_lesse_quals(A,D,tc_fun(tc_prod(B,C),tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=14): 264 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 212.49/212.54 ** KEPT (pick-wt=21): 265 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(B,D,E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,A,E,tc_fun(F,tc_bool)),C)).
% 212.49/212.54 Following clause subsumed by 265 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(hAPP(hAPP(D,A),E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,D,C,tc_fun(F,tc_bool)),E)).
% 212.49/212.54 Following clause subsumed by 265 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(c_in(B,D,E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,A,E,tc_fun(F,tc_bool)),C)).
% 212.49/212.54 ** KEPT (pick-wt=16): 266 [] c_Set_Oimage(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=28): 267 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=42): 268 [] c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_lesse_quals(C,F,tc_fun(D,tc_bool))| -c_lesse_quals(B,F,tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,F,D,E).
% 212.49/212.54 ** KEPT (pick-wt=30): 269 [] c_lesse_quals(c_Set_Oimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C,D),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(A,B,C,D),tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 212.49/212.54 ** KEPT (pick-wt=16): 270 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=21): 271 [] hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,c_Collect(C,D),tc_fun(D,tc_bool)),D))| -hBOOL(hAPP(C,A))| -hBOOL(c_in(A,B,D)).
% 212.49/212.54 ** KEPT (pick-wt=27): 272 [] c_Lattices_Olower__semilattice__class_Oinf(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,D,tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 212.49/212.54 ** KEPT (pick-wt=20): 273 [] c_lesse_quals(c_Relation_ODomain(A,B,C),c_Relation_ODomain(D,B,C),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(tc_prod(B,C),tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=13): 274 [] hBOOL(c_Relation_Ototal__on(A,B,C))| -hBOOL(c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C)).
% 212.49/212.54 ** KEPT (pick-wt=13): 275 [] hBOOL(c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C))| -hBOOL(c_Relation_Ototal__on(A,B,C)).
% 212.49/212.54 ** KEPT (pick-wt=14): 276 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 212.49/212.54 ** KEPT (pick-wt=14): 277 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 212.49/212.54 ** KEPT (pick-wt=13): 278 [] hBOOL(c_Order__Relation_Opartial__order__on(A,c_Relation_Oconverse(B,C,C),C))| -hBOOL(c_Order__Relation_Opartial__order__on(A,B,C)).
% 212.49/212.54 ** KEPT (pick-wt=13): 279 [] hBOOL(c_Order__Relation_Opartial__order__on(A,B,C))| -hBOOL(c_Order__Relation_Opartial__order__on(A,c_Relation_Oconverse(B,C,C),C)).
% 212.49/212.54 ** KEPT (pick-wt=20): 280 [] hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 212.49/212.54 Following clause subsumed by 280 during input processing: 0 [] hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 212.49/212.54 ** KEPT (pick-wt=17): 281 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 212.49/212.54 ** KEPT (pick-wt=17): 283 [copy,282,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 212.49/212.54 ** KEPT (pick-wt=18): 284 [] c_Set_Ovimage(c_COMBK(A,B,C),D,C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,B)).
% 212.49/212.54 ** KEPT (pick-wt=20): 285 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 212.49/212.54 Following clause subsumed by 285 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=15): 286 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(C,A,B,D)| -c_Finite__Set_Ofinite(c_Set_Oimage(C,A,B,D),D).
% 212.49/212.54 ** KEPT (pick-wt=17): 287 [] c_Relation_ORange(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=28): 288 [] c_lesse_quals(c_Relation_OImage(A,B,C,D),c_Relation_OImage(E,F,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,F,tc_fun(C,tc_bool))| -c_lesse_quals(A,E,tc_fun(tc_prod(C,D),tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=13): 289 [] -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)).
% 212.49/212.54 ** KEPT (pick-wt=10): 290 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 212.49/212.54 ** KEPT (pick-wt=13): 291 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Otop__class_Otop(A)|B=c_Orderings_Otop__class_Otop(A).
% 212.49/212.54 ** KEPT (pick-wt=13): 292 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Otop__class_Otop(A)|C=c_Orderings_Otop__class_Otop(A).
% 212.49/212.54 ** KEPT (pick-wt=10): 293 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(A),B,A)=c_Orderings_Otop__class_Otop(A).
% 212.49/212.54 ** KEPT (pick-wt=10): 294 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Otop__class_Otop(A).
% 212.49/212.54 Following clause subsumed by 197 during input processing: 0 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A).
% 212.49/212.54 ** KEPT (pick-wt=9): 295 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 212.49/212.54 ** KEPT (pick-wt=18): 296 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E)|B=C.
% 212.49/212.54 ** KEPT (pick-wt=18): 297 [] hAPP(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,C,I,B).
% 212.49/212.54 ** KEPT (pick-wt=18): 298 [] hAPP(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,C,B).
% 212.49/212.54 ** KEPT (pick-wt=33): 299 [] c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E).
% 212.49/212.54 ** KEPT (pick-wt=25): 300 [] 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)).
% 212.49/212.54 ** KEPT (pick-wt=28): 301 [] 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)).
% 212.49/212.54 ** KEPT (pick-wt=15): 302 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 212.49/212.54 ** KEPT (pick-wt=15): 303 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 212.49/212.54 ** KEPT (pick-wt=14): 304 [] 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).
% 212.49/212.54 ** KEPT (pick-wt=14): 305 [] 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).
% 212.49/212.54 ** KEPT (pick-wt=15): 306 [] 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).
% 212.49/212.54 ** KEPT (pick-wt=11): 307 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 212.49/212.54 ** KEPT (pick-wt=20): 308 [] 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)).
% 212.49/212.54 Following clause subsumed by 308 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)).
% 212.49/212.54 ** KEPT (pick-wt=16): 309 [] hBOOL(c_Wellfounded_Owf(A,B))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool))| -hBOOL(c_Wellfounded_Owf(C,B)).
% 212.49/212.54 ** KEPT (pick-wt=15): 310 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C))| -hBOOL(c_Wellfounded_Owf(B,C)).
% 212.49/212.54 ** KEPT (pick-wt=15): 311 [] hBOOL(c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C))| -hBOOL(c_Wellfounded_Owf(A,C)).
% 212.49/212.54 ** KEPT (pick-wt=14): 312 [] hBOOL(c_Wellfounded_Owf(A,B))| -hBOOL(c_Wellfounded_Owf(c_Nat_Ocompow(C,A,tc_prod(B,B),tc_bool),B)).
% 212.49/212.54 ** KEPT (pick-wt=15): 313 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(A,C,D)))| -hBOOL(c_Wellfounded_Owf(C,D)).
% 212.49/212.54 ** KEPT (pick-wt=11): 314 [] hBOOL(c_Wellfounded_Owf(c_Wellfounded_Omlex__prod(A,B,C),C))| -hBOOL(c_Wellfounded_Owf(B,C)).
% 212.49/212.54 ** KEPT (pick-wt=10): 315 [] hBOOL(c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(A,B),B))| -hBOOL(c_Wellfounded_Owf(A,B)).
% 212.49/212.54 ** KEPT (pick-wt=15): 316 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(A,C,D)))| -hBOOL(c_Wellfounded_Owf(C,D)).
% 212.49/212.54 ** KEPT (pick-wt=12): 317 [] hBOOL(c_Wellfounded_Owf(c_Relation_Oinv__image(A,B,C,D),D))| -hBOOL(c_Wellfounded_Owf(A,C)).
% 212.49/212.54 ** KEPT (pick-wt=15): 318 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(A,C,D)))| -hBOOL(c_Wellfounded_Owf(C,D)).
% 212.49/212.54 ** KEPT (pick-wt=13): 319 [] hBOOL(c_Wellfounded_Owf(A,B))| -hBOOL(c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B)).
% 212.49/212.54 ** KEPT (pick-wt=13): 320 [] hBOOL(c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B))| -hBOOL(c_Wellfounded_Owf(A,B)).
% 212.49/212.54 ** KEPT (pick-wt=7): 321 [] c_Wellfounded_Oacyclic(A,B)| -hBOOL(c_Wellfounded_Owf(A,B)).
% 212.49/212.54 ** KEPT (pick-wt=15): 322 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(A,C,D)))| -hBOOL(c_Wellfounded_Owf(C,D)).
% 212.49/212.54 ** KEPT (pick-wt=19): 323 [] hBOOL(c_Relation_Otrans(c_HOL_Ominus__class_Ominus(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B))| -c_Relation_Oantisym(A,B)| -hBOOL(c_Relation_Otrans(A,B)).
% 212.49/212.54 ** KEPT (pick-wt=13): 324 [] hBOOL(c_Order__Relation_Olinear__order__on(A,B,C))| -hBOOL(c_Order__Relation_Olinear__order__on(A,c_Relation_Oconverse(B,C,C),C)).
% 212.49/212.54 ** KEPT (pick-wt=13): 325 [] hBOOL(c_Order__Relation_Olinear__order__on(A,c_Relation_Oconverse(B,C,C),C))| -hBOOL(c_Order__Relation_Olinear__order__on(A,B,C)).
% 212.49/212.54 ** KEPT (pick-wt=10): 326 [] hBOOL(c_Order__Relation_Olinear__order__on(A,B,C))| -hBOOL(c_Order__Relation_Owell__order__on(A,B,C)).
% 212.49/212.54 ** KEPT (pick-wt=10): 327 [] hBOOL(c_Relation_Ototal__on(A,B,C))| -hBOOL(c_Order__Relation_Olinear__order__on(A,B,C)).
% 212.49/212.54 ** KEPT (pick-wt=10): 328 [] hBOOL(c_Order__Relation_Opartial__order__on(A,B,C))| -hBOOL(c_Order__Relation_Olinear__order__on(A,B,C)).
% 212.49/212.54 ** KEPT (pick-wt=10): 329 [] hBOOL(c_Relation_Otrans(A,B))| -hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(C,B),A)).
% 212.49/212.54 ** KEPT (pick-wt=10): 330 [] hBOOL(c_Relation_Oirrefl(A,B))| -hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(C,B),A)).
% 212.49/212.54 ** KEPT (pick-wt=11): 331 [] hBOOL(c_Relation_Ototal__on(A,B,C))| -hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(A,C),B)).
% 212.49/212.54 ** KEPT (pick-wt=19): 332 [] -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).
% 212.49/212.54 ** KEPT (pick-wt=11): 333 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 212.49/212.54 ** KEPT (pick-wt=11): 334 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A)=c_Orderings_Otop__class_Otop(A).
% 212.49/212.54 ** KEPT (pick-wt=18): 335 [] hBOOL(c_Relation_Ototal__on(A,c_HOL_Ominus__class_Ominus(B,c_Relation_OId(C),tc_fun(tc_prod(C,C),tc_bool)),C))| -hBOOL(c_Relation_Ototal__on(A,B,C)).
% 212.49/212.54 ** KEPT (pick-wt=18): 336 [] hBOOL(c_Relation_Ototal__on(A,B,C))| -hBOOL(c_Relation_Ototal__on(A,c_HOL_Ominus__class_Ominus(B,c_Relation_OId(C),tc_fun(tc_prod(C,C),tc_bool)),C)).
% 212.49/212.54 ** KEPT (pick-wt=17): 337 [] hBOOL(c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B))| -hBOOL(c_Order__Relation_Owell__order__on(C,A,B)).
% 212.49/212.54 ** KEPT (pick-wt=22): 338 [] hBOOL(c_Order__Relation_Owell__order__on(A,B,C))| -hBOOL(c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(B,c_Relation_OId(C),tc_fun(tc_prod(C,C),tc_bool)),C))| -hBOOL(c_Order__Relation_Olinear__order__on(A,B,C)).
% 212.49/212.54 ** KEPT (pick-wt=14): 339 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 212.49/212.54 ** KEPT (pick-wt=14): 340 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 212.49/212.54 ** KEPT (pick-wt=19): 341 [] hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(A,B),c_HOL_Ominus__class_Ominus(C,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool))))| -hBOOL(c_Order__Relation_Olinear__order__on(A,C,B)).
% 212.49/212.55 ** KEPT (pick-wt=9): 342 [] -hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),A)).
% 212.49/212.55 ** KEPT (pick-wt=8): 343 [] class_Finite__Set_Ofinite_Ofinite(tc_prod(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 212.49/212.55 ** KEPT (pick-wt=6): 344 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 345 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 346 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 347 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 348 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 349 [] class_Lattices_Oboolean__algebra(tc_fun(A,B))| -class_Lattices_Oboolean__algebra(B).
% 212.49/212.55 ** KEPT (pick-wt=8): 350 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 212.49/212.55 ** KEPT (pick-wt=6): 351 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 352 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 353 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 354 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 355 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 356 [] class_HOL_Ouminus(tc_fun(A,B))| -class_HOL_Ouminus(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 357 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 212.49/212.55 ** KEPT (pick-wt=6): 358 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 212.49/212.55 ** KEPT (pick-wt=7): 359 [] A=B| -c_fe_qual(A,B,C).
% 212.49/212.55 160 back subsumes 92.
% 212.49/212.55 214 back subsumes 34.
% 212.49/212.55 231 back subsumes 159.
% 212.49/212.55 285 back subsumes 37.
% 212.49/212.55 307 back subsumes 304.
% 212.49/212.55
% 212.49/212.55 ------------> process sos:
% 212.49/212.55 ** KEPT (pick-wt=3): 396 [] A=A.
% 212.49/212.55 ** KEPT (pick-wt=17): 398 [copy,397,flip.1] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),A,B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 212.49/212.55 ---> New Demodulator: 399 [new_demod,398] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),A,B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 212.49/212.55 ** KEPT (pick-wt=14): 400 [] hBOOL(c_in(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C))|hBOOL(c_in(A,B,C)).
% 212.49/212.55 ** KEPT (pick-wt=15): 401 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=15): 402 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=15): 403 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ---> New Demodulator: 404 [new_demod,403] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ** KEPT (pick-wt=11): 406 [copy,405,flip.1] c_Relation_OId(A)=c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A).
% 212.49/212.55 ---> New Demodulator: 407 [new_demod,406] c_Relation_OId(A)=c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A).
% 212.49/212.55 ** KEPT (pick-wt=28): 408 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B),tc_fun(tc_prod(B,B),tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=9): 409 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ---> New Demodulator: 410 [new_demod,409] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ** KEPT (pick-wt=21): 412 [copy,411,demod,407] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(A,B),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool)),B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ---> New Demodulator: 413 [new_demod,412] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(A,B),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool)),B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ** KEPT (pick-wt=14): 414 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=6): 415 [] hBOOL(c_Relation_Otrans(c_Transitive__Closure_Ortrancl(A,B),B)).
% 212.49/212.55 ** KEPT (pick-wt=18): 416 [] c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),C,A,B,D)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,D),tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=18): 417 [] c_Relation_Orel__comp(A,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)),D,B,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(D,C),tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=5): 418 [] c_Collect(A,B)=A.
% 212.49/212.55 ---> New Demodulator: 419 [new_demod,418] c_Collect(A,B)=A.
% 212.49/212.55 ** KEPT (pick-wt=9): 420 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 212.49/212.55 Following clause subsumed by 420 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),B,tc_fun(tc_prod(A,A),tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=21): 421 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 422 [new_demod,421] c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=13): 423 [] c_Relation_OImage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=23): 424 [] c_Relation_Orel__comp(c_Relation_Orel__comp(A,B,C,D,E),F,C,E,G)=c_Relation_Orel__comp(A,c_Relation_Orel__comp(B,F,D,E,G),C,D,G).
% 212.49/212.55 ---> New Demodulator: 425 [new_demod,424] c_Relation_Orel__comp(c_Relation_Orel__comp(A,B,C,D,E),F,C,E,G)=c_Relation_Orel__comp(A,c_Relation_Orel__comp(B,F,D,E,G),C,D,G).
% 212.49/212.55 Following clause subsumed by 420 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=27): 426 [] c_lesse_quals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(A,C,D),c_Relation_ODomain(B,C,D),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=14): 427 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 428 [new_demod,427] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=14): 429 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 430 [new_demod,429] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=17): 431 [] c_Relation_Oconverse(c_Relation_Oinv__image(A,B,C,D),D,D)=c_Relation_Oinv__image(c_Relation_Oconverse(A,C,C),B,C,D).
% 212.49/212.55 ---> New Demodulator: 432 [new_demod,431] c_Relation_Oconverse(c_Relation_Oinv__image(A,B,C,D),D,D)=c_Relation_Oinv__image(c_Relation_Oconverse(A,C,C),B,C,D).
% 212.49/212.55 ** KEPT (pick-wt=13): 433 [] c_Transitive__Closure_Otrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Otrancl(A,B),B,B).
% 212.49/212.55 ---> New Demodulator: 434 [new_demod,433] c_Transitive__Closure_Otrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Otrancl(A,B),B,B).
% 212.49/212.55 ** KEPT (pick-wt=6): 435 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 212.49/212.55 ** KEPT (pick-wt=17): 436 [] c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 212.49/212.55 ---> New Demodulator: 437 [new_demod,436] c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 212.49/212.55 ** KEPT (pick-wt=17): 438 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 212.49/212.55 ---> New Demodulator: 439 [new_demod,438] c_Lattices_Olower__semilattice__class_Oinf(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 212.49/212.55 ** KEPT (pick-wt=28): 440 [] c_lesse_quals(c_Set_Oimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=28): 441 [] c_lesse_quals(c_Relation_OImage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=12): 442 [] c_Relation_ORange(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ODomain(A,B,C).
% 212.49/212.55 ---> New Demodulator: 443 [new_demod,442] c_Relation_ORange(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ODomain(A,B,C).
% 212.49/212.55 ** KEPT (pick-wt=13): 444 [] hBOOL(c_Order__Relation_Opartial__order__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A)).
% 212.49/212.55 ** KEPT (pick-wt=21): 446 [copy,445,demod,407] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool)),B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ---> New Demodulator: 447 [new_demod,446] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool)),B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ** KEPT (pick-wt=27): 449 [copy,448,flip.1] c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,E,tc_fun(C,tc_bool)),B,C,D).
% 212.49/212.55 ---> New Demodulator: 450 [new_demod,449] c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,E,tc_fun(C,tc_bool)),B,C,D).
% 212.49/212.55 ** KEPT (pick-wt=22): 451 [] c_Relation_Oconverse(c_Relation_Orel__comp(A,B,C,D,E),C,E)=c_Relation_Orel__comp(c_Relation_Oconverse(B,D,E),c_Relation_Oconverse(A,C,D),E,D,C).
% 212.49/212.55 ---> New Demodulator: 452 [new_demod,451] c_Relation_Oconverse(c_Relation_Orel__comp(A,B,C,D,E),C,E)=c_Relation_Orel__comp(c_Relation_Oconverse(B,D,E),c_Relation_Oconverse(A,C,D),E,D,C).
% 212.49/212.55 ** KEPT (pick-wt=28): 454 [copy,453,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 455 [new_demod,454] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=28): 457 [copy,456,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 458 [new_demod,457] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=20): 459 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,tc_fun(C,tc_bool))=B|A=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=8): 460 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 212.49/212.55 ---> New Demodulator: 461 [new_demod,460] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 212.49/212.55 ** KEPT (pick-wt=6): 462 [] hBOOL(c_Relation_Otrans(c_Transitive__Closure_Otrancl(A,B),B)).
% 212.49/212.55 ** KEPT (pick-wt=27): 463 [] c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,E,C,D),c_Relation_OImage(B,E,C,D),tc_fun(D,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=25): 464 [] c_Relation_OImage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)).
% 212.49/212.55 Following clause subsumed by 396 during input processing: 0 [demod,407,413] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ** KEPT (pick-wt=11): 465 [] c_Relation_ORange(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ORange(A,B,B).
% 212.49/212.55 ---> New Demodulator: 466 [new_demod,465] c_Relation_ORange(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ORange(A,B,B).
% 212.49/212.55 ** KEPT (pick-wt=14): 467 [] c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),A,B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 468 [new_demod,467] c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),A,B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=8): 469 [] hAPP(c_COMBK(A,B,C),D)=A.
% 212.49/212.55 ---> New Demodulator: 470 [new_demod,469] hAPP(c_COMBK(A,B,C),D)=A.
% 212.49/212.55 ** KEPT (pick-wt=14): 471 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D)).
% 212.49/212.55 ** KEPT (pick-wt=19): 473 [copy,472,flip.1] hAPP(c_Nat_Ocompow(A,B,C,C),hAPP(B,D))=hAPP(B,hAPP(c_Nat_Ocompow(A,B,C,C),D)).
% 212.49/212.55 ---> New Demodulator: 474 [new_demod,473] hAPP(c_Nat_Ocompow(A,B,C,C),hAPP(B,D))=hAPP(B,hAPP(c_Nat_Ocompow(A,B,C,C),D)).
% 212.49/212.55 ** KEPT (pick-wt=13): 475 [] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=17): 477 [copy,476,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 478 [new_demod,477] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=28): 479 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=8): 480 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 212.49/212.55 ** KEPT (pick-wt=23): 481 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=23): 482 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 483 [new_demod,482] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=21): 485 [copy,484,demod,407] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool)),B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ---> New Demodulator: 486 [new_demod,485] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool)),B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ** KEPT (pick-wt=11): 487 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=11): 488 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=13): 489 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=53): 491 [copy,490,demod,483] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 492 [new_demod,491] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 Following clause subsumed by 475 during input processing: 0 [] c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=15): 493 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),A,tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=15): 494 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=19): 495 [] c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),D,C)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,D,C),tc_fun(D,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=26): 497 [copy,496,demod,407,399,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A),c_Relation_Orel__comp(B,c_Transitive__Closure_Ortrancl(B,A),A,A,A),tc_fun(tc_prod(A,A),tc_bool))=c_Transitive__Closure_Ortrancl(B,A).
% 212.49/212.55 ---> New Demodulator: 498 [new_demod,497] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A),c_Relation_Orel__comp(B,c_Transitive__Closure_Ortrancl(B,A),A,A,A),tc_fun(tc_prod(A,A),tc_bool))=c_Transitive__Closure_Ortrancl(B,A).
% 212.49/212.55 Following clause subsumed by 396 during input processing: 0 [demod,450] c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E)=c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E).
% 212.49/212.55 ** KEPT (pick-wt=9): 499 [] c_Relation_Oconverse(c_Relation_Oconverse(A,B,C),C,B)=A.
% 212.49/212.55 ---> New Demodulator: 500 [new_demod,499] c_Relation_Oconverse(c_Relation_Oconverse(A,B,C),C,B)=A.
% 212.49/212.55 ** KEPT (pick-wt=23): 501 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 502 [new_demod,501] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=23): 503 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=9): 504 [] c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),c_Transitive__Closure_Ortrancl(B,A),A).
% 212.49/212.55 ** KEPT (pick-wt=11): 505 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 212.49/212.55 ---> New Demodulator: 506 [new_demod,505] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 212.49/212.55 ** KEPT (pick-wt=11): 507 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 212.49/212.55 ---> New Demodulator: 508 [new_demod,507] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 212.49/212.55 ** KEPT (pick-wt=14): 510 [copy,509,flip.1] c_and(c_Order__Relation_Opartial__order__on(v_A,v_r,t_a),c_Relation_Ototal__on(v_A,v_r,t_a))=c_Order__Relation_Olinear__order__on(v_A,v_r,t_a).
% 212.49/212.55 ---> New Demodulator: 511 [new_demod,510] c_and(c_Order__Relation_Opartial__order__on(v_A,v_r,t_a),c_Relation_Ototal__on(v_A,v_r,t_a))=c_Order__Relation_Olinear__order__on(v_A,v_r,t_a).
% 212.49/212.55 ** KEPT (pick-wt=14): 512 [] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ---> New Demodulator: 513 [new_demod,512] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Transitive__Closure_Ortrancl(A,B).
% 212.49/212.55 ** KEPT (pick-wt=13): 514 [] c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 515 [new_demod,514] c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=23): 517 [copy,516,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool))=c_Set_Oimage(B,c_Set_Ovimage(B,A,C,D),C,D).
% 212.49/212.55 ---> New Demodulator: 518 [new_demod,517] c_Lattices_Olower__semilattice__class_Oinf(A,c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool))=c_Set_Oimage(B,c_Set_Ovimage(B,A,C,D),C,D).
% 212.49/212.55 ** KEPT (pick-wt=18): 519 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=A.
% 212.49/212.55 ---> New Demodulator: 520 [new_demod,519] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=A.
% 212.49/212.55 ** KEPT (pick-wt=8): 521 [] c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A).
% 212.49/212.55 ** KEPT (pick-wt=14): 522 [] c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),A,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 523 [new_demod,522] c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),A,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=14): 524 [] 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).
% 212.49/212.55 ---> New Demodulator: 525 [new_demod,524] 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).
% 212.49/212.55 ** KEPT (pick-wt=11): 526 [] c_Relation_ORange(c_Transitive__Closure_Ortrancl(A,B),B,B)=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=18): 527 [] c_Set_Ovimage(c_COMBK(A,B,C),D,C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,D,B)).
% 212.49/212.55 ** KEPT (pick-wt=13): 528 [] c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B).
% 212.49/212.55 ---> New Demodulator: 529 [new_demod,528] c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B).
% 212.49/212.55 Following clause subsumed by 420 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=12): 531 [copy,530,flip.1] c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a)=c_Relation_ORange(v_r,t_a,t_b).
% 212.49/212.55 ---> New Demodulator: 532 [new_demod,531] c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a)=c_Relation_ORange(v_r,t_a,t_b).
% 212.49/212.55 ** KEPT (pick-wt=12): 533 [] c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A).
% 212.49/212.55 ** KEPT (pick-wt=8): 534 [] hBOOL(c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A)).
% 212.49/212.55 ** KEPT (pick-wt=26): 535 [] c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=11): 536 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=27): 538 [copy,537,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,D).
% 212.49/212.55 ---> New Demodulator: 539 [new_demod,538] c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,D).
% 212.49/212.55 ** KEPT (pick-wt=26): 540 [] c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=32): 541 [] c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D,F)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,E,C,D,F),c_Relation_Orel__comp(B,E,C,D,F),tc_fun(tc_prod(C,F),tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=32): 542 [] c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,E),tc_bool)),F,D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,B,F,D,E),c_Relation_Orel__comp(A,C,F,D,E),tc_fun(tc_prod(F,E),tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=13): 543 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=25): 544 [] c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 545 [new_demod,544] c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=24): 546 [] c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,C,D),c_Relation_ODomain(B,C,D),tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 547 [new_demod,546] c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,C,D),c_Relation_ODomain(B,C,D),tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=25): 549 [copy,548,flip.1] c_Relation_Orel__comp(c_Nat_Ocompow(A,B,tc_prod(C,C),tc_bool),B,C,C,C)=c_Relation_Orel__comp(B,c_Nat_Ocompow(A,B,tc_prod(C,C),tc_bool),C,C,C).
% 212.49/212.55 ---> New Demodulator: 550 [new_demod,549] c_Relation_Orel__comp(c_Nat_Ocompow(A,B,tc_prod(C,C),tc_bool),B,C,C,C)=c_Relation_Orel__comp(B,c_Nat_Ocompow(A,B,tc_prod(C,C),tc_bool),C,C,C).
% 212.49/212.55 ** KEPT (pick-wt=15): 551 [] c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,C),tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=18): 552 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 553 [new_demod,552] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=13): 554 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 212.49/212.55 ** KEPT (pick-wt=21): 556 [copy,555,demod,478] c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 212.49/212.55 ---> New Demodulator: 557 [new_demod,556] c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=16): 558 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=11): 559 [] c_Relation_ODomain(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ODomain(A,B,B).
% 212.49/212.55 ---> New Demodulator: 560 [new_demod,559] c_Relation_ODomain(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ODomain(A,B,B).
% 212.49/212.55 ** KEPT (pick-wt=11): 561 [] c_Relation_ODomain(c_Transitive_
% 212.49/212.55 Search stopped in tp_alloc by max_mem option.
% 212.49/212.55 _Closure_Ortrancl(A,B),B,B)=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 212.49/212.55 ** KEPT (pick-wt=13): 562 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_Oconverse(A,B,B),tc_fun(tc_prod(B,B),tc_bool)),B).
% 212.49/212.55 ** KEPT (pick-wt=13): 563 [] hBOOL(c_Order__Relation_Owell__order__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A)).
% 212.49/212.55 ** KEPT (pick-wt=25): 564 [] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 212.49/212.55
% 212.49/212.55 Search stopped in tp_alloc by max_mem option.
% 212.49/212.55
% 212.49/212.55 ============ end of search ============
% 212.49/212.55
% 212.49/212.55 -------------- statistics -------------
% 212.49/212.55 clauses given 0
% 212.49/212.55 clauses generated 40
% 212.49/212.55 clauses kept 490
% 212.49/212.55 clauses forward subsumed 53
% 212.49/212.55 clauses back subsumed 5
% 212.49/212.55 Kbytes malloced 11718
% 212.49/212.55
% 212.49/212.55 ----------- times (seconds) -----------
% 212.49/212.55 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 212.49/212.55 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 212.49/212.55 wall-clock time 212 (0 hr, 3 min, 32 sec)
% 212.49/212.55
% 212.49/212.55 Process 25301 finished Wed Jul 27 09:21:56 2022
% 212.49/212.55 Otter interrupted
% 212.49/212.55 PROOF NOT FOUND
%------------------------------------------------------------------------------