TSTP Solution File: SWV842-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV842-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:21:39 EDT 2022
% Result : Timeout 293.94s 294.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV842-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 06:04:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 293.94/294.05 ----- Otter 3.3f, August 2004 -----
% 293.94/294.05 The process was started by sandbox on n014.cluster.edu,
% 293.94/294.05 Wed Jul 27 06:04:09 2022
% 293.94/294.05 The command was "./otter". The process ID is 15552.
% 293.94/294.05
% 293.94/294.05 set(prolog_style_variables).
% 293.94/294.05 set(auto).
% 293.94/294.05 dependent: set(auto1).
% 293.94/294.05 dependent: set(process_input).
% 293.94/294.05 dependent: clear(print_kept).
% 293.94/294.05 dependent: clear(print_new_demod).
% 293.94/294.05 dependent: clear(print_back_demod).
% 293.94/294.05 dependent: clear(print_back_sub).
% 293.94/294.05 dependent: set(control_memory).
% 293.94/294.05 dependent: assign(max_mem, 12000).
% 293.94/294.05 dependent: assign(pick_given_ratio, 4).
% 293.94/294.05 dependent: assign(stats_level, 1).
% 293.94/294.05 dependent: assign(max_seconds, 10800).
% 293.94/294.05 clear(print_given).
% 293.94/294.05
% 293.94/294.05 list(usable).
% 293.94/294.05 0 [] A=A.
% 293.94/294.05 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=V_x.
% 293.94/294.05 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 293.94/294.05 0 [] -class_HOL_Oord(T_b)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,T_b)),V_f),V_g))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_g),V_f))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_f),V_g)).
% 293.94/294.05 0 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_x),V_x)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a)).
% 293.94/294.05 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y.
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y.
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 293.94/294.05 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=V_x.
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_x)).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_x)).
% 293.94/294.05 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.05 0 [] -class_HOL_Oord(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_f),V_g))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,T_b)),V_f),V_g)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.05 0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a)=V_f.
% 293.94/294.05 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x)=V_y.
% 293.94/294.05 0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b)=V_f.
% 293.94/294.05 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x)=V_y.
% 293.94/294.05 0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a)=V_f.
% 293.94/294.05 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)).
% 293.94/294.05 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a)).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)).
% 293.94/294.05 0 [] c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b)|hBOOL(c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 293.94/294.05 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)).
% 293.94/294.05 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 293.94/294.05 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 293.94/294.05 0 [] c_Finite__Set_Ofinite(c_List_Oset(V_xs,T_a),T_a).
% 293.94/294.05 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).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x.
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 293.94/294.05 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b).
% 293.94/294.05 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.05 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.05 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.05 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -c_Finite__Set_Ofinite(V_B,T_a).
% 293.94/294.05 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_k),V_l)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_k),V_l)).
% 293.94/294.05 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 293.94/294.05 0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 293.94/294.05 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)).
% 293.94/294.05 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).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))|V_a=V_b| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a))|V_a=V_b.
% 293.94/294.05 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B))|V_A=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.05 0 [] V_A=V_B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))|V_a=V_b| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))|V_a=V_b.
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 293.94/294.05 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.05 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a)),V_a))| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.05 0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.05 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_List_Oset(V_xs,T_a))=c_List_Ofoldl(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a),V_xs,T_a,T_a).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_k)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a)).
% 293.94/294.05 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b)|hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.05 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))).
% 293.94/294.05 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.05 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)))).
% 293.94/294.05 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)))).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))).
% 293.94/294.05 0 [] c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a)=c_Set_Oimage(V_f,V_A,T_b,T_a)|hBOOL(c_in(V_x,V_A,T_b)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a))=c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_m),V_u))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_m)).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a))=c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_m),V_u))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_m)).
% 293.94/294.05 0 [] c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.05 0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b)=c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)|hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.05 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_xa))| -hBOOL(c_in(V_xa,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.05 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a))=c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_i),V_n)).
% 293.94/294.05 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)).
% 293.94/294.05 0 [] c_Finite__Set_Ofinite(V_B,T_b)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.05 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,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)|V_A=V_B.
% 293.94/294.05 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.
% 293.94/294.05 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)),T_a).
% 293.94/294.05 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)),T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a).
% 293.94/294.06 0 [] c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,T_a,T_c)| -c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_c)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 293.94/294.06 0 [] c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_c),T_c,T_b)| -c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),V_A)).
% 293.94/294.06 0 [] hAPP(V_Inf,c_List_Oset(V_xs,T_a))=c_List_Ofoldl(V_inf,V_top,V_xs,T_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).
% 293.94/294.06 0 [] hAPP(V_Sup,c_List_Oset(V_xs,T_a))=c_List_Ofoldl(V_sup,V_bot,V_xs,T_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).
% 293.94/294.06 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=V_x.
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=V_x.
% 293.94/294.06 0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b)=c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B)!=c_Orderings_Otop__class_Otop(T_a)|V_A=c_Orderings_Otop__class_Otop(T_a).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B)!=c_Orderings_Otop__class_Otop(T_a)|V_B=c_Orderings_Otop__class_Otop(T_a).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 293.94/294.06 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_a)),V_A))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 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.
% 293.94/294.06 0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)|V_a=V_c.
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 293.94/294.06 0 [] c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 293.94/294.06 0 [] c_Fun_Oinj__on(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_k),V_l)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_k),V_l)).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_x,T_a,T_b).
% 293.94/294.06 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 0 [] -class_HOL_Oord(T_b)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_g),V_f))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,T_b)),V_f),V_g)).
% 293.94/294.06 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 293.94/294.06 0 [] c_Fun_Ocomp(V_f,c_Fun_Ofun__upd(V_g,V_x,V_y,T_a,T_c),T_c,T_b,T_a)=c_Fun_Ofun__upd(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_a),V_x,hAPP(V_f,V_y),T_a,T_b).
% 293.94/294.06 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).
% 293.94/294.06 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.
% 293.94/294.06 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.
% 293.94/294.06 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)).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_x| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)!=V_x|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_x)).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_x)).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))).
% 293.94/294.06 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_d))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 293.94/294.06 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b)!=V_f|hAPP(V_f,V_x)=V_y.
% 293.94/294.06 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_c)|c_Finite__Set_Osetsum(V_h,c_Set_Oimage(V_f,V_B,T_a,T_b),T_b,T_c)=c_Finite__Set_Osetsum(c_Fun_Ocomp(V_h,V_f,T_b,T_c,T_a),V_B,T_a,T_c)| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b).
% 293.94/294.06 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,V_A,T_a,T_a)))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 293.94/294.06 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_a)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_b)).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=c_Orderings_Obot__class_Obot(T_a).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a).
% 293.94/294.06 0 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 293.94/294.06 0 [] V_x=V_z| -c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b).
% 293.94/294.06 0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 293.94/294.06 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b).
% 293.94/294.06 0 [] c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 293.94/294.06 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 293.94/294.06 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).
% 293.94/294.06 0 [] -class_Ring__and__Field_Oring(T_b)|c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)),hAPP(V_f,V_a))| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)),hAPP(V_f,V_a))| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_Finite__Set_Osetsum(c_COMBS(hAPP(c_COMBB(c_HOL_Ominus__class_Ominus(T_a),T_a,tc_fun(T_a,T_a),T_b),V_f),V_g,T_b,T_a,T_a),V_A,T_b,T_a)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_m),V_u))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_m)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_m),V_u))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_m)).
% 293.94/294.06 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).
% 293.94/294.06 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).
% 293.94/294.06 0 [] c_Finite__Set_Ofinite(c_Set_Oimage(hAPP(c_COMBB(V_f,T_a,T_c,T_b),V_g),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),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).
% 293.94/294.06 0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C))| -c_Fun_Oinj__on(V_f,V_C,T_a,T_b).
% 293.94/294.06 0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),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).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Finite__Set_Olinorder__class_OMax(V_A,T_a)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Olinorder__class_OMin(V_A,T_a)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a),V_x))|hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofold__graph(V_f,V_a,V_A,V_x,T_a,T_a).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_x)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a))),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a))).
% 293.94/294.06 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)|V_x_H=V_y_H.
% 293.94/294.06 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_xa),V_y)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x)|V_xa=V_y.
% 293.94/294.06 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)).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_B)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B).
% 293.94/294.06 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 293.94/294.06 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 293.94/294.06 0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 293.94/294.06 0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 293.94/294.06 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 293.94/294.06 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 293.94/294.06 0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),V_B)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B)).
% 293.94/294.06 0 [] c_Finite__Set_Ofold1(V_f,V_A,T_a)=c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(T_b),hAPP(V_M,V_i)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b)))| -hBOOL(c_in(V_i,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool))))| -hBOOL(c_in(V_a,V_A,T_a)).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)| -hBOOL(c_in(V_x,V_B,T_a)).
% 293.94/294.06 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).
% 293.94/294.06 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).
% 293.94/294.06 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 293.94/294.06 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 293.94/294.06 0 [] c_Collect(V_P,T_a)=V_P.
% 293.94/294.06 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 293.94/294.06 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 293.94/294.06 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A)).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=c_Orderings_Otop__class_Otop(T_a).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=c_Orderings_Otop__class_Otop(T_a).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_List_Oset(V_xs,T_b),V_f,T_b,T_a)=c_List_Ofoldl(c_COMBC(hAPP(c_COMBB(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,tc_fun(T_a,T_a),T_b),V_f),T_b,T_a,T_a),c_Orderings_Obot__class_Obot(T_a),V_xs,T_a,T_b).
% 293.94/294.06 0 [] -hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b),T_b))| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 293.94/294.06 0 [] c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)|hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b),T_b))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 293.94/294.06 0 [] c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a)=c_Set_Oinsert(V_y,c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)),T_b,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_b)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))|hBOOL(c_in(V_x,V_B,T_a)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Olinorder__class_OMax(V_M,T_a)),c_Finite__Set_Olinorder__class_OMax(V_N,T_a)))| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_M),V_N)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Olinorder__class_OMin(V_N,T_a)),c_Finite__Set_Olinorder__class_OMin(V_M,T_a)))| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_M),V_N)).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_List_Oset(V_xs,T_a))=c_List_Ofoldl(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a),V_xs,T_a,T_a).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(T_a),c_Complete__Lattice_OInf__class_OInf(T_a),c_COMBC(c_lesse_quals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a),c_Orderings_Obot__class_Obot(T_a),T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -c_Nitpick_Ofold__graph_H(V_f,V_z,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_y,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))| -hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))|hBOOL(c_in(V_x,V_B,T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,tc_nat)=c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat)|hBOOL(c_in(V_a,V_A,T_a)).
% 293.94/294.06 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofold__graph(V_f,V_z,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_y,T_a,T_b).
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))).
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))).
% 293.94/294.06 0 [] c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A))=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_A)).
% 293.94/294.06 0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)).
% 293.94/294.06 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=V_c|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))|hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 293.94/294.06 0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))| -hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A)),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 293.94/294.06 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] -class_HOL_Ominus(T_b)|hAPP(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(t_a,T_b)),V_A),V_B),v_x)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),hAPP(V_A,v_x)),hAPP(V_B,v_x)).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_C)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,V_B,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B).
% 293.94/294.06 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).
% 293.94/294.06 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).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 293.94/294.06 0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 293.94/294.06 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 293.94/294.06 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 293.94/294.06 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 293.94/294.06 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 293.94/294.06 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 293.94/294.06 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 293.94/294.06 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)=c_Set_Oinsert(V_x,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)|hBOOL(c_in(V_x,V_B,T_a)).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=c_Orderings_Otop__class_Otop(T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)).
% 293.94/294.06 0 [] -class_HOL_Oord(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(T_b),hAPP(V_f,V_x)),hAPP(V_g,V_x)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_f),V_g)).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x.
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x.
% 293.94/294.06 0 [] -class_Orderings_Obot(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 293.94/294.06 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 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).
% 293.94/294.06 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).
% 293.94/294.06 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 293.94/294.06 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 293.94/294.06 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)).
% 293.94/294.06 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 293.94/294.06 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 293.94/294.06 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 293.94/294.06 0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 293.94/294.06 0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 293.94/294.06 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(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)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=V_B.
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_A)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A)).
% 293.94/294.06 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)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B)).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_C,T_a)),c_Set_Oinsert(V_a,V_D,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_D)).
% 293.94/294.06 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 293.94/294.06 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 293.94/294.06 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 293.94/294.06 0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oinsert(V_a,V_B,T_a))).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C)=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_b,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)).
% 293.94/294.06 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 293.94/294.06 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 293.94/294.06 0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)).
% 293.94/294.06 0 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),V_x),V_A))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_x,T_b,T_a)),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a).
% 293.94/294.06 0 [] c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 293.94/294.06 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)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 293.94/294.06 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 293.94/294.06 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 293.94/294.06 0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 293.94/294.06 0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(V_A,V_x)),V_B))| -hBOOL(c_in(V_x,V_I,T_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool))),V_B)).
% 293.94/294.06 0 [] hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x)=V_c.
% 293.94/294.06 0 [] c_The(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=V_a.
% 293.94/294.06 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 293.94/294.06 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 293.94/294.06 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 293.94/294.06 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_fun=V_fun_H.
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 293.94/294.06 0 [] hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)).
% 293.94/294.06 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)).
% 293.94/294.06 0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 293.94/294.06 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 293.94/294.06 0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 293.94/294.06 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 293.94/294.06 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 293.94/294.06 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B)=V_B.
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 293.94/294.06 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_C),V_D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_D),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 293.94/294.06 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).
% 293.94/294.06 0 [] V_A=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] V_A=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_x| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=V_y|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A)).
% 293.94/294.06 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=V_B|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 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).
% 293.94/294.06 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),V_A)),V_x))| -hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))).
% 293.94/294.06 0 [] -class_Orderings_Otop(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))).
% 293.94/294.06 0 [] c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a)=c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a).
% 293.94/294.06 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 293.94/294.06 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x)=hAPP(V_f,hAPP(V_g,v_x)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_x,V_B,T_a)).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Otop__class_Otop(T_a).
% 293.94/294.06 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 293.94/294.06 0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 293.94/294.06 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)).
% 293.94/294.06 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_x),V_x)).
% 293.94/294.06 0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_A)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_P),V_Q)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 293.94/294.06 0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_P),V_Q))| -hBOOL(hAPP(V_P,V_x)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 293.94/294.06 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 293.94/294.06 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 293.94/294.06 0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)).
% 293.94/294.06 0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H).
% 293.94/294.06 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))).
% 293.94/294.06 0 [] c_The(hAPP(c_fe_qual(T_a),V_x),T_a)=V_x.
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_C),V_A))=V_A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 293.94/294.06 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y_H),V_x_H))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 293.94/294.06 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y_H),V_x_H)).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A)))| -hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 293.94/294.06 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)).
% 293.94/294.06 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)).
% 293.94/294.06 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)).
% 293.94/294.06 0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_xa),V_xb),V_xc),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))).
% 293.94/294.06 0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_fun1),V_com),V_fun2),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_ts_H))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_G_H),V_G))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_G)).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a)),V_c),c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] hAPP(c_COMBI(t_a),v_P)=v_P.
% 293.94/294.06 0 [] hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),v_Q).
% 293.94/294.06 0 [] hAPP(V_g,hAPP(V_h,c_List_Osko__List__Xfoldl__apply__inv__1__1(V_g,V_h,T_b,T_a)))!=c_List_Osko__List__Xfoldl__apply__inv__1__1(V_g,V_h,T_b,T_a)|c_List_Ofoldl(V_f,hAPP(V_g,V_s),V_xs,T_a,T_c)=hAPP(V_g,c_List_Ofoldl(hAPP(c_COMBB(c_COMBB(V_h,T_a,T_b,T_c),tc_fun(T_c,T_a),tc_fun(T_c,T_b),T_b),hAPP(c_COMBB(V_f,T_a,tc_fun(T_c,T_a),T_b),V_g)),V_s,V_xs,T_b,T_c)).
% 293.94/294.06 0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OWhile(V_b,V_c)),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a)),V_c),V_P),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OBODY(V_pn)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OBODY(V_pn)),V_Q),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OBODY(V_pn)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OCond(V_b,V_c,V_d)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a)),V_d),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a)),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 293.94/294.06 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).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(T_a).
% 293.94/294.06 0 [] c_Set_Oimage(hAPP(c_COMBB(V_f,T_c,T_a,T_b),V_g),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a).
% 293.94/294.06 0 [] c_Collect(hAPP(c_fe_qual(T_a),V_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 293.94/294.06 0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 293.94/294.06 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 293.94/294.06 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 293.94/294.06 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a.
% 293.94/294.06 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))).
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)).
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 293.94/294.06 0 [] c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_x.
% 293.94/294.06 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 293.94/294.06 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B).
% 293.94/294.06 0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 293.94/294.06 0 [] V_a=V_b| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)).
% 293.94/294.06 0 [] c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_x.
% 293.94/294.06 0 [] V_y=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)| -hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)).
% 293.94/294.06 0 [] V_b=V_a| -hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 293.94/294.06 0 [] c_Finite__Set_Ofold1(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 293.94/294.06 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a)=c_Set_Oinsert(V_a,V_A,T_a).
% 293.94/294.06 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 293.94/294.06 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,V_A,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_A).
% 293.94/294.06 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a.
% 293.94/294.06 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)).
% 293.94/294.06 0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c))).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))).
% 293.94/294.06 0 [] hAPP(c_COMBK(v_P,t_a,t_b),v_Q)=v_P.
% 293.94/294.06 0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 293.94/294.06 0 [] hAPP(hAPP(c_COMBB(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(v_P,hAPP(v_Q,v_R)).
% 293.94/294.06 0 [] hAPP(c_COMBS(v_P,v_Q,t_a,t_b,t_c),v_R)=hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSKIP),V_P),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSemi(V_c,V_d)),V_R),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Q),V_d),V_R),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 293.94/294.06 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)).
% 293.94/294.06 0 [] c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a)=c_Set_Oimage(hAPP(c_COMBB(V_f,T_b,T_a,T_c),V_g),V_A,T_c,T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 293.94/294.06 0 [] c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)=c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 293.94/294.06 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 293.94/294.06 0 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)|V_fun2=V_fun2_H.
% 293.94/294.06 0 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)|V_com=V_com_H.
% 293.94/294.06 0 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)|V_fun1=V_fun1_H.
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_b=V_d.
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_b=V_d.
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_a=V_c.
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_a=V_c.
% 293.94/294.06 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 293.94/294.06 0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Set_Oinsert(V_x,V_A,T_a).
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 293.94/294.06 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)).
% 293.94/294.06 0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a)=c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 293.94/294.06 0 [] hAPP(hAPP(c_COMBB(V_P,T_b,T_a,T_c),V_Q),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 293.94/294.06 0 [] hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 293.94/294.06 0 [] c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 293.94/294.06 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)).
% 293.94/294.06 0 [] c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)!=c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_a=V_b.
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 293.94/294.06 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 293.94/294.06 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).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_P_H),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b).
% 293.94/294.06 0 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_P),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b).
% 293.94/294.06 0 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,V_p)),hAPP(v_c0,V_p)),hAPP(v_Q,V_p)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,V_p)),hAPP(v_c0,V_p)),hAPP(v_Q_H,V_p)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b).
% 293.94/294.06 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 293.94/294.06 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 293.94/294.06 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 293.94/294.06 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 293.94/294.06 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 293.94/294.06 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).
% 293.94/294.06 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 293.94/294.06 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 293.94/294.06 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 293.94/294.06 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 293.94/294.06 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 293.94/294.06 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 293.94/294.06 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 293.94/294.06 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 293.94/294.06 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 293.94/294.06 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 293.94/294.06 0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 293.94/294.06 0 [] class_Orderings_Opreorder(tc_nat).
% 293.94/294.06 0 [] class_Orderings_Olinorder(tc_nat).
% 293.94/294.06 0 [] class_Lattices_Olattice(tc_nat).
% 293.94/294.06 0 [] class_Orderings_Oorder(tc_nat).
% 293.94/294.06 0 [] class_Orderings_Obot(tc_nat).
% 293.94/294.06 0 [] class_HOL_Ominus(tc_nat).
% 293.94/294.06 0 [] class_HOL_Oord(tc_nat).
% 293.94/294.06 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 293.94/294.06 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 293.94/294.06 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 293.94/294.06 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 293.94/294.06 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 293.94/294.06 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 293.94/294.06 0 [] class_Orderings_Opreorder(tc_bool).
% 293.94/294.06 0 [] class_Lattices_Olattice(tc_bool).
% 293.94/294.06 0 [] class_Orderings_Oorder(tc_bool).
% 293.94/294.06 0 [] class_Orderings_Otop(tc_bool).
% 293.94/294.06 0 [] class_Orderings_Obot(tc_bool).
% 293.94/294.06 0 [] class_HOL_Ominus(tc_bool).
% 293.94/294.06 0 [] class_HOL_Oord(tc_bool).
% 293.94/294.06 0 [] hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 293.94/294.06 0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 293.94/294.06 0 [] hAPP(hAPP(c_COMBB(V_P,T_b,T_a,T_c),V_Q),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 293.94/294.06 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 293.94/294.06 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 293.94/294.06 end_of_list.
% 293.94/294.06
% 293.94/294.06 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 293.94/294.06
% 293.94/294.06 This ia a non-Horn set with equality. The strategy will be
% 293.94/294.06 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 293.94/294.06 deletion, with positive clauses in sos and nonpositive
% 293.94/294.06 clauses in usable.
% 293.94/294.06
% 293.94/294.06 dependent: set(knuth_bendix).
% 293.94/294.06 dependent: set(anl_eq).
% 293.94/294.06 dependent: set(para_from).
% 293.94/294.06 dependent: set(para_into).
% 293.94/294.06 dependent: clear(para_from_right).
% 293.94/294.06 dependent: clear(para_into_right).
% 293.94/294.06 dependent: set(para_from_vars).
% 293.94/294.06 dependent: set(eq_units_both_ways).
% 293.94/294.06 dependent: set(dynamic_demod_all).
% 293.94/294.06 dependent: set(dynamic_demod).
% 293.94/294.06 dependent: set(order_eq).
% 293.94/294.06 dependent: set(back_demod).
% 293.94/294.06 dependent: set(lrpo).
% 293.94/294.06 dependent: set(hyper_res).
% 293.94/294.06 dependent: set(unit_deletion).
% 293.94/294.06 dependent: set(factor).
% 293.94/294.06
% 293.94/294.06 ------------> process usable:
% 293.94/294.06 ** KEPT (pick-wt=15): 1 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=B.
% 293.94/294.06 ** KEPT (pick-wt=9): 2 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 293.94/294.06 ** KEPT (pick-wt=9): 3 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 293.94/294.06 ** KEPT (pick-wt=9): 4 [] -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 293.94/294.06 ** KEPT (pick-wt=29): 5 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),C),D))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,A)),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,A)),C),D)).
% 293.94/294.06 ** KEPT (pick-wt=9): 6 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),B)).
% 293.94/294.06 ** KEPT (pick-wt=45): 7 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),E))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B)).
% 293.94/294.06 ** KEPT (pick-wt=45): 8 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),E))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B)).
% 293.94/294.06 ** KEPT (pick-wt=19): 9 [] -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 293.94/294.06 ** KEPT (pick-wt=19): 10 [] -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.06 Following clause subsumed by 10 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 293.94/294.06 Following clause subsumed by 10 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.06 Following clause subsumed by 10 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.06 ** KEPT (pick-wt=15): 11 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=B.
% 293.94/294.06 ** KEPT (pick-wt=21): 12 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D)).
% 293.94/294.06 ** KEPT (pick-wt=21): 13 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 293.94/294.06 ** KEPT (pick-wt=18): 14 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),C)).
% 293.94/294.06 ** KEPT (pick-wt=20): 15 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,A)),C),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),C),D)).
% 293.94/294.06 ** KEPT (pick-wt=16): 16 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.06 ** KEPT (pick-wt=16): 17 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.06 ** KEPT (pick-wt=14): 18 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),B)).
% 293.94/294.06 ** KEPT (pick-wt=14): 19 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),C)).
% 293.94/294.06 ** KEPT (pick-wt=28): 20 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.06 Following clause subsumed by 20 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.06 Following clause subsumed by 20 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.06 ** KEPT (pick-wt=14): 21 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),C)).
% 293.94/294.06 ** KEPT (pick-wt=14): 22 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),B)).
% 293.94/294.06 ** KEPT (pick-wt=24): 23 [] c_Fun_Oinj__on(c_Fun_Ofun__upd(A,B,C,D,E),F,D,E)|hBOOL(c_in(C,c_Set_Oimage(A,F,D,E),E))| -c_Fun_Oinj__on(A,F,D,E).
% 293.94/294.06 ** KEPT (pick-wt=30): 24 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 293.94/294.06 ** KEPT (pick-wt=30): 26 [copy,25,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 293.94/294.07 ** KEPT (pick-wt=20): 27 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 293.94/294.07 ** KEPT (pick-wt=20): 28 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 293.94/294.07 ** KEPT (pick-wt=8): 29 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A).
% 293.94/294.07 ** KEPT (pick-wt=10): 30 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B.
% 293.94/294.07 ** KEPT (pick-wt=23): 31 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C)).
% 293.94/294.07 ** KEPT (pick-wt=23): 32 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C)).
% 293.94/294.07 ** KEPT (pick-wt=19): 33 [] c_Fun_Oinj__on(A,B,C,D)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),B),E))| -c_Fun_Oinj__on(A,E,C,D).
% 293.94/294.07 ** KEPT (pick-wt=15): 34 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),C)).
% 293.94/294.07 ** KEPT (pick-wt=27): 35 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=27): 36 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.07 Following clause subsumed by 34 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),C))| -c_Finite__Set_Ofinite(C,B).
% 293.94/294.07 ** KEPT (pick-wt=23): 37 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=23): 38 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=18): 39 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=18): 40 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=18): 41 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=18): 42 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=29): 43 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),E)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),E))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=29): 44 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),E)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),E)).
% 293.94/294.07 ** KEPT (pick-wt=15): 45 [] 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).
% 293.94/294.07 ** KEPT (pick-wt=19): 46 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 Following clause subsumed by 46 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|C=B.
% 293.94/294.07 ** KEPT (pick-wt=21): 47 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=19): 48 [] -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 Following clause subsumed by 48 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 Following clause subsumed by 47 during input processing: 0 [] A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(C,tc_bool)),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 293.94/294.07 Following clause subsumed by 48 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 Following clause subsumed by 48 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|B=C.
% 293.94/294.07 ** KEPT (pick-wt=19): 49 [] -class_Orderings_Olinorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 Following clause subsumed by 49 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=16): 50 [] -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.07 ** KEPT (pick-wt=16): 51 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.07 ** KEPT (pick-wt=16): 52 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.07 Following clause subsumed by 52 during input processing: 0 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.07 ** KEPT (pick-wt=21): 53 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),B,A)),C))| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 293.94/294.07 ** KEPT (pick-wt=41): 54 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D),E),C,A)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),c_Finite__Set_Osetsum(B,D,C,A)),c_Finite__Set_Osetsum(B,E,C,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),E),D))| -c_Finite__Set_Ofinite(D,C).
% 293.94/294.07 ** KEPT (pick-wt=17): 55 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OInf__class_OInf(A),c_List_Oset(B,A))=c_List_Ofoldl(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Otop__class_Otop(A),B,A,A).
% 293.94/294.07 ** KEPT (pick-wt=18): 56 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.07 ** KEPT (pick-wt=18): 57 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.07 ** KEPT (pick-wt=26): 58 [] c_Finite__Set_Ofold__graph(A,B,c_Set_Oinsert(C,D,E),hAPP(hAPP(A,C),F),E,G)| -c_Finite__Set_Ofold__graph(A,B,D,F,E,G)|hBOOL(c_in(C,D,E)).
% 293.94/294.07 ** KEPT (pick-wt=26): 59 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),C))| -hBOOL(c_in(D,C,A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(D,C,A))).
% 293.94/294.07 ** KEPT (pick-wt=26): 60 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(c_in(C,D,A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=34): 61 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))).
% 293.94/294.07 ** KEPT (pick-wt=34): 62 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)))).
% 293.94/294.07 ** KEPT (pick-wt=31): 63 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(D,B,A)),c_SetInterval_Oord__class_OatLeastLessThan(E,C,A))).
% 293.94/294.07 ** KEPT (pick-wt=31): 64 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A)),c_SetInterval_Oord__class_OatLeastLessThan(B,E,A))).
% 293.94/294.07 ** KEPT (pick-wt=31): 65 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(D,B,A)),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A))).
% 293.94/294.07 ** KEPT (pick-wt=31): 66 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A)),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A))).
% 293.94/294.07 ** KEPT (pick-wt=24): 67 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A))).
% 293.94/294.07 ** KEPT (pick-wt=31): 68 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),E))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=35): 69 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A))=c_SetInterval_Oord__class_OgreaterThanAtMost(B,D,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=35): 70 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A))=c_SetInterval_Oord__class_OatLeastLessThan(B,D,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=22): 71 [] c_Finite__Set_Ofinite(hAPP(A,B),C)| -hBOOL(c_in(B,D,E))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,A,E,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(D,E).
% 293.94/294.07 ** KEPT (pick-wt=34): 72 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D),c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)),C,A)=c_Finite__Set_Osetsum(B,D,C,A)|hBOOL(c_in(E,D,C))| -c_Finite__Set_Ofinite(D,C).
% 293.94/294.07 ** KEPT (pick-wt=34): 73 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(c_in(C,D,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),D,A)))|D=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(D,A).
% 293.94/294.07 ** KEPT (pick-wt=28): 74 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),c_SetInterval_Oord__class_OatLeastLessThan(B,D,A))=c_SetInterval_Oord__class_OatLeastLessThan(D,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=18): 75 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.07 ** KEPT (pick-wt=19): 76 [] c_Finite__Set_Ofinite(A,B)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),c_Set_Oimage(C,D,E,B)))| -c_Finite__Set_Ofinite(D,E).
% 293.94/294.07 ** KEPT (pick-wt=26): 77 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),E),C,D)|B=E.
% 293.94/294.07 ** KEPT (pick-wt=22): 78 [] 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.
% 293.94/294.07 ** KEPT (pick-wt=23): 79 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(D,C,A)),A).
% 293.94/294.07 ** KEPT (pick-wt=23): 80 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)),A)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),D),A).
% 293.94/294.07 ** KEPT (pick-wt=24): 81 [] c_Fun_Oinj__on(c_Fun_Ocomp(A,B,C,D,E),F,E,D)| -c_Fun_Oinj__on(A,c_Set_Oimage(B,F,E,C),C,D)| -c_Fun_Oinj__on(B,F,E,C).
% 293.94/294.07 ** KEPT (pick-wt=19): 82 [] c_Fun_Oinj__on(A,c_Set_Oimage(B,C,D,E),E,F)| -c_Fun_Oinj__on(c_Fun_Ocomp(A,B,E,F,D),C,D,F).
% 293.94/294.07 ** KEPT (pick-wt=19): 84 [copy,83,flip.2] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(c_Complete__Lattice_OInf__class_OInf(A),C))=hAPP(c_Complete__Lattice_OInf__class_OInf(A),c_Set_Oinsert(B,C,A)).
% 293.94/294.07 ** KEPT (pick-wt=22): 85 [] hAPP(A,c_List_Oset(B,C))=c_List_Ofoldl(D,E,B,C,C)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,D,I,J,E,C).
% 293.94/294.07 ** KEPT (pick-wt=22): 86 [] hAPP(A,c_List_Oset(B,C))=c_List_Ofoldl(D,E,B,C,C)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,D,E,J,C).
% 293.94/294.07 ** KEPT (pick-wt=23): 87 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=11): 88 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Otop__class_Otop(A)),B)=B.
% 293.94/294.07 ** KEPT (pick-wt=11): 89 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Otop__class_Otop(A))=B.
% 293.94/294.07 ** KEPT (pick-wt=15): 90 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|B=c_Orderings_Otop__class_Otop(A).
% 293.94/294.07 ** KEPT (pick-wt=15): 91 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|C=c_Orderings_Otop__class_Otop(A).
% 293.94/294.07 ** KEPT (pick-wt=13): 92 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),B).
% 293.94/294.07 ** KEPT (pick-wt=13): 93 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),B).
% 293.94/294.07 ** KEPT (pick-wt=25): 94 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 293.94/294.07 ** KEPT (pick-wt=25): 95 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=25): 96 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=25): 97 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 293.94/294.07 ** KEPT (pick-wt=28): 98 [] c_Set_Oimage(A,B,C,C)=B| -c_Fun_Oinj__on(A,B,C,C)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),c_Set_Oimage(A,B,C,C)),B))| -c_Finite__Set_Ofinite(B,C).
% 293.94/294.07 ** KEPT (pick-wt=18): 99 [] 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.
% 293.94/294.07 ** KEPT (pick-wt=16): 100 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 293.94/294.07 Following clause subsumed by 100 during input processing: 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 293.94/294.07 ** KEPT (pick-wt=16): 101 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(B,A)| -c_Finite__Set_Ofinite(C,A).
% 293.94/294.07 ** KEPT (pick-wt=16): 102 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),A),C),B)| -c_Finite__Set_Ofinite(C,B).
% 293.94/294.07 ** KEPT (pick-wt=17): 103 [] c_Fun_Oinj__on(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),D),B,E)| -c_Fun_Oinj__on(A,C,B,E).
% 293.94/294.07 ** KEPT (pick-wt=13): 104 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(B,A).
% 293.94/294.07 ** KEPT (pick-wt=18): 105 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=18): 106 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=10): 107 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofold__graph(C,D,A,E,B,F).
% 293.94/294.07 ** KEPT (pick-wt=30): 109 [copy,108,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 293.94/294.07 ** KEPT (pick-wt=30): 110 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 293.94/294.07 ** KEPT (pick-wt=23): 111 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=27): 112 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=19): 113 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(C,tc_bool)),D),B)).
% 293.94/294.07 ** KEPT (pick-wt=23): 114 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C)).
% 293.94/294.07 ** KEPT (pick-wt=16): 115 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.07 Following clause subsumed by 51 during input processing: 0 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 293.94/294.07 Following clause subsumed by 115 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 293.94/294.07 ** KEPT (pick-wt=16): 116 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.07 Following clause subsumed by 115 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.07 Following clause subsumed by 116 during input processing: 0 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.07 Following clause subsumed by 115 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.07 ** KEPT (pick-wt=20): 117 [] -class_HOL_Oord(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,A)),C),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),D),C)).
% 293.94/294.07 ** KEPT (pick-wt=16): 118 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 293.94/294.07 ** KEPT (pick-wt=25): 119 [] 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).
% 293.94/294.07 Following clause subsumed by 119 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.
% 293.94/294.07 Following clause subsumed by 119 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.
% 293.94/294.07 Following clause subsumed by 119 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)).
% 293.94/294.07 ** KEPT (pick-wt=17): 120 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=17): 121 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=17): 122 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.07 ** KEPT (pick-wt=15): 123 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 293.94/294.07 ** KEPT (pick-wt=15): 124 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 293.94/294.07 ** KEPT (pick-wt=21): 125 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))).
% 293.94/294.07 ** KEPT (pick-wt=21): 126 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))).
% 293.94/294.07 ** KEPT (pick-wt=21): 127 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=21): 128 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D)).
% 293.94/294.07 Following clause subsumed by 125 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))).
% 293.94/294.07 Following clause subsumed by 126 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))).
% 293.94/294.07 ** KEPT (pick-wt=18): 129 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=18): 130 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=38): 131 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),E),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(E,B,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,C,A))).
% 293.94/294.07 ** KEPT (pick-wt=5): 132 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 293.94/294.07 ** KEPT (pick-wt=13): 133 [] c_Fun_Ofun__upd(A,B,C,D,E)!=A|hAPP(A,B)=C.
% 293.94/294.07 ** KEPT (pick-wt=27): 134 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,c_Set_Oimage(C,D,E,F),F,A)=c_Finite__Set_Osetsum(c_Fun_Ocomp(B,C,F,A,E),D,E,A)| -c_Fun_Oinj__on(C,D,E,F).
% 293.94/294.07 ** KEPT (pick-wt=21): 135 [] c_Fun_Oinj__on(A,B,C,C)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),B),c_Set_Oimage(A,B,C,C)))| -c_Finite__Set_Ofinite(B,C).
% 293.94/294.07 ** KEPT (pick-wt=17): 136 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),E),B),C,D).
% 293.94/294.07 ** KEPT (pick-wt=17): 137 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),E),C,D).
% 293.94/294.07 ** KEPT (pick-wt=21): 138 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=21): 139 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=12): 140 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Obot__class_Obot(A)),B)=c_Orderings_Obot__class_Obot(A).
% 293.94/294.07 ** KEPT (pick-wt=12): 141 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Obot__class_Obot(A))=c_Orderings_Obot__class_Obot(A).
% 293.94/294.07 ** KEPT (pick-wt=12): 142 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 293.94/294.07 ** KEPT (pick-wt=13): 143 [] A=B| -c_Finite__Set_Ofold__graph(C,B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),A,D,E).
% 293.94/294.07 ** KEPT (pick-wt=9): 144 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 293.94/294.07 ** KEPT (pick-wt=9): 145 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 293.94/294.07 ** KEPT (pick-wt=13): 146 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D).
% 293.94/294.07 ** KEPT (pick-wt=10): 147 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 293.94/294.07 ** KEPT (pick-wt=41): 148 [] -class_Ring__and__Field_Oring(A)|c_Finite__Set_Osetsum(B,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D),c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)),C,A)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),c_Finite__Set_Osetsum(B,D,C,A)),hAPP(B,E))| -hBOOL(c_in(E,D,C))| -c_Finite__Set_Ofinite(D,C).
% 293.94/294.07 ** KEPT (pick-wt=41): 149 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D),c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)),C,A)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),c_Finite__Set_Osetsum(B,D,C,A)),hAPP(B,E))| -hBOOL(c_in(E,D,C))| -c_Finite__Set_Ofinite(D,C).
% 293.94/294.07 ** KEPT (pick-wt=36): 151 [copy,150,flip.2] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),c_Finite__Set_Osetsum(B,C,D,A)),c_Finite__Set_Osetsum(E,C,D,A))=c_Finite__Set_Osetsum(c_COMBS(hAPP(c_COMBB(c_HOL_Ominus__class_Ominus(A),A,tc_fun(A,A),D),B),E,D,A,A),C,D,A).
% 293.94/294.07 ** KEPT (pick-wt=35): 152 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.07 ** KEPT (pick-wt=31): 153 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A))|hBOOL(c_in(C,D,A)).
% 293.94/294.07 ** KEPT (pick-wt=31): 154 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))|hBOOL(c_in(D,B,A))|hBOOL(c_in(D,C,A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(D,C,A))).
% 293.94/294.07 ** KEPT (pick-wt=35): 155 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A))=c_SetInterval_Oord__class_OatLeastAtMost(B,D,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=35): 156 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A))=c_SetInterval_Oord__class_OatLeastAtMost(B,D,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.07 ** KEPT (pick-wt=24): 157 [] 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).
% 293.94/294.07 ** KEPT (pick-wt=24): 158 [] 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).
% 293.94/294.07 ** KEPT (pick-wt=26): 159 [] c_Finite__Set_Ofinite(c_Set_Oimage(hAPP(c_COMBB(A,B,C,D),E),c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,C),C)| -c_Finite__Set_Ofinite(c_Set_Oimage(E,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,B),B).
% 293.94/294.07 ** KEPT (pick-wt=34): 160 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Oimage(B,C,D,A)),c_Set_Oimage(B,E,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),C),E))| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A).
% 293.94/294.07 ** KEPT (pick-wt=34): 161 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),c_Set_Oimage(E,B,A,D)),c_Set_Oimage(E,C,A,D)))| -c_Fun_Oinj__on(E,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,D).
% 293.94/294.07 ** KEPT (pick-wt=52): 162 [] c_Set_Oimage(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),D),F))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),C),F))| -c_Fun_Oinj__on(A,F,B,E).
% 293.94/294.07 ** KEPT (pick-wt=37): 163 [] c_Set_Oimage(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,E).
% 293.94/294.07 ** KEPT (pick-wt=22): 164 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OInf__class_OInf(A),c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 293.94/294.07 ** KEPT (pick-wt=19): 165 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Finite__Set_Olinorder__class_OMax(C,A)))| -hBOOL(c_in(B,C,A))| -c_Finite__Set_Ofinite(C,A).
% 293.94/294.08 ** KEPT (pick-wt=19): 166 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Olinorder__class_OMin(B,A)),C))| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 293.94/294.08 ** KEPT (pick-wt=18): 167 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 293.94/294.08 ** KEPT (pick-wt=18): 168 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 293.94/294.08 ** KEPT (pick-wt=22): 169 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Set_Oinsert(B,C,D),D),E))|hBOOL(c_in(B,C,D))| -c_Finite__Set_Ofold__graph(A,B,C,E,D,D).
% 293.94/294.08 ** KEPT (pick-wt=28): 170 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 293.94/294.08 Following clause subsumed by 170 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 293.94/294.08 ** KEPT (pick-wt=14): 171 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B))).
% 293.94/294.08 ** KEPT (pick-wt=14): 172 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))).
% 293.94/294.08 Following clause subsumed by 170 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 293.94/294.08 ** KEPT (pick-wt=34): 173 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.08 Following clause subsumed by 173 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.08 ** KEPT (pick-wt=25): 174 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 293.94/294.08 ** KEPT (pick-wt=25): 175 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 293.94/294.08 ** KEPT (pick-wt=25): 176 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 293.94/294.08 ** KEPT (pick-wt=25): 177 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 293.94/294.08 ** KEPT (pick-wt=18): 178 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)|C=D.
% 293.94/294.08 ** KEPT (pick-wt=18): 179 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),D)|B=C.
% 293.94/294.08 ** KEPT (pick-wt=6): 180 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 293.94/294.08 ** KEPT (pick-wt=9): 181 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 293.94/294.08 ** KEPT (pick-wt=9): 182 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 293.94/294.08 ** KEPT (pick-wt=10): 183 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 293.94/294.08 ** KEPT (pick-wt=23): 184 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 293.94/294.08 ** KEPT (pick-wt=6): 185 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 293.94/294.08 ** KEPT (pick-wt=25): 186 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),c_Set_Oimage(A,E,F,D)),C)).
% 293.94/294.08 ** KEPT (pick-wt=39): 187 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))).
% 293.94/294.08 ** KEPT (pick-wt=39): 188 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D)).
% 293.94/294.08 Following clause subsumed by 188 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D)).
% 293.94/294.08 ** KEPT (pick-wt=20): 189 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A)))| -hBOOL(c_in(C,D,E)).
% 293.94/294.08 ** KEPT (pick-wt=22): 190 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool))))| -hBOOL(c_in(C,D,E)).
% 293.94/294.08 ** KEPT (pick-wt=25): 191 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),D)| -hBOOL(c_in(B,D,A)).
% 293.94/294.08 ** KEPT (pick-wt=18): 192 [] 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).
% 293.94/294.08 ** KEPT (pick-wt=18): 193 [] 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).
% 293.94/294.08 ** KEPT (pick-wt=5): 194 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 293.94/294.08 ** KEPT (pick-wt=6): 195 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 293.94/294.08 ** KEPT (pick-wt=10): 196 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 293.94/294.08 ** KEPT (pick-wt=10): 197 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 293.94/294.08 ** KEPT (pick-wt=7): 198 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 293.94/294.08 ** KEPT (pick-wt=19): 200 [copy,199,flip.2] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(c_Complete__Lattice_OSup__class_OSup(A),C))=hAPP(c_Complete__Lattice_OSup__class_OSup(A),c_Set_Oinsert(B,C,A)).
% 293.94/294.08 ** KEPT (pick-wt=12): 201 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Otop__class_Otop(A))=c_Orderings_Otop__class_Otop(A).
% 293.94/294.08 ** KEPT (pick-wt=12): 202 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Otop__class_Otop(A)),B)=c_Orderings_Otop__class_Otop(A).
% 293.94/294.08 ** KEPT (pick-wt=30): 203 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_List_Oset(B,C),D,C,A)=c_List_Ofoldl(c_COMBC(hAPP(c_COMBB(c_Lattices_Oupper__semilattice__class_Osup(A),A,tc_fun(A,A),C),D),C,A,A),c_Orderings_Obot__class_Obot(A),B,A,C).
% 293.94/294.08 ** KEPT (pick-wt=32): 204 [] -hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)),C,E),E))| -c_Fun_Oinj__on(A,c_Set_Oinsert(B,D,C),C,E).
% 293.94/294.08 ** KEPT (pick-wt=37): 205 [] c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E)|hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(D,tc_bool)),C),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D)),D,E),E))| -c_Fun_Oinj__on(A,C,D,E).
% 293.94/294.08 ** KEPT (pick-wt=37): 207 [copy,206,flip.1] c_Set_Oinsert(A,c_Set_Oimage(B,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D),c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)),C,F),F)=c_Set_Oimage(c_Fun_Ofun__upd(B,E,A,C,F),D,C,F)| -hBOOL(c_in(E,D,C)).
% 293.94/294.08 ** KEPT (pick-wt=48): 208 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D))|hBOOL(c_in(C,D,A)).
% 293.94/294.08 ** KEPT (pick-wt=31): 209 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.08 ** KEPT (pick-wt=31): 210 [] -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.08 ** KEPT (pick-wt=31): 211 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Olinorder__class_OMax(B,A)),c_Finite__Set_Olinorder__class_OMax(C,A)))| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 293.94/294.08 ** KEPT (pick-wt=31): 212 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Olinorder__class_OMin(B,A)),c_Finite__Set_Olinorder__class_OMin(C,A)))| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 293.94/294.08 ** KEPT (pick-wt=17): 213 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),c_List_Oset(B,A))=c_List_Ofoldl(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A),B,A,A).
% 293.94/294.08 ** KEPT (pick-wt=28): 214 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(A),c_Complete__Lattice_OInf__class_OInf(A),c_COMBC(c_lesse_quals(A),A,A,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(A),A,A,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(A),c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Otop__class_Otop(A),c_Orderings_Obot__class_Obot(A),A).
% 293.94/294.08 ** KEPT (pick-wt=52): 215 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.08 ** KEPT (pick-wt=36): 216 [] c_Nitpick_Ofold__graph_H(A,B,C,hAPP(hAPP(A,D),E),F,G)| -c_Nitpick_Ofold__graph_H(A,B,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(F,tc_bool)),C),c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool)),F)),E,F,G)| -hBOOL(c_in(D,C,F)).
% 293.94/294.08 ** KEPT (pick-wt=44): 217 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D))| -hBOOL(c_in(C,B,A))|hBOOL(c_in(C,D,A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))).
% 293.94/294.08 ** KEPT (pick-wt=44): 218 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D))|hBOOL(c_in(C,D,A)).
% 293.94/294.08 ** KEPT (pick-wt=48): 219 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.08 ** KEPT (pick-wt=36): 220 [] c_Finite__Set_Ofold__graph(A,B,C,hAPP(hAPP(A,D),E),F,G)| -hBOOL(c_in(D,C,F))| -c_Finite__Set_Ofold__graph(A,B,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(F,tc_bool)),C),c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool)),F)),E,F,G).
% 293.94/294.08 ** KEPT (pick-wt=14): 221 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B))).
% 293.94/294.08 ** KEPT (pick-wt=14): 222 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))).
% 293.94/294.08 ** KEPT (pick-wt=28): 223 [] c_Complete__Lattice_Ocomplete__lattice(A,B,c_COMBC(C,D,D,tc_bool),c_COMBC(E,D,D,tc_bool),F,G,H,I,D)| -c_Complete__Lattice_Ocomplete__lattice(B,A,C,E,G,F,I,H,D).
% 293.94/294.08 ** KEPT (pick-wt=26): 224 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),B))=C| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 293.94/294.08 ** KEPT (pick-wt=6): 226 [copy,225,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 293.94/294.08 ** KEPT (pick-wt=11): 227 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 293.94/294.08 ** KEPT (pick-wt=11): 228 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 293.94/294.08 ** KEPT (pick-wt=22): 229 [] hBOOL(c_in(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),D),B))|hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 293.94/294.08 Following clause subsumed by 229 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),D),B))|hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 293.94/294.08 ** KEPT (pick-wt=17): 230 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),c_Set_Oinsert(A,D,C)),B)).
% 293.94/294.08 ** KEPT (pick-wt=18): 231 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 293.94/294.08 ** KEPT (pick-wt=26): 232 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A)).
% 293.94/294.08 ** KEPT (pick-wt=26): 233 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))|hBOOL(c_in(D,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(D,C,A))).
% 293.94/294.08 Following clause subsumed by 232 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A)).
% 293.94/294.08 Following clause subsumed by 233 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(D,C,A)))|hBOOL(c_in(D,B,A)).
% 293.94/294.08 ** KEPT (pick-wt=23): 234 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 293.94/294.08 Following clause subsumed by 234 during input processing: 0 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 293.94/294.08 ** KEPT (pick-wt=23): 235 [] -class_HOL_Ominus(A)|hAPP(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 293.94/294.08 ** KEPT (pick-wt=23): 236 [] 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).
% 293.94/294.08 ** KEPT (pick-wt=23): 237 [] 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).
% 293.94/294.08 ** KEPT (pick-wt=15): 238 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 293.94/294.08 ** KEPT (pick-wt=15): 239 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 293.94/294.08 ** KEPT (pick-wt=8): 240 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 293.94/294.08 ** KEPT (pick-wt=10): 241 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 293.94/294.08 ** KEPT (pick-wt=10): 242 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 293.94/294.08 ** KEPT (pick-wt=20): 243 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 293.94/294.08 ** KEPT (pick-wt=20): 244 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 293.94/294.08 Following clause subsumed by 226 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 293.94/294.08 ** KEPT (pick-wt=21): 245 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 293.94/294.08 Following clause subsumed by 245 during input processing: 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 293.94/294.08 ** KEPT (pick-wt=8): 246 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 293.94/294.08 ** KEPT (pick-wt=4): 248 [copy,247,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 293.94/294.08 ** KEPT (pick-wt=12): 249 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))=c_Orderings_Otop__class_Otop(A).
% 293.94/294.08 ** KEPT (pick-wt=32): 250 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))).
% 293.94/294.08 ** KEPT (pick-wt=32): 251 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C)),D)).
% 293.94/294.08 ** KEPT (pick-wt=22): 252 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(B,C)),hAPP(D,C)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(E,A)),B),D)).
% 293.94/294.08 ** KEPT (pick-wt=11): 253 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 293.94/294.08 ** KEPT (pick-wt=11): 254 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 293.94/294.08 ** KEPT (pick-wt=10): 255 [] -class_Orderings_Obot(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Orderings_Obot__class_Obot(A)),B)).
% 293.94/294.08 ** KEPT (pick-wt=15): 256 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 293.94/294.08 ** KEPT (pick-wt=15): 257 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 293.94/294.08 ** KEPT (pick-wt=18): 258 [] 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).
% 293.94/294.08 ** KEPT (pick-wt=18): 259 [] 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).
% 293.94/294.08 ** KEPT (pick-wt=12): 260 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 293.94/294.08 ** KEPT (pick-wt=8): 261 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 293.94/294.08 Following clause subsumed by 261 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 293.94/294.08 Following clause subsumed by 261 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 293.94/294.08 Following clause subsumed by 261 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 293.94/294.08 ** KEPT (pick-wt=18): 262 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))).
% 293.94/294.08 ** KEPT (pick-wt=12): 263 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 293.94/294.08 ** KEPT (pick-wt=10): 264 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 293.94/294.08 ** KEPT (pick-wt=9): 265 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 293.94/294.08 Following clause subsumed by 261 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 293.94/294.08 ** KEPT (pick-wt=19): 266 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 293.94/294.08 ** KEPT (pick-wt=19): 267 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 293.94/294.08 ** KEPT (pick-wt=24): 268 [] c_Set_Oinsert(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)),B)=C| -hBOOL(c_in(A,C,B)).
% 293.94/294.08 ** KEPT (pick-wt=22): 269 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 293.94/294.08 ** KEPT (pick-wt=43): 270 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D)).
% 293.94/294.08 ** KEPT (pick-wt=24): 271 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),c_Set_Oinsert(B,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D)).
% 293.94/294.08 ** KEPT (pick-wt=13): 272 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 293.94/294.08 Following clause subsumed by 272 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 293.94/294.08 ** KEPT (pick-wt=24): 273 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 293.94/294.08 ** KEPT (pick-wt=24): 274 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 293.94/294.08 ** KEPT (pick-wt=16): 275 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 293.94/294.08 ** KEPT (pick-wt=21): 276 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.08 ** KEPT (pick-wt=21): 277 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Oinsert(D,B,A)),C)).
% 293.94/294.08 ** KEPT (pick-wt=22): 278 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(c_in(A,D,C))|hBOOL(c_in(A,B,C))|B=D.
% 293.94/294.08 ** KEPT (pick-wt=11): 279 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 293.94/294.08 ** KEPT (pick-wt=26): 280 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),c_Set_Oimage(E,B,A,D)),c_Set_Oimage(E,C,A,D))).
% 293.94/294.08 Following clause subsumed by 280 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Oimage(B,C,D,A)),c_Set_Oimage(B,E,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),C),E)).
% 293.94/294.08 ** KEPT (pick-wt=16): 281 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 293.94/294.08 ** KEPT (pick-wt=8): 282 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 293.94/294.08 ** KEPT (pick-wt=25): 283 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(c_in(E,A,C)).
% 293.94/294.08 ** KEPT (pick-wt=8): 284 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 293.94/294.08 ** KEPT (pick-wt=17): 285 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),B),D),C)).
% 293.94/294.08 ** KEPT (pick-wt=17): 286 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D),B),C)).
% 293.94/294.08 ** KEPT (pick-wt=31): 287 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(B,C)),D))| -hBOOL(c_in(C,E,F))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,B,F,tc_fun(A,tc_bool))),D)).
% 293.94/294.08 ** KEPT (pick-wt=8): 288 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 293.94/294.08 ** KEPT (pick-wt=29): 289 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool))| -hBOOL(c_in(C,D,E)).
% 293.94/294.08 ** KEPT (pick-wt=12): 290 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 293.94/294.08 ** KEPT (pick-wt=12): 291 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 293.94/294.08 ** KEPT (pick-wt=12): 292 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 293.94/294.08 ** KEPT (pick-wt=31): 293 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B)).
% 293.94/294.08 ** KEPT (pick-wt=31): 294 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(D,B,A)),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A))).
% 293.94/294.08 ** KEPT (pick-wt=31): 295 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A)),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A))).
% 293.94/294.08 ** KEPT (pick-wt=24): 296 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.08 ** KEPT (pick-wt=19): 297 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),A),B)).
% 293.94/294.08 ** KEPT (pick-wt=15): 298 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 293.94/294.08 ** KEPT (pick-wt=15): 299 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 293.94/294.08 ** KEPT (pick-wt=22): 300 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),B),C)).
% 293.94/294.08 ** KEPT (pick-wt=7): 301 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 293.94/294.08 ** KEPT (pick-wt=7): 302 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 293.94/294.08 ** KEPT (pick-wt=25): 303 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(c_in(E,B,D)).
% 293.94/294.08 Following clause subsumed by 194 during input processing: 0 [flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 293.94/294.08 ** KEPT (pick-wt=41): 304 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),D),E)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),E),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.09 ** KEPT (pick-wt=12): 305 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OInf__class_OInf(A),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(A).
% 293.94/294.09 ** KEPT (pick-wt=11): 306 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 293.94/294.09 ** KEPT (pick-wt=21): 307 [] A=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),B),A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 293.94/294.09 Following clause subsumed by 307 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),B),A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 293.94/294.09 ** KEPT (pick-wt=19): 308 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.09 Following clause subsumed by 308 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.09 Following clause subsumed by 308 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.09 ** KEPT (pick-wt=17): 309 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.09 ** KEPT (pick-wt=17): 310 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.09 ** KEPT (pick-wt=17): 311 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.09 ** KEPT (pick-wt=19): 312 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 293.94/294.09 ** KEPT (pick-wt=19): 313 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 293.94/294.09 ** KEPT (pick-wt=19): 314 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=C|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 293.94/294.09 ** KEPT (pick-wt=17): 315 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(c_Complete__Lattice_OInf__class_OInf(A),B)),C))| -hBOOL(c_in(C,B,A)).
% 293.94/294.09 ** KEPT (pick-wt=18): 316 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.09 ** KEPT (pick-wt=18): 317 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.09 ** KEPT (pick-wt=41): 318 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),E)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.09 ** KEPT (pick-wt=10): 319 [] -class_Orderings_Otop(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Orderings_Otop__class_Otop(A))).
% 293.94/294.09 ** KEPT (pick-wt=5): 320 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 293.94/294.09 ** KEPT (pick-wt=26): 321 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D))| -hBOOL(c_in(B,D,A)).
% 293.94/294.09 ** KEPT (pick-wt=12): 323 [copy,322,flip.2] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Orderings_Otop__class_Otop(A)=hAPP(c_Complete__Lattice_OInf__class_OInf(A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 293.94/294.09 ** KEPT (pick-wt=7): 324 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 293.94/294.09 ** KEPT (pick-wt=17): 325 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B)).
% 293.94/294.09 ** KEPT (pick-wt=17): 326 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,C,B)).
% 293.94/294.09 ** KEPT (pick-wt=21): 327 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B)),C)).
% 293.94/294.09 ** KEPT (pick-wt=21): 328 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),C)).
% 293.94/294.09 ** KEPT (pick-wt=21): 329 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 293.94/294.09 ** KEPT (pick-wt=21): 330 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.09 Following clause subsumed by 327 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B)),C)).
% 293.94/294.09 Following clause subsumed by 328 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),C)).
% 293.94/294.09 ** KEPT (pick-wt=25): 331 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),C)).
% 293.94/294.09 ** KEPT (pick-wt=25): 332 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B)),C)).
% 293.94/294.09 ** KEPT (pick-wt=23): 333 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C)).
% 293.94/294.09 ** KEPT (pick-wt=23): 334 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 293.94/294.09 ** KEPT (pick-wt=19): 335 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B)).
% 293.94/294.09 Following clause subsumed by 335 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B)).
% 293.94/294.09 Following clause subsumed by 335 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B))| -hBOOL(c_in(A,D,C)).
% 293.94/294.09 Following clause subsumed by 335 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B)).
% 293.94/294.09 ** KEPT (pick-wt=27): 336 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 293.94/294.09 ** KEPT (pick-wt=17): 337 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),C),A)).
% 293.94/294.09 ** KEPT (pick-wt=9): 338 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 293.94/294.09 ** KEPT (pick-wt=9): 339 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 293.94/294.09 Following clause subsumed by 337 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),A))| -hBOOL(hAPP(D,B)).
% 293.94/294.09 ** KEPT (pick-wt=18): 340 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.09 ** KEPT (pick-wt=18): 341 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 293.94/294.09 ** KEPT (pick-wt=6): 342 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 293.94/294.09 Following clause subsumed by 248 during input processing: 0 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 293.94/294.09 ** KEPT (pick-wt=24): 343 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)).
% 293.94/294.09 ** KEPT (pick-wt=28): 344 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F).
% 293.94/294.09 ** KEPT (pick-wt=35): 345 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),D))=D| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),D),B)).
% 293.94/294.09 ** KEPT (pick-wt=29): 346 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),E)|hBOOL(hAPP(hAPP(c_lesse_quals(A),E),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.09 ** KEPT (pick-wt=29): 347 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),E)|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),E),D)).
% 293.94/294.09 ** KEPT (pick-wt=17): 348 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),hAPP(c_Complete__Lattice_OSup__class_OSup(A),C)))| -hBOOL(c_in(B,C,A)).
% 293.94/294.09 Following clause subsumed by 320 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 293.94/294.09 ** KEPT (pick-wt=16): 349 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 293.94/294.09 Following clause subsumed by 281 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 293.94/294.09 Following clause subsumed by 281 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 293.94/294.09 Following clause subsumed by 281 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 293.94/294.09 ** KEPT (pick-wt=25): 350 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),C),D),E),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 293.94/294.09 Following clause subsumed by 350 during input processing: 0 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),C),D),E),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 293.94/294.09 ** KEPT (pick-wt=18): 351 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),B),D))| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C).
% 293.94/294.09 ** KEPT (pick-wt=18): 352 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),D),A))| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 293.94/294.09 ** KEPT (pick-wt=14): 353 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),B),A)).
% 293.94/294.09 ** KEPT (pick-wt=65): 354 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a)),C),c_COMBK(hAPP(D,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=54): 356 [copy,355,flip.2] hAPP(A,hAPP(B,c_List_Osko__List__Xfoldl__apply__inv__1__1(A,B,C,D)))!=c_List_Osko__List__Xfoldl__apply__inv__1__1(A,B,C,D)|hAPP(A,c_List_Ofoldl(hAPP(c_COMBB(c_COMBB(B,D,C,E),tc_fun(E,D),tc_fun(E,C),C),hAPP(c_COMBB(F,D,tc_fun(E,D),C),A)),G,H,C,E))=c_List_Ofoldl(F,hAPP(A,G),H,D,E).
% 293.94/294.09 ** KEPT (pick-wt=21): 357 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)| -hBOOL(c_in(E,D,C)).
% 293.94/294.09 ** KEPT (pick-wt=51): 358 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Com_Ocom_OWhile(D,E)),c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),c_Hoare__Mirabelle_Opeek__and(C,D,B)),E),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B).
% 293.94/294.09 ** KEPT (pick-wt=54): 359 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Com_Ocom_OBODY(D)),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Com_Ocom_OBODY(D)),E),A,tc_Hoare__Mirabelle_Otriple(B)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Option_Othe(c_Com_Obody(D),tc_Com_Ocom)),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B).
% 293.94/294.09 ** KEPT (pick-wt=42): 360 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Com_Ocom_OBODY(D)),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Option_Othe(c_Com_Obody(D),tc_Com_Ocom)),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B).
% 293.94/294.09 ** KEPT (pick-wt=71): 361 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Com_Ocom_OCond(D,E,F)),G),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B)),F),G),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),c_Hoare__Mirabelle_Opeek__and(C,D,B)),E),G),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B).
% 293.94/294.09 ** KEPT (pick-wt=11): 362 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 293.94/294.09 ** KEPT (pick-wt=12): 363 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(A).
% 293.94/294.09 ** KEPT (pick-wt=30): 364 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))).
% 293.94/294.09 ** KEPT (pick-wt=21): 365 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,C).
% 293.94/294.09 ** KEPT (pick-wt=21): 366 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,C).
% 293.94/294.09 ** KEPT (pick-wt=14): 367 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))=B.
% 293.94/294.09 ** KEPT (pick-wt=13): 368 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 293.94/294.09 ** KEPT (pick-wt=28): 369 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 293.94/294.09 ** KEPT (pick-wt=28): 370 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 293.94/294.09 ** KEPT (pick-wt=16): 371 [] A=B| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(C,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D),B)).
% 293.94/294.09 ** KEPT (pick-wt=21): 372 [] A=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)| -hBOOL(hAPP(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),A)).
% 293.94/294.09 ** KEPT (pick-wt=14): 373 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 293.94/294.09 ** KEPT (pick-wt=13): 374 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 293.94/294.09 ** KEPT (pick-wt=14): 376 [copy,375,flip.2] -class_Orderings_Oorder(A)|c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A).
% 293.94/294.09 ** KEPT (pick-wt=14): 377 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 293.94/294.09 ** KEPT (pick-wt=14): 378 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OInf__class_OInf(A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))=B.
% 293.94/294.09 ** KEPT (pick-wt=21): 379 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(c_in(B,C,D)).
% 293.94/294.09 ** KEPT (pick-wt=60): 380 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),G),C),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=58): 381 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,G,D,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,G,D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),G),C),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=60): 382 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),G),C),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=54): 383 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),E),C),F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=48): 384 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=52): 385 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),E),C),F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=48): 386 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),E),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=54): 387 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),E),C),F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=48): 388 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),E),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=52): 389 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),E),C),F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=48): 390 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),D),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B),C),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 293.94/294.09 ** KEPT (pick-wt=59): 391 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),c_Com_Ocom_OSemi(D,E)),F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),G),E),F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),D),G),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B).
% 293.94/294.09 ** KEPT (pick-wt=24): 392 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,C,tc_Hoare__Mirabelle_Otriple(D)),D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,C,D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(D),tc_bool)),tc_Hoare__Mirabelle_Otriple(D)),D).
% 293.94/294.09 ** KEPT (pick-wt=12): 393 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(D,B,tc_Hoare__Mirabelle_Otriple(C)),C).
% 293.94/294.09 ** KEPT (pick-wt=16): 394 [] 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)).
% 293.94/294.09 ** KEPT (pick-wt=12): 395 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 293.94/294.09 ** KEPT (pick-wt=9): 396 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 293.94/294.09 ** KEPT (pick-wt=20): 397 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),C),D)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),E),F),G)|D=G.
% 293.94/294.09 ** KEPT (pick-wt=20): 398 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),C),D)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),E),F),G)|C=F.
% 293.94/294.09 ** KEPT (pick-wt=20): 399 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),C),D)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),E),F),G)|B=E.
% 293.94/294.09 ** KEPT (pick-wt=27): 400 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E.
% 293.94/294.09 ** KEPT (pick-wt=27): 401 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E.
% 293.94/294.09 ** KEPT (pick-wt=27): 402 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D.
% 293.94/294.09 ** KEPT (pick-wt=27): 403 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D.
% 293.94/294.09 ** KEPT (pick-wt=7): 404 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 293.94/294.09 ** KEPT (pick-wt=14): 405 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 293.94/294.09 ** KEPT (pick-wt=9): 406 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 293.94/294.09 ** KEPT (pick-wt=16): 407 [] 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)).
% 293.94/294.09 ** KEPT (pick-wt=18): 408 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C.
% 293.94/294.09 ** KEPT (pick-wt=20): 409 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C)| -c_Hoare__Mirabelle_Ohoare__deri
% 293.94/294.10 Search stopped in tp_alloc by max_mem option.
% 293.94/294.10 vs(A,c_Set_Oinsert(B,D,tc_Hoare__Mirabelle_Otriple(C)),C).
% 293.94/294.10 ** KEPT (pick-wt=11): 410 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 293.94/294.10 ** KEPT (pick-wt=54): 411 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_P),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b).
% 293.94/294.10 ** KEPT (pick-wt=50): 412 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,A)),hAPP(v_c0,A)),hAPP(v_Q,A)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,A)),hAPP(v_c0,A)),hAPP(v_Q_H,A)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b).
% 293.94/294.10
% 293.94/294.10 Search stopped in tp_alloc by max_mem option.
% 293.94/294.10
% 293.94/294.10 ============ end of search ============
% 293.94/294.10
% 293.94/294.10 -------------- statistics -------------
% 293.94/294.10 clauses given 0
% 293.94/294.10 clauses generated 0
% 293.94/294.10 clauses kept 401
% 293.94/294.10 clauses forward subsumed 56
% 293.94/294.10 clauses back subsumed 0
% 293.94/294.10 Kbytes malloced 11718
% 293.94/294.10
% 293.94/294.10 ----------- times (seconds) -----------
% 293.94/294.10 user CPU time 0.08 (0 hr, 0 min, 0 sec)
% 293.94/294.10 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 293.94/294.10 wall-clock time 294 (0 hr, 4 min, 54 sec)
% 293.94/294.10
% 293.94/294.10 Process 15552 finished Wed Jul 27 06:09:03 2022
% 293.94/294.10 Otter interrupted
% 293.94/294.10 PROOF NOT FOUND
%------------------------------------------------------------------------------