TSTP Solution File: SWV839-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV839-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 : Unsatisfiable 123.10s 123.18s
% Output : Refutation 123.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(295,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('SWV839-1.p',unknown),
[] ).
cnf(448,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSKIP,B,C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C),
file('SWV839-1.p',unknown),
[] ).
cnf(449,plain,
$false,
inference(binary,[status(thm)],[448,295]),
[iquote('binary,448.1,295.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV839-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 05:48:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 122.99/123.15 ----- Otter 3.3f, August 2004 -----
% 122.99/123.15 The process was started by sandbox2 on n018.cluster.edu,
% 122.99/123.15 Wed Jul 27 05:48:01 2022
% 122.99/123.15 The command was "./otter". The process ID is 32606.
% 122.99/123.15
% 122.99/123.15 set(prolog_style_variables).
% 122.99/123.15 set(auto).
% 122.99/123.15 dependent: set(auto1).
% 122.99/123.15 dependent: set(process_input).
% 122.99/123.15 dependent: clear(print_kept).
% 122.99/123.15 dependent: clear(print_new_demod).
% 122.99/123.15 dependent: clear(print_back_demod).
% 122.99/123.15 dependent: clear(print_back_sub).
% 122.99/123.15 dependent: set(control_memory).
% 122.99/123.15 dependent: assign(max_mem, 12000).
% 122.99/123.15 dependent: assign(pick_given_ratio, 4).
% 122.99/123.15 dependent: assign(stats_level, 1).
% 122.99/123.15 dependent: assign(max_seconds, 10800).
% 122.99/123.15 clear(print_given).
% 122.99/123.15
% 122.99/123.15 list(usable).
% 122.99/123.15 0 [] A=A.
% 122.99/123.15 0 [] -class_HOL_Oord(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_f),V_g))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 122.99/123.15 0 [] -class_HOL_Oord(T_b)|c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))|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)).
% 122.99/123.15 0 [] -class_HOL_Oord(T_b)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_g),V_f))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 122.99/123.15 0 [] V_A=V_B|c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,V_B,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)).
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_Ring__and__Field_Oring(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -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))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -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)).
% 122.99/123.15 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))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=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)).
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_Set_Oinsert(V_a,V_B,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a),V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 122.99/123.15 0 [] -c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x))| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,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)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_y))| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a))|V_a=V_b.
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))|V_a=V_b.
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_b,T_a).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_a,T_a).
% 122.99/123.15 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_d,T_a)|c_HOL_Oord__class_Oless(V_c,V_a,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 122.99/123.15 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).
% 122.99/123.15 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 122.99/123.15 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).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 122.99/123.15 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 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).
% 122.99/123.15 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))|c_HOL_Oord__class_Oless(V_k,V_l,T_a).
% 122.99/123.15 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))| -c_HOL_Oord__class_Oless(V_k,V_l,T_a).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 122.99/123.15 0 [] c_The(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=V_a.
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 122.99/123.15 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))| -c_HOL_Oord__class_Oless(V_b,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)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))| -c_HOL_Oord__class_Oless(V_c,V_a,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)).
% 122.99/123.15 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 122.99/123.15 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)|c_HOL_Oord__class_Oless(V_k,V_l,T_a).
% 122.99/123.15 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)| -c_HOL_Oord__class_Oless(V_k,V_l,T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b),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).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 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))| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 122.99/123.15 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))| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=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)).
% 122.99/123.15 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).
% 122.99/123.15 0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,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).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a).
% 122.99/123.15 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 122.99/123.15 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)|c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 122.99/123.15 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)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 122.99/123.15 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))|c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 122.99/123.15 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))| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 122.99/123.15 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_Ocomplete__lattice__axioms(c_Complete__Lattice_OInf__class_OInf(T_a),c_Complete__Lattice_OSup__class_OSup(T_a),c_lesse_quals(T_a),T_a).
% 122.99/123.15 0 [] -class_HOL_Ouminus(t_b)|hAPP(c_HOL_Ouminus__class_Ouminus(v_A,tc_fun(t_a,t_b)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(v_A,v_x),t_b).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b).
% 122.99/123.15 0 [] c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,tc_nat)=c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat)|hBOOL(c_in(V_a,V_A,T_a)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_B,T_a)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 122.99/123.15 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,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(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),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).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 122.99/123.15 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_B,T_a)).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),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)).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),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)).
% 122.99/123.15 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))).
% 122.99/123.15 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 122.99/123.15 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 122.99/123.15 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 122.99/123.15 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 122.99/123.15 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 122.99/123.15 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 122.99/123.15 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 122.99/123.15 0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 122.99/123.15 0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 122.99/123.15 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))=c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a).
% 122.99/123.15 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 122.99/123.15 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 122.99/123.15 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 122.99/123.15 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.
% 122.99/123.15 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)).
% 122.99/123.15 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)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool))))| -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)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool))))| -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)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A)).
% 122.99/123.15 0 [] 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)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),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)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),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)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_A)).
% 122.99/123.15 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 122.99/123.15 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 122.99/123.15 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)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B)).
% 122.99/123.15 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)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B))| -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))).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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))).
% 122.99/123.15 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))).
% 122.99/123.15 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)).
% 122.99/123.15 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))).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),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)).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 122.99/123.15 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),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)).
% 122.99/123.15 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),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b)).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a)).
% 122.99/123.15 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),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)).
% 122.99/123.15 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),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|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)).
% 122.99/123.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|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)).
% 122.99/123.15 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Ominus__class_Ominus(V_b,V_a,T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 122.99/123.15 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 122.99/123.15 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 122.99/123.15 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 122.99/123.15 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 122.99/123.15 0 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|hBOOL(c_in(V_x,V_B,T_a)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_HOL_Ominus(T_b)|hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 122.99/123.15 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 122.99/123.15 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 122.99/123.15 0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 122.99/123.15 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 122.99/123.15 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 122.99/123.15 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 122.99/123.15 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 122.99/123.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 122.99/123.15 0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 122.99/123.15 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).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 122.99/123.15 0 [] -hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)).
% 122.99/123.15 0 [] hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_A,T_a)).
% 122.99/123.15 0 [] c_Collect(V_P,T_a)=V_P.
% 122.99/123.15 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 122.99/123.15 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 122.99/123.15 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))=c_Lattices_Oupper__semilattice__class_Osup(V_a,hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A),T_a).
% 122.99/123.15 0 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 122.99/123.15 0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 122.99/123.15 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 122.99/123.15 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 122.99/123.15 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 122.99/123.15 0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 122.99/123.15 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=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)).
% 122.99/123.15 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 122.99/123.15 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 122.99/123.15 0 [] c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))!=c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))|V_A=V_B.
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] -class_HOL_Ouminus(T_b)|hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b).
% 122.99/123.15 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 122.99/123.15 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 122.99/123.15 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_i),V_n)).
% 122.99/123.15 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_The(hAPP(c_fe_qual(T_a),V_x),T_a)=V_x.
% 122.99/123.15 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)).
% 122.99/123.15 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))).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 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)).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 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.
% 122.99/123.15 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))).
% 122.99/123.15 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).
% 122.99/123.15 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)).
% 122.99/123.15 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.
% 122.99/123.15 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.
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 122.99/123.15 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)).
% 122.99/123.15 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.
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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.
% 122.99/123.15 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.
% 122.99/123.15 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,V_A,T_a).
% 122.99/123.15 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).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_Set_Oinsert(V_a,V_A,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)).
% 122.99/123.15 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.
% 122.99/123.15 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_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))).
% 122.99/123.15 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_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)))).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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))).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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))).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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))).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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))).
% 122.99/123.15 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)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B)).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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).
% 122.99/123.15 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))).
% 122.99/123.15 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).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 122.99/123.15 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_A)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_x),V_x)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 122.99/123.15 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)))).
% 122.99/123.15 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)))).
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun2=V_fun2_H.
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_com=V_com_H.
% 122.99/123.15 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun1=V_fun1_H.
% 122.99/123.15 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.
% 122.99/123.15 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.
% 122.99/123.15 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.
% 122.99/123.15 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.
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 122.99/123.15 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).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oinsert(V_a,V_B,T_a))).
% 122.99/123.15 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 122.99/123.15 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).
% 122.99/123.15 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 122.99/123.15 0 [] -class_Orderings_Obot(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 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).
% 122.99/123.15 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).
% 122.99/123.15 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.
% 122.99/123.15 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 122.99/123.15 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)).
% 122.99/123.15 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)).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_Ga)).
% 122.99/123.15 0 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.15 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 122.99/123.15 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 122.99/123.15 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 122.99/123.15 0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 122.99/123.15 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).
% 122.99/123.15 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 122.99/123.15 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 122.99/123.15 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 122.99/123.15 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 122.99/123.15 0 [] class_HOL_Ouminus(tc_fun(T_2,T_1))| -class_HOL_Ouminus(T_1).
% 122.99/123.15 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 122.99/123.15 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 122.99/123.15 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 122.99/123.15 0 [] class_Orderings_Opreorder(tc_nat).
% 122.99/123.15 0 [] class_Orderings_Olinorder(tc_nat).
% 122.99/123.15 0 [] class_Lattices_Olattice(tc_nat).
% 122.99/123.15 0 [] class_Orderings_Oorder(tc_nat).
% 122.99/123.15 0 [] class_Orderings_Obot(tc_nat).
% 122.99/123.15 0 [] class_HOL_Ominus(tc_nat).
% 122.99/123.15 0 [] class_HOL_Oord(tc_nat).
% 122.99/123.15 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 122.99/123.15 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 122.99/123.15 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 122.99/123.15 0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 122.99/123.15 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 122.99/123.15 0 [] class_Orderings_Opreorder(tc_bool).
% 122.99/123.15 0 [] class_Lattices_Olattice(tc_bool).
% 122.99/123.15 0 [] class_Orderings_Oorder(tc_bool).
% 122.99/123.15 0 [] class_Orderings_Obot(tc_bool).
% 122.99/123.15 0 [] class_HOL_Ouminus(tc_bool).
% 122.99/123.15 0 [] class_HOL_Ominus(tc_bool).
% 122.99/123.15 0 [] class_HOL_Oord(tc_bool).
% 122.99/123.15 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 122.99/123.15 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 122.99/123.15 end_of_list.
% 122.99/123.15
% 122.99/123.15 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 122.99/123.15
% 122.99/123.15 This ia a non-Horn set with equality. The strategy will be
% 122.99/123.15 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 122.99/123.15 deletion, with positive clauses in sos and nonpositive
% 122.99/123.15 clauses in usable.
% 122.99/123.15
% 122.99/123.15 dependent: set(knuth_bendix).
% 122.99/123.15 dependent: set(anl_eq).
% 122.99/123.15 dependent: set(para_from).
% 122.99/123.15 dependent: set(para_into).
% 122.99/123.15 dependent: clear(para_from_right).
% 122.99/123.15 dependent: clear(para_into_right).
% 122.99/123.15 dependent: set(para_from_vars).
% 122.99/123.15 dependent: set(eq_units_both_ways).
% 122.99/123.15 dependent: set(dynamic_demod_all).
% 122.99/123.15 dependent: set(dynamic_demod).
% 122.99/123.15 dependent: set(order_eq).
% 122.99/123.15 dependent: set(back_demod).
% 122.99/123.15 dependent: set(lrpo).
% 122.99/123.15 dependent: set(hyper_res).
% 122.99/123.15 dependent: set(unit_deletion).
% 122.99/123.15 dependent: set(factor).
% 122.99/123.15
% 122.99/123.15 ------------> process usable:
% 122.99/123.15 ** KEPT (pick-wt=17): 1 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,A)),C),D))| -c_HOL_Oord__class_Oless(C,D,tc_fun(B,A)).
% 122.99/123.15 ** KEPT (pick-wt=26): 2 [] -class_HOL_Oord(A)|c_HOL_Oord__class_Oless(B,C,tc_fun(D,A))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,A)),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,A)),B),C)).
% 122.99/123.15 ** KEPT (pick-wt=17): 3 [] -class_HOL_Oord(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,A)),C),D))| -c_HOL_Oord__class_Oless(D,C,tc_fun(B,A)).
% 122.99/123.15 ** KEPT (pick-wt=18): 4 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 122.99/123.15 Following clause subsumed by 4 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))|A=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 122.99/123.15 ** KEPT (pick-wt=15): 5 [] 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).
% 122.99/123.15 ** KEPT (pick-wt=21): 6 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),D)).
% 122.99/123.15 ** KEPT (pick-wt=21): 7 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)).
% 122.99/123.15 Following clause subsumed by 5 during input processing: 0 [] 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)).
% 122.99/123.15 ** KEPT (pick-wt=15): 8 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -c_HOL_Oord__class_Oless(B,C,tc_fun(A,tc_bool)).
% 122.99/123.15 ** KEPT (pick-wt=37): 9 [] -class_Ring__and__Field_Oring(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,E,A),hAPP(B,D),A)| -hBOOL(c_in(D,C,E))| -c_Finite__Set_Ofinite(C,E).
% 122.99/123.15 ** KEPT (pick-wt=37): 10 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,E,A),hAPP(B,D),A)| -hBOOL(c_in(D,C,E))| -c_Finite__Set_Ofinite(C,E).
% 122.99/123.15 ** KEPT (pick-wt=29): 11 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),A),C))|hBOOL(c_in(B,A,D))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 122.99/123.15 ** KEPT (pick-wt=28): 12 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),A),C))|hBOOL(c_in(B,A,D))|hBOOL(c_in(B,C,D)).
% 122.99/123.15 ** KEPT (pick-wt=28): 13 [] 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))| -c_HOL_Oord__class_Oless(B,c_Set_Oinsert(D,C,A),tc_fun(A,tc_bool)).
% 122.99/123.15 ** KEPT (pick-wt=33): 14 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A),tc_fun(A,tc_bool))=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)).
% 122.99/123.15 ** KEPT (pick-wt=9): 15 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 122.99/123.15 ** KEPT (pick-wt=9): 16 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 122.99/123.15 ** KEPT (pick-wt=13): 17 [] A=B| -c_Finite__Set_Ofold__graph(C,B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),A,D,E).
% 122.99/123.15 ** KEPT (pick-wt=9): 18 [] -c_HOL_Oord__class_Oless(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 122.99/123.15 ** KEPT (pick-wt=13): 19 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.15 ** KEPT (pick-wt=13): 20 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 122.99/123.15 ** KEPT (pick-wt=13): 21 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.15 Following clause subsumed by 20 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.15 Following clause subsumed by 21 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 122.99/123.15 Following clause subsumed by 20 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 122.99/123.15 Following clause subsumed by 21 during input processing: 0 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B))| -c_HOL_Oord__class_Oless(B,B,A).
% 122.99/123.15 Following clause subsumed by 20 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 122.99/123.15 ** KEPT (pick-wt=20): 22 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.15 ** KEPT (pick-wt=13): 23 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.15 ** KEPT (pick-wt=13): 24 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.15 ** KEPT (pick-wt=17): 25 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -c_HOL_Oord__class_Oless(D,C,A).
% 122.99/123.15 ** KEPT (pick-wt=17): 26 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C)).
% 122.99/123.15 ** KEPT (pick-wt=17): 27 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 122.99/123.15 ** KEPT (pick-wt=17): 28 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C))| -c_HOL_Oord__class_Oless(B,D,A).
% 122.99/123.15 ** KEPT (pick-wt=16): 29 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.15 Following clause subsumed by 29 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|C=B.
% 122.99/123.15 ** KEPT (pick-wt=16): 30 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.15 Following clause subsumed by 30 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.15 Following clause subsumed by 30 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.15 Following clause subsumed by 30 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|B=C.
% 122.99/123.15 ** KEPT (pick-wt=16): 31 [] -class_Orderings_Olinorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.15 Following clause subsumed by 31 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.15 ** KEPT (pick-wt=14): 32 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 122.99/123.15 Following clause subsumed by 32 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 122.99/123.15 ** KEPT (pick-wt=14): 33 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 122.99/123.15 Following clause subsumed by 33 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 122.99/123.15 ** KEPT (pick-wt=13): 34 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 122.99/123.15 ** KEPT (pick-wt=13): 35 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.15 ** KEPT (pick-wt=5): 36 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 122.99/123.15 ** KEPT (pick-wt=29): 37 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(D,E,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),E),B))| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(E,B,A),c_SetInterval_Oord__class_OatLeastAtMost(D,C,A),tc_fun(A,tc_bool)).
% 122.99/123.15 ** KEPT (pick-wt=28): 38 [] 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).
% 122.99/123.15 ** KEPT (pick-wt=14): 39 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 122.99/123.15 ** KEPT (pick-wt=16): 40 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool)).
% 122.99/123.15 ** KEPT (pick-wt=18): 41 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)).
% 122.99/123.15 ** KEPT (pick-wt=14): 42 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 122.99/123.15 ** KEPT (pick-wt=10): 43 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofold__graph(C,D,A,E,B,F).
% 122.99/123.15 ** KEPT (pick-wt=15): 44 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.15 ** KEPT (pick-wt=15): 45 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.15 ** KEPT (pick-wt=11): 46 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 122.99/123.15 ** KEPT (pick-wt=14): 47 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B).
% 122.99/123.15 Following clause subsumed by 46 during input processing: 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 122.99/123.15 ** KEPT (pick-wt=14): 48 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 122.99/123.15 Following clause subsumed by 48 during input processing: 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 122.99/123.15 ** KEPT (pick-wt=11): 49 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 122.99/123.15 ** KEPT (pick-wt=11): 50 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 122.99/123.16 ** KEPT (pick-wt=14): 51 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.16 ** KEPT (pick-wt=14): 52 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 122.99/123.16 ** KEPT (pick-wt=6): 53 [] -c_HOL_Oord__class_Oless(A,A,tc_fun(B,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=6): 54 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 122.99/123.16 ** KEPT (pick-wt=6): 55 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 122.99/123.16 ** KEPT (pick-wt=6): 56 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 122.99/123.16 ** KEPT (pick-wt=39): 57 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),E))| -c_HOL_Oord__class_Oless(C,E,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B)).
% 122.99/123.16 ** KEPT (pick-wt=39): 58 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),E))| -c_HOL_Oord__class_Oless(D,B,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B)).
% 122.99/123.16 ** KEPT (pick-wt=13): 59 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 122.99/123.16 ** KEPT (pick-wt=13): 60 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.16 Following clause subsumed by 60 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 122.99/123.16 Following clause subsumed by 60 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.16 Following clause subsumed by 60 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.16 ** KEPT (pick-wt=15): 61 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=15): 62 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=19): 63 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=19): 64 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,E,A).
% 122.99/123.16 ** KEPT (pick-wt=10): 65 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.16 ** KEPT (pick-wt=10): 66 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.16 ** KEPT (pick-wt=10): 67 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.16 Following clause subsumed by 67 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.16 ** KEPT (pick-wt=37): 68 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,D,tc_fun(E,tc_bool)),E,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,E,A),c_Finite__Set_Osetsum(B,D,E,A),A)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(E,tc_bool)),D),C))| -c_Finite__Set_Ofinite(C,E).
% 122.99/123.16 ** KEPT (pick-wt=18): 69 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=26): 70 [] 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)).
% 122.99/123.16 ** KEPT (pick-wt=20): 71 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -hBOOL(c_in(D,B,C))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=20): 72 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,C,D))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=28): 73 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B))| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=28): 74 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=21): 75 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),tc_fun(A,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=28): 76 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),E))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.16 ** KEPT (pick-wt=33): 77 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A),tc_fun(A,tc_bool))=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)).
% 122.99/123.16 ** KEPT (pick-wt=22): 78 [] 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).
% 122.99/123.16 ** KEPT (pick-wt=32): 79 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)=c_Finite__Set_Osetsum(B,C,E,A)|hBOOL(c_in(D,C,E))| -c_Finite__Set_Ofinite(C,E).
% 122.99/123.16 ** KEPT (pick-wt=15): 80 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_HOL_Oord__class_Oless(C,B,A).
% 122.99/123.16 ** KEPT (pick-wt=18): 81 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=19): 82 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)),C).
% 122.99/123.16 ** KEPT (pick-wt=19): 83 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),D).
% 122.99/123.16 ** KEPT (pick-wt=15): 84 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=15): 85 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=15): 86 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=15): 87 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_HOL_Oord__class_Oless(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=10): 88 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__axioms(c_Complete__Lattice_OInf__class_OInf(A),c_Complete__Lattice_OSup__class_OSup(A),c_lesse_quals(A),A).
% 122.99/123.16 ** KEPT (pick-wt=15): 89 [] -class_HOL_Ouminus(t_b)|hAPP(c_HOL_Ouminus__class_Ouminus(v_A,tc_fun(t_a,t_b)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(v_A,v_x),t_b).
% 122.99/123.16 ** KEPT (pick-wt=19): 90 [] -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).
% 122.99/123.16 ** KEPT (pick-wt=19): 91 [] -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).
% 122.99/123.16 ** KEPT (pick-wt=18): 92 [] -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).
% 122.99/123.16 ** KEPT (pick-wt=18): 93 [] -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).
% 122.99/123.16 ** KEPT (pick-wt=22): 94 [] 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).
% 122.99/123.16 ** KEPT (pick-wt=34): 95 [] c_Finite__Set_Ofold__graph(A,B,C,hAPP(hAPP(A,D),E),F,G)| -hBOOL(c_in(D,C,F))| -c_Finite__Set_Ofold__graph(A,B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool)),F),tc_fun(F,tc_bool)),E,F,G).
% 122.99/123.16 ** KEPT (pick-wt=37): 96 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=36): 97 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|hBOOL(c_in(B,C,D)).
% 122.99/123.16 ** KEPT (pick-wt=36): 98 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -hBOOL(c_in(B,A,C))|hBOOL(c_in(B,D,C))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=34): 99 [] c_Nitpick_Ofold__graph_H(A,B,C,hAPP(hAPP(A,D),E),F,G)| -c_Nitpick_Ofold__graph_H(A,B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool)),F),tc_fun(F,tc_bool)),E,F,G)| -hBOOL(c_in(D,C,F)).
% 122.99/123.16 ** KEPT (pick-wt=41): 100 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),A),C))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=31): 101 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=31): 102 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=59): 103 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(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),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).
% 122.99/123.16 ** KEPT (pick-wt=29): 104 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.16 ** KEPT (pick-wt=40): 105 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),A),C))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|hBOOL(c_in(B,C,D)).
% 122.99/123.16 ** KEPT (pick-wt=26): 106 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 122.99/123.16 Following clause subsumed by 106 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 122.99/123.16 ** KEPT (pick-wt=12): 107 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,B,A))).
% 122.99/123.16 ** KEPT (pick-wt=12): 108 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(B,C,A))).
% 122.99/123.16 ** KEPT (pick-wt=20): 109 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ouminus__class_Ouminus(B,A))).
% 122.99/123.16 Following clause subsumed by 109 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ouminus__class_Ouminus(B,A))).
% 122.99/123.16 ** KEPT (pick-wt=20): 110 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(C,A)),B)).
% 122.99/123.16 Following clause subsumed by 110 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(C,A)),B)).
% 122.99/123.16 ** KEPT (pick-wt=29): 111 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.16 ** KEPT (pick-wt=9): 112 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 122.99/123.16 ** KEPT (pick-wt=9): 113 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 122.99/123.16 ** KEPT (pick-wt=13): 114 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 122.99/123.16 ** KEPT (pick-wt=13): 115 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 122.99/123.16 ** KEPT (pick-wt=18): 116 [] 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).
% 122.99/123.16 ** KEPT (pick-wt=18): 117 [] 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).
% 122.99/123.16 ** KEPT (pick-wt=12): 118 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 122.99/123.16 ** KEPT (pick-wt=8): 119 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 122.99/123.16 Following clause subsumed by 119 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 122.99/123.16 Following clause subsumed by 119 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 122.99/123.16 Following clause subsumed by 119 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 122.99/123.16 ** KEPT (pick-wt=12): 120 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 122.99/123.16 ** KEPT (pick-wt=10): 121 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 122.99/123.16 Following clause subsumed by 119 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 122.99/123.16 ** KEPT (pick-wt=17): 122 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=17): 123 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 122.99/123.16 ** KEPT (pick-wt=22): 124 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -hBOOL(c_in(A,B,C)).
% 122.99/123.16 ** KEPT (pick-wt=20): 125 [] -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))=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=13): 126 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 122.99/123.16 Following clause subsumed by 126 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 122.99/123.16 ** KEPT (pick-wt=24): 127 [] 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).
% 122.99/123.16 ** KEPT (pick-wt=24): 128 [] 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).
% 122.99/123.16 ** KEPT (pick-wt=16): 129 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 122.99/123.16 ** KEPT (pick-wt=22): 130 [] 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.
% 122.99/123.16 ** KEPT (pick-wt=11): 131 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 122.99/123.16 ** KEPT (pick-wt=31): 132 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),C),A)).
% 122.99/123.16 ** KEPT (pick-wt=19): 133 [] 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)).
% 122.99/123.16 Following clause subsumed by 133 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)).
% 122.99/123.16 Following clause subsumed by 133 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)).
% 122.99/123.16 Following clause subsumed by 133 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)).
% 122.99/123.16 ** KEPT (pick-wt=23): 134 [] 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_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(A,tc_bool))),C)).
% 122.99/123.16 ** KEPT (pick-wt=23): 135 [] 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_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(A,tc_bool))),C)).
% 122.99/123.16 ** KEPT (pick-wt=37): 136 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(A,tc_bool))))| -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)).
% 122.99/123.16 ** KEPT (pick-wt=17): 137 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 122.99/123.16 ** KEPT (pick-wt=17): 138 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),B),A)).
% 122.99/123.16 ** KEPT (pick-wt=17): 139 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 122.99/123.16 ** KEPT (pick-wt=37): 140 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,E,tc_fun(A,tc_bool))))| -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)).
% 122.99/123.16 ** KEPT (pick-wt=26): 141 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool))),c_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 122.99/123.16 ** KEPT (pick-wt=26): 142 [] 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_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool))),c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool)))).
% 122.99/123.16 Following clause subsumed by 141 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool))),c_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 122.99/123.16 ** KEPT (pick-wt=32): 143 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),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)).
% 122.99/123.16 Following clause subsumed by 143 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),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)).
% 122.99/123.16 ** KEPT (pick-wt=5): 145 [copy,144,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 122.99/123.16 Following clause subsumed by 145 during input processing: 0 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 122.99/123.16 ** KEPT (pick-wt=37): 146 [] 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)),c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))),D)).
% 122.99/123.16 Following clause subsumed by 146 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)),c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))),D)).
% 122.99/123.16 ** KEPT (pick-wt=37): 147 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))),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))).
% 122.99/123.16 ** KEPT (pick-wt=18): 148 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=18): 149 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=18): 150 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=18): 151 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=18): 152 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=24): 153 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=31): 154 [] -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))).
% 122.99/123.16 ** KEPT (pick-wt=31): 155 [] -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))).
% 122.99/123.16 ** KEPT (pick-wt=31): 156 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=31): 157 [] -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))).
% 122.99/123.16 ** KEPT (pick-wt=12): 158 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,B,A))).
% 122.99/123.16 ** KEPT (pick-wt=12): 159 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(B,C,A))).
% 122.99/123.16 Following clause subsumed by 106 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 122.99/123.16 ** KEPT (pick-wt=20): 160 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(C,A)),c_HOL_Ouminus__class_Ouminus(B,A))).
% 122.99/123.16 ** KEPT (pick-wt=20): 161 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 122.99/123.16 ** KEPT (pick-wt=15): 162 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 122.99/123.16 ** KEPT (pick-wt=15): 163 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.16 ** KEPT (pick-wt=15): 164 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.16 ** KEPT (pick-wt=19): 165 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(D,B,A)),C)).
% 122.99/123.16 ** KEPT (pick-wt=19): 166 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A)),C)).
% 122.99/123.16 ** KEPT (pick-wt=19): 167 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 122.99/123.16 ** KEPT (pick-wt=19): 168 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 122.99/123.16 Following clause subsumed by 165 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),c_Lattices_Oupper__semilattice__class_Osup(D,B,A)),C)).
% 122.99/123.16 Following clause subsumed by 166 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),c_Lattices_Oupper__semilattice__class_Osup(B,D,A)),C)).
% 122.99/123.16 ** KEPT (pick-wt=25): 169 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),E),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 122.99/123.16 ** KEPT (pick-wt=25): 170 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),E),D)).
% 122.99/123.16 ** KEPT (pick-wt=13): 171 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(C,B,A).
% 122.99/123.16 ** KEPT (pick-wt=9): 172 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 122.99/123.16 Following clause subsumed by 172 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 122.99/123.16 Following clause subsumed by 172 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 122.99/123.16 ** KEPT (pick-wt=9): 173 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 122.99/123.16 Following clause subsumed by 172 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 122.99/123.16 ** KEPT (pick-wt=28): 174 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)).
% 122.99/123.16 ** KEPT (pick-wt=28): 175 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool)))).
% 122.99/123.16 ** KEPT (pick-wt=21): 176 [] 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)).
% 122.99/123.16 Following clause subsumed by 176 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)).
% 122.99/123.16 ** KEPT (pick-wt=14): 177 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=14): 178 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 122.99/123.16 ** KEPT (pick-wt=11): 179 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 122.99/123.16 ** KEPT (pick-wt=11): 180 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 122.99/123.16 ** KEPT (pick-wt=23): 181 [] 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).
% 122.99/123.16 ** KEPT (pick-wt=23): 182 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(c_in(D,C,E))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 122.99/123.16 ** KEPT (pick-wt=19): 183 [] -class_HOL_Ominus(A)|hAPP(c_HOL_Ominus__class_Ominus(B,C,tc_fun(t_a,A)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(B,v_x),hAPP(C,v_x),A).
% 122.99/123.16 ** KEPT (pick-wt=23): 184 [] 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)).
% 122.99/123.16 Following clause subsumed by 184 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)).
% 122.99/123.16 ** KEPT (pick-wt=20): 185 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 122.99/123.16 Following clause subsumed by 185 during input processing: 0 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 122.99/123.16 ** KEPT (pick-wt=11): 186 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 122.99/123.16 ** KEPT (pick-wt=11): 187 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 122.99/123.16 ** KEPT (pick-wt=22): 188 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 122.99/123.16 ** KEPT (pick-wt=17): 189 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 122.99/123.16 ** KEPT (pick-wt=17): 190 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 122.99/123.16 ** KEPT (pick-wt=17): 191 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 122.99/123.16 ** KEPT (pick-wt=17): 192 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 122.99/123.16 ** KEPT (pick-wt=14): 193 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 122.99/123.16 ** KEPT (pick-wt=14): 194 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 122.99/123.16 ** KEPT (pick-wt=9): 195 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 122.99/123.16 ** KEPT (pick-wt=9): 196 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 122.99/123.16 ** KEPT (pick-wt=8): 197 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 122.99/123.16 ** KEPT (pick-wt=19): 198 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 122.99/123.16 ** KEPT (pick-wt=20): 199 [] -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)).
% 122.99/123.16 ** KEPT (pick-wt=22): 200 [] 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)).
% 122.99/123.16 ** KEPT (pick-wt=21): 201 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 122.99/123.16 ** KEPT (pick-wt=14): 202 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C)).
% 122.99/123.16 ** KEPT (pick-wt=10): 203 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 122.99/123.16 ** KEPT (pick-wt=10): 204 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 122.99/123.16 ** KEPT (pick-wt=17): 205 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(c_Complete__Lattice_OSup__class_OSup(A),c_Set_Oinsert(B,C,A))=c_Lattices_Oupper__semilattice__class_Osup(B,hAPP(c_Complete__Lattice_OSup__class_OSup(A),C),A).
% 122.99/123.16 ** KEPT (pick-wt=25): 206 [] 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)).
% 122.99/123.16 ** KEPT (pick-wt=15): 207 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 122.99/123.16 ** KEPT (pick-wt=15): 208 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 122.99/123.16 ** KEPT (pick-wt=31): 209 [] 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)).
% 122.99/123.17 ** KEPT (pick-wt=27): 210 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 122.99/123.17 ** KEPT (pick-wt=17): 211 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 122.99/123.17 ** KEPT (pick-wt=13): 212 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 122.99/123.17 ** KEPT (pick-wt=13): 213 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 122.99/123.17 ** KEPT (pick-wt=20): 214 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C)).
% 122.99/123.17 ** KEPT (pick-wt=33): 215 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),tc_fun(A,tc_bool))=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)).
% 122.99/123.17 ** KEPT (pick-wt=25): 216 [] 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)).
% 122.99/123.17 ** KEPT (pick-wt=33): 217 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),tc_fun(A,tc_bool))=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)).
% 122.99/123.17 ** KEPT (pick-wt=12): 218 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 122.99/123.17 ** KEPT (pick-wt=12): 219 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 122.99/123.17 ** KEPT (pick-wt=14): 220 [] c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool))!=c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool))|A=C.
% 122.99/123.17 ** KEPT (pick-wt=17): 221 [] -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)).
% 122.99/123.17 ** KEPT (pick-wt=15): 222 [] -class_HOL_Ouminus(A)|hAPP(c_HOL_Ouminus__class_Ouminus(B,tc_fun(t_a,A)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(B,v_x),A).
% 122.99/123.17 ** KEPT (pick-wt=15): 223 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 122.99/123.17 ** KEPT (pick-wt=15): 224 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 122.99/123.17 ** KEPT (pick-wt=26): 225 [] -class_Orderings_Olinorder(A)|c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastLessThan(B,D,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(D,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 122.99/123.17 ** KEPT (pick-wt=17): 226 [] -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)).
% 122.99/123.17 ** KEPT (pick-wt=31): 227 [] -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))).
% 122.99/123.17 ** KEPT (pick-wt=11): 228 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 122.99/123.17 ** KEPT (pick-wt=12): 229 [] -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).
% 122.99/123.17 ** KEPT (pick-wt=21): 230 [] 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).
% 122.99/123.17 ** KEPT (pick-wt=21): 231 [] 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).
% 122.99/123.17 ** KEPT (pick-wt=14): 232 [] -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.
% 122.99/123.17 ** KEPT (pick-wt=13): 233 [] -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.
% 122.99/123.17 ** KEPT (pick-wt=28): 234 [] 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).
% 122.99/123.17 ** KEPT (pick-wt=28): 235 [] 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).
% 122.99/123.17 ** KEPT (pick-wt=16): 236 [] 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)).
% 122.99/123.17 ** KEPT (pick-wt=21): 237 [] 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)).
% 122.99/123.17 ** KEPT (pick-wt=14): 238 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 122.99/123.17 ** KEPT (pick-wt=13): 239 [] -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.
% 122.99/123.17 ** KEPT (pick-wt=14): 241 [copy,240,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).
% 122.99/123.17 ** KEPT (pick-wt=14): 242 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 122.99/123.17 ** KEPT (pick-wt=14): 243 [] -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.
% 122.99/123.17 ** KEPT (pick-wt=19): 244 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)))).
% 122.99/123.17 ** KEPT (pick-wt=26): 245 [] 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)).
% 122.99/123.17 ** KEPT (pick-wt=17): 246 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),c_Set_Oinsert(A,D,C)),B)).
% 122.99/123.17 ** KEPT (pick-wt=26): 247 [] 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)).
% 122.99/123.17 ** KEPT (pick-wt=26): 248 [] 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))).
% 122.99/123.17 Following clause subsumed by 247 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)).
% 122.99/123.17 Following clause subsumed by 248 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)).
% 122.99/123.17 ** KEPT (pick-wt=54): 249 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.17 ** KEPT (pick-wt=52): 250 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.17 ** KEPT (pick-wt=54): 251 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.17 ** KEPT (pick-wt=48): 252 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.17 ** KEPT (pick-wt=42): 253 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.17 ** KEPT (pick-wt=46): 254 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.17 ** KEPT (pick-wt=42): 255 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 122.99/123.17 ** KEPT (pick-wt=48): 256 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 123.10/123.17 ** KEPT (pick-wt=42): 257 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 123.10/123.17 ** KEPT (pick-wt=46): 258 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 123.10/123.17 ** KEPT (pick-wt=42): 259 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),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(c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 123.10/123.17 ** KEPT (pick-wt=41): 260 [] 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)),c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))),D)).
% 123.10/123.17 ** KEPT (pick-wt=50): 261 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSemi(C,D),E,F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(F),tc_bool)),tc_Hoare__Mirabelle_Otriple(F)),F)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(G,D,E,F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(F),tc_bool)),tc_Hoare__Mirabelle_Otriple(F)),F)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,G,F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(F),tc_bool)),tc_Hoare__Mirabelle_Otriple(F)),F).
% 123.10/123.17 ** KEPT (pick-wt=16): 262 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 123.10/123.17 ** KEPT (pick-wt=24): 263 [] 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)).
% 123.10/123.17 ** KEPT (pick-wt=24): 264 [] 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).
% 123.10/123.17 ** KEPT (pick-wt=30): 265 [] 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))).
% 123.10/123.17 ** KEPT (pick-wt=18): 266 [] 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).
% 123.10/123.17 ** KEPT (pick-wt=17): 267 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),A))| -hBOOL(hAPP(D,B)).
% 123.10/123.17 ** KEPT (pick-wt=9): 268 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 123.10/123.17 ** KEPT (pick-wt=9): 269 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 123.10/123.17 Following clause subsumed by 267 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),C),A)).
% 123.10/123.17 ** KEPT (pick-wt=27): 270 [] 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)).
% 123.10/123.17 ** KEPT (pick-wt=23): 271 [] -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)).
% 123.10/123.17 ** KEPT (pick-wt=23): 272 [] -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)).
% 123.10/123.17 ** KEPT (pick-wt=12): 273 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 123.10/123.17 ** KEPT (pick-wt=9): 274 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 123.10/123.17 ** KEPT (pick-wt=18): 275 [] 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)))).
% 123.10/123.17 ** KEPT (pick-wt=14): 276 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 123.10/123.17 ** KEPT (pick-wt=14): 277 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 123.10/123.17 ** KEPT (pick-wt=14): 278 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 123.10/123.17 ** KEPT (pick-wt=27): 279 [] 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.
% 123.10/123.17 ** KEPT (pick-wt=27): 280 [] 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.
% 123.10/123.17 ** KEPT (pick-wt=27): 281 [] 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.
% 123.10/123.17 ** KEPT (pick-wt=27): 282 [] 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.
% 123.10/123.17 ** KEPT (pick-wt=19): 283 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 123.10/123.17 Following clause subsumed by 283 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)).
% 123.10/123.17 Following clause subsumed by 283 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)).
% 123.10/123.17 ** KEPT (pick-wt=21): 284 [] 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)).
% 123.10/123.17 Following clause subsumed by 284 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)).
% 123.10/123.17 ** KEPT (pick-wt=7): 285 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 123.10/123.17 ** KEPT (pick-wt=14): 286 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 123.10/123.17 ** KEPT (pick-wt=9): 287 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=10): 288 [] -class_Orderings_Obot(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Orderings_Obot__class_Obot(A)),B)).
% 123.10/123.17 ** KEPT (pick-wt=21): 289 [] 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)).
% 123.10/123.17 ** KEPT (pick-wt=21): 290 [] 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)).
% 123.10/123.17 ** KEPT (pick-wt=18): 291 [] 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.
% 123.10/123.17 ** KEPT (pick-wt=11): 292 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 123.10/123.17 ** KEPT (pick-wt=14): 293 [] 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)).
% 123.10/123.17 ** KEPT (pick-wt=22): 294 [] -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)).
% 123.10/123.17 ** KEPT (pick-wt=16): 295 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a).
% 123.10/123.17 ** KEPT (pick-wt=6): 296 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 123.10/123.17 ** KEPT (pick-wt=6): 297 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 123.10/123.17 ** KEPT (pick-wt=6): 298 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 123.10/123.17 ** KEPT (pick-wt=6): 299 [] class_Lattices_Oboolean__algebra(tc_fun(A,B))| -class_Lattices_Oboolean__algebra(B).
% 123.10/123.17 ** KEPT (pick-wt=8): 300 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 123.10/123.17 ** KEPT (pick-wt=6): 301 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 123.10/123.17 ** KEPT (pick-wt=6): 302 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 123.10/123.17 ** KEPT (pick-wt=6): 303 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 123.10/123.17 ** KEPT (pick-wt=6): 304 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 123.10/123.17 ** KEPT (pick-wt=6): 305 [] class_HOL_Ouminus(tc_fun(A,B))| -class_HOL_Ouminus(B).
% 123.10/123.17 ** KEPT (pick-wt=6): 306 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 123.10/123.17 ** KEPT (pick-wt=6): 307 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 123.10/123.17 ** KEPT (pick-wt=10): 308 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 123.10/123.17 222 back subsumes 89.
% 123.10/123.17 Following clause subsumed by 287 during input processing: 0 [copy,274,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 123.10/123.17 Following clause subsumed by 274 during input processing: 0 [copy,287,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 123.10/123.17 287 back subsumes 242.
% 123.10/123.17 289 back subsumes 260.
% 123.10/123.17 289 back subsumes 247.
% 123.10/123.17
% 123.10/123.17 ------------> process sos:
% 123.10/123.17 ** KEPT (pick-wt=3): 346 [] A=A.
% 123.10/123.17 ** KEPT (pick-wt=18): 347 [] c_Collect(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 123.10/123.17 ---> New Demodulator: 348 [new_demod,347] c_Collect(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 123.10/123.17 ** KEPT (pick-wt=17): 350 [copy,349,demod,348] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=10): 351 [] c_Nitpick_Ofold__graph_H(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D).
% 123.10/123.17 ** KEPT (pick-wt=10): 352 [] c_Finite__Set_Ofold__graph(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D).
% 123.10/123.17 ** KEPT (pick-wt=6): 353 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 123.10/123.17 ** KEPT (pick-wt=8): 354 [] hAPP(c_COMBK(A,B,C),D)=A.
% 123.10/123.17 ---> New Demodulator: 355 [new_demod,354] hAPP(c_COMBK(A,B,C),D)=A.
% 123.10/123.17 ** KEPT (pick-wt=15): 356 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 123.10/123.17 ** KEPT (pick-wt=12): 357 [] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B.
% 123.10/123.17 ---> New Demodulator: 358 [new_demod,357] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B.
% 123.10/123.17 ** KEPT (pick-wt=20): 359 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBK(B,tc_fun(C,tc_bool),A),A,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=20): 360 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,tc_fun(C,tc_bool))=B|A=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=20): 361 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool),C),C,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 362 [new_demod,361] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool),C),C,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=27): 363 [] c_Finite__Set_Osetsum(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,tc_nat)=c_Finite__Set_Osetsum(A,B,D,tc_nat)|hBOOL(c_in(C,B,D)).
% 123.10/123.17 ** KEPT (pick-wt=17): 364 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 365 [new_demod,364] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=14): 366 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 367 [new_demod,366] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=11): 368 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 123.10/123.17 ---> New Demodulator: 369 [new_demod,368] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 123.10/123.17 ** KEPT (pick-wt=11): 370 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 123.10/123.17 ---> New Demodulator: 371 [new_demod,370] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 123.10/123.17 ** KEPT (pick-wt=11): 372 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=11): 373 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 123.10/123.17 ---> New Demodulator: 374 [new_demod,373] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 123.10/123.17 ** KEPT (pick-wt=22): 375 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=B|hBOOL(c_in(A,B,C)).
% 123.10/123.17 ** KEPT (pick-wt=19): 377 [copy,376,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 378 [new_demod,377] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=19): 380 [copy,379,demod,378] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=8): 381 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 123.10/123.17 Following clause subsumed by 381 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 123.10/123.17 Following clause subsumed by 381 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 123.10/123.17 ** KEPT (pick-wt=14): 382 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(A,tc_bool)))).
% 123.10/123.17 ** KEPT (pick-wt=14): 383 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool)))).
% 123.10/123.17 ** KEPT (pick-wt=14): 384 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),B)).
% 123.10/123.17 ** KEPT (pick-wt=11): 385 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 123.10/123.17 ---> New Demodulator: 386 [new_demod,385] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 123.10/123.17 ** KEPT (pick-wt=24): 388 [copy,387,flip.1] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))|hBOOL(c_in(A,C,D)).
% 123.10/123.17 ** KEPT (pick-wt=18): 389 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 390 [new_demod,389] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=13): 391 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=28): 393 [copy,392,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 394 [new_demod,393] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=18): 395 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 396 [new_demod,395] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=18): 397 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 398 [new_demod,397] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=23): 399 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 400 [new_demod,399] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=23): 401 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=18): 402 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 403 [new_demod,402] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=17): 404 [] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 123.10/123.17 ---> New Demodulator: 405 [new_demod,404] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 123.10/123.17 ** KEPT (pick-wt=8): 406 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 123.10/123.17 ---> New Demodulator: 407 [new_demod,406] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 123.10/123.17 ** KEPT (pick-wt=11): 409 [copy,408,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 123.10/123.17 ---> New Demodulator: 410 [new_demod,409] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 123.10/123.17 ** KEPT (pick-wt=14): 411 [] hBOOL(c_in(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C))|hBOOL(c_in(A,B,C)).
% 123.10/123.17 ** KEPT (pick-wt=5): 412 [] c_Collect(A,B)=A.
% 123.10/123.17 ---> New Demodulator: 413 [new_demod,412] c_Collect(A,B)=A.
% 123.10/123.17 ** KEPT (pick-wt=21): 414 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 123.10/123.17 ---> New Demodulator: 415 [new_demod,414] c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=17): 416 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 123.10/123.17 ---> New Demodulator: 417 [new_demod,416] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 123.10/123.17 ** KEPT (pick-wt=17): 418 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 123.10/123.17 ---> New Demodulator: 419 [new_demod,418] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 123.10/123.17 ** KEPT (pick-wt=14): 420 [] 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).
% 123.10/123.17 ---> New Demodulator: 421 [new_demod,420] 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).
% 123.10/123.17 ** KEPT (pick-wt=25): 422 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=31): 423 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=8): 424 [] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 123.10/123.17 ---> New Demodulator: 425 [new_demod,424] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 123.10/123.17 ** KEPT (pick-wt=12): 427 [copy,426,demod,413] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 123.10/123.17 ---> New Demodulator: 428 [new_demod,427] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 123.10/123.17 Following clause subsumed by 381 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)).
% 123.10/123.17 ** KEPT (pick-wt=18): 429 [] hBOOL(hAPP(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B))).
% 123.10/123.17 ** KEPT (pick-wt=21): 430 [] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D).
% 123.10/123.17 ** KEPT (pick-wt=13): 431 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C),B)).
% 123.10/123.17 ** KEPT (pick-wt=11): 432 [] c_The(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 123.10/123.17 ---> New Demodulator: 433 [new_demod,432] c_The(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 123.10/123.17 ** KEPT (pick-wt=27): 434 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=27): 435 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=11): 436 [] c_Set_Ocontents(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 123.10/123.17 ---> New Demodulator: 437 [new_demod,436] c_Set_Ocontents(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 123.10/123.17 ** KEPT (pick-wt=12): 438 [] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=B.
% 123.10/123.17 ---> New Demodulator: 439 [new_demod,438] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=B.
% 123.10/123.17 ** KEPT (pick-wt=20): 440 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 123.10/123.17 ---> New Demodulator: 441 [new_demod,440] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 123.10/123.17 Following clause subsumed by 350 during input processing: 0 [] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 123.10/123.17 ** KEPT (pick-wt=19): 442 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)))).
% 123.10/123.17 ** KEPT (pick-wt=30): 443 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C))).
% 123.10/123.17 ** KEPT (pick-wt=30): 444 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C))).
% 123.10/123.17 ** KEPT (pick-wt=30): 445 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C))).
% 123.10/123.17 ** KEPT (pick-wt=9): 446 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),B)).
% 123.10/123.17 Following clause subsumed by 446 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),B)).
% 123.10/123.17 ** KEPT (pick-wt=7): 447 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 123.10/123.17 ** KEPT (pick-wt=16): 448 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otripl
% 123.10/123.18 -------- PROOF --------
% 123.10/123.18 e(B,c_Com_Ocom_OSKIP,B,C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C).
% 123.10/123.18
% 123.10/123.18 ----> UNIT CONFLICT at 0.04 sec ----> 449 [binary,448.1,295.1] $F.
% 123.10/123.18
% 123.10/123.18 Length of proof is 0. Level of proof is 0.
% 123.10/123.18
% 123.10/123.18 ---------------- PROOF ----------------
% 123.10/123.18 % SZS status Unsatisfiable
% 123.10/123.18 % SZS output start Refutation
% See solution above
% 123.10/123.18 ------------ end of proof -------------
% 123.10/123.18
% 123.10/123.18
% 123.10/123.18 Search stopped by max_proofs option.
% 123.10/123.18
% 123.10/123.18
% 123.10/123.18 Search stopped by max_proofs option.
% 123.10/123.18
% 123.10/123.18 ============ end of search ============
% 123.10/123.18
% 123.10/123.18 -------------- statistics -------------
% 123.10/123.18 clauses given 0
% 123.10/123.18 clauses generated 52
% 123.10/123.18 clauses kept 408
% 123.10/123.18 clauses forward subsumed 66
% 123.10/123.18 clauses back subsumed 4
% 123.10/123.18 Kbytes malloced 9765
% 123.10/123.18
% 123.10/123.18 ----------- times (seconds) -----------
% 123.10/123.18 user CPU time 0.04 (0 hr, 0 min, 0 sec)
% 123.10/123.18 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 123.10/123.18 wall-clock time 123 (0 hr, 2 min, 3 sec)
% 123.10/123.18
% 123.10/123.18 That finishes the proof of the theorem.
% 123.10/123.18
% 123.10/123.18 Process 32606 finished Wed Jul 27 05:50:04 2022
% 123.10/123.18 Otter interrupted
% 123.10/123.18 PROOF FOUND
%------------------------------------------------------------------------------