%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV838-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:21:39 EDT 2022

% Result   : Unknown 168.73s 168.90s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWV838-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12  % Command  : otter-tptp-script %s
% 0.11/0.33  % Computer : n021.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Jul 27 05:48:23 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 167.99/168.17  ----- Otter 3.3f, August 2004 -----
% 167.99/168.17  The process was started by sandbox on n021.cluster.edu,
% 167.99/168.17  Wed Jul 27 05:48:23 2022
% 167.99/168.17  The command was "./otter".  The process ID is 3715.
% 167.99/168.17  
% 167.99/168.17  set(prolog_style_variables).
% 167.99/168.17  set(auto).
% 167.99/168.17     dependent: set(auto1).
% 167.99/168.17     dependent: set(process_input).
% 167.99/168.17     dependent: clear(print_kept).
% 167.99/168.17     dependent: clear(print_new_demod).
% 167.99/168.17     dependent: clear(print_back_demod).
% 167.99/168.17     dependent: clear(print_back_sub).
% 167.99/168.17     dependent: set(control_memory).
% 167.99/168.17     dependent: assign(max_mem, 12000).
% 167.99/168.17     dependent: assign(pick_given_ratio, 4).
% 167.99/168.17     dependent: assign(stats_level, 1).
% 167.99/168.17     dependent: assign(max_seconds, 10800).
% 167.99/168.17  clear(print_given).
% 167.99/168.17  
% 167.99/168.17  list(usable).
% 167.99/168.17  0 [] A=A.
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  0 [] c_Set_Oimage(V_f,V_A,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 167.99/168.17  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).
% 167.99/168.17  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oimage(V_f,V_A,T_b,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 167.99/168.17  0 [] c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a).
% 167.99/168.17  0 [] c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)=c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a).
% 167.99/168.17  0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 167.99/168.17  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),V_x),V_A))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_x,T_b,T_a)),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 167.99/168.17  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 167.99/168.17  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 167.99/168.17  0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)).
% 167.99/168.17  0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)).
% 167.99/168.17  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] c_Finite__Set_Ofinite(V_B,T_b)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -c_Finite__Set_Ofinite(V_A,T_a).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] c_The(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=V_a.
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)).
% 167.99/168.17  0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 167.99/168.17  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 167.99/168.17  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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).
% 167.99/168.17  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.
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),V_B)).
% 167.99/168.17  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))).
% 167.99/168.17  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))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool))),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a))).
% 167.99/168.17  0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_M,V_i)),c_Complete__Lattice_Ocomplete__lattice_OSUPR(V_Sup,V_A,V_M,T_a,T_b)))| -hBOOL(c_in(V_i,V_A,T_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).
% 167.99/168.17  0 [] hBOOL(hAPP(hAPP(V_less__e_q,c_Complete__Lattice_Ocomplete__lattice_OINFI(V_Inf,V_A,V_M,T_a,T_b)),hAPP(V_M,V_i)))| -hBOOL(c_in(V_i,V_A,T_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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] c_Complete__Lattice_Ocomplete__lattice_OSUPR(V_Sup,V_A,c_COMBK(V_M,T_a,T_b),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -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).
% 167.99/168.17  0 [] c_Complete__Lattice_Ocomplete__lattice_OINFI(V_Inf,V_A,c_COMBK(V_M,T_a,T_b),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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))).
% 167.99/168.17  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))).
% 167.99/168.17  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))).
% 167.99/168.17  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))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 167.99/168.17  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 167.99/168.17  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 167.99/168.17  0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 167.99/168.17  0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 167.99/168.17  0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 167.99/168.17  0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 167.99/168.17  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.
% 167.99/168.17  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)))).
% 167.99/168.17  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)))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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))).
% 167.99/168.17  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))).
% 167.99/168.17  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)).
% 167.99/168.17  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))).
% 167.99/168.17  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)).
% 167.99/168.17  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))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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.
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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)).
% 167.99/168.17  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)))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 167.99/168.17  0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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)).
% 167.99/168.17  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 167.99/168.17  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 167.99/168.17  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 167.99/168.17  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.
% 167.99/168.17  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 167.99/168.17  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] c_Collect(V_P,T_a)=V_P.
% 167.99/168.17  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 167.99/168.17  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  0 [] c_The(hAPP(c_fe_qual(T_a),V_x),T_a)=V_x.
% 167.99/168.17  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)).
% 167.99/168.17  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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.
% 167.99/168.17  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))).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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.
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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.
% 167.99/168.17  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)))).
% 167.99/168.17  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)))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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))).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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))).
% 167.99/168.17  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).
% 167.99/168.17  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))).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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))).
% 167.99/168.17  0 [] hAPP(c_COMBK(v_P,t_a,t_b),v_Q)=v_P.
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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).
% 167.99/168.17  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)).
% 167.99/168.17  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)).
% 167.99/168.17  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).
% 167.99/168.17  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))).
% 167.99/168.18  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).
% 167.99/168.18  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)).
% 167.99/168.18  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 167.99/168.18  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 167.99/168.18  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)).
% 167.99/168.18  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)).
% 167.99/168.18  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_A)).
% 167.99/168.18  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_x),V_x)).
% 167.99/168.18  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)).
% 167.99/168.18  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)).
% 167.99/168.18  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 167.99/168.18  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).
% 167.99/168.18  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 167.99/168.18  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)))).
% 167.99/168.18  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)))).
% 167.99/168.18  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.
% 167.99/168.18  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.
% 167.99/168.18  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.
% 167.99/168.18  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.
% 167.99/168.18  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.
% 167.99/168.18  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.
% 167.99/168.18  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.
% 167.99/168.18  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)).
% 167.99/168.18  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)).
% 167.99/168.18  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)).
% 167.99/168.18  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)).
% 167.99/168.18  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)).
% 167.99/168.18  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 167.99/168.18  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).
% 167.99/168.18  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oinsert(V_a,V_B,T_a))).
% 167.99/168.18  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 167.99/168.18  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).
% 167.99/168.18  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 167.99/168.18  0 [] -class_Orderings_Obot(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)).
% 167.99/168.18  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)).
% 167.99/168.18  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)).
% 167.99/168.18  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)).
% 167.99/168.18  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).
% 167.99/168.18  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).
% 167.99/168.18  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.
% 167.99/168.18  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 167.99/168.18  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)).
% 167.99/168.18  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)).
% 167.99/168.18  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_Ga)).
% 167.99/168.18  0 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,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).
% 167.99/168.18  0 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_Z(V_sb,V_sc),v_c,v_s(V_sb,V_sc),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_sb),V_sc)).
% 167.99/168.18  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_Z(V_sb,V_sc),v_c,v_s(V_sb,V_sc),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(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),V_Ga))| -hBOOL(hAPP(hAPP(v_P,V_sb),V_sc)).
% 167.99/168.18  0 [] hBOOL(hAPP(hAPP(v_Q,V_sb),V_s_H))|hBOOL(hAPP(hAPP(v_Z(V_sb,V_sc),v_sa(V_sb,V_sc,V_s_H)),V_sc))| -hBOOL(hAPP(hAPP(v_P,V_sb),V_sc)).
% 167.99/168.18  0 [] hBOOL(hAPP(hAPP(v_Q,V_sb),V_s_H))| -hBOOL(hAPP(hAPP(v_s(V_sb,V_sc),v_sa(V_sb,V_sc,V_s_H)),V_s_H))| -hBOOL(hAPP(hAPP(v_P,V_sb),V_sc)).
% 167.99/168.18  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 167.99/168.18  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 167.99/168.18  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 167.99/168.18  0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 167.99/168.18  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).
% 167.99/168.18  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 167.99/168.18  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 167.99/168.18  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 167.99/168.18  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 167.99/168.18  0 [] class_HOL_Ouminus(tc_fun(T_2,T_1))| -class_HOL_Ouminus(T_1).
% 167.99/168.18  0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 167.99/168.18  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 167.99/168.18  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 167.99/168.18  0 [] class_Orderings_Opreorder(tc_nat).
% 167.99/168.18  0 [] class_Orderings_Olinorder(tc_nat).
% 167.99/168.18  0 [] class_Lattices_Olattice(tc_nat).
% 167.99/168.18  0 [] class_Orderings_Oorder(tc_nat).
% 167.99/168.18  0 [] class_Orderings_Obot(tc_nat).
% 167.99/168.18  0 [] class_HOL_Ominus(tc_nat).
% 167.99/168.18  0 [] class_HOL_Oord(tc_nat).
% 167.99/168.18  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 167.99/168.18  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 167.99/168.18  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 167.99/168.18  0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 167.99/168.18  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 167.99/168.18  0 [] class_Orderings_Opreorder(tc_bool).
% 167.99/168.18  0 [] class_Lattices_Olattice(tc_bool).
% 167.99/168.18  0 [] class_Orderings_Oorder(tc_bool).
% 167.99/168.18  0 [] class_Orderings_Obot(tc_bool).
% 167.99/168.18  0 [] class_HOL_Ouminus(tc_bool).
% 167.99/168.18  0 [] class_HOL_Ominus(tc_bool).
% 167.99/168.18  0 [] class_HOL_Oord(tc_bool).
% 167.99/168.18  0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 167.99/168.18  0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 167.99/168.18  end_of_list.
% 167.99/168.18  
% 167.99/168.18  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 167.99/168.18  
% 167.99/168.18  This ia a non-Horn set with equality.  The strategy will be
% 167.99/168.18  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 167.99/168.18  deletion, with positive clauses in sos and nonpositive
% 167.99/168.18  clauses in usable.
% 167.99/168.18  
% 167.99/168.18     dependent: set(knuth_bendix).
% 167.99/168.18     dependent: set(anl_eq).
% 167.99/168.18     dependent: set(para_from).
% 167.99/168.18     dependent: set(para_into).
% 167.99/168.18     dependent: clear(para_from_right).
% 167.99/168.18     dependent: clear(para_into_right).
% 167.99/168.18     dependent: set(para_from_vars).
% 167.99/168.18     dependent: set(eq_units_both_ways).
% 167.99/168.18     dependent: set(dynamic_demod_all).
% 167.99/168.18     dependent: set(dynamic_demod).
% 167.99/168.18     dependent: set(order_eq).
% 167.99/168.18     dependent: set(back_demod).
% 167.99/168.18     dependent: set(lrpo).
% 167.99/168.18     dependent: set(hyper_res).
% 167.99/168.18     dependent: set(unit_deletion).
% 167.99/168.18     dependent: set(factor).
% 167.99/168.18  
% 167.99/168.18  ------------> process usable:
% 167.99/168.18  ** KEPT (pick-wt=20): 1 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=13): 2 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 167.99/168.18  ** KEPT (pick-wt=13): 3 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B))| -c_HOL_Oord__class_Oless(B,B,A).
% 167.99/168.18    Following clause subsumed by 2 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)).
% 167.99/168.18  ** KEPT (pick-wt=13): 4 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 167.99/168.18    Following clause subsumed by 2 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).
% 167.99/168.18    Following clause subsumed by 4 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).
% 167.99/168.18    Following clause subsumed by 2 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)).
% 167.99/168.18  ** KEPT (pick-wt=13): 5 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -c_HOL_Oord__class_Oless(C,B,A).
% 167.99/168.18  ** KEPT (pick-wt=16): 6 [] c_Set_Oimage(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 167.99/168.18  ** KEPT (pick-wt=9): 7 [] -c_HOL_Oord__class_Oless(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 167.99/168.18  ** KEPT (pick-wt=13): 8 [] A=B| -c_Finite__Set_Ofold__graph(C,B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),A,D,E).
% 167.99/168.18  ** KEPT (pick-wt=16): 9 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oimage(B,C,D,A)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 167.99/168.18  ** KEPT (pick-wt=9): 10 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 167.99/168.18  ** KEPT (pick-wt=9): 11 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 167.99/168.18  ** KEPT (pick-wt=17): 12 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=26): 13 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=17): 14 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=18): 15 [] 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)).
% 167.99/168.18    Following clause subsumed by 15 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)).
% 167.99/168.18  ** KEPT (pick-wt=26): 16 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),c_Set_Oimage(E,B,A,D)),c_Set_Oimage(E,C,A,D))).
% 167.99/168.18    Following clause subsumed by 16 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Oimage(B,C,D,A)),c_Set_Oimage(B,E,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),C),E)).
% 167.99/168.18  ** KEPT (pick-wt=15): 17 [] 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).
% 167.99/168.18  ** KEPT (pick-wt=21): 18 [] 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)).
% 167.99/168.18  ** KEPT (pick-wt=21): 19 [] 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)).
% 167.99/168.18    Following clause subsumed by 17 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)).
% 167.99/168.18  ** KEPT (pick-wt=15): 20 [] 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)).
% 167.99/168.18  ** KEPT (pick-wt=37): 21 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=37): 22 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=29): 23 [] 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)).
% 167.99/168.18  ** KEPT (pick-wt=28): 24 [] 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)).
% 167.99/168.18  ** KEPT (pick-wt=28): 25 [] 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)).
% 167.99/168.18  ** KEPT (pick-wt=33): 26 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=33): 27 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=13): 28 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -c_HOL_Oord__class_Oless(B,C,A).
% 167.99/168.18  ** KEPT (pick-wt=13): 29 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -c_HOL_Oord__class_Oless(B,C,A).
% 167.99/168.18  ** KEPT (pick-wt=17): 30 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=17): 31 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=17): 32 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=17): 33 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=16): 34 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 167.99/168.18    Following clause subsumed by 34 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.
% 167.99/168.18  ** KEPT (pick-wt=16): 35 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 167.99/168.18    Following clause subsumed by 35 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)).
% 167.99/168.18    Following clause subsumed by 35 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)).
% 167.99/168.18    Following clause subsumed by 35 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.
% 167.99/168.18  ** KEPT (pick-wt=16): 36 [] -class_Orderings_Olinorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|c_HOL_Oord__class_Oless(B,C,A).
% 167.99/168.18    Following clause subsumed by 36 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)).
% 167.99/168.18  ** KEPT (pick-wt=14): 37 [] -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).
% 167.99/168.18    Following clause subsumed by 37 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).
% 167.99/168.18  ** KEPT (pick-wt=14): 38 [] -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).
% 167.99/168.18    Following clause subsumed by 38 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).
% 167.99/168.18  ** KEPT (pick-wt=13): 39 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=13): 40 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=16): 41 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 167.99/168.18    Following clause subsumed by 41 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 167.99/168.18    Following clause subsumed by 41 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 167.99/168.18    Following clause subsumed by 41 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 167.99/168.18  ** KEPT (pick-wt=5): 42 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 167.99/168.18  ** KEPT (pick-wt=29): 43 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=15): 44 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=15): 45 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=28): 46 [] 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).
% 167.99/168.18  ** KEPT (pick-wt=14): 47 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=16): 48 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool)).
% 167.99/168.18  ** KEPT (pick-wt=18): 49 [] 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)).
% 167.99/168.18  ** KEPT (pick-wt=14): 50 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=10): 51 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofold__graph(C,D,A,E,B,F).
% 167.99/168.18  ** KEPT (pick-wt=19): 52 [] c_Finite__Set_Ofinite(A,B)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),c_Set_Oimage(C,D,E,B)))| -c_Finite__Set_Ofinite(D,E).
% 167.99/168.18  ** KEPT (pick-wt=15): 53 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=15): 54 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=11): 55 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 167.99/168.18  ** KEPT (pick-wt=14): 56 [] 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).
% 167.99/168.18    Following clause subsumed by 55 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).
% 167.99/168.18  ** KEPT (pick-wt=14): 57 [] 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).
% 167.99/168.18    Following clause subsumed by 57 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).
% 167.99/168.18  ** KEPT (pick-wt=11): 58 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 167.99/168.18  ** KEPT (pick-wt=11): 59 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 167.99/168.18  ** KEPT (pick-wt=14): 60 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=14): 61 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=6): 62 [] -c_HOL_Oord__class_Oless(A,A,tc_fun(B,tc_bool)).
% 167.99/168.18  ** KEPT (pick-wt=6): 63 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 167.99/168.18  ** KEPT (pick-wt=6): 64 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 167.99/168.18  ** KEPT (pick-wt=6): 65 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 167.99/168.18  ** KEPT (pick-wt=39): 66 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=39): 67 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=13): 68 [] -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.
% 167.99/168.18  ** KEPT (pick-wt=13): 69 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 167.99/168.18    Following clause subsumed by 69 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.
% 167.99/168.18    Following clause subsumed by 69 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).
% 167.99/168.18    Following clause subsumed by 69 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).
% 167.99/168.18  ** KEPT (pick-wt=10): 70 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 167.99/168.18  ** KEPT (pick-wt=15): 71 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=15): 72 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=15): 73 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=15): 74 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=19): 75 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=19): 76 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=10): 77 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 167.99/168.18  ** KEPT (pick-wt=10): 78 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 167.99/168.18  ** KEPT (pick-wt=10): 79 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 167.99/168.18    Following clause subsumed by 79 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 167.99/168.18  ** KEPT (pick-wt=37): 80 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=18): 81 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=18): 82 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=26): 83 [] 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)).
% 167.99/168.18  ** KEPT (pick-wt=21): 84 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(c_in(B,C,D)).
% 167.99/168.18  ** KEPT (pick-wt=20): 85 [] 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)).
% 167.99/168.18  ** KEPT (pick-wt=20): 86 [] 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)).
% 167.99/168.18  ** KEPT (pick-wt=25): 87 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),c_Set_Oimage(A,E,F,D)),C)).
% 167.99/168.18  ** KEPT (pick-wt=31): 88 [] -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))).
% 167.99/168.18  ** KEPT (pick-wt=31): 89 [] -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))).
% 167.99/168.18  ** KEPT (pick-wt=28): 90 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=28): 91 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=21): 92 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=28): 93 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=33): 94 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=33): 95 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=22): 96 [] 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).
% 167.99/168.18  ** KEPT (pick-wt=32): 97 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=26): 98 [] -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)).
% 167.99/168.18  ** KEPT (pick-wt=15): 99 [] -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).
% 167.99/168.18  ** KEPT (pick-wt=19): 100 [] 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).
% 167.99/168.18  ** KEPT (pick-wt=19): 101 [] 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).
% 167.99/168.18  ** KEPT (pick-wt=28): 102 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice_OSUPR(D,E,B,F,G)))| -hBOOL(c_in(C,E,G))| -c_Complete__Lattice_Ocomplete__lattice(H,D,A,I,J,K,L,M,F).
% 167.99/168.19  ** KEPT (pick-wt=28): 103 [] hBOOL(hAPP(hAPP(A,c_Complete__Lattice_Ocomplete__lattice_OINFI(B,C,D,E,F)),hAPP(D,G)))| -hBOOL(c_in(G,C,F))| -c_Complete__Lattice_Ocomplete__lattice(B,H,A,I,J,K,L,M,E).
% 167.99/168.19  ** KEPT (pick-wt=10): 104 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=15): 105 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=19): 106 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=19): 107 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=27): 108 [] c_Complete__Lattice_Ocomplete__lattice_OSUPR(A,B,c_COMBK(C,D,E),D,E)=C|B=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,J,K,L,D).
% 167.99/168.19  ** KEPT (pick-wt=27): 109 [] c_Complete__Lattice_Ocomplete__lattice_OINFI(A,B,c_COMBK(C,D,E),D,E)=C|B=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,I,J,K,L,D).
% 167.99/168.19  ** KEPT (pick-wt=18): 110 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=18): 111 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=22): 112 [] 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).
% 167.99/168.19  ** KEPT (pick-wt=34): 113 [] 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).
% 167.99/168.19  ** KEPT (pick-wt=37): 114 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=36): 115 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=36): 116 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=34): 117 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=21): 118 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)| -hBOOL(c_in(E,D,C)).
% 167.99/168.19  ** KEPT (pick-wt=41): 119 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=31): 120 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=31): 121 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=59): 122 [] 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).
% 167.99/168.19  ** KEPT (pick-wt=29): 123 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=29): 124 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=40): 125 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=12): 126 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,B,A))).
% 167.99/168.19  ** KEPT (pick-wt=26): 127 [] -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)).
% 167.99/168.19    Following clause subsumed by 127 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)).
% 167.99/168.19  ** KEPT (pick-wt=12): 128 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,B,A))).
% 167.99/168.19  ** KEPT (pick-wt=12): 129 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(B,C,A))).
% 167.99/168.19  ** KEPT (pick-wt=20): 130 [] -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))).
% 167.99/168.19    Following clause subsumed by 130 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))).
% 167.99/168.19  ** KEPT (pick-wt=20): 131 [] -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)).
% 167.99/168.19    Following clause subsumed by 131 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)).
% 167.99/168.19  ** KEPT (pick-wt=9): 132 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 167.99/168.19  ** KEPT (pick-wt=9): 133 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 167.99/168.19  ** KEPT (pick-wt=13): 134 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=13): 135 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=18): 136 [] 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).
% 167.99/168.19  ** KEPT (pick-wt=18): 137 [] 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).
% 167.99/168.19  ** KEPT (pick-wt=12): 138 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 167.99/168.19  ** KEPT (pick-wt=8): 139 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 167.99/168.19    Following clause subsumed by 139 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 167.99/168.19    Following clause subsumed by 139 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 167.99/168.19    Following clause subsumed by 139 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 167.99/168.19  ** KEPT (pick-wt=12): 140 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 167.99/168.19  ** KEPT (pick-wt=10): 141 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 167.99/168.19    Following clause subsumed by 139 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 167.99/168.19  ** KEPT (pick-wt=17): 142 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=17): 143 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=22): 144 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=20): 145 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=13): 146 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 167.99/168.19    Following clause subsumed by 146 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 167.99/168.19  ** KEPT (pick-wt=24): 147 [] 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).
% 167.99/168.19  ** KEPT (pick-wt=24): 148 [] 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).
% 167.99/168.19  ** KEPT (pick-wt=16): 149 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 167.99/168.19  ** KEPT (pick-wt=22): 150 [] 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.
% 167.99/168.19  ** KEPT (pick-wt=11): 151 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 167.99/168.19  ** KEPT (pick-wt=31): 152 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=19): 153 [] 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)).
% 167.99/168.19    Following clause subsumed by 153 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)).
% 167.99/168.19    Following clause subsumed by 153 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)).
% 167.99/168.19    Following clause subsumed by 153 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)).
% 167.99/168.19  ** KEPT (pick-wt=23): 154 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=23): 155 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=37): 156 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=17): 157 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=17): 158 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=17): 159 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=37): 160 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=26): 161 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=26): 162 [] 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)))).
% 167.99/168.19    Following clause subsumed by 161 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)).
% 167.99/168.19  ** KEPT (pick-wt=32): 163 [] 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)).
% 167.99/168.19    Following clause subsumed by 163 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)).
% 167.99/168.19  ** KEPT (pick-wt=37): 164 [] 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)).
% 167.99/168.19    Following clause subsumed by 164 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)).
% 167.99/168.19  ** KEPT (pick-wt=37): 165 [] 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))).
% 167.99/168.19  ** KEPT (pick-wt=18): 166 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=18): 167 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=18): 168 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=18): 169 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=24): 170 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=31): 171 [] -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))).
% 167.99/168.19  ** KEPT (pick-wt=31): 172 [] -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))).
% 167.99/168.19  ** KEPT (pick-wt=31): 173 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=12): 174 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(B,C,A))).
% 167.99/168.19    Following clause subsumed by 127 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)).
% 167.99/168.19  ** KEPT (pick-wt=20): 175 [] -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))).
% 167.99/168.19  ** KEPT (pick-wt=20): 176 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=15): 177 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 167.99/168.19  ** KEPT (pick-wt=15): 178 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 167.99/168.19  ** KEPT (pick-wt=15): 179 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 167.99/168.19  ** KEPT (pick-wt=19): 180 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=19): 181 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=19): 182 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=19): 183 [] -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)).
% 167.99/168.19    Following clause subsumed by 180 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)).
% 167.99/168.19    Following clause subsumed by 181 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)).
% 167.99/168.19  ** KEPT (pick-wt=25): 184 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=25): 185 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=13): 186 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=9): 187 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 167.99/168.19    Following clause subsumed by 187 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.
% 167.99/168.19    Following clause subsumed by 187 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.
% 167.99/168.19  ** KEPT (pick-wt=9): 188 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 167.99/168.19    Following clause subsumed by 187 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 167.99/168.19  ** KEPT (pick-wt=28): 189 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=28): 190 [] 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)))).
% 167.99/168.19  ** KEPT (pick-wt=21): 191 [] 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)).
% 167.99/168.19    Following clause subsumed by 191 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)).
% 167.99/168.19  ** KEPT (pick-wt=14): 192 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=14): 193 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=11): 194 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 167.99/168.19  ** KEPT (pick-wt=11): 195 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 167.99/168.19  ** KEPT (pick-wt=23): 196 [] 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).
% 167.99/168.19  ** KEPT (pick-wt=23): 197 [] 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).
% 167.99/168.19  ** KEPT (pick-wt=19): 198 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=23): 199 [] 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)).
% 167.99/168.19    Following clause subsumed by 199 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)).
% 167.99/168.19  ** KEPT (pick-wt=18): 200 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=20): 201 [] 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)).
% 167.99/168.19    Following clause subsumed by 201 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)).
% 167.99/168.19  ** KEPT (pick-wt=11): 202 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 167.99/168.19  ** KEPT (pick-wt=11): 203 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 167.99/168.19  ** KEPT (pick-wt=22): 204 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=17): 205 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=17): 206 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=17): 207 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=17): 208 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=14): 209 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 167.99/168.19  ** KEPT (pick-wt=14): 210 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 167.99/168.19  ** KEPT (pick-wt=9): 211 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 167.99/168.19  ** KEPT (pick-wt=9): 212 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 167.99/168.19  ** KEPT (pick-wt=8): 213 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 167.99/168.19  ** KEPT (pick-wt=19): 214 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=20): 215 [] -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)).
% 167.99/168.19  ** KEPT (pick-wt=22): 216 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=21): 217 [] 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)).
% 167.99/168.19  ** KEPT (pick-wt=14): 218 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C)).
% 167.99/168.19  ** KEPT (pick-wt=10): 219 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 167.99/168.19  ** KEPT (pick-wt=10): 220 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 167.99/168.19  ** KEPT (pick-wt=17): 221 [] -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).
% 167.99/168.19  ** KEPT (pick-wt=25): 222 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=15): 223 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 167.99/168.20  ** KEPT (pick-wt=15): 224 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 167.99/168.20  ** KEPT (pick-wt=31): 225 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=27): 226 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=17): 227 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 167.99/168.20  ** KEPT (pick-wt=13): 228 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 167.99/168.20  ** KEPT (pick-wt=13): 229 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 167.99/168.20  ** KEPT (pick-wt=20): 230 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=25): 231 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=12): 232 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 167.99/168.20  ** KEPT (pick-wt=12): 233 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 167.99/168.20  ** KEPT (pick-wt=14): 234 [] c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool))!=c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool))|A=C.
% 167.99/168.20  ** KEPT (pick-wt=17): 235 [] -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)).
% 167.99/168.20  ** KEPT (pick-wt=5): 236 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 167.99/168.20  ** KEPT (pick-wt=15): 237 [] -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).
% 167.99/168.20  ** KEPT (pick-wt=15): 238 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 167.99/168.20  ** KEPT (pick-wt=15): 239 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 167.99/168.20  ** KEPT (pick-wt=17): 240 [] -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)).
% 167.99/168.20    Following clause subsumed by 236 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 167.99/168.20  ** KEPT (pick-wt=11): 241 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 167.99/168.20  ** KEPT (pick-wt=12): 242 [] -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).
% 167.99/168.20  ** KEPT (pick-wt=21): 243 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=21): 244 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=14): 245 [] -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.
% 167.99/168.20  ** KEPT (pick-wt=13): 246 [] -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.
% 167.99/168.20  ** KEPT (pick-wt=28): 247 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=28): 248 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=16): 249 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=21): 250 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=14): 251 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 167.99/168.20  ** KEPT (pick-wt=13): 252 [] -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.
% 167.99/168.20  ** KEPT (pick-wt=14): 254 [copy,253,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).
% 167.99/168.20  ** KEPT (pick-wt=14): 255 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 167.99/168.20  ** KEPT (pick-wt=14): 256 [] -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.
% 167.99/168.20  ** KEPT (pick-wt=19): 257 [] 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)))).
% 167.99/168.20  ** KEPT (pick-wt=26): 258 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=17): 259 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),c_Set_Oinsert(A,D,C)),B)).
% 167.99/168.20  ** KEPT (pick-wt=26): 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(c_in(C,B,A)).
% 167.99/168.20  ** KEPT (pick-wt=26): 261 [] 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))).
% 167.99/168.20    Following clause subsumed by 260 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)).
% 167.99/168.20    Following clause subsumed by 261 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)).
% 167.99/168.20  ** KEPT (pick-wt=54): 262 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=52): 263 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=54): 264 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=48): 265 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=42): 266 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=46): 267 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=42): 268 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=48): 269 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=42): 270 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=46): 271 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=42): 272 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=41): 273 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=50): 274 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=16): 275 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 167.99/168.20  ** KEPT (pick-wt=24): 276 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=24): 277 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=30): 278 [] 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))).
% 167.99/168.20  ** KEPT (pick-wt=18): 279 [] 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).
% 167.99/168.20  ** KEPT (pick-wt=17): 280 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),A))| -hBOOL(hAPP(D,B)).
% 167.99/168.20  ** KEPT (pick-wt=9): 281 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 167.99/168.20  ** KEPT (pick-wt=9): 282 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 167.99/168.20    Following clause subsumed by 280 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)).
% 167.99/168.20  ** KEPT (pick-wt=27): 283 [] 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)).
% 167.99/168.20  ** KEPT (pick-wt=23): 284 [] -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)).
% 167.99/168.21  ** KEPT (pick-wt=23): 285 [] -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)).
% 167.99/168.21  ** KEPT (pick-wt=12): 286 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 167.99/168.21  ** KEPT (pick-wt=9): 287 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 167.99/168.21  ** KEPT (pick-wt=18): 288 [] 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)))).
% 167.99/168.21  ** KEPT (pick-wt=14): 289 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 167.99/168.21  ** KEPT (pick-wt=14): 290 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 167.99/168.21  ** KEPT (pick-wt=14): 291 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 167.99/168.21  ** KEPT (pick-wt=27): 292 [] 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.
% 167.99/168.21  ** KEPT (pick-wt=27): 293 [] 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.
% 167.99/168.21  ** KEPT (pick-wt=27): 294 [] 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.
% 167.99/168.21  ** KEPT (pick-wt=27): 295 [] 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.
% 167.99/168.21  ** KEPT (pick-wt=19): 296 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 167.99/168.21    Following clause subsumed by 296 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)).
% 167.99/168.21    Following clause subsumed by 296 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)).
% 167.99/168.21  ** KEPT (pick-wt=21): 297 [] 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)).
% 167.99/168.21    Following clause subsumed by 297 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)).
% 167.99/168.21  ** KEPT (pick-wt=7): 298 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 167.99/168.21  ** KEPT (pick-wt=14): 299 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 167.99/168.21  ** KEPT (pick-wt=9): 300 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 167.99/168.21  ** KEPT (pick-wt=10): 301 [] -class_Orderings_Obot(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Orderings_Obot__class_Obot(A)),B)).
% 167.99/168.21  ** KEPT (pick-wt=21): 302 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=21): 303 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=18): 304 [] 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.
% 167.99/168.21  ** KEPT (pick-wt=11): 305 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 167.99/168.21  ** KEPT (pick-wt=14): 306 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=22): 307 [] -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)).
% 167.99/168.21  ** KEPT (pick-wt=16): 308 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,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).
% 167.99/168.21  ** KEPT (pick-wt=26): 309 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_Z(A,B),v_c,v_s(A,B),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,A),B)).
% 167.99/168.21  ** KEPT (pick-wt=36): 310 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_Z(B,C),v_c,v_s(B,C),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(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),A))| -hBOOL(hAPP(hAPP(v_P,B),C)).
% 167.99/168.21  ** KEPT (pick-wt=23): 311 [] hBOOL(hAPP(hAPP(v_Q,A),B))|hBOOL(hAPP(hAPP(v_Z(A,C),v_sa(A,C,B)),C))| -hBOOL(hAPP(hAPP(v_P,A),C)).
% 167.99/168.21  ** KEPT (pick-wt=23): 312 [] hBOOL(hAPP(hAPP(v_Q,A),B))| -hBOOL(hAPP(hAPP(v_s(A,C),v_sa(A,C,B)),B))| -hBOOL(hAPP(hAPP(v_P,A),C)).
% 167.99/168.21  ** KEPT (pick-wt=6): 313 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 167.99/168.21  ** KEPT (pick-wt=6): 314 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 167.99/168.21  ** KEPT (pick-wt=6): 315 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 167.99/168.21  ** KEPT (pick-wt=6): 316 [] class_Lattices_Oboolean__algebra(tc_fun(A,B))| -class_Lattices_Oboolean__algebra(B).
% 167.99/168.21  ** KEPT (pick-wt=8): 317 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 167.99/168.21  ** KEPT (pick-wt=6): 318 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 167.99/168.21  ** KEPT (pick-wt=6): 319 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 167.99/168.21  ** KEPT (pick-wt=6): 320 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 167.99/168.21  ** KEPT (pick-wt=6): 321 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 167.99/168.21  ** KEPT (pick-wt=6): 322 [] class_HOL_Ouminus(tc_fun(A,B))| -class_HOL_Ouminus(B).
% 167.99/168.21  ** KEPT (pick-wt=6): 323 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 167.99/168.21  ** KEPT (pick-wt=6): 324 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 167.99/168.21  ** KEPT (pick-wt=10): 325 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 167.99/168.21  4 back subsumes 3.
% 167.99/168.21  237 back subsumes 105.
% 167.99/168.21    Following clause subsumed by 300 during input processing: 0 [copy,287,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 167.99/168.21    Following clause subsumed by 287 during input processing: 0 [copy,300,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 167.99/168.21  300 back subsumes 255.
% 167.99/168.21  302 back subsumes 273.
% 167.99/168.21  302 back subsumes 260.
% 167.99/168.21  
% 167.99/168.21  ------------> process sos:
% 167.99/168.21  ** KEPT (pick-wt=3): 363 [] A=A.
% 167.99/168.21  ** KEPT (pick-wt=6): 364 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 167.99/168.21  ** KEPT (pick-wt=13): 365 [] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 167.99/168.21  ** KEPT (pick-wt=10): 366 [] c_Finite__Set_Ofold__graph(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D).
% 167.99/168.21  ** KEPT (pick-wt=10): 367 [] c_Nitpick_Ofold__graph_H(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D).
% 167.99/168.21  ** KEPT (pick-wt=13): 368 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 167.99/168.21  ** KEPT (pick-wt=19): 370 [copy,369,flip.1] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 167.99/168.21  ---> New Demodulator: 371 [new_demod,370] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 167.99/168.21  ** KEPT (pick-wt=18): 372 [] 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).
% 167.99/168.21  ---> New Demodulator: 373 [new_demod,372] 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).
% 167.99/168.21  ** KEPT (pick-wt=17): 375 [copy,374,demod,373] 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)).
% 167.99/168.21  ** KEPT (pick-wt=22): 376 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 167.99/168.21  ** KEPT (pick-wt=15): 377 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 167.99/168.21  ** KEPT (pick-wt=12): 378 [] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B.
% 167.99/168.21  ---> New Demodulator: 379 [new_demod,378] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B.
% 167.99/168.21  ** KEPT (pick-wt=25): 380 [] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 167.99/168.21  ** KEPT (pick-wt=20): 381 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=20): 382 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=20): 383 [] 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)).
% 167.99/168.21  ---> New Demodulator: 384 [new_demod,383] 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)).
% 167.99/168.21    Following clause subsumed by 365 during input processing: 0 [] c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 167.99/168.21  ** KEPT (pick-wt=31): 385 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(c_Set_Oimage(B,C,D,A),c_Set_Oimage(B,E,D,A),tc_fun(A,tc_bool))),c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(C,E,tc_fun(D,tc_bool)),D,A))).
% 167.99/168.21  ** KEPT (pick-wt=27): 386 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=17): 387 [] 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)).
% 167.99/168.21  ---> New Demodulator: 388 [new_demod,387] 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)).
% 167.99/168.21  ** KEPT (pick-wt=14): 389 [] 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)).
% 167.99/168.21  ---> New Demodulator: 390 [new_demod,389] 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)).
% 167.99/168.21  ** KEPT (pick-wt=11): 391 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 167.99/168.21  ---> New Demodulator: 392 [new_demod,391] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 167.99/168.21  ** KEPT (pick-wt=11): 393 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 167.99/168.21  ---> New Demodulator: 394 [new_demod,393] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 167.99/168.21  ** KEPT (pick-wt=11): 395 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 167.99/168.21  ** KEPT (pick-wt=11): 396 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 167.99/168.21  ---> New Demodulator: 397 [new_demod,396] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 167.99/168.21  ** KEPT (pick-wt=22): 398 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=19): 400 [copy,399,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)).
% 167.99/168.21  ---> New Demodulator: 401 [new_demod,400] 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)).
% 167.99/168.21  ** KEPT (pick-wt=19): 403 [copy,402,demod,401] 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)).
% 167.99/168.21  ** KEPT (pick-wt=8): 404 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 167.99/168.21    Following clause subsumed by 404 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 167.99/168.21    Following clause subsumed by 404 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 167.99/168.21  ** KEPT (pick-wt=14): 405 [] 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)))).
% 167.99/168.21  ** KEPT (pick-wt=14): 406 [] 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)))).
% 167.99/168.21  ** KEPT (pick-wt=14): 407 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),B)).
% 167.99/168.21  ** KEPT (pick-wt=11): 408 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 167.99/168.21  ---> New Demodulator: 409 [new_demod,408] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 167.99/168.21  ** KEPT (pick-wt=24): 411 [copy,410,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)).
% 167.99/168.21  ** KEPT (pick-wt=18): 412 [] 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)).
% 167.99/168.21  ---> New Demodulator: 413 [new_demod,412] 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)).
% 167.99/168.21  ** KEPT (pick-wt=13): 414 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=28): 416 [copy,415,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)).
% 167.99/168.21  ---> New Demodulator: 417 [new_demod,416] 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)).
% 167.99/168.21  ** KEPT (pick-wt=18): 418 [] 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)).
% 167.99/168.21  ---> New Demodulator: 419 [new_demod,418] 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)).
% 167.99/168.21  ** KEPT (pick-wt=18): 420 [] 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)).
% 167.99/168.21  ---> New Demodulator: 421 [new_demod,420] 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)).
% 167.99/168.21  ** KEPT (pick-wt=23): 422 [] 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)).
% 167.99/168.21  ---> New Demodulator: 423 [new_demod,422] 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)).
% 167.99/168.21  ** KEPT (pick-wt=23): 424 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=18): 425 [] 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)).
% 167.99/168.21  ---> New Demodulator: 426 [new_demod,425] 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)).
% 167.99/168.21  ** KEPT (pick-wt=8): 427 [] hAPP(c_COMBK(A,B,C),D)=A.
% 167.99/168.21  ---> New Demodulator: 428 [new_demod,427] hAPP(c_COMBK(A,B,C),D)=A.
% 167.99/168.21  ** KEPT (pick-wt=17): 429 [] 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.
% 167.99/168.21  ---> New Demodulator: 430 [new_demod,429] 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.
% 167.99/168.21  ** KEPT (pick-wt=8): 431 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 167.99/168.21  ---> New Demodulator: 432 [new_demod,431] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 167.99/168.21  ** KEPT (pick-wt=11): 434 [copy,433,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 167.99/168.21  ---> New Demodulator: 435 [new_demod,434] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 167.99/168.21  ** KEPT (pick-wt=14): 436 [] hBOOL(c_in(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C))|hBOOL(c_in(A,B,C)).
% 167.99/168.21  ** KEPT (pick-wt=5): 437 [] c_Collect(A,B)=A.
% 167.99/168.21  ---> New Demodulator: 438 [new_demod,437] c_Collect(A,B)=A.
% 167.99/168.21  ** KEPT (pick-wt=21): 439 [] 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)).
% 167.99/168.21  ---> New Demodulator: 440 [new_demod,439] 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)).
% 167.99/168.21  ** KEPT (pick-wt=17): 441 [] 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.
% 167.99/168.21  ---> New Demodulator: 442 [new_demod,441] 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.
% 167.99/168.21  ** KEPT (pick-wt=17): 443 [] 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.
% 167.99/168.21  ---> New Demodulator: 444 [new_demod,443] 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.
% 167.99/168.21  ** KEPT (pick-wt=14): 445 [] 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).
% 167.99/168.21  ---> New Demodulator: 446 [new_demod,445] 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).
% 167.99/168.21  ** KEPT (pick-wt=25): 447 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=31): 448 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=8): 449 [] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 167.99/168.21  ---> New Demodulator: 450 [new_demod,449] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 167.99/168.21  ** KEPT (pick-wt=12): 452 [copy,451,demod,438] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 167.99/168.21  ---> New Demodulator: 453 [new_demod,452] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 167.99/168.21    Following clause subsumed by 404 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)).
% 167.99/168.21  ** KEPT (pick-wt=18): 454 [] 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))).
% 167.99/168.21  ** KEPT (pick-wt=21): 455 [] 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).
% 167.99/168.21  ** KEPT (pick-wt=13): 456 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C),B)).
% 167.99/168.21  ** KEPT (pick-wt=11): 457 [] c_The(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 167.99/168.21  ---> New Demodulator: 458 [new_demod,457] c_The(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 167.99/168.21  ** KEPT (pick-wt=27): 459 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=27): 460 [] 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)).
% 167.99/168.21  ** KEPT (pick-wt=11): 461 [] c_Set_Ocontents(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 167.99/168.21  ---> New Demodulator: 462 [new_demod,461] c_Set_Ocontents(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=A.
% 167.99/168.21  ** KEPT (pick-wt=12): 463 [] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=B.
% 167.99/168.21  ---> New Demodulator: 464 [new_demod,463] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=B.
% 167.99/168.21  ** KEPT (pick-wt=20): 465 [] 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).
% 167.99/168.21  ---> New Demodulator: 466 [new_demod,465] 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).
% 167.99/168.21    Following clause subsumed by 375 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)).
% 167.99/168.21  ** KEPT (pick-wt=19): 467 [] 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)))).
% 167.99/168.21  ** KEPT (pick-wt=30): 468 [] 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))).
% 167.99/168.21  ** KEPT (pick-wt=30): 469 [] 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))).
% 167.99/168.21  ** KEPT (pick-wt=30): 470 [] 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))).
% 167.99/168.21    Following clause subsumed by 363 during input processing: 0 [demod,428] v_P=v_P.
% 167.99/168.21  ** KEPT (pick-wt=16): 471 [] 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).
% 167.99/168.21  ** KEPT (pick-wt=9): 472 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),B)).
% 167.99/168.21    Following clause subsumed by 472 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),B)).
% 167.99/168.21  ** KEPT (pick-wt=7): 473 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 167.99/168.21    Following clause subsumed by 472 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 167.99/168.21  ** KEPT (pick-wt=8): 474 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B).
% 167.99/168.21  ** KEPT (pick-wt=12): 475 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,B,A))).
% 167.99/168.21  ** KEPT (pick-wt=12): 476 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 167.99/168.21  ---> New Demodulator: 477 [new_demod,476] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 167.99/168.21  ** KEPT (pick-wt=12): 478 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)).
% 167.99/168.21  ** KEPT (pick-wt=15): 479 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 167.99/168.21    Following clause subsumed by 479 during input processing: 0 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 167.99/168.21  ** KEPT (pick-wt=10): 480 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_Ga)).
% 167.99/168.21  ** KEPT (pick-wt=2): 481 [] class_Lattices_Oupper__semilattice(tc_nat).
% 167.99/168.21  ** KEPT (pick-wt=2): 482 [] class_Orderings_Opreorder(tc_nat).
% 167.99/168.21  ** KEPT (pick-wt=2): 483 [] class_Orderings_Olinorder(tc_nat).
% 167.99/168.21  ** KEPT (pick-wt=2): 484 [] class_Lattices_Olattice(tc_nat).
% 167.99/168.21  ** KEPT (pick-wt=2): 485 [] class_Orderings_Oorder(tc_nat).
% 167.99/168.21  ** KEPT (pick-wt=2): 486 [] class_Orderings_Obot(tc_nat).
% 167.99/168.21  ** KEPT (pick-wt=2): 487 [] class_HOL_Ominus(tc_nat).
% 167.99/168.21  ** KEPT (pick-wt=2): 488 [] class_HOL_Oord(tc_nat).
% 167.99/168.21  ** KEPT (pick-wt=2): 489 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 490 [] class_Lattices_Oupper__semilattice(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 491 [] class_Lattices_Obounded__lattice(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 492 [] class_Lattices_Oboolean__algebra(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 493 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 494 [] class_Orderings_Opreorder(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 495 [] class_Lattices_Olattice(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 496 [] class_Orderings_Oorder(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 497 [] class_Orderings_Obot(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 498 [] class_HOL_Ouminus(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 499 [] class_HOL_Ominus(tc_bool).
% 167.99/168.21  ** KEPT (pick-wt=2): 500 [] class_HOL_Oord(tc_bool).
% 167.99/168.21    Following clause subsumed by 473 during input processing: 0 [demod,453] hBOOL(hAPP(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),B)).
% 167.99/168.21    Following clause subsumed by 363 during input processing: 0 [copy,363,flip.1] A=A.
% 167.99/168.21  363 back subsumes 361.
% 167.99/168.21  363 back subsumes 360.
% 167.99/168.21  363 back subsumes 344.
% 167.99/168.21  363 back subsumes 338.
% 167.99/168.21  363 back subsumes 337.
% 167.99/168.21    Following clause subsumed by 368 during input processing: 0 [copy,365,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 167.99/168.21    Following clause subsumed by 365 during input processing: 0 [copy,368,flip.1] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 167.99/168.21  >>>> Starting back demodulation with 371.
% 167.99/168.21      >> back demodulating 84 with 371.
% 167.99/168.21  >>>> Starting back demodulation with 373.
% 167.99/168.21  ** KEPT (pick-wt=17): 502 [copy,375,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 167.99/168.21  ** KEPT (pick-wt=15): 503 [copy,377,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(c_COMBC(A,D,E,F),C),B).
% 167.99/168.21  >>>> Starting back demodulation with 379.
% 167.99/168.21  ** KEPT (pick-wt=25): 504 [copy,380,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 167.99/168.21  ** KEPT (pick-wt=20): 505 [copy,381,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),c_COMBK(C,tc_fun(A,tc_bool),B),B,tc_fun(A,tc_bool)).
% 167.99/168.21  >>>> Starting back demodulation with 384.
% 167.99/168.21  >>>> Starting back demodulation with 388.
% 167.99/168.21  >>>> Starting back demodulation with 390.
% 167.99/168.21  >>>> Starting back demodulation with 392.
% 167.99/168.21      >> back demodulating 387 with 392.
% 167.99/168.21  >>>> Starting back demodulation with 394.
% 167.99/168.21  ** KEPT (pick-wt=11): 506 [copy,395,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 167.99/168.21  >>>> Starting back demodulation with 397.
% 167.99/168.21  >>>> Starting back demodulation with 401.
% 167.99/168.21  ** KEPT (pick-wt=19): 507 [copy,403,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 167.99/168.21  >>>> Starting back demodulation with 409.
% 167.99/168.21  >>>> Starting back demodulation with 413.
% 167.99/168.21    Following clause subsumed by 414 during input processing: 0 [copy,414,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 167.99/168.21  >>>> Starting back demodulation with 417.
% 167.99/168.21  >>>> Starting back demodulation with 419.
% 167.99/168.21      >> back demodulating 204 with 419.
% 167.99/168.21  >>>> Starting back demodulation with 421.
% 167.99/168.21  >>>> Starting back demodulation with 423.
% 167.99/168.21    Following clause subsumed by 424 during input processing: 0 [copy,424,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 167.99/168.21  >>>> Starting back demodulation with 426.
% 167.99/168.21  >>>> Starting back demodulation with 428.
% 167.99/168.21  >>>> Starting back demodulation with 430.
% 167.99/168.21  >>>> Starting back demodulation with 432.
% 167.99/168.21      >> back demodulating 352 with 432.
% 167.99/168.21      >> back demodulating 351 with 432.
% 167.99/168.21      >> back demodulating 348 with 432.
% 167.99/168.21      >> back demodulating 346 with 432.
% 167.99/168.21      >> back demodulating 342 with 432.
% 167.99/168.21      >> back demodulating 341 with 432.
% 167.99/168.21      >> back demodulating 331 with 432.
% 167.99/168.21  >>>> Starting back demodulation with 435.
% 167.99/168.21  >>>> Starting back demodulation with 438.
% 167.99/168.21      >> back demodulating 372 with 438.
% 167.99/168.21      >> back demodulating 203 with 438.
% 167.99/168.21      >> back demodulating 202 with 438.
% 167.99/168.21      >> back demodulating 140 with 438.
% 167.99/168.21      >> back demodulating 138 with 438.
% 167.99/168.21  >>>> Starting back demodulation with 440.
% 167.99/168.21  >>>> Starting back demodulation with 442.
% 167.99/168.21  >>>> Starting back demodulation with 444.
% 167.99/168.21  >>>> Starting back demodulation with 446.
% 167.99/168.21  ** KEPT (pick-wt=25): 512 [copy,447,flip.1] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(B,C,D),A,D,tc_fun(E,tc_bool)).
% 167.99/168.21  ** KEPT (pick-wt=31): 513 [copy,448,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,tc_fun(D,tc_bool)).
% 167.99/168.21  >>>> Starting back demodulation with 450.
% 167.99/168.21  >>>> Starting back demodulation with 453.
% 167.99/168.21      >> back demodulating 449 with 453.
% 167.99/168.21      >> back demodulating 325 with 453.
% 167.99/168.21  ** KEPT (pick-wt=21): 515 [copy,455,flip.1] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)=c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(B,tc_bool)),B).
% 167.99/168.21  >>>> Starting back demodulation with 458.
% 167.99/168.21  ** KEPT (pick-wt=27): 516 [copy,459,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 167.99/168.21  ** KEPT (pick-wt=27): 517 [copy,460,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 167.99/168.21  >>>> Starting back demodulation with 462.
% 167.99/168.21  >>>> Starting back demodulation with 464.
% 167.99/168.21  >>>> Starting back demodulation with 466.
% 167.99/168.21      >> back demodulating 144 with 466.
% 167.99/168.21  472 back subsumes 327.
% 167.99/168.21  >>>> Starting back demodulation with 477.
% 167.99/168.21      >> back demodulating 359 with 477.
% 167.99/168.21      >> back demodulating 358 with 477.
% 167.99/168.21      >> back demodulating 357 with 477.
% 167.99/168.21      >> back demodulating 356 with 477.
% 167.99/168.21      >> back demodulating 355 with 477.
% 167.99/168.21  478 back subsumes 467.
% 167.99/168.21    Following clause subsumed by 479 during input processing: 0 [copy,479,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 167.99/168.21    Following clause subsumed by 375 during input processing: 0 [copy,502,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 167.99/168.21    Following clause subsumed by 377 during input processing: 0 [copy,503,flip.1] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 167.99/168.21    Following clause subsumed by 380 during input processing: 0 [copy,504,flip.1] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 167.99/168.21    Following clause subsumed by 381 during input processing: 0 [copy,505,flip.1] 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)).
% 167.99/168.21    Following clause subsumed by 395 during input processing: 0 [copy,506,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 167.99/168.21    Following clause subsumed by 403 during input processing: 0 [copy,507,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 167.99/168.21  >>>> Starting back demodulation with 509.
% 167.99/168.21      >> back demodulating 378 with 509.
% 168.73/168.90      >> back demodulating 122 with 509.
% 168.73/168.90    Following clause subsumed by 447 during input processing: 0 [copy,512,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 168.73/168.90    Following clause subsumed by 448 during input processing: 0 [copy,513,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 168.73/168.90    Following clause subsumed by 455 during input processing: 0 [copy,515,flip.1] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D).
% 168.73/168.90    Following clause subsumed by 459 during input processing: 0 [copy,516,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 168.73/168.90    Following clause subsumed by 460 during input processing: 0 [copy,517,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 168.73/168.90  
% 168.73/168.90  ======= end of input processing =======
% 168.73/168.90  
% 168.73/168.90  =========== start of search ===========
% 168.73/168.90  
% 168.73/168.90  
% 168.73/168.90  Resetting weight limit to 2.
% 168.73/168.90  
% 168.73/168.90  
% 168.73/168.90  Resetting weight limit to 2.
% 168.73/168.90  
% 168.73/168.90  sos_size=112
% 168.73/168.90  
% 168.73/168.90  Search stopped in tp_alloc by max_mem option.
% 168.73/168.90  
% 168.73/168.90  Search stopped in tp_alloc by max_mem option.
% 168.73/168.90  
% 168.73/168.90  ============ end of search ============
% 168.73/168.90  
% 168.73/168.90  -------------- statistics -------------
% 168.73/168.90  clauses given                113
% 168.73/168.90  clauses generated          52889
% 168.73/168.90  clauses kept                 479
% 168.73/168.90  clauses forward subsumed     100
% 168.73/168.90  clauses back subsumed         12
% 168.73/168.90  Kbytes malloced            11718
% 168.73/168.90  
% 168.73/168.90  ----------- times (seconds) -----------
% 168.73/168.90  user CPU time          0.76          (0 hr, 0 min, 0 sec)
% 168.73/168.90  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 168.73/168.90  wall-clock time      168             (0 hr, 2 min, 48 sec)
% 168.73/168.90  
% 168.73/168.90  Process 3715 finished Wed Jul 27 05:51:11 2022
% 168.73/168.90  Otter interrupted
% 168.73/168.90  PROOF NOT FOUND
%------------------------------------------------------------------------------